What is the missing side length?

Answer:

13

Step-by-step explanation:

The velocity is given by:

[tex]\displaystyle v(t)= -2t + 8[/tex]

And the total distance given the velocity is given by:

[tex]\displaystyle \int_{a}^{b}|v(t)|\, dt[/tex]

So, the total distance traveled by the particle from t = 1 to t = 6 will be:

[tex]\displaystyle d=\int_{1}^{6}|-2t+8|\, dt[/tex]

The absolute value tells us that:

[tex]\displaystyle |-2t+8| = \left\{ \begin{array}{ll} -2t+8 & \quad x \leq 4 \\ -(-2t+8) & \quad x > 4\\ \end{array} \right[/tex]

So, split the integral into two parts:

[tex]\displaystyle d=\int_{1}^{4} (-2t+8)\, dt+\int_{4}^{6}(-(-2t+8))\, dt[/tex]

Integrate:

[tex]\displaystyle d=(-t^2+8t)\Big|_{1}^{4}+(t^2-8t)\Big|_{4}^{6}[/tex]

Evaluate:

[tex]\begin{aligned} d&=[(-4^2+8(4))-(-1^2+8)]+[(6^2-8(6))-(4^2-8(4)]\\ &= [16-7]+[-12-(-16)]\\ &=9+4 \\ &=13 \end{aligned}[/tex]

Answer:

B.

Step-by-step explanation:

[tex] \sqrt{65} [/tex]

is about 8 and it passes the sum test

for a, the sum of 2,15 must be greater than 17 and its equal to so no

Answer:

I think x is 34.75.

Step-by-step explanation:

Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.

(4x-20)+61=180

4x+41=180

subtract 41 from both sides

4x=139

x=34.75

Answer:

The width of the walkway is of 12.86 feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

A = lw

A rectangular garden has a width of 10 feet and a length of 14 feet.

So the area of the rectangular garden is of 10*14 = 140 square feet.

The area of the garden and the walkway together are 320 square feet.

So the area of the walkaway is of 320 - 140 = 180 square feet.

What is the width of the walkway

It has the same length of the garden, of 14. So

[tex]14w = 180[/tex]

[tex]w = \frac{180}{14}[/tex]

[tex]w = 12.86[/tex]

The width of the walkway is of 12.86 feet.

Answer:

D

Step-by-step explanation:

just took that test

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

Number of nickels 120, number of dimes 60 and total number of coins 180.

Given that, Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

N = D + 43 ..........(1)

D' = D - 17 ..........(2)

N = 2×D' = 2×(D - 17) ..........(3)

Set equations (1) and (3) equal to each other and solve for D:

D + 43 = 2×(D - 17)

D + 43 = 2D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins

Therefore, number of nickels 120, number of dimes 60 and total number of coins 180.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]

Multiply both sides by sin(18)

[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]

[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]

c = 14.9 cm (nearest tenth)

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

Answer:

2/100

Step-by-step explanation:

a thousandth basically

Answer:

2 over 1000

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 squared is 100

Answer:

540 megabytes

Step-by-step explanation:

We will first need to find out how much space a singular song will take up. We will do this by the storage taken up (884) by the number of songs she has:

884 / 221 = 4 mb taken up per song

Then we want to find out how many megabytes 135 of these songs take up, so we will multiply the mb taken up per song (4) by the number of songs we want to find (135):

4 x 135 = 540 megabytes

Edit: made a mistake in my original answer, apologies!

Answer:

see explanation

Step-by-step explanation:

(1)

Using the relationship

distance (d) = speed (s) × time (t)

The freight train leaves the station 1 hour earlier than the passenger train, so

d = 40(t + 1) ← Freight train

d = 50t ← Passenger train

We require to find when they are at the same distance from the station, then equating the 2 equations

50t = 40(t + 1) ← distribute

50t = 40t + 40 ( subtract 40t from both sides )

10t = 40 ( divide both sides by 10 )

t = 4

The passenger train will overtake the freight train after 4 hours

-------------------------------------------------------------------------------------

(2)

let l represent length, then width = l - 32

perimeter (P) = 2l + 2w = 290, that is

2l + 2(l - 32) = 290 ← distribute and simplify left side

2l + 2l - 64 = 290

4l - 64 = 290 ( add 64 to both sides )

4l = 354 ( divide both sides by 4 )

l = 88.5 and w = 88.5 - 32 = 56.5

Then dimensions are 88.5 yards by 56.5 yards

----------------------------------------------------------------------------------

(3)

Plan A : 100 + 15n

Plan B : 25n

When is Plan A better than Plan B , that is

100 + 15n > 25n ( subtract 25n from both sides )

100 - 10n > 0 ( subtract 100 from both sides )

- 10n > - 100

Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.

n < 10

Plan A is better when number of hours (n) is less than 10

Answer:

3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?

Answer:

Step-by-step explanation:

According to the question

The area of the shape=

(11+4)×6 in²

15×6 in²

90in²

Answer: I believe 25 yards.

Step-by-step explanation: Hope it helps! Have a great day!!!

Answer:

Least: [tex]\sqrt[6]{64}[/tex]

2nd least: ([tex]\sqrt{64}[/tex])²

2nd greatest:  [tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex]

Greatest:  1/64^-2

Step-by-step explanation:

[tex]\sqrt[6]{64}[/tex] = 2

([tex]\sqrt{64}[/tex])² = 64

[tex]\sqrt{81}[/tex] · [tex]\sqrt{81}[/tex] = 9 · 9 = 81

1/64^-2 = 4,096

Answer:

it is probably a right triangle

Step-by-step explanation:

right angle because 11 is 7 beside and 5 under

Answer:

i think its a right angle, not sure tho

Step-by-step explanation:

Answer:

one angle can be 50 degrees and the other angle will be 40 degrees

Step-by-step explanation:

complementary is when 2 angles add up to 90 degrees

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

Answer:

option 3 is correct

Step-by-step explanation:

because ....

It has to be Option 3/C

Exlaination: I have done this problem before and got it right.

Answer:

Step-by-step explanation:

Given expression:

Simplify:

Correct choice is D

Answer:

D. 126y²

Step-by-step explanation:

Answer:

it would be 2 right by the question mark

Step-by-step explanation:

so 2 is a number the n is going to be a number and then that leaves the last 2 left

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

Answer:

There are 200 1/8's in 25.

Step-by-step explanation:

If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.

200 1/8. Hope this helps and feel better!

Answer:

The Void

Step-by-step explanation:

no one can help you now

2.4 x 1/3 = 0.8 liters more.

2.4 + 0.8 = 3.2 liters

Stephen drinks 3.2 liters which is 3,200 milliliters