A car at rest accelerates at a constant rate. After 5 seconds, the car's velocity is 80 m/s. What is the acceleration rate? Enter the value only (no units).​

Answer:

b

Step-by-step explanation:

the answer when not rounded is 43.

Answer:

$13,325

Step-by-step explanation:

Answer:

[tex]y = 2(x +3)^2 -2[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,-2)[/tex] --- vertex

[tex](x,y) = (-5,6)[/tex] --- point

Required

Determine the equation

The general form is:

[tex]y = a(x - h)^2 + k[/tex]

First, we solve for a:

Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]

[tex]6 = a(-5 - (-3))^2 - 2[/tex]

[tex]6 = a(-2)^2 - 2[/tex]

[tex]6 = 4a - 2[/tex]

Solve for a

[tex]4a = 6 + 2[/tex]

[tex]4a = 8[/tex]

[tex]a = 2[/tex]

So:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - (-3))^2 -2[/tex]

[tex]y = 2(x +3)^2 -2[/tex]

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

Answer:

D

Step-by-step explanation:

the figure is in the origin therefore no reflection will affect the shape

Answer:

[tex] A=(8 \pi +40) cm^2 [/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

Step-by-step explanation:

For semicircle:

Diameter = 8 cm

Radius (r) = 8/2 = 4 cm

For triangle:

Base (b) = 8 cm

Height (h) = 10 cm

Area of the shaded region

[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]

[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]

[tex] A=(8 \pi +40) cm^2 [/tex]

By Pythagoras Theorem:

[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]

[tex] AC = BC = \sqrt {16 +100}[/tex]

[tex] AC = BC = \sqrt {116}[/tex]

[tex] AC = BC =2\sqrt {29}[/tex]

[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]

[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

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Answer:

Step-by-step explanation:

The n-th term of arithmetic sequence:  [tex]a_n = a_1+d(n-1)[/tex]

a₁ = -30

a₂ = -41

a₃ = -52

-41 - (-30) = -11  and -52 - (-41) = -11

It means d = -11

Therefore:

              [tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]

Answer:

A

Step-by-step explanation:

Because the lengths are way off for A.

2cm, 8cm, 8cm

Answer:

k = 0.5

Step-by-step explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k

Answer:

x = 26.5

y = 12.0

z = 13.4

Step-by-step explanation:

✔️To find x, apply the leg rule, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 30

Leg = x

Part = 30 - 6 = 24

Plug in the values into the equation

30/x = x/24

Cross multiply

x² = 30*24

x² = 720

x = √720

x = 26.5 (nearest tenth)

✔️Apply the triangle altitude theorem to find y:

Based on the theorem, h = √(ab)

Where,

a = 6

b = 30 - 6 = 24

h = y

Plug in the values

y = √(6*24)

y = √144

y = 12

✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:

Hypotenuse = 30

Leg = z

Part = 6

Plug in the values into the equation

30/z = z/6

Cross multiply

z² = 30*6

z² = 180

z = √180

z = 13.4 (nearest tenth)

Answer:

13

Step-by-step explanation:

11+x=y

yx8=z

z/2=96

96x2=192

192/8=24

24-11=13

x=13

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

Answer:

170.67 cm^3

Step-by-step explanation:

The volume is given by ...

 V = 1/3s²h

We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...

 V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³

Answer:

170.67 cm^3

Step-by-step explanation:

took the test

Answer:

The first answer is 31.5.

The second is 21.

Step-by-step explanation:

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

Using improper fractions, it is found that she carried 0.583 pounds more with her left hand than with her right hand.

The conversion is made according to the following formula:

[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]

In her right-hand, the amount she carried is given by:

[tex]2\frac{1}{6} + 1\frac{2}{3} = \frac{13}{6} + \frac{5}{3} = \frac{13}{6} + \frac{10}{6} = \frac{23}{6}[/tex]

In her left-hand, the amount was of:

[tex]4\frac{5}[12} = \frac{53}{12}[/tex]

The difference is of:

[tex]\frac{53}{12} - \frac{23}{6} = \frac{53}{12} - \frac{46}{12} = \frac{7}{12} = 0.583[/tex]

She carried 0.583 pounds more with her left hand than with her right hand.

