which expression represents the volume of the prism

Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.

The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.

∠5 and ∠6 are a linear pair. Therefore:

m∠5 = 180 - m∠6

m∠5 = 180 - 97

m∠5 = 83°

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Answer:83 degrees

Step-by-step explanation:topG

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

[tex]\frac{5y}{5} = \frac{11}{5}[/tex]

And we get 2.2

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I hope this helps!

Have a great day!

Answer: B -4

Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.

The smallest integer among the options provided is option A, which is -84.

In the context of integers, smaller values are considered to be "less" than larger values.

In this case, we can compare the given integers to determine the smallest one.

Comparing the options:

A. -84

B. -4

C. 34

D. 24

Out of these options, -84 is the smallest integer because it has the lowest numerical value.

The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.

Therefore, based on numerical value, -84 is the smallest integer among the options given.

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Answer:

3rd answer

Step-by-step explanation:

Pay attention to the arcs,  minor arcs are less than 180 degrees

The mean is 20.7

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Class     Frequency{f}      Midpoint of frequency{x}                fx    

1-7                    13                              4                                             72

8-10                  14                             9                                              126

11-15                  18                            13                                            234

16-20                6                           18                                              108

21-35                 13                           28                                           364

36-50                19                            43                                          817

Sum                   83                                                                          1721

So,

Mean = 1721/83 = 20.7

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The slopes of perpendicular lines are negative reciprocals is proved.

An equation of a straight line is given by

y = mx +c

It is given that

Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.

Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula

[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]

The product of these slopes is -1 .

This product shows that the slopes are negative reciprocals

Therefore , The slopes of perpendicular lines are negative reciprocals is proved,

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Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

From the given expression, the equivalent expression would be 64/25.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Given;

16÷(2+1/2)²

16÷(5/2)²

16÷(25/4)

16 x (4/25)

= 64 / 25

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As per the attached picture Option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know the dependent events are dependent on what happened before.

Let A and B be dependent events:

Event B will be dependent on the Event A

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

Thus, option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.

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Answer:

  68 coins

Step-by-step explanation:

We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.

__

Since there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...

  n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves

The value of the coins is ...

  0.05n +0.10n +0.25n +0.50n = 15.30

The second equation lets us find the value of n:

  0.90n = 15.30

  n = 17 . . . . . . . . divide by 0.90

Then the number of coins in all is ...

  4n = N

 4(17) = N = 68

Carmela had 68 coins in all.

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..

(-∞,∞)

Set-Builder Notation:

{x|x∈ℝ}

The range is the set of all valid yy values. Use the graph to find the range…

Interval Notation:

(-∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range…

Domain: (−∞,∞),{x|x∈R}

Range:   (−∞,∞),{y|y∈R}

Answer:

{ 5, 8, 11 }

Step-by-step explanation:

the range is the corresponding values of f(x) for the values of x in the domain.

substitute the x- values from the domain into f(x)

f(1) = 3(1) + 2 = 3 + 2 = 5

f(2) = 3(2) + 2 = 6 + 2 = 8

f(3) = 3(3) + 2 = 9 + 2 = 11

range is { 5, 8, 11 }

The probability that the selected customer purchased a Brand 1 model is 0.14.

Given that probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. and 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty.

The probability that a customer would purchase Brand 1 model TV P(A)=0.70.

The probability that a customer purchases the extended warranty given that the customer purchased the Brand 1 model TV is

P(B|A)=0.20

P(A and B)÷P(A)=0.20

P(A and B)÷0.70=0.20

P(A and B)=0.14

Hence, the probability that the selected customer purchases a Brand 1 model and an extended warranty is 0.14.

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The question is incomplete. Below you will find the missing content.

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

The correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

A matrix is in row echelon form when the first non-zero number from the left i.e. leading coefficient is always to right of the first non-zero number in the row above and rows consisting of all zeros are at bottom of the matrix.

The row echelon form of the matrix is given in the question.

from row-echelon form of the matrix, we can write the equation as,

x-5z=-3

y-4z=-5

Let's assume z=t, where t is the real number

now we can find x and y by putting z=t in the equation

x-5t=-3

⇒x=-3+5t

y-4t=-5

y=-5+4t

Now we get the solution of x,y,z in terms of t

x=5t-3

y=4t-5

z=t

where t is the real number.

So the correct option will be Option C: x=5t-3

y=4t-5

z=t

where t is the real number.

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A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

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Answer:

result is 20%

Step-by-step explanation:

initially B was 100%

therefore 100% - 40%

=60% remaining

60% - 40%

= 20%

Answer:

The answer is 0.36b

Step-by-step explanation:

b-0.4xb=b-0.4b=0.6b

0.6b-0.4(0.6b)=0.6b-0.24=0.36b

Answer:

10 is the answer. hj is 10

It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴

From the graph, a and b be real numbers where a = b = 0. In this case, zero is not a root of the polynomial function

When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.

Thus, the correct option B. i.e. f(x)=(x-a)²(x-b)⁴

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Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi

Answer:

vertex = (9, 2 )

Step-by-step explanation:

given the absolute value function

f(x) = a |x - h | + k

with vertex = (h, k )

then

f(x) = | x - 9 | + 2

has vertex = (9, 2 )

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

[tex]\boldsymbol{Answer:}[/tex] 10 and -8 ✅

[tex]\boldsymbol{Step-by-step\;explanation:}[/tex]

Hii, do you need to know the co-efficients in the expression [tex]"\boldsymbol{2+6+10b-8a}"[/tex]? No problem! (:

A "co-efficient" is a number that comes before a variable.

Here there are only two such numbers: "10" and "-8"; 10 comes before b, and -8 comes before a. 2 and 6 don't come before any variables at all, so they are not co-efficients.

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

[tex]\bigstar\underbrace[/tex]

--

Answer:

A , B , D

Step-by-step explanation:

Answer:

swap x and y

Step-by-step explanation:

You can find an inverse function by replacing "x" and "y"

for example:

y = mx + b

becomes

x = my + b

if your equation is:

f(x) = 3(x²) - 3

{remember, f(x) means the same thing as y}

y = 3(x²) - 3

inverse:

x = 3(y²) - 3

this is it, hope this is helpful!!

Answer:

make every (x) a (y)

70 packages can be filled from a jar that contains 7/8pounds of the leaves

Fractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;

1/80pounds = 1 package

To determine the total package for 7/8 pounds of leaves

7/8 pounds = x

Take the ratios

1/80 * 8/7 = 1/x

8/560 = 1/x

x = 560/8

x = 70

70 packages can be filled from a jar that contains 7/8pounds of the leaves

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The value of y for the given equation at x=81 is 87.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given equation;

       y = x + 6

     Put x = 81, we get

       y = 81 + 6

      y = 87

Thus, the value of y for the given equation at x=81 is 87.

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Answer:

your question is

z²+1+y where, y=4,z=3

3²+1+4

9+5

14

is your answer