Answers
Answer:
5. 3050ft³ (rounded to 3 s.f.)
6. 4190ft³(rounded to 3 s.f.)
7. 4600ft³(rounded to 3 s.f.)
Formulas (For easier reference):
Volume of a cone: pi×r²×[tex]\frac{h}{3}[/tex]
Volume of cylinder: pi×r²×h
Volume of a sphere: [tex]\frac{4}{3}[/tex]×pi×r³
Volume of a hemisphere: [tex]\frac{2}{3}[/tex]×pi×r³
Step-by-step explanation:
You can just apply the formulas to the question:
5. Volume of cone = pi×9²×[tex]\frac{(16-10)}{3}[/tex]
= 162pi
Volume of cylinder = pi×9²×10
= 810pi
Volume of figure = 162pi+810pi
= 972pi
= 3050ft³ (rounded to 3 s.f.)
6. Volume of sphere = [tex]\frac{4}{3}[/tex]×pi×10³
= 1333[tex]\frac{1}{3}[/tex]pi
= 4190ft³(rounded to 3 s.f.)
7. Volume of hemisphere = [tex]\frac{2}{3}[/tex]×pi×(26÷2)³
= 1464[tex]\frac{2}{3}[/tex]pi
= 4600ft³(rounded to 3 s.f.)
Related Questions
A chef needs to increase the temperature of a food dish. She thinks she can do this by stacking another dish on top of it. She has three dishes to choose from for the top dish: A, B, and C.
Which one of these dishes would make the food dish the warmest when placed on top of it? As part of your answer, explain how the energy and temperature of both the top dish and the food dish will change when the food dish warms up, and why.
Answers
Answer:
This question is incomplete
Step-by-step explanation:
Answer:
I may not know the answer but from what I. seeing we taking the same test TwT
Determine if the two triangles are congruent if they are state which congruence theorem is used
Answers
Answer:
yes through ASA association
It takes 2 hours to drive 100 miles, at this rate how long does it take to drive 50 miles?
Answers
Answer:
1 hour
Step-by-step explanation:
As driving 100 miles takes 2 hours, 50
hours will take 1 hour to drive.
This is because 50 is half of 100. Therefore, what is half of 2? 1!
(1+1=2)
If the spinner lands on green 10 times out of 60 spins, which statement is true?
The spinner lands on green 5 more times than expected.
The spinner lands on green 5 less times than expected.
The spinner lands on green 2 more times than expected
The spinner lands on green 2 less times than expected.
Answers
Answer: The spinner lands on green 5 less times than expected.
Step-by-step explanation:
Assuming the spinner has 4 colors, the chance of it landing on green will be 25%.
If there are 60 spins, the expected number of times it should land on green is;
= 60 * 25%
= 15 times
It only landed on green 10 times which is 5 less times than expected.
John commutes each day to work either by train or by bus. The bus pass costs 10$ plus 2$ per trip. The train costs 15$ plus 1.50$ per trip what is the most number John can make before the bus costs more than the train?
A) 9 trips
B) 15 trips
C) 11 trips
D) 13 trips
Answers
Answer:
a
Step-by-step explanation:
i plugged in each of the numbers to the equation
at 9 trips the bus costs 28 and train cost 25.5
Is the point (-2,5) a solution for the equation y = 10 + 4x. Explain why and ensure that math
evidence is in your response.
Answers
Answer:
No, the point (-2, 5) is not a solution.
Step-by-step explanation:
To see if the point is a solution, plug the given values for x and y into the equation:
y = 10 + 4x
5 = 10 + 4(-2)
5 = 10 - 8
5 [tex]\neq[/tex] 2
Because the two sides aren't equal to each, the point (-2, 5) can't be a solution.
I'll mark you the brainiest if you get this right
thx x
Answers
b) a= 1/2 (3) (3) a= 4.5
the picture shows what i mean hope this helps :)
Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time. How long does it take to screen-print a batch of 143 shirts? Write and solve an equation to find the answer.
Answers
Answer:
So the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex]
Step-by-step explanation:
From the question statement, it is clear that
screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time.we have to determine how long does it take to screen-print a batch of 143 shirts.
so the equation and solution will be:
Total time taken = 3 × number of shirts + 19.87 min (setup time)
= 3 × 143 + 19.87
[tex]=429+19.87[/tex]
[tex]=448.87[/tex] min
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
A: -30
B: -4
C: 4
D: 30
(No shown work is needed)
Answers
Answer:
C: 4
Step-by-step explanation:
when a positive and negative number are multiplied you will get a negative number.
