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9514 1404 393

Answer:

  rules of exponents apply

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Applying those rules to the given equation, you get ...

  [tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]

Answer:

the answer is 56.25

Step-by-step explanation:

.32x=18

×=56.25

Answer:

-20t-14

Step-by-step explanation:

-10t-10t= -20t

-7-7= -14

Answer: 2034.72

Step-by-step explanation: i got 100% on the quizz and it is correct.

Answer:

2.5 quarts or 5/2

Step-by-step explanation:

Answer:

2/5 quarts or 0.4 quarts

Step-by-step explanation:

there are 25 persons

she made 10 quarts soup

10 quarts / 25 persons = 2/5 quarts = 0.4 quarts

Answer:

Step-by-step explanation:

Rule: Y2 - Y1 / X2 - X1

m= 13-5 ÷ 6-2

  =8/4 =2

Hope it helps! :D

Answer:

i think its the 3rd option

Answer:

Option A

Step-by-step explanation:

Given data

We are told that the weight of the rabbit is 2.8 kilograms

We also want to convert from kilograms to grams

We  know that 1kg= 1000 grams

            Hence 2.8 kg= x gram

Cross multiply

x= 2.8*1000

x= 2800 grams

Hence the weight in grams is 2800grams

Option A is correct

Answer:

it is A

Step-by-step explanation:

2,800

Answer:

4

Step-by-step explanation:

the y intercept is never with another variable, -1/3 would be the slope

Answer:

proper fraction

Step-by-step explanation:

Nope just yours l.ma0.

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

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Explanation:

The center is the origin, so (h,k) = (0,0).

The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2

(x-h)^2 + (y-k)^2 = r^2

(2-0)^2 + (6-0)^2 = r^2

2^2 + 6^2 = r^2

4 + 36 = r^2

40 = r^2

r^2 = 40

We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.

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

Since h = 0, k = 0, and r^2 = 40, we can say:

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 40

x^2 + y^2 = 40

Given:

The expression is

[tex]\dfrac{\_\_\_+4}{2}=10[/tex]

To find:

The number of the blank.

Solution:

Let x be the missing number for the blank. Then,

[tex]\dfrac{x+4}{2}=10[/tex]

Multiply both sides by 2.

[tex]x+4=20[/tex]

Subtract 4 from both sides.

[tex]x=20-4[/tex]

[tex]x=16[/tex]

Therefore, the missing number for the blank is 16.

Step-by-step explanation:

hope this helps. I worked out then posted.

Answer:

88

Step-by-step explanation:

Answer:

A:

1,5

2,6

3,7

4,8

B:

1,8

2,7

C:

3,6

4,5

Answer:

A) 2 & 8    1 & 7

B) 1 & 8     2 & 7

C) 3 & 6    4 & 5

Step-by-step explanation:

Answer:

x=−44/9

Step-by-step explanation:

6/54−x=5/xx

Simplifies to:

−x+1/9=5

Let's solve your equation step-by-step.

−x+1/9=5

Step 1: Subtract 1/9 from both sides.

−x+1/9−1/9=5−1/9

−x=44/9

Step 2: Divide both sides by -1.

−x/−1=44/9/−1

x=−44/9

Answer:

I’m confused on what you want me to do but that is false

Step-by-step explanation:

Answer:

the answer is 1.309<1315

Answer:

Im a little confused as to what the question is

Step-by-step explanation:

I believe that maybe your question was, "how much money is the lunches at the school?" if so.. I can help.

If he spent $15 for 5 days, and we are assuming he had lunch every day....

$15 divided by 5 equals $3.

The school lunches are $3.

Answer:

for step of kepp of yours alive

Answer:

Step-by-step explanation:

The answer choices are not displaying properly. There are many ways to express the relation. For example:

X = 60% of 25

X = 0.60 × 25

X = 0.6 × 25

X = 60/100 × 25

X = 6/10 × 25

X = ⅗ × 25

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

Explanation:

Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.

If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.

At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.

With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.

This means it will take 240/8 = 30 hours to fill the tank with both pipes open.

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

Another approach:

The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.

The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30

This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".

If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1

(rate)*(time) = 1 job

(1/30)*x = 1

x = 30*1

x = 30

It takes 30 hours to do the job with both pipes open.

Answer: 10 years

Step-by-step explanation:

1720=960(1+0.061/12)

Answer:

13/3

Step-by-step explanation:

The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.

Answer:

13/3

Step-by-step explanation:

(4x3+1)/3

=(12+1)/3

=13/3

Step-by-step explanation:

The answer is 220in^2 and hope it's useful and helpful to you.

Answer:

According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5

Answer:

c

Step-by-step explanation: