A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5cm. If silver is priced at $8.00 per, how much will the silver cost to make one solid sphere?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

Answer 1
Radius=1.5cm

Volume

4/3πr³4/3π(1.5)³4/3π(3.375)4.5π14.13cm³

Cost per cm³=$8

Total cost

14.13(8)$113.04
Answer 2

Answer:

$113.04

Step-by-step explanation:

Formula

[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]

[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]

[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]

[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]


Related Questions

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

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Answer:

It's 3.5

(from the answer 3.464101615)

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2^2 + x^2 = 4^2
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√ X^2 = √ 12
X = √ 4 and √ 3
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How can x2 = 2x + 4 be set up as a system of equations? (1 point) y = x2 − 2x + 4 y = x2 + 2x + 4 y = x2 y = x2 + 2x + 4 y = x2 + 2x y = x2 + 4 y = x2 y = 2x + 4

Answers

Answer:

x=3 and y=4

Step-by-step explanation:

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

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Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

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Answer:

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PLEASE HELP
How do I find the periods??

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Answer:

look for where the graph intertacts.

Step-by-step explanation:

a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

Answers

Answer:

As per Provided Information

Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]

On substituting the value we obtain

[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]

Therefore,

Length of the rectangle is 6 inches .

Find the area of this circle. Use 3.14 for π

Answers

Answer:

What circle?

Step-by-step explanation:

Please give more data

Answer:

I need a picture of the circle. you can't answer your question without an actual reference on what im solving

Step-by-step explanation:

I need help with 12aiii and 12b please!! I don’t know how to work it out on my own

Answers

Step-by-step explanation:

12

(a)

(iii) Ans $468.75

(b) Ans $2345.75

You can find the completed solution In the given attachment

Feel free to contact me if u didn't understand anything

I dont like math it is really really hard

Answers

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

in a town of 120 people,it is know that 40 are teachers,25 are students and 9 are doctors amd the rest are office workers.what is the possibility that he or she is an office workers?​

Answers

23/60

hope it helps...!!!!

Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)

Answers

Answer:

p=9

t20=516

Step-by-step explanation:

a

4p-60=2p-6-2p

6p=54

p=9

b

a=60.. d=24

t20=a+19d

=60+19×24

=516

c

Sn=12.5+12.3+12.1

=12n(6-n)

I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?

Answers

A river, rivers have beds, have a part called mouths, and considered to run

Answer:

A river

Explanation;

A river has a "bed," they have a "mouth," and they "run."

How do I graph h(x) = 4|x+4| +3

Answers

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

first to answer correctly will be marked brainliest

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Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?

Answers

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

Compound Interest

Given Data

Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

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a. What is 50% of R1,00?

Answers

Answer:

1000÷50%=2000

Step-by-step explanation:

hope it helps

The required simplified value of R is 2000, as of the given percentage.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the required value be R,
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Thus, the required value of R is given as 2000.

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What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3

Answers

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

Scaling factors! Help!

Answers

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.



How many times did the family eat at restaurants in a year?



20% amys place
10% pizza hut
10% taco bell
27 times adams house

Answers

Answer:

b pizza hut

Step-by-step explanation:

sorry im wrong

Find the 15th term of this arithmetic sequence for 20,26,32,38,44

Answers

Answer:

104

Step-by-step explanation:

There are two ways to do it, though we need to know how it is affected.

20+6=26

26+6=32

32+6=38

38+6=44

Thus, you are adding 6 for each term.

1. You do it manually...(yes.)

I'll number it one by one

1.20

2.26

3.32

4.38

5.44

6.50

7.56

8.62

9.68

10.74

11.80

12.86

13.92

14.98

15.104

The 15th term is 104.

2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)

You can get this formula from the facts that:
-you start off with an additional added 8

-you add 6 every time

-if we do it 6n then it would be incorrect, with an extra 6 for each

-the formula is correct; you can test it for terms 2,3,4,5 like this:

20+6=26

20+2x6=32

20+3x6=38

20+4x6=44

To find the 15th term, you can:

20+14x6=20+84=104.

Unit 6: Radical Functions

Homework 3: Add/Subtract/Multiply Radicals
Show your work!

