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.. = 12 m^3
Related Questions
Two secant segments intersect outside a circle as shown. What is the value of x?
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Thanks Darriennichole
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 cubic units what is the height of the cylinder
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.. V = π*r^2*h
.. 24 = π*(h/3)^2*h
.. 24 = π/9*h^3
.. 9*24/π = h^3
.. ∛(216/π) = h
.. h = (6/π)√(π^2) ≈ 4.097 . . . . units
The height of the cylinder is about 4.097 units.
the answer is c.6 i just took the test.
if f(x) = 5x^3-2 and g(x)= 2x+1, find (f+g) (x).
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To start, whenever you are performing (f+g)(x), this means that you are to add the functions f(x) and g(x) together.
In this case, f(x) is equal to 5x^3-2 and g(x) is equal to 2x+1.
Because you are adding the two expressions as according (f+g)(x), you should set up this expression:
(5x^3-2)(2x+1)
Now, combine your like terms (terms of the same variables that are all raised to the same power):
(5x^3-2)(2x+1)
=5x^3+2x-1
Therefore, (f+g)(x)=5x^3+2x-1
Hope this helps and I hope you have a marvelous day! :)
The expression for (f + g)(x) is [tex]\rm 5x^3+2x-1[/tex] and this can be determined by using the arithmetic operations and the given data.
Given :
[tex]\rm f(x) = 5x^3-2[/tex][tex]\rm g(x) = 2x + 1[/tex]The following steps can be used in order to determine the value of (f + g)(x):
Step 1 - Write the given functions.
[tex]\rm f(x) = 5x^3-2[/tex] --- (1)
[tex]\rm g(x) = 2x + 1[/tex] --- (2)
Step 2 - Now, to determine the value of (f + g)(x), add both function f(x) and g(x).
f(x) + g(x) = (f + g)(x)
Step 3 - Substitute the value of f(x) and g(x) in the above expression.
[tex]\rm (f + g)(x) = 5x^3-2+2x+1[/tex]
Step 4 - Simplify the above expression.
[tex]\rm (f + g)(x) = 5x^3+2x-1[/tex]
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What set of reflections would carry triangle ABC onto itself?
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which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9
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[tex]x^2+2x-8=(x+4)(x-2)[/tex]
In the denominator we have a difference of squares:
[tex]x^2-9=x^2-3^2=(x+3)(x-3)[/tex]
Now we can rewrite our function:
[tex]y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)} [/tex]
From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at [tex]x=3[/tex] and [tex]x-3[/tex]
We can conclude that the graphic of our rational function is:
Consider a game in which a coin will be flipped three times. for each heads you will be paid $100. assume that the coin comes up heads with probability 4/5.
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What are the solutions to the equation? x2−12x+36=4 Enter your answers in the boxes. x1= x2=
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Answer:
4 and 8
Step-by-step explanation:
x1 = 4
x2 = 8
Hudson worked two jobs last summer to start saving for a car. He mowed lawns during the day and worked at a pizza place in the evenings. In one month, Hudson earned a total of $1,400. If he earned $360 more at the pizza place than mowing lawns how much did he earn at each job?
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hope this helps!
Hudson earned $880 at pizza deliveries and $520 at mowing the lawn.
What is a system of linear equation?A System of Linear Equations is when we have two or more linear equations working together.
Given that, Hudson mowed lawns during the day and worked at a pizza place in the evenings. Hudson earned a total of $1,400. also he earned $360 more at the pizza place than mowing lawns
Let he earn x at deliveries and y at mowing,
Therefore, establishing a system of equations,
x+y = 1400
x-y = 360
Adding both the equations,
2x = 1760
x = 880
y = 1400-880
y = 520
Hence, Hudson earned $880 at pizza deliveries and $520 at mowing the lawn.
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The ratio of boys to girls at the beach cleanup was 7:8. If there are 42 boys, how many girls are there?
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that ratio means for every 7 boys there are 8 girls
so 42 boys / 7 = 6
now 6*8 = 48
there are 48 girls
Which graph correctly solves the system of equations below? x2 + y2 = 25 y = x + 1
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x2 + y2 = 25
y = x + 1
using a graph tool
see the attached figure
the solution are the points (3,4) and (-4,-3)
x2 + y2 = 25
It is a circle of radius r = 5 units.
y = x + 1
It is a line of positive slope.
