Mathematics Middle School

Which expression represents the volume, in cubic units, of
the composite figure?
pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25)
pi(5^2)(13)+1/3pi(5^2)(12)
pi(5^2)(13+1/3pi(5^2)(25)

Answers

Answer 1

Answer:

[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]

Step-by-step explanation:

Given:

The figure is a combination of a cone and a cylinder

Radius (of both), [tex]r = 5[/tex]

Height of Cylinder, [tex]H_1 = 13[/tex]

Height of Cone, [tex]H_2 = 25 - 13 = 12[/tex]

Required:

Volume of the figure

Let V represents the volume of the figure;

[tex]V_1[/tex] represents the volume of the cylinder

[tex]V_2[/tex] represents the volume of the cone

So, [tex]V = V_1 + V_2[/tex]

Where [tex]V_1 = \pi r^2H_1[/tex] and [tex]V_2 = \frac{1}{3}\pi r^2 H_2[/tex]

So, V becomes

[tex]V = \pi r^2H_1 + \frac{1}{3}\pi r^2 H_2[/tex]

Factorize the above expression

[tex]V = \pi r^2(H_1 + \frac{1}{3}H_2)[/tex]

Substitute [tex]r = 5[/tex]; [tex]H_1 = 13[/tex];[tex]H_2 = 12[/tex]

[tex]V = \pi * 5^2(13 + \frac{1}{3} * 12)[/tex]

Open Bracket

[tex]V = \pi * 5^2(13) +\pi * 5^2 \frac{1}{3} (12)[/tex]

Reorder

[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]

From the list of options given, option c is correct.

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Help me out please not the last one but last one

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem

a^2 + b^2 = c^2

C = 10

a = 6

c^2 - a^2 = 100 - 36 = 64

sqrt. 64 = 8

hope this helps

Answer:

Step-by-step explanation:

Use pythagerom therom we know the hypotneusis 10 and the base is 6 so we do 100^2 - 6^2 and get 64 then we take the square root of 64 and get 8

Solve the equation 25=7+r

Answers

Answer:

r = 18

Step-by-step explanation:

Subtract the seven from both sides

25 -7 = 7 - 7 + r

18 = r

Simple as that!

Hope this helps!

The solution of the given equation is 18.

The given equation is 25=7+r.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 7 to other side of the equation, we get

r=25-7

r=18

Therefore, the solution of the given equation is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

As the result of experimental work, a student finds the density of a liquid to be 0.1369 g/㎤. The known density of that liquid is 0.1478 g/㎤. What is the percent error of this student's work? (Round final answer to the nearest tenth if necessary

Answers

Answer:

Percent error is [tex]7.4\%[/tex]

Step-by-step explanation:

Given:

As per the result of experimental work, density of a liquid is 0.1369 g/㎤

Known density of the liquid is 0.1478 g/㎤

To find: percent error

Solution:

The density of a substance is defined as mass per unit volume.

S.I. unit is Kilogram per cubic metre.

Error = Actual density - density as per the experiment = [tex]0.1478-0.1369=1.0109\,\,g/cm^3[/tex]

Percent error = ( error/Actual error ) × 100 = [tex]\frac{0.0109}{0.1478}\times 100=7.4\%[/tex]

will mark bianleast
Which is the correct ordered pair for point F on the graph?

(–5, –5)

(0, –5)

(–5, 0)

(–5, 5)

Answers

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

Simplify the polynomial-

-3f²+4f-3+8f²+7f+1

Please help!!

I don't understand how to do this or anything with Polynomials really and I really need someone to explain in the easiest way possible!!

Answers

The answer is:

5f^2+11f-2

Explanation: All you would have to do is combine the like terms. For example; -3f^2 amd 8f^2 are both like terms because they both have the same variables and powers. Ignore the variables and powers for a second. Look at the coefficients. -3 and 8 are to be added since the 8 is a positive. Once you add them, the result will be 11f^2. You need to remember to add back the variable and power. It just seems easier that way. There is also another like term in the polynomial. 4f and 7f. You add those to get 11f. The last like term in the polynomial is -3 and 1. You add -3 to 1 and you get -2.

