) Solve t + t + t = 12

Answers

Answer 1

Answer:

Step-by-step explanation:

t+t+t= 3t

3t = 12

12/3=t

4=t


Related Questions

What is the meaning of "invertible n x n matrices"?

Answers

Answer: A matrix A of dimension n x n is called invertible if and only if there exists another matrix B of the same dimension, such that AB = BA = I, where I is the identity matrix of the same order.

Step-by-step explanation:

hope it helped! <3

Roberto must make his costume for the school play. He needs a piece of fabric that is 2 2/3 yards long and 1 1/2 yard wide. What is the area of the piece of fabric Roberto needs?

Answers

Roberto needs 4 square yards of fabric to make his costume.

What is improper fraction?

A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. For instance, the fraction 7/3 is incorrect since 7 is bigger than 3. Mixed numbers, which combine a whole number and a correct fraction, can be created from improper fractions.

Given that, piece of fabric that is 2 2/3 yards long and 1 1/2 yard wide.

Convert the length from a mixed number to an improper fraction:

2 2/3 = (2 x 3 + 2)/3 = 8/3

1 1/2 = 3/2

The area of the rectangle is:

Area = Length x Width

Substituting the values we have:

Area = (8/3) x (3/2) = 4

Hence, Roberto needs 4 square yards of fabric to make his costume.

Learn more about improper fraction here:

https://brainly.com/question/29292275

#SPJ1

Mary is 21 years old. She buys 50/100/25 liability insurance, and collision and
comprehensive insurance, each with $500 deductibles. What is her total annual
premium? Round to the nearest dollar. Do not state the units. Be sure to show work.

Liability Insurance
Type Amount Premium
25/50 $240
50/100 $385
100/300 $450

Property damage 25 $210
50 $150
100 $140


Collision and comprehensive premiums

$250 $172 $112
$500 $102 $87
$750 $85 $52

Rating factor
Age

17-20 male Female

3.1 1.64

21-24. 2.53. 1.22


25-29 1.73 1.0

Answers

According to the given information, Mary's total annual premium is $574 (rounded to the nearest dollar).

What is multiplication ?

In mathematics, multiplication is an arithmetic operation that combines two or more numbers to produce a product. It is represented by the symbol "×" or "*", or by placing the numbers next to each other with no symbol between them.

According to the given information:

Mary is 21 years old, so according to the rating factor table, her rating factor is 1.22 for a female.

For liability insurance, Mary has chosen the 50/100/25 coverage, which means $50,000 for bodily injury per person, $100,000 for bodily injury per accident, and $25,000 for property damage per accident. The premium for this coverage is $385.

For collision and comprehensive insurance, Mary has chosen a $500 deductible, so her premiums are $102 for collision and $87 for comprehensive.

To find the total annual premium, we add up the premiums for liability insurance and collision/comprehensive insurance:

Total premium = Liability premium + Collision premium + Comprehensive premium

Total premium = $385 + $102 + $87

Total premium = $574

Therefore, according to the given information, Mary's total annual premium is $574 (rounded to the nearest dollar).

To know more about multiplication visit :

https://brainly.com/question/1135170

#SPJ1

HEEELLLLPPPPP MEEEEEEEEE

1. Solve.
a. 2/5t = 6
b. -4.5 = a-8
c. 1/2+p=-3
d. 1/2 = x3
e. -12 = -3y

Answers

The equation is saying that -12 is equal to -3 multiplied by y. To solve for y, divide both sides by -3. This would give an answer of 4.

What is equation?

An equation is a mathematical statement that expresses the equality or inequality of two values or expressions. It consists of two expressions connected by an equals sign, inequality sign or other relational operator. Equations can involve numbers, variables, and operations such as addition, subtraction, multiplication, division and exponentiation. An equation can be used to solve problems related to mathematics, science, engineering, finance, and many other disciplines. Equations can also be used to model and describe real-world phenomena.

t = 30

a = 12.5

p = -5.5

x = 2/3

y = 4.

To learn more about equation

https://brainly.com/question/2228446

#SPJ1

a. t = 30/2; To solve this equation, divide both sides by 2/5. The resulting equation is t = 30/2.

What is equation?

