Answer:
C
Step-by-step explanation:
[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]
The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
What is the volume of the composite figure?The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.
A cone is stacked on top of a cylinder.
They both share a circular base.
The total height of the composite figure is 25.
The height of the cylinder is 13 and the radius is 5.
The expression represents the volume, in cubic units, of the composite figure;
The volume of a cylinder = πr²h
π = 22/7
r = radius = 5
h = height = 13
The volume of a cylinder = π(5²)(13)
The volume of a cone = 1/3(πr²h)
π = 22/7
r = radius
h = height = 25 - 13 = 12
The volume of a cone = (1/3)(π(5²)(12)
The expression represents the volume, in cubic units, of the composite figure is;
= Pi(5^2)(13) + One-third pi (5^2)(12).
Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
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Which of the following is the best example of a food chain in a marine ecosystem?
A food chain is a single pathway connecting a producer with several levels of consumers. In a typical marine food chain, dinoflagellates convert energy from sunlight into food through photosynthesis and store it in their tissues. Copepods feed on dinoflagellates and incorporate this energy into their own tissues.
What is the area of the base of the cone below?
Given:
Given that the height of the cone is 12 ft.
The volume of the cone is 90 ft³
We need to determine the area of the base of the cone.
Area of the base of the cone:
The area of the base of the cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
where the base area is [tex]A=\pi r^2[/tex]
Substituting the value of A in the above formula, we get,
[tex]V=\frac{1}{3}A h[/tex]
Substituting V = 90 and h = 12, we get;
[tex]90=\frac{1}{3}A (12)[/tex]
[tex]90=4A[/tex]
Dividing both sides by 4, we get;
[tex]22.5 =A[/tex]
Thus, the area of the base of the cone is 22.5 square feet.
Hence, Option c is the correct answer.
Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges?
Answer:
B
Step-by-step explanation:
each time she sells 2 cards she gets $9 right?
so counting by 2's is the best route to go on and the only answer that displays that is answer B
Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments. The correct table is B.
What is a table?Mathematical tables are collections of numbers that represent the outcome of computation with varied arguments.
Given that Isabella sells 2 cards for $9. Therefore, the cost of 1 card will be,
[tex]\text{Cost of 1 card} = \dfrac{\$9}{2} =\$4.5[/tex]
Now, checking the options,
A.) The table is wrong because the cost of 11 cards will be $49.5, instead of 50.5.
B.) The table is correct because all the values are correct.
C.) The table is wrong because the cost of 27 cards will not be equal to $6.
D.) The table is wrong because the cost of 3 cards will not be equal to $10.
Hence, the correct table is B.
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a.
Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed.
b. Elijah was also driving to Boston, but she left from outside of the city and was already 40 miles closer than Kayleen was when she started. She also left at noon and got there at 4:00. What was her average speed?
Answer: a) 70 mph
b) 80 mph
Step-by-step explanation:
Given that Kayleen left home at noon and drove to boston.she got there at 4:00. Then time spent will be 4 hours . Noon means 12pm
Distance covered = 280 miles kayleens average speed will be
Speed = distance/time
Speed = 280/4 = 70 mph
Given that Elijah was already 40 miles closer than Kayleen was when she started
Distance covered by Elijah will be
Distance = 40 + 280 = 320
Time = 4 hours
Speed = 320/4 = 80 mph
What does the overlapping shaded region mean?
Answer:
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Answer:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
I hope this helps good luck!
Find the surface area.
Answer:
[tex]638 in^{2}[/tex]
At a restaurant a manger recorded the sales for one of his servers named
Damaria. $52, $60, $48, $52, $46, $48, $28, $192, $71, $59 Which center
should be used to best represent the data?
a. Damarias mean sale is 570
b. Damarias median sale is $52
c. Damaria's mode sale is $52
d. Damaria's range of her sales is $164
The number of cookies found in 10 different snack bags are shown below
Answer: b. Damarias median sale is $52
Step-by-step explanation:
Hi, the correct option is b. Damarias median sale is $52.
