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Lina20 [59]
4 years ago
12

This table shows values that represent an exponential function.

Mathematics
2 answers:
Vitek1552 [10]4 years ago
7 0

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 2, 4 ], thus

f(b) = f(4) = 16 ← corresponding value of y from table

f(a) = f(2) = 4 ← corresponding value of y from table , thus

average rate of change = \frac{16-4}{4-2} = \frac{12}{2} = 6 → A

kakasveta [241]4 years ago
5 0

Answer:

3

Step-by-step explanation:

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Find the surface area <br> Please explain
Dmitriy789 [7]

Step-by-step explanation:

There are two trapezium(s), area of 2:

= 2 [½ x (sum of || sides) x height]

= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]

= 55.2 yd²

Area of vertically tilted rectangles

1): area = 5 x 4 = 20 yd²

2): area = 5 x 4 = 20 yd²

Total area = 20 + 20 = 40 yd²

Area of horizontal rectangles:

1): area = 4 x 8 = 32 yd² [upper]

2): area = 4 x 4 = 16 yd² [lower]

Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²

5 0
3 years ago
Read 2 more answers
Compute the magnitude and direction of the sum of the two vectors: 170N of force at 87° and 100N of force at 46°.
krok68 [10]

Answer:

F = 254.08N Θ = 72.03°

Step-by-step explanation:

First of all we find the resolution in both x and y axis

∑Fx = 170cos87 + 100cos46 = 78.36N

∑Fy = 170sin87 + 100sin46 = 241.70N

To find the resultant vector we use pythagorean theorem

F = √(∑Fx)² + ∑(Fy)²

F = √(78.36² + 241.70²)

F = √(64559.1796)

F = 254.08N

the angle between both force can be obtained using

tanθ = ∑Fy / ∑Fx

tanθ = 241.70 / 78.36

tanθ = 3.084

Θ = tan⁻ 3.084

Θ = 72.03°

5 0
3 years ago
If Amelia would like to double her money in twelve years, how much interest does she need to earn? 6 percent 12 percent 10 perce
sveticcg [70]
We can assign the value "2x" as the amount of money that Amelia which to achieve in twelve years.
So, his initial money is X.
We can try each percent to test if it could double the amount in 12 years.
x+0.06*12years*x=1.72X
x+0.12*12*x=1.44x
x+0.1*12*x=2.2x
x+0.166*12*x=2.992x

Therefore, the answer is 10 percent.
4 0
3 years ago
What is the number sentence for "1 less than N is the sum of Z and<br> 2"?
s344n2d4d5 [400]

          \rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

        <em>What is the number sentence for "1 less than n is the sum of z and 2?"</em>

<em> </em>

<em>          </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     \Large\textit{n-1}

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

     2:-

                                       \Large\textit{z+2}

❖ Now, Combine these two little expressions into one equation:-

\implies\sf{n-1=z+2}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

6 0
2 years ago
If the expression 5+2x was evaluated for x=4 it’s value would be
iris [78.8K]

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

5 0
3 years ago
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