The speed the fan will turn is 625 rpm
Linear speedSince they fan and the pulley ahve the same linear speed v = rω where
r = radius of pulley and ω = angular speed.Then
r₁ω₁ = r₂ω₂ where
r₁ = radius of fan pulley = 8 in/2 = 4 in, ω₁ = angular speed of fan pulley, r₂ = radius of motor pulley = 4 in/2 = 2 in, ω₂ = angular speed of motor pulley = 1250 rpm Angular speed of fan pulleyMaking ω₁ subject of the formula, we have
ω₁ = r₂ω₂/r₁
Substituting the values of the variables into the equation, we have
ω₁ = r₂ω₂/r₁
ω₁ = 2 in × 1250 rpm/4 in
ω₁ = 1250 rpm/2
ω₁ = 625 rpm
So, the speed the fan will turn is 625 rpm
Learn more about angular speed of pulley here:
https://brainly.com/question/2923987
An airplane is traveling at 400 miles per hour. Which equation can be used to find the
total distance the plane will travel in h hours?
Answer:
400h=mi
Step-by-step explanation: 400 hours = miles which is an equation above.
What is the radius of the circle x2+y2–81=0?
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Step-by-step explanation:
Multiply 56 by 7/8 to determine the amount of red marbles.
*56 can be put over 1.
Multiply;
[tex] \frac{56}{1} \times \frac{7}{8} = \frac{392}{8} [/tex]
Simplify by dividing by 8;
[tex] \frac{392 \div 8}{8 \div 8} = \frac{49}{1} [/tex]
There are 49 red marbles.
The average natural gas bill for a random sample of 26 homes in the 19808 zip code during the month of March was $305.30 with a sample standard deviation of $46.50. The 80% confidence interval around this sample mean is ________.
A right triangle has legs of length 146 cm and 105 cm. What is the length of the hypotenuse of the right triangle? Enter the answer, rounded to the nearest tenth, in the box. cm
Answer:
179.8cm
Step-by-step explanation:
Use the pythagorean theorem a^2+b^2=c^2
146^2+105^2=c^2
Square the numbers
21316+11025=c^2
Add
32341=c^2
Get the square root of the number on the left side
179.8=c
The hypotenuse's length is 179.8cm.
Please help me out, hopefully it’s clear, very urgent. Thanks
Solution:
We know that:
[tex]\frac{\tex\text{Diamonds}}{\text{Emeralds}} = \frac{3}{4}[/tex]
[tex]\text{Emeralds} = 16[/tex]
Substitute the amount of emeralds in the ratio to find the amount of diamonds.
[tex]\dfrac{\tex\text{Diamonds}}{16} = \dfrac{3}{4}[/tex]
[tex]\tex\text{Diamonds} = \dfrac{3 \times 16}{4}[/tex]
[tex]\tex\text{Diamonds} = \dfrac{48}{4} = 12[/tex]
Thus, there were 12 diamonds.
(a)
girls to boys → 2 : 1
2 → 24
1 → 12
There are total 12 boys.
(b)
diamonds to emeralds → 3 : 4
4 → 16
1 → 4
3 → 12
There are 12 diamonds.
find x Finding an angle measure given extended triangles
Answer:
[tex]x = 34[/tex]
......
......
...
The dimensions of a solid block of cheese in the shape of a triangular prism are shown below.wich of these is the best estimate of the volume of the block of cheese in cubic centimeters
Answer:
174.19 cm3 i am not sure though.
Step-by-step explanation:
A 28 ft ladder leans against a wall so that the base of the ladder is 7 ft away from the base of the wall. How far up the wall does the ladder reach.
Round your answer to the nearest tenth.
help please! geometry help needed.
Answer:
83 in^3
Step-by-step explanation:
We will need to find the volume of the cube, and then subtract the volume of the pyramid to find the space between.
