Answers
Answer:
Volume of cylinder = 192π inch³
Step-by-step explanation:
Given:
Diameter of base = 8 inch
Length of cylinder = 12 inch
Find:
Volume of cylinder
Computation:
Radius of cylinder = Diameter of base / 2
Radius of cylinder = 8 / 2
Radius of cylinder = 4 inch
Volume of cylinder = πr²h
Volume of cylinder = π(4)²(12)
Volume of cylinder = π(16)(12)
Volume of cylinder = 192π inch³
Related Questions
A text message plan costs $2 per month plus $0.49 per text. Find the monthly cost for x text messages.
The monthly cost of x messages is
dollars.
(Use integers or decimals for any numbers in the expression.)
Answers
9514 1404 393
Answer:
2 + 0.49x
Step-by-step explanation:
The total monthly cost is the sum of the fixed cost ($2) and the message charges ($0.49 × number of messages).
The monthly cost of x messages is 2+0.49x dollars.
A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased.
Answers
9514 1404 393
Answer:
$250 +HST (HST is undefined here)
Step-by-step explanation:
It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.
The walkway is 12 yards long and 1 yard wide, so will require 12 pads.
The total volume of concrete required for the walkway is ...
(12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³
Only whole cubic yards can be purchased, so 2 are needed.
The cost is ...
($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway
__
The HST rate is not given here, so we cannot compute the amount of added tax.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answers
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
Hello, here's the question :D
"Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n."
Answers
Answer:
(examples) n = 2
n = 3
n = 4
Step-by-step explanation:
to demonstrate, all you do is select a number to represent 'n' and plug it in.
so for example, n = 2:
2(2) + 3(2) = 5(2)
4 + 6 = 10, which is true.
Doug's dog food company wants to impress the public with the magnitude of the company's growth. Sales of Doug's dog food had DOUBLED from 2017 to 2018, so the company displayed the following graph, in which the radius of the base and the height of the 2018 can are double those of the 2017 can.
what does the graph show with respect to the growth of the company? (Hint: the volume of a cylinder is given by V= π r^2h, where r is the radius of the base and h is the height ).
Answers
Answer:
2018 =2(2017)
Step-by-step explanation:
2018 = 2(πr²h)
PLZ HELP | apply the distributive property to create an equivalent expression
1/4(6e−3f−3/4)
Answers
Answer: [tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Step-by-step explanation: Everything in the parenthesis has to be multiplied by one fourth so we can do something like this: [tex](\frac{1}{4} )(6e)-(\frac{1}{4} )(3f)-(\frac{1}{4} )((\frac{3}{4} )[/tex]
That's distrubiting the one fourth into all of them
Now we simplify
[tex]\frac{3}{2} e-\frac{3}{4} f-\frac{3}{16}[/tex]
Zero ∉ {whole numbers} True or False?
Answers
Step-by-step explanation:
thats true
12
There are 81 counters in a bag.
32 of the counters are green.
The rest of the counters are orange.
One of the counters is taken at random.
Find the probability that the counter is orange.
helpppp pls
Answers
Answer:
49
81
Step-by-step explanation:
Probability = number of possible outcome.
number of total outcome.
= orange counters = 81 - 32 = 49
49
81
Five times the sum of twice a number and 12 is -55. Find the number
Answers
10x + 15 = 15
10x= 0
Suppose you have a score that puts you 1.1 standard deviations below the mean. What is your percentile score?
Answers
Answer:
200000%
Step-by-step explanation:
.
1. The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of 100. What percentage of GMAT scores are 647 or higher
Answers
Answer:
16% of GMAT scores are 647 or higher.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average GMAT score is 547 (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of 100.
This means that [tex]\mu = 547, \sigma = 100[/tex]
What percentage of GMAT scores are 647 or higher?
The proportion is 1 subtracted by the p-value of Z when X = 647. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{647 - 547}{100}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16*100% = 16%
16% of GMAT scores are 647 or higher.
I need help with this question.
Answers
What is an equation of the line that passes through the point (-2, -3) and is
parallel to the line 5x + 2y =14?
Answers
Answer:
The equation of the parallel line will be y = -2.5x - 8.
