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Gnom [1K]
3 years ago
12

the quadratic function h (t)=-16t^2+150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 sto

ry building
Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

From the equation, h(t)=-16t^2+150. You are given the height of the building which is 15ft and you are asked to find the time it takes to fall in seconds.

h(t)=-16t^2+150

15=-16t^2+150

15 – 150 = -16t^2

-135 = -16t^2

t = 2.9 seconds

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IRINA_888 [86]
400/12 = # of dozen needed
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400/12=33.33 need 34 dozen
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8 0
3 years ago
PLEASE, I NEED HELP ASAP
Temka [501]
What is the question you need help on
8 0
3 years ago
Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\
Novay_Z [31]
<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

So we can rewrite this as:

f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}

Using graphing calculator, we get that this value occurs at:

\boxed{x=-0.2}

3 0
3 years ago
I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!
DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

32*-2=-64\\-64*-2=128\\128*-2=-256

This means that the answer is B

3) The sequence is being multiplied by \frac{1}{3} each time. This means that it is geometric.

The next 3 terms would be:

3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

f(x)=1.5(x-1)+15

Now we can find the first 4 terms

f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5

This would mean that the answer is B

5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

f(x)=4.5(10)^{x-1}

Now we can find the first 4 terms

f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500

Unless you meant that the ratio was \frac{1}{10}, the answer is D, none of the above

7 0
3 years ago
Can somebody help me solve for x?
Dahasolnce [82]

Let y = the distance between the top left corner and the bottom right corner

y^2 = 24^2 + 15^2

y^2 = 801

y = 3 * sqrt(89)

Now we can find x.

12^2 + x^2 = (3 * sqrt(89))^2

x^2 = 657

x = 3 * sqrt(73) or 25.63

7 0
3 years ago
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