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MAVERICK [17]
3 years ago
7

A rocket is launched into the air the height in yards of the rocket is a function of time in seconds as shown in the following t

able what is the rockets average rate of change?

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

-11

Step-by-step explanation:

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 6, f(b) = 0

Plug in the values into the formula

Average rate of change = \frac{0 - 33}{6 - 3}

= \frac{-33}{3} = -11

Average rate of change = -11

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HELP!!!!!! I believe its B but I am not sure! :(
n200080 [17]

Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

Log rules allow use to rearrange the exponent as multiplication in front of the log.

(4x-1)ln(e) =ln(3)

ln e as an inverse simplifies to 1.

(4x-1)(1)=ln(3)

We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

5 0
3 years ago
At the farmers market two pounds of peaches cost 4.20 how much would five pounds cost show work
Marizza181 [45]

Hey!

You can make a proportion:

\frac{2}{\$ 4.20} = \frac{5}{x}

Cross multiply

\$ 4.20 \times 5 = \$ 21

Divide by 2

\$ 21 \div 2 = \$ 10.5

<em>5 pounds would cost $10.50</em>

Good luck and hope this helps! :)

3 0
3 years ago
Read 2 more answers
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Degger [83]

Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

  • Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

  • 30x² − 23x − 14

- PNW

7 0
2 years ago
What is 1 tenth of 2.0
timofeeve [1]
O.2 0.2 0.2 the answer is 0.2
yeah
6 0
3 years ago
Read 2 more answers
Simplify square root of 306
Umnica [9.8K]

Answer:

the square root of 306 is

17.49

7 0
3 years ago
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