The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!
Answers
Answer:
The volume will be four times the original volume.
Step-by-step explanation:
V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.
Related Questions
The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Distribution = Normal
Mean(m) = 66
Standard deviation (σ) = 3 inches
A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66
B.) % horses with height between 60 and 72
Using the relation :
X = 60 ; 72
Z = (x - mean) σ
Z = (60 - 66) / 3
Z = - 6/3
Z = - 2
P(Z < - 2) = 0.0228 (using table)
Z = (72 - 66) / 3
Z = 6/3
Z = 2
P(Z < 2) = 0.9772 (using table)
P(score being between 60 and 72):
0.9772 - 0.0228= 0.9544
C) number of samples = 25
Height less than 63 inches :
can someone help me x -y =1
and can yall explain how you solved it
Answers
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
Find the slope of the line through each pair of points. (9.-14). (8-8)
Answers
Answer:
-6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -8- -14)/( 8 -9)
= ( -8+14)/( 8 -9)
6/-1
-6
Answer:
[tex]\boxed {\tt m= -6}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
[tex]m=\frac{-8 - -14}{8-9}[/tex]
[tex]m=\frac{-8 +14}{8-9}[/tex]
Solve the numerator.
[tex]m=\frac{6}{8-9}[/tex]
Solve the denominator.
[tex]m=\frac{6}{-1}[/tex]
Divide 6 by -1.
[tex]m= -6[/tex]
The slope is equal to -6
Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50
Answers
The solution is Option C.
The incorrect rounding of the number 53.864 is 53.87
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the number be represented as A
Now , the value of A is
A = 53.864
Now , on rounding the number A to the nearest , we get
Step 1 :
If we round the number to the nearest integer, the number is 54
Step 2 :
If we round the number to the nearest tenth, the number is 53.9
Step 3 :
If we round the number to the nearest hundredth, the number is 53.86
So , the number 53.87 is not true
Step 4 :
If we round to the nearest tens, the number is 50
Hence , the only incorrect rounding is 53.87
To learn more about rounding up of numbers click :
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For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Answers
Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.
Step-by-step explanation:
Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)
Step-by-step explanation:
Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?
Answers
Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
A store sells 6 cans of soup for $2.40. How much would it cost to buy 13 cans of soup?
Answers
2.40•2 is 4.80
And then to find the price of one can u divide 2.40 by 6 and get 0.40
Add 4.80 and 0.40 together and u get 5.20
Select all of the zeros of the function f(s) = (5x - 7)(x + 3)
Answers
Answer:
Step-by-step explanation:
Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain
Answers
The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?
Answers
98*68-67+87
this is for my lady
Answers
Answer:
6684
Step-by-step explanation:
Answer:
6684
Step-by-step explanation:
(98)(68)-67+87
PEMDAS
solve the inequality -4x + 5 > 21
Answers
Answer:
x < -4
Step-by-step explanation:
Step 1: Write inequality
-4x + 5 > 21
Step 2: Solve for x
Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4Answer:
x < -4
Step-by-step explanation:
[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]
Hope this helps.
If f(a) = 3a? – a, then what is the value of f(-2) ?
Answers
Answer:
Step-by-step explanation:
-7
It’s a written I just took the test
Answers
Um... is there a question?
find the solutions of 4s²-12s = -9 by factoring
Answers
Steps Using Factoring By Grouping
[tex]4 {s}^{2} - 12s = - 9[/tex]
[tex]4 {s}^{2} - 12s + 9 = 0[/tex]
[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]
[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]
[tex](2s - 3)(2s - 3) = 0[/tex]
[tex](2s - 3) {}^{2} = 0[/tex]
[tex]2 s - 3 = 0[/tex]
[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]
[tex] \: \: \: \: \: \: \: 2s = 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]
[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]
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What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answers
Answer:
The answer is 1.788
Step-by-step explanation:
parallel to y = 1/2x+3 and through the point (4,5)
Answers
Y-5=1/2(x-4)
Y-5= 1/2x-2
Final answer
Y=1/2x + 3
Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
Which design would give Shanika what she wants?
A. a circular piece of cloth with radius of 90 cm
B. a circular piece of cloth with radius of 110 cm
C. a circular piece of cloth with radius of 100 cm
D. a circular piece of cloth with radius of 130 cm
Answers
The answer is definatly NOT D. I think that the answer is A.
The design that should give Shanika what she wants is the radius of 90 cm.
Calculation of the design:Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.
So, the radius is
= 40 + 60 - 10
= 90 cm
Learn more about radius here: https://brainly.com/question/3708862
The points in the table lie on a line. Find the slope of the line.
Answers
Answer:
Answer is 6..is correct
Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket
Answers
Answer: adult = $11
Child = $8.5
Step-by-step explanation:
Let the cost of an adult ticket be a
Let the cost of child ticket be c.
From the question,
3a + 4c = $67 ....... i
5a + 6c = $106 ...... ii
Multiply equation I by 5
Multiply equation ii by 3
15a + 20c = $335
- 15a + 18c = $318
2c = $17
C = $17/2 = $8.5
Put the value of c into
3a + 4c = $67
3a + 4($8.5) = $67
3a + $34 = $67
3a = $67 - $34
3a = $33
a = $11
Cost of adult ticket = $11
cost of child ticket = $8.5
On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)
Answers
Answer:
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?
Answers
What on that be $1
Step-by-step explanation:
because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️
Answer: dollar value is 55 cents
Step-by-step explanation: Common Sense
WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa
Answers
Answer:
this isn't a social studies stream
ask the question again but in a social studies thingy
What is the solution for -x+10<4??
Answers
Answer:
x=6
Step-by-step explanation:
subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6
The difference between four times a number and six is -46
Answers
Answer: 4x-6=-46
4x-6=-46
What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5
Answers
Answer:
The slope of the graph is 5 / 2
To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]
Given the following equation:
[tex]5x-2y=20[/tex]To determine the slope of the graph:
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 1.
Where:
x and y are the points.m is the slope.b is the intercept.[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex] ....equation 2
Comparing eqn. 1 and eqn. 2, w have:
Slope, m = [tex]\frac{5}{2}[/tex]
Read more: https://brainly.com/question/18123312
Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)
Answers
Answer:
6
Step-by-step explanation:
They are asking you to plug in 2 for the g(x) equation
5(2)-4=6
of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:
Answers
what a number named as a googolplexian might be ?
Answers
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
will give brainliest !!
Answers
Answer:
$672
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
I think hope this helps