Step-by-step explanation:
❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]
Mass of a large rock ( m ) = 4.0 kgVelocity ( v ) = 2.0 m/s❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]
Momentum ( p )✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]
plug the known values :
⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]
⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]
Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.
If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.
The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.
Mathematically ,
Momentum = mass × velocity
i.e p = m × v
The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.
Hope I helped ! ♡
Have a wonderful day / night ツ
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Daryl measures the angle of elevation to be 62 degrees. Frances measures the angle of elevation to be 54 degrees. if the two enthusiasts are 28m apart, how far off the ground is the helicopter.
Answer:
The helicopter is 27.38 m far off the ground
Step-by-step explanation:
The drawing shown in the image below has all the measures and variables needed to solve the problem.
We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.
[tex]\displaystyle \frac{28}{\sin X}=\frac{a}{\sin 54^\circ}[/tex]
The angle X is the measure needed to complete 180°:
X = 180° - 54° - 62° = 64°
Solving for a:
[tex]\displaystyle a=\frac{28}{\sin 64^\circ}\cdot \sin 54^\circ[/tex]
Calculating:
a = 31.11 m
Now using the sine ratio in the right triangle to the left side:
[tex]\displaystyle \sin 62^\circ=\frac{R}{a}[/tex]
Solving for R:
[tex]R=a\sin 62^\circ[/tex]
R=31.11*0.88
R = 27.38 m
The helicopter is 27.38 m far off the ground
A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?
Answer:
I believe its 6.48%
What is the equivalent percent? 6/15
Answer .277
Step-by-step explanation:
because 6/15 is not half but almost is
How far is `75\%` of a `2,000`-kilometer trip?
Answer:
1,500 kilometers
Step-by-step explanation:
To find 75% of 2,000, multiply 2,000 by .75. That gets us 1,500. That means 75% of a 2,000 kilometer trip is 1,500 kilometers.
Answer:
1,500 kilometers
Step-by-step explanation:
PLease answer this!!!
Answer:
the answer is -5
Step-by-step explanation:
simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)
The height of a doorway is 8 yards. What is the height of the doorway in inches?
The height of the doorway is
inches.
Answer:
288 inches
Step-by-step explanation:
1 yard= 36 inches.
36x8=288
Answer:
It would be 288 inches
Step-by-step explanation:
8 divided by ? inches
1 yard = 36 inches
36 inches times 8 yards = 288 inches
make me brainiest
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
A large fish tank is having its water drained while being weighed. After 20 gallons have been drained, the tank weighs 1,909 pounds. After 50 gallons have been drained, it weighs 1,660 pounds. Let w be the weight of the tank and let g be the number of gallons drained. Write a linear equation for w in the terms of g.
Answer:
[tex]w=-8.3g+2075[/tex]
Step-by-step explanation:
Let the x axis represent the gallons g
and y axis represent the weight of the tank w.
So, the first point on the plane will be [tex](20,1909)[/tex]
and the second point will be [tex](50,1660)[/tex]
The line between these points will be
[tex]w-1909=\dfrac{1660-1909}{50-20}(g-20)\\\Rightarrow w-1909=-\dfrac{249}{30}(g-20)\\\Rightarrow w-1909=-\dfrac{83}{10}(g-20)\\\Rightarrow w=-\dfrac{83}{10}g+\dfrac{83}{10}\times 20+1909\\\Rightarrow w=-\dfrac{83}{10}g+2075\\\Rightarrow w=-8.3g+2075[/tex]
The relationship between the weight and gallons of the tank is [tex]w=-8.3g+2075[/tex]
Hawall is 6 hours behind Cincinnati. If it is 5 AM in Hawall, what time is it in Cincinnati?
Answer:
11 AM
Step-by-step explanation:
5 + 6 = 11
On their most recent 8-mile training run, Pepe averaged a speed of 12 of a mile in 4.5 minutes, while Paula averaged 34 of a mile in 7.5 minutes.
How many minutes did it take the faster runner to finish the 8 mile run
Answer:
1.78 min
Step-by-step explanation:
so first you have to figure out the fastest runner
pepe 12 miles in 4.5 minutes
and paula ran 34 miles in 7.5 minutes
if you divide miles by minutes you get how many miles they ran in one minute
12/4.5=~2.67
34/7.5=~4.53
So you can see that paula is faster
if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles
they're both super humans though like woah
What is the perpendicular and parallel slope of -2 (PLEASE SHOW HOW YOU GOT IT)
Answer:
Parallel slope of -2 is -2.Perpendicular slope of -2 is 1/2.need help pls answer asap!
Plz help me I only have 5 minutes will mark brainliest
Answer:
THE ANSWER IS B explanation:
The answer is be by isolating the variable and by using the key words in the question to find out what it is.
6/12 + 5/6 + 2/4 + 1/2
Answer:
7/3
Step-by-step explanation:
L.C.M of all of the denominators is 12
We get,
[tex] \frac{6 + 10 + 6 + 6}{12} = \frac{28}{12} \\ \\ = \frac{7}{3} [/tex]
In mixed fraction it becomes 2 1/3
And here is your answer hope it helps :)
A growth factor is a value that is greater than 1?
Answer:
No, it is a value that is greater than 0
Step-by-step explanation:
A growth factor is indeed a value greater than 1 except it can be a decimal below 1 to. Therefore, a growth value is any POSITIVE number.
A label is twice as long as it is wide. If the length of the label is 10 cm, find the
area of the label.
