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3 years ago

An arrow is launched upward with a velocity of

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft

This means that the arrow is already 50 feets from the ground before moving upwards.

The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.

v^2 = u^2 + 2as

u = initial velocity = 320 feet per second.

1 feet per second = 0.305 meters per second

320 feet per second = 320× 0.305

= 97.6 feets per second

a = acceleration due to gravity =

- 32.17405 feet/second^2 because the arrow is moving upwards)

s =maximum height of the arrow

v = final velocity = 0 feet/second

Substituting into the equation,

0^2 = 97.6^2 + 2×- 32.17405 × s

0 = 9525.76 - 64.3481s

64.3481s = 9525.76

s = 9525.76/64.3481 = 148.03 feets

Total height from the ground would be

148.03 + 50 = 198.03 feets

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Which expression is equivalent

RUDIKE [14]

Given expression is

$\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}$

Radical is fourth root

first we simplify the terms inside the radical

$\frac{x^{11}}{x^7}=x^4$

$\frac{y^(8)}{y^6}=y^2$

So the expression becomes

$\sqrt[4]{\frac{16x^4y^2}{81}}$

Now we take fourth root

$\sqrt[4]{16} = 2$

$\sqrt[4]{81} = 3$

$\sqrt[4]{x^4} = x$

We cannot simplify fourth root (y^2)

After simplification , expression becomes

$\frac{2x\sqrt[4]{y^2}}{3}$

Answer is option B

7 0

3 years ago

Need help with this question

kumpel [21]

Answer:

Step-by-step explanation:

The problem wants you to PLUG IN x into the correct equation.

1) f(-1) means -1 equals x

f(3) means 3 equals x

For example g(9) means 9 = x and f(3/5) means 3/5 = x and so on.

2) Now that you know x equals two numbers -1 and 3 you have to plug them into a equation.

3) Which equation do you plug it in you may ask? You must plug in -1 into x^2 +3 BECAUSE the condition next to it says you can only plug in numbers to x^2+3 greater than or equal to -1 and less than 2. Therefore, you can plug in -1 to this equation.

-1^2 +3 = <u>4</u>

4) Now you have the number 3. Where do you think we should plug #3 into? Well you can plug it in to the first equation because the condition only allows numbers less then -1. the only option is the last one!!

1, for x >= 2 because 3 is certainly bigger than 2.

This means any number greater than or equal to 2 has to be 1.

SO OUR ANSWER IS 4 AND 1

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3 years ago

A three-digit personal identification number is chosen using the digits 1-9. The digits cannot be repeated.

Digiron [165]

Answer

1/9

Step-by-step explanation:

Hope this helps

Download docx

7 0

3 years ago

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In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the l

Ymorist [56]

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

We have to determine

In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula?

<h3>What formula is used to calculate the monthly payment?</h3>

The value of the monthly payment is given by;

$\rm P=PV\times \dfrac{i}{1-(1+i)^{-n}}$

Where,

PV is the present value or the amount of the loan.

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The value should be used for n, the number of periods over which the loan is repaid;

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2 years ago

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solong [7]

Answer:

Step-by-step explanation:

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