So,
4-7= -3
-3x3= -9
Therefore, your answer is C: 4. Hope this helps! :)
The temperature of a cooling cup of coffee can be modelled by the equation
T = 90(0.94)", where T represents the temperature of the coffee and n is the
number of hours since it was poured. Explian what 90 and 0.94 represent in
this equation.
Answers
Answer:
See below
Step-by-step explanation:
I assume the " is n.
90 is your initial/starting temperature, in other words when n = 0 hours, the temperature will be 90.
The 0.94 part shows the rate of exponential decay.
Judith's family went on a cross-country trip. They drove exactly 232 miles a day for 12 days. How many miles did they drive?
696 miles
2,824
2,884
2,784 miles
Answers
Answer:
2,784 miles
Step-by-step explanation:
232*12=2,784
Which expression is equivalent to 3(4y)
I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Well 12y is the most obvious answer.
Anything that makes 12 is good enough.
4(3y) is another answer
12(y)
1(12y)
6(2y)
2(6y
plz help to find a
u will get 20 points
Answers
a=30
Hope this helps:)
could somebody help me please im dumbbb
Answers
Answer:
its parentheses, exponents, multiplication and division and addition and subtraction
The supply curve for a local business can be modeled by q(x) = x2 – 4x + 4, where x is the price of the item in dollars and q(x) is the number of items produced at that price. Use the graph to complete the statements.
There are
items produced at a price of $2, because the
is at (2, 0).
The number of items produced decreases when the price increases from
dollars.
Answers
Answer:
1: A: 0
2: B: x-intercept
3: A: 0 to 2
Step-by-step explanation:
I just did the assignment on EDGEN and it's 200% correct!
Also, heart and rate if you found this answer helpful! :) (P.S it makes me feel good to know I helped someone today:) )
The answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
A local business can be modeled as function q(x) = [tex]x^2 - 4x + 4[/tex]
x is the price of the item in dollars and
q(x) is the number of items produced at that price.
The graph below shows the function q(x).
From the graph, there are zero items produced at a price of $2, because the x-intercept is at (2, 0).
The number of items produced decreases when the price increases from 0 to 2 dollars.
Hence we can conclude that the answers that complete the statements are a) zero, b) x - intercept, c) 0 to 2 are the correct statements.
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Find the first three terms of the sequence below.
Tn = n2 + 5n + 2
Answers
Step-by-step explanation:
T1 = 1^2 + 5(1) + 2 = 8
T2 = 2^2 + 5(2) + 2 = 16
T3 = 3^2 + 5(3) + 2 = 26
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
First three terms : 8 , 16 , 26
Step-by-step explanation:
[tex]T_{n}=n^{2}+5n + 2[/tex]
n = 1 , [tex]T_{1}=1^{2}+5*1+2=1+5+2 = 8[/tex]
n = 2 , [tex]T_{2}=2^{2}+5*2+2 = 4+10+2 = 16[/tex]
n= 3, [tex]T_{3} = 3^{2}+5*3+2=9+15+2 = 26[/tex]
simplest form
7/15 - 1/5
Answers
Answer:
4/15
Step-by-step explanation:
7/15 - 3/15 = 4/15
Answer:
4/15
Step-by-step explanation: i did the math
It cost Mr. Stu $315 for himself and 6 friends to have dinner. How much did it cost per person?
$52.50 per person
$45 per person
$23 per person
$63 per person
Answers
Answer:45
Step-by-step explanation:
Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long. straight upward incline with a speed of 2.95 m/s and accelerates at -0.876 m/s/s for 1.54 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.
Answers
Answer:
3.504 m
Step-by-step explanation:
Given that:
The speed (u)= 2.95 m/s
The acceleration = -0.876 m/s²
TIme t = 1.54 s
The length of the incline can be estimated by determining the distance traveled which can be achieved by using the second equation of motion.
[tex]S = ut + \dfrac{1}{2}at^2[/tex]
[tex]S = 2.95 (1.54) + \dfrac{1}{2}(-0.876) (1.54)^2[/tex]
S = 4.543 - 1.039
S = 3.504 m
Thus, the length of the incline = 3.504 m
20+m=8m What does m equal?
Answers
Answer:
First, subtract m from both sides
20=7m
divide 7 from both sides
20/7=m
Step-by-step explanation:
Answer: = 20/7
Step-by-step explanation:
Brian bought two shirts for $14.50 each and a pair for shoes for $29.99.the sales tax was 6%.how much did Brian spend?
