if you were pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. you want to fill it exactly half full, how many cubic inches of juice would you pour

Answers

Answer 1

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3


Related Questions

Help im stuck on this problem

Answers

Answer:

J.

[tex]{ \bf{m \angle A}} = { \bf{180 \degree -48 \degree }} \\ { \tt{m \angle A = 132 \degree}}[/tex]

1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find the
factors of f(x)​

Answers

Answer:

-26

Step-by-step explanation:

Insert the f(-1) into the equation.It'll be f(-1) = 6(-1) + 13(-1) + 2(-1) - 5After you times all of it. You'll get 7-13-2-5Solve it and you'll get -26

hello! I'm having a bit of trouble trying to solve this, could anyone help explain it to me?

Answers

[tex]\displaystyle\ 60^2 =36(36+x)\\\\1296+36x=3600\\\\36x=2304\\\\\boxed{x=64}[/tex]

×=64

Step By Step Explanation:

[tex] {60}^{2} = 36(36 + x)[/tex]Step 1

Calculate 60 to the power of 2 and get 3600.

[tex]3600 = 36(36 + x)[/tex]Step 2

Use the distributive property to multiply 36 by 36 + ×.

[tex]3600 = 1296 + 36 \times [/tex]Step 3

Swap sides so the all variable terms are on the left hand side.

[tex]1296 + 36 \times = 3600[/tex]Step 4

Subtract 1296 from both sides.

[tex]36 \times = 3600 - 1296[/tex]Step 5

Subtract 1296 from 3600 to get 2304.

[tex]36 x = 2304[/tex]Step 6

Divide both side by 36.

[tex] \times = \frac{2304}{36} [/tex]Step 7

Divide 2304 by 36 to get 64

My Answer is

[tex]\color{GREEN} \times = 64[/tex]

The graph of a line goes down and to the right when:
A. there is no coefficient of x.
B. the coefficient of x is 0.
c. the coefficient of xis positive.
D. the coefficient of x is negative.

Answers

Answer:

The answer is D.

Step-by-step explanation:

When a graph of a line goes down and to the right, it shows that as the value of x increases, the value of y decreases. This represents a negative coefficient for x.

The graph is a drawn out version of the question.

Te graph of a line goes down and to the right when the coefficient of x is negative, option (D) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

y = mx + c

We have:

The graph of a line goes down and to the right when.

The orientation of the line depends on the slope.

If the slope of the line is positive, the line will go up.

If the slop of the line is negative, the line will go down.

Thus, the graph of a line goes down and to the right when the coefficient of x is negative, option (D) is correct.

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Darryl is finding the product of -5y(-4y^3+6y^2-5) Is he correct? If not, what changes should be made?

Answers

Answer:

A. Yes, Darryl’s work is correct.

Step-by-step explanation:

-5y(-4y^3 + 6y^2 -5)

Darryl used distributive property
Where the outside number (-5y) is being multiplied by all of the numbers in parentheses

-5y • -4y^3 = 20y^4

Two negative numbers multiplied makes a positive number and an extra y on -5y makes y^4

-5y • 6y^2 = -30y^3

Since -5y is being multiplied by a positive number, the product becomes negative. Extra y^3 comes from the y in -5

-5y • -5 = 25y

Two negatives are being multiplied causing the product to be a positive number and keeping the variable the same value.

Finally, add all of the results!

20y^4 + -30y^3 + 25y =
20y^4 - 30y^3 + 25y






Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –. Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}[/tex]

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property.  The distributive property is generally applicable to multiplication and is given as:

[tex]x(y+z)=xy+yz[/tex]

The commutative property is given as:

x+y = y +a

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.

Answer:

step1

Step-by-step explanation: yes   sirr

Evaluate i^15 i^12
Show work

Answers

Answer:  15 = -i & 12=1

use the pattern : i, -1, -i, 1

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]

the pattern just repeats from here

5 = i

6 = -1

7 = -i

8  = 1

9 = i

10 = -1

11 = -i

12  = 1

13 = i

14 = -1

15 = -i

16  = 1

What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?

Answers

25 it should be the answer

Solve 3x – ly= 11 and -2x – 4y=-26 by elimination
If anyone can help me with this it’d be appreciated

Answers

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

If line n bisects CE, find CD. ​

Answers

If it bisect, then using the Line Bisector Theorem, it must be equal.

So x+6=4x-21

get like terms on 1 side

x+6=4x-21

-x. +21

27= 3x

x=9

plug the x in

CD= 9+6

CD=15

The value of CD such that line n is bisecting line segment CE is 15.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that line, n is bisecting the line segment CE at D

CD = DE

Given CD = x + 6 and DE = 4x - 21

x + 6 = 4x - 21

4x - 21 = x + 6

4x - x = 6 + 21

3x = 27

x = 9

Therefore CD = 9 + 6 = 15

Hence "The value of CD such that line n is bisecting line segment CE is 15".

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write a function rule for the following data

Answers

The answer is B, hope this helps- brainliest if you can please thanks
yup the answer is B you just need to try

PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6

Part A: What are the x-intercepts of the graph of f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answers

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

Find the missing side or angle. Round to the nearest tenth. C=95° a=5 c=6 A=[?]° ​

Answers

Answer:

Missing angle A = 56.1° (approximately)

Step-by-step explanation:

<A = arcsin(a×sin(C)/c)

= arcsin(5×sin 95/6)

= 56.1154084° ≈ 56.1°

Answered by GAUTHMATH

Convert 43.81 ounces to grams

16 ounces = 1 pound
1 kilogram ≈ 2.2 pounds
Round your answer to the nearest hundredth

Answers

Answer:

1241.99

Step-by-step explanation:

1241.993 grams is the original answer but rounded to the nearest hundred is 1241.99

1. What is the solution of the system of equations?
y = -3x + 8
y = -5x - 2

Answers

Answer:

This system of equations has no solution since the first one says:

x

2

y

=

8

while the second one gives us:

x

2

y

=

(

y

x

2

)

=

0

=

0

and  

8

0

Step-by-step explanation:

What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5

Answers

Answer:

A

8.5 is the answer

If you test is going on so

all the best!

What is the answer to this question

Answers

26 m rhiendjfnrbsjen

Answer:

26 m is the answer to the question

The formula for the circumference of a circle is R = c/2(pi)

Find the radius of a circle that has a circumference of 16(pi)

A) r = 4
B) r = 8
C) r = 12
D) r = 16

Answers

The answer is B) r= 8

Find the missing angle measures.​

Answers

Answer:

<ABD = 42 degrees

<ABC = 84 degrees

Step-by-step explanation:

<ABC = 42 + 42 = 84

Someone tell me where everyone is going right please !!

Answers

Answer:

1. 3rd option

2. 4th option

3. 1st option

4. 2nd option

5. 2nd option

Step-by-step explanation:

1.

on changing the signs of an equality the sign gets reveresd

-6 < -2x

6 > 2x

3 > x

2.

2x - 3 > 11 - 5x

adding 5x and 3 to both sides and combining like terms

(2x + 5x) + (-3 + 3) > (11 + 3) + (-5x + 5x)

7x > 14

x > 2

put of all the options x = 4 is a value greater than 2 thus satisfying the condition.

3.

6k + 10. 5 = 3k + 12

subtracting 3k and 10.5 from both the sides while combining like terms

(6k - 3k) + (10.5 - 10.5) = (3k - 3k) + (12 - 10.5)

3k = 1.5

k = 0.5

4.

y + 3 = -y + 9

adding y and subtracting 3 from both sides

(y + y) + (3 - 3) = (-y + y) + (9 - 3)

2y = 6

y = 3

5.

-9x + 1 = -x + 17

adding x and subtracting 1 from both sides

(-9x + x) + (1 -1) = (-x +x) + (17 -1)

-8x = 16

multiplying the equation by -1

8x = -16

diving both sides by 8

x = -2

Answer:

[tex]1. \: \: x < 3[/tex]

[tex]2. \: \: 2[/tex]

[tex]3. \: \: k = 0.5[/tex]

[tex]4. \: \: y = 3[/tex]

[tex]5. \: \: x = 12[/tex]

Step-by-step explanation:

[tex]1. \: \: - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ - 10 + 2x < - 4 \\ 2x < 6 \\ x < 3[/tex]

[tex]2. \: \: 2x - 3 > 11 - 5x \\ 7x - 3 > 11 \\ 7x > 14 \\ x = 2[/tex]

[tex]3. \: \: 6k + 10.5 = 3k + 12 \\ 3k + 10.5 = 12 \\ 3k = 1.5 \\ k = 0.5[/tex]

[tex]4. \: \: y + 3 = - y + 9 \\ 2y + 3 = 9 \\ 2y = 6 \\ y = 3[/tex]

[tex]5. \: \: - 9x + 1 = - x + 17 \\ - 8x + 1 = 17 \\ - 8x = 16 \\ x = - 2[/tex]

Hope it is helpful....