I hope this explanation made sense to you as I tried my best to explain it! :)

Hello I need help on this question. :)

Answers

Answer:

(4)+8 = 3(4)

12=12

Step-by-step explanation:

ANSWER:
OPTION B)
X/2=8
X=8*2
X=16
HOPE IT HELPS!!!!
IF IT HELPED PLEASE MARK BRAINLIEST!!!!

Twice a number plus three times a second number is negative one. The first number plus four times the second number is two.

Answers

Answer:

Step-by-step explanation:

The first number is -2 and the second number is 1

Answer:

The first number is -2 and the second number is 1.

Step-by-step explanation:

2n + 3s = -1

(n + 4s = 2)-2 Multiply by -2 to cancel the n

2n + 3s = -1

-2n - 8s = -4 Add these equations together

-5s = -5 Divide both sides by -5

s = 1

Plug this into the first equation to find the value of n

2n + 3(1) = -1 Multiply

2n + 3 = -1

- 3 - 3 Subtract 3 from both sides

2n = -4 Divide both sides by 2

n = -2

in the following triangle theta=60.Find the values of the angles of the angles B and B'

Answers

Answer:

A. B = 64.13° or B' = 115.87°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...

sin(B)/16 = sin(θ)/15.4

B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)

B = 64.13° or B' = 180° -64.13° = 115.87°

What is 5 1/2 • 2 1/3

Answers

Answer:

77/6 or 12 5/6

Step-by-step explanation:

put it into improper fraction

then multiply 11/2 by 7/3

Select all the situations where knowing the volume of an object would be more useful than knowing its surface area. *

A. Determining the amount of paint needed to paint a barn.
B. Determining the monetary value of a piece of gold jewelry.
C. Filling an aquarium with buckets of water.
D. Deciding how much wrapping paper a gift will need.
E. Packing a box with watermelons for shipping.
F. Charging a company for ad space on your race car.
G. Measuring the amount of gasoline left in the tank of a tractor.

Answers

Answer: C, E, G

Step-by-step explanation:

To measure the amount of gasoline left in the tank of a tractor we need to determine volume. Therefore, the correct options are C, E and G.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

A) Determining the amount of paint needed to paint a barn.

Need to determine the surface area barn.

B) Determining the monetary value of a piece of gold jewelry.

Need to determine the surface area of gold jewelry.

C) Filling an aquarium with buckets of water.

Need to determine the volume of aquarium and bucket.

D) Deciding how much wrapping paper a gift will need.

Need to determine the surface area of a paper.

E) Packing a box with watermelons for shipping.

Need to determine the volume of box and watermelon.

F) Charging a company for ad space on your race car.

Need to determine the surface area of ad space on your race car.

G) Measuring the amount of gasoline left in the tank of a tractor.

Need to determine the volume of the tank of a tractor.

Therefore, the correct options are C, E and G.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ3

which of the following is the proper name for the figure below

Answers

Answer:

Step-by-step explanation:

you name a triangle by its vertices so the only vertices are J,K and E. so the answer is JKE

Answer:

The answer is option 4.

Step-by-step explanation:

In the diagram, A, O and R are the lengths of the triangle. So the best way to identify the triangle using angles is ΔAKE.

A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer:

55135 lbs

Step-by-step explanation:

Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do not know how to solve this question to get to the answer. I will give the title to whoever gives the most understandable explanation to the question and answer. I will be glad to answer to help you give to create an explanation. Thank you and good luck.

Answers

Answer:

[tex]y - x = 2[/tex]

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-1 -0}{-3 - (-2)}[/tex]

[tex]m = \frac{-1}{-3 +2}[/tex]

[tex]m = \frac{-1}{-1}[/tex]

[tex]m = 1[/tex]

The next is to determine the equation of the line using any of the points

The formula is as thus;

[tex]m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}[/tex]

Using [tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ m =1[/tex]

[tex]1 = \frac{y-0}{x - (-2)}[/tex]

[tex]1 = \frac{y-0}{x +2}[/tex]

[tex]1 = \frac{y}{x +2}[/tex]

Multiply both sides by x + 2

[tex](x+2)*1 = \frac{y}{x +2} * (x+2)[/tex]

[tex](x+2)*1 = y[/tex]

[tex]x+2 = y[/tex]

[tex]y = x + 2[/tex]

Subtract x from both sides

[tex]y - x = x - x +2[/tex]

[tex]y - x = 2[/tex]

Hence, the equation of the line in standard form is [tex]y - x = 2[/tex]

Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3. A. Explain why the information Mary was given cannot be correct. B. If the given point (1, 3) and the given slope are correct, what is the equation for the line? C. Give the coordinates of another point on the line. D. If the given points are correct on the line, what is the slope? E. Write an equation for the line.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A. We can calculate the slope using (y2 - y1) / (x2 - x1)

= (3 - (-2)) / (1 - 6)

= 5/-5

= -1.

So the given slope of 3 or one of the points is NOT correct.

B. If the point (1, 3 ) and the slope are correct then the equation for the line (using the point-slope form) is y - 3 = 3(x - 1)

C Another point on this line would be , when x = 0 , y = 3*-1 + 3 = 0

so it's (0, 0)

D. If the given points are correct the slope is ( as above) = -1.

E. The equation for this line is

y - 3 = -1(x - 1)

y = -x + 1 + 3

y = 4 - x.

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5). Square RSTU is translated to form R'S'T'U', which has vertices R'(–8, 1), S'(–4, 1), T'(–4, –3), and U'(–8, –3). If point S has coordinates of (3, –5), which point lies on a side of the pre-image, square RSTU? (–5, –3) (3, –3) (–1, –6) (4, –9)

Answers

Answer:

(–1, –6)

Step-by-step explanation:

Given that S(3, –5) was translated to S'(–4, 1), the transformation rule is (x-7, y+6). Then, the coordinates of square RSTU are:

R'(–8, 1) -> (-8+7, 1-6) -> R(-1, -5)

S'(–4, 1) -> (-4+7, 1-6) -> S(3, -5)

T'(–4, –3) -> (-4+7, -3-6) -> T(3, -9)

U'(–8, –3) -> (-8+7, -3-6) -> U(-1, -9)

The point (–1, –6) lies on the segment RU

The point that lies on a side of the pre-image is mathematically given as

x=(-1,-6)

What is a Pre-Image?

A pre-image is simply a the group of chosen elements from a mapped domain to give a given subset of the codomain.

What points can be found on the pre-image, square RSTU?

Question Parameter(s):

which has vertices

R'(–8, 1),

S'(–4, 1),

T'(–4, –3),

U'(–8,

Generally, the equation for the transformation is mathematically given as

(x-7, y+6).

Therefore

R'(–8, 1) --> (-8+7, 1-6)

R'(–8, 1) --> R(-1, -5)

S'(–4, 1) -=> (-4+7, 1-6)

S'(–4, 1)-> S(3, -5)

T'(–4, –3) --> (-4+7, -3-6)

T'(–4, –3 -> T(3, -9)

U'(–8, –3) --> (-8+7, -3-6)

U'(–8, –3)-> U(-1, -9)

In conclusion, point S with coordinates of (3, –5) lies within RU

x=(-1,-6)

Answers

I believe it’s false

what is the surface area of the given figure

Answers

Answer:

1,728cm square

Step-by-step explanation:

Surface area=sum of all faces of a polygon

Let's do the biggest ones: 32•20=640

32•16=512

Now the rest:

12•32=384

16•12=192 192÷2=96

Now add it all up: 640+512+384+96+96=1,728cm square

will mark as bianlest plz plz hlpe asap The ____________ is the average distance of all the data values from the mean of the data. quartile interquartile range mean absolute deviation bias

Answers

Answer:

mean absolute deviation

Which graph represents the function below?
y=
2x if x> 3
-X+9, if x <3

Answers

Answer:

Step-by-step explanation

Answer:

You're only showing the first option...

3. Tanya needs to buy dirt for her children's playground.
The dirt costs $8 per ton, and there is a delivery cost
of $12 with each order.
If Tanya needs 5.5 tons, what will the cost be?
C=

Answers

If you multiply the cost per ton ($8) by how many tons she needs (5.5 tons) which would be $44. That would be the cost of the 5.5 tons and then add $12 if it’s one order. If I’m wrong it could be multiply the amount of tons if it’s a different order each ton.

