Find the volume of the figure shown below.


A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3

Answer:

(a) [tex]f(2) = 81[/tex]

(b) [tex]g(2) = 83[/tex]

(c) Test average for maths class after test 2 is greater

Step-by-step explanation:

Given

[tex]f(x) = 0.5x + 80[/tex]

[tex]x \to g(x)[/tex]

[tex]1 \to 81[/tex]

[tex]2 \to 83[/tex]

[tex]3 \to 85[/tex]

Solving (a): f(2)

We have:

[tex]f(x) = 0.5x + 80[/tex]

[tex]f(2) = 0.5*2+80[/tex]

[tex]f(2) = 1 + 80[/tex]

[tex]f(2) = 81[/tex]

Solving (b): g(2)

From the table:

[tex]g(x) = 83[/tex] when [tex]x = 2[/tex]

So:

[tex]g(2) = 83[/tex]

Solving (c): Which is greater f(2) or g(2)

In (a) and (b),

[tex]f(2) = 81[/tex]

[tex]g(2) = 83[/tex]

Hence, test average for maths class is greater

Answer:

18.189 rows

Step-by-step explanation:

673 / 37 = 18.189189189

Hope this helps!

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

Answer:

y=5

y int

x=0

y=2(0)^2-8(0)+5

y=5

note everything multiplied by 0 is 0

Answer:

lxwxh

Step-by-step explanation:

Length x width x height

Answer:

Step-by-step explanation:

hope this video link be helpfull to you

Step-by-step explanation:

use the simple interest formula

Answer:all three of them achieve the sales target together in 120 days.

Step-by-step explanation:

Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.

Then,  the number of days taken by all of them to achieve the sales target together = [tex]\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}[/tex]

[tex]=\dfrac{1}{120}[/tex]     [LCM(30,40,60)=120]

Thus, all three of them achieve the sales target together in 120 days.

Answer:

8/12 left

Step-by-step explanation:

8/12 of a bag left

2 1/12 = 25/12

1 5/12 = 17/12

25-17 = 8

The answer is 8/12

Answer:

1

Step-by-step explanation:

2 there are 2 and 1 Number before 2 is 1 so it one

Answer:

let total be U and strawberry be S and.apple be A .

now

n[U]=200

n[S]=56% 0f 200=112

n[A]=44%of 200=88

n[A n S]=30%of 200=60

now

[tex] \bar {A U S}=?[/tex]

we have

n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]

[tex] \bar{A U S}[/tex]=200-112-88+60=60

option C. 60 is a required answer.

Hope this help!!!

Have a nice day!!!

Answer:

A

Step-by-step explanation:

More than $0 but less than $2800

The correct option is (A).

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

Given:

Deandra traded $2800 for Swiss francs.

So, she would have More than $0 but less than $2800.

This is because she will not get the same amount back she has only has more than 0 and less than 2800.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

Answer:

a) x = 4

b) x = 8

c) y = -7

d) y = -10

Step-by-step explanation:

Solve by substitution on all

a)

3x + 2y = -5

3x +2 * -17/2 = -5

3x - 17 = -5

3x = -5+17

3x = 12

x = 12/3

x = 4

Answer:

The answer is 46'

Step-by-step explanation:

The first triangle is:85'+53'+Y=180' so y=42'

The second triangle with X is:92+42'+X=180' so X=46'

Answer:

Part A: On average Tablet B's battery will last longer.

Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.

Step-by-step explanation:

Step-by-step explanation:

Formula:

[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]

Answer:

$200 each.

Step-by-step explanation:

You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:

$600/3 persons = $200/person

Each person obtains $200.

~

Answer:

a translation of 2 units to the left and 7 units up

Step-by-step explanation:

Translation of points (x,y)

At point x, the function can be translated to the left or to the right.

(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.

At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.

(x, y) = (x - 2, y + 7)

x - 2: 2 units to the left.

y + 7: 7 units up

So the fouth option is correct.

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

Answer:

18.75 is the answer

Step-by-step explanation:

since the internet usage is more than 4 hrs, the second equation will be used. that is

cost = (10 + 2.50 (x - 4)) where x is the usage hours.

thus

[tex]cost = 10 + (2.5 \times (7.5 - 4)) \\ = 10 + (2.5 \times 3.5) \\ = 10 + 8.75 \\ = 18.75[/tex]

17 cubic units.

The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.

V = |(a x b) · c|

In this case,

a = (1,4,0) = i + 4k + 0j

b = (-2,-5,2) = -2i -5j + 2k

c = (-2,2,1) = -2i + 2j + k

First, let's calculate the cross product of vectors a and b. i.e a x b as follows:

(i) Arrange the vectors in a matrix form

a x b = | i        j         k |

          | 1       4        0 |

          | -2    -5        2 |

(ii) Calculate the determinant of the matrix

a x b = i(8 - 0) -j(2-0) + k(-5+8)

a x b = i(8) -j(2) + k(3)

a x b = 8i - 2j + 3k

Secondly, calculate the scalar product of the cross product found above and the vector c as follows;

(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)

Multiply like terms

(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k)             [i.i = j.j = k.k = 1]

(a x b) . c = (-16) + (-4) + (3)

(a x b) . c = -16 - 4 + 3

(a x b) . c = -17

Thirdly, find the absolute value of the result found above. i.e

|(a x b) . c| = |-17|

|(a x b) . c| = 17

Therefore, the volume of the parallelepiped is 17 cubic units.

Answer:

g + 200 - 2*600 = 1400

g = 2400 pounds

Step-by-step explanation:

g + 200 - 2*600 = 1400

g + 200 - 1200 = 1400

g - 1000 = 1400

g = 2400

Answer:

The person must score at least [tex]X = \mu + Z\sigma[/tex], in which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score, [tex]\mu[/tex] is the mean IQ score for the population and [tex]\sigma[/tex] is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What score must a person have to qualify for Mensa?

Score of at least X, given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]X - \mu = Z\sigma[/tex]

[tex]X = \mu + Z\sigma[/tex]

In which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score.

Answer:

B

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

Answer:

lx-3l

Step-by-step explanation:

negative in the abs means moving to the right

=========================================================

Explanation:

We start with the parent function y = |x|

Shifting it 3 units to the right will make the equation y = |x-3| and that's the equation of the green curve shown.

The x-3 is because each input is 3 units smaller than it used to be. Imagine the xy axis moved 3 units to the left while the V shaped graph stayed fixed in place. It would give the illusion the V shape moved while the xy axis stay fixed.

The graph doesn't shift up or down, so k = 0

The value of 'a' stays the same at a = 1.

Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

[tex]z=4-x^{2} -y^{2}[/tex]

Now,

[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]

Which is circle with center (1/2,0) radius

[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]

Now,

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

Answer:

C. It the correct answer

Answer:

Kindly check table below :

Step-by-step explanation:

Given :

Ages of Best Actors Age %

26-35 30

36-45 35

46-55 25

56-65 4

66-75 3

76-85 3

The class width = difference between the intervals = (35 - 26) = 10

Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5

The class boundaries :

Lower - 0.5 = 26 - 0.5 = 25.5

Upper + 0.5 = 35 + 0.5 = 35.5

Ages _ F ___Class Bound.__ classW__midpoint

26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5

36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5

46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5

56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5

66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5

76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5