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?


a.) Multiplication


b.) Subtraction


c.) Addition


d.) Division

Answers

Answer:

Multiplication

Amount Tom earns per hour = $7

Step-by-step explanation:

Amount Jeff earns per hour = $14

Amount Tom earns per hour = 1/2 × $14

Note: 1/2 = 0.5

Amount Tom earns per hour = 1/2

× $14

= 0.5 × $14

= $7

Amount Tom earns per hour = $7

Duke works on commission basis. He gets 20% of his total sales. If he
earned $55 last week, what were his sales for the week?

Answers

Answer:

$275

Step-by-step explanation:

Find his sales by dividing 55 by 0.2:

55/0.2

= 275

So, his sales for the week were $275

Can someone please help me. If you do thanks

Answers

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Yes the answer is B!

Which correctly completed the statement given below?

Answers

I haven’t did one of theses in forever but I thinks its C

Answer:

C = <CDB, SAS

You can prove side BD because of the reflexive property (using two of the same sides to prove something) and you are given the other side and the angle. So, since you have a side, angle, and side in that order, you can prove it with SAS.

Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.

Answers

Answer:

32, 34

Step-by-step explanation:

The answer must be grater than 30 so 30 is not an option the integers in the range are 31, 32, 33, and 34 the only even integers in this set are 32, and 34. Hope this helps. :)

Helpppppp and explain tooo thank you :)

Answers

Answer:

{5, 6, 7}

Step-by-step explanation:

When we have a given relation, the domain is the set of inputs, and the range as the set of the outputs.

so for a function f(x), and a domain {a. b. c}

The range is:

{f(a), f(b), f(c)}

In this case, we have:

f(x) = x + 6

and the domain is {-1, 0, 1}

Then the range is:

{ f(-1), f(0), f(1) }

{-1 + 6, 0 + 6, 1 + 6}

{5, 6, 7}

The correct option is the third one.

If an item weighs 45kilograms what is its weight in pounds

Answers

99.208 pounds
is the weight.

-5(x+4) + -3x + -9x+-7

Answers

Answer:

x - 27

Step-by-step explanation:

Our goal here is to solve for x.

Start by performing the indicated multiplication:

-5(x+4) + -3x + -9x+-7  =>  -5x - 20 - 3x + 9x - 7

Combine like terms:  x - 27

Answer:

[tex]-5(x+4) + -3x + -9x+-7[/tex]

[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]

[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]

[tex]\longmapsto -5(x+4)=-5x-20[/tex]

[tex]\longmapsto -5x-20-3x-9x-7[/tex]

[tex]\longmapsto =-17x-27[/tex]

[tex]ANSWER:=-17x-27[/tex]

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

hope it helps....

have a great day!!

Convert the following 4.5 hours Into Second- ( Soin 24​

Answers

Answer: 16,200 Seconds

Step-by-step explanation:

Data: 4.5 hours(h)=x seconds(s)

Step One, Convert Hours Into Minutes

4.5h=4h and 30 minutes(m)

1h=60mx4=240m+30=270m

Reason: Since to convert to seconds, minutes are needed, you have to convert everything to minutes. And with 60 minutes in an hour you have to multiply 60 by 4 to get 240 and add 30 minutes to it(since it's 4.5 hours) to find ourselves at 270 minutes.

Step two, Convert Minutes Into Seconds

1m=60s

270mx60=16,200s

Reason: Since we are ultimately trying to get 4.5 hours into seconds, we have to convert the minutes we have into seconds by multiplying 270 minutes by 60(since 60 seconds are in a minute) to get our final answer of 16,200 seconds.

I hope this helps!

A sweater is on sale for $45.00, down from $75.00. What is the
percent of discount of the sweater?

A. 50%

B. 30%

C. 55%

D. 40%

Answers

Answer:

D

Step-by-step explanation:

The percentage of discount on the sweater will be 40%. The correct option is D.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-

Percentage discount = (75 - 45) / 75

Percentage discount = ( 30 / 75 )

Percentage discount = 0.4 x 100 = 40%

Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.

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