A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is –16 ft/s2.

Answers

Answer 1

Answer: Hello,

g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32

h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0

==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s

25=-16*1.25²+v*1.25
==>v=50/1.25=40

Equation h=-16t²+40*t

Answer 2

Answer:

The equation models the height of the ball correctly will be h = -16t² + 40t.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A soccer ball is kicked into the air from the ground.

g = 9.81m/s²

g = 9.81/0.3048

g =32.18.. ft/s² rounded to 32

h = -g/2t² + vt + h0

if t = 0,h = 0

h = -16t² + vt

50 ft in 2.5s

25 ft in 1.25s

25 = -16 x 1.25² + v x 1.25

v = 50/1.25

v =40

The equation models the height of the ball correctly will be h = -16t² + 40t.

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Darnell’s house was valued at $134,670 and it appreciated 3 percent per year. What is its value after 2 year? Round to the nearest dollar. A: $8,201 B:$142,871 C:$126,939 D:$277,541

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Given: Value of House, P = $ 134,670

Rate of depreciation, R = 3% per year

Time, T = 2 years ⇒ n = 2

To find: value of house after 2 year that is A.

We know that

$A=P(1-(R)/(100))^n$

$A=134670(1+(3)/(100))^2$

$A=134670*1.0609$

A = 142871.403

A = $ 142871

Therefore, Option B is correct.

134,670×(1+0.03)^(2)=142,871

To solve 5y - 2 - 3y=8, can you start by adding 2 each side? Justify your reasoning.

Answers

Yes, you can start by adding 2 to each side, it doesn't made a difference if you combine 5y and -3y first or not. Either way, you still get y= 5 both ways you do it.

yes , you can add the 2 to both sides. you are combining like terms. it would be easier if you start off by doing 5y - 3y = 2y so the new problem would ne 2y-2=8 then add the 2 so 2y=10 so y = 5.

After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is _____.$x
$x + 2
$x - 2
$2x

Answers

The expression that would be best fit on the given statement would be 2x. This is because the question says that when John reached 10 years his salary will be doubled. Meaning the x salary will be times to 2, or simply 2x.

I think its $2x because if a variable is beside a number, it means you multiply.

Candice is traveling to Paris, where they measure distance in Kilometers and not miles . The taxi driver tells her that the distance from the airport to the hotel is 3,000 meters . How many kilometers is this ?

Answers

Therefore , the solution of the given problem of unitary comes out to be 3 kilometres from the airport to the motel.

What is an unitary method?

By combining the information obtained using this variable technique with all supplementary data from two individuals who used a specific tactic, the job can be completed. This mean that, if indeed the desired outcome materialises, either the stated person will be recognized or, in actuality, the colour by both huge processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.

Here,

Since there are 1,000 metres in a kilometre, we must split by 1,000 to convert metres to kilometres.

Thus, we can split by

=> 1,000 to convert 3,000 metres to kilometres:

=> 3 kilometres = 3,000 metres / 1,000.

Consequently, it is 3 kilometres from the airport to the motel.

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A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylinder?a. 37,680 mm3
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