Two-fifths of the sum of 3 and y

Answer:

B

Step-by-step explanation:

If point [tex]O(x_O,y_O)[/tex] divides the segment CD with endpoints at [tex]C(x_C,y_C)[/tex] and [tex]D(x_D,y_D)[/tex] in the ratio [tex]m:n,[/tex] then

[tex]x_O=\dfrac{nx_C+mx_D}{m+n}\\ \\y_O=\dfrac{ny_C+my_D}{m+n}[/tex]

In your case,

[tex]x_C=-4\\ \\y_C=3\\ \\x_D=8\\ \\y_D=-1\\ \\m:n=2:3,[/tex]

then

[tex]x_O=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}\\ \\y_O=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}[/tex]

Answer:

  y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7-(-1))/(4-3)(x -3) +(-1)

  y = 8(x -3) -1

  y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

1) The work done is 1000 J

2) The kinetic energy is 600 J

3) There is a continuous conversion between kinetic and potential energy

Step-by-step explanation:

1)

The work  done by a force when pushing/pulling an object is given by

[tex]W=Fd cos \theta[/tex]

where

F is the magnitude of the force

d is the displacement

[tex]\theta[/tex] is the angle between the direction of the force and of the displacement

In this problem, we have:

F = 50 N is the force

d = 20 m is the displacement

[tex]\theta=0[/tex], assuming the object is parallel to the displacement

Substituitng,

[tex]W=(50)(20)(cos 0)=1000 J[/tex]

2)

The kinetic energy of an object is the energy due to the motion of the object. It is given by

[tex]K=\frac{1}{2}mv^2[/tex]

where

m is the mass of the object

v is its speed

For the object in this problem,

m = 12 kg is the mass

v = 10 m/s is the speed

Substituting, we find

[tex]K=\frac{1}{2}(12)(10)^2=600 J[/tex]

3)

Here the skateboarder is moving on the half-pipe. According to the law of conservation of energy, the total mechanical energy, sum of kinetic and potential energy, is conserved:

[tex]E=KE+PE=const.[/tex]

This means that:

Therefore, there is a continuous conversion between potential and kinetic energy.

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Answer:

1. W = Fs

W = 50 N  20 m

W = 1,000 J

2. Ek=mv22

Ek=12kg×(10m/s2)2

Ek=12×1002

Ek=1,2002

Ek = 600 J

3. At point A, the skateboarder’s energy is all potential since she is high up (PE = mgh), and gravity has the potential to pull her down. She isn't moving, so she doesn't have velocity. Therefore, she doesn't have kinetic energy. At point B, she is moving the fastest during her ride and is as close to the ground as the ramp allows. Thus, her potential energy has been turned into kinetic energy due to her velocity and lack of height. At point C, if she comes to a stop on the other side of the half-pipe, her kinetic energy has been turned back into potential energy since she is high up again.

4. Eventually, the friction between the wheels and the ground will cause the skateboard to stop. Each time she goes back and forth, she will lose some of her initial energy from her drop-in, as long as she doesn't push off the sides at all.

Step-by-step explanation:

Penn foster :)

Answer:

y is going back by 3's x is going back one

Step-by-step explanation:

Answer:

The integers are 13, 14, and 15.

Step-by-step explanation:

Let the smallest one be x.

Then, the other two integers are x + 1 and x + 2.

x + x + 1 + x + 2 = 42

3x + 3 = 42

3x = 39

x = 13

x + 1 = 14

x + 2 = 15

The integers are 13, 14, and 15.

Answer:

there is only one x-intercept. The x-intercept is 2.6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x = 12

x = 12/2

x = 6

And

x - 5y = -29

6 = - 5y = - 29

-5y = -29 - 6

-5y = -35

y = -35/-5

y = 7

The solution to the system of equation is (6, 7)

Given the system of equation

2x = 12 and

x - 5y = -29

From equation 1;

2x = 12

x = 6

Substitute x = 6 into equation 2:

x - 5y = -29

6 - 5y = -29

-5y = -29 - 6

-5y = -35

y = 7

Hence the solution to the system of equation is (6, 7)

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Answer:

1:1.22  Look at explanation and picture.

Step-by-step explanation:

If Jacob was given 45 Brazilian currency items for $55 you would need to divide 55 by 45 to see how much American dollars it would take to recieve one Brazilian currency.

For one Brazilian currency you need about (fig A) american currency for 1 brazilian currency.

The exchange rate for Brazilian real per American dollar for Jacob's transaction is approximately 0.8182 real per dollar, calculated by dividing the total amount of reals received by the dollars exchanged.

To calculate the exchange rate of Brazilian real per American dollar for Jacob's currency exchange, we divide the amount of Brazilian real he received by the amount of American dollars he exchanged. Jacob received 45 Brazilian real for $55 US dollars. The calculation to find the exchange rate is as follows:

It is important to compare this rate with the market rates mentioned, such as 35 cents/real or the government-set rate of 30 cents/real. It can be observed that Jacob's exchange rate is different from these rates, which illustrates how actual exchange rates may vary due to different factors such as service charges or varying rates across different currency exchange venues.

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

Work Shown:

Let x = 5i-3

That allows us to go from (5i-3)(2i+1) to x(2i+1)

Distribute the x through: x*(2i) + x*(1) = 2i*x + x = 2i(x) + 1(x)

Now we replace every x in 2i(x) + 1(x) with 5i-3, and then we distribute a second time

2i(x) + 1(x) = 2i(5i-3) + 1(5i-3)

2i(x) + 1(x) = 2i(5i)+2i(-3) + 1(5i)+1(-3)

2i(x) + 1(x) = 10i^2 - 6i + 5i - 3

2i(x) + 1(x) = 10(-1) - i - 3

2i(x) + 1(x) = -10 - i - 3

2i(x) + 1(x) = -13 - i

Therefore, (5i-3)(2i+1) = -13 - i

The result is in a+bi form where a = -13 and b = -1.

------------------

An alternative method is to use the box method. This is where you set up a grid that helps you multiply out (5i-3)(2i+1)

See the diagram below.

Each of the 4 red terms in the boxes represents the result of multiplying the outer blue and green terms. Example: 5i times 2i = 10i^2 in row1, column1.

Answer:

The answer is 1w+7

Step-by-step explanation:

you first combine 8w and -7w to get 1w then you combine 9 and -2 to get 7

To find out how many more players are in the NFL than in the MLB, calculate the total number of players in each league and then subtract. This results in 496 more players in the NFL.

To determine how many more players are in the National Football League (NFL) than in Major League Baseball (MLB), you need to apply basic multiplication and subtraction.

Therefore, there are 496 more players in the NFL than in the MLB.

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There are 496 more players in the National Football League than in Major League Baseball.

To find out how many more players are in the National Football League (NFL) compared to Major League Baseball (MLB), we will first calculate the total number of players in each league.

Step 1: Calculate the total number of players in each league

NFL:

MLB:

Step 2: Calculate the difference in total players

Conclusion

Thus, there are 496 more players in the National Football League than in Major League Baseball.

Answer:

The correct answer is,

The two-way frequency table is given as:

                                      Band            Not in Band       Total

Play instrument                    20                     5                   25

Do not play instrument        0                       15                 15

Total                                     20                      20                40

Step-by-step explanation:

Given that;

We are given a survey of 40 students regarding whether they play an instrument or not.

We are given an information as:

1. 25 students play an instrument.

2. 20 students are in band.

3. 20 students are not in band

Hence, the table can be formed as:

                                               Band          Not in Band        Total

Play instrument                    20                     5                   25

Do not play instrument          0                       15                 15

Total                                     20                      20                40

Since, those who don't play any instruments can't even play band hence the value of that in table is 0.

Thus, Option C is correct.

Answer:

(x+4)(3x^2 + 2)

Step-by-step explanation:

3x^3+12x^2+2x+8

3x^2(x + 4) + 2(x + 4)

(x+4)(3x^2 + 2)

Answer:

40, 50, and 90

Step-by-step explanation:

You know that there are 180 degrees in a triangle, so you'd use the ratio to find each angle by setting up your equation like this: 4x+5x+9x=180

Then, simplify the equation and solve for x:

Then, plug 10 into each x value to find each angle measure:

4(10)=40, 5(10)=50, 9(10)=90

Final answer:

The measures of the angles in a triangle with a ratio of 4:5:9 are 40 degrees, 50 degrees, and 90 degrees respectively, calculated by dividing 180 degrees by the sum of the ratios and then multiplying by each individual ratio.

