Answer: -3
Step-by-step explanation:
[tex]-1 \leq f'(x) \leq 3\\\\-\int^{10}_{2} dx \leq \int^{10}_{2} f'(x) \text{ }dx \leq 3\int^{10}_{2} dx\\\\-8 \leq f(10)-f(2) \leq 24\\\\-8 \leq f(10)-5 \leq 24\\\\-3 \leq f(10) \leq 29[/tex]
1. Find the measure of y.
110°
z
yº
100°
87°
Answer:
97.8263768112
Step-by-step explanation:
Geometric Mean is denoted as 'x'
x = √(110×87)
x = √9570
∴ x = 97.8263768112
Define Geometric MeanThe Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values. For instance, the geometric mean for a given pair of numbers, say 3 and 1, is equivalent to (3 + 1) = 3 = 1.732.In other terms, the geometric mean is the product of n numbers divided by the nth root. The geometric mean differs from the arithmetic mean, as is noted. As a result of the fact that in arithmetic mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we multiply the provided data values before taking the root of the entire number of data values using the radical index. Take the square root, for instance, if there are two data points, the cube root if there are three, the fourth root if there are four, and so on.To learn more about Geometric Mean refer https://brainly.com/question/28347817
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in triangle ABC, AB = 6 cm, BC = 13cm and angle ACB = 23 degrees. Calculate angle BÁC, which is obtuse.
Answer:
[tex]\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]
Step-by-step explanation:
[tex]\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]
Solve for e.
2e + 3 + 7 = 2
e = [?]
What is the value of 5/9 ÷ 5/6? Responses
Answer:
2/3 or 0.667
Step-by-step explanation:
5/9 ÷ 5/6
5/9 * 6/5
1/3 * 2/1 (after cancelling off)
= 2/3
In AABC, b = 620 cm, ZC=106° and ZA=48°. Find the length of a, to the nearest
centimeter.
The length of A in the triangle is obtained as follows:
a = 282.74 cm.
How to obtain the missing side length?The first step in obtaining the missing side length is obtaining the measure of the missing angle.
The sum of the measures of the internal angles of a triangle is of 180º.
The angle measures for this triangle are given as follows:
106º.48º.26º. (as the sum of the three measures is of 180º).Then we have that:
The length of 620 cm is opposite to the angle of 106º.The length of a is opposite to the angle of 26º.Then the length of a is obtained applying the law of sines as follows:
sin(26º)/a = sin(106º)/620
Applying cross multiplication, we have that:
a = 620 x sin(26º)/sin(106º)
a = 282.74 cm.
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Answer:
the real answer is 1051
Step-by-step explanation:
FINALS PLEAZ HEL One year after you start a savings account you have $480 in the account. You were adding $120 each year write a linear function in the form y=mx+b that models your savings account a each year t after you start the account
Answer:
y = 120t + 480
Step-by-step explanation:
What i the value?
1/4 - 1/2 ( - 4/7)
Anwer
1) - 1 5/16
2) - 3/7
3) 3/7
4) 1 5/16
Answer:
None of these
Step-by-step explanation:
[tex]\frac{1}{4}+\frac{1}{2} \cdot \frac{4}{7}=\frac{1}{4}+\frac{4}{14}=\frac{1}{4}+\frac{2}{7}=\frac{7+8}{28}=\frac{15}{28}[/tex]
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true？
The true statements about the image of the parallelogram are,
The corresponding sides have different lengths.
The parallelograms are congruent.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A parallelogram in a coordinate plane is translated, rotated, and then reflected.
In the case of translation, rotation and reflection would only change its coordinate points, and the preimage and image will be congruent.
The coordinate points of the vertices would only change if given.
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referring to question 28, what is the value of a difference such that 60% of the age differences are less than it?
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
what is age difference ?If the age is expressed as a ratio, such as p:q, then qx and px are taken into account as the age. If you assume that you are x years old now, then n times that number is (xn) years. If you're assuming that x is the current age, then 1/n of that number will equal (x/n) years.
calculation
Let's say there is an age difference of x and y,
in which case the answer to question 28 should be 2.03 years:
(x-y)*60/100.
