a is directly proportional to square of c.
w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.

The require answers are,

Part a: The equation for the total cost of the calendars is C = 125 + 3.25*100 = 350

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed is A = 125 + 3.25x

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar is 70.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

Cost of the digital images and the permission = $125

“one time” charges = $3.25

Part a: The equation for the total cost of the calendars

THere are 100 calendars printed.

So, “one time” charge = 3.25*100

So, the total cost of the calendars C is given as,

C = 125 + 3.25*100

C = 125 + 325 = 450

Thus, the equation for the total cost of the calendars is given as,

C = 125 + 3.25*100 = 450

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed

Let there are x calendars printed

Total “one time” charges = 3.25x

So, Average cost is given as,

A = 125 + 3.25x

this is the model that gives the average cost A per calendar

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar

Now from the graph it must be seen that the average cost drops to $ 5 per calender at 70.

Thus, number of calendars that must be sold before the average cost drops to $5 per calendar = 70

Thus, the require answers are,

Part a: The equation for the total cost of the calendars is C = 125 + 3.25*100 = 350

Part b: The model that gives the average cost A per calendar as a function of the number of calendars printed is A = 125 + 3.25x

Part c: The estimate number of calendars that must be sold before the average cost drops to $5 per calendar is 70.

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The equation of the circle (x + 2)^2 + (y + 4)^2 = 50 has a radius of 5√2 and a center located at (-2 , -4).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 2)^2 + (y + 4)^2 = 50, is in standard form, then

h = -2

k = -4

r = 5√2

Hence, the equation of the circle (x + 2)^2 + (y + 4)^2 = 50 has a radius of 5√2 and a center located at (-2 , -4).

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a. The probability that a first number is 4 is 1/10

b. The probability that the second number is less than 8/10.

c. The probability that there will not be any zero's is 81/100

Given, a number generator produces two digits in a box, each of it is generated randomly from 0 to 9.

a. The probability that the first number is 4 = ?

probability of an event = favourable number of outcomes/ Total number of outcomes.

Total number of outcomes = 10

P(n) = 1/10

b. The probability that the second number is less than 8 = ?

probability of an event = favourable number of outcomes/ Total number of outcomes.

Total number of outcomes = 10

P(n) = 8/10

c. The probability that there are no zero's = ?

since there are two boxes, there is possibility of getting two zero's.

probability of an event = favourable number of outcomes/ Total number of outcomes.

9/10 × 9/10

= 81/100

Hence we get the required results.

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Answer:

A. $93.28

Step-by-step explanation:

The reason why is because 110 - 20% would leave you only paying 88 dollars. but when you add the 6% sales tax you get $93.28

The quotient of 8 ÷ 0.5 is 16. This is done by finding out how many 0.5 are in 8.

A quotient refers to the number resulting from the division of one number by another. For instance, the quotient of 12 ÷ 3 is 4

A dividend is a number or expression that is to be divided by another. The dividend is 12

A divisor is a number or expression that another is to be divided by. The divisor is 3

Find the quotient: 8 ÷ 0.5

= 8 / 0.5

= 16

A problem as 24 items, each divided into 2 equal pieces.

The quotient is 12

So therefore, if there are 24 items, each divided into 2 equal pieces, the quotient is 12

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Answer:  

1. Answer: You can find the quotient by asking how many Halves are in 8.

2. Answer: Think of the problem as 8 items, each divided into 2 equal pieces.

3. Answer: The quotient is 16.

( Answer on Edge. Sorry for answering late. Please mark me as brainliest.)

Answer:

1353.4 x 10^3

Step-by-step explanation:

(7.2 x 107) + (5.5 x 106) = 770.4 + 583 = 1353.4

Scientific Notation: 1353.4 = 1353.4 x 10^3

Answer: 1.3534x10^3

Step-by-step explanation:

(7.2 x 107) + (5.5 x 106) =6767/5 = 1353.4 =  1.3534x10^3

The Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

Given,

The situation, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky.

The line formed by the bride and the river that do not intersect and are not coplanar

So, those are skew lines

Hence, the Roebling Suspension Bridge extends over the Ohio River connecting Cincinnati, Ohio, to Covington, Kentucky,  the lines formed buy the bridge and the river is skew lines

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the plants height would be 69cm

Answer: 0.75

Step-by-step explanation:

The mean number of heads is 8.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. The probability of observing x successes in N trials is calculated using the binomial distribution, with p standing for the probability of success on a single trial. According to the binomial distribution, p is fixed throughout all trials.

