y/9 = 4/12

show step by step

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

Without additional information, it is not possible to determine the specific value of (c) in this case.

To find the function (f(x)) and the number (c) such that

\($\(\lim_{x\to 25}\frac{8x-40}{x-25} = f'(c)\),\)

we can start by simplifying the expression inside the limit.

\($\lim_{x\to 25}\frac{8x-40}{x-25} &= \lim_{x\to 25}\frac{8(x-5)}{x-25}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)}{x-25}\cdot\frac{(x-25)}{(x-25)}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)(x-25)}{(x-25)^2}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)(x-25)}{(x-25)(x-25)}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)}{(x-25)}\)

Now, we can see that the limit expression simplifies to

\($\(\lim_{x\to 25}8 = 8\)\)

Therefore, (f'(c) = 8).

Since (f'(c) = 8), the function (f(x)) must be the antiderivative of 8, which is (f(x) = 8x + k), where (k) is a constant.

To find the value of (c), we need more information about the function \(f(x)) or the original limit expression. Without additional information, it is not possible to determine the specific value of (c) in this case.

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Account A has a principal of  $15,000

Account B has a principal of $6250

Hence, account A will earn the highest interest in the first month.

When we talk about the simple interest, we mean the kind of interest that is charged only on the principal sum and not on the interest of the former year. Given that 18 months is 1.5 years and 15 months is 1.4 years we can now have that;

I= PRT/100

A = P + I

P = principal

I = interest

R = rate

T =time

Thus;

For account A

8.1 = P * 0.036 * 1.5/100

8.1 = 0.054P

P = $15,000

For account B;

19.25 = P * 0.022 * 1.4/100

P = 1925/0.308

P = $6250

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I would say it would be "True friends stay together through good times and bad" because it gives a moral of a story.

Answer:

True friends stay together through good times and bad.

Step-by-step explanation:

Answer:You can choose 6 different sets of 5 books to read.

Step-by-step explanation:All you need to do is do 30 divided by 5 and you get 6

Im pretty sure its permutation

Answer:

07:43: 12 AM

Step-by-step explanation:

Given that:

Traffic lights change after every 48, 72 and 108 seconds.

They changed simultaneously at 7:00 AM.

To find:

At what time, they will change simultaneously again ?

Solution:

For this, we need to find LCM(Least Common Multiple) of the three numbers and then add it to 7:00 AM to find the time they will change together again.

Because LCM of 3 numbers is the least number which is divisible by all 3 numbers.

Let us factorize the numbers and underline the common part:

\(48 = \underline{12}\times 4\\72 = \underline{12}\times 6\\108 = \underline{12}\times 9\)

Common part is taken only once and the remaining part is multiplied to it to find the LCM.

So, LCM = \(12 \times 4\times 6 \times 9 = 2592\)

In 2592 seconds, they will change together again.

Changing 2592 seconds in minutes:

Let us divide it by 60:

We get 43 minutes 12 seconds.

Let us add it to 7:00AM, we get the following:

So, the time at which they will change simultaneously = 07:43: 12 AM

Based on the number of miles to Anchorage from Mary's home in Zionsville, PA, the miles when rounded to the nearest ten is 4,380 miles.

When rounding off to the nearest ten, you look at the number in the ones position. If this number is 4 or below 4 then you round the number in the tens position to the nearest lower whole number.

If the number in the ones position is 5 or more than 5 on the other hand, you round the tens number to the nearest highest whole number.

The miles from Zionsville, PA, to Anchorage in this scenario is 4,377 miles so this number in the ones position, "7," is larger than 5 so you round the number in the tens position to the nearest highest whole number.

This rounds the number to "8"

The miles rounded to the nearest ten is:

= 4,380 miles

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Answer:

4

Step-by-step explanation:

use pemdas.

4+4-4x4/4

4+4-16/4

4+4-4

8-4

4

The size of the quantity after 20 years is given by the exponential expression 650 * e^(12).

