Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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A scientist planted seeds in 4 sections of soil for an experiment. Not all of the
seeds grew into plants. After 20 days, the scientist counted the number of
plants in each of the 4 sections. The results are shown in the table.
• Use the data in the table to determine approximately how many plants
grew per square foot.
• Explain or show how you determined your approximation.
• Let y be the number of plants expected to grow in x square feet. Write an
equation the scientist could use to model the relationship between y and x.
Answer:
I think you would multiply 20 × 4 and the answer would be 80 that the scientist counted the number of plants in each 4 sections after 20 days.
The number of plants per square foot will be; 48.
Given that scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
The number of plants per square foot:
= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)
= (325 + 3800 + 5875 + 9300) / 400
= 48.25
Thus, it was illustrated by the number of plants and size of sections.
Thus, the number of plants per square foot will be 48.
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The difference between the highest and lowest single game point totals for the MIDDLE HALF of the data is ______ points less for Joe's data than Sam's data. Therefore, the MIDDLE HALF of Joe's single game point totals are less varied than Sam's.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required data to answer the question are missing.
However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.
Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data
Then, make comparison
To do this, I will use the following assumed datasets.
[tex]Data: 62, 63, 64, 64, 70, 72, 76, 77, 81, 81[/tex]
IQR is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Q_3[/tex] is [tex]the\ median[/tex] of the upper half
[tex]Q_1[/tex] is [tex]the\ median[/tex] of the lower half
For Joe, we have:
[tex]Lower\ half: 62, 63, 64, 64, 70[/tex]
[tex]Upper\ half: 72, 76, 77, 81, 81[/tex]
The median is then calculated as:
[tex]M = \frac{N + 1}{2}[/tex]
For, the lower half:
[tex]Q_1 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]
So:
[tex]Q_1 = 64[/tex]
For the upper half:
[tex]Q_3 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]
So:
[tex]Q_3 = 77[/tex]
When the same process is applied to Sam's data,
[tex]Q_1 = 52[/tex]
[tex]Q_3 = 58[/tex]
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 77 - 64[/tex]
[tex]IQR = 13[/tex]
Assume that:
[tex]Joe = 60[/tex]
[tex]Sam = 65[/tex]
[tex]Joe - IQR = 60 - 13 = 47[/tex]
[tex]Sam- IQR = 65- 13 = 52[/tex]
Hence, the IQR is 47 points less for Joe's data than Sam's
28. Find the median of the following marks:
2, 4, 10, 3, 6, 12
A. 4 B. 5 C. 6 D. 10
pls show working
Answer:
B
Step-by-step explanation:
put in order from least to greatest
2,3,4,5,6,10,12
median is just another word for middle
What is the measure for angle CBD
PLSSS HELPP!!!!
The measure of the angle CBD = 180° - 30° = 150°.
[PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK
Find the indicated side of the
triangle.
a
7.
30°
D
b = [ ? IV
What is the solution to the equation x3 = 16?
The solution of the equation x³ = 16 will be;
⇒ x = 2.519
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ x³ = 16
Now,
Since, The equation is,
⇒ x³ = 16
Solve for x as;
⇒ x = ∛ 16
⇒ x = 2.519
Thus, The solution of the equation is,
⇒ x = 2.519
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What is the volume of the rectangular prism?
9514 1404 393
Answer:
17 7/9 yd³
Step-by-step explanation:
The volume is the product of the dimensions.
V = LWH
V = (3 1/3 yd)(2 2/3 yd)(2 yd) = (10/3)(8/3)(2) yd³ = 160/9 yd³ = 17 7/9 yd³
__
Additional comment
You can guess the correct answer with a couple of estimates.
volume is greater than (3)(2)(2) = 12 . . . . rounding down to integer
volume is less than (3 1/3)(3)(2) = 20 . . . . rounding 2 2/3 up to 3
Based on the way these numbers are rounded, the volume is closer to 20 than to 12. This strongly suggests that 17 7/9 is the correct answer.
2 please help. i will give brainlies and 50 points. if you use my points without an answer i will have your account deleted and i will report you.
Answer: Area: 5808 Primiter: 308
Answer:
Answer: A-Area: 5808 Primiter: 308
B-Area is needed
Step-by-step explanation:
Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%?
Answer:
$3.36
Step-by-step explanation:
47.96×7%=$3.357
Answer:
About $3.36
47.96 x 0.07 = 3.3572 rounded up is 3.36
Someone help plz make sure it’s right?
HELPPP ME PLEASE!!!
(don’t answer if you don’t know or just for points bc i’ll report)
Answer:
The last one
Step-by-step explanation:
Please please please help!
Answer:
6 pounds
Step-by-step explanation:
every 16 ounces =1 pound
so 96/16 = 6
6 *1 = 6
therefour 6 pounds
Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?
Answers are:
A) 14
B) 15
C)16
D)20
Mr. Stewart said that he would pay $750 for a bedroom suite. The suite Mrs. Stewart wants costs $250 less than twice as much money as Mr. Stewart will spend. How much does the suite cost that Mrs. Stewart wants?
Answer:
$1,250
Step-by-step explanation:
Mr. Stewart will spend $750
Mrs. Steward wants $250 less than twice that
750 * 2 is 1500
1500 - 250 is 1250, our final answer
brainliest? please and thank you.
PLEASE HELP ME WITH THIS
Answer:
P = 2x + 24
Step-by-step explanation:
P = 2(l + w)
P = 2(7 + x + 5)
P = 2(x + 12)
P = 2x + 24
y-30≥32 lol i need help again
Answer:
y ≥ 62
Step-by-step explanation:
Give Me Brainllest plz T - T
Evaluate the function below for x=2 f(x)=x^4+6x^3+3
Answer:
f(2)=67
Step-by-step explanation:
In order to evaluate the function you must switch all of the x for 2
so it would be f(2)=2^4+6(2)^3+3
what is the quotient of 13 divided by 8
How many solutions does the following system of equations have?
One Solution
O No Solutions
Infinitely Many Solutions
Answer:
I think its two eqautions
Answer:
b
[tex]\int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
A cylindrical water towers has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the gallon contain?
Answer:
233445.54 gallons
Step-by-step explanation:
Given data
Diameter= 15m
Radius= 7.5m
Height= 5m
Let us first find the volume
the volume of a cylinder is given as
V= πr^2h
substitute
V= 3.142*7.5^2*5
V= 3.142*56.25*5
V=883.6875 m^3
Hence the volume in gallons is
233445.54 gallons (from conversion tables)
PLS HELP PLS PLS PLS For #1-2, determine if the sequence is arithmetic or geometric. Then find its common difference or ratio.
1.
[tex]\frac{1}{2}[/tex], 1, 2, 4…
2. -5, 1, 7, 13 …
Answer:
#1 is Geometric
its common ratio is 2
#2 is Arithmetic
its common difference is 6
in a school the number of girls exceeds the number of boys by 15%. Find the ratio of the numbers of boys to girls?
Answer:
2 : 3 is the correct answer
Step-by-step explanation:
happy to help :)
In ΔKLM, k = 76 inches, l = 30 inches and m=69 inches. Find the measure of ∠M to the nearest degree. pleseeeeee
Answer: 65
Step-by-step explanation:
Measure of ∠M to the nearest degree is [tex]65^{0}[/tex].
What is law of cosine?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Given
k = 76 inches
l = 30 inches
m = 69 inches
From the law of cosines
Cos <M = [tex]\frac{k^{2} +l^{2} -m^{2} }{2.k.l}[/tex]
Cos <M = [tex]\frac{76^{2} +30^{2} -69^{2} }{2.76.30}[/tex]
Cos <M = [tex]\frac{1915}{4560}[/tex]
Cos <M = 0.42
<M = [tex]cos^{-1} (0.42)[/tex]
<M ≈ [tex]65^{0}[/tex]
Hence, measure of ∠M to the nearest degree is [tex]65^{0}[/tex].
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Complete the similarity statement for the similar figures then find the scale factor
plz help me
add explanation if you can
Crystal randomly selects a card from the list and
then replaces it. Find:
a. P(two even numbers)
b. P(number less than 4 and a number greater than 4)
Someone help and please make sure it’s right?
Answer:
I think it is 8.8 yards because its not bigger than 10 and not smaller than 6
Find the value of z in the diagram below.
MARKED AS BRAINLIEST:))
Answer:
z=7
Step-by-step explanation:
If z represents 1/2 of 14, then z=14*1/2=14/2=7
g ih even me answer please
Step-by-step explanation:
It E = 8, -3
What is the probability that someone in your class wants the New England Patriots to win
Answer:
Step-by-step explanation:
It all depends on how many people are in your class.
To calculate probability
Determine a single event with a single outcome.
Identify the total number of outcomes that can occur.
Divide the number of events by the number of possible outcomes.
To determine the probability, Use the formula
What is the formula of probability?
P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.
P(A | B) = P(A∩B) / P(B)