Here is a table of values for y = f(x).
х
0 5 10 15 20 25 30 35 40
f(x) 5 6 7
8
9
10 11
12 13
Mark the statements that are true.
O A. f(15) = 8
B. The domain for f(x) is the set (5, 6, 7, 8, 10, 11, 12, 13},
C. The range for f(x) is all real numbers.
D. f(5) = 6

Answers

Answer:

Step-by-step explanation:

I need help on this.

Answers

Answer:

The question itself is wrong .As u know curly brackets should be inside big brackets.So in other words the first step is wrong.

The correct solving would be

Step-by-step explanation:

Mistake first appears in step no.1

We have to use the BODMAS rule

B=Bracket

O=Of

D=Division

M=multiplication

A=Addition

S=Subtraction

Hope it helps..And the right answer of that expression is 116

Please see the attached picture for the full solution

Hope it helps...

Good luck on your assignment

what relationship do you see when comparing the equivalent decimal and percent

Answers

Answer:

decimal 0.25 percent 25

Step-by-step explanation:

Decimal -divide by 100%

Percent -multiply by 100

Cole brought chocolate and vanilla cupcakes to school for his birthday. 40 students decided to take a cupcake, and 90% of them picked vanilla. How many people picked a vanilla cupcake?

PLEASE ANSWER DUE SOON

Answers

Answer:

36 people picked a vanilla cupcake

Step-by-step explanation:

40 * 90%

= 40 * 0.9

= 36

Answer:

36 = people picked a vanilla cupcake

= 40 * 0.9

= 36

Given: f(x) = x² and g(x) = x + 1, find g[f(-2)].
A. -3
B. 1
C. 5

Answers

Answer: C

Step-by-step explanation:

f(x) = x² and g(x) = x + 1

This is composite function, i.e function of a function

g(f(x)) = g(x²), since f(x) = x²

f(-2) = (-2)² = 4

g(f(-2)) = g(4) = 4 + 1 = 5

A- A counter rotation of 270 around the origin

B- A counterclockwise rotation of 90 around the origin

C- A reflection over the x-axis

D- A translation down 5 units

Answers

Answer:

Step-by-step explanation:

how do u delete ur answer

Answer:

B- A counterclockwise rotation of 90 around the origin

Step-by-step explanation:

Have a great day!

The line represented by the equation 3x + 5y = 2 has a slope of - Which shows the graph of
y
..5
5
5
4.
4
4
3+
2
3
2
3
2
+
1
..
2
5
-2-4
1 2 3 4
-3-2-4
-2-
3
-5-4-3-2-14+ 1434
-2
--3-
14
L5
م ر بنه + کا
O
O

Answers

Answer:

Step-by-step explanation:

Solve the given 3x + 5y = 2 for y. This will automatically indicate the slope of the line.

Subtracting 3x from both sides of this equation, we get:

5y = -3x = -3x + 2.

Dividing both sides by 5 yields y = (-3/5)x + 2/5.

The slope of the given line is -3/5. The y-intercept of this line is (0, 2/5).

Next time, please share the answer choicess. Thank you.

Richard can mow the lawn three times as fast as Terri. Together, they finish mowing the lawn in 20 minutes. Which of the following equations would describe how many minutes it would take Richard to mow the lawn by himself? a. 1/x+1/3x=1/20 b. 1/x+1/3=1/20 c. 20 (1/x+1/3x)=1/20 d. x+3x=1

Answers

Answer:

d it adds the two up and only mutiplys terris amount.

// ANSWER PLS //
Which of the following statements is TRUE about minor central angles?

a.) The measure of the central angle is less than 180°.

b.) The measure of the central angle is equal to 360°.

c.) The measure of the central angle is equal to 180°.

d.) The measure of the central angle is greater than 270°.

Answers

Answer

b.) The measure of the central angle is equal to 360°.

Step-by-step explanation:

The car is moving on a rough road with a constant velocity. Hence, its acceleration is zero. As per Newton 's second law of motion, no net force is acting on ...

The true statement is The measure of the central angle is less than 180°.

The correct option is (A)

What is an angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

If the central angle is less than 180 degrees then the sector is known as a minor sector.