If we rank the sales order from lowest to highest
28 46 48 48 52 52 59 60 71 192
Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.
Feel free to ask for more if needed or if you did not understand something.
how many sqaure feet of carpet do you need will you need
8 ft
12 ft
2 ft
3 ft
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How far apart are Jacob and Sharon now?
A) 5 m
B) 8 m
C) 13 m
D) 18 m
Answer:
d
Step-by-step explanation:
The correct answer is option C: 13 meters. Jacob and Sharon are approximately 13 meters apart.
To determine how far apart Jacob and Sharon are now, we first need to find their final positions and then calculate the distance between those points.
Step-by-Step Solution
→ Jacob's Movement:
He walked 3 meters north and then 4 meters west.
→ Final position of Jacob: (-4, 3).
Sharon's Movement:
→ She walked 5 meters south and then 12 meters east.
→ Final position of Sharon: (12, -5).
To find the distance between their final positions, we can use the Pythagorean theorem. The distance d between the points (-4, 3) and (12, -5) is calculated as follows:
→ d = √[(12 - (-4))² + (-5 - 3)²]
= √[(12 + 4)² + (-8)²]
= √[(16)² + (8)²]
= √[256 + 64]
= √320
= √(16 × 20)
= 4√20
= 4√(4 × 5)
= 8√5
≈ 13 meters
→ Thus, Jacob and Sharon are approximately 13 meters apart.
-x+3y= 6
x + 3y = 18
Answer:
x = 6
y = 4
Step-by-step explanation:
-x + 3y = 6 → times (-1)
x + 3y = 18
x - 3y = -6
x + 3y = 18
________ -
__-6y = -24
___y = -24/-6
___y = 4
x - 3y = -6
x - 3(4) = -6
x - 12 = -6
x = -6 + 12
x = 6
Answer:
x = 6, y = 4
Step-by-step explanation:
-x + 3y = 6
x + 3y = 18
If you are looking for x and y it is...
x = 6
y = 4
Describe and correct the error a student made in finding the average rate of change for f(x)equals0.5xsquared over the interval minus4less than or equalsxless than or equalsminus2.
Answer:
please explain it better.
Step-by-step explanation:
The student needs to use the average rate of change formula correctly. For the function f(x) = 0.5x^2 and the interval [-4, -2], the correct average rate of change is -3.
Explanation:The student is looking to find the average rate of change of the function f(x) = 0.5x^2 over the interval [-4,-2]. The average rate of change of a function over the interval [a, b] is calculated by the formula: (f(b) - f(a)) / (b - a).
For our function and interval this calculates to (f(-2) - f(-4)) / (-2 -(-4)). f(-2) is 0.5(-2)^2 = 2, and f(-4) is 0.5(-4)^2 = 8. Substituting into the formula gives (2 - 8) / (-2 -(-4)) = -6 / 2 = -3. So the correct average rate of change for f(x) = 0.5x^2 over the interval [-4,-2] is -3.
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Help!!! Please!
shows the square-based pyramid ABCDE. The side length of the base is 96 m and the pyramid's height is 55 m. O is the centre of the square base, directly below E. M is the midpoint of AD. Use Pythagoras' theorem to find the length EM.
Answer:
EM = 73 m
Step-by-step explanation:
Using the right triangle MOE
with legs MO = 48. EO = 55 and hypotenuse EM
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )
EM = [tex]\sqrt{5329}[/tex] = 73
A restaurant franchise earns a bonus of $1,500 to be split equally among 12 employees. How much will each employee receive?
$125
$800
$1,488
$12,000
$18,000
Answer:
$125
Step-by-step explanation:
1500/12
125
Answer:
125
Step-by-step explanation:
1,500 divided by 12 is 125
Benny’s age is currently 200% of his sister Jenny’s age. What percent of Benny’s age will Jenny’s age
be in 4 years?
Jenny's future age would be expressed as ((x+4)/(2x+4))*100 percent of Benny's future age, where x is Jenny's current age.
Explanation:To solve this problem, we first note that Benny is currently 200% of Jenny's age, meaning Benny's age is twice that of Jenny. So let's denote Jenny's current age as x - Benny's age will be 2x.
In 4 years, Jenny's age will be x+4 and Benny's age will be 2x+4. To calculate what percent of Benny's future age will Jenny's future age be, we have to divide Jenny's future age (x+4) by Benny's future age (2x+4) and then multiply by 100 to get the percentage. Therefore, Jenny's age will be ((x+4)/(2x+4))*100 percent of Benny's age.
Since we don't know their real ages, this is the most accurate answer we can provide, expressed as an algebraic equation. In real-life situation with the real ages known this equation would allow to find out what percent of Benny's age will Jenny’s age be in 4 years.
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If Jenny's age is x, Benny's age is 2x. In 4 years, Jenny's age will be x+4 and Benny's will be 2x+4. To calculate what percent of Benny's age Jenny's age will be, we can use this formula: ((x+4)/(2x+4)) × 100.
Explanation:Let's start by expressing Benny's age in terms of Jenny's age. If Benny's age is currently 200% of Jenny's age, then mathematically, we can say:
Benny's age = 200% of Jenny's age
B = 2 × x
Now, let's assume Jenny's age is represented as J. So, Benny's age is 2 × x.
If we want to find out what percent of Benny's age Jenny's age will be in 4 years, let's calculate it step by step.
In 4 years, Benny's age will be:
Benny's age in 4 years = Benny's current age + 4
Benny's age in 4 years = 2 × x + 4
Jenny's age in 4 years will be:
Jenny's age in 4 years = Jenny's current age + 4
Jenny's age in 4 years = x + 4
Now, let's find out what percent of Benny's age Jenny's age in 4 years will be:
Percent = (Jenny's age in 4 years / Benny's age in 4 years) × 100
Percent = (x + 4) / (2 × x + 4) × 100
This calculation will give us the percentage of Jenny's age compared to Benny's age in 4 years.
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Two students are using the distance formula to determine the distance between (9, 4) and (–3, 8) on a coordinate grid. Their work is shown below. Karlin’s Work d = StartRoot (9 minus (negative 3)) squared + (4 minus 8) squared EndRoot. D = StartRoot (12) squared + (negative 4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot. Abby’s Work d = StartRoot (negative 3 minus 9) squared + (8 minus 4) squared EndRoot. D = StartRoot (negative 12) squared + (4) squared EndRoot. D = StartRoot 144 + 16 EndRoot. D = StartRoot 160 EndRoot. Which best explains why the order in which the subtraction occurred did not cause a difference in the answers determined by the two girls? The differences are each squared. The differences are added together. The square root of the differences is taken. The differences are the same regardless of order.
Answer:
The differences are each squared.
Step-by-step explanation:
Thats the answer I just took the test and its a on edgenunity
Answer:
A
Step-by-step explanation:
I need help on my HW ASAP
Answer: Your answers are all correct.
Step-by-step explanation: Good Job :D
Answer the following questions using the series representation.
0.9 + 0.09 + 0.009 + …
The first term is?
The common ratio is?
Answer:
a and c
0.9
0.1
1
Step-by-step explanation:
ez
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
1/2
1/6
1/3
Answer:
2/3
Step-by-step explanation:
Answer:
Event A : stops on an even number
Event B: stops on blue
Find the P ( A or B )
2/3
What is the volume of the pyramid?
A. 60 ft^3
B. 240 ft^3
C. 106.7 ft^3
D. 80 ft^3
Answer:
the correct answer is
D. 80 ft^3
vol. of pyramid = (l× w × h)/3
= (6×8×5)/3
= 80 ft^3
Answer:
60?Step-by-step explanation:
I dont know :cFind the value of X in the triangle. Then classify the triangle as acute right or obtuse
27, 59, x
A. 104
B. 89
C. 93
D. 94
i need hell with this :(
Please help me I have a limited time
Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
I am A line segment found where 2 faces of polyhedron intersect what am i
Answer:
I do not know
Step-by-step explanation:
Put the polynomial, 5 - 3x ^ 2 + 4x + 5x ^ 3 in standard form please!
