What is the slope of (13,0) and (3,-2)

P/s: I'm not sure

Ok done. Thank to me :>

slope of the rode is 0.015.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The point with coordinate having same slope as with given coordinates can be plotted on the same line.

Here, it is given that :

When driving up a certain hill, we rise 15 feet for every 1000 feet that is :

for 15 feet up = 1000 feet forward

Now,

slope = upward distance / horizontal distance covered

slope = 15/1000

slope = 0.015

slope is a unitless quantity.

Therefore, slope of the rode is 0.015.

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Answer:

Sabrina necesito 8 horas para llegar a su casa mientras que Diana necesito solo 3.4 horas.

Step-by-step explanation:

debemos resolver la siguientes equaciones:

A + B = 11.4

65A + 50B = 690

donde:

A = tiempo que le toma a Sabrina llegar a su casa

B = tiempo que le toma a Diana llegar a su casa

A = 11.4 - B

65 (11.4 - B) + 50B = 690

741 - 65B + 50B = 690

741 - 690 = 65B - 50B

51 = 15B

B = 51 / 15 = 3.4 horas

A = 11.4 - 3.4 = 8 horas

Answer:

20 + 3x + 4y + 5z

Step-by-step explanation:

20 + 3*x + 4*y + 5*z

Answer:

20+3x+4y+5z

Step-by-step explanation:

Step-by-step explanation:

you can lable the horizontal axis as x axis and vertical axis as y axis. The red graph is for the first equation and the blue is for the second.

The value of x is 10.6 and y value is 15.2 for system of equations

y= -1/2x + 41/2 and 3x – 4y = 12

Two or more expressions with an Equal sign is called as Equation.

Given,

y= -1/2x + 41/2....(1)

3x – 4y = 12....(2)

We can solve this by using substitution method.

Plug in y vale in equation 2.

3x-4(-1/2x + 41/2)=12

3x+2x-41=12

5x-41-12=0

5x-53=0

Add 53 on both sides

5x=53

Divide both sides by 5

x=53/5

x=10.6

Now plug in x value in 1.

y=-1/2(10.6)+41/2

y=-5.3+20.5

y=15.2

Hence the value of x is 10.6 and y value is 15.2

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Answer:

71 is about 72, and 33% is about 1/3, so 33% of 71 is approximately 1/3 × 72 = 24.

.33 × 71 = 23.43, so the approximation is reasonable

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:The nearest thousand is 6,0000Step-by-step explanation:

Answer:

y=3x+1=4

y=5x-1=4

Step-by-step explanation:

DO THE MATH

Because of the clause,The Choice B is that the best answer because it most effectively combines the underlined sentences. The introductory clause clearly and concisely sets up the comparison between the “rebooting” of films and therefore the reworking of comic books. It also provides a transparent and logical referent for the phrase “This practice” within the second sentence.

According to the statement

we have to search out the right lines which are perfect to switch the given lines.

So, For this purpose, we all know that the

In the Gold into silver: "The reverse Alchemy" we've got to exchange the given lines from the passage.

And for this, we all know that the

Choices A, C, and D are incorrect because the combinations don't connect the 2 sentences logically and concisely to demonstrate the comparison between the “rebooting” of films and also the reworking of comic books due to the clause. additionally, none provides a transparent and logical referent for the phrase “This practice” within the second sentence.

So, due to the clause,The Choice B is that the best answer because it most effectively combines the underlined sentences. The introductory clause clearly and concisely sets up the comparison between the “rebooting” of films and also the reworking of comic books. It also provides a transparent and logical referent for the phrase “This practice” within the second sentence.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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A normal distribution is continuous, but a binomial distribution is not, and this difference is taken into account by the continuity correction factor. It is necessary to add a continuity correction factor when using a normal distribution to approach a binomial distribution. Just add or subtract, and you're done.

When a discrete probability distribution is approximated by a continuous probability distribution, the continuity correction factor is utilized. The continuum correction factor serves as a link between the discrete binomial and the continuous normal distribution.

By allowing us to evaluate the variability of occurrence or provide estimates of the likelihood that a specific event will occur, probability distributions aid in the modeling of our environment. They are a typical technique to explain and maybe anticipate the likelihood of an event.

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(xy)⁷

=(x⁷)(y⁷)

This is the simplified term.

Answer:

Step-by-step explanation:

Hope this helps

To interpret this line plot with fraction addition and subtraction, we need to understand how to read the plot and how to perform the necessary calculations with fractions.

