i need help please and thanks

The three points lie on the line that best represents the total cost of {y} of x pens are:  (0,0), (4, 3) and (8, 6).

We have the information from the question:

James buys 4 pens for $3.

To find the three points lie on the line that best represents the total cost of {y} of x pens.

Now, According to the question:

'x' represent the number of pens

'y' represent the total cost

When x = 0 , y = 0 and when x = 4 , y = 3

Assume, y = mx + c

∴ \(y = \frac{3}{4}x + c\)

when x = 0 , y = 0 Plug the values of x and y in above equation.

=> \(0=\frac{3}{4}.0+c\)

Put c = 0, we get:

\(y = \frac{3}{4}x\)

Now, From the graph :

The three points lie on the line that best represents the total cost of {y} of x pens are:

When x = 8, \(y = \frac{3}{4}.8=6\)

∴ It passes (0,0), (4, 3) and (8, 6).

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Speed in km/h=111.6km/h

\(\boxed{\sf 1km/h=\dfrac{5}{18}m/s}\)

\(\\ \rm{:}\twoheadrightarrow 111.6km/h\)

\(\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}\)

\(\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}\)

\(\\ \rm{:}\twoheadrightarrow 31m/s\)

Answer:

Step-by-step explanation:

We know that:

Convert:

1,2,3,4,5,6-hexamethylcyclohexane is a six-membered ring molecule with six methyl groups attached to it. The arrangement of the methyl groups can be either axial or equatorial.

In an axial arrangement, the methyl groups are positioned along the axis of the ring and point up or down. An equatorial arrangement, on the other hand, has the methyl groups positioned on the equator of the ring, in a more coplanar arrangement. It is easier to distinguish between the two arrangements by visualizing the molecule in a chair conformation. In a chair conformation, the ring is twisted and two of the substituents are in axial positions and two are in equatorial positions. If all of the methyl groups in the molecule are in axial positions, they would point up or down in the chair conformation. If all of the methyl groups are in equatorial positions, they would be coplanar with the ring plane in the chair conformation.

In conclusion, the drawing of 1,2,3,4,5,6-hexamethylcyclohexane with all the methyl groups in axial positions shows the methyl groups pointing up or down in a chair conformation. The drawing with all the methyl groups in equatorial positions shows them to be coplanar with the ring plane in a chair conformation.

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The value of c2-4mk is 76 and the position of mass after t seconds is x(t) = (1/√21)[(√21-5)e^(αt) + (5+√21)e^(βt)].

The value of c2-4mk can be calculated as follows:
c2-4mk = (damping constant)^2 - 4*(mass)*(spring constant)
c2-4mk = 10^2 - 4*(2 kg)*(2 N/m)
c2-4mk = 76

To find the position of the mass after t seconds, we first need to find the values of α and β. We can do this using the following equation:
mα^2 + cα + k = 0
mβ^2 + cβ + k = 0

Substituting the given values, we get:
2α^2 + 10α + 2 = 0
2β^2 + 10β + 2 = 0

Solving these equations, we get:
α = -5 + √21
β = -5 - √21

Therefore, the position of the mass after t seconds is given by:
x(t) = c1e^(αt) + c2e^(βt)

To find the values of c1 and c2, we use the initial conditions:
x(0) = 1 m (the spring is stretched 1 meter beyond its natural length)
x'(0) = 0 m/s (the mass is released with zero velocity)

Using these initial conditions, we get:
c1 + c2 = 1
αc1 + βc2 = 0

Solving these equations, we get:
c1 = (β-1)/2√21
c2 = (1-α)/2√21

Therefore, the position of the mass after t seconds is:
x(t) = [(β-1)/2√21]e^(αt) + [(1-α)/2√21]e^(βt)

Simplifying this expression, we get:
x(t) = (1/√21)[(√21-5)e^(αt) + (5+√21)e^(βt)]

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The portion of the field that is outside of the circular area is 9,398.4 yd².

The radius of the circle is calculated as follows;

circumference of the circle = 16π yards

circumference = 2πr

where;

2πr = 16π

r = 8 yards

The area of the circular portion is calculated as follows;

A = πr²

A = π x (8 yd)²

A = 201.6 yd²

The total area of the field is calculated as follows;

A = 120 yds  x  80 yds

A = 9,600 yd²

The portion of the field that is outside of the circular area is calculated as follows;

= 9,600 yd² - 201.6 yd²

= 9,398.4 yd²

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Answer:

The number is 4/9

Step-by-step explanation:

3(6*(4/9))=3*(2+(2/3))=8

The measure of the angle Y from the given diagram is 102.5 degrees

In order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".

