Find the slope and the y-intercept of the following linear equation.
15x – 10y = 10

Answer:

2 weekend days and 4 weekday days

Step-by-step explanation:

12 x 2 = 24

7 x 4 = 28

28 + 24 = 52

Given

Procedure

Now for y

The answer would be x = 2.75 and y = 1.25

Answer:

This is the graph I inputted into desmos.

Step-by-step explanation:

Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.

For example: see attached image of table.

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

There is no enough information to determine probability of not having 3, P(not 3).

Suppose we were given the probability of having 3, P(3), we can easily find P(not 3).

The probability of success plus the probability of failure of an event is always equal to 1.

If p is the probation success, and q, of failure, then p + q = 1

So,

P(3) + P(not 3) = 1

That is

P(not 3) = 1 - P(3).

Answer:

good luck

Step-by-step explanation:

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

Amount=INTEREST +PRINCIPAL

=PRINCIPAL+PRT/100

=£11180+(11180×4.3×3)/100

=£11180+(144222)/100

=£11180+1442.22

=£12622.22

PLEASE GIVE BRAINLIEST

Answer:

10.96

Step-by-step explanation:

Answer:At a​ little-known vacation​ spot, taxi fares are a bargain. A 12​-mile taxi ride takes  14 minutes and costs ​$.8.40 You want to find the cost of a ​- 38 mile taxi ride. What unit price do you​ need?

Step-by-step explanation:

0.70

Mile

The ultimate purpose of constructing a standard curve is to use it to calculate the concentration of a substance in solution.

What is a standard curve?

A standard curve is a graphical representation of a mathematical function that relates the concentration of a solution to the amount of light that passes through it. The majority of standard curves have a linear relationship between the dependent and independent variables. These curves are particularly useful for chemical tests that require the use of an instrument, such as a spectrophotometer.

A standard curve is created by generating a series of known concentrations of a specific compound in a solution. The absorption values are measured, and the data are then plotted on a graph. The resulting data points can then be utilized to create a standard curve, which can be used to identify the concentration of unknown samples.

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Answer: sinx-cosx

Step-by-step explanation:

\(\displaystyle\\\frac{2sin^2x-1}{sinx+cosx} =\\\\\frac{sin^2x+sin^2x-1}{sinx+cosx} =\\\\\frac{1-(1-sin^2x)}{sinx+cosx} =\\\\\frac{sin^2x-cos^2x}{sinx+cosx} =\\\\\frac{(sinx+cosx)(sinx-cosx)}{sinx+cosx} =\\\\sinx-cosx\)

Answer:

I exactly don't have or know the answer

The coordinates of the point P at which the tangent line passes through (5,0) graph of f(x) = 9 - x² is (-16, 9)

The coordinates of the point on the graph is the values at which the curve cuts the x-axis at these points (5,0)

The given graph f(x) = 9-x²

By substitution we have

f(x) = 9-(5)²

⇒f)x) = 9-25

f(x) = -16

Also, from the same function

We have f(x) 9-x²

⇒f(x) = 9-(0)²

f(x) 9-0 = 9

Therefore the coordinates of the graph at the point p is (-16, 9)

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Answer:

Step-by-step explanation:

A.) To find out how many pages Celina reads per minute, you would have to divide 16 by 8 = 2.

B.) Now that we know she reads two pages every one minute, we are able to calculate how many minutes it takes her to read one. You need to divide 2 by 2 = 1.

A.) = 2

B.) = 1

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

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

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Answer:

the answer is m>18 hope this helps

It will take Sofia 3 hours to travel 13.5 miles at the same rate.

A rate is a ratio which compares two different quantities with different units.

For rate, the quantity at the denominator is usually expressed as a single unit to ascertain the extent of change of the other quantity

Sofia travelled 9miles for 2 hours so that her rate is 4.5 miles per hour

If she travels with the same speed and covered 13.5 miles,

Then the time she took to cover 13.5 miles is  = 13.5/4.5 = 3

In conclusion, It took Sofia 3 hours to cover 13.5 miles at the rate of 4.5 miles per hour.

