During halftime of a soccer ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The​ T-shirt is caught 43 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?
The​ T-shirt takes nothing ​second(s) to reach its maximum height.
​(Type an integer or a​ decimal.)
The​ T-shirt's maximum height is nothing feet above the field.
​(Type an integer or a​ decimal.)
What is the range of the​ function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

Answer:

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Step-by-step e.xplanati:kljkjk

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Answer:

2.5hrs

Step-by-step explanation:

Answer:

≈ $9164.35

Step-by-step explanation:

The future amount A is calculated as

A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3

A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]

   = 15000 ([tex](1.01333)^{36}[/tex]

   ≈ 24164.35

Interest paid = $24164.35 - $15000 = $9164.35

Answer:

The future amount A is calculated as

A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

x=4, y=5

Step-by-step explanation:

Download photo math and take a picture of it

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Answer:

X > 32

Step-by-step explanation:

Brainliest?

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

Answer:

39 I believe. The question is a little confusing.

Step-by-step explanation:

49-10=h 39=h

Not sure if this is what you want the question is worded weirdly.

Step-by-step explanation:

there are actually no restrictions. even with a negative x, squaring it makes for a positive result.

Answer:

Ihe answer is 845 times

Step-by-step explanation:

Answer:

One third or 1/3

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Answer:

-2.03, 2.03

Step-by-step explanation:

The degree of freedom (df) ;

Df total for the two samples = 35

Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.

(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025

Using a T critical value calculator or t table distribution ;

Tcritical, 0.025, df = 35 = 2.03

Left tail = - 2.03

Right = 2.03

Hence, critical cutoff :

(-2.03 ; 2.03)

Answer:

3

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

Answer:

:::::::::

C. 6:7 = 18:21

answer: it is C

Step-by-step explanation:

6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.

hope it helps :)