Find the slope between the points (-3,-7) and 2,1)

The unitary method is used to find the unit value of any quantity.

(a)The human heart pumps 300 quarts/hour.

(b) The human heart pumps 4.730 liters/minute.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

Reading on the label is 5quarts/min.

Since, 60 min = 1 hour

Use unitary method to get,

1 min = 1 / 60 hour.

Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)

                                                                         = 5 × 60

                                                                         =  300

Since, 1 quart = 0.946 liter

The pumping of blood in liter/minute = 0.946 × 5

                                                               = 4.730.

Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.

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Answer:

The answer is "183  yards"

Step-by-step explanation:

\(Drive \ 1= 180 \ yards \\\\Drive \ 2= 170 \ yards\\\\ Drive\ 3= 195 \ yards \\\\Drive \ 4= x \ \ yards \\\\\)

Using formula:

\(\to \text{average of number}=\frac{sum \ of \ number}{total\ number}\\\\\to 182 =\frac{180+170+195+x}{4}\\\\\to 4 \times 182 =545+x\\\\\to x= 728-545\\\\\to x=183\)

\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

Answer:

The answer is 11.56 Euro.

The mean hourly snowfall in simplest form as a fraction or mixed number is 1 1/4 centimeters per hour.

Difference in snowfall = 8 centimeters - 3 centimeters

= 5 centimeters

Difference in time = 6 PM - 2 PM

= 4 hours

Mean hourly snowfall = Difference in snowfall / Difference in time

= 5/4 centimeters per hour

= 1 1/4 centimeters per hour

Therefore, the mean hourly snowfall in simplest form as a fraction or mixed number is 1 1/4 centimeters per hour.

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Answer:

Step-by-step explanation:

7=c/3-1

add 1 to both sides

8=c/3

to get rid of the 3, multiply both sides 3

24=c

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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Answer:

1. 13x+4        2.   -6x-7      3.  -8x-7      4.   7x+3/x+2     5.  -3        9x2+24x+15/3x+2   6.

Step-by-step explanation:

number 4 is a fraction answer so put 7x+3 at the top x+2 at the bottom

number 6 is a fraction answer so 9x2+24x+15 at the top rest at the bottom

also, 2 is the exponent for number 6

sorry, I didn't do number 7 it's kinda complicated.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

10

Step-by-step explanation:

The square root of a number x is, by definition, a number y such that y2=x . In your case, it is immediate to find out that 102=100 , which fits the definition, and thus the square root of 100 is 10.

Answer:

D

Step-by-step explanation:

Can i get brainiest Sorry if im wrong <3

The product of 2p 7 3p2 4p 3 is 756p7.

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

Step-by-step explanation:

Given expression:

Solve to get the power:

Your answer is D.

Answer

12x-9x-45 (put a 2 above the x on the 12)

Step-by-step explanation:

(2x-9)(x+5)

2x(x) = 2x

2x(5) = 10x

-9(x) = -9x

-9(5) = -45

2x^2+10x^2-9x-45

2x^2+10x^2 = 12x^2

12x^2-9x-45

Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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On solving the provided question, we can say that - the volume of the cylinder will be V = 3.14 * 20*20*50 = 62800

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

volume of the cylinder -

V = \(\pi r^2h\)

r = 40/2 = 20

h = 50

V = 3.14 * 20*20*50 = 62800

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Answer:

Y=2x-2

2x is the slope

-2 is the y intercept

Step-by-step explanation:

SOLUTION

If 60% of the were females out of 230, that means

hence the answer is 92

A 4/4 ARM will have a fixed interest rate for the first 4 years, after it will be adjusted every 4 years.

The first number in an ARM (Adjustable Rate Mortgage) indicates the number of years the interest rate will remain fixed.

The second number represents how often the interest rate will be adjusted after the initial fixed period.

A 4/4 ARM will have a fixed interest rate for the first 4 years, after  it will be adjusted every 4 years.

1/4 ARM indicates a fixed interest rate for only one year, after it will be adjusted every 4 years.

4/1 ARM indicates a fixed interest rate for the first 4 years, after it will be adjusted every year.

1/1 ARM indicates a fixed interest rate for only one year, after it will be adjusted every year.

The length of time the interest rate will be fixed is indicated by the first number in an ARM (Adjustable Rate Mortgage).

How frequently the interest rate will be modified following the initial fixed term is indicated by the second number.

For the first four years of a 4/4 ARM, the interest rate is fixed; after that, it is revised every four years.

A 1/4 ARM denotes an interest rate that is set for just one year before being changed every four years.

A 4/1 ARM has an interest rate that is set for the first four years and then adjusts annually after that.

A 1/1 ARM denotes an interest rate that is set for just one year before being modified annually after that.

