Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. sometime later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. what is the angular acceleration?
Explanation:
it is not necessary to know for this question, but FYI
1 rad = 180/pi = 57.29577951...°
in essence it describes the arc angle of the arc with the length = radius.
anyway,
we are only dealing with relative sizes here all expressed in radians.
the original spin rate or angular velocity is 5.0 rad/sec.
that means in 1 second it spins by 5 radians (a point on the surface moves by that many degrees).
remember, acceleration is speed/time or distance/time².
then we measure again - after the ball moved by a total angle of 5.5 radians. so, it was longer than 1 second.
so, how much time passed ?
time = distance / speed
5.5 rad / 5.0 rad /1 sec = 1 sec × 5.5 rad / 1×5.0 rad =
= 5.5 sec / 5.0 = 1.1 sec
so, the acceleration was
1.5 - 5.0 = -3.5 rad/(1.1 sec)² = -3.5 rad / 1.21 sec² =
= -2.892561983... rad/sec²
What percentage of canadian forests are protected from economic activities? a. 8% b. 20% c. 50% d. 90% please select the best answer from the choices provided a b c d
Answer:
A 8
Explanation:
you should include detail like how fast he walked
Answer:
history the impact of pseudoscientific
If a concession owner pays $0.50 per pretzel, and it costs the owner $1.00 to have the pretzel prepared and served, what should the owner charge per pretzel if he wants cost to be 60% of the price?
The owner should charge an amount of $2.50 per pretzel, if the cost price of 60% is desired.
What is cost price?The cost borne by a producer to manufacture or produce such goods and sell them at a higher price is known as the cost price. In this case, the cost price if $1.50 per pretzel.
If such cost price is desired to be 60% of the selling price, then the selling price will be,
[tex]\rm Sell\ Price= \dfrac{Cost\ Price}{Desired\ Percentage}\ x\ 100\\\\\rm Sell\ Price= \dfrac{1.50}{60}\ x\ 100\\\\\rm Sell\ Price= \$2.5[/tex]
Hence, the selling price should be $2.5 if the desired cost price is 60% of the same.
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Which expression is equivalent to (2x + 9)² - (x-7)?
Answer:
[tex]\boxed{\bf B. \: 4 {x}^{2} + 35x+88}[/tex]
Explanation:
In order to find what expression is equivalent to (2x + 9)² - (x-7), we'll use the binomial theorem (a+b)^2 =a^2+2ab+b^2 to expand (2x+9).
[tex]\bf 4 {x}^{2} +36x+81 - (x - 7)[/tex]
[tex]\bf 4 {x}^{2} +36x+81 - x+7[/tex]
Let's combine like terms. 36x + (-x) = 35x
[tex]\bf 4 {x}^{2} + 35x+81+7[/tex]
Add numbers. 81 + 7 = 88
[tex]\bf 4 {x}^{2} + 35x+88[/tex]
Therefore, our answer is Option B.
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A company has a property tax bill for $6,000 this year. it expects property values to rise by 8% each year, which will increase the property tax bill by 8% each year. to the nearest dollar, what is the expected amount of property taxes the company will pay for this year and the upcoming three years?
Explanation:
you have to multiply 8% by 6000 then you will get your answer
Answer:
C. $27,037
Explanation:
which equation represents a line that passes through (5 1) and has a slope of
The equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?The equation of a line is given as:
[tex]\rm y=mx+c[/tex]
The equation for the point on slope line is given as:
[tex]\rm (y-y_0)=m(x-x_0)[/tex]
Substituting the given values and the slope:
[tex]\rm (y-1)=\dfrac{1}{2}(x-5)[/tex]
Thus, the equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
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If audrey's home is worth $160,900, and is assessed at 60 percent of market value, what is her assessed valuation?
In this question, it is given that,
Audrey's home is worth $160,900 and is assessed at 60% of market value .
And we have to find Audrey's home assessed value .
And for that we have to find 60% of $160,900. That is 0.6 * 160900.
Therefore the assessed value of Audrey's home is $96450 . And that's the required answer .
Read this sentence from ulysses by james joyce. pain, that was not yet the pain of love, fretted his heart. which word provides the best clue to the meaning of fretted?
Answer:
I think its Love or pain
Explanation:
What is one wish that may be expressed in a living will?
A. The wish to assign custody of children
O B. The wish to assign an executor
O C. The wish to become an organ donor
O D. The wish to distribute assets
Answer: OD
Explanation:
Answer: C. The wish to become an organ donor
Explanation:
