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arlik [135]
3 years ago
5

What is the quotient of 7 to the power of negative 4 and 7 to the power if negative 9​

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

Step-by-step explanation:

7^-4/7^-9

7^9/7^4 = 7^(9-4)

7^5 is the solution

You might be interested in
Find the percent of increase to the nearest whole from 12 to 20
ankoles [38]

Answer:

The answer is

<h2>67\%</h2>

Step-by-step explanation:

To find the percentage increase we use the formula

<h3>Percentage \:   change =  \frac{change}{original \:  \: quantity}  \times 100\%</h3>

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

<h3>\frac{8}{12}  \times 100 \%\\  =  \frac{2}{3}  \times 100\% \\  = 66.67\%</h3>

We have the final answer as

67\% to the nearest whole number

Hope this helps you

3 0
3 years ago
2/3(3/5x+9)=1/2(2x+40)<br><br> I posted this before but w/o the 1/2 on accident
andriy [413]
The answer and working are shown in the photo below
5 0
3 years ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

y=26.9x-1.3

Step-by-step explanation:

We are given a table that  shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0
3 years ago
Read 2 more answers
Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7
ivolga24 [154]

Answer:

Required rule for n^{th} is a_{n}=7n-27.

Step-by-step explanation:

Given that,

a_{11} = 50,\  \  d=7

From the question: we have to write the n^{th} term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

                a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}

                                        where, a_{1} is the first term of A.P

                                                     d is the common difference.

                                                     a_{n} is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

          d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}

Now, Formula of General Term is a_{n}=a+(n-1)d

So,                                                    a_{11}= a+(11-1)d\\        a_{11} = a+10d

 Substituting the value of   a_{11} = 50,\  \  d=7 we get,

                                                         50=a+10\times7\\50=a+70\\a=-20

Then General term (a_{n}) of given data is

                                                         a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27

Therefore, Required rule for n^{th} is a_{n}=7n-27.

5 0
3 years ago
There are 10 men and 14 women in.Kthleen's math class.what is the ratio of women to the total number of students in the class?
ahrayia [7]

The ratio can be determined as,

\begin{gathered} \text{Ratio}=\frac{14}{10+14} \\ =\frac{14}{24} \\ =\frac{7}{12} \end{gathered}

Thus, the requried ratio is 7:12.

3 0
1 year ago
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