The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution. In mathematics and statistics, the binomial distribution is the likelihood that a specific outcome in a series will occur when there are only two possible outcomes: success or failure. Bi is the prefix for two.

Use the formula for the mean for the Binomial Distribution: μ = np

• n = 16

• p = ½

Therefore μ = 16 × ½ = 8

The mean number of heads is 8.

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Answer: 4 feet

Step-by-step explanation:

[tex]Let\ width=x > 0\\Hence,\\(8+2x)(7+2x)=240\\(8)(7)+(2x)(7)+(8)(2x)+(2x)(2x)=240\\56+14x+16x+4x^2=240\\4x^2+30x+56=240\\4x^2+30x+56-240=240-240\\4x^2+30x-184=0\\[/tex]

Divide both parts of the equation by 4 :

[tex]x^2+7.5x-46=0\\x^2+11.5x-(4)(x)-(4)(11.5)=0\\(x)(x+11.5)-(4)(x+11.5)=0\\(x+11.5)(x-4)=0\\x+11.5=0\\x=-11.5\ feet\notin, \ hence\ x > 0\\x-4=0\\x=4\ feet\in,\ hence\ x > 0[/tex]

Answer:

21

Step-by-step explanation:

Answer:

The answer is -20

Step-by-step explanation:

This prblem calls for substitution. In this case, if a = 3 and b = -4, then

(3)²(-4) - (-4)²

Now we can solve using order of operations.

(9)(-4) + 16 << (two negatives make a positive)

-36 + 16

= -20

Hope this helps!

Answer:

400,000,000 or [tex]4*10^{8}m[/tex]

Step-by-step explanation:

Put them both into standard form.

[tex]0.0001=1*10^{-4} and 4 trillion is 4*10^{2}[/tex]

Multiply them together.

[tex](1*10^{-4})*(4*10^{12}=4*10^{8}[/tex]

Answer:

See attached image.

Step-by-step explanation:

Substitute 1,2,3, or 4 for [tex]x[/tex]. Then calculate using the order described by PEMDAS.

Ben joins a reading group. Each order costs him $12 for the book and $5 for postage and handling. A. Identify the variables that change and the variables that don't change in this issue. Identify the dependent and independent components of each quantity.

I can say that the price of the books is independent and the shipping and handling charges is dependent.

Given that Ben joins a book club.

Ben pays $12 for each book and $5 for shipping and handling charges for each order.

Shipping and handling quantities remain the same.

The amount he pays for each book quantities change every time so it is not constant.

Therefore, We can say that the price of the books is independent and the shipping and handling charges is dependent.

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The coordinates of D' are D' = (-2, -4)

The given paramaters are

D = (2, 4)

The rule is given as

180 degrees about the origin.

This is represented as

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

So, we have

D' = (-2, -4)

Hence, the coordinates of D' are D' = (-2, -4)

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Considering the definition of an inequality, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "d" the number of days Sebastian can afford to rent while staying within his budget, the inequality that expresses the previous relationship is

40.50×d - 400×0.12 ≤ 210

Solving:

40.50×d - 48 ≤ 210

40.50×d ≤ 210 + 48

40.50×d ≤ 258

d ≤ 258÷ 40.50

d ≤ 6.37

Finally, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.

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The value for  x = -2,0,1 , and 4 will be -9, -8, -15/2 and -6 respectively.

For x = -2

The value will be -

(1/2)x-8

(1/2)(-2) - 8

= -9

For x = 0

The value will be -

(1/2)x - 8

(1/2)(0) - 8

= -8

For x = 1

The value will be -

1/2(1) - 8

= -15/2

For x = 4

The value will be -

1/2(4) - 8

= -6

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Negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity will be C. negative two ninths

Based on the information given, the expression will be:

= 1/6 ×( 3 - 15 ) × (1/3)²

= -1/6 × -12 × 1/9

= -2 × 1/9

= -2/9

In conclusion, the correct option is D.

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Answer:

B because there is no correlation

Step-by-step explanation:

hope this works :)

Answer:

Between -3 and -2, but closer to -2

Step-by-step explanation:

The square root of 45 is approximately 6.708.

Subtract 9 from that and you get -2.292.

-2.292 is between -3 and -2, but is closer to -2.

Answer:

[tex]f^{-1}(x)=\dfrac{x}{\boxed{5}}+\boxed{3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=5x-15[/tex]

An inverse function is a reflection of the function in the line y = x.