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The job will take 5 hours time for a crew of 5 people.

Inverse variation means that as one value increases, the other decreases. In this example, as the number of people on the crew increases, the amount of time it takes to complete the job decreases. To solve this problem, we must first find the rate of change. We can do this by dividing 8 hours (the amount of time it took the crew of 3 people) by 3 people, which gives us a rate of 2.67 hours per person. Then, to find the time for the crew of 5 people, we can multiply the rate of change (2.67 hours per person) by the number of people on the crew (5). This gives us a total of 13.35 hours, which can be rounded to 5 hours time.

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The points (2, 2) and (2, 3) are not on the graph of the inverse function of f(x) = 3x^2. Option A & B.

To determine which point is not on the graph of the inverse of the function, we need to find the inverse function of f(x) = 3x^2. Let's denote the inverse function as g(x).

To find the inverse function, we can interchange the x and y variables and solve for y. So, we have:

x = 3y^2

Now, let's solve for y by taking the square root of both sides:

√(x/3) = y

Thus, the inverse function is g(x) = √(x/3).

Now, we can check which point is not on the graph of the inverse function by substituting the x-coordinate of each point into the inverse function and see if it matches the y-coordinate.

(2, 2):

Substituting x = 2 into g(x), we have g(2) = √(2/3) ≈ 0.816.

Since the y-coordinate is 2, this point is not on the graph of the inverse function.

(2, 3):

Substituting x = 2 into g(x), we have g(2) = √(2/3) ≈ 0.816.

Since the y-coordinate is 3, this point is not on the graph of the inverse function.

(5, 5):

Substituting x = 5 into g(x), we have g(5) = √(5/3) ≈ 1.291.

Since the y-coordinate is 5, this point is on the graph of the inverse function.

(8, 7):

Substituting x = 8 into g(x), we have g(8) = √(8/3) ≈ 1.632.

Since the y-coordinate is 7, this point is on the graph of the inverse function. option A & B are correct.

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The second and third image will be congruent to the pre-image. The solution has been obtained by applying the concept of transformations.

What is transformation?

Any action that moves a polygon or other two-dimensional object on a plane or coordinate system is referred to as a transformation.

Pre-image or "inverse image" refers to the two-dimensional shape that exists before any change. The transformed shape is represented by the image.

1. This is not congruent because both the coordinates are dilated and after dilation the size of the image is not the same as of original figure.

2. This is congruent because there is only translation which means it is same as the original figure but the position is different.

3. This is congruent because only translation has taken place which means it is same as the original figure but the position is different.

4. This is not congruent because one coordinate i.e. x has been dilated and after dilation the size of the image is not the same as of original figure.

Hence, second and third are congruent to the pre-image.

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It is given that the height of the wall is H.

Number of brick layers is n.

The height of the wall is proportional to the number of brick layers.

The walls height in inches is given by the formula:

h=3n

We can see from the above formula that the height of the wall increases by Three inches for every additional layers of bricks.

so we conclude the height of each brick layer is 3.

When n= 12,

h= 3n = 3 * 12 = 36 inches

so the bricks wall is 36 inches high with 12 layers. The result corresponds to point A (12,36) . As shown in the plot.

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_______ The given question is incomplete, the complete question is here:

A brick wall is being built with layers of bricks one on top of another. The height of the wall H is proportional to the number of brick layers n. The walls height in inches is given by the formula h=3n

The utility function for which there will always be only a corner solution is option a, U(X,Y) = min(X, 3Y).

A corner solution occurs when the optimal choice lies on the boundary of the feasible region rather than in the interior. In option a, U(X,Y) = min(X, 3Y), the utility function takes the minimum value between X and 3Y. This implies that the utility depends on the smaller of the two variables. As a result, the optimal choice will always occur at one of the corners of the feasible region, where either X or Y equals zero.

For the remaining options, b, c, and d, the utility functions are not restricted to the minimum or maximum values of X and Y. In option b, U(X,Y) = X^2 + Y^2, the utility is determined by the sum of the squares of X and Y. Similarly, in option c, U(X,Y) = X^2Y^2, the utility is a function of both X and Y squared. In option d, U(X,Y) = 5X + 2Y, the utility is a linear combination of X and Y. These functions allow for non-zero values of X and Y to be chosen as the optimal solution, resulting in solutions that do not necessarily lie at the corners of the feasible region. Therefore, option a is the only one that guarantees a corner solution.

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EY to be larger than EX, in both the cases in which is consistent with our earlier reasoning on using probabilities of each bus being selected.

(a)if we assume that the distribution of the number of students on each bus is roughly uniform, then we might expect EY to be larger than EX, since the bus with the most students (50) has a higher chance of being selected than any of the other buses.

(b) To compute EX, we can use the law of total probability:

EX = (40/148)*40 + (33/148)*33 + (25/148)*25 + (50/148)*50

= 32.96

To compute EY, we need to take into account the fact that each bus has a different probability of being selected, since there are four buses and one driver is chosen at random. Let p1, p2, p3, and p4 be the probabilities of each bus being selected, respectively. Then we have:

p1 = 40/148, p2 = 33/148, p3 = 25/148, p4 = 50/148

The expected value of Y can be computed as:

EY = p140 + p233 + p325 + p450

= 0.270340 + 0.222933 + 0.168925 + 0.337850

= 38.62

Therefore, in this case, EY is larger than EX, which is consistent with our earlier reasoning.

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Complete question is;

A student scores 56 on a geography test and 267 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 22.

If the data for both tests are normally distributed, on which test did the student score better?

Answer:

The geography test is the one in which the student scored better.

Step-by-step explanation:

To solve this question, we will make use if the z-score formula to find the w test in which the student scored better. The z-score formula is;

z = (x - μ)/σ

Now, for geography, we are given;

Test score; x = 56

Mean; μ = 80

Standard deviation; σ = 20

Thus, the z-score here will be;

z = (56 - 80)/20

z = -1.2

Similarly, for Mathematics, we are given;

Test score; x = 267

Mean; μ = 300

Standard deviation; σ = 22

Thus, the z-score here will be;

z = (267 - 300)/22

z = -1.5

Since the z-score for geography is lesser than that of Mathematics, thus, we can conclude that the geography test is the one in which the student scored better.

The statement is false. When s decreases, k(s, w) will decrease more rapidly than when w increases.

Let's discuss it further below.

How do you prove that k(s, w) decreases more rapidly when s decreases than when w increases?

Let's break it down into three stages:

1. A relationship between s and k(s, w) can be created by considering a fixed w value. k(s, w) decreases as s decreases.

2. A relationship between w and k(s, w) can be created by considering a fixed s value. k(s, w) increases as w increases.

3. If s decreases and w increases simultaneously, the net effect on k(s, w) is determined by comparing the effect of each variation on k(s, w).

The effect of decreasing s on k(s, w) is to decrease it. When w increases, the effect on k(s, w) is to increase it. The impact of a combination of s decreasing and w increasing on k(s, w) is determined by comparing the effect of each variation on k(s, w).

Therefore, when s decreases and w increases, k(s, w) decreases more rapidly.

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Factors of the given expression are \((2x-5) ,(3x+2)\)

The given expression is:

\(6x^2-11x-10\)

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

\(6x^2-15x +4x-10\\\)

\(3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)\)

Therefore factors of the given expression are \((2x-5) ,(3x+2)\)

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Event A and B = 4

Event A or B = 2, 3, 4, 5, 6, 8

Complement of Event B = 1, 2, 7, 8

Event A: The marble selected has an even number.

The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.

Event B: The marble selected has a number from 3 to 6.

The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.

Event A and B:

The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.

Therefore, the outcome for Event A and B is: 4.

Event A or B:

The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.

Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.

Complement of Event B:

The complement of an event includes all the outcomes that are not part of the event.

In this case, the complement of Event B includes the numbers that are not from 3 to 6.

Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.

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Complete question

A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number on the marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

Event A and B =

Event A or B =

Complement of the event B=

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

25°

Step-by-step explanation:

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518 231 1565

33bi8R

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