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4 years ago

A number to the 11th power divided by the same number to the 8th power equals 64. What is the number

Mathematics

1 answer:

ipn [44]4 years ago

5 0

Answer:

The number for the given statement is 4

Step-by-step explanation:

Given as :

The statement is written as

A number to the 11th power divided by the same number to the 8th power equals 64.

Let the number = n

So, As per statement

$\dfrac{n^{11}}{n^{8}}$ = 64

Now, from the indices method

I.e if the base of the indices are same then the power are subtracted

So, Here the base is n and the power is 11 , 8

So, this can be written as

$n^{11-8}$ = 64

Or, n³ = 64

I.e n = ∛64

So, The cube root of 64 is 4

So, number = n = 4

Hence The number for the given statement is 4 Answer

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Function g can be thought of as a translated (shifted) version of f(x) = x2.

yawa3891 [41]

Answer: 3

Step-by-step explanation:

5 0

1 year ago

Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.

baherus [9]

Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.

I know this because the steps to solve the problem are:

1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)

2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)

3.) determine that it takes Mary 333 days

4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)

5.) 52.631x6 = 316 (just like in step 2 but different numbers)

6.) determine it takes Julie 316 days

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6 0

3 years ago

Read 2 more answers

Number 13 is what I need done

Nadusha1986 [10]

Instead of using an = sign we use $\leq$ becuase its less than or equal to 100 dollars.

The equation of the line is y=10x+7

sub in 100 for y and the inequallity sign

10x+7 $\leq$ 100

solve so x is isolated

10x $\leq$ 93
x $\leq$ 9.3

technically the answer is 9 because you cant buy a fraction of a CD

5 0

3 years ago

A polygon has its vertices at the following points.

seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$

AB = $\sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

BC = |7-4| = 3

CD = $\sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}$

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0

3 years ago

Water is being pumped into a 12-foot-tall cylindrical tank at a constant rate.

Stels [109]

Answer:

4 feet

Step-by-step explanation:

It is given that:

• At 2:30 p.m., the water depth was 2.6 feet.

• It is now 5:00 p.m., and the depth of the water is 3.6 feet.

So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).

Now we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):

$\frac{2.5}{1}=\frac{1}{x}\\2.5x=1*1\\2.5x=1\\x=\frac{1}{2.5}\\x=0.4$

So, in 1 hour, the water level will rise 0.4 feet

So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet

8 0

3 years ago