Answer: 1.25 hours
Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.
A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
a) What is the angular velocity of the wheel? (in radians/sec)
Select an answer
b) At what linear velocity is the hamster running? (in cm/sec)
Select an answer
One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.
The angular velocity of the wheel is 3.665 radians/sec.
The linear velocity is the hamster running is 47.648 cm/sec.
GivenA hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
What is angular velocity?Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.
The angular velocity of the wheel is given by;
[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]
The angular velocity of the wheel is 3.665 radians/sec.
What is linear velocity?Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.
The linear velocity is the hamster running is given by;
[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]
The linear velocity is the hamster running is 47.648 cm/sec.
To know more about Angular velocity click the link given below.
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FIND THE DISTANCE BETWEEN THE GIVEN POINTS: (2, 3) AND (5, 7)
Answer:5
Step-by-step explanation:
rise: 4
run: 3
sqrt(3^2+4^2) = 5
Cole and his friends made a line plot of hours they spend watching TV after school, which is the difference between the greatest amount of time spent watching TV at the least amount time.
Answer:
what
Step-by-step explanation:
Answer:
i need more intel like numbers
Step-by-step explanation:
Find the value of x. Then find the missing angle measures of the polygon
110°
5x
2x
Sum of angle measures: 180°
X=
5x=
2x=
Pls help due today
Answer:
x=10
5x=50
2x=20
Step-by-step explanation:
110+5x+2x = 180 combine like terms and move the constants to the same side
7x=70
x = 10
5(10) = 50
2(10) = 20
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged
Question 7
5 pts
An ice cream shop sold a combined total of 287 ice cream cones in the flavors of
chocolate or vanilla. They sold 75 more vanilla cones than chocolate. How many
chocolate ice cream cones did they sell?
O 181
0106
225
212
Answer:
106
Explanation:
106+181=287
please help ill mark branilest
I think it's the third choice :)) the one you currently have
Find the value of x and AC if the midpoint of segment AC is B. AB = 8x and BC = 6x + 24 Draw and label a picture to help you. x = Question Blank type your answer... and AC = Question Blank type your answer... Help me please!!!!!!
Answer:
x=12
Step-by-step explanation:
plug in 12 to x and results will make sense
How do you write “the sum of b and 4 “as a variable expression
Answer:
4+b
Step-by-step explanation:
while working at the drugstore, kyle earns $15 per hour. how many hours will it take to earn $45
Answer:
3
Step-by-step explanation:
15+15+15=45 or you can just do 15x3
4. Add 2 + 7/10 + 1/2 *
2.75
3.7
32/100
16/5
Answer: 2.75
Step-by-step explanation:
Use the graph shown to answer the question. What is the solution set for the inequality if log2(2x – 1) > 2?
Answer: B
(2.5, ∞)
Step-by-step explanation:
The solution set of the given logarithm inequality will be (2.5,∞).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm function,
log₂(2x - 1) > 2
By log property
2x - 1 > 2 x 2
2x > 4 + 1
x > 5/2
x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).
Hence "The solution set of the given logarithm inequality will be (2.5,∞)".
For more about logarithms
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13% of $67.99 please help me please
Answer:
8.8387 (round to 8.84)
Step-by-step explanation:
To find the percentage of something, convert the percent into decimal form by moving the decimal two places to the left. In this case, the decimal form of 13% is 0.13
Then, multiply this decimal by the number you need to find the percentage of. In this case, that number is 67.99
The result of .13x67.99 is 8.8387.
Answer:
$8.84
Step-by-step explanation:
1.) Start with the 13%
2.) You have 13.
3.) Move the decimal point 2 places to the left.
4.) Now you have 0.13
5.) Multiply 0.13 and 67.99
6.) This equals $8.84
The larger of two complementary angles is 6 degrees less than 7 times the smaller. Find the measure of the smaller angle.
Answer:
Step-by-step explanation:
The sum of two complementary angles is 90.
Let the two angles be x and y.
If x and y are complementary, then x+y = 90
If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)
Substituting y = 7x-6 into the formula above;
x+7x-6 = 90
8x - 6 = 90
8x = 90+6
8x = 96
x = 96/8
x = 12°
Hence the measure of the smaller angle is 12°
Raul and his friends, each of whom weighs 1/20 of a ton, are standing on a truck scale. The total weight shown by the scale is 3/4. How can you find the total number of people on the scale when raul and his friends are weighed?