Given the following

angle at the arc= 205 degrees

required

angle at the vertex Y

According to the theorem;

<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees

Hence the measure of the angle Y from the given diagram is 102.5 degrees

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Answer:

m=1

Step-by-step explanation:

step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses

step 2: 8 m + 2 = 3 12 - 4m move the terms

step 3: 8m+ 12m= 36 - 16 collect like terms and calulate

step 4: 20m=20 divide both sides

solution: m=1

Answer:

m = 1

Step-by-step explanation:

To solve for m, we will have to get m by itself on one side, with some value on the other side.

8(m + 2) = 3(12 - 4m)

Distribute the 8 on the left side and the 3 on the right side.

8m + 16 = 36 - 12m

Add 12m to both sides.

20m + 16 = 36

Subtract 16 from both sides.

20m = 20

Divide both sides by 20.

m = 1

So now we have the answer m = 1.

I hope you find my answer helpful.

I think C would be for number 11

A is for 12.

x/2 < - 18

Answer:

She Flipped the symbol

Step-by-step explanation:

Please don't cry. I will explain it to you. Just please don't cry.

She multiplied correctly. But in her end result, she flipped the symbol.

You only flip symbols when multiplying or dividing by a negative number.

I hope this helps! Please don't cry :)

:)

ggggggggggggrssdfffffffffffffffffffffffffffffffffrsssssssssshggh

Step-by-step explanation:

Given

perpendicular (p) = a

hypotenuse (h) = 3√2

sin 45 ° = p/h

1 /√2 = a / 3√2

Cross multiply

3√2 = a √2

a = 3√2 / √2

Therefore a = 3.

Answer:

So what you want to do is 100% - 30% is 70% so tyhe aznswer is 80%

Step-by-step explanation:

egtyrswfa

At the optimal level where the present worth of cost is $3 million, the B/C ratio is 0 that is present worth of cost that optimizes the benefit/cost ratio.

To find the present worth of cost that optimizes the benefit/cost ratio, we need to solve the given equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

Let's solve this equation to find the present worth of cost.

By rearranging the equation, we have:

(PW of benefits)² = 18 * (PW of cost) - 54

Taking the square root of both sides, we get:

PW of benefits = √(18 * (PW of cost) - 54)

To optimize the benefit/cost ratio, we want to find the value of PW of cost that minimizes the denominator. In this case, we can consider the derivative of the benefit/cost ratio with respect to the PW of cost and set it equal to zero to find the minimum value. Taking the derivative of the benefit/cost ratio with respect to the PW of cost, we get:

d(B/C) / d(PW of cost) = -18 / (PW of benefits)

= -18 / √(18 * (PW of cost) - 54)

Setting the derivative equal to zero, we have:

-18 / √(18 * (PW of cost) - 54) = 0

Solving this equation, we find that PW of cost = $3 million.

Therefore, the present worth of cost for the project that optimizes the benefit/cost ratio is $3 million. To calculate the B/C ratio at the optimal level, we substitute the value of PW of cost into the equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

(PW of benefits)² - 18 * 3 + 54 = 0

(PW of benefits)² = 0

PW of benefits = 0

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Answer:

sjdhdjdbdkendbdidjdnd

Vertical Line is a line that runs perpendicular to the Y-axis. It runs in a straight line from top to bottom and vice versa. Any point along this line will have the same x-coordinate value.

No slope exists along the vertical lines. Since it follows the y-axis parallel, the slope cannot be determined. As a result, x = an is the equation for the vertical line that, at any point, say "a," crosses the x-axis.

Since a vertical line has no y-intercept and 0 for the slope denominator, its slope is infinity or undefined.

In mathematics, we use a vertical line to determine whether the relationship is a function. If all vertical lines crossed it no less than once, it would be a function. Another name for this is the vertical line test. If a graph only has one output (y) for each input (x), it will be regarded as a function. A vertical line is therefore not a function.

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Answer:

B) y = 6,071,675,206(1.012)^x

Step-by-step explanation:

It appears that this question asks for an exponential model that represents the population growth. I believe you could view the equation in the form y = (initial population)(rate)^x

Since the initial population is 6,071,675,206, you could substitute that in to get y = 6,071,675,206(rate)^x

Since your rate is increasing by 1.2% (0.012 in decimal form), just convert that to decimal form (knowing that 100% = 1.0, add 0.012 to get 1.012). Substitute that in to get y = 6,071,675,206(1.012)^x

Hope that helps. Feel free to let me know if it made sense.

Answer:

1/2

Step-by-step explanation:

(1,1) (2,3)

you have to do the difference of the x axis and y axis then divid them by each other

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)

In calculus, a linear function is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred as a "equation with two variables." Bivariate linear equations are linear equations with two parameters. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is considered to as being linear. A mathematical equation is said to be cubic if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

x + 2y = 13

-x + y = 5

In 1

5 - y + 2y = 13

y = 8

- x + 8 = 5

-x = 5 - 8

-x = -3

x = 3 by multiplying the value of x by 2.

By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)

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The expression which uses the associative property to make 8(1/4 x 3/5) easier to evaluate is 8(3/5 x 1/4) , Option C is the correct answer.

The Complete question is

Which expression uses the associative property to make it easier to evaluate

8(1/4 x 3/5)?

A. (8 x 5/3) 1/4

B. 4(1/8 x 3/5)

C. 8(3/5 x 1/4)

D. (8 x 1/4)3/4

The associative property states that while performing , addition and multiplication of 2 or more numbers , the order does not matter.

As in the Option C

the number in the given expression 8(1/4 x 3/5)  are written in a different order.

The expression which uses the associative property to make 8(1/4 x 3/5) easier to evaluate is 8(3/5 x 1/4) , Option C is the correct answer.

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Answer:

Step-by-step explanation:

Your answer is going to be x²+4x-5=0

The intrinsic value of the stock is $47.80.

The intrinsic value of a stock is calculated using the dividend discount model (DDM).

The DDM formula is as follows:

Dividend / (Required Rate of Return - Dividend Growth Rate)

Given the dividend stream of $2.65, $5.15, and $4, we must first calculate the dividend growth rate.

The dividend growth rate is computed using the formula below:

Dividend Growth Rate = (Dividend in year 2 - Dividend in year 1) / Dividend in year 1= ($5.15 - $2.65) / $2.65= 94.34%

We are given that the dividends will begin declining at a rate of 7% for the foreseeable future.

As a result, we must decrease the dividend growth rate from 94.34% to 7%.

Next, we can now solve for the intrinsic value of the stock using the following equation:

Dividend / (Required Rate of Return - Dividend Growth Rate)Initial Dividend = $2.65

Dividend in year 1 = $5.15

Dividend in year 2 = $4

Required rate of return = 14%

Dividend growth rate = 7%

When we plug these values into the formula, we get:

2.65 / (0.14 - 0.07) + 5.15 / (1.14) + 4 / (1.14)²= $47.80

Therefore, the intrinsic value of this stock is $47.80 when the required return is 14%.

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Answer:

25

Step-by-step explanation:

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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(C) It will take him the most time to snowball his payments based on the highest interest rate.

Customers (cardholders) are given a credit card, a sort of payment card, to enable them to pay a business for goods and services based on the amount of debt they have accrued (i.e., promise to the card issuer to pay them for the amounts plus the other agreed charges).

A revolving account is set up by the card issuer, which is frequently a bank or credit union and gives the cardholder access to a line of credit from which they can borrow money to make purchases or get cash advances.

Consumer credit cards and business credit cards are the two types of credit cards.

Most cards are made of plastic, but others are made of metal (stainless steel, gold, palladium, titanium), and some have jewels inlaid in the metal.

As a result, Fred currently owes money on four separate credit cards.

Paying off your lowest obligations first, then going on to the next smallest, and so forth, is known as snowballing.

Debt avalanche, an alternative approach, recommends paying off debts with the highest interest rates first.

Therefore, (C) It will take him the most time to snowball his payments based on the highest interest rate.

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Correct question:
Fred has an outstanding balance on four different credit cards. Which method of paying off his credit card debt will take him the longest period of time?

A. Paying the minimum balance each month.

B. Making fixed payments.

C. Snowballing his payments according to the highest interest rate.

D. Snowballing his payments according to the lowest balance.

The probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings is approximately 0.00000027 or 2.7 in 10 million.

To compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings, we can use the formula for hypergeometric probability.

The number of ways to draw three Jacks and two Kings from a deck of cards is given by:

(4 choose 3) * (4 choose 2) = 6 * 6 = 36

where (n choose k) represents the number of ways to choose k items from a set of n items.

The total number of ways to draw seven cards from a deck of cards is given by:

(52 choose 7) = 133,784,560.

So the probability of getting three Jacks and two Kings when drawing seven cards from a deck of cards is:

36 / 133,784,560 ≈ 0.00000027.

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Given :-

No. of computer CDs :- 100

No. of computer :- 5

To find :-

Unit rate of CDs per computer

Solution:-

100/5

= 20 CDs per computer

20

Formulate:

\(\downarrow\)

\(\frac{100}{5}\)

_________________________________________

Calculate

\(\frac{100}{5}\)

_________________________________________

Cross out the common factor

\(20\)

I hope this helps you

:)

Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.

To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.

The total amount of merchandise purchased is $5000.

To calculate the discount amount, we multiply the total amount by the discount percentage:

Discount amount = 2% of $5000 = 0.02 * $5000 = $100

Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.

The amount Kurt company will pay to Marilyn company is:

Total amount - Discount amount = $5000 - $100 = $4900

Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

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