16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look

Answer:

4

Step-by-step explanation:

it works on edgenutiy 2021

Answer:

Step-by-step explanation:

3

Answer:

6xy^2 + 5xy - 6y^2

Step-by-step explanation:

Multiply using the FOIL Method:

3x * 2x = 6x^2

3x * 3y = 9xy

-2y * 2x = -4xy

-2y * 3y = -6y^2

6xy^2 + 9xy - 4xy - 6y^2

Combine like terms:

9xy - 4xy = 5xy

The Answer:

6xy^2 + 5xy - 6y^2

PLEASE MARK IT AS BRAINLIEST IF IT CORRECT

Answer:

1. 24a + 40

2. 24 - 8d or -8d + 24

3. 18x - 63y

Step-by-step explanation:

1.

multiply the 8 by 3a then by 5

8(3a + 5)

24a + 40

2. multiply the 4 by the 6 and -2d

4(6 - 2d)

24 - 8d or -8d + 24

3. multiply the 9 by the 2x and -7y

9(2x-7y)

18x - 63y

Answer:

area of trapezium:

a+b divided by 2, times by the height.

so its 8+20=28.

28/2=14.

14*14=196.

area=196

Step-by-step explanation:

The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.  Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.

To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.

1 kilogram (kg) = 2.20462 pounds (lbs)

Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.

So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds

Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

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The power series for g(x) is e^2x, which converges absolutely for all x and conditionally for none. Both f(x)=e^x and g(x)=e^x satisfy the differential equation dy/dx=y, hence f(x)=g(x). Euler's Formula e^ix=cos(x)+i sin(x) is proven using the identity e^πi=-1.

The series defining g(x) is the power series for e^2x. Therefore, it converges absolutely for all x, and converges conditionally for no values of x.

Since f(x) = e^x, we have f'(x) = e^x = f(x). Similarly, g(x) = e^x for all x, so g'(x) = e^x = g(x). Hence, both f(x) and g(x) satisfy the differential equation dy/dx = y.

Since f(x) and g(x) both satisfy the same differential equation and have the same initial condition (y(0) = 1), it follows that f(x) = g(x) for all x.

Using the fact that e^ix = cos(x) + i sin(x) and Euler's identity e^πi = -1, we have

e^ix = cos(x) + i sin(x)

e^-ix = cos(-x) + i sin(-x) = cos(x) - i sin(x)

Adding the two equations, we get:

e^ix + e^-ix = 2cos(x)

Subtracting the two equations, we get:

e^ix - e^-ix = 2i sin(x)

Dividing the second equation by i and substituting e^πi = -1, we get:

e^ix - e^-ix = -2sin(x)

Solving for e^ix, we obtain:

e^ix = cos(x) + i sin(x)

Therefore, e^ix = cos(x) + i sin(x), which is Euler's Formula.

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Answer:

Octagon

Step-by-step explanation:

Formula for a polygon is :

Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.

Answer:

1962/18=109.

Division sign

Step-by-step explanation:

Answer:

1962 ÷ 18

Step-by-step explanation:

i answered in the comments before the other person

oh well

dum bots taking up answers

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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The statement "The line x=2 is perpendicular to the line y=0" is false. The line x=2 is a vertical line parallel to the y-axis, and it has no slope. The line y=0 is a horizontal line parallel to the x-axis and has a slope of 0.

To understand why the statement is false, we need to examine the concept of perpendicular lines. Two lines are perpendicular to each other if the product of their slopes is -1.

In the case of the line x=2, it is a vertical line that intersects the x-axis at x=2 and extends infinitely in both the positive and negative y-directions. Vertical lines have undefined slopes because the slope is calculated as the change in y divided by the change in x, and in this case, there is no change in x.

On the other hand, the line y=0 is a horizontal line that intersects the y-axis at y=0 and extends infinitely in both the positive and negative x-directions. Horizontal lines have a slope of 0 since there is no change in y.

To determine if two lines are perpendicular, we would need to compare their slopes. However, since the line x=2 has no slope, it cannot be perpendicular to any line. Therefore, the statement "The line x=2 is perpendicular to the line y=0" is false.

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For given function g(x) = x^4 - 2x^3 - 3x the value of x such that g'(x) = 12 is x = 2.24

In this question, we have been given a function g(x) = x^4 - 2x^3 - 3x

We need to find the value of x such that g'(x) = 12

First we find the derivative of given function g(x) with respect to x

g'(x) = 4x³ - 6x² - 3

When g'(x) = 12

4x³ - 6x² - 3 = 12

4x³ - 6x² - 3 + 3 = 12 + 3

4x³ - 6x² - 15 = 0

After solving given polynomial we get,

x = 2.24

Therefore,  the value of x is 2.24

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The vertex of the quadratic function is (2, -21), and the equation for the axis of symmetry is x = 2.

To find the vertex and the equation for the axis of symmetry of the quadratic function\(\(f(x) = -2x^2 - 8x + 3\)\), we can use the formula:

The x-coordinate of the vertex is given by\(\(x = -\frac{b}{2a}\)\), where the quadratic function is in the form \(\(f(x) = ax^2 + bx + c\)

\(\(f(x) = -2x^2 - 8x + 3\)\)

Comparing this with the general form, we have:

\(\(a = -2\),\(b = -8\)\)

Step 1: Calculate the x-coordinate of the vertex:

\(\(x = -\frac{b}{2a} = -\frac{-8}{2(-2)} = -\frac{-8}{-4} = 2\)\)

The x-coordinate of the vertex is 2.

Step 2: Substitute the x-coordinate of the vertex back into the function to find the y-coordinate of the vertex:

\(\(f(2) = -2(2)^2 - 8(2) + 3 = -8 - 16 + 3 = -21\)\)

The y-coordinate of the vertex is -21.

Therefore, the vertex of the quadratic function is (2, -21).

Step 3: Find the equation for the axis of symmetry:

The equation for the axis of symmetry is given by \(\(x = \frac{-b}{2a}\)\), where in this case, x = 2 (the x-coordinate of the vertex).

So, the equation for the axis of symmetry is x = 2.

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m represents the  number of miles driven.

In the context of this problem, 19.95 is the cost of renting the U-Haul in Chicago without any additional charges.

In the context of this problem, 1.49 represent the cost per mile of driving the U-Haul

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the area under the standard normal curve to the left of z=1.5 is approximately 0.9332.

To find the area under the standard normal curve to the left of z=1.5, we need to use a standard normal distribution table.

The table will provide us with the area to the left of a given z-score. The z-score associated with the area to the left of z=1.5 is 0.9332. Therefore, the area under the standard normal curve to the left of z=1.5 is approximately 0.9332.

In order to find the area under the standard normal curve to the left of z=1.5, we will need to use a standard normal distribution table. A standard normal distribution table is used to find the area under the curve to the left of any given z-score. The area under the standard normal curve to the left of z=1.5 is the same as the probability of getting a z-score less than 1.5.

To find the area under the standard normal curve to the left of z=1.5, we need to first find the z-score associated with that area. We can find this by using a standard normal distribution table, which will give us the area to the left of any given z-score.

Using a standard normal distribution table, we find that the area to the left of a z-score of 1.5 is approximately 0.9332.

Therefore, the area under the standard normal curve to the left of z=1.5 is approximately 0.9332.

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Answer:

y=5

Step-by-step explanation:

For two triangles to be congruent, the three angles of one triangle must be congruent to the three angles of the other triangle, AND the three side lengths of one triangle must be congruent to the three side lengths of the other triangle.

Notice that the three angles in each triangle have markings with little arcs.  This is shorthand to represent that the angles are congruent to other angles with the same number of arcs.  Therefore,

So, this means that for the sides to match up, it will be easier to imagine rotating the second triangle counter clockwise so it is in the same orientation.

