which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?

Answers

Answer 1
Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…

It will have a greater effect to change a variable’s value that has a greater power on it.

Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.
Answer 2

Answer:

hanging the radius by a given amount has a greater effect on the volume than changing the height by the same amount. This is because the value of the radius is squared in the formula.Step-by-step explanation:


Related Questions

Anyone know how to do this

Answers

Answer:

A B C D E MIGHT BE UR ANSWER

A case of 8 items costs $14.88 at costco. What is the price of each item

Answers

Answer: $1.86 per item

Explanation:

14.88 divided by 8

14.88/8= $1.86 per item
14.88/8 = $1.86 price of each item

78. How long will it take a car travelling at an
average speed of 40 mph to cover a distance of
304 miles?​

Answers

Time = distance / speed

Time = 304 miles / 40 mph

Time = 7.6 hours ( 7 hours and 36 minutes)

what is a equivalent ratio of 16:18

Answers

equivalent ratio of 16:18 is 8:9

If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x

Answers

Answer:

[tex] \boxed{x = 7} [/tex]

Step-by-step explanation:

Given:

AB = x + 4BC = 2x – 10AC = 2x + 1

We can illustrate this relationship as:

(2x + 1)

___↑___

| |

A — B — C

|____|___|

↓ ↓

(x + 4) (2x – 10)

_______________________________

When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.

Thus:

(x + 4) + (2x – 10) = (2x + 1)

[Regroup terms]

(x + 2x) + (4 – 10) = (2x + 1)

[Simplify]

(3x – 6) = (2x + 1)

[subtract 2x from both sides to isolate the variable]

(3x – 6) – 2x = (2x + 1) – 2x

[Regroup terms]

(3x – 2x) – 6 = (2x – 2x) + 1

x – 6 = 1

[Add 6 to both sides to isolate the constant]

x – 6 + 6 = 1 + 6

[Simplify]

x = 7

help on bothering please !!!!!reaangie nas perimeter
en
is in bana is with 25.
the value of m
En 182
Hn 224
Gn - 12.2
) -
The area of a rectangle is 134 + 2 square
units. The width is 9. The length is 6.
What is the length?
A 6.5
C 15.5
B 13
D 19

Answers

Answer:

6) F

7) B

Step-by-step explanation:

6)

[tex]\boxed{perimeter \: of \: rectangle = 2(length + breadth)}[/tex]

60= 2[½(n -6) +2n +5]

Expand:

60= 2(½)(n -6) +2(2n) +2(5)

60= n -6 +4n +10

Simplify:

60= 5n +4

Minus 4 on both sides:

5n= 60 -4

5n= 56

Divide both sides by 5:

n= 56 ÷5

n= 11.2

Thus, option F is correct.

7)

[tex]\boxed{area \: of \: rectangle = length \: \times breadth}[/tex]

13q +2= 9(q +6)

Expand:

13q +2= 9q +54

Bring q terms to one side, constant to the other:

13q -9q= 54 -2

Simplify:

4q= 52

Divide both sides by 4:

q= 52 ÷4

q= 13

Thus, option B is correct.

4. Order the sides of each triangle from shortest to longest.
X
85°
41°
54°
W
V
1. Longest
a.
VW
2. Middle
b. WX
3. Shortest
XV
c.

Answers

Answer:

XV < XW < WV

Step-by-step explanation:

The side lengths are proportional to angles they see

The side that sees the largest angle has longest measurement and the one that sees smallest angle would be shortest therefore we can order sides from  shortest to longest like this :

XV < XW < WV

Can you guys please help with these questions I’m extremely stuck. It’s algebra 2 inverse functions.

Answers

9514 1404 393

Answer:

The graph of a function and its inverse are reflections of each other in the line y=xFor each ordered pair (x, y) in a function, the corresponding ordered pair in the inverse function is (y, x)see the attachment for the tables of values

Step-by-step explanation:

Consider the function and its inverse shown in the second attachment. The function is ...

  f = {(a, 3), (b, 1), (c, 2)}

The inverse function is ...

  f^-1 = {(3, a), (1, b), (2, c)}

You will notice that the "x" and "y" of each pair are swapped between the function and its inverse. That is the point of an inverse function. It gives you the input that caused the function to create the output. For example, the pair (3, a) in the above inverse function tells you that the output 3 was the result of an input of 'a' to the original function.

