“Complete the long division problem on your own sheet of paper. Be sure to show all steps to show your teacher. Then enter the answer in the essay box.”
16 divided by 13 (Long division)


Please help ASAP.

Answer:

Total income earn = $422.5

Step-by-step explanation:

Given:

Earning per hour work = $10

Total hour = 40

Commission = 0.5% on sales

Total sales = $4,500

Find:

Total income earn

Computation:

Income from hour work = $10 x 40

Income from hour work = $400

Total commission = 0.5% x sales

Total commission = 0.5% x $4,500

Total commission = $22.5

Total income earn = $400 + $22.5

Total income earn = $422.5

The correct answer is E. increase, more people will use buses, and buses are greater producers of carbon emissions than cars.

An increase in the gas tax in the United States to the level of European countries would have implications for carbon emissions. If the gas tax is increased.

It would likely result in more people choosing alternative modes of transportation, such as buses, which are known to be greater producers of carbon emissions compared to cars. Therefore, the increase in the gas tax could lead to an unintended consequence of higher carbon emissions.

This highlights the complex relationship between taxes, transportation choices, and environmental impact, emphasizing the need for comprehensive policies that consider the broader implications of such changes.

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Answer:

the part of math sentence whose value is always the same, represented by a numeral. Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

The population of New York City in 2013, which is approximately 8,406,000 people, can be approximated as 8.4 million. This represents a single digit (8) multiplied by a power of 10 (million).

When we approximate the population of New York City as 8.4 million, we are expressing the number in scientific notation, where the single digit is 8 and the power of 10 is 6 (million).

In scientific notation, a number is written as a decimal coefficient multiplied by a power of 10. The coefficient is typically chosen to be a single digit, which in this case is 8. The power of 10 represents the number of zeros that follow the coefficient, and in this case, it is 6 because we have "million," which corresponds to 6 zeros.

By approximating the population as 8.4 million, we are representing it as a single digit (8) multiplied by a power of 10 (million), which fulfills the criteria of being a population approximated as a single digit times a power of 10.

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The complete question is:

The population of new york city in 2013 was about 8,406,000 people. which number best approximates the population as a single digit times a power of 10?

The region R in the first quadrant bounded by the ellipse \(4x2 + 9y2 = 1\) is a special type of ellipse.  \((x^2)/(a^2) + (y^2)/(b^2) = 1\), where a is the semi-major axis and b is the semi-minor axis. The region R in the first quadrant bounded by the ellipse\(4x2 + 9y2 = 1\) has an area of π/6.

In the given equation, the value of a is 1/2 and the value of b is 1/3. This ellipse is vertically aligned and centred at the origin. Since the region is confined to the first quadrant, it means that both x and y are greater than 0. Therefore, the limits of integration for x and y are 0 to a and 0 to b respectively.

The equation of the ellipse can be rewritten as \(y = ±(1/3)√[1 - 4x^2]\).

The top half of the ellipse is \(y = (1/3)√[1 - 4x^2]\) and

the bottom half is\(y = - (1/3)√[1 - 4x^2]\).

Thus, the integral is: \(∫∫ R 1 dA = ∫0^1 ∫0^(1/3) 1 dy dx,\) which is equal to the area of the ellipse. After integrating, we get the value as (1/2)π(a)(b),

which is equal to \((1/2)π(1/2)(1/3) = π/6.\)

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Answer:

37.5%

Step-by-step explanation:

divide 9 by 24 and you get .375 abd then move 2 decimal places to the left to get a percentage

Answer:

Step-by-step explanation:

I know this is probably wrong but

I think she spends 37.8% of her day at work. 100% is the maximum for percentages. 100/24=about 4.2

9x4.2=37.8

48yd² is the area of parallelogram as per given dimensions.

What is area ?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina

area of parallelogram =

AREA  =  b  *  h

=15  *  3.2

=48

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An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In the given exponential equation \(5^{x-2}=5^8\), It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

\(5^{x-2}=5^8\)

Since the base on both the sides are the same, comparing the exponential values on both sides,

x - 2 = 8

x = 8  + 2

x = 10

Hence, the value of x in the given exponential equation is 10.

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Answer:

No, it is NOT a function.

Step-by-step explanation:

A functions' inputs are assigned to exactly one output.

We are given the points:

{(8,2) (4,-3) (6,4) (8,1)}

The input of 8 is repeating.

The given relation is not a function.  

Hope this helps!

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

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Answer:

AB and CD are parallel

Step-by-step explanation:

let's see what slope the line CD has:

as we see AB and CD have same slope, therefore they are parallel

Answer:

x=1

Step-by-step explanation:

2(5x + 8) = 6x + 20

Divide each side by 2

2/2(5x + 8) = 6x/2 + 20/2

5x+8 = 3x+10

Subtract 3x from each side

5x-3x +8 = 3x-3x+10

2x+8 = 10

Subtract 8 from each side

2x+8-8=10-8

2x=2

Divide by 2

2x/2 = 2/2

x=1

The type of hypothesis that predicts that any difference between groups is due to chance (therefore, there is no meaningful difference between groups) is called the null hypothesis.

The null hypothesis (H0) predicts that there is no difference between groups, and any differences between groups are caused by chance. The null hypothesis is frequently utilized in statistical analysis. It contrasts with the alternative hypothesis (H1), which predicts that there is a meaningful difference between groups. In a statistical analysis, the null hypothesis is examined to see if there is enough proof to reject it and accept the alternative hypothesis. If the null hypothesis cannot be rejected, it is considered to be the default hypothesis.

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Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.

A point's location on a line or in space can be determined using a set of numbers called coordinates. An x-coordinate and a como, which denote the horizontal as well as vertical ranges from a bench mark known as the origin, are the two numbers that make up coordinates in two-dimensional space. Three numbers, the x, y, and z coordinates, which describe the distances from origin in the x, y, and g directions, respectively, might make up coordinates in three-dimensional space. Among other disciplines, coordinates are frequently employed in physics, arithmetic, and geometry.

given

The midpoint of the line segment from R to Q, which is the precise halfway point between R and Q, must be located in order to determine the coordinates of point P.

We can separately aver the x- and y-coordinates to get the middle.

The midpoint's x-coordinate is (4 + 8)/2, which equals 6.

(0 + 6)/2 = 3 is the midpoint's y-coordinate.

Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.

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Answer:

(-3.5 , 2.3)

Step-by-step explanation:

I know

Answer:

7

Step-by-step explanation:

\(x^2 + bx + 10 = (x-3)^2 + c\\x^2 + bx + 10 = (x-3)(x-3)+c\\x^2 + bx + 10 = x^2 - 6x + 9+c\\\)

if two equations are equivalent, that means that each coefficient is the same

meaning that.

\(bx = 6x\\and\\10 = 9 + c\\so\\b = 6\\and\\c = 1\)

Note that 10 is the coefficient of \(x^0\)

so, b + c = 6 + 1 = 7

Answer:

3(4n) + 2 + 6n

12n + 2 + 6n

12n + 6n + 2

18n + 2 is not equal to 13n + 2

hence both the expression are not equivalent

Interest is calculated monthly here

Interest:-

Step-by-step explanation:

Interest can be calculated by formula,

» I = Prt

where,

Given:

To find:

Solution:

Time in yrs so :- 40/365 = 8/73

Rate :- 10/100

Calculating Interest

» I = 470* 8/73* 10/100

» I = 47* 8/73

» I = 5.15

Answer:

18 months

Step-by-step explanation:

12 + 6 months

The term in the expression that represents Lan's typical average speed is:

d - 20.

Let's assume that Lan's typical speed is denoted by s. Then, her speed in the construction zone would be one-third of s, or s/3.

To find Lan's total travel time for the day, we need to add the time it takes for her to travel 20 miles in the construction zone to the time it takes for her to travel the remaining distance at her typical speed. We can represent this as:

Total travel time = time in construction zone + time at typical speed

The time it takes for Lan to travel 20 miles in the construction zone can be calculated using the formula:

time = distance / speed

So, the time in construction zone would be:

time in construction zone = 20 / (s/3) = 60/s

The time it takes for Lan to travel the remaining distance at her typical speed would be:

time at typical speed = (total distance - 20) / s = (d - 20) / s

Substituting these values into the expression for total travel time, we get:

Total travel time = 60/s + (d - 20) / s

To find the term in the expression that represents his typical average speed, we need to look for the variable that is being divided by s. This is the term: d - 20

So, Lan's typical average speed is: s = (d - 20) / time at typical speed.

Thus, the term in the expression that represents Lan's typical average speed is: d - 20.

