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mrs_skeptik [129]
1 year ago
7

This one is super hard

Mathematics
1 answer:
kipiarov [429]1 year ago
5 0

We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have

\begin{gathered} 14=ab^0 \\ 14=a \end{gathered}

We use the second point given (3,3024) to solve for the value of <em>b</em>,

3024=ab^3

Substitute the value of <em>a</em> solved by the equation above on the equation above and solve

\begin{gathered} 3024=14b^3 \\ b=\sqrt[3]{216} \\ b=6 \end{gathered}

Hence, the exponential function is written as

f(x)=14(6)^x

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Your estimate that the length of a board is 24 feet. The actual length of the board is 22 feet. Find the percent error.
Tresset [83]

Answer:

9.09%

Step-by-step explanation:

You over estimated by 2 feet.  Find out how much 2 feet of 22 is by dividing 2 by 22...

2/22 = 0.090909090909

To convert a decimal to a percent, multiply the decimal by 100%

0.0909090909(100%) = 9.0909090909% or 9.09%

5 0
2 years ago
Which expression is equivalent to the following expression 3+13+3+13+3+13 : a) 3(13) b) 3(3+13) c)3×13 d) 3(3×13)
Alex Ar [27]

Answer:

The answer is B

Step-by-step explanation:

3+3+3+13+13+13

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This is also 3 times 13

Which would be 3(3+13)

8 0
2 years ago
Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in th
aleksandr82 [10.1K]

Answer:  Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.


Step-by-step explanation:


4 0
3 years ago
What is the vertex of the graph of f(x) = |x 3| 7? (3, 7) (7, 3) (–3, 7) (7, –3).
KatRina [158]

The vertex of the given modulus function is (3,-7).

Given information:

The given modulus function is,

f(x)=|x-3|-7

It is required to find the vertex of the given function.

<h3>What is the vertex of a modulus function?</h3>

Modulus function is in the shape of V. The notch of V is the vertex of the function.

The given function can be defined as,

f(x)=x-10;x\geq3\\&#10;f(x)=-x-4;x

From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.

See the attached image.

Therefore, the vertex of the given modulus function is (3,-7).

For more details about modulus function, refer to the link:

brainly.com/question/18793028

5 0
2 years ago
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Lucas wants to prove that the base angles of any isosceles triangle are
Dmitrij [34]

Answer:

EG so that GF ≈ EF

Step-by-step explanation:

8 0
2 years ago
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