Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The coefficient of xy in the product of (4x2 + 2y) and (3x + y2) is _______ .

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:25/112

Step-by-step explanation:multiply 5/8 times 5/14.

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:

IV/4

Step-by-step explanation:

Go to 15 on the x line and go down 12 and that’s the 4

Answer:

The slope of given relationship is 7 and it is not - 3  

Step-by-step explanation:

Given as :

The distance cover while walking = d = 21 miles

The speed rate of walking = s = 3 miles per hour

Let The time taken to cover 21 miles = t hours

Now, According to question

∵ Distance = Speed × Time

So, Time = [tex]\dfrac{\textrm Distance}{\textrm Speed}[/tex]

Or, t = [tex]\dfrac{d}{s}[/tex]

Or, t = [tex]\dfrac{\textrm 21 miles}{\textrm 3 miles per hour}[/tex]

∴  t = 7 hours

So,  The time taken to cover 21 miles = t = 7 hours

i.e slope of the given relationship = 7

Hence, The slope of given relationship is 7 and it is not - 3  . Answer

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:1690

Explanation:

0.11x150=16.50

16.50x31=511.50

0.38x3100=1178.0(this is all we do for the downloads since it says 'downloaded a total of 3100 times')

1178+511.5=1689.5 then u round it up because of the 9 and you get 1690

Im kinda bad at explaining but hope this helps

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

Mario sold 2/5 of his juice in the second hour after having sold 3/15 in the first hour and ending with 6/15 of the juice left.

Mario started with 30 bottles of juice and sold 3/15 of them in the first hour. To find out how many bottles that is, we multiply the total number of bottles by the fraction sold: 30 bottles x 3/15 = 6 bottles. After the first hour, Mario had 30 bottles - 6 bottles = 24 bottles left.

By the end of his shift, Mario had 6/15 of his original juice left. Again, we multiply the total number of bottles by the fraction left: 30 bottles x 6/15 = 12 bottles. So, at the end of his shift, Mario had 12 bottles unsold.

To find out how many bottles were sold in the second hour, we subtract the number left at the end from the number left after the first hour: 24 bottles - 12 bottles = 12 bottles sold in the second hour. To express this amount as a fraction of the original 30 bottles, we divide 12 by 30 to get 12/30, which simplifies to 2/5. Thus, Mario sold 2/5 of his juice in the second hour.

Answer: x < 30

Step-by-step explanation:

Let the cost of a jean be x

cost of a shirt = $25

cost of 3 jeans = 3x

since he wants to spend less than $115 , this means that

3x + 25 < 115

3x < 115 - 25

3x < 90

x < 30

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:

Answer:

#2

Step-by-step explanation:

N/A

Bartering was an early way that people exchanged a good or service directly for a good or service. (option 2)

Bartering, the act of exchanging goods or services directly for other goods or services, was an early way that people engaged in trade and commerce.

Before the advent of standardized currency in the form of paper or metal, societies relied on bartering as a means of acquiring what they needed.

In a barter system, individuals would negotiate the exchange of items they possessed, often based on their mutual needs and values.

Hence the correct option is (2).

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Answer:

time = distance / speed

time = 200/10

= 20

Step-by-step explanation:

The time taken to travel a distance of 200 Km will be 5.5 hours.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that the speed is 10 m/s and the distance to be travelled is 200 km.

The time will be calculated as below,

T = Distance / Speed

T = 200000/ 10

T = 200000/10 x 3600

T = 5.5 hours

Therefore, the time taken to travel a distance of 200 Km will be 5.5 hours.

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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 :)

To evaluate the expression 4c - x with c=5 and x=-4, substitute the values to get 4*5 - (-4), which simplifies to 20 + 4, resulting in a value of 24.

To evaluate the expression 4c-x when c=5 and x=-4, substitute the given values for the variables c and x into the expression.

Step 1: Substitute c = 5 into the expression.

4 × 5 - x

Step 2: Substitute x = -4 into the expression.

4 × 5 - (-4)

Step 3: Carry out the multiplications and additions.

20 - (-4) = 20 + 4

Step 4: Add the numbers.

20 + 4 = 24

Therefore, when c = 5 and x = -4, the value of the expression 4c - x is 24.

The value of the expression 4c-x when c=5 and x=-4 is 24.

