state the slope m, of the linear graph
​

Answer:3200 m²

Step-by-step explanation: length times width so 80*40

Answer: 3,200 meters

Step-by-step explanation:

Area of a rectangle = length times width

A=lw

A=80(40)

A=3,200 meters

An amount of $ 23,479.45 after a period of 5 years.

In this problem we find the case of an amount that increases itself by the effect of compound interest, that is, that the money deposited is increased accumulatively. The compound interest model is described below:

C' = C · (1 + r / 100)ⁿ

Where:

Please notice that four quarters equals a year.

If we know that C = 13,000, r = 3 and n = 20, then the final amount of the money deposited in the account after a period of 5 years is:

C' = 13,000 · (1 + 3 / 100)²⁰

C' = 23,479.45

The final amount of the money deposited is $ 23,479.45.

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1. The tax percentage will be 4.5%.

2. An item that cost $20 would have a tax of $9.

3. Ray Bans cost $852.00, the total cost after tax would be $1,223.

Define percentage.

A value or ratio stated as a fraction of 100 is known as a percentage in mathematics. Percent is derived from the Latin word per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percentage sign, "%," is frequently used to denote it. An amount that is a percentage is dimensionless and has no assigned measurement.

Solution Explained:

Given here,

The original cost of the Sunglasses = $10

Total cost = $10.45

Tax amount = 10.45 - 10 = $0.45

1. Tax % = [tex]\frac{0.45}{10} X 100[/tex] = 4.5%

2. Using the tax percentage from (1),

Tax for an item that costs $20 is

= [tex]\frac{45}{100} X 20[/tex] = $9

3. Ray Bans cost = $852

Tax = [tex]\frac{45}{100} X 852[/tex] = $371.25

Total after-tax = 852 + 371.25 = $1,223

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The equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a[tex]x^2[/tex]+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 ([tex]x^2[/tex]+4x)

Therefore the equation of the parabola is y = -1/3 ([tex]x^2[/tex]+4x).

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Answer:

First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.

Answer:

77.6 m

Step-by-step explanation:

Angle of Depression

If a person stands at a point and looks down at an object, the angle between their horizontal line of sight and the object is called the angle of depression.

To find how far the bridge is from the front of the boat, model as a right triangle and solve using the tan trigonometric ratio.

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given information:

As the teenagers' line of sight is 1.8 m above the bridge, the side of the right triangle opposite the angle of depression is:

Therefore:

[tex]\implies \sf \tan21^{\circ}=\dfrac{29.8}{A}[/tex]

[tex]\implies \sf A=\dfrac{29.8}{\tan21^{\circ}}[/tex]

[tex]\implies \sf A=77.6\;m\;\;(nearest\;tenth)[/tex]

Answer:

[tex]3x + 7y \geq 42[/tex]

Step-by-step explanation:

x = amount of naxvips sold

y = amount of corazs sold

We know that she will be charging 3 dollars per naxvips so we write 3x and we know that she will charging 7 dollars per corazs. Thus we add these 2 terms. She expects to make at least 42 dollars, this means will we use a greater or equal to inequality. We do this because she will make AT LEAST 42 dollars which means its possible for her to make GREATER than 42 dollars.

The balance of Accounts Payable at the end of March is $83,900.

According to question;

Balance in the beginning Accounts payable account =$77,300

Add: Purchases made during the month on account  = $43,500                                                                          

Less: Cash already paid on account payable balance =$36,900

Balance at the end of march in Accounts payable  = $83,900

Therefore, balance left at the end of march is $83900.

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To make a profit of 20% the article should be sold for $12.1

The new selling price will be solved by comparing the percentage increment with the old selling price

The selling price is $10.8 and the profit is 8%

The cost of the item is gotten from the profit percent as below

10.8 * 0.08 = 0.864 (profit)

cost price + profit = selling price

cost price = selling price - profit

cost price = 10.8 - 0.864

cost price = 9.936

comparing the percentages

8% profit is 0.864, 20% profit will be

8 = 0.864

20 = ?

cross multiplying

8 * ? = 20 * 0.864

? = 2.16

The new selling price

= cost price + profit

= 9.936 + 2.16

= 12.096 approximately $12.1

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It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

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The slope, y-intercept, and x-intercept of the graph of the linear function are 2, 4 and -2 respectively

The general equation of a straight line is:

y = mx + c,

where m is the slope of the line and c is the y-intercept

Given that: the linear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. This implies:

slope (m) = (-6)/(-3) = 2

And that the value of the function at 0 is 4. This implies:

y-intercept (c) = 4

Substitute m = 2 and c = 4 into the general equation:

y = mx + c

y = 2x + 4   (This is the linear function)

To plot the graph:

Using y = 2x + 4

find y when x = 0:

y = 2(0) + 4

y = 4

=> x = 0, y = 4

Also, find x when y = 0:

0 = 2x + 4

2x = -4

x = -4/2 = -2

=> x = -2, y = 0

Thus, graph x = 0, y = 4 and x = -2, y = 0 as shown in the image attached

Therefore, the slope, y-intercept, and x-intercept of the graph are 2, 4 and -2 respectively

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For given function when f(x) = -20 then x = 2

In this question, f(x) varies inversely with x

We have been given f(x) = -8 when x = 5

We need to find x when f(x) = -20

So, we get an equation,

-20/5 = -8/x

-4 = -8/x

x = (-8)/(-4)

x = 2

Therefore, for given function when f(x) = -20 then x = 2

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Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

The rectangle's characteristics are listed below:

Here, the length and width are different. So the bulletin board will be rectangle.

