Which of the following statements about rotations are true? Select all that apply.

a. The shape of the figure does not change.

b. The position of the figure does not change.

c. The size of the figure does not change.

d. The orientation of the figure does not change.

e. The coordinates of the figure do not change.

Answer:

C.

Step-by-step explanation:

We need to apply Mean Value theorem here.

We just need to calculate the average rate of change for each interval.

A) x=0 to x=4

We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.

(8-0)/(0-4)

8/-4

-2

Not this choice

B) x=4 to x=8

We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.

(2-0)/(8-4)

2/4

1/2

Not this choice

C) x=8 to x=12

We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.

(10-2)/(12-8)

8/4

2

This one works.

D) x=12 to x=16

We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.

(1-10)/(16-12)

-9/4

The table is an illustration of mean value theorem

[tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)

If a function is differentiable, then:

[tex]\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}[/tex]

(a) (0,4)

This gives

[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{0 - 8}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{- 8}{4}}[/tex]

[tex]\mathbf{f'(c) =-2}[/tex]

(b) (4,8)

This gives

[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{2-0}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{2}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{1}{2}}[/tex]

(c) (8,12)

This gives

[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}[/tex]

[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}[/tex]

From the table, we have:

[tex]\mathbf{f'(c) =\frac{10-2}{4}}[/tex]

[tex]\mathbf{f'(c) =\frac{8}{4}}[/tex]

[tex]\mathbf{f'(c) =2}[/tex]

Hence, [tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)

Read more about mean value theorems at:

https://brainly.com/question/3957181

Answer:

t=0 or t=-1/2

Step-by-step explanation:

Solve for t over the real numbers:

t (2 t + 1) = 0

Split into two equations:

t = 0 or 2 t + 1 = 0

Subtract 1 from both sides:

t = 0 or 2 t = -1

Divide both sides by 2:

Answer: |

| t = 0 or t = -1/2

Answer:

A possible number line is shown below.

Step-by-step explanation:

I-----------------I----------------I

0                  1/3                1

Answer:

Step-by-step explanation:

Answer:

radius [r]=4000mi

circumference [C]=2πr=2×π×4000mi=25132.74mi

so,it travels 25132.74mi in one complete orbit.

Step-by-step explanation:

Area of rectangle is Length × Breadth

We need to multiply these 3 terms.

[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]

Use distributive property

= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²

Hope it helps :)

Answer:

- 23/36

Step-by-step explanation:

Make sure both fractions of the denominators are the same.

1 x 4 = 4

9 x 4 = 36

3 x 9 = 27

4 x 9 = 36

Final: 4/36 - 27/36 = - 23/36

Answer:

Thanks you pleasentful waffle

Step-by-step explanation:

Answer:0.0064516129

Step-by-step explanation:

Answer:

the monthly payment is $636.02

Step-by-step explanation:

The computation of the monthly amount deposited i.e. PMT is given below:

GIven that

NPER = 15 × 12 months = 180

RATE = 5% ÷ 12 = 0.4167%

PV = $0

FV = $170,000

based on the above information

The formula is shown below:

= PMT(RATE;NPER;PV;FV;TYPE)

AFter applying the above formula, the monthly payment is $636.02

Step-by-step explanation:

1. f(x) = 12x + 1

f(-2) = 12(-2) + 1 = -23

f(0) = 12(0) + 1 = 1

f(3) = 12(3) + 1 = 37

2. p(x) = -8x - 2

p(-2) = -8(-2) - 2 = 14

p(0) = -8(0) - 2 = -2

p(3) = -8(3) - 2 = -26

3. m(x) = -6.5x

m(-2) = -6.5(-2) = 13

m(0) = -6.5(0) = 0

m(3) = -6.5(3) = -19.5

4. s(x) = ⅖x + 3

s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5

s(0) = ⅖(0) + 3 = 3

s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5

5. h(x) = ¾x - 6

h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4

h(0) = ¾(0) - 6 = -6

h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4

Answer:

d= 7w, if you are looking for a slope intercept form

Answer:

8

Step-by-step explanation:

15+25+70+50x = 360 ( total exterior angles = 360° )

50x = 360-15-25-70

= 250

x= 5

n = 5 + 3

= 8

Answer:

C. 140, 40

Step-by-step explanation:

Supplementary angles are two angles that add up to a sum of 180°.

140+40 = 180

Answer:11:58 duh

Step-by-step explanation I can count

Answer:

SYDNEY FINISH CLEANING HER ROOM AT 11:58 a.m.

7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3)

9514 1404 393

Answer:

  $102

Step-by-step explanation:

Dan paid $18 more than $84:

  18 + 84 = 102

Dan paid $102 for his snowboard.

Answer:a

Step-by-step explanation:

Answer:

A. 10 is less than or equal to 1.75+0.65m

B. D

Step-by-step explanation:

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

Answer:

110 degrees

Step-by-step explanation:

Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6

Answer:ptsStep-by-step explanation:

Answer:

8

Step-by-step explanation:

Use the right triangle altitude theorem. The three triangles are right triangles and are similar.

MP/FP = FP/EP

MP/12 = 12/(EM + MP)

MP/12 = 12/(10 + MP)

MP(10 + MP) = 144

MP^2 + 10MP - 144 = 0

(MP + 18)(MP - 8) = 0

MP = -18  or  MP = 8

Since a side length cannot be negative, the answer is MP = 8

Answer: 8

Answer:

The  95% confidence interval of the mean is

(17.8658, 20.5342)

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 15.9

Given that the size of the sample 'n' =12

Mean of the sample   x⁻ = 19.2

Given that the variance of the sample = 4.41

The standard deviation of the sample (S) = 2.1

Step(ii):-

Degrees of freedom = n-1

ν = n-1 = 12-1=11

t₀.₀₅ =  2.2010

The  95% confidence interval is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]

[tex](19.2 - 2.2010 \frac{2.1}{\sqrt{12} } , 19.2 + 2.2010 \frac{2.1}{\sqrt{12} } )[/tex]

(19.2 - 1.3342 , 19.2+1.3342)

(17.8658 , 20.5342)

Final answer:-

The  95% confidence interval of mean is

(17.8658 , 20.5342)

Answer:

1.43 Metres

Step-by-step explanation:

Since 1 Metre is equal to 100 centimetres, and 65 + 78 is 143 centimetres, to convert it to METRES we need to divide 143 by a hundred, making the output become 1.43 METRES.

The sum of the lengths of the shelves are 143 cm.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, One shelf is 65cm long. Another shelf is 78cm long.

Therefore, The sum of the lengths of the two trucks would be the sum of the individual lengths of the shelf which is,

= (65 + 78) cm.

= 143 cm.

learn more about arithmetic operations here :

https://brainly.com/question/25834626

#SPJ2

Answer: 6x+y

Step-by-step explanation:

Answer:

6x + y

Step-by-step explanation:

11x + 3y - 5x - 2y

→ Simplify the x terms

6x + 3y - 2y

→ Simplify the y terms

6x + y

Answer:

I think that the equation would be Y= -2X^2-4X-4 .

Step-by-step explanation:

Hope it wad helpful :)

Answer:

I believe that $0.97 would be right

Step-by-step explanation:

10.25 - 1.52 = 8.73, divide 8.73 by 9 to get 0.97