The graph shows the relationship between the volume of rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
O-3
O-1/3
O1/3
O 3

Answer:

C     f(x) = 0.5(2x)

Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.

f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

A relation is a function if it has only One y-value for each x-value.

An exponential function with a growth factor of 1/2 would have 1.5^x as part of it

y=a(1+0.5)ˣ is the general term of the exponential function.

In the given functions

f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).

Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

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Answer:

6 units

Step-by-step explanation:

Since the x coordinate is the same, we only have to look at the difference of the y coordinates

2 - -4

2+4

6

The distance is 6 units

Answer:

the answer is 6 units

Step-by-step explanation:

Answer:

-3x

Step-by-step explanation:

The term that goes in the box is

x * -3

-3x

please see the attached picture for full solution

hope it helps

good luck on your assignment..

Answer:

See explanation, and comment for more details!

Step-by-step explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b. [tex]x=\sqrt{2}, y=\sqrt{2}, z=2[/tex]

c.[tex]x= \sqrt{3}, y=2, z=\sqrt{7}[/tex]

Hope this helps!

Answer:

The answer is A

Answer:

A

Step-by-step explanation:

The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.

Answer:

[tex]=2u^2-7uw-30w^2-4u-10w[/tex]

Step-by-step explanation:

[tex]\left(u-6w-2\right)\left(2u+5w\right)\\Distribute\:parentheses\\=u\cdot \:2u+u\cdot \:5w+\left(-6w\right)\cdot \:2u+\left(-6w\right)\cdot \:5w+\left(-2\right)\cdot \:2u+\left(-2\right)\cdot \:5w\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w\\\mathrm{Simplify}\:2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w:\quad 2u^2-7uw-30w^2-4u-10w\\=2u^2-7uw-30w^2-4u-10w[/tex]

Answer:

7p-3

Step-by-step explanation:

We are given the expression:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.

(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3

(25p -18p) -3

7p-3

Steps:

Group like terms:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3

Add similar elements:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p

=7p−3

Answer: =7p−3

Please mark brainliest

Hope this helps.

Answer:

k =3

Step-by-step explanation:

-3k-2k+12 = 2k-9

-5k+12 = 2k -9

Add 5k to each side

-5k+5k+12 = 2k+5k-9

12 = 7k-9

Add 9 to each side

12 +9 = 7k-9+9

21 = 7k

Divide each side by 7

21/7 = 7k/7

3 =k

[tex]answer = 3 \\ solution \\ - 3k - 2k + 12 = 2k - 9 \\ or, \: - 3k - 2k - 2k = - 12 - 9 \\ or, \: - 5k - 2k = - 21 \\ or, \: - 7k = - 21 \\ or, \: k = \frac{ - 21}{ - 7} \\ k = 3 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

The width is x+4

Step-by-step explanation:

A = l*w

x^2+11x+28  = (x+7) *w

Factor the left side

(x+7)(x+4) =  (x+7) *w

Divide each side by (x+7)

x+4 = w

The width is x+4

Answer:

x+4

Step-by-step explanation:

x^2+11x+28

x²+7x+4x+28

x(x+7)+4(x+7)

(x+7) (x+4)

area =l * w

l=(x+7)

hence, (x+4) is de width

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75

Answer:

last one

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation:

Answer: The angles are 135° and 45°.

Step-by-step explanation:

In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.

If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.

If the angles are A1 and A2 we have:

A1 + A2 = 180°

and,  we also know that A1 = 3*A2, we can replace it in the previous equation and get:

3*A2 + A2 = 180°

4*A2 = 180°

A2 = 180°/4 = 45°

then A1 = 3*45° = 135°

The angles are 135° and 45°.

Answer:

6

Step-by-step explanation:

3x2

Answer:

x = 12.52°

Step-by-step explanation:

The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

Answer:

The answer is x = 12.84°

Step-by-step explanation: I took the test

Answer:

The parking lot does not form a rectangle.

Step-by-step explanation:

Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.

The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.

To find: If the distances given form a right triangle?

Also, to find the hypotenuse and the numbers which represent the two sides.

Solution:

In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a  right angled triangle.

[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]

So, the triangle is not a right angled triangle.

So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].

Hence, the parking lot is not a rectangle although the opposite sides are equal.

(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )

The distances given do not form a right triangle.

Answer: 55%

Step-by-step explanation:

2475/5500 = .45

He sold it for 45% of the price, so it went down by 55%

Answer:

Since the y-intercept is 400 and the y value fourths for every increase of 2 in x, the equation is y = 400 * (0.5)^x.

Answer:

All true

Step-by-step explanation:

By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

Answer:

The item that would be represented by the independent variable in this situation is:

Step-by-step explanation:

To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.

Answer:

B

Step-by-step explanation:

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS  ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

Answer: it would be 1.25 since 1/4 is a fraction

1st 1/4 x 5/1

2nd 1+4 =5  keep the denominator

so the final product would be 5/4 or 1.25

Solution of expression 1/4 × 5 is 1.25

Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.

Given expression

1/4 × 5

= 5/4

= 1.25

Hence, 1.25 is solution of given expression.

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