To model the growth of the quantity over time, we can use the exponential growth formula:

A(t) = A(0) * e^(rt)

Where:

A(t) represents the size of the quantity at time t,

A(0) represents the initial size of the quantity,

e is Euler's number (approximately 2.71828),

r represents the continuous growth rate,

t represents the time elapsed.

In this case, the initial size of the quantity is 650 and the continuous growth rate is 60% per year, which can be expressed as 0.6 in decimal form.

Substituting these values into the formula, we have:

A(t) = 650 * e^(0.6t)

To find the size of the quantity after 20 years, we substitute t = 20 into the function:

A(20) = 650 * e^(0.6 * 20)

Simplifying the expression, we have:

A(20) = 650 * e^(12)

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(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

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Answer:

14.45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the match-ups:

Han:  x+2<20

Mai: x-2<20

Tyler: 2x<20

Priya: 1/2<20

The area of the whole mosaic is  150.06 square feet.

What is an array?

In mathematics, an array is an ordered arrangement or display of objects or numbers in rows and columns. Arrays are commonly used to represent multiplication and division in arithmetic, and they can also be used to organize data in statistics and other fields.

The mosaic has a 7 × 7 array of square tiles, so it has a total of 7 x 7 = 49 tiles.

Each tile is 1 3/4 feet long, so its area is (1 3/4) x (1 3/4) = 49/16 square feet.

Therefore, the area of the whole mosaic is:

49 tiles x (49/16 square feet per tile) = 2401/16 square feet

Simplifying this fraction gives:

Area of mosaic = 150 1/16 square feet

So the area of the whole mosaic is approximately 150.06 square feet.

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Answer:

11:23

Step-by-step explanation:

Can I have the crown thingy please!!!

Answer: 11:37

Step-by-step explanation:

2:25 - 2:00 =12:25

12:25-00:48= 11:37

Answer:

5.17

Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

The family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P) on an appropriate interval of definition.

In the first paragraph, we summarize that the family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P). This equation represents the rate of change of the variable P with respect to time t, and the solution provides a relationship between P and t. In the second paragraph, we explain why this family of functions satisfies the given differential equation.

To verify the solution, we can substitute P = C1e^t / (1 + C1e^t) into the differential equation dP/dt = P(1 - P) and see if both sides are equal. Taking the derivative of P with respect to t, we have:

dP/dt = [d/dt (C1e^t / (1 + C1e^t))] = C1e^t(1 + C1e^t) - C1e^t(1 - C1e^t) / (1 + C1e^t)^2

      = C1e^t + C1e^(2t) - C1e^t + C1e^(2t) / (1 + C1e^t)^2

      = 2C1e^(2t) / (1 + C1e^t)^2.

On the other hand, evaluating P(1 - P), we get:

P(1 - P) = (C1e^t / (1 + C1e^t)) * (1 - C1e^t / (1 + C1e^t))

        = (C1e^t / (1 + C1e^t)) * (1 - C1e^t + C1e^t / (1 + C1e^t))

        = (C1e^t - C1e^(2t) + C1e^t) / (1 + C1e^t)

        = (2C1e^t - C1e^(2t)) / (1 + C1e^t)

        = 2C1e^t / (1 + C1e^t) - C1e^(2t) / (1 + C1e^t).

Comparing the two sides, we see that dP/dt = P(1 - P), which means the family of functions P = C1e^t / (1 + C1e^t) is indeed a solution to the given differential equation.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer : Rena's weekly gross earnings are $976.31.

Step-by-step explanation :

As we are given total earning of Rena per year is $50,768.

Now we have to calculate her weekly gross earnings.

As we know that in one year there are 52 weeks.

That means,

1 year = 52 weeks

According to the question:

As, Rena earns in 52 weeks = $50,768

So, Rena earns in 1 week = \(\frac{\$ 50,768}{52}\)

                                          = $976.31

Therefore, Rena's weekly gross earnings are $976.31.

Answer:

0.4589

Step-by-step explanation:

We solve using z score formula

The z score formula for a random number of samples is:

z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation

Hence:

z = 246.7 - 245.3/96/√50

z = 0.10312

Probability value from Z-Table:

P(x<246.7) = 0.54107

P(x>246.7) = 1 - P(x<246.7) = 0.45893

Approximately to 4 decimal places = 0.4589

The probability that a single randomly selected value is greater than 246.7 is 0.4589

There are 18 teams in the lacrosse league in the third year. It's important to note that percentages are a way of representing fractions out of 100.

In the first year, the lacrosse league has 20 teams.

In the second year, the number of teams increases by 20%, which is 20/100 x 20 = 4. Therefore, the number of teams in the second year is 20 + 4 = 24.

In the third year, the number of teams decreases by 25% from the second year, which is 25/100 x 24 = 6. Hence, the number of teams in the third year is 24 - 6 = 18.

Therefore, there are 18 teams in the lacrosse league in the third year.

It's important to note that percentages are a way of representing fractions out of 100. In the second year, the 20% increase can also be written as a multiplication factor of 1.2 (1 + 20/100). Similarly, the 25% decrease in the third year can be written as a multiplication factor of 0.75 (1 - 25/100). Using these multiplication factors can make it easier to calculate the number of teams in each year.

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Answer:

\(6.3\:\mathrm{m^2}\)

Step-by-step explanation:

\(\frac{\pi}{8}=22.5^{\circ}\)

The area of the sector is given by \(\frac{22.5}{360}\cdot 4^2\pi=\boxed{6.3}\).

Answer:

3.1

Step-by-step explanation

100% sure

Answer:

403.8 cm

Step-by-step explanation:

Refer to the picture that given

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

If the number is x, we can write the following equation:

2 + 10x = 2

10x = 0 so therefore, x must be 0. There is no other number that satisfies this property.

I can buy 75 latex balloons and 50 mylar balloons.

This is a problem from an algebraic equation. We can solve this problem by following a few steps.

We need 125 balloons. Let's assume we have to purchase x latex balloons.

So, mylar balloons are ( 125 - x ).

Our total budget is $32.50.

The cost of x latex balloons is ($.10 × x) = $.10x , as the latex balloons cost $.10 each.

The cost of ( 125- x)  mylar balloons is $[( 125- x) × 0.50] , as the mylar balloons cost $.50 each.

So the total cost is,

$[( 125- x) × 0.50] + $.10x  = 32.50

Now, we have to solve this equation, Let's simplify it.

62.50 - 0.50x + .10x = 32.50

Or, 62.50 - 0.40x = 32.50

Or, -0.40x =  32.50 - 62.50       [ deduce 62.50 from both side ]

Or, -0.40x =  -30                 [ we should devide both sides 0.40 ]

Or, x = 30/0.40 = 75

So, the number of latex balloons is 75. Therefore, the number of remaining mylar balloons is ( 125 - 75) = 50

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Answer:

ok ok por favor, un punto extra y la ayuda más brsinliest por favor para

Answer: Choice A

Ahmed started 6 floors above ground level, then he went down 8 floors

The +6 or simply 6, is positive, so he's on the 6th floor to start. Then adding on -8, which is the same as subtracting 8, moves him down 8 floors.

6 + (-8) = 6 - 8 = -2 indicates he's 2 floors below ground level, so he's in basement level 2 (perhaps some kind of parking garage).

Answer:

the answer is A.

Step-by-step explanation:

got it right on edg

and good luck on exams, dont forget to study l o l

Answer:

if it takes 4 people for 2 days

4+4= 8

so it would only take 8 people for 1 day

Answer:

1 day

Step-by-step explanation:

4 people = 2 days

→ Work out how long 1 person takes

4 people = 2 days

( ÷ 4 )            ( × 4 )

1 person = 8 days

→ Work out how long 8 people can do it

1 person = 8 days

( × 8 )            ( ÷ 8 )

8 people = 1 day