The equation a = 50m + 100 represents the amount of money in Malorie’s bank account as a function of time, in months. The table shows the amount in Katina’s bank account for a period of several months.
Month 0 1 2 3 4 5
Katina's Bank Account 200 220 240 260 280 300

A. How much money is in Malorie’s bank account when Katina has $280 in her account? Show your work.

B. Whose account changes at a greater rate? Show your work.

Answer:

Step-by-step explanation:

\(f(x)=\frac{27}{4} x\)

\(p(x)=\sqrt{3x}\)

\([p(x)]^6=(3^\frac{1}{2}x^\frac{1}{2})^6= 27x^3\)

\([p(x)]^6g(x)=27x^3(\frac{x}{4} )=\frac{27x^4}{4}\)

\([p(x)]^6g(x)[t(x)]^3=\frac{27x^4}{4} (\frac{1}{x} )^3=\frac{27x^4}{4x^3} =\frac{27}{4} x\)    

Solution:     \([p(x)]^6g(x)[t(x)]^3=f(x)\)

I think there might be nicer solutions but this works!

Answer:

46

Step-by-step explanation:

Angle CED and GHE are equal as the lines are parallels. Also, the line rom D to F will be a total of 180.

Therefor, substract the angle FEC from 180 and you get the angle CED which is equal to GHE

Answer:

8 quarts, in 2 gallons

Step-by-step explanation:

Answer:

D. Infinitely many solutions

Step-by-step explanation:

Answer:

Please refer to the attachment

Have a good day Ahead

This poem captures the radiance of words.

We are dependent on the power of words to express ourselves.

In the given statement, we are provided with three suffixes: "-ance," "-ence," and "-ent." We need to correctly match these suffixes to the appropriate words.

the first sentence, "This poem captures the radi" is incomplete. To complete the sentence and make it grammatically correct, we can use the suffix "-ance" to form the word "radiance." "Radiance" refers to the quality or state of being radiant or shining, which aligns with the context of the poem capturing the brightness or brilliance of words.

In the second sentence, "We are depend" is also incomplete. Adding the suffix "-ent" to "depend" results in the word "dependent." By using the word "dependent," the sentence conveys the idea that we rely on or are reliant upon the power of words to express ourselves.

By correctly matching the suffixes to the words, we ensure that the sentences are grammatically accurate and convey the intended meaning.

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Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Given

Procedure

Now for y

The answer would be x = 2.75 and y = 1.25

If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long – length.

The quarterback was standing at the 38 yard line, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we subtract the two numbers: 38 - 31 = 7. The pass was 7 yards long.

The quarterback was standing at the 38 yard line when he threw the pass, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), we get 7. This means that the pass was 7 yards long.

The quarterback was standing at the 38 yard line, and he had to throw the ball to a player on the 31 yard line. To find out the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long. This is a good example of how mathematics can be used to solve real-world problems. By breaking down the  mathematical operations problem into smaller pieces and applying, we were able to quickly and accurately find the length of the pass.

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Answer:

the answer for your question is 25

The Morse Fall Scale (MFS) is a standardized tool used to assess a patient's risk of falling. It is used by healthcare professionals in a variety of clinical settings, including hospitals, long-term care facilities, and home care.

The MFS was first developed in 1987 by Dr. Morse and her colleagues as a way to identify patients at high risk for falls and to implement fall prevention measures. The MFS is a quick and simple tool that assesses six different risk factors for falls. These risk factors include history of falling, secondary diagnosis, ambulatory aids, intravenous therapy, gait, and mental status. The MFS assigns points to each risk factor based on the severity of the risk, with a maximum score of 125. Patients who score higher on the MFS are considered to be at higher risk for falls and require more intensive fall prevention interventions. The MFS is useful for healthcare professionals in identifying patients at risk for falls and in developing an individualized fall prevention plan. The MFS is also useful in measuring the effectiveness of fall prevention interventions by allowing healthcare professionals to track a patient's progress over time. However, it is important to note that the MFS is only one tool in a comprehensive fall prevention program and should not be used in isolation.

In summary, the Morse Fall Scale is a standardized tool used to assess a patient's risk of falling. It is a simple and quick tool that assesses six different risk factors and assigns points based on the severity of the risk. The MFS is useful in identifying patients at risk for falls and in developing an individualized fall prevention plan.

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The value of the iterated integral  ∫85∫√x12ye−xdydx is

-\(4e^(-5) + 7e^(-8)\) where the inner integral is first integrated with respect to y.

We are inquiring to assess the iterated integral:

\(∫85∫√x12ye−xdydx\)

We are able to coordinate the internal integral, to begin with regard to y:

\(∫√x12ye−xdy = (-1/2)e^(-x) y√x1/2 | from y = to y = √x^1/2\)

\(= (-1/2)e^(-x) (√x^1/2)^2 - (-1/2)e^(-x) (0)\)

\(= (-1/2)x e^(-x)\)

Substituting this into the first necessity, we get:

\(∫85∫√x12ye−xdydx = ∫85(-1/2)x e^(-x)dx\)

To assess this necessarily, we utilize integration by parts with u = x and \(dv = e^(-x) dx, so that du/dx = 1 and v = -e^(-x):\)

\(∫85(-1/2)x e^(-x)dx = (-1/2)xe^(-x) + ∫85(1/2)e^(-x)dx\)

\(= (-1/2)xe^(-x) - (1/2)e^(-x) | from x = 8 to x = 5\)

\(= (-1/2)(8e^(-8) - 5e^(-5)) - (1/2)(e^(-8) - e^(-5))\)

\(= -4e^(-5) + 7e^(-8)\)

therefore, the value of the iterated integral is \(-4e^(-5) + 7e^(-8).\)

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The waterfall model has equivalent flexibility to other approaches. suitable for conventional project management tools and methods.

The waterfall model of the software development life cycle is the greatest technique for creating systems.

This includes the following elements:

1. The requirements phase, which takes into account the needs needed to build the product

2. The product's design is created

3. The programmers who wrote the code to put the product into action built the product.

4. The product is examined and all flaws are fixed to ensure that it responds correctly to inputs.

5. The systems are periodically maintained to ensure continued operation and proper output

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Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

The area of the given figure which has the shape of a trapezium would be = 58.5cm²

To calculate the area of the trapezium given above, the formula for area of a trapezium should be used and this is given below;

Area of a trapezium= 1/2(a+b)h

Where;

a= 12cm

b= 7.5cm

height= 6cm

Area of trapezium = 1/2(12+7.5) × 6

= 19.5×3 = 58.5cm²

Therefore, the area of the given shape above is calculated as 58.5cm²

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Answer:

203

Step-by-step explanation:

you just have to just add up. then you get it

Answer:

9 adults= 81

10 children= 40

81+40= 121

8 Adults- 72

11 children- 44

72+44= 116

7 adults- 63

12 children- 48

63+48= 111

Answer:

2.2360679775

Step by-step explanation:

Calculator

X/Y means,

Thus, X/Y is a null set.

Thus, option (B) is the correct solution.

Answer:

Step-by-step explanation:

X = {9, 25}

Y = (1, 4, 9, 16, 25}

Set difference X and Y:

X ∖ Y = ∅  - Empty set

Answer:

The answer should be -15

Step-by-step explanation:

Hope this helps

Answer:

-15 my dude

Step-by-step explanation:

2+(-15)=13

Hope this helps :)

The sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others.

For the given situation,

Sample size = 20

Here Matilda have surveyed only 20 people. Since it is a less value, the sample is biased.

We could not take as the population suggestion with the suggestion of only seven people.

To know the population's liking's, Matilda should have asked more people in the street if they would like to discuss what they want to do during the summer break asked more number of people in the population.

Hence we can conclude that the sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

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The simplified expression of 2x + 3x36 is 5x + 36.

When we have terms that have the same variable and exponent, we can combine them by adding their coefficients.

In the given expression, we have two terms: 2x and 3x. Both terms have the same variable 'x' with the same exponent of 1. So, we can add their coefficients, which are 2 and 3, respectively. Adding 2 and 3 gives us 5. So, the two terms can be combined as 5x.

After combining the like terms, the expression becomes 5x + 36. This is because we have only one term that contains 'x' which is 5x, and we have one constant term which is 36. These two terms are not like terms, so we can't combine them.

Hence, the simplified expression is 5x + 36.

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Answer:

4%

Step-by-step explanation:

1/25 = 0.04 = 4%

Answer:

chu papi munanyo

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

Line segment EG is partitioned by point F in the ratio 1:3.

This means that:

\(F - E = \frac{1}{4}(G - E)\)

We use this equation to find both the x-coordinate and the y-coordinate of point G.

x-coordinate:

x-coordinate of E: 0

x-coordinate of F: 1

x-coordinate of G: x

Then

\(F - E = \frac{1}{4}(G - E)\)

\(1 - 0 = \frac{1}{4}(x - 0)\)

\(1 = \frac{x}{4}\)

\(x = 4\)

y-coordinate:

y-coordinate of E: 4

y-coordinate of F: 3

y-coordinate of G: y

Then

\(F - E = \frac{1}{4}(G - E)\)

\(3 - 4 = \frac{1}{4}(y - 4)\)

\(-1 = \frac{y-4}{4}\)

\(y - 4 = -4\)

\(y = 0\)

What are the coordinates of point G?

x = 4, y = 0, so (4,0).

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find the mean, you have to add every value and then divide that number by the number of values in the data set.

Add the values:

15 + 29 + 16 + 23 + 42 + 19 = 144

Check how many values there are:

There are six values.

Divide:

144/6 = 24

Answer:

4/15 is the answer my guy

Step-by-step explanation:

5/3 x 4/25= 20/75 simplified is 4/15

The solution to this system of equations is (3,1,-2) which are represented by matrix.

This system of equations can be represented by the augmented matrix:

\(\begin{bmatrix}100 & -3 & 0 \\010 & 0 & 1 \\001 & 0 & -2\end{bmatrix}\)

The augmented matrix can be transformed into an upper triangular matrix using row operations:

\(\begin{bmatrix}100 & -3 & 0 \\000 & 3 & 1 \\000 & 0 & -2\end{bmatrix}\)

Now, we can use back substitution to solve for the unknowns.

From the bottom row, we can see that z = -2.

From the second row, we can see that y = 1.

Using the top row and the values for y and z, we can solve for x:

100x - 3(1) + 0(-2) = 0

100x - 3 + 0 = 0

100x = 3

x = 3

Thus, the solution to this system of equations is (3,1,-2).

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The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Answer:24divided by 16/64

Step-by-step explanation:

8x[7+1]2/4x4/16

8x8/2/4x4/16

48/2/4x4/16

48/2/16/64

24/16/64

Answer: x = 72

Step 1: Add 17 to both sides.

Step 2: Multiply both sides by 8/3.