__

On a graph, the swapping of input and output is essentially equivalent to relabeling the axes. If we keep the same x- and y-axis labels, it is equivalent to reflecting the function graph across the line y=x. That reflection is represented by the transformation (x, y) ⇒ (y, x).

__

The point of the exercise here is for you to identify some ordered pairs of one of the functions and realize that the inverse function reverses their order. You are to see that the graph of the function and its inverse are reflections of each other across the diagonal line y=x.

Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28

Answers

Answer:

4 foot ribbon

Step-by-step explanation:

Answer:

544

Step-by-step explanation:

$7.68 x 540 = 4,147.2

can someone answer this please
edge2021

Answers

Answer:

Step-by-step explanation:

it apperes to me that all are rational numbers

Hope this helps

What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?

(Hint: it is the same number. Input only one number in the blank.)

will give (brainlist)

Answers

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

\lim_(x->0)(cos2x)^((3)/(x^(2)))

Answers

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

Step-by-step explanation:

since cos(0) = 1, you have 1/0

I need help with this Math Problem- (I got 7/8 inches more.) Planning to attach a plywood panel with nails 1 3/4 long.The panel is 3/8 inch thick.And beneath the panel is sheetrock which is 1/2 inch thick. How many inches of the nail should go into the wood frame?
Thks again

Answers

9514 1404 393

Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

How to numerically write five and eight then multiply by 4

Answers

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

What is the slope of a line that passes through points (-1, 4) and (4, 9)?
-1
1
3/5
5/3

Answers

The right answer is 1

Get it right I promise I will give brainlist answer ASAP

Answers

I hope it helps. I hope it helps

Answer:

12 unit

I hope it helps

I have a question if anybody answers the reward is brainlist
Whats 0÷0 ​

Answers

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

Help please will mark brainliest

Answers

Answer:

c no is correct pls mark me branilest

Answer:

(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements

Find the Sum
734,839 + 788,958

Answers

Answer:

1523797

Step-by-step explanation:

Have a good day, hope I helped

Answer:

1,523,797

Step-by-step explanation:

734,839 + 788,958

= 1,523,797

COME ON HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP LOSING POINTSS HERE!!!!!

Answers

Answer:

The 1st one for the first pic and I'm not sure but c for the 2nd one

Answer:

a and c

Step-by-step explanation:

Find two positive numbers whose difference is 30 and whose product is 2584.

Answers

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?

Answers

372 x 2 = 744
744/41 = 18.146 or 18.2 gallons of gas rounded
If they want a whole number 18.2 rounds down to 18.

I need your hlep now!!! this is due tomorrow

Answers

Answer:

6. -200+75= -125

7. -40+-17= -57

8. 6+-9= -3+7=4+-5= -1

5+3=8+-6= 2

11+-12= -1+-3= -4+4=0

Correct answer: Cory goes first

Step-by-step explanation:


A sailboat took 1/3 of an hour to travel
10 miles. At the same pace, how many
hours would the sailboat take to travel
120 miles?

Answers

The answer is C, 4 hours.

Answer:

4 hours

Step-by-step explanation:

if 1/3 of an hour = 10 miles

You need to get it to 120 miles.

120/10 = 12

And 12 x 1/3 = 4

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp

Answers

Answer:

2W + 56 = 78 , W = 10

Step-by-step explanation:

perimeter of rectangle = 2*the Length + 2*the Width

n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes

Answers

The question is asking how many combinations of two people can be made from a group of ten people.

Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.

A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45

Jdndndnd d dndndnd d s w w wbeneneheh

Answers

Answer:

17

Step-by-step explanation:

If L and M are parallel then the angles will add up to 180 (a straight line), so:

6x+8+4x+2=180

10x+10=180

10x=170

x=17

Is (1,3) a solution of y = 3x2?

Answers

No this is the awnser-3x+y=2

20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)

Answers

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^

A polynomial is
if its only factors over the integers are 1 and itself.

Answers

Answer: Prime

A polynomial is  prime    if its only factors over the integers are 1 and itself.

==============================================================

Explanation:

Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.

Something like 7 is prime because the only factors are 1 and itself.

This idea extends into polynomials as well.

Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.

Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.

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