The solution is the cut points of both graphs.
Attached graphic and analytical solution.
Which relation defined by a set of ordered pairs is a function?
A {(2, 6), (3, 6), (4, 5), (6, 6), (6, 7)}
B {(6, 2), (6, 3), (5, 4), (6, 6), (7, 6)}
C {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}
D {(–2, 6), (3, –6), (–4, 5), (6, –6), (6, –7)}
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Answer:
Step-by-step explanation:
I need help please I’m confused
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Ming says that 0.24 > 14 because 0.24 = 24. Which best explains Ming's error?
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Answer:
Ming says that 0.24 > 14
1
4
because 0.24 = 24
2
4
. Which best explains Ming's error?
Step-by-step explanation:
How many three-letter codes can we make using only vowels, a, e, i, o, or u?
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Answer: 125 codes
Answer and explanation:
Given : Vowels a,e,i,o or u.
To find : How many three-letter codes can we make using only vowels ?
Solution :
1) If we assume that repetition is allowed then
The three letter code can form
[tex]5\times 5\times 5=125[/tex] ways
Number of three-letter codes can we make using only vowels is 125.
2) If we assume that repetition is not allowed then
The three letter code can form
[tex]5\times 4\times 3=60[/tex] ways
Number of three-letter codes can we make using only vowels is 60.
A basketball player makes 60% of his shots from the free throw line. suppose that each of his shots can be considered independent and that he throws 4 shots. let x = the number of shots that he makes. what is the probability that he makes all 4 shots?
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Using the binomial distribution, it is found that there is a 0.1296 = 12.96% probability that he makes all 4 shots.
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For each throw, the player either makes it or misses it. The probability of making each throw is the same, independent of other throws, thus, the binomial distribution is used to solve this question.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, with X having two possible outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of a success on a single trial.
Makes 60% of the shots, thus [tex]p = 0.6[/tex]4 shots, thus [tex]n = 4[/tex].The probability of making all of them is P(X = 4), thus:[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.6)^{4}.(0.4)^{0} = 0.1296[/tex]
0.1296 = 12.96% probability that he makes all 4 shots.
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The game called lotto sponsored by the louisiana lottery commission pays its largest prize when a contestant matches all 4 of the 41 possible numbers. assume there are 41 ping-pong balls each with a single number between 1 and 41. any number appears only once, and the winning balls are selected without replacement.
a. the commission reports that the probability of matching all the numbers are 1 in 101,270. what is this in terms of probability
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[the probability of matching all the numbers]=1/101270
[the probability of matching all the numbers]=0.00000987-------> (0.000987%)
the answer is
1 in 101,270-------> means that the probability is 0.00000987
Final answer:
The reported probability of 1 in 101,270 for matching all four lotto numbers is equivalent to a decimal probability of approximately 0.00000987.
Explanation:
The Louisiana Lottery Commission's lotto game entails participants matching all 4 numbers out of a pool of 41. The reported probability of achieving this feat is 1 in 101,270. To express this probability, we utilize the ratio of successful outcomes to total possible outcomes. Consequently, the probability of matching all four numbers is 1/101,270, equivalent to approximately 0.00000987 in decimal form. This minute probability underscores the challenging nature of the lotto game, highlighting the rarity of successfully predicting and matching the specified set of numbers within the given range.
The population of a small town decreased from 983 to 901. What is the percent decrease, to the nearest tenth of a percent?
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Well first there's 82 less ppl
That would be 82/100 so .82
And mutlypy by 100% is 8.20 so it's 8%
Have a nice day
The population of the small town percent decreased by approximately 8.4%.
To find the percent decrease in the population of the small town, we can use the formula for percent decrease:
Percent Decrease = [(Initial Value - Final Value) / Initial Value] * 100
Given that the initial population was 983 and the final population was 901, we can plug these values into the formula:
Percent Decrease = [(983 - 901) / 983] * 100
Now, calculate the numerator:
Percent Decrease = [82 / 983] * 100
Divide and multiply:
Percent Decrease = 0.0835 * 100
Now, calculate the percent decrease to the nearest tenth of a percent:
Percent Decrease ≈ 8.4%
So, the population of the small town decreased by approximately 8.4%.