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The expression when evaluated is 17

From the question, we have the following parameters that can be used in our computation:

a = 2, b = 3, c = 4 and d = 12

Also, we have

20 - 2b/a

Substitute the known values in the above equation, so, we have the following representation

20 - 2b/a = 20 - 2 * 3/2

Evaluate

20 - 2b/a = 17

Hence, the solution is 17

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Answer:

x=5

Step-by-step explanation:15x - 10x -2 = 23

5x= 23 = 2

5x = 5

x=5

Answer:

X=5

Step-by-step explanation:

15x - 2 = 10x + 23

5x - 2 = 23

5x = 25

x = 5

Hope this helps. Pls give brainliest.

To show that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps, we need to demonstrate that for every open set U in X × Y, the sets π₁(U) and π₂(U) are open in X and Y, respectively.

Let U be an open set in X × Y. We can write U as the union of open sets U = U₁ × U₂, where U₁ is an open set in X and U₂ is an open set in Y. Since U is open, every point (x, y) in U has an open neighborhood contained within U.

Now, consider the image of U under the projection map π₁: X × Y → X. The set π₁(U) is the collection of all x-coordinates of the points in U. For any point x' in π₁(U), there exists a point (x', y') in U. Since U is open, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the x-coordinate, N₁, is an open neighborhood of x' contained within π₁(U). Therefore, π₁(U) is open in X.

Similarly, for the projection map π₂: X × Y → Y, we can show that π₂(U) is open in Y. For any point y' in π₂(U), there exists a point (x', y') in U. By a similar argument as above, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the y-coordinate, N₂, is an open neighborhood of y' contained within π₂(U). Therefore, π₂(U) is open in Y.

Since this holds for an arbitrary open set U in X × Y, we have shown that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps.

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Answer:

ML = √[¼ (EC)²]

Step-by-step explanation:

ML² = ½(QR)²

QR² = ½(EC)²

so, ML² = ¼ (EC)²

=> ML = √[¼ (EC)²]

The equation of the line ML is given by \(ML = \frac{AC}{2\sqrt{2} }\)   .

Thus, the equation of the line ML is given by \(ML = \frac{AC}{2\sqrt{2} }\)   .

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Answer:

You can get 10 chesse pizzas and then you can get 1 meat pizza.

Step-by-step explanation:

Sorry if that wasn't what you were looking for. Hope this helped!

Answer:

6 meat pizzas and 4 cheese pizzas = $56

Step-by-step explanation:

(a) To find the conditional PDF of Y given the event A, we need to use the formula: \(f(Y|A) = f(Y and A)/P(A)\) and integration method.

We know that Y has an exponential distribution with a parameter \(λ = 0.35\), so its PDF is: \(f(Y) = λe^(-λy), for y ≥ 0\). To find f(Y and A), we need to calculate the probability that both events occur: \(f(Y and A) = P(Y < 2 and Y = y) = P(Y < 2) * P(Y = y)\) =\(∫0^2 λe^(-λy) dy = -e^(-0.7y) from 0 to 2 = e^(-1.4) - 1\)

The probability of event A is: \(P(A) = P(Y < 2)\)= \(∫0^2 λe^(-λy) dy\)= \(-e^(-0.7y)\)from 0 to 2 = \(e^(-1.4) - 1\)

Therefore, the conditional PDF of Y given event A is:

\(f(Y|A) = f(Y and A)/P(A) = (λe^(-λy))/(e^(-1.4) - 1), for 0 ≤ y < 2\)

\(f(Y|A) = 0, for y ≥ 2\)

(b) The conditional expected value of Y given event A is:

\(E(Y|A) = ∫0^2 yf(Y|A) dy = ∫0^2 y(λe^(-λy))/(e^(-1.4) - 1) dy\)

Using integration by parts, we get:

\(E(Y|A) = [-y*e^(-0.35y)/(2-2e^(-1.4))] from 0 to 2 + ∫0^2 e^(-0.35y)/(2-2e^(-1.4)) dy\)

\(E(Y|A) = [-y*e^(-0.35y)/(2-2e^(-1.4))] from 0 to 2 + [-20/(7e^(1.4)-7)]\)

\(E(Y|A) = 1.2276\)

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The 90% confidence interval for the population mean is 78.1905<x<81.8095

The formula for calculating the confidence interval is expressed as:

CI = x ± z*s/√n

Given the following parameters

mean "x" = 80

z = 1.645

s = 5.5

n = 25

Substitute

CI = 80 ± 1.645*5.5/√25

CI = 80 ± 1.8095

CI = {78.1905, 81.8095}

Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095

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Answer:

8

Step-by-step explanation:

10 + 8 = 18

18 x 2 = 36

Answer:

So we know the sum of two numbers, let them be x and y, is equal to 36:

x + y = 36

And on of them, for example, y, is equal to 10:

x + 10 = 36

Now, the only thing we need to do is solving the equation to find x:

x + 10 = 36

We pass the 10 substracting to the right:

x = 36 - 10

And now, we substract:

x = 26

Now we know one number is 10 and the other is 26, so we can verify we have done all correctly

26 + 10 = 36 (TRUE)

Now we know we have done the exercise well.