Answer: 15 second
Step-by-step explanation:
Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
How many seconds elapse before Amy passes Joey on the track?Joey starts running at v₁ = 10 m/sec
Amy starts running at v₂ = 12 m/sec
we know that d = v [tex]*[/tex] t then t = d/v
Joey will take 400 / 10 = 40 seconds
Amy will take 400 / 12 = 33.33 seconds
To check Joey 10 [tex]*[/tex] 40 = 400
And the Amy 12 [tex]*[/tex] 33.33 = 333.3
That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
Therefore, 12 seconds elapse before Amy passes Joey on the track.
To learn more about arithmetic operations
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A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
An NBA trainer wants to know if his stretching routine is helping the players on his team jump higher. He records the average height jumped for 8 players before completing his stretching routine, and then again after they have stretched. What is the parameter? Group of answer choices dbar = the true sample mean difference in jump height mu_d = the true sample mean difference in jump height dbar = the true population mean difference in jump height mu_d = the true population mean difference in jump height
Answer:
a. mu_d = the true population mean difference in jump height
Step-by-step explanation:
In statistical parlance, observations used for a study could either be randomly chosen points or members of a large group or population, this small chosen observation obtained from a larger group is called the sample, the statistical measures or characteristic of such group is called statistic; while statistical characteristic, computations or measurement of the entire group of observations is called the parameter.
Mean of sample are usually represented with a bar sign on top such as (xbar) ; while mean of a population is represented as μ.
Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer!
Please view the screenshot of my question........
Answer:
The answer is D. 14
Step-by-step explanation:
If you were to plug in 14 for x, it would look something like this:
[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]
Solve 14-4
[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]
if you were to multiply 5 and 7 by 2, you would get
[tex]\frac{10}{14}[/tex].
This makes the equation true, because
10/14 does equal itself (10/14)
Have a nice day!
Two of the angles are 90 degrees and 40 degrees. What is the measure of the missing angle? *
Enter only a two digit number.
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. Let k>0 be the constant of proportionality. Assume the coffee has a temperature of 200 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 190 degrees in a room at 62 degrees.
Required:
a. Write an initial value problem for the temperature T of the coffee, in Fahrenheit, at time t in minutes.
b. Solve the initial value problem in part (a).
Answer:
Tt = Ts + Ce^-kt
Tt = 62 + 138e^-0.0068t
Step-by-step explanation:
The initial value problem for the Newton cooling rate is :
Tt = Ts + Ce^-kt
Initial temperature,when freshly poured Ti = 200°F
Temperature after 11 minutes = 190°F
Temperature of room, Ts= 62°F
Using the relation :
Tt = Ts + Ce^-kt
Temperature after time, t
When freshly poured, t = 0
k = constant of proportionality
We can then solve for C and k as follows :
200 = 62 + Ce^-0k
200 = 62 + C
C = 200 - 62 = 138°F
Using the Temperature after 11 minutes ; we can find, k, proportionality constant:
Temperature, Tt after, t = 11 minutes = 190
Tt = Ts + Ce^-kt
190 = 62 + 138e^-11k
128 = 138e^-11k
128 / 138 = e^-11k
0.9275 = e^-11k
Take In of both sides :
−0.075223 = - 11k
k = −0.075223 / - 11
k = 0.0068
The model function becomes :
Ts = 62 ; C = 138
Tt = 62 + 138e^-0.0068t
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
4.0681 to the nearest thousand
Solve each system of equations using any method.
y = 5x +7
y = 4x - 3
Answer:
x= -10
y= -43
Step-by-step explanation:
since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3
and than you can just start with the variables OR numbers and then simplify
5x+7=4x-3
5x+10=4x
10= -x
x= -10
so -10 for x
plug it in to one of your 2 equations to get y
5(-10)+7= y
-50+7=y
y= -43
Write 383 in expanded form
Answer:
300 + 80 + 3
PLease mArk me brainliest
What is the solution to the inequality
below?
X+3> 7
A X 4
B x 4
C3x7
PLEASE HELP !
Answer:
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
Step-by-step explanation:
Given
The inequality is given by
[tex]x+3>7[/tex]
To determine
What is the solution to the inequality?
Solving the given inequality
[tex]x+3>7[/tex]
Subtract 3 from both sides
[tex]x+3-3>7-3[/tex]
Simplify
[tex]x>4[/tex]
Thus,
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?
Round the fraction to the nearest whole number. 7 3 8
Answer:
9
Step-by-step explanation:
4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.
they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer
helpsjdjdjdjcjcjfjfjfjcjfjfjxjff
Answer:
that is right what u have right there
Step-by-step explanation:
Tell whether a triangle can have the given angle measures. 5 2/3∘, 64 1/3∘, 87∘
sooo
5 2/3+64 1/3+87 = 157
that aint right- a triangles angles has to add up to 180
this triangle b trippin
18 = 3 (3x - 6) help please!
Answer: 4
Step-by-step explanation:
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?
In which equation is the product greater than 3?
A. 3/4x3
B. 3/2x3
C. 1/12x3
D. 9/10x3
Answer:
B
Step-by-step explanation:
all you need to do for this is multiply the numerator by the 3.
3/4 times 3 = 9/4- thats not more than 3
3/2 times 3 = 9/2 - thats more than 3
1/12 times 3 = 3/12- thats not more than 3
9/10 times 3 = 27/10 thats not more than 3
could you give me brainliest I need to complete this level
20x=-58-2y
17x=-49-2y
Answer:
20x = -58 - 2y( Ans~ x= -29/11)
17x = -49 - 2y (Ans~ x = -49/19)
Step-by-step explanation:
(1) 20x = -58 2x
20x + 2x = -58
22x = -58
x = -29/11
(2) 17x = -49 - 2x
17x + 2x = -49
19x = -49
x = -49/19
U WELCOME!!
Answer:
y=1
x=-3
Step-by-step explanation:
20x=-58-2y
20x/20=(-58-2y)/20
x=(-58-2y)/20
17x=-49-2y
17x/17=(-49-2y)/17
x=(-49-2y)/17
(-58-2y)/20=(-49-2y)/17
17(-58-2y)=20(-49-2y)
-986-34y=-980-40y
add 40y to both sides
6y-986=-980
add 986 to both sides
6y=6
divide both sides by 6
y=1
substitute
20x=-58-2(1)
20x=-60
x=-3
Proof: (substituting x & y values in original equations)
20(-3)=-58-2(1)
-60=-60
17(-3)=-49-2(1)
-51=-51
Pls help I’ll brainlest for the right answer
Answer:
29110.87
Step-by-step explanation:
mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together
Please smart people
Consider the graph of a unit circle and a point traveling along the circumference of the circle. Which
statement is true?
O A. The point travels a distance of about 6 units in one revolution around the circle.
B. The point travels a distance of about 1 unit in one revolution around the circle.
O C. The point travels a distance of about 3 units in one revolution around the circle.
D. The point travels a distance of about 2 units in one revolution around the circle.
solve the equation
-2x +8 = -10
x/-5 + -15 = -22
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit-ups
24 sit-ups
52 sit-ups
224 sit-ups
Answer:
224 sit-ups
Step-by-step explanation:
multiply 56 by 4
A farmer sells 6.3 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.8 Kilograms
Step-by-step explanation:
Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.
6.3-4.5 = 1.8
So, there are 1.8 Kilograms of apples.
Find the greatest common factor of 16 17 20
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.
brainliet, please? hee hee
What are the next three terms in the following sequence 3 6 12 24 plz help
Answer:
3 6 12 24 48 96 192
Step-by-step explanation:
The answer is 48 96 192
Answer:it equals 96 hope this helps
Step-by-step explanation:
Please help with question 5 an 6 if you can!
To find the percentage divide the colums with yes by the total column and divide the columns with the no by the total columns
also divide the men (both yes and no) numbers by the totals
How do we write equations from word problems?
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