A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.
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Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.
Answer: 10.5 pounds of clay
Step-by-step explanation:
We know she uses three and one-half pounds of clay to make seven small vases.
3 1/2 = 3.5
21 is 3 times 7
So We take 3.5 times 3 = 10.5 pounds of clay
she will use 10.5 pounds of clay to make 21 small vases.
Mabel is creating a mural on a building wall that is 40ft tall and 50ft wide. Her original drawing is 2ft tall and 2.5ft wide. What scale factor will Mabel use to enlarge the design?
Answer:
Mabel will use scale factor of 20 to enlarge the design.
{ If you do need explanation, Please inform me.}
which of the following statements is a proposition? (a) get me a glass of milk (b) god bless you! (c) what is the time now? (d) the only odd prime number is 2
The proposition ststement is: the only prime number that is odd is 2.
The correct answer is an option (d)
In this question we have been given some statements.
we need to identify the proposition statement.
We know that a proposition is a declarative statement. In mathematics proposition gives a clear inference of whether a sentence is true or false. The proposition statement cannot be stated in two ways. The statement must be either correct or incorrect.
a) get me a glass of milkshake.
It is a commanding statement.
b) god bless you!
It is a type of optative statement.
c) what is the time now?
It is a question sentence.
d) the only odd prime number is 2.
It is a false proposition statement.
Therefore, option (d) is a proposition statement.
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Suppose Mr. Reed's class has 3 hours for presentations.
How many projects can be presented? Show your
solution by writing both a division equation and a
multiplication equation.
In 3 hour Mr. Reed can presents 15 presentations. The division equation and a multiplication equation are 3 ÷ 1/5 =15 and 3 × 5 = 15 respectively.
What is an equation of division?
Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety. The division operator and the numbers that are being divided will both be on one side. The other side displays the result of the division.
The 3 large rectangles represent the 3 hours.
Each presentation is 1/5 hour so each rectangle is divided into 5 equal sections.
From the model you can write the division equation: 3 ÷ 1/5 =15
You can also write the multiplication equation: 3 × 5 = 15
Both equations show 15 projects are presented in 2 hours.
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I need some with this I would really appreciate if you could be able to help me with this.
I don't see the picture. Can you send it in the message.
What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
(Question 15)
Answer:
D
Step-by-step explanation:
when we have the zeroes, we can build the polynomial by multiplying factors that will turn the functional value to 0 at exactly these points.
f(x) = (x - 3)(x + 6)(x - 1)
we don't need to do the full multiplications to see that the constant term of the polynomial is the result of the multiplication of all 3 constant terms of the factors :
-3 × +6 × -1 = +18
and therefore, D is the correct answer (as it is the only answer option with +18 as constant term).
the function f(x) goes through the point (-2,6). which of the following translation of f(x) will go through the point (3,5)?
option 1; f(x-5)+1
option 2; f(x+5)-1
option 3; f(x-5)-1
option 4; f(x+5)+1
Answer:
Option 3: the function that goes through the point (3, 5) is f(x-5)-1
Step-by-step explanation:
To find which function goes through the point (3, 5), we can substitute 3 for x and solve for the value of f(x).
For option 1, f(x-5)+1, we have:
f(3-5)+1 = f(-2)+1 = 6+1 = 7
For option 2, f(x+5)-1, we have:
f(3+5)-1 = f(8)-1 = ?
For option 3, f(x-5)-1, we have:
f(3-5)-1 = f(-2)-1 = 6-1 = 5
For option 4, f(x+5)+1, we have:
f(3+5)+1 = f(8)+1 = ?
Which equation is parallel to the equation y = x + 1 and goes through the points (1, 5)
A. y=x+5
B. y=x-1
C. y=x+1
D. y=x+4
Answer: D. y=x+4
Step-by-step explanation:
1. The equation will have the same slope
2. Plug in the given point to find b, the y-intercept
Express the confidence interval (0.008, 0.094) in the form of p^ - E < p < p^ + E
_ < p < _
Answer: A confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. In the case of the given confidence interval (0.008, 0.094), the interval is estimated to contain the true value of the population parameter with a confidence level of 95%.