An equation is a mathematical statement that expresses the equality of two expressions by using an equals sign (=). It states that the two expressions on either side of the equals sign are equal in value. An equation is an example of a mathematical problem, which can be used to solve real-world problems.

b. a = 4.5; To solve this equation, add 8 to both sides. The resulting equation is a = 4.5.
c. p = -7/2; To solve this equation, add 3 to both sides. The resulting equation is p = -7/2.
d. x = 2; To solve this equation, divide both sides by 3. The resulting equation is x = 2.
e. y = 4; To solve this equation, divide both sides by -3. The resulting equation is y = 4.

To learn more about equation
https://brainly.com/question/2228446
#SPJ1

△CDE∼△PQR. CD=9 m, EC=15 m, PQ=15 m. What is the length of RP?

Answers

Answer:

RP = 25

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{RP}{EC}[/tex] = [tex]\frac{PQ}{CD}[/tex] ( substitute values )

[tex]\frac{RP}{15}[/tex] = [tex]\frac{15}{9}[/tex] ( cross- multiply )

9 RP = 15 × 15 = 225 ( divide both sides by 9 )

RP = 25

Part y Wa g on, Inc., provides musical entertainment at weddings, dances, and various other functions. The company performs adjusting entries monthly but prepares closing entries annually on December 31. The company recently hired Jack Armstrong as its new accountant. Jack’s first assignment was to p re p are an income statement, a statement of retained earnings, and a balance sheet usin g an adjusted trial balance given to him by his predecessor, dated December 31, the current year.

From the ad j usted trial balance, Jack p re p ared the followin g set of financial statements.

Answers

Preparation of a Corrected set of Financial Statements :

Income Statements :

PARTY WAGON .INC

INCOME STATEMENT

FOR THE YEAR ENDED DECEMBER 31

CURRENT YEAR

Party Revenue Earned

156,000

Total Revenue

156,000

Expenses :

Insurance Expenses

2,160

Office Rent Expense

14,400

Supplies Expense

1,440

Salary Expense

90,000

Repair and Maintainence expense

2,400

Travel Expense

7,200

Miscellaneous Expense

4,320

Interest Expense

5,280

Depreciation - Van

9,600

Depreciation -Music and Equipment

8,400

Total Expenses

145,200

Income Before Income Tax

10,800

Less : Income Tax Expense

2,400

Net Income

8,400

How to explain the financial statement

Jack included balance sheet accounts in the income statement, therefore the corrected income statement consisting of revenue and expenses accounts is provided above.

Statement of Retained Earnings :

Retained Earnings (As per adjusted trial balance)  18,000

Add : Net Income  8,400

Less : Dividends  (1,200)

Retained Earnings Dec 31, Current Year  25,200

Learn more about financial statement on;

https://brainly.com/question/26240841

#SPJ1

the values or variables listed in the function declaration are called _____ paramters to the function.

Answers

The values or variables listed in the function declaration are called formal parameters to the function.

They are used to store the data that is passed into the function when it is called. The formal parameters are local variables, meaning that the values stored in them are only available within the function.

The arguments are the values passed to the function when it is called. These values are then assigned to the formal parameters and are used within the function to perform the desired task.

Formal arguments are produced at function entry and removed at function exit, behaving similarly to other local variables inside the function.

To learn more about formal parameters link is here

brainly.com/question/15008938

#SPJ4

PLS HELP FAST 50 POINTS + BRAINLIEST

Answers

Answer:

Anna had 23 sweets in her bag at the start of the day.

Step-by-step explanation:

Let's use working backwards to find out how many sweets were in the bag at the start of the day.

At the end of lesson 4, Anna had 1 sweet left in her bag. So, before she gave a sweet to her teacher in lesson 4, she had 2 sweets left in her bag.

In lesson 3, she gave out half of the sweets left in her bag and then gave one to the teacher. So, before she gave a sweet to her teacher in lesson 3, she had 2 x 2 + 1 = 5 sweets in her bag.

In lesson 2, she gave out half of the sweets left in her bag and then gave one to the teacher. So, before she gave a sweet to her teacher in lesson 2, she had 5 x 2 + 1 = 11 sweets in her bag.

In lesson 1, she gave out half of the sweets in her bag and then gave one to the teacher. So, before she gave a sweet to her teacher in lesson 1, she had 11 x 2 + 1 = 23 sweets in her bag.

Therefore, Anna had 23 sweets in her bag at the start of the day.

SORRY IF THIS IS WRONG
1+1 = 2 2x2 = 4 = what was left at the start of lesson 4
4 + 1 = 5
5 x 2 = 10 = what was left at the start of lesson 3
10 + 1 = 11
11 x 2 = 22 = what was left at the start of lesson 2
22 + 1 = 23
23 x 2 = 46
So at the start of the day there was 46 sweets

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.
What is
P
(
A
or
B
)
P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answers

There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt. We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks, P(B) is the probability of selecting an outfit with a black shirt, and P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6
P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B) = 1/6 + 1/6 - 0 = 1/3

So the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

In △ △ ABC, CJ = 18. If CG = BG, what is KJ? Triangle A B C is divided by 4 segments. A H is the height. C J extends from C to side A B. B I extends from B to side A C. H I extends from the height on B C to I on A C. C J and B I intersect at point K. A J and B J are congruent. A I and C I are congruent.

Answers

Solving for CI in terms of the given lengths, we get: [tex]Cl=\frac{\sqrt{BG^{2} -IM^{2} } }{\sqrt{2} }[/tex]

Substituting this expression for CI and the given value for CG into the expression for BI, we get:  [tex]BI=CG-\frac{\sqrt{BG^{2} -IM^{2} } }{\sqrt{2} }[/tex].

What is triangle?

A triangle is a three-sided polygon, which is a closed two-dimensional shape with straight sides. In a triangle, the three sides connect three vertices, or corners, and the angles formed by these sides are called the interior angles of the triangle. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified by their side lengths and angle measurements. For example, an equilateral triangle has three sides of equal length, and all of its angles are 60 degrees; an isosceles triangle has two sides of equal length, and its base angles are also equal; a scalene triangle has three sides of different lengths, and all of its angles are also different. Triangles are a fundamental shape in mathematics and geometry, and they have numerous applications in fields such as architecture, engineering, physics, and more.

Given by the question.

Based on the given information, we can start by drawing a diagram of triangle ABC and the segments AH, BJ, CI, CJ, and BI as described.

Since CG = BG, we can draw the perpendicular bisector of side AC passing through point G, which will intersect side AB at its midpoint M.

Now, we can see that triangle CGB is isosceles with CG = BG, so the perpendicular bisector of side CB also passes through point G. This means that G is the circumcenter of triangle ABC, and therefore, the distance from G to any vertex of the triangle is equal to the radius of the circumcircle.

Next, we can use the fact that AJ and BJ are congruent to draw the altitude from point J to side AB, which we will call JN. Similarly, we can draw the altitude from point I to side BC, which we will call IM.

Since AJ and BJ are congruent, the altitude JN will also be the perpendicular bisector of side AB, so it will pass through point M. Similarly, the altitude IM will pass through point G, which is the circumcenter of triangle ABC.

Now, we can use the Pythagorean theorem to find the lengths of JN and IM in terms of the given lengths:

[tex]JN^{2}= AJ^{2} -AN^{2} \\ = ( AH+HN)^{2} - AN^{2} \\=AH^{2} +2AH*HN+HN^{2}-AN^{2} \\[/tex]

[tex]IM^{2}= CI^{2} -CM^{2} \\=( CG-GM)^{2} -CM^{2} \\CG^{2}-2CG*GM+GM^{2} -CM^{2}[/tex]

Since CG = BG and GM = BM (since M is the midpoint of AB), we can simplify the expression for IM^2 as follows:

[tex]IM^{2}[/tex] = [tex]BG^{2}[/tex] - 2BG * BM + [tex]BM^{2}[/tex] - [tex]CM^{2}[/tex]

= [tex]BG^{2}[/tex] - [tex]BM^{2}[/tex] - [tex]CM^{2}[/tex]

Now, we can use the fact that BJ and CI intersect at point K to find the length of KJ:

KJ = BJ - BJ * (CK/CI)

= BJ * (1 - CK/CI)

= BJ * (1 - BM/CM)

To find BM/CM, we can use the fact that triangle BCI is isosceles with BI = CI, so the altitude IM is also a median of the triangle. This means that CM = 2/3 * BI. Similarly, we can find BJ in terms of JN using the fact that triangle ABJ is isosceles with AJ = BJ:

BJ = 2 * JN

Substituting these expressions into the equation for KJ, we get:

KJ = 2 * JN * (1 - 2/3 * BI/CM)

Now, we just need to find BI/CM in terms of the given lengths. Using the fact that triangle BCI is isosceles with BI = CI, we can find BI in terms of CG:

BI = CG - CI

Substituting this expression into the equation for [tex]IM^{2}[/tex]and simplifying, we get:

[tex]IM^{2}[/tex] =[tex]BG^{2}[/tex] - CG * CI

To learn more about Pythagorean theorem:

https://brainly.com/question/28361847

#SPJ1

Two cellphone companies are offering different rate plans. Rogers is offering $19.99 per month, which includes a
maximum of 200 weekday minutes plus $0.35 for every minute above the maximum. TELUS is offering $39.99 for a
maximum 300 weekday minutes, but it charges $0.10 for every minute above the maximum. Above how many minutes
would TELUS be the better choice?

Answers

TELUS is the better choice, because if you were to multiply the minutes above maximum on each, if the number of minutes above is high enough Rogers $0.35 will eventually add up to TELUS’ $0.10 and will become more expensive.

find a parameterization of each of the following surfaces, in terms of sines, cosines, and hyperbolic sines and cosines

Answers

Parameterizing a surface over a rectangle Parameterizing the surface z = x²+2y² over the rectangular region R defined by -3 ≤ x ≤ 3, −1 ≤ y ≤ 1 are falls under the range of R.

Let's start by expressing x and y as functions of u and v. Since x varies between -3 and 3 over R, we can use the following parameterization for x:

x = u

where u varies between -3 and 3. Similarly, since y varies between -1 and 1 over R, we can use the following parameterization for y:

y = v

where v varies between -1 and 1.

Next, we can use these parameterizations for x and y to express z as a function of u and v. Substituting x = u and y = v into the equation z = x² + 2y², we get:

z = u² + 2v²

So, the parameterization of the surface z = x² + 2y² over the rectangular region R is given by:

x = u, y = v, z = u² + 2v²

where -3 ≤ u ≤ 3 and -1 ≤ v ≤ 1.

The parameterization allows us to study various properties of the surface z = x² + 2y² over the rectangular region R.

To know more about surface area here

https://brainly.com/question/27784309

#SPJ4

Complete Question:

Parameterizing a surface over a rectangle Parameterizing the surface z = x²+2y² over the rectangular region R defined by -3 ≤ x ≤ 3, −1 ≤ y ≤ 1.

Please help!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

try this option (see the attachment), answers are marked with red colour.

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries.
Net exports are obtained by subtracting total imports from total exports; a negative net export means the
country imported more goods than it exported.
Net Exports (Billions of dollars)
United States
Denmark
China
Germany
Spain
-150 -100
-50
Net Exports (Billions of dollars)
What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
b. 180 billion dollars
0 50 100 150
C. 90 billion dollars
d. 150 billion dollars

Answers

[tex]80[/tex] billion dollars' worth of net exports were made by China and Germany. The first claim is accurate.

What do the terms "export" and "import" mean?

Export is the process of supplying goods and services to some other nation. Contrarily, importing is the act of acquiring goods from outside and transferring them into one's own nation.

What does GDP export mean?

The domestic product (GDP) is a measure of all the products and services generated in the United States; thus, changes in exports change significantly in the demand for goods and services made in the United States abroad.

The total of China's and Germany's net exports would be:

[tex]50[/tex] billion + [tex]30[/tex] billion [tex]= 80[/tex] billion

As a result, Germany & China's consolidated net exports amounted to [tex]80[/tex] billion u.s. dollars, reflecting answer option (a).

To know more about exports visit:

https://brainly.com/question/20375046

#SPJ1

What is the average rate of change between
the points (17, 5) and (19, --1)?

Answers

The average rate of change between the points (17, 5) and (19, -1) is -3.

What is the average rate of change?

If we have a given function y = f(x) with two known points (a, f(a)) and (b, f(b)), then the average rate of change in that interval [a, b] is:

R = ( f(b) - f(a))/(b - a)

Here we have the two points (17, 5) and (19, -1)

So we have:

a = 17 and f(a) = 5

b = 19 and f(b) = -1

Replacing that in the formula for the average rate of change we will get:

R = (-1 - 5)/(19 - 17)

R = -6/2

R = -3

The average rate of change is -3

Learn more about average rate of change:

https://brainly.com/question/872850

#SPJ1

Point E represents the center of this circle. Angle DEF
has a measure of 80%.
Drag and drop a number into the box to correctly
complete the statement.
An angle measure of 80° is the size of an angle
that turns through
20
50
one-degree turns.
80
100
K

Answers

The measure of the arc intercepted by the angle and the vertical angles make up the angle subtended at the center. As a result, XYZ has a value of 35°.

