Mathematics High School

You push yourself on a skateboard with a force of 30N and
accelerate at 0.5m/s². Find the mass of you and the
skateboard together.

Answers

Answer 1

The mass of mass of 'you' and the skateboard together will be 60 kg.

According to the question,

We have the following information:

You push yourself on a skateboard with a force of 30N and accelerate at 0.5m/s².

We know that the following formula is used to find the force applied:

Force = mass*acceleration

(More to know: force is denoted by F, mass is denoted by m and acceleration is denoted by a.)

Putting the given values in this formula:

30 = m*0.5

m = 30/0.5

m = 60 kg

Hence, the mass of mass of 'you' and the skateboard together will be 60 kg.

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Related Questions

the equation of the curve is y = x^2 + ax + b. The points (0,-5) and (5,0) lie on the curve. Find the coordinates of the turning point of the curve.

Answers

The turning point of the parabola is the point (2, - 9).

What is the turning point of a quadratic equation?

Quadratic equations represents parabolae and the vertex of the parabola represents the turning point as the slope of the curve changes its sign, from positive to negative or viceversa. The vertex can be derived by the vertex form of the equation of the parabola:

y - k = C · (x - h)²

Where:

(h, k) - Coordinates of the vertex.C - Vertex constant

Since the quadratic equation has two real coefficients, we need the location of two points on Cartesian plane to find one solution. First, create the system of linear equations:

b = - 5                                      (1)

5 · a + b = - 25                        (2)

Second, substitute b in (2) and clear a:

5 · a - 5 = - 25

5 · a = - 20

a = - 4

Third, write the quadratic equation:

y = x² - 4 · x - 5

Fourth, transform the equation into vertex form by completing the square:

y + 9 = x² - 4 · x + 4

y + 9 = (x - 2)²

Fifth, write the vertex of the parabola:

(h, k) = (2, - 9)

The point (2, - 9) represents the turning point of the parabola.

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11/12+7/12 in simplest form

Answers

Answer:

The answer to your question could be either 3/2 (improper fraction), 1.5 (decimal), or 1 1/2 (mixed fraction).

Step-by-step explanation:

11/12 + 7/12 = 18/12

18/12 = 9/6

9/6 = 3/2

hi i was wondering if somebody can help me with this question. Given the inequality 4x ≤ 28, determine the value of x.

S:{7}
S:{9}
S:{12}
S:{38}

Answers

Answer:

Step-by-step explanation:

OK:

1. Isolate the x on the left side of inequality. Always remember if a number or variable crosses inequality, it becomes opposite!

4x ≤28

x ≤28/4

x ≤7

2. Double Check!

4*7 ≤28

28 ≤28 TRUE

x=7(s) or Choice A

What is another way to write (a6)(a²)?

a4

a8

a12

a36

Answers

a8 would be the correct answer

Bob’s employer covers 23% of his family’s annual health insurance premium. The balance of the premium is deducted in equal amounts from bob’s paycheck 26 times over the calendar year. If $185. 30 is withheld from each of bob’s paychecks, what is his family’s annual health insurance premium? a. $805. 65 b. $4,817. 80 c. $6,256. 88 d. $20,946. 96.

Answers

If $185.30 is withheld from each of Bob's paychecks, then his family's annual health insurance premium is $4817.80.

From the given information,

It was stated that the balance of the premium is deducted in equal amounts from Bob’s paycheck 26 times over the calendar year and $185.30 is withheld from each of Bob’s paychecks.

Therefore, the family’s annual health insurance premium will be calculated :

              = $185.30 × 26

              = $4,817.80

In conclusion, the correct option is $4,817.80.

therefore, his family's annual health insurance premium is $4817.80

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Harry took a 5-hour trip on which he averaged 40 miles per hour. What distance did he travel?

Answers

5 X 40 = 200
Harry traveled 200 miles on a 5 hour trip

Answer:

200 miles

Step-by-step explanation:

if its 40 miles per hour then multiply 5 with 40 and you'll end up with 200 miles

Eve play baketball. She make 4 free throw for every 3 free throw that he mie. If he mied 27 free throw at her lat practice, how many free throw did he make?

Answers

Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.

Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.

There are several ways to score 3 of the 4 free throws.

Miss Hit Hit Hit

Hit Miss Hit Hit

Hit Hit Hit Hit Hit

So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.

So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875

Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.

Hence, Eve had to make 42 free throws for getting 27 throws are mied.

