A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?
a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second
Answer:
16.86 ft/s
Step-by-step explanation:
Given that,
Angular speed of a carousel, [tex]\omega=14\ rev/min[/tex]
The diameter of the carousel, d = 23 feet
We need to find the speed of the carousel and jump on.
[tex]\omega=14\ rev/min=1.46\ rad/s[/tex]
Radius, r = 11.5 feet
Let v is the velocity. So,
[tex]v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s[/tex]
Hernce, the correct option is (d) "16.86 ft/s"
An ant is walking at a speed of 42 centimeters in 5 minutes.
Part A
At what rate did the ant walk?
Part B
A slug moved a distance of 30 centimeters. It moved at a rate that was 2.4 centimeters per minute slower than the ant. For how many minutes was the slug moving?
Answer:
Part A. the ant walked at a speed of 8.4 centimeters per minute.
Part B. the slug was moving for 5 minutes because 8.4 minus 2.4 is 6 and 6 times 5 is 30.
Step-by-step explanation:
The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of radioactive radium will remain after 275 years?
Answer:
88.76%
Step-by-step explanation:
Given that :
Half life of radium = 1599 years
Percentage that will remain after 275 years
Using the relation :
y = Ae^kt
Where ; A = mass of radium and t = half life = 1599, A = initial mass
By 1599, the mass of radium will be half its initial
Hence,
y = initial / 2 = A /2
A/2 = Ae^kt
To obtain the value of k
0.5 = e^1599k
In0.5 = 1599k
k = (In0.5)/1599
k = - 0.0004335
Hence,
y = Ae^-0.0004335t
Amount of radium. After 275 years : t = 275
y = Ae^-0.0004335*275
y = A0.8876191
y = 0.8876191 of intial amount
Hence, 0.8876191 * 100%
= 88.76%
There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:12
Step-by-step explanation:I did the math
4
Noah has a bag of candies
that he splits between
himself and 3 friends. His
brother then gives him 8
more candies. If he now has
36 candies, how many were
in the bag to begin with?
Explanation too please
Answer:
28
Step-by-step explanation:
36 - 8 = 28
Answer:
112
Step-by-step explanation:
36-8= 28. then 28 x 4 = 112 candies total
Construct a truth table for the given statement.
(~q^p)V(q^p)
Complete the truth about table
I think what I have done is wrong please help
Answer:
I'm going by lines
TTFFTTTFTTFTFTFFFFFFTFFF. A shopper paid $500 for an item marked $400. What was the percent increase?
Answer:
.25=25%
Step-by-step explanation:
Pls can some one help if you like
A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.
The slope of the line that represents the height of the car in meters in terms of time in seconds is Answer 1
If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is answer2
meters.
tell me the answer pls
in the problem (5x8) + 3^2(7) which step should you perform last
Answer:
3^2(7)
Step-by-step explanation:
(5×8)+3^2(7)
40+3^2(7)
40+9(7)
40+63=103
PLEASE ANSWER!!!! I WILL MARK YOU AS BRAINLIEST PLEASE SCHOOL IS STRESSFUL AND I JUST WANT TO GET THIS DONE!!!
Answer:
Negative, Zero, Undefined, Positive, -10, -2/3, 3/5
Step-by-step explanation:
Answer:
just follow what it says for #5 and above.
Step-by-step explanation:
Look up angels
See witch one looks like the one you have
See what it says
Put it on the paper.
`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` (3, 8) and (4, -2)
(-3, 2) and (6, -4)
I didn't copy off of google!Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on new necklaces in order
to own a total of 18 necklaces?
Answer:
16 dollars
Step-by-step explanation:
she already owns 2 necklaces
18-2=16
1 necklace =1 dollar
16x1=16
Answer:
16 dollars.
Step-by-step explanation:
She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.
Hope it helps!
Write the product using exponents.
(−t)⋅(−t)⋅(−t)⋅(−t)⋅(−t)
Using exponents, the product is
what is 118.4 billion in standard notation and scientific notation
What is the measure of x?
a.144°
b.18°
c.72°
d.36°
1. On Monday, Sarah
started reading her book
that has 26 chapters. On
Monday, she read 9/26 of
her book. On Tuesday she
read 6/26 of her book. How
much does she have left to
read?
Answer:
Sara have 11 chapters left to read.
Step-by-step explanation:
Total chapters Book has = 26
On Monday Sarah read = [tex]\frac{9}{26}\ of \ 26 \ chapters = \frac{9}{26}\times \ 26 \ chapters=9 \ chapters[/tex]
On Tuesday Sarah read = [tex]\frac{6}{26}\ of \ 26 \ chapters = \frac{6}{26}\times \ 26 \ chapters=6 \ chapters[/tex]
Total Chapters read by Sarah = [tex]9+6= 15 \ chapters[/tex]
Chapters left to read by Sarah = [tex]26-15 = 11 \ chapters[/tex]
So, Sara have 11 chapters left to read.
Nicole is buying some souvenir keychains for her friends. Her total bill is $11.40. If the keychains are $0.95 each, how many keychains did she buy?
pleaseeeeeeeeeeeeeeeeeeee helpppppppppppp
Answer:
12 keychains
Step-by-step explanation:
$11,40 : $0,95 = 12
which is a correct statement about the description to less than the quotient of a number cubed and 16 increased by 8 when n equals 4
Answer
12
Step-by-step explanation:
Get equation: (n^3/16) + 8
Substitute: ((12)^3/16) + 8
Solve: 64/16 + 8
4 + 8
= 12
help please please please
Answer: the answer is x=30
Step-by-step explanation:
which sentence most accurately describes how to solve for perimeter multiplying dividing subtracting or adding all sides of the polygon
Answer:
Is there supost to be an image or options orrr?....
Step-by-step explanation:
I will give brainliest and thanks
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
Answer:
The correct answers are a, c and d
Step-by-step explanation:
instructions: the polygons in each pair are similar. find the missing side length.
Answer:
it's 19
Step-by-step explanation:
18 - 3 = 15
so the difference between them is 15
so since you wanna fine the "?" on the right, you would add 4+15, which gives you 19
(also 3 and 4 four are only one number apart, so you could have just added (+1) to 18) :)
ordered pairs satisfy the equation 3y−9x=9
Answer:
9
Step-by-step explanation:
3 (6)-9 (1)=9
18-9=9
i think that is the answer
If a water dispenser pours 2 1/3 gallons a minute. How long does it take to pour 6 gallons in mixed number form?
Answer:
Step-by-step explanation:
3 1/2
Help me out? Please! Thank you!
Answer:
A
Step-by-step explanation:
pls give brainliest
The circumference of a circle can be found using the formula C = 2πr.
Which is an equivalent equation solved for r?
Answer:r=C/2π
Step-by-step explanation:
Mack baked three different cakes, each requiring varying amounts of sugar. The first cake needed 1 and 1/4 cups of sugar, the second one needed 1 and 3/4 cups and the last one needed 1 and 2/4 cups. How much sugar was needed to bake the cakes?
A. 3 and 1/4 cups
B. 3 and 3/4 cups
C. 4 and 1/2 cups
D. 5 cups
Answer:
C.
Step-by-step explanation:
Add the whole numbers first
then add 1/4 and 3/4 which makes 4 cups then 2/4 =1/2
4 and 1/2 cups
Question 10 of 10
What is the value of y?
604
12
12
80A
A
12
O A. 60°
O B. 120
O C. Cannot be determined
O D. 36
Answer:
A. 60°
General Formulas and Concepts:
Geometry
Equilateral Triangle - All side lengths and angles are equal to each otherStep-by-step explanation:
From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.
Therefore, m∠y must equal 60°.
Catherine has been managing her company for a couple of years. She now plans to expand her business by bringing in fresh funding through a new stock issue. She would like to inform her investors about this development. What would Catherine use to inform investors about this development in her company?
Catherine would use _________ to inform investors about the development in her company.
Answer:
I would say that for Catherine, the best place to inform her investors about a new stock issue would be a news release on her company website so in that way it is made public, informs the investors and may attract more capital investment in the company as well.Step-by-step explanation:
Answer:
I believe the answer is company website
Step-by-step explanation:
if i'm incorrect i'm sorry
When does a parabola open upward?
a.
when p is negative
c.
when p is positive
b.
when h is positive
d.
when h is negative
Please select the best answer from the choices provided
A
B
C
D
Answer:
C - When p is positive
Step-by-step explanation:
Just took the test
what is ─6d – 10 = 10 – 4d solved for the variable
Answer:
d = -10
Step-by-step explanation:
(d is the variable)
-6d - 10 = 10 - 4d
+4d +10
-2d = 20
-2d/-2 20/-2
d = -10
:)
Answer:
d = 2
Step-by-step explanation:
Simplify both sides.
6d − 10 = 10 − 4d
6d + −10 = 10 + −4d
6d − 10 = −4d + 10
6d − 10 + 4d = −4d + 10 + 4d
10d − 10 = 10
10d − 10 + 10 = 10 + 10
10d = 20
20 ÷ 10 = 2