What is the y-intercept?
(20,0)
0 (0, 18)
(18,0)
O (0,20)

Answer:

x² + 2x + 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 4x + 5 + x² - 2x - 2 ← collect like terms

= x² + 2x + 3

The equation in slope-intercept form of the line passing through the given points is \(y = -5x + 37\)

Given the following points:

To write an equation in slope-intercept form of the line passing through the given points, we would use the following formula;

\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)

Substituting the points into the formula, we have;

\(Slope. \;m = \frac{12\; - \;2}{2\; - \;7}\\\\Slope. \;m = \frac{10}{-5}\)

Slope, m = -5

Next, we would find the intercept:

The standard form of an equation of line is given by the formula;

\(y = mx + b\)

Where:

Substituting the values, we have:

\(2 = -5(7) + b\\\\2 = -35 + b\\\\b = 35 + 2\)

b = 37

Now, we would write the equation in slope-intercept form:

\(y = -5x + 37\)

Therefore, the equation in slope-intercept form of the line passing through the given points is \(y = -5x + 37\)

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Answer:

Step-by-step explanation:

(12 - 2)/(2 - 7)= 10/-5= -2

y - 2 = -2(x - 7)

y - 2 = -2x + 14

y = -2x + 16

Answer:

$3.60

Step-by-step explanation:

The sales tax on the flowers would be $3.60, which is 6% of the cost of the flowers ($59.95 x 0.06 = $3.60). Therefore, the total cost of the flowers including tax would be $63.55 ($59.95 + $3.60).

Fewer than 4 patients would arrive in one hour approximately 10.6% of the time.

To find the percentage of time when fewer than 4 patients arrive in one hour, we need to calculate the cumulative probability of the arrival rate. We can use a Poisson distribution to approximate the probability. In this case, the average arrival rate is 5.9 patients per hour.

We can then calculate the probability of having 0, 1, 2, or 3 patients using the Poisson distribution formula. Summing up these probabilities will give us the percentage of time when fewer than 4 patients arrive. By performing the calculations, we find that the percentage is approximately 10.6%.

Understanding the probabilities associated with arrival rates is crucial for managing resources and capacity in settings like hospitals. By analyzing the probabilities, healthcare professionals can make informed decisions regarding staffing, resource allocation, and emergency preparedness.

It helps in ensuring efficient and effective operations while providing timely and appropriate care to patients.

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Answer:

true

Step-by-step explanation:

they are the same, but they are positioned in other ways and or places

Answer:

True

Step-by-step explanation:

If they are congruent then they have the same side lengths, if they have the same side lengths then they also have the same area and perimeter

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-12 + 2x = 5 - 3 (2x - 5)

-12 + 2x = 5 × -6x + 15

-12 + 2x = -6 + 20

2x = -6x + 32

8x = 32

x = 4

Answer:

17, 19

Step-by-step explanation:

Prime numbers' only factors are 1 and itself

Answer:

17 & 19

Step-by-step explanation:

you can multipy 3x5 to get 15 so thats not it

you can multiply 8x2 to get 16 so its not prime

you can multiply 9x2 and 6x3 so thats not it either

1 is the only thing that can go into 17 besides itself and 1 is the only thing that can go into 19 besides itself

After answering the presented question, we can conclude that As a equation result, the value of x is 34.

An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

We can see from the diagram that PQ is parallel to BC and that the line segments PQ and BC overlap at point O.

As a result, we have:

angle QPO stands for angle. 70° angle = ABC QOP stands for angle. ACB = 110°

angle AOB = angle - 180 ACB - ABC angle = 180 - 70 - 110 = 0

This indicates that points A, O, and B are collinear and that angle AOB is a straight angle, implying that angles AOP and POB are supplementary angles.

We may use this data to calculate the value of x:

AOP angle + POB angle = 180

(3x - 10) + (2x + 20) = 180

5x + 10 = 180

5x = 170

x = 34

As a result, the value of x is 34.

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The probability density function (PDF) for the random variable U = Y₁Y₂, where Y₁ and Y₂ are independent random variables uniformly distributed on (0, 1), can be found using the method of transformation.

How can we determine the probability density function for U = Y₁Y₂?

To find the PDF of U, we need to consider the transformation function. Since U = Y₁Y₂, we can express Y₁ = U/Y₂. Now, we can find the joint probability density function of U and Y₂ and use it to derive the PDF of U.

The joint PDF of U and Y₂ is obtained by multiplying the individual PDFs of Y₁ and Y₂, as they are independent. Since Y₁ and Y₂ are uniformly distributed on (0, 1), their PDFs are both equal to 1 within the interval (0, 1) and 0 elsewhere.

