Using the area formula, the height of the cylinder is found to be approximately 7.87 inches.
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
Use the formula for the volume of a cylinder to relate the radius, height, and volume of the cylinder -
V = πr²h
Where V is the volume, r is the radius, and h is the height of the cylinder.
It is given that the area of the base of the cylinder is 150 square inches.
Since the base of a cylinder is a circle, the area of the base is given by -
A = πr²
Where A is the area of the base and r is the radius.
Solving for r -
r² = A/π = 150/π
Use the given volume and radius to solve for the height -
V = πr²h
1050 = π(150/π)²h
h ≈ 7.87 inches
Therefore, the height is 7.87 inches.
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Income East and West of the Mississippi
For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.
Incorrect answer iconYour answer is incorrect.
(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
(b) What statistic(s) from the sample would we use to estimate the difference?
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
Answer:
H0: μ1 = μ2
H1: μ1 ≠ μ2 ;
xbar1 - xbar2
Step-by-step explanation:
The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi
H0: μ1 = μ2
H1: μ1 ≠ μ2
Statistic from the sample that would be used to estimate difference
Statistic refers to the numerical characteristic derived from the sample.
To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups
Group 1, East of Mississippi = xbar 1
Group 2, West of Mississippi River = xbar 2
xbar1 - xbar2
what's the answer to this
Answer:
125
Step-by-step explanation:
Use your Equation: A= B*H (base x height)
7.8(16)= 124.8
Rounded to the nearest whole number: 125
A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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The formula for finding the area of a circle is A \piπD B 2\piπr C \piπr^2 2 D \piπD^2 2
Answer:
Area of a circle = πr²
Step-by-step explanation:
The formula used for obtaining the area of a circle denoted as A is : πr²
Where, π is taken as a 22/7 (constant)
r = Radius of the circle, which is half the diameter of the circle
Hence,
Area of a circle = πr²
At midnight, the outside temperature is 10 degrees Fahrenheit. By 4:00 A.M., the temperature is -2 degrees Fahrenheit. Show the equation to determine the
average change in temperature per hour.
Answer:
its a change of -3 per hour.
Step-by-step explanation:
I do not know the formula for the equation you speak of, but the change per hour is that it is going down by 3 every hour. 10-3=7-3=4
4-3=1
1-3= -2.
How to find the height of a cone when only radius is given
Answer:
upload the actually picture of the math problem young lady
Simplify:-12(5/6a-7/8)+1/4(3 1/2a-1 2/5)
Answer:
−49/8a+99/10
( I hope this was helpful ) >;D
What is the mapping rule for a 180° rotation?
(x, y) → (y, x)
(x, y) → (–y, x)
(x, y) → (y, –x)
(x, y) → (–x, –y)
Answer:
D
Step-by-step explanation:
Answer:
D. (x, y) → (–x, –y)
Step-by-step explanation:
I did the assignment it is correct :)
mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width
Answer:
Width of the fence = 8.5 ft
Length of the fence = 16.5 ft
Step-by-step explanation:
Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?
Perimeter of the fence = 2(length + width)
Perimeter of the fence = 50 ft
Width of the fence = x ft
Length of the fence = x + 8 ft
Perimeter of the fence = 2(length + width)
50 = 2{(x+8) + (x)}
50 = 2(x + 8 + x)
50 = 2(2x + 8)
50 = 4x + 16
50 - 16 = 4x
34 = 4x
x = 34/4
x = 8.5
Width of the fence = x ft
= 8.5 ft
Length of the fence = x + 8 ft
= 8.5 + 8
= 16.5 ft
Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Perimeter of a rectangleA quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.
Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.
So,
Length of a rectangle [tex](l)=x+8[/tex]
Perimeter of a rectangle [tex]=50[/tex] feet
[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]
[tex]x=8.5[/tex] feet
So,
width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
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please help due pretty soon
Fully simplify −10x3y2(9x)
Answer:
Step-by-step explanation:
-10*9*x^3*x*y^2 = -90x^4y^2
What do you think deserves türkey
Write Your own thoughts
Answer:
Hey!
Türkey Server Is [tex]\small\tt{\blue{(eodev.com)}}[/tex]
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...
Answer:
geometric t2-t1
Step-by-step explanation:
divide the second term by the first to get the common ratio
Answer: This is an arithmetic sequence and the common difference is equal to -3.
Step-by-step explanation:
Find the scale factor of quad JKLM to quad ABCD
Answer:
1:8 or 1/8
Step-by-step explanation:
That's your answer.....
What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.
Question in picture
Answer:
"I hope your pillow is hot on both sides"
Step-by-step explanation:
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For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why
Answer:
5. B, C and E
6. C
7. None
8. A and D
9. F and G
Step-by-step explanation:
See attachment for complete question
5. B, C and E
B, C and E are not parallelogram because they do not have 2 pairs of parallel sides
B and E are trapeziums while C is just a quadrilateral.