Explanation:

The question is asking us to find the measure of each angle in a triangle when the ratio of the angle measures is given as 4:5:9. To solve this, we will use the fact that the sum of the angles in any triangle is 180 degrees.

First, let's add the ratios together (4+5+9=18) to find the total number of parts that divide the 180 degrees. Now, divide the total degrees (180) by the number of parts (18) to find the measure of one part, which is 10 degrees. Then, multiply the value of one part by the number of parts for each ratio: 4 parts, 5 parts, and 9 parts.

The measure of the first angle (4 parts) is 4 x 10 = 40 degrees, the second angle (5 parts) is 5 x 10 = 50 degrees, and the third angle (9 parts) is 9 x 10 = 90 degrees. Hence, the measures of the angles in the triangle are 40 degrees, 50 degrees, and 90 degrees respectively.

Answer:

28+4v

Step-by-step explanation:

multiply each term in parenthesis by 4.

multiply the numbers 4×7+4v

= the solution 28+4v

Answer:

V = -7 or 28 + 4V

Step-by-step explanation:

distribute the 4 to the 7 and V ---> 28 + 4v = 0

subtract 28 from both sides ---> 4V = -28

divide 4 by both sides --> V = -7

Answer:

mAngle2 = 50°

Step-by-step explanation:

A relative schematic has been attached bellow describing the problem.

In this case, we will be working with Supplementary angles. The latter denote angles which when summed together equal to 180°.

From the schematic we can identify the following Supplementary pairs as:

∠1 and ∠2

∠2 and ∠(18x+4)

∠(18x+4) and ∠(7x+1)

∠(7x+1) and ∠1

So lets start by finding the value of [tex]x[/tex] as follow. Since we know the supplementary pairs we have that

[tex](18x+4)+(7x+1)=180\\18x+7x+4+1=180\\25x+5=180\\25x=180-5\\25x=175\\x=\frac{175}{25} \\x=7[/tex]

Now we similarly know that ∠2 and ∠(18x+4) are supplementary. So lets replace the value of [tex]x[/tex] in ∠[tex]18x+4[/tex], we have

[tex]18(x=7)+4=126+4=130[/tex]

So finally we have

[tex]<2 + 130=180\\<2=180-130\\<2=50[/tex]

Thus we can say that ∠2 = 50° (which matches the second options from the available ones).

Answer:

50

Step-by-step explanation:

The number of sections made is [tex]\frac{3}{4}[/tex]

Solution:

Given that, Sarah paints a straight line

The line is [tex]13\frac{1}{2}[/tex] feet

She wants to divide the line into sections that are each 18 ft long

To find: Number of sections

From given,

[tex]\text{Length of line } = 13\frac{1}{2} = 13.5 \text{ feet }[/tex]

[tex]\text{Length of 1 section } = 18 \text{ feet }[/tex]

Number of sections can be found by dividing the total length of line by length of 1 section

[tex]\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of 1 section}}[/tex]

Substituting the values, we get,

[tex]\text{Number of sections } = \frac{13.5}{18} = 0.75 = \frac{3}{4}[/tex]

Thus number of sections made is [tex]\frac{3}{4}[/tex]

Answer:

2x2+4xy+2y+x+y−6

Step-by-step explanation:

Hope this helps!

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Answer:

100000

Explanation:

We have the natural base of the log; 10.

Now, since we are solving  for the value that is being "logged"

we can say 10 to the power of 5 equals.... what?

10^5 is 100000, x 100000.

Hope this helps!

Answer:

  w = V/(ℓh)

Step-by-step explanation:

Divide the given equation by the coefficient of w:

  V/(ℓh) = ℓwh/(ℓh)

  w = V/(ℓh)

Answer:

[tex]2d^2-d+5[/tex]

Step-by-step explanation:

The total number of burgers sold from a restaurant from Monday to Sunday:

[tex]f(d)=200d^3+542d^2+179d+1605[/tex]

The number of visitors to the restaurant from Monday to Sunday:

[tex]g(d)=100d+321[/tex]

To find the average number of burgers per person, just divide [tex]f(d)[/tex] by [tex]g(d).[/tex]