Look at the attached picture⤴
Hope it will help u...
Find the volume of the composite solid. Round your answer to the nearest tenth
Answer:
1130.4 cubic meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The composite solid has two cones:
The height of the big cone is: 12 mThe height of the small cone is: 18The radius of the common base of the two cones is: 6 m=> the volume of the big cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*18 = 678.24 cubic meters
=> the volume of the small cone is:
V = (1/3)π[tex]r^{2}[/tex]·h = (1/3)*3.14*[tex]6^{2}[/tex]*12 = 452.16 cubic meters
=> the volume of the composite solid :
= 678.24 + 452.16
=1130.4 cubic meters
Find the rule of f(1)
Step-by-step explanation:
Given
f(x) = (11)^x + 2
f(1) = 11^1 + 2
= 11 + 2
= 13
A square patio has an area of 153 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately feet long.
Answer:
38.3
Step-by-step explanation:
Since the patio is a square all of the sides have to be equal.
153/4=38.25
Rounded to the nearest tenth the answer is 38.3
Each side of the patio is approximately 38.3 feet long.
A baseball team receives 310,000 in sponsorship equipment, and the administrative cost are expected to be $47,000. What are the cost as a percentage of sponsorship revenue?
To calculate the cost as a percentage of sponsorship revenue, divide the administrative cost by the sponsorship revenue and multiply by 100. The cost as a percentage of sponsorship revenue is 15.16%.
Explanation:To calculate the cost as a percentage of sponsorship revenue, we need to divide the administrative cost by the sponsorship revenue and multiply by 100.
Step 1: Divide the administrative cost ($47,000) by the sponsorship revenue ($310,000).
$47,000 ÷ $310,000 = 0.1516
Step 2: Multiply the result by 100 to convert it to a percentage.
0.1516 x 100 = 15.16%
The cost as a percentage of sponsorship revenue is 15.16%.
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Which is a diagonal through the interior of the cube? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. Side A D Side B G Side C E Side D F
Side BG is the diagonal through the interior of the cube
Step-by-step explanation:
Given Cube with
Top face ABDC
Bottom Face EFHG
In a cube there are 4 interior diagonals
Side AD is the diagonal of the top face ABDC
Side CE is diagonal of the side face ACBE
Side DF is diagonal of the side face BDHF
Side BG is the diagonal through the interior of the cube
Hence , the Side BG is the diagonal through the interior of the cube
An anemometer is a device used to measure wind speed.
The anemometer shown is attached to the top of a pole.
Support wires are attached to the pole 5 feet above the
ground. Each support wire is 6 feet long. How far from
the base of the pole is each wire attached to the ground?
Answer:
3.32ft
Step-by-step explanation:
The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.
Using Pythagoras Theorem:
Hypotenuse²=Adjacent²+Opposite²
6²=5²+x²
x²=36-25
x²=11
x=√11=3.32 ft.
The wires are attached 3.32 ft from the base of the pole on the ground
Answer:
The question can be answered by using a Pythagoras' Theorem : [tex]c^2=a^2+b^2[/tex] to find the base of the pole to which each wire is attached to the ground.
Step-by-step explanation:
the base of the pole is represented by b.
the height of the pole is represented by a= 5 feet
the length of t he wire is represented by c=5 feet.
Thus, using the Phytagoras Theorem,
c^2=a^2+b^2,
[tex]6^2=5^2+b^2\\36=25+b^2,\\36-25=b^2\\Thus, b^2=11,\\b=\sqrt 11[/tex] or b=3.3.
Thus , each wire i attached by about 3.3 feet to the base of the pole.