To express this confidence interval in the form of p^ - E < p < p^ + E, where p^ is the point estimate of the population parameter and E is the margin of error, we first need to find the point estimate of the population parameter. The point estimate is the midpoint of the confidence interval, which is found by taking the average of the lower and upper bounds of the interval. In the case of the given confidence interval, the point estimate is (0.008 + 0.094) / 2 = 0.051.
The margin of error, E, is found by subtracting the point estimate from the upper and lower bounds of the confidence interval. In the case of the given confidence interval, the margin of error is 0.094 - 0.051 = 0.043 for the upper bound, and 0.051 - 0.008 = 0.043 for the lower bound.
Thus, the given confidence interval can be expressed in the form of p^ - E < p < p^ + E as 0.051 - 0.043 < p < 0.051 + 0.043, which simplifies to 0.008 < p < 0.094. This is the same as the original form of the confidence interval.
Help me with this question please!!
Answer:
∠1 = 19°∠2 = 76°Step-by-step explanation:
You want to know the measure of angle 1 given that angle 2 is four times angle 1, and their sum is 95°.
Angle sum theoremThe angle sum theorem tells you the whole is equal to the sum of the parts.
∠1 +∠2 = ∠WXZ
Using the given information, we can write ...
∠1 + (4×∠1) = 95°
5×∠1 = 95° . . . . . . . . collect terms
∠1 = 19° . . . . . . . . . divide by 5
Then angle 2 is ...
∠2 = 4×∠1 = 4×19°
∠2 = 76°
Given that there are 4 different trails to the top of a mountain.
We need to determine in how many different ways a person can hike up and down the mountain if:
a. He must take the same train both ways
b. He can, but need not, take the same train both ways
c. He does not want to take the same trail both ways.
For case (a), the person can hike up and down the mountain in 4 different ways. For case (b), the person can hike up and down the mountain in 15 different ways. For case (c), the person can hike up and down the mountain in 12 different ways.
In case (a), the person must take the same trail both ways, so there are only 4 different options available, one for each of the 4 trails.
In case (b), the person can take the same trail both ways if they choose, but they are not required to do so. This means that they have 4 different options for the trail they take on the way up, and then 4 different options for the trail they take on the way down. This results in a total of 4 x 4 = 16 different possibilities.
However, one of these possibilities is the case where the person takes the same trail both ways, which has already been counted in case (a), so we need to subtract this possibility to avoid double counting. This results in a total of 16 - 1 = 15 different possibilities.
In case (c), the person does not want to take the same trail both ways, so they have 4 different options for the trail they take on the way up, and then 3 different options for the trail they take on the way down (since they cannot take the same trail they took on the way up). This results in a total of 4 x 3 = 12 different possibilities.
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Select the number of the algebraic expression for "The room capacity does not exceed 250".
c>250
c≥250
c<250
c≤250
c≠250
The algebraic expression for "The room capacity does not exceed 250" is D. c≤250
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
It should be noted that "the room capacity does not exceed 250" simply means it should be less than or equal to 250. This will be c≤250.
In conclusion, the correct option is D.
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Here is part of a recipe for different-size cakes, showing the ratio of eggs to flour.
Make a table that represents the same situation.
eggs : 0 2 4 6
flour (cups) : 0 1.5 3 4.5
question, we have to calculate the ratio by dividing a by b we will get the ratio as [tex]\frac{4}{3}[/tex].
What is a ratio formula?Using the ratio formula, ratios can be represented as a fraction. The ratio formula for any two quantities says a and b, is a:b = a/b. Because a and b are individual amounts for two portions, the total quantity is given as (a + b).
How do you calculate the ratios of a recipe?Known Total Amount
Determine the total quantity to be produced.
Determine the total number of parts in the ratio.
Divide the total quantity made by the total number of parts to get the amount per part.
Calculate the amount of each ingredient by multiplying each component by the amount per part.
