Answer:
373.43 rev/min
Step-by-step explanation:
Given data
r= 1.5ft
v=30 miles per 45 minutes
convert miles per hour to ft per minute
=30miles/45 minutes* 5280ft/1 mile
=158400/45 minutes
v=3520 feet per minute
so
v=wr
substitute
3520= w*1.5
w= 3520/1.5
w=2346.66 rad/min
Convert to rev/min
=2346.66 rad/min*1rev/2*π rad
=2346.66/2*3.142
=2346.66/6.284
=373.43 rev/min
Hence the answer is 373.43 rev/min
This cylinder has a volume of 121 cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
Answer:
Volume 6082.12338 cm3
Step-by-step explanation:
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
The different outfits that Alphonsus can put together with his new clothes will be 12.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.
Assume that the different outfits that Alphonsus can put together with his new clothes be [x].
[x] = 4 x 3 = 12
[x] = 12
Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.
To solve more questions on functions, expressions and equation modelling, visit the link below -
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Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.
The description of what each ordered pair means is; as described below
How to interpret Ordered Pairs?The table is missing but from online sources, we can say the following;
An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.
An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.
Thus, the Ordered Pair is (x,y)
Where,
x is the distance measure of a point from the primary axis "x"
y is the distance measure of a point from the secondary axis "y"
In the Cartesian plane, the point where the two lines meet at “0” is the origin.
Read more about Ordered Pairs at; https://brainly.com/question/1528681
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What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
Christopher picks a marble at random. without putting the first marble back, he picks a second marble at random. is it independent or dependent
Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?
Answer:
104 gallons
Step-by-step explanation:
320/31=10.323 miles per gallon
1070/10.323=103.66 <---round to whole number
104 gallons needed
What is the least number n with the property that, in every group of n people, there are at least three people who are all friends
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
A surveyor has taken- if you know this please help
Step-by-step explanation:
the distance is equal to... 800²+700²-2×800×700×cos70=733,4
Consider the system of liner equations 2y=X+10
3y=3x+15
Help help help help help
I gotta take a big śhit
please help asap!!!!
Answer:
7 units
Step-by-step explanation:
t - 2/3 = 5/6 pls help
6th grade
Answer:
t =3/2 im in 7th ;)
4r + 17 = 23. here is a diagram and its corresponding equation. find the solution to the equation and explain your reasoning.
Answer:
r=1.5
Step-by-step explanation:
4r+17=23 *Subtract 17 from each side
4r=6 *Divide both sides by 4
r=1.5
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer:
its a the sum of the areas of Square N and Square L is equal to the area of Square K.
Step-by-step explanation:
PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY
Use the rational zeros theorem to list all possible rational zeros of the following.
h(x)=-3x^4+5x^3-8x^2-3x+2
Be sure that no value in your list appears more than once.
Answer:
Step-by-step explanation:
[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]
roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]
one third of a number, w, reduced by 7?
Answer:
4
Step-by-step explanation:
A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be?
Answer:
50 meters
Step-by-step explanation:
the island is 50 meters away
Answer:
About 54 meters or 53.8 meters
Step-by-step explanation:
Pythagorean theorem a^2+b^2=c^2
20^2+50^2=53.8^2
Find the slope of the line that contains the pair of points.
(3, 4) and (4,1)
The slope is
Answer:
-3
Step-by-step explanation:
1-4/4-3 is -3/1 which is -3
Karen is playing a board game in which she rolls a fair six-sided number cube repeatedly until she rolls a six. Once she rolls a six, she can advance her piece on the board. What is the probability that the first six Karen rolls is on her fifth roll?a. 1/6.b. 5/6.c. (1/6)2.d. (5/6)4(1/6).e. (5/1)(5/6)4(1/6).
Answer:
i say b.
Step-by-step explanation:
Answer:
I say d
Step-by-step explanation:
It seems most correct, 4 fails and one correct, the fifth try
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°how earth and venus the same?
Answer:
Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.
Step-by-step explanation:
kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.
Simplify.
91-^ + 6-^
I don’t know either I’m currently looking for the answer
An ecological group suspects lobsters are consuming dangerous levels of mercury in a region of the world. Dangerous levels of mercury are classified when they reach beyond 6.5 parts per million. A random sample of 25 lobsters in the region were tested and the data is shown in the stemplot.
Stemplot for Mercury Levels.
2|2 4;
2|;
3|1 4;
3|5 8;
4|0 2;
4|5 6;
5|0 1 3 3 4;
5|6 8 9;
6|3 4;
6|6 7 8;
7|1 2;
7|
Key: 2|2 = 2.2 parts per million
Part A: What proportion of the lobsters in the sample have dangerous levels of mercury in their systems? (4 points)
Part B: Construct and interpret a 95% confidence interval for the mean mercury levels of the lobsters if the sample of 25 lobsters has a mean mercury level of 5.05 parts per million and standard deviation of 1.45 parts per million. (6 points)
Part A: 5 out 25 lobsters have dangerous levels of mercury
Part B: the 95% confidence interval is given by (4.45, 5.65)
since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064
Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)
For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65
Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches
Answer:
C. 8 inchesStep-by-step explanation:
Note. The original question is attached.
Solution:
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
The value of x is:
x = 1/2*16 = 8 inchesCorrect option is C
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
Divide: 8a^8–20a^6 +2a^4/
4a^3
Answer:
This comes out as 2a⁵ - 5a³ + a / 2
Step-by-step explanation:
We could use long division for this but since the denominator is a single term, we can just divide each term by that individually
[tex]\frac{8a^8 - 20a^6 + 2a^4}{4a^3} \\\\= \frac{8a^8}{4a^3} - \frac{20a^6}{4a^3} + \frac{ 2a^4}{4a^3} \\\\= 2a^5 - 5a^3 + \frac{1}{2}a[/tex]
Yesterday 170 guests at a hotel for room service, and 255 guests did not call for room service. What percentage of the guests at the hotel call for room service?
A - 60%
B - 15%
C - 40%
D - 85%
Answer: 40%
Step-by-step explanation:
170+255=425 total guests
170/425=0.4
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
A man walks five miles east, and then walks five miles west. What is the total distance from his starting point?
Answer:
0 miles
Explanation:
Step 1) -----> 5 miles west
Step 2) <----- 5 miles east
So in conclusion I think that the man came back to where he started.
Compass:
N
W E
S
Answer:
15 miles.
Step-by-step explanation:
5 + 10 = 15
5 represents the fact that he walked 5 miles east, and then if he were to walk from there towards the west, that would be 10 miles because if its 5 miles from his starting point to the east, then it would be double from the east to the west so if you add 5 miles and 10 miles, you should get a total of 15 miles.
I hope this helps you :D