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Rina8888 [55]
3 years ago
14

5x (5x3+9^2)+4 I got 28x^2+88 I know i wrong but idont know how to do the problem.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
Distribute the 5x to the contents of the inner parentheses to get 5x^4+405x+4 5x^4+
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Random list of rational numbers
vagabundo [1.1K]

1/3, 2/4, 1/5, 9/3, etc....

5 0
2 years ago
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
sergejj [24]

Answer:

54 three- point field goals

Step-by-step explanation:

184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals

x= 22 free throws, each one is 1 point

184 - 22 = 162

162 ÷ 3 = 54

54=y

54 three point field goals

7 0
2 years ago
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Which expression is equivalent to 8g + 2 + 4g − 2 − 2g?
LekaFEV [45]

Answer:

B) 10g

Step-by-step explanation:

Collect like terms

8g + 4g - 2g = 10g

2 - 2 = 0

10g + 0= 0

4 0
2 years ago
What is the x intercept of the line below?
maw [93]

Answer:

No x-intercept

Step-by-step explanation:

When there's an equation that has no x then it will not touch the x axis.

8 0
2 years ago
Read 2 more answers
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
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