A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches. What is the difference between the volumes of the cans? Show your work.
Answers
Related Questions
Find the surface area of the cylinder. Round to the nearest whole number.
•1,359 cm^2
•730 cm^2
•553 cm^2
•1,790 cm^2
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Surface area = 2π(7.5)² + 2π(7.5)(8) = 730 cm² (nearest whole number)
Answer: 730 cm²
What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x + 10 and passes through the point (15, –5)?
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-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20
The y-intercept of the perpendicular line is y=20.
Lisa drove 40 3/5 miles in one hour. At the same speed in how many hours could she drive in 121 4/5
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[tex]\bf Answer:[/tex]
Lisa can drive 121 4/5 miles in [tex]\boxed{ \rm C.~3~hours}[/tex].
40 3/5 = 40.6
121 4/5 = 121.8
121.8 ÷ 40.6 = 3
Find the distance between the points (
-
10,12) and (15,12).
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[tex]d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} [/tex]
We are given two points in the form (x,y), so plug in the values to the distance formula:
[tex]d= \sqrt{(-10-15)^2-(12-12)^2} [/tex]
Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:
[tex]d= \sqrt{(-25)^2} [/tex]
The square and square root cancel each other out leaving us with 25.
The answer is 25.
To win at lotto in a certain state, one must correctly select 6 numbers from a collection of 50 numbers (one through 50). the order in which the selections is made does not matter. how many different selections are possible?
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Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700
Answer: 15 890 700
C(50, 6) = 50!/(6!*44!) = 15,890,700
line L1, L2 and L3 are in the same plane, L1 is perpendicular to L2, and L3 is parallel to L1. which of the following statement must be true?
1. L3 is parallel to L2
2.L3 is perpendicular to L2
3.L3 intersects L2
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because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect
The true statement will be
1. ''L3 is perpendicular to L2''
What is Parallel lines?
Parallel lines are straight lines that do not intersect at any point.
Given that;
Line L1, L2 and L3 are in the same plane,
L1 is perpendicular to L2, and L3 is parallel to L1.
Now,
Line L1 is perpendicular to L2.
And, L3 is parallel to L1.
Then, Line L3 is perpendicular to line L2
Thus, The true statements will be
1. ''L3 is perpendicular to L2'' and
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the radius of a glass is 1.25 inches. What circumference? use 3.14 for pi
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Answer= 7.85
I think this is the answer.
describe the steps you would use to factor 2x ^ 3 + 5x ^ 2 - 8x - 20 completely then State the factored form. this isn't multiple choice btw
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Answer:
2·x^3 + 5·x^2 - 8·x - 20 = 0
You see that the term will be 0 for x = 2
(2·x^3 + 5·x^2 - 8·x - 20) / (x - 2) = 2·x^2 + 9·x + 10 = 0
You can use the abc-formula to solve the quadratic equation.
x = -2.5 ∨ x = -2
So the factored form will be
2·x^3 + 5·x^2 - 8·x - 20 = 2·(x - 2)·(x + 2)·(x + 2.5)
Answer:
2·x^3 + 5·x^2 - 8·x - 20 = 0
You see that the term will be 0 for x = 2
(2·x^3 + 5·x^2 - 8·x - 20) / (x - 2) = 2·x^2 + 9·x + 10 = 0
You can use the abc-formula to solve the quadratic equation.
x = -2.5 ∨ x = -2
So the factored form will be
2·x^3 + 5·x^2 - 8·x - 20 = 2·(x - 2)·(x + 2)·(x + 2.5)
select true statements. (-10x^(2)+5x+3)/(2x^(2)+4)
Answers are
The numerator has 3 terms
The denominator includes a coefficient of 4
The denominator includes a coefficient of 2
The numerator has 2 terms
The numerator includes a coefficient of 3
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- The numerator has 3 terms:
the first term is:-10x^2
the second term is: 5x
the third term is: 3
- The denominator includes a coefficient of 4:
2x^2+4
- The denominator includes a coefficient of 2:
2x^2+4
- The numerator includes a coefficient of 3:
-10x^2+5x+3
Answer: True statements:: The numerator has 3 terms; The denominator includes a coefficient of 2.