What are angles?

Two lines intersect at a location, creating an angle.

An "angle" is the term used to describe the width of the "opening" between these two rays. The character is used to represent it.

Angles are frequently expressed in degrees and radians, a unit of circularity or rotation.

In geometry, an angle is created by joining two rays at their ends. These rays are referred to as the angle's sides or arms.

An angle has two primary components: the arms and the vertex. T

he two rays' shared vertex serves as their common terminal.

Hence, The measure of the arc intercepted by the angle and the vertical angles make up the angle subtended at the center. As a result, XYZ has a value of 35°.

Learn more on angles here click here:

brainly.com/question/2046046

#SPJ1

Allan painted the circular patch on his driveway. He used the formula below to calculate the area of the circular patch. The diameter of the circular patch was 20 meters. What was the area of the patch? Assume pi=3.14

Answers

Answer: 314 square meters

Step-by-step explanation:

The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle. Since the diameter of the circular patch is given as 20 meters, the radius would be half of that or 10 meters.

So, using the formula, we can calculate the area of the circular patch as follows:

A = πr^2

A = π(10)^2

A = 3.14(100)

A = 314 square meters

Therefore, the area of the circular patch is 314 square meters.

PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.

Answers

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

Bradley went to the store to buy ingredients for a new recipe. Artichokes were on sale for $3 per pound.
How much did Bradley pay if he bought
2
3
of a pound?
A $6. B $5. C $3 D $2

Answers

Answer :

Step-by-step explanation to problem:

2/3 * 3 = 2

we do 2/3 times 3 because $3 is for 1 pound and here we only need 2/3 of a pound

$2

Correct Answer = D

TRUE/FALSE. Every random sample of the same size from a given population will produce exactly the same confidence interval for μ.

Answers

FALSE. Every random sample of the same size from a given population will not produce exactly the same confidence interval for μ.

The confidence interval is a statistical measure used to estimate the range of values within which a population parameter is likely to fall. The confidence interval is calculated based on the sample mean and standard deviation, as well as the level of confidence desired.

Suppose we take a random sample of size n from a population, and calculate the confidence interval for the population mean using this sample. The sample mean and the sample standard deviation will be used to estimate the true population mean and the population standard deviation, respectively. However, as the sample is random, each sample—despite being drawn from the same population—will have different values for the sample mean and standard deviation. Thus, different samples will produce different confidence intervals for the population mean.

Moreover, the size of the sample also affects the width of the confidence interval; larger samples tend to produce more precise estimates of the population mean, while smaller samples yield larger confidence intervals. Therefore, random samples of different sizes from a given population will also produce different confidence intervals.

In summary, the confidence interval is a statistical measure that provides a range of likely values for the population parameter, such as the population mean. While it can be calculated using any random sample from a population, different samples of the same size or different sizes will generally produce different confidence intervals.

To know more about confidence interval click here:

brainly.com/question/24131141

#SPJ4

ellas normal rate of pay is $10.40 an hour.

How much is she paid for working 5 hours overtime one Saturday at time-and-a-half?

Answers

Answer:

52

Step-by-step explanation:

10.40 TIMES 3

let z=a+bi/a-bi where a and b are real numbers. prove that z^2+1/2z is a real number.

Answers

Answer:

Step-by-step explanation:

To prove that z^2 + 1/2z is a real number, we need to show that the imaginary part of z^2 + 1/2z is equal to zero.

We know that z = (a+bi)/(a-bi)

Multiplying the numerator and denominator by the complex conjugate of the denominator, we get

z = (a+bi)(a+bi)/(a-bi)(a+bi)

z = (a^2 + 2abi - b^2)/(a^2 + b^2)

Expanding z^2, we get:

z^2 = [(a^2 + 2abi - b^2)/(a^2 + b^2)]^2

z^2 = (a^4 + 2a^2b^2 + b^4 - 2a^2b^2 + 4a^2bi - 4b^2i)/(a^4 + 2a^2b^2 + b^4)

Simplifying, we get:

z^2 = (a^4 - b^4 + 2a^2bi)/(a^4 + 2a^2b^2 + b^4)

