PLES HELP ASAP Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Show that the ratios
10
20
and
30
60
form a proportion by finding a common multiplier.
Show that the ratios in part (a) are equal by writing them in simplest form.

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also be used to indicate other characteristics of the logical grammar, such as the operation order.

We are given that there are two conditions for bottles. A 30 -ounce bottle for $ 6.00 or in a 24-ounce bottle for $ 4.08.  The unit price for each bottle will be: The bottle having the lower price will be:-

30-ounce bottle = $6.00

One ounce bottle = 30 / 6.00 = $5.00

and

24-ounce bottle = $4.08

One ounce bottle = $24/ 4.08 = $5.88

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

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Answer:

Step-by-step explanation:

Well, it seems like you're adding 5 each time so
45.7
46.2
46.7
47.7
48.2
48.7

Step-by-step explanation:

x = second number

first number = x - 6

third number = 4x

x - 6 + x + 4x = 96

6x - 6 = 96

6x = 102

x = 102/6 = 17

first number = x - 6 = 17 - 6 = 11

second number = x = 17

third number = 4x = 4×17 = 68

a. The water's balloon height is increasing during the following interval: [0,2].

b. The water's balloon height is staying the same during the following interval: [2,4].

c. The water's balloon height is decreasing the fastest during the following interval: [8,10].

d. The estimate of the water's balloon height after 14 seconds is of 0 feet.

The graph of a function is classified as either increasing, decreasing or constant, according to the definitions as follows:

The decreases from this graph are given as follows:

After the balloon hits the ground, it doesn't rise anymore, hence the estimate for the height at a time of 14 seconds is of 0 feet.

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Answer:

B

Step-by-step explanation:

2x + 2 + 5x + 3 = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25°

The area of square is 100 square centimeter.

What is square?

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.

Given:

A square has sides 10 centimeters long.

We have to find the area of square.

Since,

Area of square = (side)^2

Here side of square is 10cm

So,

Area of square = (10 cm)^2

Area of square = 100 cm^2

Hence, the area of square is 100 square centimeter.

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The correlation coefficient of -0.98 suggests a negative association between the two predictor variables.

Correlation coefficients measure the strength of a linear relationship between two variables, x and y. A value less than zero denotes a negative relationship.

The correlation coefficient can have values ranging from -1.0 to 1.0. In other words, the numbers must be larger than or less than 1.0. A correlation of -1.0 indicates that there is a perfect negative connection, whereas a correlation of 1.0 indicates that there is a perfect positive correlation.

A positive link is represented by a correlation coefficient greater than zero. The connection is negative if the value is less than zero. A value of 0 indicates that there is no association between the two variables.

Before analysing the correlation, the covariance of the two variables in question must be evaluated. Electronic commerce refers to the sale of electronic items. The correlation coefficient is computed by dividing the covariance by the product of the two variables' standard deviations.

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Tan P expressed as a fraction in simplest terms is 15/29

Trigonometric Identities are defined as equalities involving trigonometry functions and also holds true for all the values of variables given in the equation.

There are five types of trigonometric identities;

From the information given, we have that;

Opposite side = 15

Adjacent side = 29

But the tangent trigonometric identity is;

Tan P = opposite/adjacent

Substitute the value

Tan P = 15/29

Hence, the value is 15/29

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Answer:

Decreasing

Step-by-step explanation:

If you start on the upper left side of the graph and trace it, you will see that it is going down.  This is a negative or decreasing slope.

As the x values are increasing, the y values are decreasing.

Answer:

О B. Decreasing.

Step-by-step explanation:

The graph is decreasing because the line goes from left to right and from top to bottom:

Decreasing.

The millimetres of each solution needed are 80 millimetres and 50 millimetres, respectively

From the question, we have the following parameters that can be used in our computation:

Volume needed  = 130mL

Proportion = 59%

Available proportions = 44% and 83%

Represent the type of solutions with x and y

So, we have the following system of equations:

x  + y = 130

0.44x + 0.83y = 59% * 130

So, we have

x  + y = 130

0.44x + 0.83y = 76.7

Make x the subject in x  + y = 130

x = 130 - y

Substitute x = 130 - y in 0.44x + 0.83y = 76.7

0.44(130 - y) + 0.83y = 76.7

So, we have

57.2 - 0.44y + 0.83y = 76.7

Evaluate the like terms

0.39y = 19.5

Divide both sides by 0.39

y = 50

Substitute y = 50 in x = 130 - y

x = 130 - 50

Evaluate

x = 80

Hence. the amount of each is 80 and 50 millimetres

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Mindy needs to place the painting at 2.125 feet away from each side of the wall.

The horizontal distance of two side of a wall is defined as width and the vertical distance is called length of wall.

We need to place the paint at an equal distance from each side of wall (horizontal distance).

suppose Mindy will place the paint at x feet away from each side of wall.

for both side she counts 2x feet

width of wall =12.25 feet

width of painting= 8 feet

now, 8+ 2x = 12.25

   2x= 4.25

  x=2.125 feet

hence, Mindy will place the paint at 2.125 feet away from each side horizontally.