Looking at the line plot above, we can see that each horizontal line represents one pound, and each vertical line represents one baby's weight. The numbers on the vertical axis show the weights of the babies in pounds. For example, there are two babies that weigh 6 pounds, three babies that weigh 7 pounds, two babies that weigh 8 pounds, and so on. To find the difference in weight between the two heaviest babies, we need to first determine which babies are the heaviest. From the line plot, we can see that the two heaviest babies are the ones at the top of the plot, which both weigh 9 pounds. Converting the weight of the heaviest baby to a fraction with a denominator of 72 gives us 9/1 x 72/72 = 648/72. Converting the weight of the second heaviest baby to a fraction with a denominator of 72 gives us 8/1 x 72/72 = 576/72. Now that both weights are expressed as fractions with a common denominator, we can subtract them to find the difference: 648/72 - 576/72 = 72/72 = 1

Therefore, the difference in weight between the two heaviest babies is 1 pound, or 1/72 of a hundredweight (since there are 100 pounds in a hundredweight). The answer we were asked to provide is a proper fraction, so we can express this as 1/72. In summary, to interpret a line plot with fraction addition and subtraction, we need to understand how to read the plot to determine the weights of the babies, how to perform the necessary calculations with fractions, and how to express our answer as a proper fraction if required.

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Answer:

your perimeter will be 40cm

The 4 sides of a square are the same length. Find the length of a side by taking the square root of the area.

Side = sqrt(100) = 10 cm

Perimeter = side length x 4

Perimeter = 10 x 4 = 40 cm

Step-by-step explanation:

in such problems with just equations we always need to have the main (optimization) equation or condition, and then usually some constraint equations.

the constant equations allow us typically to express one variable through another, until we have only one variable for the optimization equation. then we find the zeros of the first derivative of that functions and find the needed maximum or minimum if needed via the second derivative.

now if we have inequalities, it is even easier, I think.

we find the corners of the shaded area that must contain our minimum or maximum by finding the intersections of the delimiter lines. the optimum must be one of the corners.

and then we try the coordinates of the different corners in the optimization equation and see, which one delivers the highest or lowest value. and we are done.

a.

x + y <= 240

y >= 4x

b.

500x + 450y = profit

theoretically we have 3 corners to test

(0, 0)

(0, 240)

(48, 192)

(0, 0) is clearly the minimum, profit 0.

(0, 240) gives

450×240 = $108,000

(48, 192) gives

500×48 + 450×192 = 24000 + 86400 = $110,400

that is the maximum.

so, the farmer makes the most profit under the given constraints, if he plants 48 acres corn and 192 acres sprouts.

Answer:

hope you can understand

1. The null hypothesis is H₁: μ = 40 and the alternative hypothesis is H₁: μ ≠ 40

2. The level of significance, alpha (a), is 0.05

3. The test statistic is the z-statistic.

4. The rejection region consists of the values that fall outside the critical test statistic.

5. Tthe z-statistic is 2.88

6. We can reject the null hypothesis.

We are solving based on the provided steps:

Step 1. State the null and research hypotheses:

Step II. State the level of significance, alpha (a):

The level of significance, alpha (a), is 0.05, which relates to a 95% confidence level.

Step III. Select a sampling distribution and state the test statistic:

Since the sample size (n = 81) is greater than 30, we shall use the z-test.

The test statistic is the z-statistic.

Step IV. State the rejection region (critical test statistic):

Since we have a two-tailed test and an alpha level of 0.05, we divide the alpha value equally between the two tails, resulting in an alpha/2 (0.05/2 = 0.025).

To find the critical test statistic, we look up the z-value corresponding to the 0.025 significance level in the standard normal distribution table.

The rejection region consists of the values that fall outside the critical test statistic.

Step V. Then, we calculate the research test statistic to see if it falls in the rejection region:

The formula to calculate the z-statistic is:

z = (x-bar - μ) / (σ / √n)

Where:

Given:

x-bar = 44.1

μ = 40

σ = 12.8

n = 81.

Substitute the values:

z = (44.1 - 40) / (12.8 / √(81))

z = 4.1 / (12.8 / 9)

z = 4.1 / 1.422

z ≈ 2.88

Step VI: State your conclusion in terms of the problem:

After comparing the research test statistic to the critical test statistic from step 5, we find that the z-value of 2.88 falls in the rejection region.

In conclusion, we can reject the null hypothesis.

Hence,

a) Using the sample data from the 2010 GSS, there is evidence to suggest that the population mean workweek for workers is different from 40 hours per week.

b) The research test statistic, with a value of 2.88, falls within the rejection region when compared to the critical test statistic. So, the null hypothesis is rejected.

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Answer: "A. 3/8"

Step-by-step explanation:

STEP 1: Determine the probability the spinner lands on a multiple of 3. To do this, write out the numbers on the spinner (1-8), and cross out every non-multiple of three (1, 2, 4, 5, 7, 8), this will leave the numbers 3 and 6 unmarked. This being said, 2/8 (1/4) of the numbers on the spinner are multiples of 3.

