which expression represents the volume of the prism

Which Expression Represents The Volume Of The Prism

Answers

Answer 1

Answer:

Volume = (1/2)[tex]x^{3}[/tex]           [(1/2)x^3]

Step-by-step explanation:

The volume of a right rectangular prism is given by:

Volume = (length)*(width)*(height)

Volume = (x)*(x)*((1/2)x)

Volume = (1/2)[tex]x^{3}[/tex]


Related Questions

Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .​

Answers

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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Expressions - Part 1
16÷(2+1/2)² ?

Answers

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

What are equivalent expressions?

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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Solve the equation.
4.5=0.5n

Answers

Divide by 0.5 on both sides
4.5 divided by 0.5 = 9
Have a nice day

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
1 0 -1 -3
0 1 5
00 1
a.
X=-3
y--9
z-1
b. x-2
y=-9
N
I
T
C. X=-2
y--9
2-1
d. x-3
y=-9
2-1

Answers

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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Which is true of dependent events?

a.) the probability of all dependent events can be calculated using the or formula

b.) you can use a two-way frequency table to calculate the conditional probability of events that are dependent.

c.) the outcome of one event has no effect on the outcome of a second event.

d.) you can find the and probability of dependent events using the formula

branliest to correct answer please no guessing

Answers

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.

What is probability?

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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Determine the missing information in the paragraph proof.

Given: 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).

Prove: The slopes of perpendicular lines are negative reciprocals.

On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Mark this and return

Answers

The slopes of perpendicular lines are negative reciprocals is proved.

What is Equation of a Straight Line ?

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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Need help urgently please

Answers

1/2x+6(x+15)=12
1/2x+6x+90=12
6.5x+90=12
6 1/2x= -78
x= -12

y= -12+15
y=3
nah as smalala she hiss amal and skids is sus sike

B is decreased by 40% and decreased again by 40%. What is the result?

10 pts for anyone who helps!

Answers

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

For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8

Answers

Answer:

B) 3

Step-by-step explanation:

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

)In the figure below, lines m and n are parallel:

Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.

In the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

83 degrees
90 degrees
97 degrees
180 degrees

Answers

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

What is the Linear Pair Theorem?

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

An electronics store researched the TV sales in the last 6 months. The probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. Furthermore, 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty. A customer is randomly selected from among all those who bought a TV from the store. What is the probability that the selected customer purchased a Brand 1 model and an extended warranty

Answers

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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What is the vertex of the function f(x)=|x-9|+2

Answers

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 )

Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins did she have in all

Answers

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.

__

setup

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

solution

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.

1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.

Answers

Answer:

A , B , D

Step-by-step explanation:

Find the range of f(x) = 3x + 2 for the domain = {1, 2, 3}.

Answers

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 }

If area of a circle is 49/64 pie cm square,then find the circumference of the circle?​

Answers

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

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

Answers

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.

A symmetric distribution occurs when the mean, median, and mode all occur at the same location and the values of the variables occur at regular intervals.The few low scores in a negatively skewed distribution tend to push the mean to the left, thus the mean is typically lower than the median.The mode is consistently less than the mean and median in a positively skewed distribution.A continuous probability distribution having two distinct modes, that is, two separate values with the highest and equal frequencies is referred to as a bimodal distribution.

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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What are coefficients in the expression 2+6+10b-8a

Answers

[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! (:

What are Co-efficients?

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]

--

HJ=
help me please thannk u :)​

Answers

Answer:

10 is the answer. hj is 10

1. SPORTS Hector wants to buy a new football. He initially thought it would cost $36, but when he went to the sporting goods store it was discounted 20%. What is the sale price of the football? 1. SPORTS Hector wants to buy a new football . He initially thought it would cost $ 36 , but when he went to the sporting goods store it was discounted 20 % . What is the sale price of the football ?

Answers

Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

Which term describes the red curve in the figure below?

Answers

circle. the red figure has the shape of a circle.

Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.

Answers

Answer:

your question is

z²+1+y where, y=4,z=3

3²+1+4

9+5

14

is your answer

Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places.

Answers

The mean is 20.7

What is Mean?

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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Let a and b be real numbers where a . Which of the following functions could represent the graph below?


f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)

Answers

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

How to solve the graph?

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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Determine the value of y, if x is 81.
Y=/x+6

Answers

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

What is Equation?

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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Who wants to solve a question

Answers

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

Ratio and proportions

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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5y + 3= 14

pleaseeeee help ​

Answers

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:

Subtraction Property of EqualityDivision Property of Equality


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

Please mark brainliest!

I hope this helps!

Have a great day!

How do you find inverse functions?

will give brainliest to first helpful response

Answers

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)

What are the minor arcs of O?

Answers

Answer:

3rd answer

Step-by-step explanation:

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

Which of the following objects is considered to be one-dimensional because it ha length but no width or height?
A. Line segment
B. Point
C. Triangle
D.Cube

Answers

A line is a one-dimensional ger
straight -undefined figure whicl
thickness or depth. It extends
both directions.
A line segment is a part of a lin
points on both the sides.
It has only length therefore, it i:
dimensional.
Best possible solution would be

A. Line segment
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