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kvasek [131]
3 years ago
10

A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how m

any meters will the parachutist fall
during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Assuming that:

1
m
=
3.3
f
t
1m=3.3ft

We can make the conversion from feet per second to meters per second with this procedure:

(
165

f
t
s
)
(
1

m
3.3

f
t
)
=
50

m
s
(165
s
ft
​
)(
3.3 ft
1 m
​
)=50
s
m
​

​
Let
x
x be the amount of meters the parachutist will fall during 15 seconds of free fall

Having that in 1 second the parachutist falls 50 meters, we can calculate
x
x :

x
=
(
50

m
s
)
(
15

s
)
​
x=(50
s
m
​
)(15 s)​


x=750 m
​
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I would be better to purchase whole onions at $1.99 per pound, and cut them yourself

<h3>Optimization of cost</h3>

Number of bowls = 50

Weight of each bowl = 8

Total weight of the onion soup = 8 x 50 = 400 ounces

Note that:

1 pound = 16 ounces

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Total weight in pounds = 25 pounds

If you buy the whole onions and purchase at $1.99 per pound

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If you purchase pre-sliced onions at $2.99 per pound

Total cost = 25 x $2.99 = $74.75

Since it is cheaper to purchase whole onions at $1.99 per pound, it is the better choice

Learn more on cost optimization here: brainly.com/question/27468665

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6 0
2 years ago
1,000,000,000 meters equal 3 gigameters.
vladimir2022 [97]
This is incorrect, <span>1,000,000,000 meters is only equal to 1 giameter</span>
5 0
3 years ago
The price of an item has risen 156$ today. Yesterday it was 65$. Find the percentage increase
VMariaS [17]

Answer:

240%

Step-by-step explanation:

221 - 65 / 65 = x

156 / 65 = x

x = 2.4

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4 0
3 years ago
A 5–foot string of lights will be attached to the top of a 4–foot pole for a holiday display. How many feet from the base of the
wel

Answer:

3

Step-by-step explanation:

The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.

Use the Pythagorean theorem: a^2+b^2=c^2.

Plug in what you are given: 4^2+b^2=5^2

16+b^2=25

b^2=9

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5 0
4 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
nikdorinn [45]

We are given zeros of the polynomial : 7, -11, and 2 + 8i.

Note: The radical zero always comes with the pair of plus and minus sign.

Therefore, another zero would be 2-8i.

Now, in order to find the polynomial with the zeros 7, -11, 2 + 8i and 2-8i, we need to find the factors of the polynomial.

The factors of the polynomial would be (x-7)(x+11)(x-2-8i)(x-2+8i).

Let us multiply those factors to get the standard form of the polynomial.

\left(x-2-8i\right)\left(x-2+8i\right)=\left(x-2-8i\right)\left(x-2+8i\right)  =x^2-4x+68

\left(x-7\right)\left(x+11\right)=x^2+11x-7x-77=x^2+4x-77

\left(x^2-4x+68\right)\left(x^2+4x-77\right)=x^4-9x^2-16x^2+308x+272x-5236\\

=x^4-25x^2+580x-5236.

<h3>Therefore, correct option is 4th option f(x) = x^4 - 25x^2 + 580x - 5236.</h3>
8 0
3 years ago
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