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At a concession stand, one person purchased 3 drinks and 3 soft pretzels for a total of $9.00. Another person purchased 4 drinks and 2 soft pretzels for a total of 8.50. What was the price of one soft pretzel
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x: price in $ for each drink
y: price in $ for each soft pretzel.
We write the system of equations:
3x + 3y = 9
4x + 2y = 8.50
We solve the system:
x = 1.25 $
y = 1.75 $
(See attached image)
Answer:
The price of one soft pretzel is:
y = 1.75 $
Two years ago Carol's living expenses were $ 1200 $ 1200 per month. This year the same items cost Carol $ 1400 $ 1400 per month. What was the annual inflation rate for the past two years?
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= ((200 / 1200) x 100) / 2
= 8.33%
2 years ago - consumer price index 1,200 per month
current year - consumer price index 1,400 per month
Inflation rate = [(Consumer price index current - Consumer price index previous) / Consumer price index previous ] * 100%
Inflation rate = [(1400 - 1200) / 1200] * 100% = (200 / 1200) * 100% = 16.67%
Since 2 years has passed, the 16.67% inflation rate is good for 2 years. We simply divide the inflation rate by 2 to get the annual inflation rate.
16.66% / 2 = 8.33%
The annual inflation rate for the past two years is 8.33%
The volume of a rectangular prism is (x3-3x2+5x-3), and the area of its base is (x -2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
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To find the height of the rectangular prism, divide the volume by the area of the base.
Explanation:To find the height of the rectangular prism, we need to divide the volume by the area of the base. The formula for the volume of a rectangular prism is V = lwh, where l, w, and h represent the length, width, and height, respectively. The formula for the area of the base is A = lw.
In this case, the volume is given as (x3-3x2+5x-3) and the area of the base is (x -2). So, we need to divide the volume by the area of the base, which gives us:
(x3-3x2+5x-3)/(x -2).
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IF YOU ANSWER WITHOUT A PROPER ANSWER AND YOU JUST WANT POINTS YOUR ANSWER WILL BE REPORTED! 99 POINT QUESTION! So I want a full explanation, best answer gets to be the brainliest. How much is 457 - (-54) + 7700 * 325 = ? I feel generous today so I'm making this 99 points. Btw, this is my first question asked here on brainly.
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457 + 54 + 7700 * 325 = x
So then you multiply 7700* 325 which would be 2502500
Then it is 457 + 54 + 2502500
So , 457 + 54 = 511
And 511 + 2502500 = 2503011
Did this help ?
So for this question you have to use PEMDAS, in other words, order of operations. PEMDAS means you have to do parentheses first, then exponents, then multiplication and division, and them addition and subtraction.
You have to to start with the multiplication first since that is what comes first in this question.
457 - (-54) + 7700 * 325 turns into
457 - (-54) + 2502500
Afterwards you continue with addition and subtraction.
So, 457 - (-54) + 2502500 turns into
511+2502500
The reason 457 - (-54) equaled 511 is because negatives cancelled out and became a addition sign.
You finish off by 511+2502500
Your final answer would be 2503011
How do you solve 7(2-j)-5??
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You can simplify the expression by making use of the distributive property and collecting like terms.
.. 7(2 -j) -5
.. = 7*2 -7*j -5
.. = 14 -7j -5
.. = 9 -7j
Please help me with questions 26 and 27
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This is the horizontal line that cuts the figure into two congruent pieces.
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27) Answer is choice A: AB = 24 and DE = 12
CA/DF = 12/6 = 2
CB/FE = 20/10 = 2
The ratio of the larger to smaller corresponding sides is 2:1 or just 2
So AB needs to be twice as long as DE
That only happens with choice A
The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches. What are the length and width of the rectangle? A. length = 20 inches, width = 17 inches B. length = 17 inches, width = 14 inches C. length = 10 inches, width = 7 inches D. length = 34 inches, width = 10 inches
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To find the length and width of a rectangle given its area and the relationship between its dimensions, set up and solve an equation by following the step-by-step process.
