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Arlecino [84]
3 years ago
14

Rewrite the expression in the form 7^n 7^2 x 7^6

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

The expression in the form 7^n

 7^2\times \:\:7^6=7^n      

Step-by-step explanation:

7^2\:\times \:7^6

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}

7^2\times \:7^6=7^{2+6}

So the expression becomes

7^2\:\times \:7^6=7^{2+6}

              =7^{2+6}

Add the numbers: 2+6=8

              =7^8

Therefore, the expression in the form 7^n

 7^2\times \:\:7^6=7^8                        

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What is the value of 5k2−6 when k = 9?
Anarel [89]

Answer:

84

Step-by-step explanation:

Plug in 9 for k.

5(9)(2) - 6

first: (9)(2) = 9 x 2 = 18

5(18) - 6

second: 5(18) = 5 x 18 = 90

last: 90 - 6 = ?

84

hope this helps

5 0
2 years ago
There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day how much time should we spend sleepin
Katyanochek1 [597]

Answer:

9

Step-by-step explanation:

3/8 × 24

= 3 × 3

= 9

9 Hours

3 0
3 years ago
Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
serg [7]

Answer:

s = 2q + 3

Step-by-step explanation:

A linear function has the form:

● y = mx + b

● y is the output of the function

● x is the variabke that we input

● b is the y-intetcept.

Focus on y and x.

Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.

y is dependent but x is not.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 6q = 3s - 9

We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.

The strategy we are going to follow is separating s in one side alone.

● 6q = 3s - 9

Add 9 to both sides

● 6q + 9 = 3s -9 + 9

● 6q + 9 = 3s

Divide both sides by 3

● (6q + 9)/3 = (3s)/3

● (6q)/3 + 9/3 = s

● s = 2q + 3

So the answer is s = 2q + 3

6 0
3 years ago
Divide. Round your answer to the nearest whole number.<br><br><br> 2,592.1856 divided by .108=?
Ierofanga [76]

Answer:

24002

Step-by-step explanation:

2,592.1856 divided by 0.108

= 24001.7185185

= 24002 (rounded to the nearest whole number)

Hope this helped!

3 0
2 years ago
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on
777dan777 [17]

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

7 0
2 years ago
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