please help me with this question

do u need step by step or do u just need the answer cuz the answer is 4(3y-2)

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let divide the part of engine into three parts as it is composed of 3 different figures.

We know that,

Volume of cone

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

Here, we have,

Subsitute the required values,

Volume of the first part that is cone

[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}(3)^{2}{\times}5}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}9{\times}5}}[/tex]

[tex]\sf{ = 3.14 {\times} 3 {\times} 5 }[/tex]

[tex]\sf{ = 3.14 {\times} 15 }[/tex]

[tex]\sf{ = 3.14 {\times} 15 }[/tex]

[tex]\bold{ = 47.1 cm^{3} }[/tex]

Thus, The volume of cone is 47.1 cm³ .

We know that,

The volume of cylinder

[tex]\bold{ = {\pi}r^{2}h }[/tex]

Here,

Subsitute the required values in the above formula,

Volume of the second part that is cylinder

[tex]\sf{ = 3.14{\times} (3)^{2}{\times} 5}[/tex]

[tex]\sf{ = 3.14{\times} 9 {\times} 5}[/tex]

[tex]\sf{ = 3.14{\times} 45 }[/tex]

[tex]\bold{ = 141.3 cm^{3}}[/tex]

Thus, The volume of the cylinder is 141.3 cm³

We know that,

Volume of hemisphere

[tex]\bold{=}{\bold{\dfrac{ 2}{3}}}{\sf{ {\pi}r}}[/tex]

Here,

Subsitute the required values,

Volume of third part that is hemisphere

[tex]\sf{=}{\sf{\dfrac{ 2}{3}}}{\sf{{\times} 3.14 {\times}3}}[/tex]

[tex]\sf{ = 2 {\times} 3.14 }[/tex]

[tex]\bold{ = 6.28 cm^{3} }[/tex]

Thus, The volume of the hemisphere is 6.28 cm³

The total volume of the part

= Volume of cone + Volume of cylinder + Volume of hemisphere

[tex]\sf{ = 47.1 + 141.3 + 6.28 }[/tex]

[tex]\sf{ = 188.4 + 6.28 }[/tex]

[tex]\sf{ = 194.68 cm^{3} }[/tex]

[tex]\bold{ = 194.7 cm^{3} }[/tex]

Hence, The total volume of the part is 194.7 cm³ .

Answer:

8

Step-by-step explanation:

Plug in variables: 3(x-y)=3(4-1)

Distribute: (3*4)-(3*1)

Solve: 12-3=8

Answer:

[tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]

Step-by-step explanation:

Question

If [tex]\int\limits^3_2 {f(x)} \, dx=5[/tex] and [tex]\int\limits^{10}_3 {f(x)} \, dx=12[/tex], then what is the value of [tex]\int\limits^{10}_{10} {f(x)} \, dx[/tex]?

Answer and Explanation

Assuming you typed your question right, since the upper and lower bounds are the same, then there's no area underneath the curve of f(x), so [tex]\int\limits^{10}_{10} {f(x)} \, dx=0[/tex]

Answer:

79x81 = 6399

Step-by-step explanation:

Answer:

The least amount he could spend to get his car above half full would be $3.90

Explanation:

Half of 12 is 6 therefore 6.1 is above half.

6.1 minus 5.1 is 1.

If gas is $3.90 per gallon then,

3.90

* 1

is 3.90

Answer:

4;64

5;125

Step-by-step explanation:

Find the cube of the number

E.g. (5x5)x5

=25x5

=125

Answer:

Option C

Step-by-step explanation:

The total number of blocks y is three raised to the figure number x.

y = x³

Answer:

x=2

Step-by-step explanation:

For there to be an undefined slope, there has to be no y-intercept. Therefore, the line looks vertical. So, the equation of a line with an undefined slope would be x=?. In this case, where we know a point (2,3), the equation would then be x=2.

Answer:

m=1.7 and b=5

Step-by-step explanation:

5= the y intercept

1.7= the slope that's why it has x as its exponent. Because in mx+b the slope is the one that keeps being multiplied.