Side EG of Triangle 1 and Side HK of Triangle 2 are both 31 mm.

Side GF of Triangle 1 and Side KJ of Triangle 2 are both 24 mm.

So, in order for the two triangles to be congruent, side EF of Triangle 1 and Side HJ of Triangle 2 must be the same length.

Since we're asked to find the value of the variable that results in congruent triangles, we'll set the expressions equal to each other

\(length_{EF}=length_{HJ}\)

\(7y-10=25\)

Add 10 to both sides...

\(7y=35\)

Divide both sides by 7...

\(y=5\)

The real-life distance between the ice rink and the theater is given as follows:

14 km.

The real-life distance between the ice rink and the theater is obtained applying the proportions in the context of the problem.

The scale of 2 cm to 7 km means that each 2 cm drawn on the map represent a real distance of 7 cm.

The distance is of 4 cm on the map, hence the actual distance between the ice rink and the theater is obtained as follows:

4/2 x 7 = 14 km.

The distance is of 4 cm on the map.

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The value of the function is f(5)=32.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here the given function is,

a(x)=5\(\vert x-10\vert\) +7

Now take a(x) as f(x) then,

=> f(x)=5\(\vert x-10\vert\) +7

Put x=5  into f(x) then,

=>  f(5) =5\(\vert5-10\vert+7\)

=> f(5) =\(5\vert-5\vert+7\)

=> f(5) = 5.5+7

=> f(5)=25+7 =32.

Hence the value of the function is f(5)=32.

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\(\\ \sf\longmapsto n(A\cup B)=n(A)+n(B)-n(A\cap B)\)

\(\\ \sf\longmapsto 5+8-3\)

\(\\ \sf\longmapsto 13-8\)

\(\\ \sf\longmapsto 10\)

Step-by-step explanation:

\(n(aub) = n(a) + n(b) - n(anb) \\ = 8 + 5 - 3 \\ = 8 + 2 \\ = 10 \\ thank \: you\)

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

1st equation

2x-y=17

x-y=10

Answer:

subtract equation 1 by 2 I,e

2x-y=17

-x+y=10

which is eqult to

x=7

Here is a huge hint:

sin(3x) = 3 sin (x) - 4(sin x)^3

sec (x) = 1/sin(x)

Take it from here.

The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.

Given is the equation -

sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)

We have the following equation -

{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)

Now, we know -

sin3x = 3 sin x - 4 sin³x

So, we can write -

(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)

sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)

(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}

(3 - 4sin²x) = 4cos²x - 1

3 + 1 = 4cos²x + 4sin²x

4 = 4(cos²x + 4sin²x)

4 = 4

1 = 1

LHS = RHS

Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

A syllogism is a chain of three statements.

Explanation:

A syllogism is a basic form of reasoning consisting of three statements. The first two statements are the premises, the third statement is the conclusion. Here is a first example, showing the way we are going to write syllogisms in these notes.

A sampling is a subset of an unit that is tested or examined in to make inferences about the larger population, whereas a census refers to the entire population, things, or information we're interested in analyzing.

Population pyramids that are expansive, constrictive, or stationary can be created using age-sex distributions.

The term "population" in the context of statistics means the whole set of individuals, objects, or metrics we're interested in investigating.

A sample, on the other hand, is a portion of a population that is actually measured or observed in order to draw conclusions about the full population.

Before we can determine the sample and population of a math issue, we must first select the topic we're interested in finding out.

For instance, if we were to look at worldwide average heights, the population would be made up of everyone alive today.

Choosing whether to investigate the whole population or simply a subset of it is the next stage.

If we are studying the overall community, no sample is necessary.

Hence, even if we are only looking at a small section of the population, we must collect a sample.

For instance, if we were to study the heights the people there, the population would be the whole of the United States.

We might measure the elevations of 1000 people randomly selected from the population, drawn from different regions of the United States, if we wished to sample this population.

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