O 20 square centimeters
O 50 square centimeters
O 60 square centimeters
O 70 square centimeters
Answer:
50 square centimeters
Step-by-step explanation:
Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters
If Triangle PQR ~ Triangle SQT, Find the value of x.
Answer:
x = 15
Step-by-step explanation:
Given that ∆PQR ~ ∆SQT, therefore their side lengths are proportional to each other.
Thus:
[tex] \frac{PQ}{SQ} = \frac{PR}{ST} [/tex]
PQ = (x + 5) + 8 = x + 13
SQ = 8
PR = 21
ST = x - 9
Plug in the values
[tex] \frac{x + 13}{8} = \frac{21}{x - 9} [/tex]
Cross multiply
[tex] (x + 13)(x - 9) = 8*21 [/tex]
[tex] x(x - 9) +13(x - 9) = 168 [/tex]
[tex] x^2 - 9x + 13x - 117 = 168 [/tex]
[tex] x^2 + 4x - 117 = 168 [/tex]
Subtract 168 from both sides
[tex] x^2 + 4x - 117 - 168 = 0 [/tex]
[tex] x^2 + 4x - 285 = 0 [/tex]
Factorize
[tex] x^2 + 19x - 15x - 285 = 0 [/tex]
[tex] x(x + 19) - 15(x + 19) = 0 [/tex]
(x + 19)(x - 15) = 0
x = -19 or x = 15
Answer:
x = 15
Step-by-step explanation:
x+13/9 = 21/x-9
x^2+4x−117=168
x^2+4x−285=0
(x−15)(x+19)=0
x=15
it cannot be a negative number so x cannot be -19
583.31 divided by 7 minus 7.46 is closest to _____ of 100.
One yard is equal to 0.9144 meters. One foot is equal to how many meters
Answer:
0.3048 i think
Step-by-step explanation:
Subtract
28 1/27 - 2/9=
Answer:
1759. or 27 58/63
63
hope it helps
What is the value of 15 + x2 when the value of x is 3
Answer:
21
Step-by-step explanation:
15 + (3)2
15 + 6
21
Answer:
24
Step-by-step explanation:
15+x2
= 15 + (3x3)
= 15 + 9
= 24
X
Betsie tried to solve an equation step by step.
7a =28
7a/a=28/7 Step 1
7=4 Step 2
Find Carly's mistake.
Choose 1 answer:
A .Step 1
B. Step 2 C. Carly did make a mistake
Answer:
Step 1
Step-by-step explanation:
Carly divided 7a by a when she should have divided 7a by 7
Answer:
she divided 7a by a instead of 7
3x – 2y = 3
8x – 4y=4
elimination method
[tex]x = 1 + \frac{2y}{3} [/tex]
Solving for Y.[tex]y = - \frac{3(1 - x)}{2} [/tex]
Second equation:Solving for X.[tex]x = \frac{1 + y}{2} [/tex]
Solving for Y.[tex]y = 2x - 1[/tex]
Sarah has three more than four times the money that Jessica has. Together they have $72. How
much does each person have?
Answer:
Jessica has x amount of dollars.
Sarah has 4x + 3
Together they have $72
We can combine Jessica and Sara's money to equal $72.
x + (4x + 3) = 72
Combime like terms
5x + 3 = 72
Subtract 3 from both sides to isolate the variable.
5x = 69
Divide both sides by 5
x = 69/5 or 13 4/5 or 13.80
Jessica has $13.80 and
Sarah has 4(13.80) + 3
55.20 + 3 = 58.20
in a class 60% of the students are girls there are are 24 girls in the class how many boys are in the class
Answer:
16
Step-by-step explanation:
Let s represent all students in the class
.60(s) = 24 This equation means that 60% of students are the 24 girls in class.
Solve for s: s = 24/.60 = 40 There are 40 students in the class
Now to find how many boys are in the class, subtract 24 from 40
40 - 24 = 16
There are 16 boys in the class
Girls=60% of x
so girls 60/100
so left 40%which are boys and girls are given which is 24
students are girls and given they are 24
So total students X= total girls+ total boys
X = (60/100)*X+24
X - (60/100)*X = 24
(40/100)*X = 24
X = (24*100)/40.
X = 60
so there are 60 boys
PLS EXPLAIN HOW THESE SEQUNCE IS FORMED
ALL ODD NUMBERS
Answer:
7,21,27,81,87, 261, 267....
Step-by-step explanation:
All odd number series from the given figure is
7, 21, 27, 81 , 87....
We can write this series as
7, 7 x 3 , (7x3)+6, ((7x3)+6)x3, (((7x3)+6)x3)+6....
7, 21, 21+6 , 27 x 3, 81+6...
Now, the next term of the series will be
=((((7x3)+6)x3)+6) x 3
= 87 x 3
= 261
And another term of the series will be
= 261 +6
= 267
7,21,27,81,87, 261, 267....
What is the x-intercept of the following equation? 4x + 2y = 12
Answer:
3
Step-by-step explanation:
Answer pls will
Give brailiest or show how to do it
Answer:
bro i do not know how to do that stuff im only in Middle school my guy
Step-by-step explanation:
I don't know
"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer: the answer is 7
Step-by-step explanation:
first you divide the price by four then add a quarter to the original amount. gl
Bader gave away 24 of his toy cars. Which integer shows the change in the number of toy cars he has?
Answer:
The integer that shows the change in the number of toy cars Bader has is -24.
Explanation:
Think of it like a math problem, when you take away from your own amount, (in this case, his cars) you're subtracting from the original amount of things you had. The symbol for subtraction is also "-", so with that information it's a bit self explanatory to know which answer is correct.