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Dominik [7]
4 years ago
6

Which expression is equivalent to x^-5/3?

Mathematics
1 answer:
tresset_1 [31]4 years ago
3 0

Answer:

\frac{1}{(\sqrt[3]{x} )^5}

Step-by-step explanation:

x^{-\frac{5}{3} } = (\sqrt[3]{x} )^{-5} = \frac{1}{(\sqrt[3]{x} )^5}

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The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?
mariarad [96]

Let

x-------> the number of hours

y------> the temperature in degrees Fahrenheit

we know that

For x=0\ hours

y=-10\°\ F

For x=30\ hours

y=30\°\ F

The domain of the function is the interval----------> [0,30]

0\ hours \leq x\leq 30\ hours

The range of the function is the interval----------> [-10,30]

-10\°\ F \leq y\leq 30\°\ F

therefore

<u>the answer is</u>

The domain is all real numbers 0 through 30

4 0
3 years ago
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If 10 x equals 5 what is x
zvonat [6]
The answer for this question is gonna be .5 or 1/2
6 0
3 years ago
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The cost of having photos taken includes a sitting fee and $12 for each portrait. The cost of 3,6, and 9 photos respectively is
Eddi Din [679]

Answer:The sitting fee is 15 dollars


Step-by-step explanation:If you were to use the formula y=mx+b then the starting equation would be y=12x+b. It already gave you the cost for the amount of photos respectively so 51=12(3)+b. 12 times 3 equals 36 and 51 minus 36 equals 15. The same way would be used for 87 dollars and 123 dollars while using the amount of photos respectively. 87=12(6)+b. 12 times 6 equals 72. 72 plus 15 equals 87. 123=12(9)+b. 12 times 9 equals 108. 108 plus 15 equals 123. Therefore the sitting fee is 15. (51=12(3)+15, 87=12(6)+15, 123=12(9)+15)


4 0
3 years ago
A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p
Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where n= Sample size.

\mu = Population mean

\overline{x} = Sample mean

\sigma= Population standard deviation.

As per  given , we have \mu=120 (average infants contracted typhoid each month)

\sigma=40

n= 4 (No. of months)

\overline{x}=90

Then , the value of the appropriate test statistic will be :

z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}

z=\dfrac{-30}{\dfrac{40}{2}}

z=\dfrac{-30}{20}

z=-1.5

Hence, the value of the test statistic = -1.5

8 0
3 years ago
(a) State the Cauchy-Schwarz inequality in an equation, in words, and in a planar sketch. (b) Use part (a) to give all solutions
valentinak56 [21]

Complete question

The complete question is shown on the first uploaded image

Answer:

The solution and the explanation is on the second third and fourth uploaded image

8 0
3 years ago
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