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I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS

Answers

Answer:

third and last, can't promise that's right

What is the end behavior of the function f(x) = -5x³ + 2x² - 4x+6?
O down to the left, up to the right
O up to the left, down to the right
O up to the left, up to the right
Odown to the left, down to the right

Answers

I believe it’s up to the left and down to the right?

Answer:

O up to the left, down to the right

Step-by-step explanation:

The function in your question will do the same thing that

f(x) = -x³ does.

Actually, even simpler, it will have the same end behavior as

f(x) = -x

which is just a line with negative slope, going down from left to right. The way end behavior is described: up to the left and down to the right.

In fact, all the functions with odd power as the biggest exponent will have the same end behavior.

(If the highest exponent is even, it acts like a parabola up+up or down+down.)

In 2021, Sally Morris, a single taxpayer, pays $3,000 of interest on qualified student loans. Her AGI is $40,000. What is her qualified student loan interest deduction in 2021?

Answers

The qualified student loan interest deduction in 2021 is $37500.

What is adjusted gross income?

Adjusted gross income is an individual's total gross income less specific deductions in the United States income tax system. It is used to compute taxable income, which is AGI minus personal exemption and itemized deduction allowances. AGI is more important than gross income for most individual tax purposes.

AGI is calculated by taking your gross income and subtracting certain "above the line" deductions. 401(k) contributions, health savings account contributions, and educator expenses are common examples of deductions

As per Law, a maximum of $2,500 will be allowed to be deducted from the Income. Thus the following would be the solution.

Income of Sally Morris = $40,000

Less: Qualified student loan interest $2,500

Modified Adjusted Gross Income $37,500

The deduction is $37500.

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If u can solve both the blanks that would be great

Answers

total balance = $367.50

interest = $67.50


A= $367.50

I = A - P = $67.50

Equation:
A = P(1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.

Solving our equation:
A = 300(1 + (0.025 × 9)) = 367.5
A = $367.50

The total amount accrued, principal plus interest, from simple interest on a principal of $300.00 at a rate of 2.5% per year for 9 years is $367.50.

. The ratio of cups of almonds to cups of peanuts in a mixed nuts snack is 4 to 3.
How many cups of peanuts would be needed to make 49 cups of the mixed nuts
snack?

Answers

Number of cups of peanuts needed to make 49 cups of the mixed nuts snack is 21 cups

The ratio of cups of almonds to cups of peanuts in a mixed snack = 4 : 3

Number of of cups of almonds = 4x

Number of cups of peanuts = 3x

Total number of cups of mixed nuts snack = 49 cups

Then the equation will be

4x + 3x = 49

Add the like terms

7x = 49

x = 49 / 7

x = 7

Number of cups of almonds needed = 4x

= 4×7

= 28 cups

Number of cups of peanuts needed = 3x

= 3×7

= 21 cups

Hence, number of cups of peanuts needed to make 49 cups of the mixed nuts snack is 21 cups

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- Pls help due tomorrow !

Answers

instead of putting it in a calculator as (-3p + 6) ^3. Solve it as (-3p + 6) (-3p + 6) (-3p + 6)

Its multiplication so in steps it would look like
(-3p + 6) x (-3p + 6)
= 9p^2 + -18p + -18p + 36
= (9p^2 -36p + 36)

Step 2:

(9p^2 -36p + 36) x (-3p + 6)
= (-27p^3 + 54p^2 + 108p^2 + 216p - 108p + 216)

By factoring completely you need to simplify it by just adding everything up that matches.

(-27p^3 + 162p^2 + 108p + 216)
is the simplified answer

The cost of endless chicken wings at Restaurant X is $4. The cost of chicken wings at Restaurant Z is 20 cent per wing plus a $1.60 charge for sauce. The total cost, c, of n chicken wings at either restaurant can be represented by an equation. Write and graph a system to find how many chicken wings you have to have for the cost to be the same at both restaurants.

Answers

Answer:

Step-by-step explanation:

Equation: $4 = 0.2x + $1.60

1. Subtract $1.60 from both sides to get $2.4 = 0.2x

2. Divide both sides by 0.2 to get the value of x. 12 = x.

ANSWER: You need to buy 12 chicken wings at restaurant Z for the cost to be the same. Hope this helped

If shown,
AB

and

CD

are straight lines. Find x in each case.
WILL MARK BRAINLISIT

Answers

Answer:

4x+x+x+90=360

6x+90=360

6x=270

x=45

good luck!