First, multiply [tex]g(d)[/tex] by [tex]2d^2[/tex] and subtract the result from [tex]f(d)[/tex]:

[tex]200d^3+542d^2+179d+1605-2d^2(100d+321)\\ \\=200d^3+542d^2+179d+1605-200d^3-642d^2\\ \\=-100d^2+179d+1605[/tex]

Then, multiply  [tex]g(d)[/tex] by [tex]-d[/tex] and subtract the result from [tex]-100d^2+179d+1605[/tex]:

[tex]-100d^2+179d+1605-(-d)(100d+321)\\ \\=-100d^2+179d+1605+100d^2+321d\\ \\=500d+1605[/tex]

Now, multiply  [tex]g(d)[/tex] by [tex]5[/tex] and subtract the result from [tex]500d+1605[/tex]:

[tex]500d+1605-5(100d+321)\\ \\=500d+1605-500d-1605\\ \\=0[/tex]

Hence,

[tex]f(d)=g(d)(2d^2-d+5)[/tex]

and the function

[tex]b(d)=2d^2-d+5[/tex]

represents the average number of burgers per person.

Answer:

solution is (6,2)

Step-by-step explanation:

3x - 2y = 14

5x + y = 32....multiply by 2

------------

3x - 2y = 14

10x + 2y = 64 (result of multiplying by 2)

------------add

13x = 78

x 78/13

x = 6

5x + y = 32

5(6) + y = 32

30 + y = 32

y = 32 - 30

y = 2

Answer:

C.

Step-by-step explanation:

The eqn. of a circle with centre (h,k)and radius ris given by,

Answer:

40ft^2

Step-by-step explanation:

multiply :

2(2*3)

2(2*2.8)        

2(3*2.8)

Each value in the parenthesis are the areas of 3 different sides. You then multiply by two because there is another side opposite to the side that is the same.

then add all of those up

you get 40

Answer:

y= -5/2x - -1

Step-by-step explanation:

1. Identify two points on the line

2. Select one to be (x1, y1) and the other to be (x2, y2).

3. Use the slope equation to calculate slope.

Final answer should be in the formula y=mx+b

The slope of the line passing through the points (0, -1) and (-2, -4) is calculated using the formula (Y2-Y1)/(X2-X1) and results in a slope of 1.5.

To find the slope of the line passing through two points, you can use the slope formula:

m = (Y2-Y1)/(X2-X1)

Applying this formula to the given points (0, -1) and (-2, -4):

Calculate the difference in the y-coordinates (rise): -4 - (-1) = -4 + 1 = -3.

Calculate the difference in the x-coordinates (run): -2 - 0 = -2.

Divide the rise by the run to get the slope: -3 / -2 = 1.5.

Thus, the slope of the line passing through the points (0, -1) and (-2, -4) is 1.5.

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Final answer:

A circle graph is the optimal choice for the doctor to represent the patient age percentages.

Explanation:

The best graph for the doctor to represent the percentages of her patients across different age groups is a circle graph. Circle graphs, also known as pie charts, are specifically designed to showcase proportions or percentages of a whole, making them ideal in this scenario.

Answer:

11x+3

Step-by-step explanation:

Answer:D:$218,000

Step-by-step explanation:he owns 1300 monthly on the 30 year mortgage

So for a year he owes

1300*12= 15600 a year

Which will multiply by 30 years

15600*30= $468000 will be all he need to paid to cover is mortgage

To know the interest the needs to pay

Subtract the total amount from the real amount of the house

$468000-$250000= $218,000

Final answer:

Dave will have paid $218,000 in interest on his $250,000 home after making $1300 monthly payments for 30 years. The interest paid is determined by subtracting the original loan amount from the total amount paid over the mortgage term.So,option  D. $218,000 is correct.

Explanation:

The question asks, once Dave has paid off his mortgage, how much will he have paid in interest for a $250,000 home with a 30-year mortgage at $1300 a month. To solve this, first, we calculate the total amount paid over the 30 years, then subtract the principal to find the interest paid.

First, multiply the monthly mortgage payment by the number of months in 30 years: $1300 × (30 × 12) = $468,000.

Next, subtract the original home value (or the principal of the loan) from the total amount paid: $468,000 - $250,000 = $218,000.

Therefore, over the course of 30 years, Dave will have paid $218,000 in interest on his mortgage.