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1 year ago

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An object is launched at 39.2 meters per second (m/s) from a 42.3-meter tall platform. The equation for the object's height s at

time t seconds after launch is s(t) = -4.9t^2 + 39.2t + 42.3 where s is in meters. Create a table of values and graph the function. Approximately when will the object hit the ground?
Explain

1 answer:

vova2212 [387]1 year ago

4 0

Just add the numbers up and see if that works

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What two equivalent fractions for 8/8?

stira [4]

Answer:

2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

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1 year ago

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

2 years ago

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

Neko [114]

The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11

<h3>How to solve the function values?</h3>

As a general rule, we have:

f⁻¹(f(x)) = x

Substitute 58 for x

So, we have:

f⁻¹(f(58)) = 58

Hence, the value of f⁻¹(f(58)) is 58

Also, we have:

f(f(5))

From the table, we have:

f(5) = 9

So, we have:

f(f(5)) = f(9)

From the table, we have:

f(9) = 11

So, we have:

f(f(5)) = 11

Hence, the value of the function f(f(5)) is 11

Read more about invertible function at:

brainly.com/question/14391067

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7 0

1 year ago

A store decreases the price of an item from 120 to 90. what is the percent decrease

vampirchik [111]

There is a 25% decrease because the decrease is 30, which is 25% of 120.

8 0

2 years ago

Need help with a math question

Margaret [11]

Answer:

90 sq inches

Step-by-step explanation:

The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.

We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.

We know how to calculate the area of a triangle: A = (b * h)/2

In this case, b = 5 in, h = 12 in. So,

TA = (5 * 12)/2 = 60 / 2 = 30

Each side triangle has an area of 30 sq inches.

LA = 3 * TA (since there are 3 sides)

LA = 3 * 30 = 90 sq inches

8 0

2 years ago