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RideAnS [48]
3 years ago
15

Molly wishes to make a lawn ornament in the form of a solid sphere. The clay being used to make the sphere weight 0.075 pound pe

r cubic inch. If the sphere radius is 4 inches, what is the weight of the sphere, to the nearest pound? A)20 B)15 C)4 D)34
Mathematics
1 answer:
sasho [114]3 years ago
3 0
The first thing to do in this case is to find the volume of the sphere.
 We have then:
 V = (4/3) * (pi) * (r ^ 3)
 V = (4/3) * (pi) * ((4) ^ 3)
 v = 268 in ^ 3
 Then, the but of the sphere will be given by:
 W = (0.075) * (268)
 W = 20
 Answer: 
 the weight of the sphere, to the nearest pound is: 
 A) 20
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Zigmanuir [339]

Answer:

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Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

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3 years ago
Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models
kumpel [21]

Answer:

Option C \left|80-5x\right|\le 4

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above  $80

so

5x\leq 80+4

Solve for x

x\leq \$16.80

The total cost to be no more than $4  below $80

so

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2

therefore

The inequality that represent this problem is

\left|5x-80\right|\le 4

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

+(5x-80)\le 4

5x\le 80+4

Solve for x

x\leq \$16.80 ----> is ok

<em>Second solution (negative case)</em>

-(5x-80)\le 4

Multiply by -1 both sides

(5x-80)\ge -4

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2 ---> is ok

Remember that

\left|5x-80\right|\le 4 is equivalent to \left|80-5x\right|\le 4

Because is a absolute value

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3 years ago
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Pepsi [2]

third option is the correct answer....

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3 years ago
F(x)=3(x+5)+4/x, what is f(a+2)
likoan [24]

the answer would be= -2fx+3x^2+15+a/fx

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3 years ago
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