Final answer:
The ratio of the volumes of the modified cylinder (height doubled and radius cut to one third) to the original cylinder is 2:9.
Explanation:
To find the ratio of the volumes of the modified cylinder to the original cylinder, we need to use the formula V = πr²h.
Let the original radius be 'r' and the original height be 'h'. The volume of the original cylinder V1 is given by:
V1 = πr²h
After doubling the height and cutting the radius to one third, the new radius is 'r/3' and the new height is '2h'. The volume of the modified cylinder V2 is:
V2 = π(r/3)²(2h) = π(r²/9)(2h) = (2/9)πr²h
The ratio of the volumes is then:
Volume Ratio (V2/V1) = (2/9)πr²h / πr²h = 2/9
So, the ratio of the volumes of the modified cylinder to the original cylinder is 2:9.
Mrs. Chin paid a 20 percent tip on the bill for lunch. If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
Why is 3 + (−5) equal to −2?
since the 5 is a negative you are actually subtracting it from 3
so 3 +(-5) is actually 3-5. which = -2
Answer:
-2
Step-by-step explanation:
pls mark me brainlyest
A mother bottlenose ate about 278 pounds of food in one week. About how much food did she eat in a day?
combine like terms
2x+3y+9x-9y-5x+12y
Answer:
6x+6y
Step-by-step explanation:
Hope I get it correct
If f(x) = 3x + 10x and g(x) = 2x – 4, find (f – g)(x).
Final answer:
To find (f - g)(x), subtract the function g(x) from f(x) by expanding and combining like terms.
Explanation:
To find (f - g)(x), we need to subtract the function g(x) from f(x). The given functions are f(x) = 3x + 10x and g(x) = 2x - 4. Let's subtract g(x) from f(x):
(f - g)(x) = (3x + 10x) - (2x - 4)
Expanding the expression, we get:
(f - g)(x) = 3x + 10x - 2x + 4
Combining like terms, we simplify it to:
(f - g)(x) = 11x + 4
Consecutive terms are __________________. A. even B. terms that are next to each other C. terms added together D. the Fibonacci sequence
the three digit number 49x is divisible by 4 with no remainders. if the sum of the digits is divisible by 5 with no remainders, what is the number
Xavier is two years more than twice as old as Yoko. The sum of their ages is 86. How old is Xavier?
what is 24 2/3 divided by 1 3/4
Answer:
Step-by-step explanation:
First, you should convert the mixed fractions into an improper fraction.
74/3 divided by 7/4
As you should know, any fraction divided by another is that fraction times the reciprocal of the other fraction.
74/3*4/7
There fore leaving 296/21 as the answer.
Find the missing number
How much larger is one cubic foot than one cubic inch
If the directrix of a parabola is the horizontal line y = 3, what is true of the parabola?
a)The focus is at (0, 3), and the equation for the parabola is y2 = 12x.
b)The focus is at (0, –3), and the equation for the parabola is x2 = –12y.
c)The focus is at (3, 0), and the equation for the parabola is x2 = 12y.
d)The focus is at (–3, 0), and the equation for the parabola is y2 = –12x.
Answer: on e2020 it’s b
Step-by-step explanation:
45/100 in simplest form
Dave is helping his grandmother make trail mix. His grandmother asks him to add cup of fruit for every cup of nuts.
To satisfy his grandmother’s request, Dave must mix cups of fruit for a single cup of nuts.
To satisfy his grandmother's request, Dave needs to mix [tex]\( \frac{1}{5} \)[/tex] cup of fruit for every [tex]\( \frac{1}{3} \)[/tex] cup of nuts.
To find out how many cups of fruit Dave needs to mix for a single cup of nuts, we need to find a common denominator for [tex]\( \frac{1}{5} \)[/tex] and [tex]\( \frac{1}{3} \)[/tex], which is 15.
[tex]\[ \frac{1}{5} \times \frac{3}{3} = \frac{3}{15} \][/tex]
[tex]\[ \frac{1}{3} \times \frac{5}{5} = \frac{5}{15} \][/tex]
So, Dave needs to mix [tex]\( \frac{3}{15} \)[/tex] cup of fruit for every [tex]\( \frac{5}{15} \)[/tex] cup of nuts.
Therefore, to satisfy his grandmother's request, Dave must mix [tex]\( \frac{3}{15} \)[/tex] cup of fruit for a single cup of nuts.
The complete Question is given below:
dave is helping his grandmother make trail mix his grandmother asks him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, drave must mix ___ cups of fruit for a single cup of nuts
A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the following inequalities best represents the allowable height of riders?
h > 48
h < 48
h ≥ 48
h ≤ 48
Answer: h ≥ 48
Step-by-step explanation: h ≥ 48
I just took test got it right
A soccer team played 160 games and won 65 percent of them. How many games did it win ? Please show work
The number of games won is 104.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of games = 160
Percentage of games won = 65%
Now,
The number of games won.