To find the inverse of the given function, replace f(x) with y to get an equation for y in terms of x:

[tex]\implies y=5x-15[/tex]

Rearrange the equation to make x the subject:

[tex]\implies y+15=5x-15+15[/tex]

[tex]\implies y+15=5x[/tex]

[tex]\implies 5x=y+15[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{y}{5}+\dfrac{15}{5}[/tex]

[tex]\implies x=\dfrac{y}{5}+3[/tex]

Replace x with f⁻¹(x) and y with x. This is the inverse function:

[tex]\implies f^{-1}(x)=\dfrac{x}{5}+3[/tex]

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Answer: c=5

Step-by-step explanation:

5(c-3)=10

5c-15=10

5c=10+15

5c=25

c=5

Answer:

5(c-3)=10

(c-3) =10-5

(c-3)=5

c=5+3

c=8

At present, the age of the woman is 29 years, while the age of her daughter is 6 years.

In the question, we are given two characters, a woman and her daughter, and told to find their present age. We are also given some clues as to how we will arrive at the answer. Let's consider the first one.

In the first sentence, we are told that 5 years ago, the woman was 4 times as old as her daughter. We don't know the woman's age or her daughter's, so let's call the woman's present age x and her daughter's present age y for now. To know the age of the woman 5 years ago, we will subtract 5 from her current age, which will give us x - 5. Also, the woman was 4 times as old as her daughter 5 years ago, hence:

                                    x - 5 = 4y

If we rearrange that;      x = 4y + 5 (let's call this equation 1)

Now, on to the second clue.

In the second sentence, we are told that in four years time, the woman will be two and a half times as old as her daughter. The woman's age in 4 years time is x + 4, hence:

                                 x + 4 = 2[tex]\frac{1}{2}[/tex]y

                                 x + 4 = 5y/2

                                 2x + 8 = 5y (let's call this equation 2)

Next, we will find the value of y (the daughter's present age) by substituting equation 1 into equation 2, that is, putting '4y + 5' in place of x in equation 2, thus:

                            2(4y + 5) + 8 = 5y

                            8y + 10 + 8 = 5y

                            8y - 5y = 18

                             3y = 18

                              y = 6

Therefore, at present, the daughter is 6 years old. To find the mother's age, we will substitute the daughter's age in place of y in equation 1:

                        x = 4y + 5

                        x = 4(6) + 5 = 29

Hence, the woman is 29 years old, and her daughter is 6 years old.

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Answer:

Step-by-step explanation:

FACTOR [tex]x^{2} y^{2}[/tex]

[tex]x^{2} y^{2} ( 5 -1 )= 4 x^{2} y^{2}[/tex]

The simplest possible explanation

The coordinates of Z are (2,7).

What is coordinates in math?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The formula to calculate the midpoint between two points is equal to

[tex]Y = ( \frac{(x_{1} + x_{2}) }{2} , (\frac{y_{1} + y{2} }{2} )[/tex]

we have

X(-10,9),Y(-4,8)

Let

(x2,y2) ----> the coordinates of Z

substitute the values

( -4.8) = ( -10 + x₂ /2 , 9 + y₂/2)

Solve for x2

-4 = ( -10 + x₂/2

-8 = -10 + x₂

x₂ = -8 + 10

x₂ = 2

Solve for y2

8 = (9 + y₂)/2

16 = 9 + y₂

y₂ = 16 - 9

y₂ = 7

therefore, The coordinates of Z are (2,7)

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It would be 0.00000001024 in standard form

y = x - 4 is an equation of the line in slope-intercept form passing through points (4 , 0) and (-3 , -7)

An equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept.

Given two points passed through by the line, you can use them to write the equation of the line in slope-intercept form.

1. Find the slope of the line using the two given points.

let Point 1(4 , 0) and Point 2(-3 , -7)

slope = m = (y2 - y1) / (x2 -x1)

m = (-7 - 0) / (-3 - 4)

m = -7/-7

m = 1

2. Use the value of the slope and one of the points to find the value of the y-intercept, b. Plug in these values in the formula for slope-intercept form.

y = mx+ b

y = 1x + b

Using Point 1,

0 = 1(4) + b

b = -4

3. Write the equation of the line in slope-intercept form.

y = mx+ b

where m = 1 and b = -4

y = x - 4

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Answer - 9,369 divided 53 = 176.773584906