Answers
This is a bit strange how your teacher mentions the height increases at 10 inches per minute, but then doesn't refer to the time value afterward.
Ignoring that oddity, we have [tex]V = \pi*r^2*h[/tex] turn into [tex]V = \pi*4^2*h[/tex] when plugging in r = 4. This simplifies to [tex]V = 16\pi*h[/tex]
This represents the volume V for any given height h.
Let's plug in [tex]V = 80\pi[/tex] and solve for h
[tex]V = 16\pi*h\\\\80\pi = 16\pi*h\\\\80 = 16*h\\\\80/16 = h\\\\5 = h\\\\h = 5[/tex]
Note: in the jump from step 2 to step 3, I divided both sides by pi.
So we found that when the height is h = 5 feet, this leads to the volume being [tex]V = 80\pi[/tex] cubic feet.
-------------------------------
Let's convert from feet to inches
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
The height of the cylinder is 60 inches when the volume is 80pi cubic feet.
We're told that the height increases by 10 inches per minute. This would mean that h = 10t assuming the height starts at 0 when the time value is t = 0.
Solving for t leads to...
h = 10t
60 = 10t
60/10 = t
6 = t
t = 6
After 6 minutes, the height is 60 inches = 5 feet.
Related Questions
need help im dum (not really but i dont get it)
i will give brainliest
Answers
Answer:
20
Step-by-step explanation:
to do % you have to multiply your number (50) by the % which is 40%
but you have to turn your number into a decimal (.40) then multiply
you'll get 20 and there is your answer!
hope this helps!
In which diagram do <1 and <2 appear to be vertical angles?
Answers
John wants to buy a new motorcycle. The tax rate is 9%. How much tax will
he pay if the motorcycle cost is $4500? (i need this quickly, i'm trying to study for my math test tomorrow but i don't even know how to do the math- pls help!)
Answers
Answer:
$405.00
Step-by-step explanation:
$4500.00×9%=$405.00
I have asked so many times and no one will answer. :(
1. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/2)⁷
2. Simplify each expression using the laws of exponents. Use the least number of bases possible and only positive exponents. When appropriate, express answers without parentheses or as equal to 1. All letters denote numbers. (1/11)⁻⁷
Answers
Answer:
1) [tex]\frac{1}{2^7}[/tex] ; 2) [tex]11^7[/tex]
Step-by-step explanation:
1) Using the Power of a Fraction Rule [tex](\frac{a}{b} )^x = (\frac{a^x}{b^x} )[/tex],
[tex](\frac{1}{2} )^7 = (\frac{1^7}{2^7} )[/tex], which can just be simplified to [tex]\frac{1}{2^7}[/tex].
2) Using the Negative Exponent Rule, [tex]a^{-x} = \frac{1}{a^{x}}[/tex],
[tex](\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}[/tex], which can be simplified to [tex]11^7[/tex].
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 x)?
3
이를
02
0 13
Answers
Answer:
Step-by-step explanation:
15x - 10 = 10 + 6 + 2x
15x - 10 = 16 + 2x
Bringing like terms on one side
15x - 2x = 16 + 10
13x = 26
x = 26/13
x = 2
The value of x in the equation is 2.
Option C is the correct answer.
What is an equation?An equation is a mathematical statement that shows that two expressions are equal.
It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Equations are used to solve problems and find unknown values.
We have,
We are given the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x) and we need to find the value of x that satisfies this equation.
First, we can simplify both sides of the equation by using the distributive property of multiplication.
This gives us:
15x - 10 = 10 + 6 + 2x
Next, we can combine like terms on both sides of the equation. Specifically, we can combine the constants on the right-hand side:
15x - 10 = 16 + 2x
Now, we want to isolate the term with x on one side of the equation.
We can do this by subtracting 2x from both sides of the equation:
13x - 10 = 16
Finally, we can solve for x by adding 10 to both sides of the equation and then dividing both sides by 13:
13x = 26
x = 2
Therefore,
The value of x in the equation is 2.
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Sheet 3
Functions - Ordered Pairs
A) State whether each set of ordered pairs represents a function.
1) {(0, 2), (15,-2), (3,7), (2,5),(-2,-4), (1,7), (-11,7)}
2) {(-11, -2), (20, 15),(-12,0), (19,-13)}
I
3) ((16,-4), (9,-1), (3,-2), (8, -1), (13,0), (-17, 16)}
4) {(-8, -13), (-7,3), (5, -9), (-7, 18), (4,3), (0, -10)}
Answers
Answer:
1) Yes
2) Yes
3) Yes
4) No
Step-by-step explanation:
A function has to have points that do not share a domain (x-coordinate). All of the options meet this requirement other then option 4.
Hope it helps!
9.
In the expression 7g + 12
a. 7 is the constant
b. c. 12 is the coefficient
C. g is the variable
d. if g = 4, the expression equals 30
Answers
Answer:
c. g is the variable
Step-by-step explanation:
Answer:
The only true answer is that g is the variable
C
pq=3-a√x
make x the subject
Answers
Step-by-step explanation:
pq = 3 - a√x
Making x subject
a√x = 3 - pq
√x = (3 - pq) / a
x = [ (3 - pq) /a ]²
Hope it will help :)
7n +2 –(2n +7) pls help I will give you 15 points
Answers
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
twice a number when described by 7 gives 45 . find the number. and also who wants to talk im bored
Answers
Answer:
Answer
Let the number be x.
twice =2x
When it is decreased by 7 we get the following equation:
2x−7=45
⇒2x=45+7
⇒2x=52
⇒x=252
∴x=26
The number is 26.
