Answers
Answer:
12 inStep-by-step explanation:
The volume fomula of cylinder
V = πr²hGiven
d = 9 in, V = 763 inSubstitute the values into formula, considering d = 2r, solve for h
763 = 3.14(9/2)²h763 = 63.585hh = 763/63.585h = 11.999 ≈ 12The height is approximately 12 inches
Answer:
12 inches
Step-by-step explanation:
The vase can be modeled as a cylinder.
Volume of cylinder
[tex]\sf V= \pi r^2 h[/tex]
where:
r is the radiush is the heightGiven:
V = 763 in³Diameter = 9 in[tex]\sf Radius=\dfrac{1}{2} \times diameter=\dfrac{1}{2} \times 9=4.5\:in[/tex]
Substitute the given values into the formula and solve for h:
[tex]\begin{aligned}\sf V & = \sf \pi r^2 h\\\\\implies \sf 763 & = \sf \pi (4.5)^2 h\\\\\sf h & = \sf \dfrac{763}{\pi (4.5)^2}\\\\\sf h & = \sf 11.99360213...\end{aligned}[/tex]
Therefore, the height of the vase is 12 inches (to the nearest inch).
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Related Questions
Simplify the algebraic expression -30y+(-15y)+70
Answers
Answer:
[tex]-45y + 70[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]-30y + (-15y) + 70[/tex]
[tex]-30y - 15y + 70[/tex]
[tex]-45y + 70[/tex]
Answer: [tex]-45y + 70[/tex]
-30y+(-15y)+70 is the same as
-30y-15y+70
Combine like terms-45y+70
That's the ans.hope helpful ~
The best basketball player on a college team kept track of the number of baskets she made in her last eight games.
11 15 19 12 11 16 11 17
Calculate the mean, median, range, and midrange of the number of baskets she made in her last eight games.
Answers
The set is 11, 15, 19, 12, 11, 16, 11, 17
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
What is a mean?
It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
The set:
11 15 19 12 11 16 11 17
The sum of the set:
= 11 + 15 + 19 + 12 +11 +16 + 11 + 17
= 112
Mean:
= 112 / 8
= 14
Median:
Arrange the set in ascending order.
11, 11, 11, 12, 15, 16, 17, 19
The Median is the mid-value of the set.
Median = (12 + 15) / 2 = 27/2 = 13.5
Range:
Highest value in the set = 19
Lowest value in the set = 11
Range = Highest value - Lowest value
= 19 - 11
= 8
Midrange:
= (Highest value + Lowest value) / 2
= (19 + 11) / 2
= 30/2
= 15
Thus,
If the set is 1, 15, 19, 12, 11, 16, 11, 17.
Mean = 14
Median = 13.5
Range = 8
Midrange = 15
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can someone help me with this problem please and give examples im clueless on this one
Answers
Describe the graph of the function.
y =Square root of
x-1 + 4
Answers
Answer: The answer is D. the last option
Step-by-step explanation:
The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.
The original function is y = √(x - 1) + 4, which represents a radical function.
This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.
By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.
By shifting the function up 4 units, we are adding 4 to the output of the square root function.
This means that the graph will be shifted vertically by 4 units compared to the standard square root function.
Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.
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PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
Answers
I would choose "Elimination" method.
Explanation:Elimination is the easiest method to solve an equation. Because in this method first we have to find the value of "y" by eliminating "x". And at last,the value of "y" which we have got by elimimating,we need put to any equation as we desire. And finally the equation will be solved.
Hope it helpsReady Mathematics
Unit 6 Unit Assessment
Solve the problems.
1 Look at the triangles.
3 cm
3 cm
3 cm
3 cm
4 cm
7 cm
4 cm
3 cm
Date
3 cm
Answers
Answer:
Talking Ben Thinks It 7 cm
Step-by-step explanation:
7m Cause Ben Told me
How many outcomes are possible?
2 quarters, 4 dimes, and 1 nickel are tossed
Answers
Answer:
70
Step-by-step explanation:
2 quarters are 50¢
4 dimes are 40¢
1 nickel is 5¢
if you add it all together you will get 70¢
Find the total surface area
Answers
Answer:
585
Step-by-step explanation:
Explanation in picture below.
Find the area and the circumference of a circle with diameter .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
the answer is in the picture
Can someone pls help
Answers
Answer:
12cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/18 = 4/6
6x = 72
x = 12 cm
It takes Hugh 27 minutes to make of a basket. Enter the time, in hours, it would take Hugh to make 12 baskets.
Answers
Which graph is the graph of f( x)=x-1/x+2
Answers
Answer:
its a
Step-by-step explanation:
got it right on the test.
Heyo!
RummySokka is here to help!
Here's a picture, that may help you!!
Hopefully, this helps you!!
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2. Given: A drug for the relief of asthma can be purchased
from 5 different Manufactures in liquid, tablet, or capsule
form, all of which come in regular or extra strength.
Required: In how many ways can a nurse administer the
drug for a patient suffering for asthma?
Answers
Answer:
5*3*2=30ways
Step-by-step explanation:
Since we have 5 different manufacturers who manufactures the drug in 3 different forms and 2 type of strengths, then;
Number of ways in which a nurse can administer the drug for a patient
are; Ways=5*3*2=30ways
what is the mean for 1500 338 588 850
Answers
Answer:
819
Step-by-step explanation:
The mean is the average. Add up all the values and then divide that by the total amount of values. 1500+338+588+850=3276. 3276/4=819.