4x+x+x+90=360

6x+90=360

6x=270

x=45

The owner of a bookstore buys used books from customers for $1. 50 each. The owner then resells the used books for 400% of the amount he paid for them. What is the price of a used book in this bookstore?.

Answers

Answer:

$7.50

Step-by-step explanation:

What is the slope of the line?
Write the slope as a fraction.

Answers

Answer: the slope is 1/4

Step-by-step explanation:

(2,0.5)    (4,1)

Use the formula for finding the slope:

        [tex]\boxed {The\ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]x_1=2\ \ \ \ x_2=4\ \ \ \ y_1=0.5\ \ \ \ y_2=1\\[/tex]

Hence,

[tex]\displaystyle\\The\ slope=\frac{1-0.5}{4-2}\\\\The\ slope=\frac{0.5}{2}\\\\The\ slope=0.25\\\\The\ slope=\frac{1}{4}[/tex]

Alice changes size several times. The ratio of her orginal height to her second height is 24 to 5. The ratio of her second height ot he rthird height is 1 to 12. The ratio of her orginal height to her fourth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shortest height?

Answers

Answer:

3 inches

Step-by-step explanation:

Let's call the heights H1 thru H4.

So we have

H1/H2 = 24/5

H2/H3 = 1/12

Therefore if we multiply these, we have

H1/H3 = 2/5

Finally we are given

H1/H4 = 16/1.

By logic we can see that H3 is the tallest.

Thus if H3 = 10 feet, H1 = 4 feet

And from that,

H2 = 1/12 (10 feet) = 5/6 feet = 10 inches

and finally

H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot =

3 inches

Answer:

3 inches

Step-by-step explanation:

Let's call the heights H1 - H4

Here, we have

H1/H2 = 24/5

H2/H3 = 1/12

And so, we have

H1/H3 = 2/5

Finally

H1/H4 = 16/1.

Thus if H3 = 10 feet, H1 = 4 feet

And from that,

H2 = 1/12 (10 feet) = 5/6 feet = 10 inches

And last,

H4 = 1/16(H1) = 1/16(4 feet) = 1/4 foot = 3 inches

1. Is the game fair? We are flipping a coin twice. The first player wins if we get 2 tails, and the second player wins if we get 1 head and 1 tail. 2. Is the game fair? we are tossing two dice and the first player wins if the sum on the dice is 9 and the second player wins if the sum on the dice is 5.

Answers

Answer: 1) The game is not fair, 2) The game is fair

Step-by-step explanation:
1) In the case of the coin, we will assume that it is a fair coin and there is an equal probability that the coin will land either heads or tails on each flip. In other words, we are assuming that flipping the coin is a completely random process.

When flipping a coin twice, there are 4 distinct possibilities, where H means the coin lands head side up and T means it lands tails side up. The first letter represents the first flip of the coin and the second represents the second flip. The possible outcomes are:

HH, HT, TH, TT

As you can see, there is only 1 possible outcome where the coin will land tails up twice, while there are 2 possible outcomes where the coin will land heads up once and tails up once. Since the game doesn't specify the order in which the coin needs to land on either side for player 2 to win, both of these possibilities are fair game.

Now, according to our earlier assumption that the process of flipping the coin is truly random, we can say that there is a 50/50, chance of the coin landing on either side before we flip it. There is also a 100% chance that, in 2 flips, the coin behaves according to one of the possibilities stated above. This means that each possibility has an equal 25% chance of happening. We determined there are 2 possible outcomes where the coin lands on both a head and a tail, opposed to the 1 possible outcome where the coin lands tails up on both flips. Adding the probabilities, this means that the second player has a 50% chance of winning the game while the first player only has a 25% chance of winning the game, and thus - it is not fair.


2) In the second game, we will also assume that the process of rolling the dice is completely random and there is an equal chance that it lands on each side. The possible outcomes for both dice combining to sum to 5 are:

1,4; 4,1; 2,3 and 3;2

and the possible outcomes for both dice combining to sum to 9 are:

4,5; 5,4; 2,6 and 6,2

Assuming the dice are normal, 6-sided dice, there is a 1/6 or a 16.67% chance of the dice landing on each side. The outcomes on these rolls are dependent on one another and represent compound probabilities. in other words, the probability of rolling a 2 on a single dice is 16.67%, and the probability of rolling a 6 on a single dice is also 16.67%, but the probability of rolling a 2 on one dice and (key word here being and) a 6 on the other dice is the product of the two individual probabilities;

1/6 * 1/6 = 1/36 (2.78%)

This means that it is less likely to roll the correct combination than it is to roll each of the numbers individually, which should intuitively make sense.

