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Mumz [18]
3 years ago
12

20 POINTS! Please look at the attached image!

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

a) 5^4 / 5^2, 5^2

b) 7^3 /  7^3, 7^0=1

c) 8^7/8^4, 8^3

Step-by-step explanation:

A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.

b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1

c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3

horrorfan [7]3 years ago
8 0

Answer:

a) 5⁴/5² = 5²

b) 7³/7³ = 7⁰

c) 8⁷/8⁴ = 8³

Step-by-step explanation:

Quotient is a fraction.

a) 5×5×5×5 = 5⁴

5×5 = 5²

5⁴/5² = 5^(4-2) = 5²

b) 7×7×7 = 7³

7³/7³ = 7⁰ = 1

c) 8×8×8×8×8×8×8 = 8⁷

8×8×8×8 = 8⁴

8⁷/8⁴ = 8^(7-4) = 8³

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The diagram below shows the rectangle PLUM.
Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0
3 years ago
Order of operation 12 - 2x3 =
Anestetic [448]
PEMDAS, Awnser is 6 and for the 20 characters Awnser thing I’m typing this
8 0
3 years ago
Read 2 more answers
A person jogs 1/2 miles in 1/12 hours. The person's speed is how many miles per hour?
ipn [44]

Answer:

6 miles per hour

Step-by-step explanation:

speed = distance/time

speed = 1/2÷1/12 which is the same as

1/2 x 12/1 = 6

6 miles per hour.

or ou could change the 1/2 to become 0.5

and the 1/12 to become 0.083333333

and divide 0.5 ÷ 0.083333333 = 6.000000024

rounded to one decima place become 6.0

6 miles per hour

5 0
3 years ago
Find g^−1 (x) when g(x) = 3/5 x −9.<br><br>5/3x − 1/9<br>5/3 x + 9<br>−3/5 x+ 9<br>5/3 x + 15
Cerrena [4.2K]

Answer:

5/3 x + 15

Step-by-step explanation:

The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.

g(x) = 3/5 x - 9

x = 3/5 y - 9

x + 9 = 3/5 y

5(x+9) = 3y

(5x + 45)/3 = y

5/3x + 15 = y

8 0
3 years ago
Toby exercises 14 hours a week. John exercises 20% more than Toby and Jenny exercises two more hours than John. Which expression
sleet_krkn [62]
John exercised 20% more than Toby. So the number of hours that John exercises per week is 14 + 0.2(14) = 14 + 2.8 = 16.8.

Jenny exercises two more hours than John. So the number of hours that Jenny exercises per week is 16.8 + 2 = 18.8.

So an expression representing the number of hours that Jenny exercises after w weeks is 18.8w.
8 0
3 years ago
Read 2 more answers
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