STEP 2: Determine the probability the spinner lands in a dark green region. In order to do this, write the numbers on the spinner out (1-8), and circle every number representing a dark green region (1, 3, 5, 7). This should leave four numbers (2, 4, 6, 8) un-circled, meaning 4/8 (1/2) of the numbers represent a dark green region.

STEP 3: Add the two answers together (1/4 + 1/2), and you should get the answer 3/8 (A).

NOTE: When adding fractions, make sure they have the same denominators. For example, in this problem, changing 1/2 to 2/4, and doing 1/4 + 2/4, instead of 1/4 + 1/2.

Answer: 1/9

Step-by-step explanation: I do rsm it is correct from my hw

A soccer ball kicked from the ground with an initial velocity of 72 ft/s will be in the air for 4.5 seconds.

The time that a soccer ball will be in the air is determined by the equation:

t = (2 × v₀) / g

where:

t is the time in seconds

v₀ is the initial velocity in feet per second

g is the acceleration due to gravity, which is 32 feet per second squared

In this case, the initial velocity is 72 ft/s, so the time in the air is:

t = (2 × 72) / 32 = 4.5 seconds

Therefore, a soccer ball kicked from the ground with an initial velocity of 72 ft/s will be in the air for 4.5 seconds.

The time in the air will be longer if the initial velocity is higher, and shorter if the initial velocity is lower. The time in the air will also be shorter if the acceleration due to gravity is lower.

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Answer:

Lani saved during 12 months

Answer:

5/8

Step-by-step explanation:

Answer:

The correct option is;

a. Accountant

Step-by-step explanation:

The given data are;

Career,                                                                   Average Salary

Veterinarian,                                                          $56,000

Personal trainer,                                                    $18,000

Accountant,                                                           $43,000

Paralegal,                                                              $34,000

Architect,                                                               $50,000

Photographer,                                                       $19,000

Pharmacist,                                                            $44,000

Secretary,                                                              $30,000

Surveyor,                                                               $36,000

Webmaster,                                                           $49,000

Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.

The expansion of (x - y + z)³ using the binomial theorem is x³ - 3x²y + 3xy² - y³ + 3x²z - 6xy² + 3y²z - 3xz² + 3xyz + z³.

In our case, the expression (x - y + z)³ can be expanded using the binomial theorem. Let's go step by step:

Identify the values of a, b, and n in the binomial theorem.

In our expression, a = x, b = -y, and n = 3.

The binomial coefficients C(n, k) can be calculated using the formula C(n, k) = n! / (k! * (n-k)!), where "!" denotes the factorial function.

For our expansion, we need to find the binomial coefficients for k = 0, 1, 2, and 3. Let's calculate them:

C(3, 0) = 3! / (0! * (3-0)!) = 1

C(3, 1) = 3! / (1! * (3-1)!) = 3

C(3, 2) = 3! / (2! * (3-2)!) = 3

C(3, 3) = 3! / (3! * (3-3)!) = 1

Simplifying this expression, we get:

(x - y + z)³ = x³ + 3x²(-y) + 3x(-y)² + (-y)³ + 3x²z - 6xy² + 3y²z - 3xz² + 3xyz + z³

Finally, we can combine the like terms to simplify the expression further:

(x - y + z)³ = x³ + 3x²(-y) + 3x(-y)² + (-y)³ + 3x²z - 6xy² + 3y²z - 3xz² + 3xyz + z³

Simplifying each term, we have:

(x - y + z)³ = x³ - 3x²y + 3xy² - y³ + 3x²z - 6xy² + 3y²z - 3xz² + 3xyz + z³

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The remainder of the equation is \(\rm 28x+30\).

Given that,

When the equation \(\rm 3x^3-2x^2+4x-3\) is divided by \(\rm x^2+3x+3\).

We have to find,

The remainder of the equation?

According to the question,

The equation \(\rm 3x^3-2x^2+4x-3\) is divided by \(\rm x^2+3x+3\).

On the division of the polynomial, the remainder is,

\(\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}\)

Factorize the equation to convert this into the simplest form,

\(\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30\)

Now, the equation can be written as,

\(\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\\)

The relation between the divisor, remainder, and quotient is,

\(\rm = Quotient + \dfrac{Remainder}{Divisor}\)

On comparing with the equation,

The remainder becomes 28x +30.

Hence, The required remainder of the equation is \(\rm 28x+30\).

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Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

Answer:

Step-by-step explanation:

6 km = 6000 m

5 min = 300 s

6000m / 300s  = 20 m/s

Answer:

20 m/s

Step-by-step explanation:

The average speed of the fish can be calculated by dividing the distance traveled by the time taken.

First, we need to convert the distance from km to meters:

6 km = 6,000 meters

Next, we need to convert the time from minutes to seconds:

5 minutes = 5 × 60 = 300 seconds

Finally, we divide the distance traveled by the time taken:

Average speed = 6000 meters / 300 seconds = 20 m/s

So, the average speed of the fish is 20 m/s.