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bearhunter [10]
3 years ago
11

Which of the following is equal to 1/5^-2A.1/25B.-1/25C.25D.1/7

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

  C.  25

Step-by-step explanation:

The applicable rule of exponents is ...

  a^b = 1/a^-b

Matching this pattern to your expression, you see that ...

  a = 5

  b = 2

Then ...

  1/5^-2 = 5^2 = 25

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If f(x)=-1/3, what is the value of f(-3)
Dmitrij [34]

Answer:

9

Step-by-step explanation:

f(-3)=-1/3=-3 then crisscross

-3*3=-1

-9=-1 divide by -1

f(-3)=9

4 0
3 years ago
The table below shows the number of tadpoles in a pond after a certain number of months.
aliya0001 [1]
<h3>Answer:   Choice D)  6 months to 10 months</h3>

===================================================

Explanation:

  • x = number of months
  • y = number of tadpoles

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

  • A = 32.5
  • B = 27.5
  • C = 28.33 (approximate)
  • D = 26.67 (approximate)

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why <u>choice A</u> is the final answer.

6 0
3 years ago
If a1=1 and an+1=ann+2 for n≥1, determine a1,a2,a3, and a4
Sedbober [7]

Answer:

a1 =1

a2= 1/3

a3= 1/12

a4 = 1/60

Step-by-step explanation:

a(n+1) = an/(n+2)

if n=1

a(1+1)= a1/(1+2)

a2= a1/3

a2= 1/3

if n=2

a(2+1)= a2/(2+2)

a3= a2/4 = a2 × 1/4

a3= 1/3 × 1/4 = 1/12

if n=3

a(3+1)= a3/(3+2)

a4= a3/5 = a3 × 1/5

a4= 1/12 × 1/5 = 1/60

6 0
3 years ago
REWARDING BRAINLY TO CORRECT ANSWER
docker41 [41]

Answer:

"iIf a wrestling team was put in order from lowest to highest weight class, in what weight class would the wrestler in the middle be?"

Step-by-step explanation:

Measuring the center is taking the middle of the data or the mid point and the question is asking what the middle/mid point is exactly.

5 0
3 years ago
Read 2 more answers
What is the value of the expression below when a = 4?
Misha Larkins [42]
So if a = 4 we can substitute the value of the variable into the function
So if a = 4
Then in the equation
6a + 7
We substitute a for 4 which gets

6(4) + 7

24 + 7

31
There for the answer is A

Hope this helps!
6 0
2 years ago
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