PLS HELP 40 POINTS

If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?



340,426.24 in. 3
20,724 in. 3
63,829.92 in. 3
110,528 in. 3

Hi there! Use the difference of two squares formula below:

[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]

You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².

Then,

[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]

[tex] \large{(x + 4)(x - 4) = 0}[/tex]

Solve the equation for all real values of x.

[tex] \large{x = 4, - 4}[/tex]

If you don't like using a formula. You can do this:

[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]

If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.

For the square both sides method above (second method), we can define that:

[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]

Answer

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

2/3

Step-by-step explanation: 2/3 is just 0.66666 repeating which is greater than 0.6

Answer:

2/3

Step-by-step explanation:

2/3 and 3/5

10/15 and 9/15

Hence, 2/3 is greater

Feel free to mark this as brainliest :D

Answer:

56.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

   0 5 6

1 6 9 0 4

 − 0    

   9 0  

 − 8 0  

   1 0 4

 −   9 6

       8

the answer is 56

Answer:

the x intercepts of the parabola are -2.

Answer:

will you msg me . . . . .. . ..

Answer:

422 cm²

Step-by-step explanation:

Small rectangular prism: 3*4 + 8*3 + 8*3 + 8*4 + 8*4 = 124

Large rectangular prism: 5*7 + 5*7 + 10*5 + 10*5 + 10*7 + (10*7 - 4*3 ) = 298

Total: 124 + 298 = 422 cm²

*Calculate only areas of surfaces showing and add them up

The small rectangular prism has 5, and the large rectangular prism has 6 (with a 4*3 rectangle on its top surface covered)

Given:

The radius of smaller cylinder is 2 m.

The radius of larger cylinder is 8 m.

The height of smaller cylinder is 14 m.

Both cylinders are similar.

To find:

The height of larger cylinder.

Solution:

It is given that the both cylinders are similar to each other.

We know that the corresponding sides of similar figure are proportional.

Let height of the larger cylinder is [tex]h_2[/tex].

[tex]\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}[/tex]

[tex]\dfrac{2}{8}=\dfrac{14}{h_2}[/tex]

[tex]\dfrac{1}{4}=\dfrac{14}{h_2}[/tex]

On cross multiplication, we get

[tex]1\times h_2=14\times 4[/tex]

[tex]h_2=56[/tex]

Therefore, the height of the larger cylinder is 56 m.

Let's calculate

4/15×285 + 3/20×320 = 124

124 students are participating in these exercises.

7 students is participating

Answer:

Le quedan 25 pesos

No tendrá pendiente ninguna deuda

Step-by-step explanation:

60-15-20=25

Answer: So how many times can you get 94.2 inces from 1 mile?

How many inches are there in 1 mile?

1 mile = 5280 feet and...

1 foot = 12 inches., so...

1 mile = 5280ft.(12in./ft)

1 mile = 63,360 inches. Finally, you will divide 63,360 inches by 94.2 inches per revolution.

63360%2F94.2+=+672.6revolutions per mile :)

Step-by-step explanation: hope this helped

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

Answer:

y = 0, y= -7

Step-by-step explanation:

[tex]y(-7-y) = 0\\=> y =0\ ,\ -7 -y =0 => y = -7[/tex]

Answer:

I think it is b) 70

Step-by-step explanation:

Arrange the numbers in ascending order then find the middle number.

Answer:

70

Step-by-step explanation:

Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.

Answer:

E and A

Step-by-step explanation:

Answer:

4% per annum

Step-by-step explanation:

Recall :

Simple interest = principal * rate * time

Given that :

Time = 3 ; simple interest = 84 ; principal = 700

84 = 700 * rate * 3

84 = 2100 * rate

Rate = 84 /2100

= 0.04

= 0.04 * 100% = 4% per annum

Answer:

Step-by-step explanation:

W=[tex]\sqrt{x-a/a}[/tex]

squaring both sides

W^2=([tex]\sqrt{x-a/a}[/tex] )^2

W^2=x-a/a

wa=x-a

a=x-a/w

[tex] \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

29/6

Step-by-step explanation:

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

Answer:

5,38

Step-by-step explanation:

its correct!

Answer:

9°

Step-by-step explanation:

In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.

Sum of angles in a ∆ = 180°

80° + m/_2 + m/_2 = 180°

80° + (5x + 5) + (5x + 5) = 180°

10x + 90° = 180°

10x = 90°

x = 9°

6.5 / 12 = x / 24

x = 6.5 × 24 / 12

x = 6.5 × 2

x = 13

Answer:

Step-by-step explanation:

x/y=x/y

6.5/12=x/24

do cross multiplication

12x=24*6.5

x=156/12

x=13

Answer:

Step-by-step explanation:

x/2-5=x/4 +2

x/2-x/4=2+5

x*4-x*2/8=7

4x-2x=8*7

2x=56

x=56/2

x=28

Answer:

J

Step-by-step explanation:

Automatically 1 and 8 are removed as answers since they are too small and go into the negatives, making the other side impossible to be equal. Then just substitute with -20 and 28 and to see which is correct.

Answer:

3, 7

Step-by-step explanation:

"Zeros" means solutions to the equation f(x) = 0.  In other words, what are the values of  x  that make the function's value equal to zero?

This one can be solved by factoring.

[tex]x^2-10x+21=0\\(x-7)(x-3)=0\\x-7=0 \text{ or } x-3=0\\x=7 \text{ or } x=3[/tex]

Answer:

Step-by-step explanation:

= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]

= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]

= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]

= [tex] ( {p})^{ \frac{9}{2}} [/tex]

Answer:

[tex]f(7) = 49[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]

Required

Determine f(7)

To do this, we make use of

[tex]f(x) = x^2[/tex]

Because [tex]7 > 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

This becomes:

[tex]f(7) = 7^2\\[/tex]

[tex]f(7) = 49[/tex]

Answer:

√24

Step-by-step explanation:

Answer:

[tex] \sqrt{24} [/tex]

as

[tex] \sqrt{25} = 5[/tex]

so

[tex] \sqrt{24} \: is \: nearly \: equal \: to \: 5[/tex]

also it is smaller than 5 and the number shown on the number line is left to 5 so it must be smaller than 5

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that [tex]p = 0.5[/tex]

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that [tex]n = 4[/tex]. So

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]

[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125[/tex]

0.3125 = 31.25% probability that it is not ideal.

Answer:

D

Step-by-step explanation:

Answer:

120

hope this helps

have a good day :)

Step-by-step explanation:

120 if not that 60

Step-by-step explanation:

hope this helped