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Answer:

Yes Lana will reach her goal she'll have 10,414.58 by the end of the 6 years,

Step-by-step explanation:

Answer:

Here,L=20m , a=109sq.m

let,breadth be x

we have a=l×b

or,100=20×x

or,100/20=x

or,5=x

hence,the breadth of the hall is 5m.answer

Answer:

5m²

Step-by-step explanation:

To find the breadth of a rectangle (the hallwa) simply Divide the area by the length

So . .

100m² ÷ 20 = 5m²

Answer:

675

Step-by-step explanation:

8%=$50

Answer:

$675

Step-by-step explanation:

Since tax is an added 8% you are in sense paying for 100% of the DVD and 8% for tax, or 108% of the DVD player. Now convert percent to decimals by dividing by 100 to get 1.08. Now you can multiply 1.08 x $625 and get $675

Answer:

CI = (-0.0445, 0.0225)

there is no sufficient evidence to men and women have equal success in challenging calls

Step-by-step explanation:

Sample size for men; n1 = 1425

Number of success for men; x1 = 412

Sample size for women; n2 = 739

Number of success for women; x2 = 221

Significance level; α = 0.05

Sample proportion for men;

p1 = x1/n1 = 412/1425

p1 = 0.2891

Sample proportion for women;

p2 = x2/n2 = 221/739

p2 = 0.2991

From tables, z-score at significance level of 0.05 is 1.96.

Formula for margin of error is;

E = z√[(p1(1 - p1)/n1) + (p2(1 - p2)/n2)]

Plugging in the relevant values;

E = 1.96√[(0.2891(1 - 0.2891)/1425) + (0.2991(1 - 0.2991)/1425)]

E = 1.96 × 0.0170687

E = 0.0335

Coordinates of the confidence interval will be;

[(p1 - p2) - E], [(p1 - p2) + E]

[(0.2881 - 0.2991) - 0.0335], [(0.2881 - 0.2991) + 0.0335]

CI = (-0.0445, 0.0225)

This means that the confidence interval contains 0 since it's between (-0.0445 and 0.0225). Thus we can conclude that there is no sufficient evidence to men and women have equal success in challenging calls

Answer:

Step-by-step explanation:

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

8a+3b-10+c²= 8*2+3*5-10+4²= 16+15-10+16= 37

Answer is 37

The profit the company made from the sales of wheelbarrows last month was $2,266.96. The correct option is D.

Given: Dernea Gardening sells wheel barrows. A wheelbarrow costs $6. 94 to produce and it sells for $42. 50.The company employs two salespeople, each of whom earns a different commission per wheelbarrow sold as shown in the table below.  A 3-column table with 2 rows. Column 1 is labeled Salesperson with entries Travis, Gary. Column 2 is labeled Sold with entries 36, 48. Column 3 is labeled Commission/Sale with entries 7 dollars and 50 cents, 10 dollars and 60 cents. The company's expenses last month, not counting production costs or commissions, totaled $524. 24. We have to determine the profit the company has made from the sales of wheelbarrows last month. Profit can be calculated as follows; Profit = Total revenue - Total expenses. We are given that a wheelbarrow costs $6.94 to produce, and it sells for $42.50. The profit from one wheelbarrow can be calculated as: Profit per wheelbarrow = Selling price - Cost price= $42.50 - $6.94 = $35.56. Now, we calculate the total revenue by multiplying the number of wheelbarrows sold by the selling price. The total revenue can be calculated as: Total revenue = (36 + 48) × $42.50= 84 × $42.50= $3,570.

To find the total commission paid to the salespeople, we use the commission per sale and the number of wheelbarrows sold. The total commission can be calculated as follows: Total commission = Travis's commission + Gary's commission= (36 × $7.50) + (48 × $10.60)= $270 + $508.80= $778.80. To calculate the total expenses, we are given that the expenses not counting production costs or commissions were $524.24. Therefore, the profit can be calculated as: Profit = Total revenue - Total expenses= $3,570 - ($524.24 + $778.80)= $3,570 - $1,303.04= $2,266.96. Hence, the option (d) is correct. The profit the company made from the sales of wheelbarrows last month was $2,266.96.

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Answer: m=-4

Step-by-step explanation: Plug -4 in for m

Answer:

m- 4=2m

m -2m=4

- m=4

m= -4

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