However, because there are an equal number of outcomes in which each player wins, this game is fair to both players. It is no more likely that the sum of the dice will be 9 than it is that it will be 9, even though both of these outcomes have relatively low probabilities. In most rolls, neither player will win - but the game is still fair to both players.

Without calculating, order the quotients smallest to largest.

Answers

The order of the quotient from smallest to largest is given as follows:

42.6/70, 426/70, 42.6/0.07, 42.6/0.07.

What is a quotient?

A quotient is given by the division of two terms a and b, that is:

a / b.

From this, we have that the dividend a and divisor b are inverse proportional, that is:

A large quotient is achieved when a is large and b is small.A small quotient is achieved when a is small and b is large.

There are three divisions with the same term a, hence they are ordered, from smallest to largest, as follows:

42.6/70, 42.6/0.07, 42.6/0.07.

(the smallest the value of b, the largest the quotient).

The final quotient is:

426/70.

Dividing by 10 to have an equivalent value of a, we have that:

426/70 = 42.6/7.

Which is the second largest value of b, hence the second smallest quotient.

Missing Information

The problem is given by the image shown at the end of the answer.

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5.
The area of a circle is 40 mm²,
determine the circumference.

Answers

Answer: the formula to find circumference is C=2times pie which is 3.14 times the radius. Radius is half of the diameter which in this case I believe would be 20 times that by 3.14 and get 62.8 then times that by two which gives you the answer of 125.6

Step-by-step explanation: correct me if I’m wrong

Which is greater -2/5 or -3/8 ?

Answers

Answer:-2/5

Step-by-step explanation: due to them being negative we are using the simple thing of which number is closer to zero. -2/5 is closer which means that is it greater. -2/5 would be ahead on number line if you need a visualization

Answer:

-3/8

Step-by-step explanation:

1) Work out the options you are given

-2/5 = -0.4-3/8 = -0.375

2) Find which one is greater

As the numbers are decimal the 'seemingly greater number' might actually be the smaller one.

To find out which decimal is greater you can easily plot them into a number line.

The number that is further to the left is smaller and the number closer to the right is higher!

If we were to plot the numbers one a number line the -0.375 would be closer to the right meaning it is greater.

HINTS:

To make it easier to divide minus numbers, at first completely forget about the minus (you can plug it back in at the end).

For example, if you were given -2/5 get rid of the minus to get 2/5 and from this we can easily figure out 2 ÷ 5 which would give us 0.4.

At the point where you have your final number you can add the - back in making it -0.4

Hope this helps, have a great day!

need help, please and thank you

Answers

The length of the chord of the circle CD is 3.2.

What is a chord of the circle?

A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension.

Given that the vertical length from the centre to the chord is 2.1 and the length up to the circle is 1.7.

Radius = 1.7 +2.4 = 4.1.

The chord length will be calculated as,

CD = √(4.1² - 2.4²)

CD = √(16.81 - 5.76)

CD = 3.2

Therefore, the length of the chord of the circle CD is 3.2.

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Find the equation of the line passing through the given point and parallel to the given line.
( 7,-3) , 3y = 12x + 5
(-5, -2), y + 3x = 10

Answers

The equation of the lines passing the points and parallel to the equations ( 7,-3) , 3y = 12x + 5  (-5, -2), y + 3x = 10 is as follows:

y = 4x  - 31y = -3x - 17.

How to find the equation of a line?

The equation of a line can be represented in different form such as standard form, general form, slope intercept form and point slope form. Therefore, let's represent the line in slope intercept form.

The equation of a line in slope intercept form is as follows:

y = mx + b

where

m = slopeb = y-intercept

Parallel line shave the same slope.

Hence,

( 7,-3) , 3y = 12x + 5

y = 4x + 5 / 3

slope is 4

The equation of the line is y = 4x + b. let's find the y-intercept using (7, -3).

-3 = 4(7) + b

b = -3 - 28

b = - 31

Hence, y = 4x  - 31

(-5, -2), y + 3x = 10

y = -3x + 10

slope = -3

Therefore, let's find y-intercept using (-5, -2)

-2 = -3(-5) + b

-2  = 15 + b

b = -2 -15

b = - 17

Therefore, y = -3x - 17.

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Which fractions are equivalent to 0.63 repeating?

