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3 years ago

A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which

Mathematics

1 answer:

Montano1993 [528]3 years ago

6 0

Answer:

x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t

Step-by-step explanation:

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Solve x2 – 14x 31 = 63 for x

madreJ [45]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

<span> x^2-14*x+31-(63)=0 </span><span>x = 16
</span>

4 0

3 years ago

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The number of rows in an auditorium can be represented by the function f(x) = 80x. The number of seats in each row can be repres

rusak2 [61]

Answer:

$h(x) = 80x^2 + 560x$

Step-by-step explanation:

To find the function h(x), that represents the total number of seats, we just need to multiply the functions f(x) (number of rows) and g(x) (number of seats per row):

$h(x) = f(x) * g(x)$

$h(x) = 80x * (x+7)$

$h(x) = 80x*x + 80x*7$

$h(x) = 80x^2 + 560x$

So the function that represents the total number of seats is:

$h(x) = 80x^2 + 560x$

4 0

3 years ago

Convert degrees Fahrenheit (F) into degrees Celsius (C) using the formula C = 5/9(F - 32). Rewrite the equation to convert degre

marissa [1.9K]

To answer the question above, isolate F on the other side of the equation by multiplying both sides by 9/5. This gives,
(9/5) C = F - 32
Next, transpose -32 to left side.
(9/5)C + 32 = F
Rearrange the equation to give an answer of
F = (9/5)C + 32

4 0

3 years ago

A share of ABC stock was worth $70 in 2011 and only

Bezzdna [24]

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

$\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}$

⇒ 5v - 350 = - 32y

⇒ 5v + 32y = 350 (Answer)

6 0

3 years ago

The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts

seropon [69]

You can make this into a fraction, and then simplify it.

15/10, right?

15/10 = 3/2

Then compare 3/2 to the rest of the equation

3/2 = x/16

2 * 8 = 16
so
3 * 8 = x
x = 24

Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.

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3 years ago

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