Step-by-step explanation:
Eve is replacing the soil in her plant containers. How many cubic inches of soil will Eve need for the two rectangular containers?
A.45
B.216
C.648
D.864
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If the total income generated from gasoline for AER was $408 million how much would be the cost for a barrel of gasoline, gasoline 34% kerosene 14% 60 million barrels total production crude oil
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($408·10^6)/(60·10^6 bbl × 0.34) = $408/(20.4 bbl) = $20/bbl
The income from one barrel of gasoline is $20.00.
The correct answer is: $20
Explanation:
As we are interested in finding the cost for a barrel of gasoline, we need to read the percentage of gasoline from the pie-chart first—which is 34%.
Now number of barrels containing gasoline = 34% of 60 million barrels = [tex] \frac{34}{100} * 60 = 20.4 [/tex] million barrels
For all the barrels, the total income is $408 million; therefore, in order to find the per-barrel cost, we need to divide $408 by 20.4:
[tex] \frac{408}{20.4} = \$20 [/tex]
Hence the correct answer is $20.
Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.
–6
132/33
–5
6
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an = a0 + d(n-1)
if we use the two terms given, setting a12 as starting term and a45 as the end term an.
170 = 38 + 33d
170 - 38 = 33d
132 = 33d
132/33 = d
This is the common difference, use it to find the first term.
38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0
The starting term is -6
The solution is: The starting term is -6
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Standard formula for arithmetic sequence:
an = a0 + d(n-1)
if we use the two terms given, setting a12 as starting term and a45 as the end term an.
170 = 38 + 33d
170 - 38 = 33d
132 = 33d
132/33 = d
This is the common difference, use it to find the first term.
38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0
The starting term is -6
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What is the probability of flipping a coin and it coming up heads four times in a row
Answers
[tex]P_1 (head) = \frac{1}{2} [/tex]
For 2 tosses in a row, the probability that the result is head in both tosses is
[tex]P_2 = P_1 \cdot P_1 = ( \frac{1}{2} )( \frac{1}{2} )= \frac{1}{4} [/tex]
If we continue, we find that the probability to have 4 heads in 4 consecutive tosses is given by
[tex]P_4 = ( P_1 (head) )^4 = ( \frac{1}{2} )^4 = \frac{1}{16} [/tex]
use similar triangles to solve. a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow. the person's Shadow is 14 ft in length what is the height of the tree
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(x / 154) = (5/14)
Clearing the value of x we have:
x = (5/14) * (154)
Rewriting we have:
x = 55 feet
Answer:
the height of the tree is:
x = 55 feet
Heights: x 5 feet
Base Lengths: 154 feet 14 feet
14x = 770
14 14
x = 55 feet
The height of the tree is 55 feet.
helppppp picture included
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but what are the drop down answers?
priority question
The dot plots below show the test scores of sixth- and seventh-grade students: Dot plot for Grade 6 shows 6 dots on score 70, 4 dots on score 80, 6 dots on score 90, and 4 dots on score 100. Dot plot for Grade 7 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80. Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? Grade 6 Grade 7 Both groups show about the same mean score. No conclusion about mean score can be made from the data.
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7 | x x x x x x
8 | x x x x
9 |x x x x x x
A | x x x x . . . . . . . . where "A" is used to represent 10 tens (100)
7th grade:
5 | x x x x x
6 | x x x x x x x
7 | x x x x
8 | x x x x
The range (low, high) and median of the 6th grade scores are all higher than those of the 7th grade scores.
Based on visual inspection, Grade 6 appears to have the higher mean score.
