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mel-nik [20]
2 years ago
6

An object is launched into the air. The projectile motion of the object can be modeled using the function h(t) = –16t2 + 72t + 5

, where t is the time in seconds since the launch and h(t) represents the height in feet of the object after t seconds. What is true about the projectile motion of this object?

Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

I dont know if this might help

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A horticulturist conducted an experiment on 110 thirty-six inch plant boxes to see if the amount of plant food given to the plan
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8 0
2 years ago
Find the inverse of the function. y = x2 + 4x + 4
alex41 [277]
<span>The given function is ⇒⇒⇒  y = x² + 4x + 4
</span>
To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)²         ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2         ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:
f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function


7 0
2 years ago
Read 2 more answers
The dot plots show the number of first cousins the boys and girls in Miss Campbell‘s class have. Based on the dot plot, which se
FromTheMoon [43]

Answer:

its the threed one.

Step-by-step explanation:

3 0
2 years ago
Another United States traveler arrives at a United States point of entry. He has purchased a Flat car abroad that cost him
mart [117]

Answer:

The duty he has to pay is  156.25$.

Step-by-step explanation:

We know that for foreign-made vehicles imported into the U.S., whether new or used, either for personal use or for sale, are generally dutiable at the following rates: Cars: 2.5%.

From task we know that the  Fiat car abroad that cost him $6,250.

We have the following proportion:

100:6250=2.5:x\\\\100x=2.5\cdot 6250\\\\100x=15625\\\\x=156.25\\

The duty he has to pay is  156.25$.

3 0
2 years ago
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
2 years ago
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