Answer:
g
Step-by-step explanation:
Help me pls! I’ll give u 15 points!
Answers
Answer:
add 15 by 19 by 12 to get 46 than cut it in half to get 23!
Hope i helped please mark brainiest I need it!
Which of the following expressions cannot be written as an integer?
-30
18
3
1.2 x 102
149
Answers
Answer:
1.2 x 102
Step-by-step explanation:
An integer is an whole number. It is not a fraction or a decimal.
Types of Integers
1. Positive integers e.g. 18, 3, 149
2. Negative integers e.g. -30
3. Zero integers e.g. 0
1.2 x 102 = 122.4. 122.4 is not an integer because it is not a whole number
5/8 + 3/4 divide by -2/3 - 5/6
Answers
Answer: -4/3
Step-by-step explanation: hope this helps :)
Plz help i will give the first person with the correct answer branliest (show work)
Answers
no
explanation:
-17/-40 = + 0.425
- both negatives cancel out making the answer positive, thought it is the same number, negative and positive are on two different sides of the spectrum.
- conclusion: No
is 4 to 7 the same as 7 to 4? Explain why or why not
Answers
They are not the same
The reason why they arent that same is bc they both are in different orders i hope this helps u and may i get brainliest? <3
Which expression is equivalent to (6 * p ) + 3? *
Answers
Answer:
What are the other choices
Step-by-step explanation:
Ann and bill shared £440 in the ratio 9:2 Ann gives bill some of her money Bill now has the same amount as ann
Answers
Answer:
Bill gave Ann £220
Step-by-step explanation:
plz mark brainliest :D
Ann shared £360 and Bill shared £80.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ann and bill shared £440
Ratio = 9:2
Total is = 9+ 2= 11
So, Anna shred
= 9/11 x 440
= 360
and Bill shred
= 2/11 x 440
= 80
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Question number 3 please will give brainliest if correct.
Answers
Answer:
1. maintain constant
2. decrease
3. increase
For example,
1.) Key word/s: a while. Which means that this will be a constant speed.
The graph will stay constant.
2.) Key word/s: loses. Which means it will go down slowly so it will decrease.
The graph will decrease.
3.) Key word/s: gains. Which is a word that means to add or increase.
The graph will increase.
Hope it helped somehow!
Martha rented a sedan at a cost of $21.25 a day for three days. She drove 980 miles at 25 cents a mile. Gas cost $63.45 what was the cost per mile
Answers
Answer:
38 cents per mile
Step-by-step explanation:
Let us first calculate the total expenditure by Martha
= 21.25*3= $ 63.75
Cost of gas =$ 63.45
Therefore cost per mile = 127.2/980= 0.1297+0.25= $0.3797 or 38 cents per mile
Please help with this one i will glady appreciate it ASAP :)
Answers
Answer:
d. both b and c are not functions, and a is just a chart, not a function.
solve for x and y
-4x + 9y = 9
x - 3y = -6
Answers
Answer:
Solve for x:
[tex]x = \frac{9(y - 1)}{4} [/tex]
Solve for y:
[tex]y = \frac{4x}{9} + 1[/tex]
Find the quotient and remainder when the first polynomial is divided by the second 3x⁴+16x³+6x²-2x-13; x+5
Answers
Answer:
Quotient : 3x³ + x² + x + 3
Step-by-step explanation:
Give the polynomial :
Dividend : 3x⁴+16x³+6x²-2x-13;
Divisor : x+5
Kindly check attached picture for detailed explanation.
Don’t mind my answer...it’s wrong pls help
Answers
Answer:
try 8
Step-by-step explanation:
Which inverse operation is used to solve -15.75=2.5x
Answers
Answer:
addition
Step-by-step explanation:
write down five numbers, so that the mean is 6, the median is 5 and the mode is 4.
Answers
Answer:
10, 4, 5, 7, 4
plzzzzzzzzzz help will mark brainlist
Answers
Answer:
-8
Step-by-step explanation:
1^2=1
-4 x -1 =-4
-4 - 1 -3 = -8
Plug in 1 where there is x
Write the equation of this circle in standard form. A) (x - 2)2 + (y - 3)2 = 4 B) (x + 2)2 + (y + 3)2 = 4 (x - 2)2 + (y - 3)2 = 16 D) (x + 2)2 + (y + 3)2 = 16
Answers
Answer:
The answer is C.
Step-by-step explanation:
The equation of the circle (x - 2)² + (y - 3)² = 16 if the center of the circle is (2, 3) and the radius is 4 units option (C) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The graph of the circle is given in the picture:
The center of the circle is (2, 3) and the radius of the circle is 4 units
As we know, the standard equation of the circle is:
(x - h)² + (y - k)² = r²
Here (h, k) and r is the center of the circle and the radius of the circle.
h = 2 and k = 3
r = 4 plug all the values in the equation:
(x - 2)² + (y - 3)² = 4²
(x - 2)² + (y - 3)² = 16
Thus, the equation of the circle (x - 2)² + (y - 3)² = 16 if the center of the circle is (2, 3) and the radius is 4 units option (C) is correct.
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Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent
Answers
Answer:
40% and 0.4
Step-by-step explanation:
1.) Eric is twice as tall as Kevin. Kevin is also three feet shorter than Eric.
a. Use mathematical sentences to represent all of the information in this problem.
b. Find each boy's height. HINT: Can you represent both boys with ONE variable?
Answers
Rich bought 5 cupcakes and one pie. He knows his total bill is $13.14 and knows the pie was
$6.89. How much is the cost of one cupcake?
Answers
$6.25
Take the total and subtract the amount of money from the pies to get the amount for cupcakes