Answer:
Grade 6 i think
A bag contains 7 blue, 12 red, and 6 orange marbles. Find each probability if you draw one marble at random from the bag. Write as a fraction. a) P (purple)
b) P (red or orange) Please
c)P(not blue) Help
Answers
Purple = 0
Red = 12/25
Orange = 6/25
Blue = 7/25
a. Since there is 0 purple, the answer is 0.
b. 18/25 ( 12/25 + 6/25)
c. 18/25 (Not blue = 25 - 7 = 18)
Hope this helped☺☺
Find f. f ''(x) = 4 + 6x + 36x2, f(0) = 2, f (1) = 10
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4 + 6x + 36x^2= 2*(2+3x+18x^2)
Integrate 2+3x+18x^2 to get 2x+3/2x^2+18/3x^3 +C = 2x +3/2x^2+6x^3 + C
Integrate again now this: 2x +3/2x^2+6x^3 + C to get x^2 + 1/2x^3+3/2x^4 +Cx +D
Now multiply by two (as I have taken out 2 earlier)
2x^2+x^3+3x^4+2Cx+D
Now use the initial conditions.
f(0)=2
D=2
f(1)=10
2+1+3+2C+2=10
C=1
So the solution is: (ordered by power, as neat mathematicans would do)
f(x)= 3x^4 + x^3 + 2x^2 + 2x +2
The function [tex]\( f(x) \)[/tex] is: [tex]\[ f(x) = 2x^2 + x^3 + 3x^4 + 5x + 4 \][/tex]
Given:
[tex]\[ f''(x) = 4 + 6x + 36x^2 \][/tex]
[tex]\[ f(0) = 2 \][/tex]
[tex]\[ f(1) = 10 \][/tex]
1. Integrate [tex]\( f''(x) \)[/tex] to find [tex]\( f'(x) \)[/tex]:
[tex]\[ f'(x) = \int (4 + 6x + 36x^2) \, dx = 4x + 3x^2 + 12x^3 + C_1 \][/tex]
2. Integrate [tex]\( f'(x) \)[/tex] to find [tex]\( f(x) \)[/tex]:
[tex]\[ f(x) = \int (4x + 3x^2 + 12x^3 + C_1) \, dx = 2x^2 + x^3 + 3x^4 + C_1x + C_2 \][/tex]
3. Use the initial condition [tex]\( f(0) = 2 \)[/tex] to find [tex]\( C_2 \)[/tex]:
[tex]\[ 2x^2 + x^3 + 3x^4 + C_1x + C_2 \text{ at } x=0 \][/tex]
[tex]\[ 2 = C_2 \][/tex]
[tex]\[ C_2 = 2 \][/tex]
4. Use the initial condition [tex]\( f(1) = 10 \)[/tex] to find [tex]\( C_1 \)[/tex]:
[tex]\[ f(1) = 2(1)^2 + (1)^3 + 3(1)^4 + C_1(1) + 2 = 10 \][/tex]
[tex]\[ 2 + 1 + 3 + C_1 + 2 = 10 \][/tex]
[tex]\[ 8 + C_1 = 10 \][/tex]
[tex]\[ C_1 = 2 \][/tex]
Thus, the function [tex]\( f(x) \)[/tex] is:
[tex]\[ f(x) = 2x^2 + x^3 + 3x^4 + 5x + 4 \][/tex]
The complete question is:
Find f(x). f ''(x) = 4 + 6x + 36x2, f(0) = 2, f (1) = 10
The dance committee has a budget of $125 to decorate the gym for the spring dance. They have already spent $65. Some members want to buy helium balloons that cost $0.80 each. Write and solve an inequality to show the number of balloons that the dance committee could buy
Answers
125 - 65 = 60
Now to find the amount of balloons:
0.8n = 60
Divide:
n = 75
The dance committee can buy 75 balloons
The dance committee could buy up to 75 helium balloons with their remaining budget of $60, after already spending $65 from their total budget of $125.
To determine the number of helium balloons that the dance committee could buy with their remaining budget, we first need to calculate how much money they have left after already spending $65. Since their total budget is $125, the remaining budget is calculated as $125 - $65 = $60.
Let's let b represent the number of balloons they can buy. The cost per balloon is $0.80, so the inequality representing the situation is 0.80b \<= 60. To solve for b, we divide both sides of the inequality by 0.80, which gives us b \<= 60 / 0.80, or b \<= 75.
Therefore, the dance committee could buy up to 75 helium balloons with their remaining budget, staying within their financial limitations.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
PLEASE HELP ASAP!! NEED NOW! THANKS!