Now, let's compute z^2 + 1/2z:

z^2 + 1/2z = (a^4 - b^4 + 2a^2bi)/(a^4 + 2a^2b^2 + b^4) + 1/2[(a+bi)/(a-bi)]

To simplify this expression, we need to find a common denominator:

z^2 + 1/2z = (2a^5 - 2a^3b^2 + 3a^4b - 3ab^4 - 2b^5 + 3a^3bi + 3ab^3i)/(2(a^4 + 2a^2b^2 + b^4))

We can see that the imaginary part of z^2 + 1/2z is (3a^3b - 3ab^3)/(2(a^4 + 2a^2b^2 + b^4))

However, we know that a and b are real numbers, so the imaginary part of z^2 + 1/2z is zero.

Therefore, z^2 + 1/2z is a real number.

If a drug has a concentration of 5.315 mg per 3.743 mL, how many mL are needed to give 4.719 gram of the drug? Round to 1 decimal.

Answers

Answer:

888.4 mL.

Step-by-step explanation:

To solve this problem, we can use the following formula:

Amount of drug (in mg) = concentration (in mg/mL) × volume (in mL)

We are given the concentration of the drug as 5.315 mg per 3.743 mL. To find the volume of the drug needed to give 4.719 g, we need to rearrange the formula to solve for volume:

Volume (in mL) = amount of drug (in mg) ÷ concentration (in mg/mL)

First, we need to convert 4.719 g to mg by multiplying by 1000:

4.719 g × 1000 mg/g = 4719 mg

Now we can substitute the given concentration and the calculated amount of drug into the formula and solve for volume:

Volume (in mL) = 4719 mg ÷ 5.315 mg/mL

Volume (in mL) ≈ 888.5 mL

Therefore, approximately 888.5 mL of the drug are needed to give 4.719 g. Rounded to 1 decimal, the answer is 888.4 mL.

Use implicit differentiation to find an equation of the tangent line to the curve sin(x+y)=8x−8y at the point (π,π)

Answers

The equation of the tangent line to the curve sin( x y) = 8x- 8y on the factor( π, π) is y = (7/9) x-( 2π/ 9).

To discover the equation of the tangent line to the curve sin( x y) = 8x- 8y on the point( π, π), we want to apply implicit differentiation to discover the pitch of the tangent line at that point.

We begin through differencing both sides of the equation with reference to xcos( x y)( 1 dy/ dx) = eight- 8dy/ dx

After, we can simplify the expression by isolating the terms beholding dy/ dx on one aspect

cos( x y) cos( x y) dy/ dx = 8- 8dy/ dx

8 cos( x y)) dy/ dx = 8- cos( x y)

dy/ dx = ( 8- cos( x y))( 8 cos( x y))

Now we're suitable to discover the pitch of the tangent line at the factor( π, π) by plugging in x = π and y = π into the expression we simply derived

dy/ dx = ( 8- cos( 2π))( 8 cos( 2π))

dy/ dx = ( 8- 1)/( 8 1)

dy/ dx = 7/ nine

Thus, the pitch of the tangent line to the curve sin( x y) = 8x- 8y at the factor( π, π) is7/9.

To find the equation of the tangent line, we can use the point- slope form of the equation

y- y1 = m( x- x1)

In which m is the pitch we simply set up, and( x1, y1) is the point( π, π). Plugging in the values, we get

y- π = ( 7/ nine)( x- π)

Simplifying, we get

y = ( 7/ nine) x-( 2π/ nine)

Thus, the equation of the tangent line to the curve sin( x y) = 8x- 8y on the factor( π, π) is y = (7/9) x-( 2π/ 9).

Learn more about  implicit differentiation:-

https://brainly.com/question/30073882

#SPJ4

To approximate binomial probability plx > 8) when n is large, identify the appropriate 0.5 adjusted formula for normal approximation. O plx > 7.5) O plx >= 9) O plx > 9) O plx > 8.5)

Answers

The appropriate 0.5 adjusted formula for normal approximation is option (d) p(x > 8.5)

The appropriate 0.5 adjusted formula for normal approximation to approximate binomial probabilities when n is large is

P(Z > (x + 0.5 - np) / sqrt(np(1-p)))

where Z is the standard normal variable, x is the number of successes, n is the number of trials, and p is the probability of success in each trial.

