Answer:
966 joules
Step-by-step explanation:
Step one:
given data
mass of car= 950kg
angle of incline= 15°
Applied force= 200N
displacement = 5m
If we apply a force on an object through a distance work is done, hence Mechanical work is the product of a force applied on an object and its displacement while that force is applied
Step two:
Work done= Force * distance
Since the car is moved on an inclined plane, the expression for the work done is
Work-done= Frcos∅
where r is the distance moved
Work-done= 200*5cos 15
Work-done= 200*4.83
Work-done= 966 joules
The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please
Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptPlane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:480\right),\:\left(x_2,\:y_2\right)=\left(2,\:960\right)[/tex]
[tex]m=\frac{960-480}{2-1}[/tex]
Refine
[tex]m=480[/tex]
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
Plane B is flying faster.5. Order from least to greatest.
4996,
10
48%
3. 41
0.408,
7100
Answer:
0.408
48%
3.41
10
4996
7100
Step-by-step explanation:
Answer:
It should be 0.408, 48%( which is equal to 0.48), 3.41,10,4996,and 7100
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!! I WILL MARK BRAINLIEST IF CORRECT!!!!
Answer:
63
Step-by-step explanation:
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour
Answer:
Approximately [tex]3410[/tex] steps each hour.
Step-by-step explanation:
Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.
Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.
To find: Number of steps, approximately, she walked each hour.
Solution: We have,
Total number of steps [tex]=20,458[/tex] steps.
Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.
So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.
Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.
A 2-meter street sign casts a 3-meter shadow. At the same time, an 8.2 meter
Aelephone pole casts a shadow. How long is the telephone pole's shadow?
Answer: 5.46
Step-by-step explanation: 2x8.2 / 3
the weight of the heaviest fish was _____Ib.
Answer:
5,070
Step-by-step explanation:
Answer:
14.6
Step-by-step explanation:
I have to say I hate it is a celebrity worth knowing about a person
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
Here is a triangle with some right triangles in it
Which triangles are similar to AED
Find the length of segment FA (Ef is 8 units and ED is 10 units)
Answer
5.33 units
Step-by-step explanation:
uh kakis
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.
Answer:
25 miles per hour
Step-by-step explanation:
.5=12.5 and .5×2= 1
12.5×2=25
3x-5y=22 2x+y=6
may you explain how you got the answer
Answer:x=4 y=-2
Step-by-step explanation:
3x-5y=22
3x+1.5y=9
-6.5y=13
6.5y=-13
0.5y=-1
Y=-2
Replace/substitute
2x-2=6
2x=8
X=4
2x+y=6---------(2)
y=6-2x---------(3)
putting value of y on equation
3x-5y=22
3x-5(6-2x)=22
3x-30+10x=22
13x=22+30
13x=52
x=52/13
x=4
putting value of x on equation (3)
y=6-2x
y=6-2.4
y=6-8
y=-2
what is it plz ????????????
Solve for x, show your work:
3/5 =x/30
Answer:
[tex]\frac{3}{5} = \frac{18}{30}[/tex]
Step-by-step explanation:
To solve this proportion, we will divide the two given denominators.
Now, we have: 30 ÷ 5 = 6
Next, we will multiply the given numerator by the quotient: 3 × 6 = 18
So, our final proportion will have to be:
[tex]\frac{3}{5} = \frac{18}{30}[/tex]
Answer:
X = 18
Step-by-step explanation:
plz refer to the picture
Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
1 min left need help fast :(
Answer:
A: 4/10
Step-by-step explanation:
There a four numbers that are greater that 6 : 7,8,9,10
Since it is out of 10, the probability that the first person would choose a number greater than 10 is 4/10
HELP ME PLEASE!!!!!!!!!!!
PLS help me
if you get it right i will give brainliest
is one plus one 15 please answer ASAP
Answer: no its 2
Step-by-step explanation:
lol
Solve the system by using substitution.
y = 2x – 10 and - 6x – 2y = -10
Answer:
(3, -4) or x = 3 and y = -4
Step-by-step explanation:
Hope this helps!
Solve for x !!
PLEASE
Answer:
i think its 72
Step-by-step explanation:
Slope:
Y-Intercept:
Equation:
A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?
Answer:
21.6
Step-by-step explanation:
i did the math
Rhian sat a maths test and an English test In the Maths test she scored 14 out of 17 In the English test she scored 31 out of 39 In which test did she do better
Answer:
Rhian did better in the Math test.
Step-by-step explanation:
Given: Rhian scored [tex]14[/tex] out of [tex]17[/tex] in a Math test. In the English test she scored [tex]31[/tex] out of [tex]39[/tex].
To find: In which test did she do better?
Solution:
We have,
Rhian scored [tex]14[/tex] out of [tex]17[/tex] in a Math test.
Rhian scored [tex]31[/tex] out of [tex]39[/tex] in an English test.
So, first we need to find the percentage of the marks scored.
Percentage in the Math test [tex]=\frac{14}{17}\times100=82.35 \%[/tex].
Percentage in the English test [tex]=\frac{31}{39}\times100= 79.49\%[/tex].
Clearly, the percentage in the Math test is greater than the percentage in the English test.
So, Rhian did better in the Math test.
Answer:
maths
Step-by-step explanation:
as the percentage for maths is 82.
William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally. How much will each person pay? *
Answer:
Each person will pay $9.78
Step-by-step explanation:
Given that:
Amount of bill = $34
Tip = 15%
Amount of tip = [tex]\frac{15}{100}*34[/tex]
Amount of tip = 0.15 * 34
Amount of tip = $5.10
Amount after bill = 34 + 5.10 = $39.10
Number of people = William + three friends = 4
Per person share = [tex]\frac{39.10}{4}[/tex]
Per person share = $9.775
Rounded to two decimal places
Per person share = $9.78
Hence,
Each person will pay $9.78
A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is?
Answer:
Add the 1/3 to look for the r
Step-by-step explanation:
good luck
NEED THIS ASAP PLSSS HELP
Answer:
um
Step-by-step explanation:
um
what is 6x to the 3rd power divided by (2x to the 4th power) to the 2nd power
Answer:
I’m pretty sure it’s just 3x^2
Step-by-step explanation:
6x^3/2x^4= 3x^-1
(3x^-1)2= 3x^2
A gym in your neighborhood has two payment options.
Option 1 charges a $0 sign up fee with $8 per visit.
Option 2 changes a $23 sign up fee with $2 per visit.
How many times would you need to visit the gym per month in order for the two
options to be equal? Round your answer to the nearest visit. please helppp
The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is square inches.
Answer:
Height (h)=8 in
Base(b)=10in
Area (A) of a triangle = 1/2*b*h
A=8in*10in=80in sqr
Step-by-step explanation:
The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height
Identify the constant in this
expression.
62b + 55
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