Given :

Length = 2.6 ; Width = 1.2

Area of rectangular bulletin board = Length * Width

= 2.6 * 1.2

= 3.12

Hence, the blue paper will she need to cover all area of the bulletin board is 3.12.

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The number of different possible selections for the lottery is of:

25,872,165.

First we decide which formula is used, as follows:

It is stated in this problem that the order of the numbers is not important, hence the combination formula is used.

The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 6 numbers are selected from a set of 54, hence the number of different combinations is of:

[tex]C_{54,6} = \frac{54!}{6!48!} = 25,872,165[/tex]

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The rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

In this question, we can observe that

D(-3, 5) -> D(5, -3)

E(-3, 3) -> E'(3, -3)

F(1, 2) -> F'(2, 1)

This means, the coordinate (x, y) of preimage is transformed to (y, x)

This is nothing but reflection of triangle DEF about the line x = y

Therefore, the rule for the transformation of ΔDEF to ΔD'E'F' is reflection about the line x = y

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Adrian pay $5.0 for all the fruits.

Given that grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

We want to find the total amount Adrian should pay for the fruits.

The given grapes cost is $2.35 per pound.

The given orange cost is $ 0.99 per pound.

The given apple cost is $1.65 per pound.

We will find the total cost of the fruits by adding all the amounts of the fruits.

So,

Total cost=Cost of grapes+ Cost of orange+ Cost of apple

Total cost=2.35+0.99+1.65

Total cost=4.99 or 5.0(approx)

Hence, the Adrian will pay $5.0 when the grapes cost $2. 35 per pound, orange cost $0. 99 per pound, and apple cost 1. 65 per pound.

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Answer:

DC = 38 ; CM = 19

Step-by-step explanation:

DC = 2/3 DM

DC = 2/3 * 57

DC = 2 * 19

DC = 38

CM = 57 - 38 = 19

Answer: $13.10

Step-by-step explanation: 4 small packages, 4*2.50 is $10. Add one large  package which is $3.10 and you'll have your answer, it costs $13.10.

Answer:

It will cost him $13.10 to send 4 small packages and 1 large package.

Step-by-step explanation:

1. Cost of sending 4 small packages = 4 * $2.5 = 4 * $2.50 = $10

2. Cost of sending 1 large package = 1 * 3.1 = $3.1

Total cost of sending 4 small and 1 large packages = $10 + $3.10 = $13.10

The expanded form of 966966 is 9x(100,000) + 6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1) which comprises operations on face values and place values.

What do we mean by expanded form?

The expanded form of a number is the representation of the number as summation of its digit multiplied by their respective place values.

For example, 783 in expanded form can be written as -

7x(100) + 8x(10) + 3x(1)

100, 10 and 1 are place values

7,8 and 3 are place values

According to the given data:

To write 966966 in expanded form

1. Write the number in standard form: 966,966

2. Multiply each digit with its place value.

9x(100,000)

6x(10,000)

6x(1,000)

9x(100)

6x(10)

6x(1)

3. Write the values in summation form to get the expanded form.

966,966 = 9x(100,000) +6x(10,000) + 6x(1,000) + 9x(100) + 6x(10) + 6x(1).

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The value of c = 4.28 cm and the value of d = 30.3 cm

Consider the big triangle

The hypotenuse of the triangle = 39 cm

The base of the triangle = 25 cm

The vertical side = 7c

According to Pythagorean theorem

The square of the hypotenuse is equal to the sum of the square of the base and the square of the vertical side

[tex]39^2=25^2+(7c)^2[/tex]

1521 = 625 + [tex]49c^2[/tex]

[tex]49c^2[/tex] = 1521 - 625

[tex]49c^2[/tex] = 896

[tex]c^2[/tex] = 896 / 49

[tex]c^2[/tex] = 128/7

c = 4.28 cm

Consider the small triangle

The vertical side = 4c

= 4 × 4.28

= 17.12 cm

[tex]d^2=25^2+17.12^2[/tex]

[tex]d^2[/tex] = 625 + 293.09

[tex]d^2[/tex] = 918.09

d = 30.3 cm

Hence, the value of c = 4.28 cm and the value of d = 30.3 cm

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Answer:

3000 dollars per year

Step-by-step explanation:

hope this helped :)

The number of adults surveyed until one who watches the Super Bowl is found.

Given information,

Let's say that 42% of adults in America are likely to watch the Super Bowl. Everybody is seen as independent. We are curious about how many adults in America we will have to poll before we discover one who will watch the Super Bowl.

Given that we are interested in the number of adults in America we must survey until we find one who will watch the Super Bowl.

Hence Random variable x is:

The number of adults surveyed until one who watches the Super Bowl is found.

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The engagement score in 4 months ago would be 7.69.

Future worth is the value of an asset in the future. It estimates the nominal amount of money that a certain quantity of money will be "worth" at a specified moment in the future under the assumption of a particular interest rate and is calculated by multiplying the present value by the accumulation function.

In four months, we must determine the future value of the engagement score.

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value = 4.89  

R = rate of increase = 12%

N = number of months = 4

4.89 ( 1.12)^4 = 7.69

Therefore the engagement score in 4 months ago would be 7.69.

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Answer:

Uhmmm You Didn't Say The Formula...

Answer:

37.5

Step-by-step explanation:

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Answer: it is B

Step-by-step explanation:

hope this helps!!

Answer:

$0.80

Step-by-step explanation:

Given:

To find the unit price in dollars per centimeter, divide the total amount by the number of centimeters:

[tex]\implies \dfrac{16.40}{20.5}=\dfrac{164}{205}=\dfrac{41 \times 4}{41 \times 5}=\dfrac{4}{5}=0.8[/tex]

Therefore, the unit price in dollars per centimeter is $0.80.