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lesya [120]
3 years ago
15

A number to the 8th power divided by the same number to the 5th power equals 512. What is the number?

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

8

Step-by-step explanation:

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Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0
3 years ago
The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five
Rufina [12.5K]

Answer:

(C)147

Step-by-step explanation:

Percentage of Twelfth Night= 17%

The company has performed Twelfth Night 25 times in the past five years

Let the total number of performance over the past five years=x

Therefore:

17% of x=25

0.17x=25

x=25/0.17

x=147.06

x=147 (to the nearest whole performance).

The company has performed a total of 147 performances.

<u>The correct option is C</u>

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7 0
3 years ago
Read 2 more answers
Solve the equation or formula for the indicated variable. S=3r^4t, for t
algol [13]

we are given

S=3r^{4t}

Since, we have to solve for t

so, we will isolate t on anyone side

divide both sides by 3

\frac{S}{3} =r^{4t}

now, we can take ln both sides

ln(\frac{S}{3}) =ln(r^{4t})

we can simplify it

ln(\frac{S}{3}) =4tln(r)

divide both sides by 4ln(r)

t=\frac{ln(\frac{S}{3})}{4ln(r)}..............Answer

4 0
3 years ago
If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?
Lilit [14]

9514 1404 393

Answer:

  b²/c tunnels

Step-by-step explanation:

The number of tunnels per ant-hour is ...

  b/(ac)

Multiplying that by the new number of ant-hours, we have ...

  (b/(ac))(ab) = b²/c . . . . tunnels

7 0
3 years ago
A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The su
Oxana [17]

Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

= 0.81

So, the point estimate is 0.81

6 0
3 years ago
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