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vladimir2022 [97]
3 years ago
7

Plz help me with this

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:  x = 4

<u>Step-by-step explanation:</u>

6ˣ = 1296

6ˣ = 6⁴

Since they have the same base, set the exponents equal to each other:

x = 4

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What’s the domain and range?<br><br> An airplane travels at 565 mph.
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Answer:

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).

Step-by-step explanation:

Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.

<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>

<em />

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

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3 years ago
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3 years ago
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ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

A\frac{}{1}  = ∫g(x)dx =  ∫xdx =  \frac{1}{2}  {x}^{2}  | \frac{2}{0}  = 2

Area 2:

A\frac{}{2}  = ∫(g(x) - f(x))dx

= ∫(x -  {(x - 2)}^{2} )dx

=  ∫( - {x}^{2}  + 5x - 4)dx

= ( - \frac{1}{3}{x}^{3} +   \frac{5}{2} {x}^{2}  - 4x)   | \frac{4}{2}

= 2.67 - ( - 0.67) = 3.34

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

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3 years ago
Write on equation if the slope is 3/4<br> and the y-intercept is -4,
KonstantinChe [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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At soccer practice, for every 5 minutes that Bob runs, e spends 20 minutes practicing dribbling. If Bob keeps the same ratio and
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5/20=x/36

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