Answers
y=-4/3x+300 i hope this helps you
you have a part-time job that pays $4.75 an hour with tips allergy $4 and fifty an hour your deductions are fic a 7.65% federal tax withholding 12.5% in state tax withholding 6.85 % you work 20 hours per week you want to save $40 a week how much left in your discretionary income per week soon that all the income from your part time job is discretionary and the next one is
You decide to save 15% of your realized income how much do you save per month?
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Toysrus is having a 38% off sale. If a backpack normally costs $22, how much will it cost on sale
Answers
The backpack will cost $13.64 during the 38% off sale at Toysrus, calculated by subtracting the discount ($8.36) from the original price ($22).
To calculate the discount amount, we multiply the original price by the discount percentage:
$22 * 0.38 = $8.36
Now, to get the sale price, we subtract the discount amount from the original price:
$22 - $8.36 = $13.64
Therefore, the backpack will cost $13.64 on sale.
REALY NEED HELP Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (4,8) and (3,5)
Answers
A (4,8) and B (3,5)
step 1
find the slope m
m=(y2-y1)/(x2-x1)---------> m=(5-8)/(3-4)----> m=-3/-1----> m=3
step 2
with m=3 and point B (3,5) find the equation of the line
y-y1=m*(x-x1)-----> y-5=3*(x-3)----> y-5=3x-9----> 3x-y=4
the answer is
the equation in the form Ax+By=C is
3x-y=4
see the attached figure
if 7 out of 8 people use crust toothpaste, how many use this product in a city with a population of 40,000?
Answers
This is a function whose domain is a set of consecutive integers. They are finite and infinite.
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[tex]z = \{...,-3, -2, -1, 0, +1, +2, +3,...\}[/tex]
If the function is finite, then there are two values [tex]a[/tex] and [tex]b[/tex], being [tex]a\ \textless \ b[/tex], in which this function is valid, then:
[tex]f(x) = x[/tex]
being [tex]x [/tex] the set of integers in the interval defined by [tex](a,b)[/tex]
If the function is infinite, the function is valid in the set of all integers then:
[tex]f(x) = x[/tex]
And -∞[tex]<x<[/tex]+∞
Answer:
the answer is sequence (usa test prep)
Step-by-step explanation:
5.6 times what equals 19.04
Answers
Suppose a population proportion is .40, and 80% of the time when you draw a random sample from this population you get a sample proportion of .35 or more. how large a sample were you taking?
Answers
Final answer:
To determine the sample size needed, use the formula for sample proportion: n = (z * sqrt(p * q)) / E. Plugging in the given values, the minimum sample size required is 178.
Explanation:
To determine the sample size needed, we can use the formula for sample proportion:
n = (z * sqrt(p * q)) / E
Where:
n is the sample size
z is the z-value corresponding to the desired confidence level (in this case, 80%)
p is the population proportion (0.4)
q is 1 - p
E is the maximum allowable error (0.05)
Plugging in the values, we have:
n = (z * sqrt(p * q)) / E = (0.84 * sqrt(0.4 * (1 - 0.4))) / 0.05 ≈ 177.6
Since we cannot have a fractional number of individuals, we round up to the next whole number. Therefore, we would need a minimum sample size of 178 to be 80% confident that the population proportion is estimated to within 0.05.
If output per worker is now nearly $120,000 per year, how much will the average worker produce 5 years from now if productivity improves by (use the compounding formula below to answer the question): fv1 = p(1 + r), fv2 = p(1 + r)(1 + r), fv3 = p(1 + r)(1 + r)(1 + r)… instructions: enter your responses rounded to two decimal places. (a) 2 percent per year? $ (b) 3 percent per year? $
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PLEASE HELP!!! REWRITE THE FOLLOWING LINEAR EQUATION IN SLOPE INTERCEPT FORM??
Answers
y+4=-2(x-1)
y+4=-2x+2
y(-4)=-2x+2(-4)
y=-2x-2
The home of Russell Slater is assessed at $140,000. The tax rate is 11.8 mills. The actual amount of tax on Russell's home is:
$1,652
$1,462
$1,362
None of these
$1,562