Given:
Here is the ratio of eggs to flour
Eggs(a) 0 2 4 6
Flour(b) 0 1.5 3 4.5
For the table look at the image.
as per the question, we have to calculate the ratio by dividing a by b we will get the ratios as [tex]\frac{4}{3}[/tex].
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2. Divide. Write the answer in simplest
form.
6 2/3 divided by 4 1/5
Answer:
100/63
Step-by-step explanation:
6 2/3 ÷4 1/5
20/3÷21/5
20/3×5/21
1 37/63 or 100/63 or 1.587301587
so the answer is one (whole number) thirty seven over sixty three
A) a wooden block is formed in a the shape shown by cutting a right rectangular solid from a larger one. What is the volume of the block
B) check your calculations by using a second method to solve the problem
The volume of the rectangular block in this problem is given as follows:
1300 cm³.
How to obtain the volume of the block?The block is a rectangular prism, hence it's volume is given by the multiplication of it's dimensions, as follows:
V = length x width x height.
The dimensions for this block are given as follows:
Length: 16 cm.Width: 10 cm.Height: 10 cm.However, there is a small rectangular block that is removed from the prism, with the dimensions given as follows:
Length: 6 cm.Width: 10 cm.Height: 5 cm.Hence the volume of the rectangular block can be calculated as follows:
V = 16 x 10² - 6 x 5 x 10 = 1300 cm³.
(total volume subtracted by the removed volume from the empty space at the middle).
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These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is placed back before the second draw. Write your answer as a ratio. Reduce to simplest terms
The probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.
Explain the term probability with replacement?For queries where the results are repeated in the sample space, probability with replacement is utilized. This indicates that the item is replaced with in sample space after being picked, keeping the sample space's total number of items constant.The formula for the probability;
probability = favourable outcome/total outcome
The bag contains the marbles as;
yellow marbles: 2pink marble: 3blue marble: 5Total marble: 10Thus, probability of drawing 1st yellow marble.
probability(1st yellow) = 2/10 = 1/5
As the ball is placed again in the bag.
probability(2nd yellow) = 2/10 = 1/5
So, probability of drawing two yellow marble = 1/5 x 1/5 = 1/25.
Thus, the probability of drawing two yellow marbles if the first one is placed back before the second draw is 1/25.
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9x + 2 = 10x +7
solve for x
Answer:
The value of x is (-5)
Step-by-step explanation:
9x + 2 = 10x + 7
9x - 9x + 2 - 7 = 10x - 9x + 7 - 7
(-5) = x
x = (-5)
Thus, The value of x is (-5)
I need help!! Please if you know how!!
Answer:
Step-by-step explanation:
Answer: 2
Answer:2
Step-by-step explanation:
PLEASE THIS IS SERIOUS
Solve for x
What is the process for doing the method of elimination for math systems?
Answer:
Elimination is the adding or subtracting of two equations used to solve them.
Step-by-step explanation:
Elimination is the adding or subtracting of two equations used to solve them.
Say you have this equation. [tex]\left \{ {{x + y=2} \atop {-x+y=6}} \right.[/tex]
Notice that the x in both equations are opposites. After adding together we get.
x + y - x + y = 2 + 6
2y = 8
y = 4
x + 4 = 2
x = - 2
(- 2,4)
Say you decide to subtract the equations.
[tex]\left \{ {{x+y=2} \atop {x+2y=8}} \right.[/tex]
x + y - x - 2y = 2 - 8
- y = - 6
y = 6
x + 6 = 2
x = - 4
(- 4, 6)
You can also multiply equations to make it easier to substitute.
[tex]\left \{ {{y+x=4} \atop {-2y+2x=8}} \right.[/tex]
[tex]\left \{ {{2y+2x=8} \atop {-2y+2x=8}} \right.[/tex]
2y + 2x - 2y + 2x = 8 + 8
4x = 16
x = 4
y + 4 = 4
y = 0
(4, 0)
Penny has 4 books she wants to read. If she randomly chooses one to read at a time, in how many different
sequences could she read all the books?
Your answer is :
Answer:
24
Step-by-step explanation:
