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xz_007 [3.2K]
3 years ago
5

A yard is equal to in length of 3 feet. The function F(y) takes a measurement in yards ( as input) and returns a measurement in

feet (as output) What number will the function return if the input is 12.2?
Mathematics
2 answers:
lesya692 [45]3 years ago
8 0
12.2*3
36.6
you are very welcome
castortr0y [4]3 years ago
6 0

Answer:

The function will return 36.6 if the input is 12.2.

Step-by-step explanation:

Given,

1 yard = 3 feet,

Let y represents the number of yards ( input ) and f(y) represents the number of feet ( output ) for y yards,

y yards = 3y feet,

⇒ f(y) = 3y,

For y = 12.2,

f(12.2) = 3 × 12.2 = 36.6

Hence, the function will return 36.6 if the input is 12.2.

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The bar graph shows the recommended number of hours of sleep for each age group.
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Answer:

The answer is about 10 hours. The recomened amount of sleep for school aged children between the ages of 6-13 years old is 9-11 hours of sleep per night.

4 0
3 years ago
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Evaluate the expression for x = 2. -9x2 + 11x − 7 =
harina [27]

All you have to do is replace every x with 2 and then solve:

<em>Make to sure to follow the Order of Operations!!</em>

-9x(2) + 11x - 7 =

(-9 × 2 × 2) + (11 × 2) - 7 =

-36 + 22 - 7 =

-14 - 7 =

-21

The answer is -21.

Hope that helps!


4 0
3 years ago
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Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will b
lutik1710 [3]
5% of 380 is 19. 380 plus 19 is 399 students.
6 0
3 years ago
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Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)
DENIUS [597]
By the chain rule,

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}

We have

\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}
\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}
\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}

\dfrac{\mathrm dx}{\mathrm dt}=7\cos t
\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t
\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t

So we have

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)
\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}
\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{8\sin t(9-16\cos^4t)}{\cos t(36+13\cos^2t+32\cos^4t)}
3 0
3 years ago
Please help! I will mark brainliest.
valentina_108 [34]

Answer: A = $1503.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

t = 7 years

Therefore,.

A = 1000(1 + 0.06/1)^1 × 7

A = 1000(1.06)^7

A = $1503.6

4 0
3 years ago
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