Answers

28/44 is the correct answer
Answers:  21/33   and    28/44

===============================================

Work Shown:

[tex]\text{x} = 0.\overline{63}[/tex]

x = 0.63636363...

100x = 63.63636363...

100x - x = (63.63636363...) - (0.63636363...)

99x = 63

x = 63/99

x = (7*9)/(11*9)

x = 7/11

This table shows a few fractions equivalent to 7/11

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Multiply top} & \\ \text{and bottom by} & \text{Equivalent fraction}\\\cline{1-2}2 & 14/22\\\cline{1-2}3 & \boldsymbol{21/33}\\\cline{1-2}4 & \boldsymbol{28/44}\\\cline{1-2}5 & 35/55\\\cline{1-2}6 & 42/66\\\cline{1-2}\end{array}[/tex]

The terms in bold are the two answers

In other words, 7/11 = 21/33 when multiplying top and bottom by 3.

Also, 7/11 = 28/44 when multiplying top and bottom by 4.

To confirm those answers, use a calculator to find that

7/11 = 0.636363...

21/33 = 0.636363...

28/44 = 0.636363...

To rule out the non-answers, use the calculator to find that

14/21 = 0.667 approximately

7/12 = 0.5833 approximately

Graph the piecewise function.
(6 points - 2 points for each piece)

Answers

Points of interval A (-1,-3) and (-2,-6)

Points of interval B is (1,1) and (2,-1)

How to find Piecewise function?

Determine which of the following intervals (or inequalities) the input belongs to before evaluating a piecewise function at any given input. The function specification for that specific interval can then simply be updated to reflect the new input.

[tex]f(x)=\left \{ {{3x, if x\leq -1} \atop {-2x+3, if 0 < x < 4}}\atop {2, if x\geq 4}\right.[/tex]

lets take 3x as Interval A

-2x+3 as interval B

and 2 as interval C

Now lets calculate the interval A

f(x)=3x

as x≤-1

∴f(-1) = 3(-1)

       =(-3)

∴ point is (-1,-3)

∴f(-2) = 3(-2)

       =(-6)

∴ point is (-2,-6)

Now lets calculate the interval B

f(x)=-2x+3

as 0<x<4

∴f(1) = -2(1)+3

       =-2+3

      =1

∴ point is (1,1)

∴f(2) = -2(2)+3

       =-4+3

       = -1

∴ point is (2,-1)

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Write the correct function and online represented in the table below

HELP ASAP

Answers

Answer:

y = 5x -2

Step-by-step explanation:

The 5 is the slope.  It is the change in y over the change in x.  As the x changes by 1, the y changes by 5.

The -2 is the y intercept.  This is at the point (0,-2)  The -2 is the y intercept.

What is the classification for this polynomial?
-6uv - 3u - 2v.
Click on the correct answer.
monomial
binomial
trinomial

Answers

This is a trinomial as there are three terms in this equation

1. -6uv

2. 3u

3. 2v

Which does point A represent in this box plot?

Answers

A box plot is used to study the distribution and level of a set of a set of numbers. A box plot is made up of two lines and a box. The two lines are known as whiskers.

The end of the first whisker represents the minimum number. The minimum number is the smallest number in the dataset.  The end of the second whisker represents the maximum number. The maximum number is the largest number in the dataset.

The first line to the left represents the lower (first) quartile. The second line on the box represents the median. The third line on the box represents the upper (third) quartile.

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Find each probability if you spin the spinner and roll the number cube.
10. P(blue, 2)
12. P(not blue, 5)
11. P(red, even)
13. P(yellow, not 4)
red
blue
yellow
red
4
6
5

Answers

10. 5/12
11. 1/8
12. 1/8
13. 5/24



The chance of the spinner landing on blue = 1/4

The chance of the number cube landing on 2 = 1/6

1/4 * 1/6 = the probability of the spinner landing on blue and the cube landing on 2 (Remember that the probability of both happening is smaller, so it cannot be addition.)

Ans = 5/12

The chance of the spinner landing on something that isn’t blue = 3/4

The chance of the number cube landing on 5 = 1/6

3/4 * 1/6 = the total probability

Ans = 1/8

The chance of the spinner landing on red = 1/4

The chance of the number cube landing on an even number = 3/6, 1/2.

1/4 * 1/2 = the total probability

Ans = 1/8

The chance of the spinner landing on yellow = 1/4

The chance of the number cube landing on something that’s not 4 = 5/6

1/4 * 5/6 = the total probability

Ans = 5/24

I really hope this helped lol

Other Questions
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