By applying the transformation method, we can express the joint PDF of U and Y₂ as f(u, y₂) = 1/y₂. To find the PDF of U, we need to integrate this joint PDF with respect to Y₂, considering the appropriate range of Y₂ values.

After integrating f(u, y₂) with respect to Y₂ over the range (0, 1), we obtain the PDF of U as f(u) = -ln(u) for 0 < u < 1.

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Answer:

.99

18.99

Step-by-step explanation:

The answer to the first one is o.99 bc you would change 6.6% to a decimal and that would be 0.066 then you would add one to it and multiply it by 15 so the equation would look like this 1.066*15=0.99

The answer to the second one is 18.99 bc you would add 20% to 6.6% to get 26.6% and then you would change that into a decimal and add one to it to get 1.266 then multiply it by 15 to get 18.99

Answer:

120 cm^2

Step-by-step explanation:

15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width

Answer:

120 Square centimeters

Step-by-step explanation:

A = bh = 15×8 = 120

9514 1404 393

Answer:

  $7350

Step-by-step explanation:

The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...

  $105,000(0.84)(1/12) = $105,000(0.07) = $7,350

Your after-tax monthly income is $7350.

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:

They are the same

Step-by-step explanation:

A to B is 3cm = S to T is 3cm

B to C is 4.5 cm = T to U is 4.5 cm

A to C is 110 degrees = U to S is 110 degrees

you can also just rotate the STU to make ABC

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:b

Step-by-step explanation:

A system of equation is 1680mi3hr = p−w×600×2hr -p + w  for a jet airliner travels 1680 miles in 3hours with a tail wind.

Let p be  the speed of the jet airliner

and w  be the speed of the tail wind

It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get

1680mi3hr = p−w×600×2hr = p + w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation, we use

200mph = p - w

Add w to both sides:

p = 200mph + w

Using the value of x, we can found the value of w using system of equations.

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

On dividing by 2:

50mph = w

So the speed of the tail wind is 50mph.

Therefore, 200mph = p - 50mph

Add 50mph on both sides:

250mph = p

Hence, speed of jet airliner is 250mph.

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\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

Answer:

y=1

Step-by-step explanation:

Answer:1

Step-by-step explanation: 7y = 7

divide both sides by 7 to isolate y

y = 1

32

Step-by-step explanation:

32

Answer:

the answer is 1/5 x as a approximate equation

Step-by-step explanation:

Answer:

The correct answer is B. The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatter plots.Apr 30

Step-by-step explanation:

hope you get it right

The SI units of the proportionality constant G is Newton \(Kg^{-2} m^2\)

Gravitational force is given by Newton's law of gravitation which states that every particle of matter in the cosmos is drawn to every other particle by a force of attraction that varies directly with the product of their masses and is inversely proportional to the square of the distance or degree of separation from each other.

F = G \($ \frac{m_1 m_2}{r^2}\)

Upon rearranging the terms we get,

G = \($\frac{F r^2}{m_1 m_2}\)

Where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is the length.

Force has the SI units kg · m/s2

The SI units of the proportionality constant G

SI Unit of G = \($\frac{(\text { Newton })\left(\mathrm{m}^2\right)}{\mathrm{kg} ^2}\)

= Newton \(Kg^{-2} m^2\)

Therefore the units are Newton \(Kg^{-2} m^2\)

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Newton's law of universal gravitation is represented by F = G \($ \frac{m_1 m_2}{r^2}\) where F is the gravitational force, \(m_{1}\) and \(m_{2}\) are masses, and r is a length. force has the SI units kg· m/s2. what are the SI units of the proportionality constant G?

Answer:

56 cups

Step-by-step explanation:

If Mrs. Arsenault's dog needs 14 cups per 7 days, then we simply need to find how many "groups of 7 days" are in 28, and then multiply by 14, since for each of these 7 days, 14 cups are needed.

Dividing 28 by 7 results in 4, which we then multiply by 14 to get 56 cups which will be needed for 28 days.

I attached a diagram that further illustrates this point.

Step-by-step explanation:

The equation, in standard form, of a parabola that models the values in the table is y = 4x2 - 3x + 5.

Answer:

x = 12; m<ABC = 76

Step-by-step explanation:

The two angles whose measures are given form a linear pair. Therefore, they are supplementary angles, and their measures add up to 180 degrees.

8x - 20 + 116 - x = 180

7x + 96 = 180

7x = 84

x = 12

The angle with measure 8x - 20 and angle ABC are vertical angles. That means that their measures are equal.

m<ABC = 8x - 20 = 8(12) - 20 = 96 - 20 = 76

Answer: x = 12; m<ABC = 76