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2 years ago

Simplify 5^2•(4+2^3)

Mathematics

1 answer:

Marta_Voda [28]2 years ago

3 0

Remember to follow PEMDAS, and left -> right rule.

First, solve the Parenthesis:

(4 + 2^3)

Solve the exponent.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

4 + 8 = 12

_______________________________________________________________

(5^2) x (12)

5^2 = 5 x 5 = 25

25 x 12

_______________________________________________________________

Multiply

25 x 12 = 300

________________________________________________________________

300 is your answer

________________________________________________________________

~Rise Above the Ordinary

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The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b

makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = $\frac{10}{12}(245b - 365)$ and $\frac{2}{3}(3b+6)$

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, $\frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)$

245b - 365 = $\frac{12}{10}\times \frac{2}{3}(3b+6)$

245b - 365 = $\frac{4}{5}(3b+6)$

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = $\frac{1849}{1213}$

b = 1.52

5 0

2 years ago

Thanks for help have nice day

kupik [55]

Answer: 6. d

7. b

8. d

9. c

Step-by-step explanation:

8 0

2 years ago

consider a wire 2 ft long cut into two pieces. one piece forms a circle with radius r and the other forms a square with side len

makkiz [27]

The formula for the radius r in terms of x . and for the maximum areas is x=2/ $\pi$ +4

Given that,

y forms a circle of radius r

y=2 $\pi$ r

r=y/2 $\pi$

(2-y)- forms Square Side x

(2-y) = 4x

x=(2-y)/4

Now Sum of Area's=Area of Square +Area of Circle

Sum = $\pi$ r² + x²

Substitute the r and x values in above equation,

A(y)= y²/4 $\pi$ +(y-2)²/ 16

To maximize Area A(y)

A'(y)= 0

2y/4 $\pi$ + 2(y-2)/16 =0

y/2 $\pi$ + (y-2)/8 =0

y = 2 $\pi$ / $\pi$ +4

Y max will be max, x to be maximum.

for maximum sum of areas,

x=2/ $\pi$ +4

Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/ $\pi$ +4

Learn more about Area :

brainly.com/question/28642423

#SPJ4

4 0

1 year ago

What is the inverse of the function f(x)= 6x-5/x+9

Goshia [24]

Answer:

Inverse of -5-9x/x-6

Step-by-step explanation:

Steps:

1: Interchange the variables x and y.

x=6y-5/y+9

2: Solve x = 6y-5/y+9 for y

3: Multiply both sides by y+9

4: Simplify and Expand

5: Subtract 9x from both sides.

6: Simplify and Subtract y from both sides then Simplify again

7: Divide both sides by x-6

Answer: Inverse of -5-9x/x-6

Hope this helps.

6 0

2 years ago

Read 2 more answers

a light switch works 25% of the time, how many times does it not work if switched on 64 times in a week

alexira [117]

25% of 64 is 16
$\frac{25}{100} = \frac{x}{64} \\ x = \frac{64 \times 25}{100} = \frac{1600}{100} = 16$
it will work properly 16 times
$64 - 16 = 48$
it will not work 48 times
hope this helps

7 0

3 years ago