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Lorico [155]
3 years ago
7

Help!! I’ll mark brainly list but explain

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

See below, please.

Step-by-step explanation:

\frac{ {(4a - 3b)}^{3} }{c + 5}  \\   \ \\  =  \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5}  \\  =  \frac{ {(( - 8) - ( - 9))}^{3} }{8}  \\  =  \frac{ {( - 8 + 9)}^{3} }{8}  \\  =  \frac{ {1}^{3} }{8}  \\  =  \frac{1}{8}

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an open top box is to be made of sheet of paper that coast 1 cent per square inch.The box has a square bottom which is reinforce
Pani-rosa [81]

Answer:

dimensions to minimize cost is 6 inches x 6 inches x 6 inches

Step-by-step explanation:

Since the box has a square bottom, then it means length and width are the same value. Let the length and width be x. Let the depth by y.

Thus;

Volume is; V = x²y

We are given volume as 216 in³

Thus, V = 216

x²y = 216

y = 216/x²

Surface area of box will be;

S = 2x² + 4xy

Since box is to be made of sheet of paper that coast 1 cent per square inch.

It's means per Sq.m is $0.01

Thus;

C(x) = 2 × 0.01(x²) + 4 × 0.01(xy)

C = 0.02x² + 0.04xy

Put 216/x² for y;

C = 0.02x² + 0.04x(216/x²)

C = 0.02x² + 8.64/x

dC/dx = 0.04x - 8.64/x²

At dC/dx = 0, cost is minimum

Thus;

0.04x - 8.64/x² = 0

0.04x = 8.64/x²

x³ = 8.64/0.04

x³ = 216

x = 6

From y = 216/x²

y = 216/6²

y = 6

Thus,dimensions to minimize cost is 6 inches x 6 inches x 6 inches

4 0
3 years ago
Estimate 38¼ - 14¾ by rounding each number to the nearest whole number.
Gemiola [76]

By rounding each number to the nearest whole number is  23.5

Given,

Estimate 38¼ - 14¾

and, by rounding each number to the nearest whole number.

Now, The solution is :

=38¼ - 14¾ = 153/4 - 59/4

=> \frac{153-59}{4}

=> 94/4

=> 23.5

Estimation a number to the nearest whole number:

To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If the digit is less than 5 (1, 2 , 3, 4) we don't have to do anything, but if the digit is 5 or greater (5,6,7,8,9) we must round up.

Hence, By rounding each number to the nearest whole number is  23.5

Learn more about Whole Numbers at:

brainly.com/question/14783707

#SPJ1

6 0
1 year ago
Can i have help with this
lilavasa [31]

Answer:

Option D

Step-by-step explanation:

<u>Square:</u>

     Side = 25 ft

    Area of square = side * side

                              = 25*25

                              = 625 square ft

<u>Area of semicircle:</u>

diameter = 25 ft

r = 25/2 = 12.5 ft

\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}

                              =\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft

Area of the shaded region = area of square - area of semicircle

                                              = 625 - 245.3

                                              = 379.7 square ft

8 0
3 years ago
Which of the following equations have no solutions?
Neporo4naja [7]

Option 3 is not possible

-60.2 + 32 = -60.2 + 60

And these are not equal

Rest all options have x and are solvable

Must click thanks and mark brainliest

5 0
3 years ago
Read 2 more answers
Write an equation to represent the following statement. j is 14 less than 22.
Georgia [21]

Answer

22-j=


Step-by-step explanation:


3 0
3 years ago
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