Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
find the volume of a cube with the given sides length. 1/5b^3
Answer:
[tex]\sf \dfrac{b^9}{125}[/tex]
Step-by-step explanation:
We need to find out the volume of cube with the given side length . The side of the cube is ,
[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]
Now as we know that the volume of cube is ,
[tex]\sf\longrightarrow Volume = side^3[/tex]
Substitute the given value ,
[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]
On a graph, points form a curved line.
Using the scatterplot, determine the association.
Answer:
Nonlinear association, B
Step-by-step explanation:
Answer:
strong
Step-by-step explanation:
Please answer correctly nobody ever answers my questions im upset :C
Answer:
The measure of angle S is 60°
Step-by-step explanation:
This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°
please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.
Answer:
1) y=3.5+(5•x)
2) 103.5
3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider
Answer:
im gonna go with c
what is the reciprocal of 1 1/4
Answer:
11/4 The reciprocal will be 4/11
Schumer Box How To Read The Fine Print
Answer:
what'd you mean?
Step-by-step explanation:
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
Learn more : https://brainly.com/question/25257355
Acellus
Choose SSS, SAS, or neither to compare
these two triangles.
Help Resources
А
SAS
neither
SSS
Answer:
SSS
Step-by-step explanation:
3. A person jogs 1/7 mile in 1/42 hour. What is the person”s speed in miles perhour?
Answer:
42/7 = 6 miles per hour
Step-by-step explanation:
Given,
The total distance covered by the person = [tex]1/7[/tex] a miles,
Time taken by him = [tex]1/42\\[/tex]an hour,
We know that, speed = Distance, time
The speed of the person = [tex]1/7 over 1/42[/tex]
42/7
also known as 6 miles per hour
I hope this helps and have a great day!
May I please receive help?
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
HELP MEE I HAVE TO TURN IT IN TOMORROW
plz help i reward brainliest
plz no silly answers too
Answer:
3
Step-by-step explanation:
At a school dance, the ratio of girls to boys is 8:3. If there are 528 students at the dance, how many are boys and how many are girls?
Answer:
144 boys and 384 girls
Step-by-step explanation:
8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.
write the equation of the line perpendicular to the given line y - 2 = 1/4 (x+2)
8xy + 14x + 4x - 2xy + 6y
I NEED HELP ON IT
Answer:
Welp i dont have your help you need
Step-by-step explanation:
Because i just dont
Claire ate dinner at her favorite restaurant. When she received her bill, she wanted to
leave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00?
Answer:
$1.35
Step-by-step explanation:
you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.
4r – 4s + 4t=-4
4r +5 - 2t = 5
-3r - 3s – 4t=-16
Use elimination or substitution to solve the systems.
(1,-3,-1)
(1,3,1)
(-1,3,1)
Answer:
1,3,1
Step-by-step explanation:
b] In the opposite figure : XYZL is a square, XZ = 10 cm. , m(L XZY) = 43° Calculate the perimeter of triangle XYZ
Answer:
Perimeter of Δ XYZ = 24.13
Step-by-step explanation:
In Δ XYZ is a right triangle because the XYZL is a square. Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.
Using the trig ratios:
XY = opposite/ hypotenuse which is Sin 43°
Sin 43° = XY/ 10
10(Sin 43°) = XY
6.82 = XY
YZ = adjacent/hypotenuse which is Cos 43°
Cos 43° = YZ/10
10(cos 43°) = YZ
7.31 = YZ
Now the Perimeter = XY + YZ + XZ
Perimeter = 6.82 + 7.31 + 10
Perimeter = 24.13
a homework assignment included 40 multiple choice questions Sabrina completed 65% of her assignment in David completed 4/5 of his assignment how many more questions did David complete compared to sabrina?
Answer:
6 or -6
Step-by-step explanation:
65% of 40=264/5 of 40=3232-26=6(or if you start with 26)26-32=-6In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary.
Answer:
8.9
Step-by-step explanation:
7.1/8.9=Qn/11.1
QN = 8.9
{ Parallel lines divide in proportion to their segments }
The solution is 8.9
The length of the side of the triangle PNO is QN = 8.9
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔPNO
Let the second triangle be ΔPQR
Now , ΔPNO ≅ ΔPQR
And , The corresponding sides of similar triangles are in the same ratio
So , substituting the values in the equation , we get
RO / PR = QN / PQ
On simplifying the equation , we get
7.1 / 8.9 = QN / 11.1
Multiplying both sides of the equation by 11.1 , we get
QN = ( 7.1 x 11.1 ) / 8.9
The value of QN will be
QN = 8.85
Rounding the value of QN to the nearest tenth , we get
QN = 8.9
Therefore , the value of QN is 8.9
Hence , The length of the side of the triangle PNO is QN = 8.9
To learn more about similar triangles click :
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The polynomial is missing the coefficient of the second and third terms. 1,000x3 + ___x2y + ___xy2 + 1,331y3 If the polynomial is factorable using the binomial theorem, what is the coefficient of x2y?
Answer:
3,300
Step-by-step explanation:
Just took the test in edg
Answer:
3300
Step-by-step explanation:
Did it on Edge.
Maria stated that 5/6 is between 4/5 and 6/7
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
The length of a rectangle is three cm more than twice the width. Perimeter is 78 cm.
Answer:
width = 12cm and the length = 27cm
Step-by-step explanation:
How do I find the variables here? ;-;
Answer:
y = 116
w = 116
x = 4
Step-by-step explanation:
a // b and t is transversal.
y + 64 = 180 {co-interior angles are supplementary}
y = 180- 64
y = 116
w = y {Alternate interior angles are equal}
w = 116
4x² = 64 {Alternate interior angles are equal}
x² = 64/4
x² = 16
x² = 4²
x = √(4*4)
x = 4
i need to find out what the answer to this math problem is. 7/8 divided by 1/6
What is the value of 12+2(12-9)power 2 WITH CALCULATIONS
Answer:
30
Step-by-step explanation:
I don't know how to explain it sorry but can I still get brainliest please
Answer:
30
Step-by-step explanation:
1) Simplify 12 - 9 to 3.
12 + 2 × 3²
2) Simplify 3² to 9.
12 + 2 × 9
3) Simplify 2 × 9 to 18.
12 + 18
4) Simplify.
30
4.
Michael started a savings account. After 5 weeks, he had $340 dollars and after 9
weeks, he had $580. What is the rate of change of money in his savings account per
week?
Answer:
$60.00 in his savings account per week
Step-by-step explanation:
First, we can convert the information given into points so we can more easily find the rate of change, or slope:
(5, 340) and (9, 580)
Then, we can subtract the y-values and x-values of both, then divide those differences, to find the slope. Remember that the change in y goes on top of the division problem and the change in x goes on the bottom of the division problem:
(580-340)/(9-5) = 240/4 = 60
So, $60 in his savings account per week.
Answer:
he saves 18.45 dollars in each week
Whenever the first and last day of a
month fall on the same day of the week,
that month has exactly how many days?
A. 28
B. 29
C. 30
D. 31
Step-by-step explanation:
I believe it would be 29days
Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.
The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.
Let's consider the possibilities:
If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.
If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.
Thus, the correct answer is D. 31
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3. What is the slope of the given graph?
y =
Answer:
1/2
Step-by-step explanation:
Remember rise over run (rise/run). Rise is the movement in the y axis and run is the movement within the x axsis.
Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %
Answer:
20% decrease
Step-by-step explanation:
2516/3270 = 0.8 or 80%
This means 80% percent of people showed up again from last year
100-80 = 20
So 20% decrease