Step-by-step explanation:
First things first, let's rearrange the line equation provided into a more standard form:
[tex]5x + 2y = 14[/tex]
[tex]5x - 14 = -2y[/tex]
[tex]\frac{5x - 14}{-2} = y[/tex]
[tex]y = -2.5x + 7[/tex]
Therefore, we can see that this line has a slope (the coefficient preceding x) of -2.5. The parallel line must therefore also have a slope of -2.5.
Now, let us set the y-intercept of the parallel line to be (0, a) (since it must be on the y-axis).
If we factor in all of this, we get the equation:
[tex]\frac{a-(-3)}{0-(-2)} = -2.5[/tex]
Remember, the slope is found by dividing the vertical difference with the horizontal difference.
[tex]a - (-3) = -2.5(0+2)[/tex]
[tex]a + 3 = -5[/tex]
[tex]a = -8[/tex]
Hence, the equation of the parallel line will be y = -2.5x - 8.
Hope this helped!
Fine the probability. NEED THE STEPS IF POSSIBLE.
Answers
Answer:
The probability of getting an even number on a number cube is 1/2
The probability of getting the heads on a dime is 1/2
Step-by-step explanation:
A number cube has six numbers
And three of those numbers are even numbers.
Therefore;
Probability = 3/6
= 1/2
A dime has two faces, heads and tails
One of them is heads
Therefore;
Probability = 1/2
someone help please I'm stuck and frustrated,?????
Answers
Answer:
The area of the circle in terms of π is:
9/64 π in^2Step-by-step explanation:
To find the area of that circle, you can use the equation:
Area of a circle = [tex]\pi * \frac{D^{2}}{4}[/tex]Where:
D = Diameter (3/4 in)Now, we can replace the given measurement in the equation:
Area of a circle = [tex]\pi * \frac{(\frac{3}{4}in) ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{\frac{9}{16}in ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{9}{64} in^{2}[/tex]That result is the same that to write:
Area of a circle = [tex]\frac{9}{64}\pi in^{2}[/tex]By this reason, the result is 9/64 π in^2, giving the result in terms of π.
Suppose that a dart board is given by a circle of radius 1 in R², centered at (0,0). You throw a dart at the dart board, and the position that it lands is given by a pair of random variables, (X,Y).
a. Suppose that the probability of a "Bull's Eye" is zero; that is, P(X = 0, y = 0) = 0.
b. Prove that there must be some integer n > 0 such that P (√X^2 +Y^2 > 1/2) > 0.
Answers
Answer:
Answer B
Step-by-step explanation:
một hộp đựng 11 tấm thẻ được đánh số từ 1 đến 11. tính số cách lấy ra 4 tấm thẻ từ hộp đó để tổng các số ghi trên 4 tấm thẻ ấy là một số lẻ
Answers
Answer:
16/33
Step-by-step explanation:
Tổng của cả 4 tấm thẻ là một số lẻ khi:
Có 1 thẻ là lẻ, 3 thẻ còn lại là chẵn, có: 6C1.5C3=60 cách
Có 3 thẻ là lẻ, 1 thẻ là chẵn, có: 5C1.6C3=100 cách
Suy ra có 160/11C4=16/33 cách
Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y = 3x^4 , and the lines x = 1 and x = -1 about the x-axis.
Answers
Answer:
Let's define A as the area given by the integral:
[tex]\int\limits^1_{-1} {3x^4} \, dx[/tex]
Which is the area between the curve y = 3*x^4 and the x-axis between x = -1 and x = 1
To find the volume of a revolution around the x-axis, we need to multiply the area by 2*pi (a complete revolution)
where pi = 3.14
First, let's solve the integral:
[tex]\int\limits^1_{-1} {3x^4} \, dx = \frac{3}{5}(1^5 - (-1)^5) = \frac{3*2}{5} = \frac{6}{5}[/tex]
Then the volume of the solid is just:
V = (6/5)*2*3.14 = 7.536
14.
Find the domain of
x ¹ -2 / x + 1
Answers
Answer:
?????????????????????????
HELP ASAP PLEASE!!!