Volume of pyramid = lwh/3 = 41.67
Volume of cube = lwh = 5*5*5 = 125 Subtract these 2 to get
125-41.67 = 83.33
Please let me know if this helped <3
Question is on picture
Answer:
The expression is half the value of (10 + 12)
Step-by-step explanation:
We see the top part is 10 + 12
The whole thing is a fraction and 2 is in the denominator
You divide your term by your denominator, and diving by 2 is the same as 1/2 if a term.
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2940 seats. The students left 35% of the seats in the theater vacant. How many 6th graders went on the trip?
Answer:
1,911 students I think
Step-by-step explanation:
if you multiply 2,940 by 35% (or multiply it by 0.35) you get 1,029, then you subtract 1,029 from 2,940 to get 1,911
Please correct me if I'm wrong
The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What fraction of games did they win?
Answer:
6/11 games
Step-by-step explanation:
Take the total number of wins, losses, and ties, and add them up to get the total number of games.
3+2+6=11
Then divide the wins by the number of games to get the fraction.
6/11
Which situation has a sum of zero?
A. Borrowing $20 from my brother and paying him back $10.
B. Earning $5 for mowing the lawn and spending $5 on candy.
C. Earning $10 for mowing the lawn and spending $2 on candy.
D. Borrowing $10 from my mom and then another $5 from her the next day.
O B
O C
O A
O D
Answer:
The answer is B
Step-by-step explanation:
If you earn $5 when you mow the lawn, you now have $5 in your wallet. You then go and spend $5 on candy, which means you now have $0.
If the nth term of a number sequence is 4n^2+ n find the first 3 terms and 10th term
Answer:
1st term = 7, 2nd term = 18, 3rd term = 39, 10th term = 403
Step-by-step explanation:
To find the 1st term substitute 1 for n in the equation:
4(1)² + 1 = (4 × 1) + 3 = 4 + 3 = 7
To find the 2nd term substitute 2 for n in the equation:
4(2)² + 3 = (4 × 4) + 3 = 16 + 3 = 18
To find the 3rd term substitute 3 for n in the equation:
4(3)² + 3 = (4 × 9) + 3 = 36 + 3 = 39
To find the 10th term substitute 10 for n in the equation:
4(10)² + 10 = (4 × 100) + 3 = 400 + 3 = 403
Hope this helps!
1 a) Complete the equivalent fractions for each of the fractions below.
a) 3/5 18/? ?/25 27/?
b) 4/7 8/? ?/49 44/?
b) Explain how to calculate an equivalent fraction.
2. Use the butterfly method to solve the following equations. Show your work.
Answer:
i think its letter B, maybe A?
You move down 6 units. You end at (10, 4). Where did you start?
Answer:
(10,10)
Step-by-step explanation:
coordinates are (x,y)
x is horizontal(left and right), y is vertical (up and down)
going down 6 means subtracting 6 from the second number
lets reverse that to go up and add 6 back
4+6=10
so the original point was (10,10)
If you move DOWN, then that means you are moving in the "y" direction (up and down).
Thus, you are moving the unit "4" not "10". Since you are moving down, you must add to know where your starting position is. You add "4" and "6" together to make "10".
Answer:
You start at (10,10)
27) Electric vehicles often have been proposed as an environmentally sound alternative to the gasoline engine for transportation. In response to state initiatives, several car manufacturers now include electric vehicles among their available models. In spite of these state initiatives, the penetration of electric vehicles into the transportation sector of the United States, as well as other countries, remains modest. (a) Identify and describe two environmental benefits to using electric vehicles in place of gasoline-powered engines for transportation. (b) Estimate the potential reduction in petroleum consumption (in gallons of gasoline per year) that could be achieved in the United States by introducing electric vehicles under the following assumptions: 1. The mileage rate for the average car is 25 miles per gallon of gasoline. 2. The average car is driven 10,000 miles per year. 3. The United States has 150 million cars. 4. 10 percent of United States cars could be replaced with electric vehicles. (c) Some people have suggested that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources. Explain and defend or refute this statement. (d) Propose two potential new United States government policies that would encourage the widespread use of electric vehicles. Explain.