6. C
In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.
7. None
A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.
8. A and D
A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.
9. F and G
These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.
The ________________ is the horizontal number line on the coordinate grid.
Answer:
x-axis
Step-by-step explanation:
The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.
Hope this helps! <3
The x-axis is the horizontal number line on the coordinate grid.
It is one of the two axes that form the Cartesian coordinate system, used to locate points in a two-dimensional plane. The x-axis runs horizontally from left to right, intersecting with the vertical y-axis at the origin (0,0). It acts as a reference line, assigning numerical values to the horizontal position of points on the grid.
The x-axis allows us to specify the x-coordinate of a point, which represents its horizontal distance from the origin. Positive values are to the right of the origin, while negative values are to the left. By combining the x-axis with the y-axis, we can precisely define the position of any point in the coordinate plane.
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|(x-19)+11| considr all posibilyties
ill give you brainlyest
Answer: Here Is the answer
Step-by-step explanation: hoep this helps :)
Find the slope please hurry
Answer:
2
Step-by-step explanation:
Sarah paid $0.75 for 3 limes. How much should she expect to pay for 5 limes at the same price?
O $0.50
O $1.00
O $1.25
O $2.25
Answer:
$1.25
Step-by-step explanation:
0.75 = 3/4
3/4 ÷ 3 = 1/4
1/4 = 0.25
0.25 x 5 = 1.25
Answer:
$1.25
Step-by-step explanation:
Quadrilateral HGFJ is a rhombus. GF = 45 cm and mZGHK= 28°. K к What is JF and mZKGH? ? H Н Enter your answers in the boxes. JF = cm O mZKGH =
Answer:
JF=45
KGH=62
Step-by-step explanation:
since the quadrilateral is a rhombus, its sides are equal GF=FJ and so on
Diagonals of a rhombus bisect each other at 90° angles, to find the missing value we subtract 90+28(the given angle) to get 62
A carton of ice cream has a radius of 11 cm and a height of 30 cm. A scoop of ice cream has a radius of 3 cm. How many cartons of ice cream should Ester order to make 100 scoops?
Answer:
1 carton
Step-by-step explanation:
The volume of the carton: ~11404 cm^3
The volume of 1 scoop: ~113.1 cm^3
100 scoops --> 113.1 x 100 = ~11310 cm^3
11310<11404 --> ester will need 1 carton because 100 scoops won't fill more than one.
Hope this helped! :)
Which expression is a factor of x² − 5x − 6?
A. x − 1
B. x − 2
C. x − 6
D. x − 3
Answer:
C
Step-by-step explanation:
solution to 5y\9-y\9 is equal to 8\9?
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
1) Simplify 5y/9 - y/9 to 4y/9.
[tex] \frac{4y}{9} = \frac{8}{9} [/tex]
2) Multiply both sides by 9.
[tex]4y = \frac{8}{9} \times 9[/tex]
3) Cancle 9.
[tex]4y = 8[/tex]
4) Divide both sides by 4.
[tex]y = \frac{8}{4} [/tex]
4) Simplify 8/4 to 2.
[tex]y = 2[/tex]
Hence, the answer is y = 2.
Select the two values of x that are roots of this equation.
2x-5=-3x2
Answer:
Step-by-step explanation:
w÷9=9-8
what is the answer to this equation
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
w÷9 = 9-8
simplify 9-8
x÷9=1
multiply both sides by 9
x=9
Dr. Rodriguez does an experiment with bacteria. She starts with 100 bacteria and records
the number of bacteria every hour after the experiment starts. Assume that the bacteria
growth continues in the pattern shown.
Bacteria Data
S
900
800
700
600
500
400
300
200
100
0
0
2
3
number of hours (x)
A. How many bacteria will there be 5 hr after the experiment starts? Show your
work algebraically, and explain how you found your answer.
B. Write an exponential equation of the form ya.b to represent this situation
Explain why you chose the values of a and b that you did.
C. Using your equation from Part B. find how many bacteria there will be 8 hr after
the experiment starts. Show your work algebraically, and explain how you found
your answer
number of bacteria ()
Answer:
500
Step-by-step explanation:
100x<5x=500
the surface areas of two cubes have a ratio of 49 to 81. What is the ratio of the edge lengths of two cubes?
Find the value of x in the equation below. 2(x - 8) = 24
Answer:
Step-by-step explanation:
2(x - 8) = 24
2x - 16 = 24
Bringing like terms on one side
2x = 24 + 16
2x = 40
x = 40/ 2
x = 20
Shondra used four ounces of chocolate
chips to make two dozen cookies. At that
rate, how many ounces of chocolate chips
would she need to make five dozen cook-
ies?
Answer:
10 ounces
Step-by-step explanation:
2 ounces per dozen cookies
2*5=10