Answers
Answer:
the function g because the graphs the graphs of f and g are symmetrical about the line y=x
Step-by-step explanation:
Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.
Find the perimeter of the figure.
Answers
C fo da win cuddi
Find the area
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Answers
Answer:
the answer is 84.... .....
Can y’all help me on question 15?!
Answers
Answer:
297
Step-by-step explanation:
5.5x4.5x12=297
Im Struggling i could use some help pls!!
Answers
Answer:
option4 : 0.4
Step-by-step explanation:
[tex]Sin N = \frac{Opposite}{hypotenuse}[/tex]
[tex]sin 7 = \frac{x}{3.4}\\\\3.4 \times sin 7 = x \\\\3.4 \times 0.122 = x \\x = 0.41[/tex]
Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)
Answers
Answer:
Step-by-step explanation:
Question 11
Find the volume.
Answers
Answer:
volume of the cube=15×15×15
=3375 in³
volume of the cylinder=πr²h
=π×7²×14
=686π
volume of the figure=3375+686π
the answer is first option
Rewrite as a simplified fraction .16 repeating
Answers
Answer:
1/6
Step-by-step explanation:
10x = 1.6666....
100x =16.6666...
90x = 16.6666... - 1.6666...
90x = 15
x = 15/90
x = 1/6
where is EF to the nearest tenth??
Answers
Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
What value can you add in the blank in the expression x^2 + 6x + 7 +__ to complete the
square?
Answers
Answer:
2
Proof:
x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2
The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
What is trinomial?"It is a polynomial which consists of three terms."
What is square trinomial?"A trinomial with degree 2"The general form of square trinomial is [tex]ax^{2} +bx+c[/tex] where a ≠ 0What is perfect square trinomial?"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"
For given question,
We have been given a square trinomial.
[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]
We need to find the number in the blank space, so that the given trinomial would be complete square.
Let 'm' be the required number.
So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]
Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],
we have a = 1, b = 6, c = 7 + m
We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac
⇒ b² = 4ac
⇒ 6² = 4 × 1 × (7 + m)
⇒ 36 = 4 × (7 + m)
⇒ 9 = 7 + m
⇒ m = 2
This means, we need to add 2 in the blank space.
So, the square trinomial would be,
[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]
Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
Learn more about perfect square trinomial here:
https://brainly.com/question/16615974
#SPJ2
please help me please
Answers
9514 1404 393
Answer:
payment: $960.82; interest: $203,918balance: $317,306.36; interest: $227,306.36Step-by-step explanation:
The sum of payments made n times per year for t years and earning annual interest rate r is the value of a single payment multiplied by k, where ...
k = ((1 +r/n)^(nt) -1)/(r/n)
__
Problem 1
The multiplier k is ...
k = ((1 +0.08/4)^(4·25) -1)/(0.08/4) ≈ 312.232306
Then the quarterly deposit needs to be ...
$300,000/312.232306 ≈ $960.82
The sum of the 100 quarterly payments is ...
100 × $960.82 = $96,082
So, the amount of interest earned is ...
$300,000 -96,082 = $203,918
Quarterly payments are $960.82Interest earned is $203,918__
Problem 2
The multiplier k is ...
k = ((1 +0.072/12)^(12·30) -1)/(0.072/12) ≈ 1269.22544
Then the balance resulting from monthly deposits of $250 will be ...
$250 × 1269.22544 = $317,306.36
The total of the 360 payments is $90,000, so the interest earned is ...
$317,306.36 -90,000 = $227,306.36
Account in 30 years is $317,306.36Interest earned is $227,306.36_____
Additional comment
In the case of Problem 1, the deposit amount is rounded down to the nearest cent. This means that the account balance at the end of 25 years will be slightly less than $300,000. The difference is on the order of $0.96. This means both the account balance and the actual interest earned are $0.96 less than the amounts shown above.
In many of these school calculations, we ignore the effect of rounding the payment values. Similarly, we ignore the effect of rounding the account balance values for each monthly or quarterly statement. In real life, the final payment of a series is often adjusted to make up the difference caused by this rounding.
Also worthy of note is that the calculations here assume the payments are made at the end of the period, not the beginning. That makes a difference.