An object traveling 40 meters in one direction has a velocity defined by the function , where t is the time, in seconds. The momentum of the object can be determined by the function p(v) = mv, where m is the mass of the object and v is the velocity of the object. Which function can be used to determine the momentum the object has if it travels 40 meters in t seconds?

They form a proportion when both of the ratios are equivalent.

An example: 3/15 and 1/5 is a proportion because the are equivalent.

The reason why they are equivalent is because if you cross multiply meaning doing 3*5 which equals 15 and 15*1 which equals 15 so basically you multiply the numerator by the other fractions denominator and do the same for the other side and see if the numbers are the same if they are not the same they are not a proportion if they are the same they are a proportion.

Hope this helps!

Answer:

yes

Step-by-step explanation:

because you can set them up as a fraction too. example;

2/3 is the same as 2:3, with which you can set equal to another thing and solve

Answer:

2u

Step-by-step explanation:

Convert the percentage into a decimal

[tex]50 * .20 = 10[/tex]

[tex]50 - 10 = 40[/tex]

20% of 50 is 40

Answer:18.12

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

We are given the following two points from which the line passes and has a slope of [tex]\frac{2}{3}[/tex].

We are to find the value of x.

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{10-8}{x-(-4)}[/tex]

[tex]\frac{2}{3}[/tex] = [tex]\frac{2}{x+4}[/tex]

By cross multiplication:

[tex]2(x+4)=3 \times 2[/tex]

[tex]2x+8=6[/tex]

[tex]2x=-2[/tex]

x = -1

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with ele axis and

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

How we have:

[tex]\frac {2} {3} = \frac {8-10} {- 4-x}\\\frac {8-10} {- 4-x} = \frac {2} {3}\\\frac {-2} {- 4-x} = \frac {2} {3}[/tex]

We clear the value of "x"

[tex]2 (-4-x) = - 6\\-8-2x = -6\\-2x = -6 + 8\\-2x = 2\\x = \frac {2} {- 2}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]

Answer:

196 pi

Step-by-step explanation:

Equation for Surface Area = 4 pi r^2

r = 14/2 = 7

4(7^2)pi

(4)(49)pi

196pi

Answer:

2 2/3 inches cubed

Step-by-step explanation:

volume is length x width x height. 3 x 2 2/3 x 1/3 = 2 2/3.

Answer:

2 2/3 in cubed

Step-by-step explanation:

What is the question being asked here?

Answer:

x² - 4x + 2 = (x - 2)²

Answer: 81 outcomes.

Step-by-step explanation:

Multiply all the choices together.

3x9x3=81 outcomes.

Hope this helps!

Answer:

In total there are 81 possible combinations.

Step-by-step explanation:

You multiply all possible sizes by all possible flavors by all possible juices and you get your answer.

Have a nice day :]

3 times 9 times 3=81 combos

Answer:

I think 15/20

Step-by-step explanation:

If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.

Hope i have helped you!

Answer:

y^-1 = (x + 4)/5

Step-by-step explanation:

To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:

→ y = 5x - 4

→ x = 5y - 4

Now, solving for 'y':

→ x = 5y - 4

→ x + 4 = 5y

→ y = (x + 4)/5

therefore, the inverse equation is: y^-1 = (x + 4)/5

Answer:

12.)a>/=-4

15.)b</=2/3

cant graph sorry

Step-by-step explanation:

Answer:

PD = 30

Step-by-step explanation:

2 secants intersect inside a circle the product of their parts are equal, that is

20(2x + 3) = 18(2x + 6) ← distribute both sides

40x + 60 = 36x + 108 ( subtract 36x from both sides )

4x + 60 = 108 ( subtract 60 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Hence

PD = 2x + 6 = (2 × 12 ) + 6 = 24 + 6 = 30

Answer:

In the 2% account, Sally has $2200 and in the 6% account, Sally has $6600.

Step-by-step explanation:

Suppose the amount invested at 2% is $X and the amount invested at 6% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:

X + Y = 8800 (The sum of investments is basically the total income).

0.02X + 0.06Y = 440 (The sum of the interest received from the invested amounts is actually the total return).

Now solving these 2 simultaneous equations:

x + y = 8800 (Equation 1)

2x + 6y = 44000 (Equation 2)

From (Equation 1):

x = 8800 - y (Equation 3)

Put (Equation 3) in (Equation 2):

2(8800 - y) + 6y = 44000.