To evaluate the expression (4c - x) when (c = 5) and (x = -4), follow these steps:

1. Substitute (c = 5) into the expression: [tex]\(4 \times 5 - x\)[/tex]

2. Substitute (x = -4) into the expression: [tex]\(4 \times 5 - (-4)\)[/tex]

3. Simplify the multiplication: (20 - (-4))

4. Simplify further by changing the double negative to addition: (20 + 4).

5. Add the numbers: (20 + 4 = 24).

Therefore, when (c = 5) and (x = -4), the value of the expression (4c - x) is (24). The process involves substituting values, simplifying, and performing addition to obtain the final result.

Answer:

the right answer is option A. 40°

Step-by-step explanation:

angle BAC= angle BAD - angle CAD

= 120° - 80°

= 40°

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:

[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:

900 × 2 ?

Step-by-step explanation:

900 × 2 ? i dont know but i hope its correct?

Answer:

It is irrational

Step-by-step explanation:

if you combine a rational and irrational number it cannot be rational.

Adding a rational and an irrational number always results in an irrational number. The rational number doesn't affect the irrationality of the irrational number.

The result of adding a rational and an irrational number is always an irrational number. For example, if you add the rational number 2 (which can be expressed as a ratio of two integers) and the irrational number sqrt(2) (which cannot be expressed as a ratio of two integers).

The result is 2 + sqrt(2), which is an irrational number.

Because the rational number doesn't affect the irrationality of the irrational number, the sum remains irrational.

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Answer:

Please check below the step-by-step explanation.

Step-by-step explanation:

Considering the quadratic expression

[tex]ax^2+bx\:+\:c\:=0[/tex]

[tex]a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.[/tex]

[tex]To\:Factorise\:a\:Quadratic\:is\:to:[/tex]

" [tex]find\:what\:to\:multiply\:to\:get\:the\:Quadratic[/tex] "

For example, multiplying [tex](x + 3)[/tex] and [tex](x - 2)[/tex] together will bring [tex]x^2+x-6[/tex]

i.e.

[tex]\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]+\left(-a\right)=-a[/tex]

[tex]\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2[/tex]

                       [tex]= x^2+x-6[/tex]

Therefore,  [tex](x + 3)[/tex] and [tex](x - 2)[/tex] are factors of [tex]x^2+x-6[/tex]

Keywords: factorize, quadratic expression

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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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Answer:

$768.54 (Approximate)

Step-by-step explanation:

Trey is taking out a loan for $85000. It is a 20-year loan with an APR of 5.85%.

Therefore, if we consider the interest rate is simple interest, then using the simple interest formula, the sum will become after 20 years

[tex]85000(1 + \frac{5.85 \times 20}{100}) = 184450[/tex] dollars.

Therefore, the monthly payment for the loan will be [tex]\frac{184450}{20 \times 12} = 768.54[/tex] dollars. (Answer)

Answer:

Caroline

Step-by-step explanation:

Anna : 123 words in 3 minutes ....123/3 = 41 words per minute

Caroline : 220 words in 5 minutes...220/5 = 44 words per minute

Caroline is the faster typist <===

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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The solution is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]

Step-by-step explanation:

The expression is [tex]x^{2} +y^{2} -x+3y-42=0[/tex] and [tex]x+y=4[/tex]

Using substitution method we can solve the expression.

Let us substitute [tex]x=4-y[/tex] in [tex]x^{2} +y^{2} -x+3y-42=0[/tex]

[tex](4-y)^{2} +y^{2} -(4-y)+3y-42=0[/tex]

Expanding and simplifying the expression, we get,

[tex]\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}[/tex]

Let us use the quadratic equation formula to solve this equation,

[tex]\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}[/tex]

Thus, [tex]y=5[/tex] and [tex]y=-3[/tex]

Substituting y-values in the equation [tex]x+y=4[/tex], we get the value of x.

For [tex]y=5[/tex] ⇒ [tex]x=4-5=-1[/tex]

For [tex]y=-3[/tex] ⇒ [tex]x=4+3=7[/tex]

Thus, the solution set is [tex](-1,5)[/tex] and [tex](7,-3)[/tex]

Answer:

I think the answer is the second choice so B. Also your pretty

Answer:

its d ac/gi=bc/hi

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

N = V16 = 4

P=19

so N + P