To approximate binomial probability p(x > 8) when n is large, we need to use the continuity correction and find the appropriate 0.5 adjusted formula for normal approximation. Here, x = 8, n is large, and p is unknown. We first need to find the value of p.

Assuming a binomial distribution, the mean is np and the variance is np(1-p). Since n is large, we can use the following approximation

np = mean = 8, and

np(1-p) = variance = npq

8q = npq

q = 0.875

p = 1 - q = 0.125

Now, using the continuity correction, we adjust the inequality to p(x > 8) = p(x > 8.5 - 0.5)

P(Z > (8.5 - 0.5 - 8∙0.125) / sqrt(8∙0.125∙0.875))

= P(Z > 0.5 / 0.666)

= P(Z > 0.75)

Therefore, the correct option is (d) p(x > 8.5)

Learn more about binomial probability here

brainly.com/question/29350029

#SPJ4

The given question is incomplete, the complete question is:

To approximate binomial probability p(x > 8) when n is large, identify the appropriate 0.5 adjusted formula for normal approximation. a) p(x > 7.5) b)  p(x >= 9) c) p(x > 9) d) p(x > 8.5)

Oliver's normal rate of pay is $10.40 an hour.

How much is he paid for working 5 hours overtime one Saturday at time-and-a-half?

Answers

For this problem you want to multiply your hourly rate by your time worked and then you also want to multiply it by you time and a half factor so your problem should look like, 10.40 x 5 x 1.5 = ? And if you plug that all into a calculator you will get $78

given f(x) and g(x) find the value of (gof)(5)

Answers

Answer:

Assuming that (gof)(5) means (g(f(5))):

(gof)(5) = g(f(5)) = g(3x + 7) = 5x + 2

Therefore, (gof)(5) = 5(3x + 7) + 2 = 15x + 17.

A water cooler springs a leak and empties in 2 minutes. The graph below shows the rate at which water leaks from the cooler as a function of time.

Answers

The amount of water that was in the cooler before it started leaking was 6 gallons.

Describe Integration?

Integration is a mathematical process that involves finding the integral of a function. It is the reverse operation of differentiation, which involves finding the derivative of a function. The integral of a function is a measure of the area under the curve of the function, between two given limits of integration.

The graph shows the rate at which water leaks from the cooler as a function of time, which means that the y-axis represents the rate of leakage in gallons per minute (gal/min), and the x-axis represents the time in minutes.

Since we know that the cooler emptied in 2 minutes, we can integrate the leakage rate over the time interval [0, 2] to find the total amount of water that leaked out:

Total amount of water leaked = ∫[0,2] leakage rate(t) dt

The leakage rate is given by the graph, which consists of a straight line connecting two points: (0,6) and (2,0). We can express this line as a linear equation in slope-intercept form:

leakage rate(t) = mt + b

where m is the slope of the line and b is the y-intercept. To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0,6) and (x2, y2) = (2,0). Plugging in the values, we get:

m = (0 - 6) / (2 - 0) = -3

So the equation of the line is:

leakage rate(t) = -3t + 6

Now we can integrate this equation over the time interval [0, 2] to get the total amount of water leaked:

Total amount of water leaked = ∫[0,2] (-3t + 6) dt

= [-3t²/2 + 6t] from 0 to 2

= (-3(2)²/2 + 6(2)) - (-3(0)²/2 + 6(0))

= (6 - 0) - (0 - 0)

= 6 gallons

Therefore, the amount of water that was in the cooler before it started leaking was 6 gallons.

To know more about amount visit:

https://brainly.com/question/14806644

#SPJ1

The complete question is :

PLS HELP FAST + BRAINLIEST!!

Answers

You just collect like terms
2x - 5 + x + x + 3
= 4x - 2 which you can simplify to 2x - 1

x - 5 + x - 5 + 3x - 1 + 3x - 1
=8x - 12 and you can simplify further to 2x -3

for the square you can just times the length by 4 as the sides are equal
4(3x - 2y) = 12x -8y and you can simplify this to 3x -2y

the larger leg of a right triangle is 7cm more than the smaller leg the hypotenuse is 17cm find each leg

Answers

Answer:

So the lengths of the legs are approximately 8.6 cm and 15.6 cm.

Step-by-step explanation:

Let's call the smaller leg "x" and the larger leg "x + 7". According to the Pythagorean theorem, we know that:

x^2 + (x + 7)^2 = 17^2

Expanding the square on the left side and simplifying, we get:

2x^2 + 14x - 210 = 0

Dividing both sides by 2, we get:

x^2 + 7x - 105 = 0

Now we can solve for x using the quadratic formula:

x = (-7 ± sqrt(7^2 - 4(1)(-105))) / 2(1)

x = (-7 ± sqrt(649)) / 2

x ≈ -15.6 or x ≈ 8.6

Since we're dealing with lengths of sides in a triangle, we can't have a negative value for x. So we discard the negative solution and conclude that the smaller leg is approximately 8.6 cm.

To find the larger leg, we add 7 to x:

x + 7 ≈ 15.6 cm

Other Questions
Positioning relies on the communication of one or more sources of value to customers in a way that the customer can easily make the connection between the ________.Select one:a. way the 4Ps of the marketing mix work with one anotherb. customer's needs and wants and what the product has to offerc. cost of the product and the qualityd. product and its advertisinge. salesperson and the customer at a personal levelStrategic fit means there is a good match of a target market to the firm's culture and resource capabilities.Select one:TrueFalseA marketing manager using VALS is interested in ________ segmentation.Select one:a. occupationalb. educationalc. geodemographicd. geographice. psychographicHerboCare, a company that sells herbal soaps, has failed to increase its sales, as consumers could not understand how soaps made by HerboCare were different or better than other herbal soaps available in the market. In this scenario, HerboCare is suffering from the positioning error of ________.Select one:a. underpositioningb. confused positioningc. doubtful positioningd. overpositioninge. repositioning________ segmentation recognizes that there may be a number of consistent needs and wants demonstrated by consumers based on what type of job they have.Select one:a. Genderb. Occupationalc. Educationald. Sociale. Age Question 7 of 10 Which sentence best supports the idea that HA Schult sees value in trash? O A. Schult wants to clean up the environment. OB. Schult makes art out of trash. O C. Schult thinks there is too much trash. O D. Schult is an artistQUICK DUE TODAY. A nurse is providing teaching to a client who has a new diagnosis of fibromyalgia. Which of the following statements indicates an understanding of the teaching? pls help me ill give you brainlist Which social group is likely to be over-represented in interest groups?answer choicesthe wealthywhiteseducatedall of these groups are likely to be over-represented in interest groups Suppose you have a DNA fragment you would like to insert into the pSAP plasmid. The fragment has PstI and EcoRI restriction endonuclease sites near the 5' end and HindIII and Smal restriction endonuclease sites near the 3' end. Choose the best restriction endonuclease(s) to digest the both the DNA fragment and pSAP. Thank you for all the help everyone!!! :) 4^(-x)=1/256I believe it is x=4, but I need how to work it out pls thxxx Fatigue is a failure caused by a repetitive or fluctuating stress that is much lower than that required to cause fracture on a single application of load.(A) True(B) False the ability to grapple with the big questions of human existence, such as the meaning of life and death, with special sensitivity to issues of spirituality Judith is startled when her six-year-old daughter, Laura, sleepwalks into the family room. It is most likely that Laura is experiencing the __________ stage of the sleep cycle.A. REMB. firstC. thirdD. fourth given natural numbers a and b not both equal to 0, we know that there exist integers k and l with ak bl implementing activity-based costing . multiple select question. requires substantial resources should be done by a cross-functional team requires taking employees away from other tasks should be done using existing, historical data that can be verified Spam (junk e-mail) is a major annoyance for many people who use the internet. However spammers sometimes have to send thousands of messages to get just one response that pays money. Given this information: an event schema is also known as a cognitive ________. In the declaration of independence, what was Thomas major claim and the support given in the Declaration. In your opinion, is the support sufficient for the claim? Does it have to be? Marketers can classify business-to-business buying situations into three general categories:A. new buy, repeat purchase, and modified purchase.B. new buy, straight rebuy, and modified rebuy.C. consumer, government, and institutional.D. retail, wholesale, and resell.E. new purchase, modified purchase, and extended purchase. Which of the following best describes topsoil? which of the following disk maintenance utilities locates and disposes of files that can be safely removed from a disk? A system of equations is graphed on the coordinate plane.A student concludes that the solution of the system is (-0.5, 1.5).Is this correct? Justify your response. give three examples of contracts you are currently a part of or have been a part of in the past. identify whether they are unilateral or bilateral; express or implied; executed or executory.