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dmitriy555 [2]
3 years ago
9

A rectangular box has volume 10 cubic meters. the base of the box is a square. the top and the base of the box are made from mat

erial which costs 30 dollars per dquare meter. the material for the sides costs 20 dollars per square meter. express the total cost of the box in terms of the length of the edge of the base.
Mathematics
1 answer:
allsm [11]3 years ago
3 0
200 times 20 qnd ten then 30 if you want then go from there 
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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

Exchange the variables

x for y and y for x

x=\{2\}^{\{y+5\}}-6

step 2

Isolate the variable y

(x+6)=2^{(y+5)}

apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

Let

f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

7 0
1 year ago
Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-
MakcuM [25]

Option C

The simplified form of given expression is 4.46 \times 10^{-4}

<em><u>Solution:</u></em>

Given that we have to simplify the expression shown below

0.00048 - (3.4 \times 10^{-5})

Let us first convert 0.00048 to scientific notation

<em><u>Steps to follow:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.00048 = 4.8 \times 10^{-4}

So the given expression becomes,

\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}

Let us make the exponent of second term as -4

\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}

Take 10^{-4} as common term,

\rightarrow 10^{-4} (4.8 - 0.34)

\rightarrow 4.46 \times 10^{-4}

Thus option C is correct

7 0
3 years ago
What is the domain of the function y= the square root of x+6-7
Diano4ka-milaya [45]
X>-6 is what i believe the answer is.
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4 0
3 years ago
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Ricky caught a snake that was 58.2 centimeters long. Which of these lengths has an 8 with a value of 1/10 the value of the 8 in
Anettt [7]

In every number, set every digit to zero that is not 8. Then look at the question again.

"Which of these lengths has 1/10 the value of 8.0?"

  • A. 800
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  • C. 80
  • D. 0.80

We hope the answer D is obvious to you.

... 0.80 = (1/10)×8.0

___

The appropriate choice is ...

... D. 209.86

8 0
3 years ago
What is the remainder when the sum 10 to the power of 3 + 4 to the power of 2 divided by 8?
Basile [38]

Answer:

-76 is the remainder

Step-by-step explanation:

hope helps

7 0
3 years ago
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