Answer:

4406/117

Step-by-step explanation:

Order of operations PEMDAS

Parentheses:

  [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

= [11 - 20 ÷ 39 ÷ 3 + 8] x 2

Multiply or divide:

⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2

= [11 - 20/117 + 8] x 2

Parentheses:

⇒ [11 - 20/117 + 8] x 2

= 2203/117 x 2

Multiply or divide:

⇒ 2203/117 x 2

= 4406/117

Evaluating the expression using BODMAS:

                Work                                                                                                

Step-1: [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Step-2: ⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2                       [Bracket subtraction]

Step-3: ⇒ [11 - 20/39 ÷ 3 + 8] x 2                              [Bracket division]

Step-4: ⇒ [11 - 20/39 x 1/3 + 8] x 2                                        

Step-5: ⇒ [11 - 20/117 + 8] x 2                               [Bracket multiplication]

Step-6: ⇒ [19 - 20/117] x 2                                         [Bracket addition]

Step-7: ⇒ [2223/117 - 20/117] x 2                

Step-8: ⇒ [2203/117] x 2                                        [Bracket subtraction]

Step-9: ⇒ 2203/117 x 2                                    

Step-10 ⇒ 4406/117 (Final Answer)                           [Multiplication]

Answer:

70

Step-by-step explanation:

Since UT = VW, 5x + 5 = 4x + 20

x = 15

UV = 6x - 20 = 6(15) - 20 = 70

Answer:

The second prize is worth $15325.632

Step-by-step explanation:

32580 + 68% = 54734.4 then 54734.4 minus 72% = 15325.632.

Are you sure that's the right question?

Answer:

9450

Step-by-step explanation:

3/4(12600)=X

12600*.75

9450

three fourths of last month's is three forths of 12600 therefore giving you the equation 3/4(12600)=x

Answer:

could you repost the same question so i can understand it better ?

Step-by-step explanation:

<3

Answer:

38, 5

Step-by-step explanation:

f(8) = 38

f(x) = 2, x = 5

Answer:   Yes, because it is how to do it.

Step-by-step explanation:

False

Answer:

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

i just did the quiz so trust

Answer:

yes good job and a few years back to school in new York City to be the first time since I've seen this before

Answer:

X = -1

Step-by-step explanation:

Rewrite equations:

y = -x + 2; 5x + 2y = 1

Step: Solve y = -x + 2y = 1 for y:

y = -x + 2

Step: Substitute -x + 2 for y in 5x +2y =1 :

5x +2y = 1

5x +2 (-x+2) =1

3x + 4 =1 (simplifiy both sides of the equation)

3x + 4 + - 4 = 1 + -4

(Add -4 to both sides)

3x = -3

3x/3 = -3/3 (Divide both sides by 3)

x = -1

Answer: I believe the (-1,3) is the answer!  (hope this helps!)

Answer:

[tex]4 \sqrt{13} + 2 \sqrt{97} [/tex]

Answer:

6

Step-by-step explanation:

To find x, you have to divide 42 by 7. 42/7 equals 6, so x=6.

Answer: 7/15

Step-by-step explanation:

14 divide by 2 is 7

30 divide by 2 is 15

Step-by-step explanation:

In the formula l2 = h2 +r2, l=25 and r=7, then the value of h is

Fill in the missing number - + 38=100

Answer:

502.4 yd^2 for the first one

Step-by-step explanation:

For the first one, because the formula to find the lateral surface value is L.S.A = 2πrh, we can then plug in the values to get this:

2(3.14)(2)(40) = 502.4 yd ^2

Answer:

-3 would probably be the coldest

Step-by-step explanation:

based on my research the higher the number in celsius the hotter it is. the lower the number the colder it is. and since -8 is the lowest it is the coldest temperature.

also may i ask what you dont understand? i can help you

edit

so the choices are

7 , -3 , 1/2 , -0.8 , 0.8 , 1/10 , - 2

we can ignore the choices without the negative signs so..

-3, -0.8, and - 2

is what we have left

-0.8 would not be the coldest because it is not the lowest value

-2 would not be the coldest because it is not the lowest value

-3 is the coldest because it is the lowest value.

You may think that -3 should be the highest since it has "3", but in negative its different. -1 would be greater than -5 because it is closer to 0

Answer:

True

Step-by-step explanation:

3³ x 4

= 3 x 3 x 3 x 4

= 9 x 12

= 108

True

Answer:

True

Step-by-step explanation:

3^3=27

27x4=108

108=108

The equations match.

Hence, the equation is true.

Answer:

2.371

Step-by-step explanation:

11.001 - 8.63 = 2.371

Answer:

12 Assistants

Step-by-step explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants   -  10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3  divided by 10/9 which is

40/3 * 9/10 = 12.