17600 - 2y + 6y = 44000.

4y = 26400

y = 6600.

To find x, substitute y = 6600 in equation 3. This gives:

x = 8800 - y.

x = 8800 - 6600.

x = 2200.

So in the 2% account, Sally has $2200 and in the 6% account, Sally has $6600!!!

Answer:

n = -5, 3.

Step-by-step explanation:

n^2 + 2n - 15 = 0

Let's check if we can factor this quadratic:

We need 2 numbers whose product is -15 and whose sum is +2.

There are 2 such numbers and they are +5 and -3, so the factors are:

(n + 5)(n - 3) = 0.

n + 5 = 0 or n - 3 = 0

therefore the zeroes are -5 and 3.

Answer:

Final answer is [tex]t=5[/tex].

Step-by-step explanation:

Given equation is [tex]t^2-25=0[/tex].

Now we need to solve that equation for t when [tex]t>0[/tex].

[tex]t^2-25=0[/tex]

[tex]t^2-5^2=0[/tex]

[tex](t+5)(t-5)=0[/tex]

or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]

or [tex]t+5=0[/tex], [tex]t-5=0[/tex]

or [tex]t=-5[/tex], [tex]t=5[/tex]

Given that t>0

so that means t=-5 is not possible.

Hence final answer is [tex]t=5[/tex].

Answer:

Step-by-step explanation:

Interesting question. Perhaps an inverse relationship.

y = k/x where k is a constant like 10.

The problem begins to become a problem when  x approaches 0 and that happens quite frequently.

I would say as a class of numbers, 0 is the most problematic. 0 was developed about 1100 years after the death of Christ so the concept is pretty subtle. The Romans had no value for 0 as a place holder. 2019 for them was not written with anything that resembled a zero. (MMXIX is how they would write it). That's got to be very awkward when giving parts of an inch in their engineering drawings.

The second group that probably causes some trouble would be the irrationals. pi for one. sqrt(3) for another.  That took a while to develop as well.

Final answer:

The type of number that often gets mathematicians in trouble when using functions to model real-world situations is irrational numbers.

Explanation:

The type of number that often gets mathematicians in trouble when trying to use functions to model real-world situations is irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They consist of an infinite decimal expansion without a repeating pattern. Examples of irrational numbers include π (pi) and √2 (the square root of 2).

Mathematicians may encounter irrational numbers when dealing with measurements, calculations, or any situation that requires precise numerical representations. Irrational numbers can cause difficulties because they cannot be represented exactly and must be approximated for practical use.

For example, if a mathematician is trying to model the distance a car travels in a given time, they may encounter irrational values when dealing with measurements involving π or √2. These values may need to be rounded or approximated to fit the model, introducing potential errors in the calculations.

A) a'(0,-4), b'(2,-1), c'(3,-5)

since the coordinates are only moved 5 units down, just reduce the y-coordinates by 5

SSS Similarity Theorem

Answer:

Option B

Step-by-step explanation:

It is always wise to ask who or what the organization is asking. Always be safe.

Answer:

I would 100% go with

"Option B. Ask for the name of their organization and look for information about them to make sure they're authentic before he donates"

Step-by-step explanation:

That was the only logical decision, because for D. you can't just hope for the best and donate "blindfolded". A. was really not a smart decision because if you give someone your credit card number, they could easily take all the money they wanted off of it and put you in loads of debt. And then for C., it was the same with D., you can't just donate to an organization or charity fund when you have no idea if it's a probable cause or not. So, in conclusion "Option B." is your best and most logical answer.

Answer: It will hold 9,000 gallons (I'm guessing as that is the stand unit of water for something like this)

Step-by-step explanation:

60 * 25 = 1,500

1500 * 6 = 9000

Answer:

9000 feet cubed

Answer:

Here is the answer with the steps

Step-by-step explanation:

Hope you liked it!!

Answer:

There is a 2.275% chance that more than 250 books were borrowed in a week.

Step-by-step explanation:

Let the random variable X denote the number of books borrowed from the library each week. Then from the information given;

X is normally distributed with a mean of 190 and a standard deviation of 30.

We are required to determine the probability that more than 250 books were borrowed in a week;

This can be written symbolically as;

Pr(X > 250)

The first step is to determine the z-score associated with the value 250. This is obtained via standardizing X;

Pr(X > 250) = [tex]Pr(Z>\frac{250-190}{30})=Pr(Z>2)[/tex]

This is simply the area to the right of 2 in a standard normal curve. From the standard normal table, this area is; 0.02275

As a percentage this is equivalent to 2.275%

To find the probability of borrowing more than 250 books, calculate the Z-score and use a standard normal distribution table to find the corresponding percentile. Subtract this percentile from 1 to obtain the desired probability.

