The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second? need the unit rate too.
Answer:
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Number of revolutions done, measured in revolutions.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:
[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]
[tex]\dot n = 4\,\frac{rev}{s}[/tex]
The flywheel rate of the flywheel is 4 revolutions per second.
Answer:
The answer for that question is 4 per second
Step-by-step explanation:
Just put that answer i know it on your choices i looked up goodle for this answer so your welcome
Hope this help
Pls leave a thanks if it did
Find the slope of the line
Answer:
0
Step-by-step explanation:
convert 2 3/7 to an improper fraction
Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...
Step-by-step explanation:
Explain! Which one is correct?
Answer:
C) $5/1 ticket
Step-by-step explanation:
$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.
1 quart= 4cups=1.96, Each cup coat?
Answer:
Step-by-step explanation:
Sorry but please give detailed question
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation:
Graph the linear function f(x) = 3 – 6x .
Answer:
put one point at (0,3)
put another point at (1,-3)
draw a line between them
Step-by-step explanation:
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The standard formula for calculating the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept of the line
Given the equation to graph expressed as g(x) = 3 - 6x
First, we need to get the x and y-intercept of the line expressed as:
For the x-intercept, y = 0
0 = 3 - 6x
6x = 3
x = 0.5
The x-intercept is at (0.5, 0)
For the y-intercept, x = 0
y = 3 - 6(0)
y = 3
The y-intercept is at (0, 3)
Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;
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In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Answer:
0.625
Step-by-step explanation:
15 divided by 24 which equals 0.625
Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
Which sentence can represent the inequality
Given the equation y=1/3x+2 what is the rate of change?
Answer:
1/3
Step-by-step explanation:
thats the slope so im assuming :/
Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts
Answer:
12.54
Step-by-step explanation:
Question 3: Determine the missing base in the equation problem below. 75eight = 23 base
Answer:
29
Step-by-step explanation:
Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:
[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]
Hence the missing base is 29
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric
Answer:
a geometric series
Step-by-step explanation:
How many solution does 8(3x-6=6(x+8) have
Answer:
Step-by-step explanation:
at most 1.
8(3x - 6) = 6(x + 8)
24x - 48 = 4x + 48 Subtract 4x
24x - 4x - 48 = 4x -4x + 48 Combine
20x - 48 = 48 Add 48 to both sides.
20x = 96 divide by 20
x = 96/20
x = 4.8
No other answer is possible.
If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book
25×1/23=1.08695652174.
25+1.08695652174=26.08695652174
Select all the possible (x,y) coordinates for the following linear equation y=3x+2
Answer:
x = 2/3
Step-by-step explanation:
To find x-intercept/zero, subtract y = 0
0 = 3x + 2
Move variable to the left-hand side and change its sign
-3 = 2
Divide both ides of the equation by - 3
x = - 2/3
Solution
x = - 2/3
Alternate form
x = - 0.6
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates
point S.
Answer:
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Step-by-step explanation:
Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:
[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)
Now clear S in the previous expression:
[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)
Then, the coordinates of point S are:
[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]
[tex]S(x,y) = (8, -18)[/tex]
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25
b. 2
c. 3
d. 1
Answer:
[tex]a = 1[/tex]
Step-by-step explanation:
Given
[tex]4x - 3(x + a) = 2[/tex]
[tex]x = 5[/tex]
Required
Determine the value of a
[tex]4x - 3(x + a) = 2[/tex]
Substitute 5 for x
[tex]4(5) - 3(5 + a) = 2[/tex]
Open all brackets
[tex]20 - 15 - 3a = 2[/tex]
[tex]5 - 3a = 2[/tex]
Collect Like Terms
[tex]-3a = 2 - 5[/tex]
[tex]-3a = -3[/tex]
Solve for a
[tex]a = -3/-3[/tex]
[tex]a = 1[/tex]
2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
16 less than a number r divided by 8
Answer:r/8>16
Step-by-step explanation:
r/8-16
It says 16 less, so we have to subtract 16 from r divided by 8.
That would be r/8-16.
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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Please help!!!!!!!! What is the measure of angle 4?
Answer:
30°
Step-by-step explanation:
<4=<2=30
(vertical opposite angles are equal)
Answer:
30 degrees
Step-by-step explanation:
Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.
Which sentence is true is 0.45<0.5
True.
When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.
25x 10 ^ 6 in standard form
25x10⁶ = 2.5x10⁷=25000000
#Learn more
-34/51 in standard form
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Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
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What volume,in cubic inches,is equivalent to 15 cubic feet?
Answer: 1 feet = 12 inches
1 cubic feet = 12^3 = 1728 cubic inches
15 cubic feet = (15)(1728) = 25,920 cubic inches