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The measurement of all the angles in the given geometrical image are mentioned below.

Given is a figure as shown in the image.

We can write the following equations -

∠1 + ∠2 + (8x - 8)° + (3x + 17)° = 360°

and

(8x - 8)° = (3x + 17)°                               {Vertically opposite angles}

8x - 3x = 17 + 8

5x = 25

x = 5

So -

8x - 8 = 8 x 5 - 8 = 32°

3x + 17 = 3 x 5 + 17 = 32°

So -

∠1 + ∠2 + (2 x 32) = 360°

2∠1 + 64 = 360

2∠1 = 296

∠1 = 148° = ∠2                                   {Vertically opposite angles}

∠6 = ∠1 = 148°

∠3 = 32°

∠5 = (180 - 148) = 32°

∠4 = 148°

∠6 = 148°

∠5 = 32°

Now -

(4y + 44) + (6y + 46) = 180°

10y + 90 = 180

10y = 90

y = 9

So -

(4y + 44) = 4 x 9 + 44 = 36 + 44 = 80

∠8 = 80°

Now -

6y + 46 = 6 x 9 + 46 = 100°

∠10 = 100°

∠11 = 80°

∠7 = ∠10 = 100°

∠7 = 100°

∠11 = ∠12 = 80°

∠12 = 80°

Therefore, the measurement of all the angles in the given geometrical image are mentioned above.

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Answer: A

Step-by-step explanation:

To solve this type of problem we must move some things around

3-(1/2)x>= 2

Isolate the variable: 3-3-(1/2)x>= 2-3

Simplify: -(1/2)x>= -1

Isolate the variable(continued): (-(1/2)*x)/(-1/2) >= -1/(-1/2)

Simplify: x>=2

It takes 5 years for the population to decrease to 46785 from the current population of 48500 of a small city whose population is decreasing by an average of 325 people per year.

It is given that,

Current population = 48500 people

Rate of decrease = 325 per year

Number of years = x

decreased population after x years  = 46785

Then, the equation is

46785 = 48500 - 325x

On simplifying the obtained equation, we get

46785 = 48500 - 325x

⇒ 325x = 48500 - 46785 = 1625

⇒ x = 1625/325 = 5 years

So, the people become 46785 after 5 years.

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Answer:

See below

Step-by-step explanation:

v w x y z  = e d c g f

v = e      w = d       x = c       y = g

  and       z = f  =  117°

Answer:

117°

Step-by-step explanation:

similar objects have the same angles (and as second attribute of the relation there is one common scale factor between the sides of one object to the other).

the naming gives us the first clue about the correct orientation of both objects when establishing the similarity relation :

VWXYZ and

EDCGF

the letters on to of each other corresponds to each other.

formally is actually not really a requirement.

and for that reason we also get Y = 135° and G = 135°.

in combination with the longer and shorter side sequences we know that Y corresponds to G.

and that makes Z correspond with F, and so

Z = F = 117°.

The triangle ABC is an isosceles triangle because AB = BC = √73

From the question, we have the following parameters that can be used in our computation:

A(0, 0), B(3, 8), and C(6,0).

An isosceles triangle is any triangle that has two of its sides to be equal

So, we start by calculating the lengths of the sides using the distance equation represented as follows

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

AB = √[(0 - 3)² + (0 - 8)²]

AB = √73

AC = √[(0 - 6)² + (0 - 0)²]

AC = 6

BC = √[(3 - 6)² + (8 - 0)²]

BC = √73

Because AB = BC = √73, then the triangle is an isosceles triangle

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All solutions of the following system of linear inequalities are given-

B (6, 2), C (9, 9), D (8, 2)

For the stated question,

Therefore, the solutions of the following system of linear inequalities are-

B (6, 2), C (9, 9), D (8, 2).

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The value of 'x' in the expression 20/x = 2 is 10.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression in the form of fraction 20/x = 2.

Now, To make 'x' in the numerator we'll move it to the other side which is,

2x = 20.

x = 20/2.

x = 10

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(a) The probability function for the random variable X is P(X = x) = [tex]^{3}C_{x}(0.15)^x(0.85)^{3-x}[/tex] at X=0,1,2 and 3 otherwise it is 0.

(b) The mean number of components out of 3 that fail, E[X] is 0.45.

(c) The var(X) is 0.3825.

(d) The probability that the entire system is successful, is 0.9966.

(e) The probability that the system fails is 0.0034.

(a) In the given question we have to write out a probability function for the random variable X.

Let X denote number of component out of 3 that fail. SO the random variable X can take 0, 1, 2 and 3.

Here the components act independently and that they equivalent in the sense that all 3 of them have an 85% success rate.

So the failure rate, 1-0.85 = 0.15

Thus X follows binomial distribution with parameters n=3 and p=0.15.

The probability function for the random variable X is

P(X = x) = [tex]^{3}C_{x}(0.15)^x(0.85)^{3-x}[/tex] at X=0,1,2 and 3 otherwise it is 0.

(b) Now we have to find E[X], the mean number of components out of 3 that fail.