It can be deduced that the environmental benefits of using electric vehicles are decreased levels of carbon monoxide and carbon dioxide.
What are the environmental benefits of using electric vehicles?
It improves human health by decreasing rates of headaches, drowsiness. A decrease means less global warming, decreased greenhouse effect, as well as decreased acid precipitation.
The potential reduction in petroleum consumption will be:
= (150 million cars) × (10,000 miles per year)/25 miles per gallon × 0.1
= 6 billion
Electric vehicles only shift the emission of air pollutants from dispersed sources because most electric cars are powered by an electrical generating source identified as using combustion such as fossil fuels and coal.
Some incentives that would encourage the use of electric vehicles include mandated production for electric vehicles, reduced tolls, etc.
Learn more about an electric vehicle on:
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Solve 3s > 36. Graph the solution.
The solution is
can someone help plsss
Answer:
12
Step-by-step explanation:
3s ≥36
divide both side by 3
s ≥ 12
and if you were to graph it, closed circle on 12 going towards bigger numbers, since s is greater than or equal to 12
naty used 91.36 gallons of water over 2.3 days what is the average amount of water naty used?
Does anyone know this? Please help! ASAP!!!
Answer:
a=4
b=5
c=6
d=1
Step-by-step explanation:
4a=16
7+a+b=16
2b+c=16
a+b+c+d=16
I need help with this ASAP
Answer:
The answer is 6m²
hello bro
Who can help me with math?
Pls only comment on it without answering if u don’t how to do it.
Ty :)
Answer:
the answer is in the top
Step-by-step explanation:
hope it's helpful
Patty wants a triangular garden in her backyard to grow vegetables. She plans to use three pieces of edging that measure 7 feet, 10 feet and 8 feet. In at least two complete sentences, answer the following questions: a) Will her garden be in the shape of a right triangle? b)Why or why not?
Answer: Yes.
Step-by-step explanation: With a triangle, the hypotenuse, or the longest side, would be on the bottom. The legs, or the other two sides, pretty much build off of that hypotenuse, which makes it a right triangle.
Have a great day! :)
The circumference of a circle is 12.56 centimeters. What is the circle’s diameter?
Answer:
Step-by-step explanation:
Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)
To keep it easy and simple
Hope it helps.
A brainliest is always appreciated.
REALLY EASY, REALLY NEED HELP
My bad VectorFundament20, sheesh
Answer:
y=10x
Step-by-step explanation:
So y is basically 10 times x because each y value, 10, 20, 30 is coming from multiplying the x value by 10. For example, 0 = 10* 0, 10 = 10*1, 20 = 10*2, 30 = 10*3.
Find the solution of the system of equations. 3x-8y = 19
3x + 5y = -46
(-7,-5)
Step-by-step explanation:
3x-8y = 19
minus
3x + 5y = -46
0x - 13y = 65
- 13y = 65
÷-13
y = - 5
Substitute y = - 5 into one of the functions:
3x-8y = 19
-8 x - 5 = 40
3x + 40 =19
-40
3x. = - 21
÷3
x= - 7
Solution is (-7,-5)
Hope this helps!
) Genie’s parents planted a garden that was 9 feet long and 6 1
2
feet wide. Kylie’s parents had more space, so they planted a
garden that was 36 feet long and 6 1
2 feet wide. Without drawing
a picture or doing the multiplication, decide how many times larger
Kylie’s garden is. Explain how you know
Answer:
36/9 = 4 times larger 9x4 =36
common denominator is 9
Step-by-step explanation:
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are congruent.
Answer: ASA
Step-by-step explanation:
In addition to the given information, angle C is congruent to itself by the reflexive property, making ASA congruence.