The definition of the minor sector also says that "the central angles of a minor sector is less than 180"

Hence, The central angle of a minor sector is less than 180° is true.

Learn more about this concept here:

https://brainly.com/question/18741365

#SPJ2

The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the experiment, predict the number of algae in 7 days. Help asap

Answers

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

[tex]Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355[/tex]

Number of algae in 7 days = 70.355

Answer:

Step-by-step explanation:

Acellus

Other Questions

Which symbol should go into the box to make the statement true?|17| ? 17. A.< B.> C.equal sign with a line through it D. = 3. Barbara was asked to create a set of numbers that contained only integers. Which of the sets doesNOT contain only integers?12B-3, -4,600,9, 100, - 4, 12, -6, 55. 3, -6, -14, 3.5, 72412D 22, -12.0, 9, -14, 28, 4 A moving truck company charges a flat fee of $75 to rent the truck, plus $15 per day. 1:What is the total cost (flat fee and daily charge) to use the truck for one day? 2:What is the total cost for x days? C:Graph the cost of the truck rental over a period of 14 days, using days as the units of time. Be sure to label your axes and scale them by labeling each gridline with a number. Culver Corporation purchased machinery on January 1, 2022, at a cost of $288,000. The estimated useful life of the machinery is 4 years, with an estimated salvage value at the end of that period of $33,800. The company is considering different depreciation methods that could be used for financial reporting purposes.Required:Prepare separate depreciation schedules for the machinery using the straight-line method, and the declining-balance method using double the straight-line rate. Children of gay lesbian and bisexual adults usually grow up to be gay also true or false Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of 7.50 nC? electrons (b) How many electrons must be removed from a neutral object to leave a net charge of 0.580 C? electrons Express the form 1:nGive n as a decimal20 : 4 y = x^2- X-6O A. (x-6)(x + 1)O B. (x+3)(x-2)O C. (x - 3)(x + 2)D. (x-6)(x+5) Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!! prior to Missouris request join the union, northern and southern interest were unequal, balanced,or in agreement in congress.Plz answer will give brainliest Express the inequality using interval notation.x < -4 Camrim Inc., experienced the following events in 2018, its first year of operation: Performed counseling services for $21,700 on account. On May 1, 2018, paid $5,600 cash to rent office space for the next 12 months.. Adjusted the accounts to reflect the amount of rent used during the year. Based on these three events, net income is The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation of 55 hours. Out of 720 freshly installed light bulbs in a new large building, how many would be expected to last between 800 hours and 1030 hours, to the nearest whole number? As explorers , what actions of both the Spaniards and the french left them less dominant in the new land than the later Europeans settlers First AmendmentCongress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech,or of the press;or the right ofthe people peaceably to assemble, and to petition the Government for a redress of grievances.Based on the First Amendment, which statement can you assume to be true about the Founding Fathers? How does pollution affect air resources? Escoge la mejor opcin que contesta la pregunta. Choose the best option that answers the question.Its very common in the Yucatan to hear people speaking in various dialects of which ancient Maya dialect? Quich Quechua Nahuatl Zapoteco HELP NOW What prediction have experts made about the future of tobacco farming in North Carolina? Production on large farms will continue to increase as the demand for tobacco grows. Smaller tobacco farms will likely disappear, being unable to remain competitive.Advances in technology will increase the need for employing migrant workers on tobacco farms. Smaller tobacco farms will likely increase in number and replace large farms. LAST QUESTION WILL GIVE BRAINLIEST!!!!!PLS SHARE YO SMARTNESS!!!!!!!1. Which two substances have parts of their cycles in which the substance must be "fixed"?A) nitrogen and waterB) sulfur and oxygenC) water and phosphorous Find cos angle CA. 5/13B. 12/13C. 12/5D. 13/5

Which expression represents the volume, in cubic units, of the composite figure? pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25) pi(5^2)(13)+1/3pi(5^2)(12) pi(5^2)(13+1/3pi(5^2)(25)

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Which expression represents the volume, in cubic units, of
the composite figure?
pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25)
pi(5^2)(13)+1/3pi(5^2)(12)
pi(5^2)(13+1/3pi(5^2)(25)