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Lunna [17]
3 years ago
8

The formula h = 60t - 5t2 can be used to find the height h, in meters, of an object shot upward with initial speed of 60 meters

per second and after t seconds. What would be the height after 3 seconds?
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

135 meters

Step-by-step explanation:

h = 60t - 5t²

t is in seconds and it says to find out the height after 3 seconds

Sub the value '3' into 't'

h = 60(3) - 5(3)²

h = 180 - 5(9)

h = 180 - 45

h = 135 m

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Taylor states that 2,800,000 in scientific notation is 2.8 x 10 -6 because the number has six places to the right of the 2. Is T
soldier1979 [14.2K]

Scientific Notation is the way of <u>writing a number or expressing them</u> in a <u>shorter or more compact way.</u>

No, <u>Taylor's resoning is incorrect</u> because  2,800,000 = 2.8  * 10^{6}

From the question, we are given:

2,800,000 .

2,800,000 in scientific notation is  2.8  * 10^{6}.  

The reason the power is not to the negative 6 is that we are moving from the right-hand side to the left-hand side 6 times.

Therefore, <u>Taylor's reasoning is incorrect. </u>

To learn more, visit the link below:

brainly.com/question/22241437

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2 years ago
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50m =9.50,
Lemur [1.5K]
3.00 + 0.50m = 9.50

2. true 
5. true


4 0
3 years ago
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Rounded to the nearest hundredth: 73 74 74 75 76 77 77 78 78 78 79 80 80 80 81 81 81 81 82 82 82 82 83 83 84 86 86 87 88
inn [45]
Answer is 100 as the next would be 200
7 0
2 years ago
Let g(x) = -x2 + x. Find g(-10).
Inessa05 [86]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
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