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kicyunya [14]
3 years ago
5

it takes 3 buckets of water to fill 1/3 of a fish tank. how many buckets are needed to fill yhe whole tank

Mathematics
1 answer:
maxonik [38]3 years ago
7 0
9 because it take 3 to fill 1/3 do 3 times 3 and its nine
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Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.
Elanso [62]

Given:

The equation is:

4\log_2(2x)=x+4

The graph of the 4\log_2(2x) and x+4 are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of 4\log_2(2x) and x+4 intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions 4\log_2(2x) and x+4 are equal at x=1.24 and x=16.

So, the solutions of given equation are x=1.24 and x=16.

Therefore, the correct option is only F.

6 0
3 years ago
Integral pls i couldnt​
olga nikolaevna [1]

Simplify the integrand:

\dfrac{4x^4 + 3x^2 + 5x}{x^2} = 4x^2 + 3 + \dfrac5x

Now integrate one term at a time.

\displaystyle \int 4x^2 \, dx = \frac43 x^3 + C

\displaystyle \int 3 \, dx = 3x + C

\displaystyle \int \frac5x \, dx = 5 \ln|x| + C

Putting everything together,

\displaystyle \int \frac{4x^4 + 3x^2 + 5x}{x^2} \, dx = \int \left(4x^2 + 3 + \frac5x\right) \, dx = \boxed{\frac43 x^3 + 3x + 5 \ln|x| + C}

5 0
2 years ago
Match the average rates of change of f(x) to the corresponding intervals.
spin [16.1K]

The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
6 0
2 years ago
I can't seem to figure this out
lesya [120]
To answer this question, you would need a protractor, which is a device that measures angle. Because this is a picture, I cannot help you. I'm sorry....

What I can tell you is that the angle is less than 90 degrees.
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4 years ago
Which situation best represents causation?
lesantik [10]
Where are the situations??
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3 years ago
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