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True [87]
3 years ago
12

Which expression is equal to the expression below?

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Hey there!

  1. \bold{(2\times6)^4}
  2. \bold{2\times6=12}
  3. \bold{12\times12\times12\times12}
  4. \bold{12\times12=144}
  5. \bold{144\times144=20,736}

         \bold{A.\downarrow}

  • \bold{4\times(2\times6)}
  • \bold{2\times6=12}
  • \bold{4\times12=48}
  • \bold{48\neq20,736}
  • \boxed{\bold{incorrect}}

      \bold{B.\downarrow}

  • \bold{8^4}
  • \bold{8\times8\times8\times8}
  • \bold{8\times8=64}
  • \bold{64\times64=4,096}
  • \bold{4,096\neq20,736}
  • \boxed{\bold{incorrect}}

 

         \bold{C.\downarrow}

  • \bold{2\times(6)^4}
  • \bold{6^4=1,296}
  • \bold{2\times1,296=2,592}
  • \bold{2,592\neq20,736}
  • \boxed{\bold{incorrect}}

          \bold{D\downarrow}

  • \bold{2^4\times6^4}
  • \bold{2^4=16}
  • \bold{6^4=1,296}
  • \bold{16\times1,296=20,736}
  • \bold{20,736=20,736}
  • \boxed{\boxed{\bold{correct}}}

\boxed{\boxed{\bold{Answer:D.2^4\times6^4}\checkmark}}

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:)}

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42 divided by 7 is is 6 hope this helps
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3 years ago
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The formula for the cost of buying a car is:
Mice21 [21]

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

So

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

7 0
3 years ago
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile d
Darina [25.2K]

Answer:

Step-by-step explanation:

Base fee = $17.99

Additional charge = $0.95 for each mile driven

If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.

157.65 - 17.99 = 139.65

This means that the remaining $139.65 is how much he paid for the miles he drove.

Since we know each mile costs $0.95.

Simply divide $139.65 by $0.95 to work out how many miles he drove.

Miles driven = 139.65 / 0.95 = ?

4 0
4 years ago
A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.
crimeas [40]

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

5 0
3 years ago
[4 - (3c - 1)][6 - ( 3c - 1)]
Anestetic [448]
Hi there!

You would have to simplify the terms inside [ ] this thing, then multiply.

So let's simplify them first.

4 - (3c - 1) 
use distributive property.....
4 - 3c + 1
-3c + 5

6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7

so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35

So your final answer is...
9c² - 36c + 35

Hope this helped! :)
3 0
3 years ago
Read 2 more answers
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