E[X] = np

E[X] = 3*0.15

E[X] = 0.45

(c) Now we have to find the var(X).

var(X) = np(1-p)

var(X) = 3*0.15p(1-0.15)

var(X) = 0.3825

(d) Now we have to find the probability that the entire system is successful.

P(at least one component will work) = 1-P(All the component fail)

P(at least one component will work) = 1-P(X = 3)

P(at least one component will work) = 1-[tex]^3C_{3}(0.15)^3(0.85)^{3-3}[/tex]

P(at least one component will work) = 1-0.0034

P(at least one component will work) = 0.9966

(e) Now we have to find the probability that the system fails.

P(All the component fail) = P(X = 3)

P(All the component fail) = [tex]^3C_{3}(0.15)^3(0.85)^{3-3}[/tex]

P(All the component fail) = 0.0034

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In the current year, Bonnie sells stock valued at $60,000 to Linda for $15,000. Later that year, Bonnie gives Linda $25,000 in cash. Bonnie's taxable gifts from these transfers total a) $55,000.

Shares, also known as stocks, are securities that represent partial ownership of the issuing company. A unit of stock is called a "share" and allows the holder to receive a portion of the company's assets and profits equal to the number of shares held.

shares are traded primarily on stock exchanges and form the basis of many individual investor portfolios. Stock trading must comply with government regulations designed to protect investors from fraud.

Taxable Gifts:

Gifts valued at $75 or more are taxable.

Non-cash gifts of small value (less than $75 annually) to employees. Holiday turkeys are tax exempt.

tax-free value is capped at $1,600 for all her awards for one year.

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The number of minutes that will be used for commercials will be 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If the radio program plays 40 minutes of music.

Suppose the radio program is of one hour which is 60 minutes. Then the number of minutes will be used for commercials will be given as,

⇒ 60 - 40

⇒ 20 minutes

The number of minutes that will be utilized for plugs will be 20 minutes.

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Answer:

Step-by-step explanation:i'm pretty sure that y=x^2+14x+49=625.

Answer:

D. x=4

Step-by-step explanation:

32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles

m<2=m<RQP

m<1=m<SQP

m<RQP+m<SQP=m<SQR

m<2+m<1=m<SQR

m<2+m<2=m<SQR

(2+7x)+(2+7x)=16x-4

2+7x+2+7x=16x-4

2+2+7x+7x=16x-4

4+14x=16x-4

4-4+14x=16x-4+4

4+4+14x=16x-4+4

14x+8=16x

14x-14x+8=16x-14x

8=2x

x=8/2

x=4 ==> D

The wingspan of the model airplane is 16cm having a scale factor of 1:75.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given, the original airplane wingspan is 12 meter.

The scale factor given is 1:75

Let us consider the wingspan of the model plane to be 'l'

Thus, model wingspan/original wingspan = 1/75

⇒ l/12 = 1/75

⇒ l = 12/75

⇒ l = 0.16

Wingspan is 0.16 m or 16cm

The wingspan of the model airplane is 16cm having a scale factor of 1:75.

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In order for mn to be even, m must be even or n must be an even number.

The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.

Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:

Let n and m be equal to 2a +1  and 2b + 1 respectively, then their product is:

                 (2a +1) (2b + 1) = 4ab + 2a + 2b + 1

                                       = 2(2ab +a + b) + 1

This shows that the expression 2(2ab +a + b) + 1  is of the form 2n +1,  thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.

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The conditional statement that must also be true is given as follows:

If Stacie does not like pizza, then Amir does not like soda.

A conditional statement has the format defined as follows:

p -> q.

It is read as follows:

If p then q.

In which:

The statement in this problem is given as follows:

If Stacie likes pizza, then Amir likes soda.

Then the parameters are given as follows:

When the conditional statement is true, the inverse statement must also be true, that is:

~p -> ~q.

The symbol ~ represents negation.

Thus the inverse statement is given as follows:

If Stacie does not like pizza, then Amir does not like soda.

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Answer: After reconciling her check register with her statement, Erin needs to make the following entry in her register: $1123.72 - $879.87 + $62.42 + $21 + $61.14 - $60.24 - $50.24 - $40 = $226.23. This is the updated balance in Erin's account after accounting for all the transactions that were not reflected on her bank statement.

The statement is False.

If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is

y = 2.1 + 0.28x

If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

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The quadratic model using regression for the given time(seconds) and height (feet) is given by y = 1.287x + 3.602.

Ball will be at 3.28feet when time is equal to 0.43seconds

As given in the question,

From the given time (seconds) and height(feet):

let x be the time and y be the height,

from the table consider two points get the equation of line:

( 0.01, 1.88) and (0.11 , 3.05)

(y - 1.88)/ (x - 0.01) = (3.05 - 1.88)/ (0.11- 0.01)

⇒ y= 11.7x -1.763

Using regression model calculator,

Quadratic model of the data is given by:

y = 1.287x + 3.602

When y = 3.28feet

Then 3.28 = 11.7x - 1.763

⇒x = 0.43seconds

Therefore, the quadratic model of the data using regression is given by y = 1.287x + 3.602 and ball will be at height 3.28feet when time is 0.43seconds.

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