Two students on roller skates stand face-toface, then push each other away. Which student will always have the fastest speed

Answers

Answer 1

Answer:

The student with lower weight will move faster than the one with higher weight.

Step-by-step explanation:

The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma

Mass of student 1 is 97 kg

Mass of student 2 is 61 kg

The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.


Related Questions

Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?


15x\geq 30015x≥300


\frac{x}{300} \geq 15
300
x

≥15


15x \leq 30015x≤300


\frac{x}{300} \leq 15
300
x

≤15

Answers

Answer:

20 weeks

Step-by-step explanation:

30/15=2

300/15=20

20 weeks

Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?

Answers

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

Mendel's law of dominance

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

black skin colour is dominant to Pink skin colour in pigs.

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

PP and Pp denotes black pigs is denoted pp denotes pink pigs

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

Read more about Mendel's law of dominance at; https://brainly.com/question/14436268

Determine which choice best shows the distributive property of multiplication.

Question 2 options:

1 × 6 = 6


6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


6 × (9 × 8) = (6 × 9) × 8

Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Jane has 6 more than twice the number of pairs of shoes that Mary has.

Write an expression for this. Use s as your variable for the shoes.

Answers

Answer:

im not sure

Step-by-step explanation:

Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither

Answers

Triangle ABC i believe

Answer:

abc

Step-by-step explanation:

Rewrite using a single positive exponent.
(7^2)^-7

Answers

Answer:

Step-by-step explanation:

we have to remember the power rules, power raised to the power-we use the multiplication

(7^2)^-7=7^-14= 1/7^14

10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6

Answers

Answer:

it's times 4 every time

Step-by-step explanation:

4.5 times 4 is 18 etc

If Jk _| lm which statement is true?

Answers

it is the first option i think
It’s the first option, hope this helps

The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is​

Answers

Answer:

[tex]r=\frac{5}{9}(y-32)[/tex]

Step-by-step explanation:

The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.

The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.

Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:

[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]

WILL MARK BRAINLY!

Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100

Answers

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

|-100|>50 because the 100 will be switched to positive so 100>50

Determine which choice best shows the distributive property of multiplication.

Question 1 options:

7 × 9 = 9 × 7


7 × (9 + 6) = (7 × 9) + (7 × 6)


7 × (9 × 6) = (7 × 9) × 6


1 × 7 = 7

Answers

Answer: Identify and use the commutative properties for addition and multiplication. Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. The example below shows how the associative property can be used to simplify. The sum is 14. 7 + 2 + (8.5 + (−3.5)). 7 + 2 + 5. 9 + 5. 14. Group 8.5 and –3.5=5

Step-by-step explanation:

Answer:

7 × (9 + 6) = (7 × 9) + (7 × 6)

Step-by-step explanation:

Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?

Answers

Answer:

3 7/10 miles

Step-by-step explanation:

divide miles by hours

11/5 ÷ 7/12  =  11/5 · 12/7  =  132/35 or 3.7 mph

Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.

How many cupcakes does the supermarket get?

Answers

you do 525/7 to get 1 part
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket

Please help me with this question.

Answers

Answer:

A. -g/-8

Step-by-step explanation:

Since there is a negative sign before the fraction -g/8, A would be the best choice because the negative on the problem given is the same as -g/-8. No matter if there's a negative sign before the fraction, both the denominator and numerator would still be negative.

Compare the two fractions using , or =. 1/2 1/4

Answers

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.

Answers

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

What do you call segments, rays, or lines that are added to a given diagram?

Answers

Answer:

auxiliary lines

Step-by-step explanation:

Pls help me question is above, pls give the correct answer:)

Answers

Answer:

A'=(5,1)

Step-by-step explanation:

Rotations

Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.

The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).

The image attached below shows both points

y=5, 12+4y= what is the answer

Answers

Answer:

x2

Step-by-step explanation:

x2 82

Answer: 32

Step-by-step explanation: since y=5, 4y= 20. 12+20=32

Find the length of segment FH.

Answers

Answer:

20

Step-by-step explanation:

what is 42-22?

it is 20. Next time, use a calculator or get your additon and normal calulations really good.

HELP MIDDLE SCHOOL QUESTION

Answers

1897 is how much he ran

April, May and June have

90

sweets between them. May has three-quarters of the number of sweets that June has.


April has two-thirds of the number of sweets that May has. How many sweets does June have?
help

Answers

Answer:

A

Step-by-step explanation:

The month of June has  40 sweets

Let the number of sweets in the month of June be  P

Given that April,  May and June collectively have 90 sweets

Given that May has three quarters of number of sweets as that of June

So we can write

[tex]\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\[/tex]

Similarly it is given that April has two third of sweets as that of May month and hence we can write

[tex]\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\[/tex]

As the total number of sweets in  April,  May and June is  90

Let the number of sweets in  May be "M" and in April be "A"

We can write the following equation and solve it further

[tex]\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\[/tex]

[tex]\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40[/tex]

So we can conclude that the month of June has  40 sweets

For more information please refer to the link given below

https://brainly.com/question/1301963

Can someone help me? Thank you!

Answers

Answer:

I believe that the one that is NOT true is Option, letter C.  Pls mark brainliest.

Answer:The answer is D

Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.

Also brainly pls.

What is the inverse function of f(x) = x


Answers

f-1(x) f(x)-1
Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal

Simplify the following expression by distributing. Then, combine any like terms.

2.5(4p−16)−8p+10 =

Answers

Answer:

2p-30

Step-by-step explanation:

10p-40-8p+10

=2p-30

what is 24 divided by 18​

Answers

Answer:

1 1/3

Step-by-step explanation:

or 1.33333333333333333333333333333333333333333333

1 1/3 or 33333 and so on

Find the size of angle XYZ

Answers

Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.

Answers

Answer:

$78 i think

Step-by-step explanation:

20%=20/100

20/100x65=13

13+65=78

$78

If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys

Answers

Answer:

b right handed boys

Step-by-step explanation:

0.4(0.25)(0.01) is the problem

Answers

i believe the answer is .001
.4 x .25 = .1
.1 x .01 = .001
0.4(0.25)(0.01)
0.1 x 0.01
0.001

The answer is 0.001

I think this is what you need
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