Identify the asymptotes of the graph.
x = 2, y = 2
x = –2, y = 2
x = 2, y = –2
x = –2, y = –2
Answers
Answer:
A) x = 2, y = 2
Step-by-step explanation:
An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.
From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.
The horizontal asymptote is y = 2 (blue dashed line)
The vertical asymptote is x = 2 (red dashed line)
Therefore, the asymptotes are: x = 2, y = 2
A water faucet leaked 2 and 3/5 liters of water every 2/4 of an hour. It leaked at a rate of how many liters per hour?
Answers
let's firstly convert the mixed fraction to improper fraction and then proceed.
[tex]\stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} liters&hours\\ \cline{1-2} \frac{13}{5}&\frac{2}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~\frac{13}{5} ~~}{x}~~ = ~~\cfrac{~~\frac{2}{4} ~~}{1}\implies \cfrac{~~\frac{13}{5} ~~}{\frac{x}{1}}~~ = ~~\cfrac{2}{4}\implies \cfrac{13}{5}\cdot \cfrac{1}{x}=\cfrac{1}{2} \\\\\\ \cfrac{13}{5x}=\cfrac{1}{2}\implies 26=5x\implies \cfrac{26}{5}=x\implies 5\frac{1}{5}=x[/tex]
adult tickets to the game are sold for $7 and student tickets are sold for $5. what combination of tickets must be sold to have total sales of at least $5000?
Answers
The combination of tickets that must be sold to have total sales of at least $5000 is 7x + 5y ≥ 5000
How to construct inequality?
The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,
let
x = number of adult ticket sold
y = number of students ticket sold
Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:
7x + 5y ≥ 5000
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There are 750 toothpicks in a regular-size box. A jumbo-size box is made by doubling the length, width, and height of the regular box. How many toothpicks will the jumbo box hold?
2250 toothpicks
1500 toothpicks
3000 toothpicks
6000 toothpicks
Answers
Answer:
The last option: 6,000 toothpicks.
Step-by-step explanation:
The formula I used: (2L) (2W) (2H)
If a jumbo sized box is made by doubling the length, width, and height then each measurment will be doubled so length x2, width x2, height x2 so therefore those added up would be 8. Then just do 8 times the volume. 8 x 750 = 6,000.
You deposit $25,000 into a bank that pays % 4 annual interest compounded monthly.
a) What is the account balance after 3 years?
b) When will the balance reach $40,000 ?
Answers
Answer
A: $28,000
B: 15 years
Step-by-step explanation:
A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.
B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.
Hope this helps!
What type of number is √25? Whole number , integer , rational or irrational . SELECT ALL THAT APPLY
Answers
Answer:
A, B, and C.
Step-by-step explanation:
The square root of 25 is 5. 5 is rational, a whole number, and an integer.
While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?
Answers
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
Volume of the orange pyramid
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
A is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
Volume of the green pyramidVoume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
Height of the green pyramidV = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
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(2 times the square root of 5 plus 3 times the square root of 7) squared
Answers
Answer:
10.19
Step-by-step explanation:
y = kx
If y = 54 when x = 60, what is the value of k?
Give any decimal answers to 1 d.p.
Answers
54 : 60 = 0.9
0.9 • 60 = 54
So the value of k is 0.9
Find the total surface area
Answers
From a hot-air balloon, Khalil measures a 36^{\circ}
angle of depression to a landmark that’s 1304 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
947.41 ft
Step-by-step explanation:
Tan 36 = opp / adj = height / 1304
1304 * tan 36 = height = 947.41 ft
A bus company is replacing all the old seats in its buses with new ones. The company owns 15 buses and each bus has 22 seats. It costs $91.20 to purchase each new seat, as well as an additional $26.50 to install each new seat. What is the total cost the company will pay?
Answers
Answer:
30112.50. 15x22x91.20+26.50
May is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet. How much glass is needed? A. 680 sq ft B. 340 sq ft C. 2,040 sq ft D. 1,360 sq ft.
Answers
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Hope this helps you!!
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what is the end behavior? can’t figure out the answer
Answers
Answer: when you stop acting
Step-by-step explanation:
Michael stacks 14 identical disks to form a cylinder. Each disk is 1/4 inch thick. The diameter of each disk is 3 inches. Which measurement is closest to the volume, in cubic inches of the stack of disks? 7 99 396 25
Answers
The function f(x)f(x) is graphed below. What is true about the graph on the interval from x=-\inftyx=−∞ to x=ax=a?
Answers
Answer:
If graph of any function going towards down in a particular interval. Then , function is decreasing in that interval.
From x = -∞ to x = a , function is positive and decreasing.
Here, a graph is attached in the question.
We know that, if graph of any function is going towards down in particular interval. Then function is decreasing in that particular interval.
If graph of any function is going towards up in particular interval. Then function is increasing in that particular interval.
In given graph. it is observed that in interval x = -∞ to x = a , graph of function is above x - axis and graph is going towards down. Therefore, in given interval function is positive and decreasing.
Step-by-step explanation: