Joshua just bought a new fish tank. The tank is 14 inches tall and has a radius of 4 inches. How much water can Joshua put in the tank? Use 3.14 for pi. *
A. 703.36 cubic inches
B. 56 cubic inches
C. 224 cubic inches
D. 175.84 cubic inches

Answers

Answer 1

Answer:

V = 703.36 in³   (This matches answer option A.)

Step-by-step explanation:

This fish tank has a cylindrical shape.  The formula for the volume of a cylinder of radius r and height h is

V = (pi)(r²)(h).

We are told that h = 14 in and r = 4 in.  Using 3.14 for pi:

V = (3.14)(4 in)²(14 in) =

V = 703.36 in³   (This matches answer option A.)


Related Questions

Write an equation to solve for the value of x. What is the value of x in the figure shown?

Answers

Answer:12

Step-by-step explanation:37=3x+1

Find five rational numbers between 3/7 and 2/3

PLEASE HELP...... I NEED TO SUBMIT THIS NOW....

Answers

Answer:

First, you get both of them with same denominator:

3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.

The solution is that you can raise the denominator 2 times:

9/21 and 14/21 => 18/42 and 28/42

Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of  5 rational numbers you are looking for.

work out
3/17 x 17/21
write the answer in its lowest form

Answers

3 × 17 over 17 × 21 with the first as numerator and second one as denominator

We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7

The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

From the question,

We are to evaluate  3/17 x 17/21

First, we will write the expression properly

The expression can be written as

[tex]\frac{3}{17} \times \frac{17}{21}[/tex]

The expression can be evaluated as shown below

[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes

[tex]\frac{3 \times 17}{17 \times 21}[/tex]

Simplifying, we get

[tex]\frac{3}{21}[/tex]

Further simplification gives

[tex]\frac{1}{7}[/tex]

Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

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Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended​ warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each​ television? The fixed amount Gi earns for each television he sells is ​$ nothing.

Answers

Answer:

The fixed amount Gi earns for each television he sells is $ 55.

Step-by-step explanation:

If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:

per tv = total earnt/total sold

per tv = 1190/14 = 85

Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:

x + 30 = 85

x = 85 - 30

x = 55

The fixed amount Gi earns for each television he sells is $ 55.

The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.

Answers

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

Learn more:

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Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 4 in, x =6 in, y = 6 in, z = 2 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.

a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z
please help me

Answers

The cone holds 44 cubic inches more ice cream than a cup.

Important information:

Height of a cone is x =6 in and radius w = 4 in.Diameter of a cylinder is y = 6 in and height z = 2 in.

We need to find the volumes of each ice cream container.

Volume:

Volume of the cone is:

[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V_1=\dfrac{1}{3}(3.14) (4)^2(6)[/tex]

[tex]V_1=100.48[/tex]

The diameter of the cylinder is 6 in so the radius is 3 in.

Volume of the cylinder is:

[tex]V_2=\pi r^2h[/tex]

[tex]V_2=(3.14)(3)^2(2)[/tex]

[tex]V_2=56.52[/tex]

Clearly [tex]V_1>V_2[/tex].

[tex]V_1-V_2=100.48-56.52[/tex]

[tex]V_1-V_2=43.96[/tex]

[tex]V_1-V_2\approx 44.0[/tex]

Therefore, the cone holds 44 cubic inches more ice cream than a cup.

Find out more about 'Volume' here:

https://brainly.com/question/1780981

a/2 = b/5

Please just help...

Answers

Evaluated: a=2b/5    :):):):):):):)

                                                                                                   

2/5a=b and5 /Answer:

Step-by-step explanation:a=

2b

Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8

Answers

Answer:

-9x + x = 17 – 1  

8x = 16

X = 16/8  

X=2

Pretty easy question in physics but no one answers them in that subject so I put it here

Answers

Answer:

Wind and biofuel

Step-by-step explanation:

The other are all nonrenewable.

Hope this helps. Also will you friend me so I know if you need any more help I can help you.

THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.

PLEASE HELP..... I NEED TO SUBMIT IT NOW......

Answers

The answer is:
(-28/81)/(-2/3) = -84/(-162) = 42/81

Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.

The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean

weight of the class is 68kg, what is the ratio of females to males in the class?​

Answers

Answer:

1:2

Step-by-step explanation:

Let's say there are x males and y females in the class.

The sum of all male weights will be 72x, and the sum of all female weights will be 60y.