= 65% of 160
= 65/100 x 160
= 104
Thus,
The number of games won is 104.
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Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
The correct answer is:
(10n)² − (1)²
Explanation:
If we evaluate this expression, we square everything in the first set of parentheses; this means we have 10²n² - 1², or 100n² - 1.
This is the expression we were trying to equal.
Which decimal is equal to 4/20
What does 5 2/3 - 8 5/6 equal?
5 2/3 = 17/3 = 34/6
8 5/6 = 53/6
34/6 - 53/6 = -19/6 = -3 1/6
Which of the following sets of numbers could be the side lengths of a right triangle?
3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29
the answer is 20,21,29 because
20 times 20 is 400
21 times 21 is 441
and 29 times 29 is 841
the formula to ge tthe answer is a^2 + b^2 = c^2
20^2 + 21^2= 29^2
then plug the rest in
400+441= 841
which expression gives the distance between the points (4,6)and (7,-3)
Answer:
As shown in the image....
Step-by-step explanation:
This equation follows with the distance formula which is (x2-x1)+(y2-y1) squared.
Akshat spent 3 hours each day driving to and form work. He opened an office closer to home and now drives 80 minutes to and form work. What is the percent of decrease in his commute time?
3*60 = 180 minutes
80/180 = 0.44
1-0.44 = 0.56
it was a 56% decrease in commute time
write and expression with an exponent that has a value between 0 and 1
Estimate the circumference of the circle to the nearest hundredth. Use 3.14 the diameter is 11
The circumference of a circle with a diameter of 11 using 3.14 for pi is estimated to be 34.54 to the nearest hundredth.
Explanation:To estimate the circumference of a circle to the nearest hundredth, we use the formula C = πd, where C is the circumference and d is the diameter of the circle. Given that the diameter is 11 and we should use 3.14 for π, the calculation is C = 3.14 × 11. Performing the multiplication gives us a result of 34.54, which is the estimated circumference of the circle to the nearest hundredth.
need the graphs diagram and answers thanks
y intercept = (0,11)
line of symmetry = x = -3
Identify each expression as a monomial, binomial, trinomial, or none of the above.
1) 24x²y
2) 9q + 4q/5p - 3p²
Every day, the number of network blackouts has a distribution (probability mass function)
x | 0 | 1 | 2
P(x)| 0.7| 0.2| 0.1
A small internet trading company estimates that each network blackout results in a $500
loss. Compute expectation and variance of this company’s daily loss due to blackouts.
I computed this E(x)= .4 , varX= .44, but I don't know how i can find the answer?
The answer is
E(Y ) = 200 dollars,
Var(Y ) = 110, 000 squared dollars.
The expected daily loss of the company due to blackouts, E(Y), can be calculated by multiplying each possible loss (which is the number of blackouts times 500) by the probability of that loss occurring, and summing these products. The variance, Var(Y), is found by first finding the expected value of the square of the loss, E(Y^2), which is done in a similar way to finding E(Y), but by squaring each loss before multiplying by its probability. The variance is then given by E(Y^2) - [E(Y)]^2, resulting in a variance of $110,000.
Explanation:The expectation (or mean) of a random variable Y can be computed by multiplying each outcome by its probability and summing all these products. The random variable Y here is the daily loss corresponding to x blackouts, which is given by 500*x, where x is the number of blackouts. Hence to find the expected daily loss, E(Y), you need to calculate:
E(Y) = 0*0.7 + 1*500*0.2 + 2*500*0.1 = $200
The variance of a random variable is found by taking the expected value of the squared variation of that variable from its mean. In this case, you'll calculate:
Var(Y) = E(Y^2) - [E(Y)]^2.
To find E(Y^2), you'll calculate:
E(Y^2) = 0*0.7 + (1*500)^2*0.2 + (2*500)^2*0.1
Substitute E(Y) and E(Y^2) into the variance formulas to get Var(Y) = 110,000.
So, the expectation and variance of the company's daily loss due to blackouts are $200 and $110,000 respectively.
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Which equation can be used to find x,the length of the hypotenuse of the right triangle
Answer:
[tex]x^{2}=24^{2}+18^{2}[/tex]
Step-by-step explanation:
we know that
The Pythagoras Theorem states that in a right triangle
[tex]c^{2}=a^{2}+b^{2}[/tex]
where
c is the hypotenuse
a,b are the legs of the right triangle
In this problem we have
[tex]a=24\ units, b=18\ units, c=x\ units[/tex]
substitute
[tex]x^{2}=24^{2}+18^{2}[/tex]
Latoya drove 585 miles in 9 hours.
At the same rate, how many miles would she drive in 5 hours?
585/9 = 65 miles per hour
65 x 5 = 325 miles
she would drive 325 miles in 5 hours
During one day on the stock market, an investor lost $2500 on one stock, but gained $1700 on another. At the end of trading that day, the investor's holdings were worth $52500. What were they worth when the market closed that day?