More can be learned about improper fractions at https://brainly.com/question/26455668

Answer:

7/1; 4/2=2;8/1

7 is rational number because 7/1 = 7

8 = 4 x 2 = 4/1 x 2/1 and both rational.

Step-by-step explanation:

Multiply by any number/ same with both

7/1×6=42/6

8/1×6=48/6

So,

43/6,44/6,45/6 Answer

hope it helps

Answer: it’s D

Step-by-step explanation:

The domain and the range of an exponential parent function mean that the domain is all real numbers and the range signifies positive real numbers y > 0.

The simplest parent function of an exponential function takes the form:

[tex]\mathbf{f(x) = p^x}[/tex], where p refers to the base.

So, if we have a number such that x = 3 and the base is 2

Therefore, we can conclude that the domain of an exponential parent function is all real numbers, and the range is positive real numbers (y > 0).

Learn more about exponential functions here;

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Answer:

The first option

Step-by-step explanation:

Have a nice day :)

Answer:

25%

Step-by-step explanation:

Step 1: Add all the possible choices up

8 + 5 + 7 = 20

Step 2: Note that your finding the probability for creme filled ones

Step 3: Make it a fraction

5 creme filles ones out of 20

5/20

Step 4: Simplify

1/4

Step 5: Convert into a decimal (if you don't already know it)

1 ÷ 4 =

.25

Step 6: Multiply by 100 to find percentage

.25 × 100 = 25%

Two bikers are riding a circular path.

The first rider completes a round in 12

minutes. The second rider completes

a round in 18 minutes. If they both

started at the same place and time

and go in the same direction, after

how many minutes will they meet

again at the starting point?

[tex] \huge \mathsf \blue{Given}[/tex]

[tex] \huge \mathsf \blue{To\: Find}[/tex]

After how many minutes will they meet

again at the starting point?

Take the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

Thus, the LCM of 12 and 18 is 36.

Answer:

Find the LCM of 12 & 18 .

12 = 2×2×3

18 = 3×3 ×2

So , LCM of ( 12 , 18 ) = 2×3×2 = 36

Answer:

Solve for  x  in the first equation.

Subtract  8 y  from both sides of the equation.

2 x = 6 − 8 y

5 x + 20 y = 15

Divide each term by  2  and simplify.

Divide each term in  

2 x /2 =  6/2  − 8 y/2  

5 x + 20 y = 15

Cancel the common factor of  2 .

Cancel the common factor.

2 x /2  =  6 /2  + (− 8 y)/ 2

Step-by-step explanation:

I don't have room to put the rest. So go to math-way

Answer:

B

Step-by-step explanation:

add 7 to get away the 7 on the left hand side

square both side to eliminate square root

The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.

In order to solve the given radical, we will go through the following steps,

[tex]\sqrt{x+3}-7=15[/tex]

1.  Add 7 both the sides to eliminate -7 from both the sides,

   [tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]

2. Square both the sides to remove the square root,

   [tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]

Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

Learn more about Radical:

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Answer:

40

Step-by-step explanation:

because 180- 140 = 40

a linear pair means they equal 180

The measure of angle ACD (∠ACD) is 40 degrees.

Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,

We are asked to find the measure of ∠ACD,

So,

If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.

Let's denote the measure of angle ACD as x.

So, we have the equation:

m∠ACD + m∠DCB = 180°

Substituting the given value for m∠DCB:

x + 140° = 180°

To solve for x, we can subtract 140° from both sides of the equation:

x = 180° - 140°

x = 40°

Therefore, the measure of angle ACD (∠ACD) is 40 degrees.

Learn more about linear pair click;

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Answer:

65%

Step-by-step explanation: