(a)
KE = m v^2 / 2 = (1200 kg)(20 m/s)^2 / 2 = 240,000 J
(b)
The energy is entirely dissipated by the force of friction in the brake system.
(c)
W = delta KE = KEf - KEi = (0 - 240,000) J = -240,000 J
(d)
Fd = delta KE
F = (delta KE) / d = (-240,000 J) / (50 m) = -4800 N
The magnitude of the friction force is 4800 N.
mark brainliest if correct
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30
Answer:
A) 5+3p ≥ 30
Step-by-step explanation:
The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)
If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)
A rectangle of area seven square centimetre is cut into three equel rectangle what is the area of each
7cm^2=2.33cm^2 for each rectangle
Find f(2) If f(x) = (x + 1)2.
Answer:
f(2)=9
Step-by-step explanation:
Four boxes of cookies cost $18 how much does one box of cookies cost
Answer:
$5.50
Step-by-step explanation:
Answer:
You would get 4.5 as your answer or 4 1/2
Step-by-step explanation:
You literally just do 18/4
And you get your answer
Scenario: Does the age at which babies learn to crawl depend on the time of the year that the babies were born? Data were collected from parents who brought their babies into the University of Denver’s Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age in which their child first began to crawl. The resulting data were grouped by month of birth: January, May, and September.
The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?
3. Last week Hailey sold 40 raffle tickets for a school fund raiser. This week she sold 72 tickets. What is the percent of increase in the number of raffle tickets sold?
Answer:
40%
Step-by-step explanation:
Divide 72/40 which gives you 1.8 multiply by 100 gives you 180=1.80
72/ 1.80
40%
josephin is going on a run around the lake. she knows the distance around the lake. but she would like to complete her run in a certain amount of time. josephine knows she can use the formula d= rt.
which equation correctly rearranges the formula to find the time it will take her to run around the lake?
look at picture and tell me if it is a, b, c, or d.
Answer:
A. [tex]t = \frac{d}{r}[/tex]
Step-by-step explanation:
Given
[tex]d = rt[/tex]
Required
Determine the time
From the question, we understand that:
[tex]d = distance[/tex]
[tex]r = rate[/tex]
[tex]t = time[/tex]
This question implies that we make t the subject of formula.
[tex]d = rt[/tex]
Divide both sides by r
[tex]\frac{d}{r} = \frac{rt}{r}[/tex]
The equation becomes:
[tex]\frac{d}{r} = t[/tex]
Reorder the equation.
[tex]t = \frac{d}{r}[/tex]
The correct option is (a) [tex]t = \frac{d}{r}[/tex]
`y=2x+1` was a positive slope because...
Answer:
☆This is because ascending, not descending when looking on a graph.
☆The slope's number is a positive number.
Who knows the answer for this question
Answer: 7
Work: So, the goal is to get z alone, so we are going to add 85 on both sides, cancelling on the side it's currently on. So, the new equation is going to be 25z = 175. Then, to get z even more lonely, we are going to divide 25 on both sides, and again cancelling it on the side it's currently on. So, the answer is z = 7. I hope this helps, and Happy Holidays! :)
You have 3/8 of a cake. You divide the remaining cake into 6 equal pieces. What fraction of the original cake is each piece? *
if you have a class with 32 students and 16 of them are boys how many girls are there in the class
Answer: if there are 32 students in the class and 16 are boys so the other half well be 16 girls. 16 + 16 = 32. Sooo the answer is 16 girls
Step-by-step explanation:
Solve for points....
Answer:
Step-by-step explanation:
For Mr Rowley,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{12}{14}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
For Ms Rivera,
Ratio of Number of home works to the number of exit tickets = [tex]\frac{36}{42}[/tex]
= [tex]\frac{6}{7}[/tex]
= 6:7
Since, both the ratios are same, fractions will be proportional.
[tex]\frac{12}{14}=\frac{36}{42}[/tex]
Before Buddy the Elf goes crazy pushing all of the buttons on the elevator, only 4 buttons are lit up out of 79 floors. About what percent is this?
Can anyone help a girl out?
Answer:
5%
Step-by-step explanation:
DIvide 4 by 79
Angie divides the polynomial function f (x)+x3+3x2-7x-21 by (x+3) what can she conclude from the fact that the remainder is equal to 0
Answer:
Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7
Step-by-step explanation:
Hope this helps
And I like your profile pic
The given polynomial is divisible by x+3 because f(-3)=0
So , the remainder is equal to 0
Her conclusion is correct.
Given :
Angie divides the polynomial function
[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)
Apply remainder theorem to check whether the remainder is equal to 0
If a polynomial p(x) is divisible by (x-a), the remainder obtained is P(a)
x+3 is the divisor
Lets set the divisor =0 and solve for x
[tex]x+3=0\\x=-3[/tex]
Now we plug in -3 for x in given f(x) and see whether f(-3) =0
[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]
So, f(-3)=0 and hence the remainder is 0
Her conclusion is correct
Learn more : brainly.com/question/19908280
In a random sample of 400 items where 82 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT=+0.25. Suppose someone is testing the null hypothesis H0: π=0.20 against the two-tail alternative hypothesis H1: π≠0.20 and they choose the level of significance α=0.01. What is their statistical decision? What is the statistical decision? Determine the p-value. The p-value for the given ZSTAT is p-value=nothing. (Type an integer or a decimal. Round to three decimal places as needed.)
Answer:
Z - statistic = 0.25
P-value
P(Z=0.25) = 0.802587
The result is not significant at p<0.01
Step-by-step explanation:
Step(i):-
Given the random sample size 'n'' = 400
A random sample of 400 items where 82 were found to be defective
Sample proportion
[tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]
Given Population proportion
P = 0.20
Null Hypothesis : P = 0.20
Alternative Hypothesis : P≠ 0.20
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]
Z - statistic = 0.25
Level of significance =0.01
P-value
P(Z=0.25) = 0.802587
Conclusion:-
The result is not significant at p<0.01
Which system of equations has no solution?
A.
y = 7x +5
y = 7x + 5
B.
3x - 5y = 10
-3x + 5y = -10
C.
y = 3x - 2
y = 3x + 5
D.
3x - 5y = 10
-3x - 2y = 20
Answer:
A
Step-by-step explanation:
Select the correct location on the number line.
Sean had $45.50 in his account. He bought books worth $3 more than what he had in his account. Graph the point that represents the balance of Sean’s account.
15 points
Answer:
-3
Step-by-step explanation:
Rachel’s penny bank is 1/2 full. After she adds 120 pennies, it is 7/10 full. How many pennies can Rachel’s bank hold?
Answer:
600 pennies
Step-by-step explanation:
to start you need to understand that 1/2=5/10 so if we start with the bank 5/10 full and she adds 120 pennies that goes up 2/10. so that means 1/10 of the bank holds 60 pennies. so to find the answer you need to multiply the 60 pennies by 10, because 10*60 would be equal to the entire bank.
will give brainliest
A boat traveled 225 miles downstream and back. The trip downstream took 9 hours. The trip
back took 45 hours. Find the speed of the boat in still water and the speed of the current.
Answer:
30 hrs
Step-by-step explanation:
Downstream. In water, the direction along the stream is called downstream.
Upstream. In water, the direction against the stream is called upstream. Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then. Speed downstream = (u + v) km/hr. Speed upstream = (u - v) km/hr
PLEASE HELP IT DUE RIGHT NOW!! PLEASE EXPLAIN THE STEPS TO THIS TOO!!
Answer: y int = -1.5
Slope = -1/4
Step-by-step explanation: y int is the point at which the line cross the y axis.
Slope = rise/run
Starting from the point on the left of the graph (-6,0) and going the the other point (2, -2) you can see the it rises -2 point. (0 to -2) the it runs 8 point. (-6 to 2).
Therefore the Slope = -2/8 or -1/4
IS THIS RIGHT PLSS HELPPP
Answer:
yes
Step-by-step explanation:
What is the quotient of 3 /7 +
4/8
using reciprocal express your answer in lowest term
Answer: 6/7
Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7
How’re equations y = 3x - 2 and y = 6x - 4 alike?
Answer:
y=6x-4 is double y=3x-2
Step-by-step explanation:
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.
•first card: -12
•Second card: 3
•Third card: -5
What is the sum of the values of LuAnn’s three cards?
SOMEONE PLEASE HELP NOW ILL GIVE YOU A EAST 11 POINTS
What is the value of the expression 2106÷162?
Answer:
Hi
it will be 13
Please help me I’m desperate
Answer:
7/10:3/5=7/10×5/3=35/30=7/6
Answer:
5. 7/10 × 5/3
6. 3/5 ÷ 7/10
Step-by-step explanation:
5. 7/10 ÷ 3/5 = 7/10 × 5/3
6. 3/5 ÷ 7/10
Tristan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let
P
P represent Tristan's total pay on a day on which he sells
x
x dollars worth of computers. The table below has select values showing the linear relationship between
x
x and
P
.
P. Determine the percentage commission Tristan makes on his daily sales.
Answer:
[tex]m = 1.5\%[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine his percentage commission
To do this, we need to calculate the slope (m) of the table as follows:
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,P_1) = (7000,165)[/tex]
[tex](x_2,P_2) = (7500,172.5)[/tex]
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{172.5 - 165}{7500- 7000}[/tex]
[tex]m = \frac{7.5}{500}[/tex]
[tex]m = 0.015[/tex]
Convert to percentage
[tex]m = 0.015 * 100\%[/tex]
[tex]m = 1.5\%[/tex]
Hence, his percentage commission is 1.5%
Please help this is for a grade I don’t know the answer will give brainlest
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Which expressions represent the distance between-1 and 4? Choose ALL that apply. 14 - 11 | 4 – (-1) HH34 4342 0 3 5 |-1 - 4 |-1 - (-4)
Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