4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]

5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]

6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]

7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

4.

[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]

5.

15√2 * -2√20-30√40-30*2√10-60√10

6.

4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]

7.

[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2

I need help for this question real quick. Please help if you can

Answers

Answer:

Exact area = 272 - 28.125pi  square cm

Approximate area = 183.6875 square cm  (when using pi = 3.14)

=======================================================

Explanation:

The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.

You could also use this trapezium area formula

A = h*(b1+b2)/2

A = 24*(25+15)/2

A = 480

Whichever method you use, the trapezium has an area of exactly 480 square cm.

--------------------------------------

The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm

The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.

The parallelogram and semicircle areas add to 208+28.125pi

---------------------------------------

Subtract this from the area of the trapezium to wrap things up

480 - (208+28.125pi)

480 - 208 - 28.125pi

272 - 28.125pi

This is the exact area of the blue shaded region in terms of pi

To get the approximate area, replace pi with something like 3.14 and compute.

So 272 - 28.125pi = 272 - 28.125(3.14) =  183.6875 is the approximate area when pi = 3.14

Use more decimal digits of pi to get a more accurate value.

Solve the inequality below: (Remember to use x < or >or< or > ) and then choose the solution set on the number line below.-4x-5<-25 Part A SOlve the inequality

Answers

Answer:

{x : x > 5}

Step-by-step explanation:

-4x - 5 < -25

-4x < -20

When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.

x > -20/-4

x > 5

Hence, the solution set is {x : x > 5}.

Simplify the expression.
3.1z + 2.1z

(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the​ expression.)

Answers

Answer:

5.2z

Step-by-step explanation:

When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.

3.1 + 2.1 = 5.2

So 3.1z + 2.1z = 5.2z

Find the area of this figure

Answers

Answer:

Step-by-step explanation:

4 * 9 + 2* 9 + 1/2*6 * 3

= 36 + 18 + 9

= 63 in^2

The length of the escalator is 36 ft and the

vertical height it rises is 9 ft. what is the angle

of elevation?


a. 90

b. 75. 52

c. 14. 48

d. 14. 04

Answers

Answer:

sin θ = 9 / 36 = 1/4

θ = 14.48 deg    (ans C)

math please help !!!​

Answers

Answer:

a = -2  

Step-by-step explanation:

Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1

2a+5 = 1

2a = 1 - 5

a = -4/2

a = -2  

A store pays $75 for a phone. The customer pays $112.50 for the phone. What percent mark up was put on the phone?

Answers

Answer:

50% markup

Step-by-step explanation:

112.5-75=37.5

Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5

37.5 is HALF of 75, so it was a 50% markup

Answer:

50% increase

Step-by-step explanation:

Firstly, I would do 112.50 - 75 = 37.5

This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.

Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.

Hope this makes sense! If you have any further questions, let me know.

- profparis

URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch

box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick

Box 2 picture attached please give accurate answer thanks!​

Answers

Answer:

One square inch is equal to . So, your box have  square inches and it costs  or $36 to manufacture it.

Step-by-step explanation:

on a number line show all the values of X that have an absolute value less than three

Answers

Answer:

x can equal 2, 1, 0, -1, -2.  A line graph is shown below.

Step-by-step explanation:

The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do  :  2, 1, 0, -1, -2.

x can equal 2, 1, 0, -1, -2.

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?

PLS HURRY THX AND NO LINKS

Answers

Answer:

The inequality represents that height of Aisha is less than 48 inches.


Step-by-step explanation:

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that  Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.

Find the value of each variable. For the circle, the dot represents the center. find a,b,c, & d

pls answer fast

Answers

Answer:

Step-by-step explanation:

The values of angles are written below,

a° = 121°

b° = 53°

c° = 87°

d° = 72°

What is the angle of the chord?

The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.

In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

The values of angles are calculated as,

a = (2 x 108 ) - 9 5

a = 121°

b = 360 - ( 121 + 95 + 91 )

b = 53°

c = (121 + 53 ) / 2

c = 87°

d = ( 91 + 53 ) /2

d = 72°

Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.

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