Answer:
There are 15 friends
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:
a ⇒ b
c ⇒ x
Then: [tex]x=\frac{c*b}{a}[/tex]
where a, b and c are known values and x is the value to be calculated.
In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?
[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]
or, what is the same,
number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]
Solving:
number of people= 15
There are 15 friends
What is the y-intercept of the line that is
perpendicular to y = -3x - 5 and passes
through the point (-3,7)?
A-3
B 1/3
C 8
D 10
Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
A gopher begins at 7 inches below the surface of a garden and digs
another 9 inches. Which expression represents this problem? *
7-9
9-7
-7-9
-7-(-9)
I would seriously appreciate if u helped me TvT
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5+(x-2)=-8[/tex]
Let's subtract 5 from both sides:
[tex](5+(x-2))-5=(-8)-5[/tex]
The left side will cancel. Subtract on the right:
[tex]x-2=-13[/tex]
Now, add 2 to both sides:
[tex](x-2)+2=(-13)+2[/tex]
Again, the left side will cancel. Add the right:
[tex]x=-11[/tex]
And we're done!
Answer:
it should be x=5
Step-by-step explanation:
5+(x-2)= -8
3+x=8
-3 -3
answer is x=5
Please help! The yellow dot is something random I picked!!! Can you help me?I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
14s+107
Step-by-step explanation:
(2s+7)+(12s+100)
14s+107
Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
The equation is 89 = x + (x-9).Remove the parenthesis and combine the like terms. 89 = 2x - 9Add 9 on both sides. 98 = 2x Divide by 2 on both sides. x = 4949 is the age of Alvin. (49-9) 40 is the age of Elga.Hey there!☺
[tex]Answer:\boxed{40}[/tex]
[tex]Explanation:[/tex]
Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.
Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.
[tex]x+x+9=89[/tex]
Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.
First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]
Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]
Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]
Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.
You can also check if the answer is correct by adding their ages.
[tex]40+49=89\ \br \checkmark[/tex]
Elga is 40 years old.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
draw a graph for x= - 4
Answer:
basically it's a vertical line on -4
The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.
Answer:
The train is not moving
Step-by-step explanation:
The graph does not show the train's motion. It shows the train's position, which is constant. ("Distance" is not a measure of motion. It is a measure of position.)
If the train's position is constant, it is not moving.
Use the diagram to help you solve the problem.
A pair of shoes has an original price of $65 but is on
sale for a 20 percent discount. What number can you
multiply by $65 to get the discounted price of $52?
O 0.20
O 0.50
O 0.80
O 0.90
Answer:
C
Step-by-step explanation:
Just took it
your correct answer is C
(0.80)
f(3) = 6x
Help if you can?!
buatlah matriks yang terdiri atas 5 baris dan 3 kolom dengan entrinya adalah 15 bilangan prima yang pertama
[tex]A = \left[\begin{array}{ccccc}2&3&5\\7&11&13\\17&19&23\\29&31&37\\41&43&47\end{array}\right] \\ \\ \\ \\ A^T = \left[\begin{array}{ccccc}2&7&17&29&41\\3&11&19&31&43\\5&13&23&37&47\end{array}\right][/tex]
what is (10y+6) (8y-6) ?
Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
The equation y = mx + c is satisfied when
x=-1, y = 3, and also when x = 2, y=5
Find the values of m and c.
How many times greater is the value of of 2 in 2341 than the value 2 in 1234?
Which function is the inverse of f(x) = 2x+3?
Answer:
f^-1(x)=x-3/2
Step-by-step explanation:
we have f(x)=2x+3
let
y=f(x)
y=2x+3
Exchanges the variables x for y and y for x
x=2y+3
isolate the variable y
2y=x-3
y=x-3/2
let
f^-1(x)=y
f^-1(x)=x-3/2
Answer:
Step-by-step explanation:
The answer is B on Edgenuity
f^-1 (x) = 1/2x - 3/2
INTERPRETING EXPRESSIONS:
ln the expression 9x - 9, the variable is ___