Answers
Answer:
Brian spent 62.5294 $.
Step-by-step explanation:
The cost of two shirts = [tex]2\times \:14.5=29[/tex] $
The cost of 1 pair of shoes = [tex]1\times 29.99\:[/tex] = [tex]29.99[/tex] $
Adding the calculated costs = [tex]29+29.99=58.99[/tex] $Tax calculation:
[tex]\frac{6}{100}\times \:58.99=3.5394[/tex] $Now, adding calculated costs and tax calculation:
58.99$ + 3.5394$ = 62.5294 $
Therefore, Brian spent 62.5294 $.
Enter in standard form (10 points)
Answers
Answer: sorry i just need points TWT
what equation does this model show?
Answers
Answer:
14x-12=9x-25
Step-by-step explanation:
Since the balance is equaled, the equation would read to be 14x-12=9x-25.
Can someone help me out ? ASAP
Answers
Answer:
Reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
the triangle reflected across x axis
A train covers 165 km in 1.5 hours. Find the constant variation.
Answers
Answer:
Step-by-step explanation:
110
The required value of constant variation would be 110.
What is the distance?Distance is defined as the product of speed and time.
Direct variation equation can be written as:
y = kx where "k" is a constant variation.
Here y represents the distance covered by the train, and x represents the time duration.
As per the given question,
Since the train covers 165 km in 1.5 hours.
Substitute the values of y = 165 and x = 1.5 in the direct variation equation and solve for k:
⇒ 165 = 1.5k
⇒ k = 165/1.5
Apply the division operation, and we get
⇒ k = 110
Therefore, the required value of constant variation would be 110.
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Is the statement true? Explain.
Answers
Answer:
Yes it's true
Step-by-step explanation:
Which inequality is a true statement?
Select each correct answer.
−5≤−7
−5>−7
−5<−7
−5=−7
−5≥−7
PLZZ HELP
Answers
Answer It's A, B, C, and F. Or 1, 2, 3, 5
Step-by-step explanation:
To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.
Consider the function.
f(x)= -2/3x-24
Which conclusions can be drawn about f–1(x)? Select two options.
f–1(x) has a slope of .
f–1(x) has a restricted domain.
f–1(x) has a y-intercept of (0, –36).
f–1(x) has an x-intercept of (–36, 0).
f–1(x) has a range of all real numbers.
Answers
Answer:
c and e
Step-by-step explanation:
The conclusions about f⁻¹(x) are ; f⁻¹(x) has a y-intercept of (0, -36) and (e); f⁻¹(x) has a range of all real numbers.
How to determine the conclusions?The function is given f(x) = -2/3x - 24
Express f(x) as y;
y = -2/3x - 24
x = -2/3y - 24
Add 24 to both sides;
x + 24 = -2/3y
Make y the subject,
y = -3/2x - 36
Rewrite
f⁻¹(x) = -3/2x - 36
A linear equation is represented y = mx + b
Where, m represents the slope and b represents the y-intercept
This means :
Slope = -3/2
Y-intercept = -36 or (0,-36)
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Imothy evaluated the expression using x = 3 and y = –4. xy-2 3x2y−4 1. (1 3 )x−1y2 2. (1 3 )3−1(−4)2 3. (1 3 )(1 31 )(−4)2 4. (1 3 )(1 3 )(−16) 5. −16 9 Analyze Timothy's steps. Is he correct? If not, why not? Yes, he is correct. No, he needed to add the exponents when he simplified the powers of the same base. No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction. No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Answers
Answer:
No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Step-by-step explanation:
The expression is not well written. The expression is written as;
(xy^-2)/(3x²y^-4)
According to indices;
a^m ÷ a^n = a^{m-n}
Applying this to solve the question
1/3(x^{1-2})/(y^-2÷y^-4)
= 1/3(x^{-1})(y^{-2+4})
= 1/3(1/x)y²
= 1/(3x) × y²
Substituting x = 3 and y = -4
= 1/3(1/3)×(-4)²
= 1/9(16)
= 16/9
Imothy solution is incorrect.
According to Imothy solution, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Answer:
Step-by-step explanation:
a) 120 =(120:60)* = 2*
b) 240 (240:60)* = 4
4480 = (480: 60* = 8
d) 600 (600:601 - 10
Answers
Answer:
60
Step-by-step explanation:
what am i supposed to answer frl