En la función de la imagen la ecuación de la asíntota vertical es___

Answer:

Hi! The correct answer is 49/2 as an improper fraction and 24 1/2 in mixed number form!

Step-by-step explanation:

~If it takes 2 and 1/3 to paint 1 wall then that's the unit rate. Multiply the unit rate by the number of total walls and that's your answer~

Answer:

z=120

Step-by-step explanation:

z/12 = 10

multiply both sides by

12 12z/z =

10 x 12

z= 120

Answer:

z=12x10=120

Step-by-step explanation:

hope this helps ˙˚ʚ(´◡`)ɞ˚˙

Answer:

The strategy is to find out the total area and find the area of the 3 circles then subtract the sum of the circles' are from the total area

Total area = (length * width) = ( 3+6+9+12) * 18 = 540 sq. inch

3 Circles area = πr₁² + πr₂² + πr₃²

πr₁² + πr₂² + πr₃²

π(6²) + π(4.5)² + π(3)²

= 36π + 20.25π + 9π

= 65.25π

Shaded area = 540 - 64.25π = 335.011 sq. in

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

Maricella has 4 quarters and 31 nickels in her bag.

Let's use the given terms and set up a system of equations to solve this problem:
Let n = number of nickels
Let q = number of quarters
We know two things:
There are 35 coins in total, so n + q = 35.
The total value is less than $2.75, so 0.05n + 0.25q < 2.75
Now let's solve the system of equations:
Solve the first equation for n:
n = 35 - q.

Substitute this expression for n into the second equation:
0.05(35 - q) + 0.25q < 2.75
Distribute the 0.05 to the terms inside the parentheses:
1.75 - 0.05q + 0.25q < 2.75
Combine like terms:
0.20q < 1
Divide by 0.20:
q < 5
Since q must be a whole number (as it represents the number of quarters), the highest possible value for q is 4.

Now we need to find the number of nickels.
Step 6: Substitute q = 4 back into the equation for n:
n = 35 - q
n = 35 - 4
n = 31.

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The monthly pay for Jerry is $6500.

Jerry hit the maximum taxable social security income in the 3.36 months.

The social security tax Jerry paid in January is $403

The social security tax Jerry paid in December is zero

What is monthly gross pay?

Monthly gross pay is the amount received by an employee monthly prior to the time at which tax and other deductions are being taken from his/her account.

From the parameters given:

A.

Jerry earned $78000 yearly; her monthly gross pay can be computed as:

\(\mathbf{=\dfrac{78000}{12}}\)

= $6500

B.

The federal tax rate for a single person in 1990 is 28.0%

From $78000, Jerry tax rate = $21840

Therefore, the month that Jerry reaches maximum taxable social security income is computed as:

\(\mathbf{=\dfrac{\$21840}{\$6500/month}}\)

= 3.36 months

C.

Let's assume that the social security tax rate in 1990 was 6.20%.

Then, the amount of social security tax paid in January (since it is a single month) is:

\(\mathbf{= \dfrac{6.20}{100} \times \$6500}\)

= $403

D.

Provided that the number of months required to complete the maximum social security tax is 3.36 months and the social security tax we are to determine is more than 3.36 months(December);

We can conclude that the social security tax Jerry paid for the month of December is zero.

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The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

The predicted income increases by $2,500, holding all other variables constant.

To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:

B(unstandardized) = B(standardized) * (SDY/SDX)

where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.

Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:

B(unstandardized) = 0.5 * (10,000/2) = 2,500

This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.

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Answer:

The answer is 3 or 3/1

Step-by-step explanation:

The equation you use is m=y2-y1/x2-x1

Answer:

Slope = 3

Step-by-step explanation:

\(\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}\)

Define two points on the line from the given table:

Substitute the defined points into the formula:

\(\implies \textsf{Slope}=\dfrac{13-7}{4-2}=\dfrac{6}{2}=3\)

Note:

Therefore, the question may require you to enter 6/2 into the answer boxes.  However, the slope of the line is 3.

Answer:

$595

Step-by-step explanation:

85x7=595

Answer:

I belive the total change is $595

Step-by-step explanation:

My explanation is that you take $85 and times it by 7

Answer:203 ft/s

Step-by-step explanation:

Answer:

x = 3, y = 11

Step-by-step explanation:

Congruent

If two figures are congruent, they have the same shape and the same size.

If the pair of given triangles are congruent, their corresponding sides will be the same.

Therefore, to find the values for x and y, simply equate the sides and solve:

    2x + 3 = 9

⇒ 2x + 3 - 3 = 9 - 3

⇒ 2x = 6

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

    y - 4 = 7

⇒ y - 4 + 4 = 7 + 4

⇒ y = 11

Therefore, the pair of values for x and y that justify the claim that the two triangles are congruent are x = 3 and y = 11

The correct answer is, x = 3, y = 11

Two figures are said to be congruent, if they have the same shape and the same size and their corresponding parts are congruent.

Given is a pair of congruent triangles, we need to find the missing sides of the lower triangle,

We know,

If the pair of given triangles are congruent, their corresponding sides will be the equal.

Therefore, we can write,

2x + 3 = 9.

y - 4 = 7.

Solving for x and y, we get,

2x + 3 = 9

2x = 9-3

2x = 6

x = 3

And,

y - 4 = 7

y = 7+4

y = 11

Hence, the values for x and y are x = 3 and y = 11

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Answer:

136

Step-by-step explanation:

4 times 32 = 128

32/4=8

128+8=136

Answer:

135

Step-by-step explanation:

1. divide 32 by 60 to get how many copies per second

\(32/60 = 0.533\)

2. convert 4min and 15 sec to seconds

it is 255 seconds

3. Multiply copies per second by number of seconds

\(0.533(255) = 135.91\)

4. Round down to whole number because you can't copy part of a paper

Part 1:The letters available are D, C, O, N, O, U. Since no letter is repeated, we can use the rule of permutations to find the number of 4-letter code words that can be formed. The formula for the number of permutations of n distinct objects taken r at a time is: P(n, r) = n!/(n-r)!We have 6 distinct objects (letters) and we want to take 4 of them.

Therefore, the number of 4-letter code words that can be formed without any repetition is:P(6, 4) = 6!/(6-4)! = 6!/2! = 6*5*4*3 = 360So, there are 360 possible 4-letter code words that can be formed if no letter is repeated.Part 2:If letters can be repeated, then we can use the rule of permutations with repetition. The formula for the number of permutations of n objects taken r at a time, with repetition, is:n^rWe have 6 objects and we want to take 4 of them, with repetition.

Therefore, the number of 4-letter code words that can be formed with repetition is:6^4 = 6*6*6*6 = 1,296So, there are 1,296 possible 4-letter code words that can be formed if letters can be repeated. and then we must choose a different letter for the third position, and then we must choose a different letter for the fourth position. After that, we can repeat the cycle starting with the first letter againAdjacent letters must be different: There are 120 possible 4-letter code words that can be formed.

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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The appropriate soil media depth for the green roof can be determined, taking into account the WQv requirement and the structural limitations of the rooftop.

a) The WQv represents the volume of water that needs to be managed to meet water quality regulations. To calculate the WQv, the 90% rainfall number (P = 1.2 in) is used. The WQv can be determined by multiplying the rainfall number by the surface area of the rooftop reserved for the green roof (30 ft x 100 ft x 0.4, considering 60% reserved for maintenance access and equipment).

b) The minimum soil media depth needed to meet the WQv can be calculated by dividing the WQv by the product of the soil media porosity (20%) and the drainage layer depth (2 in).

c) Finally, the soil media depth for the green roof design needs to be determined. It should not exceed the maximum allowed soil depth of 1 foot.

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Answer:

C. 20/52

Step-by-step explanation:

Answer:

hope it would help you

Step-by-step explanation:

the ans should be A

mark my ans as BRAIN LIST

Answer:

104

Step-by-step explanation:

you have to find the least common multiple lcm between the bottom numbers. and since there is none before you just multiply the two together to get the same bottom number.

Answer:

8

Step-by-step explanation:

To do this, multiply the top and bottom of the first fraction by the second fraction's denominator, then multiply the top and bottom of the second fraction by the first fraction's denominator. This is how I answered on a test AND got it correct.

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

Divide each side by -5

-5(x-1)/-5 = 40/-5

x-1 = -8

Add 1 to each side

x-1+1 = -8+1

x = -7

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

-5x + 5 = 40

5x - 5 = - 40

5x = 5 - 40

5x = - 35

x = -35/5

x = -7

The cost function corresponding to the given marginal cost function C'(x) = 0.03e is C(x) = 0.03e^x + K, where K is the constant of integration and accounts for the fixed cost of $10.

The marginal cost (MC) represents the derivative of the cost function with respect to the quantity of items produced. To find the cost function, we need to integrate the marginal cost function.
Integrating C'(x) = 0.03e with respect to x gives us C(x) = 0.03∫e dx. The integral of e with respect to x is simply e^x.
Therefore, C(x) = 0.03e^x + K, where K is the constant of integration. However, we are given that the fixed cost is $10. This means that when x = 0 (no items produced), the cost is $10. Plugging in x = 0 and C(x) = 10 into the cost function equation, we can solve for K:
10 = 0.03e^0 + K
10 = 0.03(1) + K
10 = 0.03 + K
K = 10 - 0.03
K = 9.97
Therefore, the cost function corresponding to the given marginal cost function is C(x) = 0.03e^x + 9.97.

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Step-by-step explanation:

x will be 0

y will be -2

thats the answer babe

The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

What is the equation of the parabola with a vertex at the origin and a vertical axis, which passes through the point (-3, -3)?

The equation of the parabola in standard form is \(y=-\frac{1}{3}x^{2}\). This equation represents a parabola with a vertex at the origin (0, 0) and a vertical axis. Additionally, it passes through the point (-3, -3), satisfying the given characteristics.

To find the standard form of the equation of a parabola with a vertex at the origin and a vertical axis, we can use the general equation of a parabola:

y=\(a(x-h)^{2}\)+k

where (h, k) = the vertex of the parabola.

Since the vertex is at the origin , the equation becomes:

y=a\(x^{2}\)

Now, we need to find the value of 'a' using the given point on the parabola (-3, -3).

These values are satisfied the equation, we have:

\(-3=a(-3)^2\)

Simplifying:

−3=9a

Dividing both sides by 9:

\(a=-\frac{1}{3}\)

Therefore, the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

Hence, the equation  in standard form is:\(y=-\frac{1}{3}x^{2}\)  

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Answer

Dude my name is Lara and my fourth grade teacher was mrs. Watson..... but the dress shop is the answer.... guess my boutique just wasn’t it huh:

Step-by-step explanation:

Hello There!!

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Well, We're looking at figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

GH = X = 5

HI = X = 5

IJ = X = 5

JK = 9

\(HopeThisHelpsYou!\)

\(_{Losersbrazts}\)

a) and c) Calculate the probability of twelve or thirteen and twenty customers arriving in one hour using the Poisson distribution formula respectively.

b) and d) Use Minitab to calculate the probabilities.

a) The probability that twelve or thirteen customers will arrive during the next one hour can be calculated by summing the individual probabilities of each event. Since the number of customers follows a Poisson distribution with an average rate of B per 30 minutes, we need to adjust the rate to match the one-hour period.

Step 1: Convert the average rate to per one-hour period.

Average rate per 30 minutes: B

Average rate per one hour: 2B (since there are two 30-minute intervals in one hour)

Step 2: Calculate the probabilities for twelve and thirteen customers.

Using the Poisson distribution formula:

P(X = k) = (e^(-λ) * λ^k) / k!

P(X = 12) = (e^(-2B) * (2B)^12) / 12!

P(X = 13) = (e^(-2B) * (2B)^13) / 13!

Step 3: Sum the probabilities.

P(X = 12 or X = 13) = P(X = 12) + P(X = 13)

b) To solve part a) using Minitab, follow these steps:

1. Open Minitab.

2. Go to Calc > Probability Distributions > Poisson.

3. In the dialog box, enter the appropriate parameters: Average = 2B and Variable = 12, 13.

4. Click "OK" to get the results, which will include the probabilities.

c) The probability that more than twenty customers will arrive during the next two hours can be calculated using the Poisson distribution formula.

Step 1: Convert the average rate to per two-hour period.

Average rate per 30 minutes: B

Average rate per two hours: 4B (since there are four 30-minute intervals in two hours)

Step 2: Calculate the probability for more than twenty customers.

Using the complement rule, we can calculate the probability of fewer than or equal to twenty customers and subtract it from 1 to get the probability of more than twenty customers.

P(X > 20) = 1 - P(X ≤ 20)

Step 3: Calculate the cumulative probability.

Using the Poisson distribution cumulative probability formula:

P(X ≤ 20) = Σ (e^(-λ) * λ^k) / k! for k = 0 to 20

Step 4: Subtract the cumulative probability from 1.

P(X > 20) = 1 - P(X ≤ 20)

d) To solve part c) using Minitab, follow similar steps as in part b) but with appropriate parameters for the two-hour period and the desired probability of more than twenty customers.

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Step-by-step explanation:

The mean is: 48

The median is: 49.5

The Mode is: 74

The Range is: 51

The mean is increased by: 1.09

The median is increased by: 0.5

The mode is: 74

The Range is: 51