Explanation:Given: The width of a rectangle is 3 inches less than its length and the area is 340 square inches.
To solve: Let the length be 'x' inches, then the width is 'x - 3' inches. Set up the equation 'x(x - 3) = 340', solve for 'x' to find the length and width.
Step-by-step:
Express the area as a product of the length and width: 'x(x - 3) = 340'.Expand and rearrange the equation: 'x^2 - 3x - 340 = 0'.Factor the quadratic equation: '(x + 17)(x - 20) = 0'.Solve for 'x': 'x = -17' or 'x = 20'. Since length cannot be negative, the length is 20 inches.Calculate the width: '20 - 3 = 17 inches'.EXPERTS/ACE/GENIUSES HELP PLZ!!:)
( only #2 )
Explain as well!! Best answer will get brainlist... but make ur answer short and sweet plz.
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(a) Volume of 1st cup = (1/3)pi *(4/2)^2 * 8 = 32/3 pi in^3
scoops = (2000/3)pi / ( 32/3) pi = 2000/32 = 62.5 = 63
(b) Volume of 2nd cup = (1/3)pi *(8/2)^2 * 8 = 128/3 pi in^3
scoops = (2000/3)pi / ( 128/3) pi = 2000/128 = 15.625 = 16
what is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6
a. -6
b. 7
c. x+2
d. 2x-3
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Final answer:
The greatest common factor (GCF) of the numerator and denominator in the rational expression (7x+14)/(2x²+x-6) is x+2. Thus, option C is correct.
Explanation:
To find the greatest common factor (GCF) of the numerator and denominator of the given rational expression (7x+14)/(2x²+x-6), we need to factor both the numerator and the denominator separately.
For the numerator 7x+14, we can factor out a 7:
7x + 14 = 7(x + 2)
For the denominator 2x² + x - 6, we need to factor it as a quadratic expression. This can be done by finding two numbers that multiply to give -12 (the product of the coefficient of x² and the constant term) and add up to 1 (the coefficient of x). These numbers are 3 and -4, so the denominator can be factored as:
2x² + x - 6 = (2x - 3)(x + 2)
Now we can see that the common factor between the numerator and the denominator is x + 2. Therefore, the GCF is x + 2, which corresponds to option (c).
Make a box-and-whisker plot for the data. What is the upper quartile value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
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Answer:
Step-by-step explanation:
The given data is:
56 32 48 52 51 53 48 38 35 42 40 46 54 50
In order to get the value of the upper quartile, first arrange he given data in ascending form, we get
32, 35, 38, 40, 42, 46, 48, 48, 50, 52, 53, 54, 56
The upper quartile is:48, 50, 52, 53, 54, 56
The value of upper quartile is given as:
[tex]\frac{52+53}{2}[/tex]
=[tex]\frac{105}{2}[/tex]
=[tex]52.5[/tex]
Thus, the value of the upper quartile will be 52.5.
The cost for a pack of 4 padlocks is $17.60 . Find the unit price in dollars per padlock. If necessary, round your answer to the nearest cent.
Answers
Answer:
18.00
Step-by-step explanation:
60+40=100
Diameter of a cylindrical tank is 9 feet and the height of a tank is 25 feet. Find the approximate volume of the cylindrical tank to the nearest hundredth place
C. 1,589.63 cubic feet
D. 2,325.26 cubic feet
E. 6,358.50 cubic feet
F. 3,489.27 cubic feet.
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.. V = π*r^2*h
.. = π*(4.5 ft)^2*(25 ft)
.. ≈ 1590.43 ft^3
The closest choice is C 1589.63 ft^3.
_____
Apparently, someone used the 3-digit approximation 3.14 for π to compute a 6-digit result. That is why it is wrong in the last 3 digits.
How many numbers must be selected from the set $\{1, 3, 5, 7, 9, 11, 13, 15\}$ to guarantee that at least one pair of these numbers add up to 16?
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1+15=16
3+13=16
5+11=16
7+9= 16