If we get a class mean weight, we have:

(72x + 60y) / (x+y) = 68

72x + 60y = 68x + 68y

4x = 8y

y / x = 4/8 = 1/2

So the ratio of females to males is the class is 1:2

Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.

Answers

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.

Answers

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.

If Horace gives the driver a $20 bill, how much change should he ask for?

Answers

Answer:

$5.94

Step-by-step explanation:

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

Geometry Question!!!!

Answers

It is not tanget because you use the hypotenuse and adjacent which would be cosine

Answer:

D

Step-by-step explanation:

If AB is a tangent, then angle A must be a right angle.

If angle A is a right angle, then triangle ABC is a right triangle and will work in the Pythagorean theorem formula.

a^2 + b^2 = c^2

8^2 + 16^2 = 20^2

64 + 256 = 400

320 = 400

Since 320 = 400 is false, angle A is not a right angle, and AB is not a tangent to circle C.

Answer: D

Triangle A is a scaled version of triangle B. The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 24.5 sq cm. What is the area of triangle B?

Answers

Answer:

The  area of triangle B is [tex]2.72cm ^{2}[/tex]

Step-by-step explanation:

We will use the principle of similar triangles to solve the problem.

Since triangle A is just a scale version of triangle B, we can say that the two triangles are similar.

The area scale factor is the square of the length scale factor.

Given the length scale factor as 3,

The area scale factor will be 3 X 3 = 9 sq. cm

(Area of triangle A / Area of triangle B) =  (length of side A / Length of side B) square

[tex]\frac{24.5}{ area of B}= 3^{2}[/tex]

[tex]\frac{24.5}{Area of B}= 9\\Area of B = \frac{24.5}{9}= 2.72 cm ^{2}[/tex]

The  area of triangle B is [tex]2.72cm ^{2}[/tex]

6 radians is the same as____
Round to the nearest hundredth of a degree.

Answers

Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

343.77 is your answer

5. Decide whether each statement is true or false. (1 point each)

a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to –1 or 1.

b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.


c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.


d. T/F: The best model for data that change direction is a linear model.


e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values.

Answers

Answer:

T

F

F

F

T

Hope This Helped! :D

Answer:

ba p e x

Step-by-step explanation:

t

f

f

f

t

For every bracelet she​ sells, she gives her business partner​ $4. If Latrece sells 18 bracelets for a total of​ $207, how much money will Latrece keep from each bracelet​ sold?

Answers

Answer:

Latrece gets to keep 135.

Step-by-step explanation:

so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135

Answer:

7.50

Step-by-step explanation:

For 18 bracelets

She will give per partner

18*4 =72

She will keep  all but 72 dollars

207 - 72 =135

She wants to know how much per bracelet so divide by the number of bracelets

135 / 18 =7.5

A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.

Answers

Answer:

The answer is 19,75 people / km2

Step-by-step explanation:

Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city

The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.

The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is

79 / 4 = 19,75 people per kilometer square.

I hope this answer helps.

Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3

Answers

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

The radius of a circle is 2 centimeters. What is the circles circumference?

Answers

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for r in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

Carlos bought 80 feet of wire for ​$17.60. He needs 30 more feet. If the unit price is the​ same, how much will he pay for the extra 30 feet of wire​?

Answers

Answer:

Carlos bought 80 feet of wire for ​$17.60.

Then the price for 1 feet of wire is 17.6/80 = 0.22

=> 30 feet of wire would cost: 30 x 0.22 = 6.6

Hope this helps!

:)

please help! i do not understand

Answers

Answer:

90%

Step-by-step explanation:

Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.

correct answer is C). 90%

Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)

Answers

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

What is an equation?

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

To get more about equations visit:

https://brainly.com/question/14323743

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.



What is the length of the arc?

Answers

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.

Answers

Answer:

work is shown and pictured

State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No

Answers

Answer:

Yes

Step-by-step explanation:

since it is being multiplied by -3 each time its geometric

Write the following inequality in slope-intercept form. –12x – 2y ≥ –42

Answers

Answer:

y ≤ −6x−21

Step-by-step explanation:

-12x – 2y ≥ –42

– 2y ≥ 12x –42

-2(– 2y ≥ 12x –42)

y ≤ −6x−21

really need brainliest!

Answer:

the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?

Answers

Answer: No

Step-by-step explanation:

Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.

Mean should be used for average values

Answer:

da ba dee da ba doo im blue

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks.

She says that she usually runs 7 miles each day because that is the distance that occurs most often.

Do you agree with Grace’s reasoning?

Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.

The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

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