The question involves using the properties of a normal distribution to find the probability that more than 250 books were borrowed in a week, given that the mean number of books borrowed is 190 and the standard deviation is 30. To determine this probability, one would calculate the Z-score for 250 books and then refer to a standard normal distribution table or use a calculator with normal distribution functions to find the area under the curve to the right of this Z-score.

To calculate the Z-score, we use the formula:

Where X is the value of interest (250 books), μ is the mean (190 books), and σ is the standard deviation (30 books).

Calculating it gives:

The Z-score of 2 corresponds to a certain percentile in the standard normal distribution, which indicates the probability that a sample has a value less than 250. To find the probability of a value being more than 250, one would subtract this percentile from 1.

Answer:

Step-by-step explanation:

the a square deck as a whole area is 225

side^2 so 15^2

the circles area is 78.54

area of circle formula= pi(r^2)

if you subtract the circle from the squares area you get the outside.

area of deck= 146.46

Answer:

146.5 or option A

Step-by-step explanation:

edg 2021

Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.

1/2 divided by 1/3

To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.

f(30)= 14-0.5(30)

f(30)= 14-15

f(30)= -1

Answer is f(-30)= -1

ANSWER

[tex]f(30) = - 1[/tex]

EXPLANATION

The given expression is

f(x)=14-0.5x

We want to finfmd f(30).

We substitute x=30 into the expression to obtain:

[tex]f(30)=14-0.5(30)[/tex]

Multiply out the last term to obtain,

[tex]f(30)=14-15[/tex]

Simplify to get,

[tex]f(30)= - 1[/tex]

93.75h. Mr. Demir must work 93.75h at his part-time job to make sure that he and his wife have met their monthly budget.

This problem can be solved by simply  arithmetic, The montly budget is $5,500, Mrs. Demir takes home $4,000 each month.  Then what remains to achieve the budget is:

$5,500 - $4,000 = $1,500

Mr. Demir works part time and earns $16 per hour, In order to achieve the monthly budget, Mr. Demir need to take home $1,500. Then, to take home $1,500 Mr. Demir has to work:

1500/16 = 93.75

Mr. Demir has to work 93.75 hours per month in order to achieve the monthly budget

12÷4

=3

because theres 12 gallons n theres four qts in each so you divide

The answer is the 12 multiplied by 4

To find the total cost, multiply the price of the player by 1 + sales tax.

60 x 1.0675 = 64.05

The total cost would be $64.05

Answer: 70$$

Step-by-step explanation: Im smart

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

[tex]m1*m2=-1[/tex]

we have

[tex]y=3x+5[/tex] -----> equation of line q

the slope of line q is

[tex]m1=3[/tex]

Find the slope of line p

[tex]m1*m2=-1[/tex]

[tex]3*m2=-1[/tex]

[tex]m2=-1/3[/tex] ----> slope of line p

Find the equation of the line p

The equation into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]point(6,-5)[/tex]

[tex]m=-1/3[/tex]

substitute

[tex]y+5=-(1/3)(x-6)[/tex]

[tex]y=-(1/3)x+2-5[/tex]

[tex]y=-(1/3)x-3[/tex] ----> equation of the line p

see the attached figure to better understand the problem

The slope of line q is 3, so the slope of line p, which is perpendicular to line q, is -1/3. Substituting the given point (6, -5) and this calculated slope into the point-slope form of a linear equation, we find the equation of line p to be y = -1/3x + 3. The reciprocal of the slope -1/3 is -3.

The equation of line q given is y=3x+5. The slope of this line is 3. Perpendicular lines have slopes that are negative reciprocals of each other. Therefore, the slope of line p, which is perpendicular to line q, should be the negative reciprocal of 3, which is -1/3. To find the equation of line p, use the point-slope form of a linear equation, which is y-y₁ = m(x-x₁), where m is the slope, and (x₁, y₁) is a point on the line. Substituting the given point (6, -5) and the calculated slope -1/3 into that formula, the equation for line p becomes: y - (-5) = -1/3 (x - 6), or simplifying further, y = -1/3x + 3. The reciprocal of the slope -1/3 is -3.

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