Find the slope of the line that passes through (-6,10) and (7,-10)

Answer:

The slope is 0

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Using the slope-intercept form, the slope is 0.

m = 0

(See the attachment below)

Hope this helps :)

Pls brainliest...

Answer: 165

Step-by-step explanation:

Exponential equation for decay :\(A= P(1-r)^t\) , where A is the value after t year, P = initial value.

As per given ,

P= 2378

t= 20 years

r = 12.5% = 0.125

Now ,

\(A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165\)

Hence, the population of the town in 2015 = 165

Answer:

43

Step-by-step explanation:

b) The mean is 19.

c) The standard deviation is 0.974.

d) The binomial probability is 20.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

n = 20,  p = 0.95,  q = 1 - 0.95 = 0.05

a)  There are only two results per shot and they are independent of each other. Each pitch is independent of the outcome of the other pitches.

b) To calculate the mean of X.

{ E(x) = np }

So, E(x) = 95% of 20

             = 19

c) The Standard Deviation is √npq

= √95/10

= 0.974

d) The binomial probability

p(x = 19) = 20! / 19!(20-19)!

               =20 / 1

                20

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Answer:

Hey there! So the square root of 38 can be simplified by breaking it down into simpler parts. We can use a technique called prime factorization. We need to find the largest perfect square that is a factor of 38 and extract it from the square root. So, we can express 38 as 219 and that means we have 2^2=4 as the largest perfect square. Therefore, we can simplify the square root of 38 as 2sqrt(19).

It can't be simplified anymore, but it gives us a more manageable form. Let me know if you have any more questions, I'm happy to help!

________________________________________________________

A perfect square is a number that can be written in the form of n^2 (n raised to the power of 2) for some whole number n. For example 4, 9, 16, 25 and 36 are perfect squares. A way to determine if a number is a perfect square is by taking the square root of that number, if the result is a whole number it's a perfect square. Also, you can check it by finding the prime factorization of the number, if each of the prime factors appears in even power, it's a perfect square.

There are a few techniques that can make simplifying square roots quicker and easier:

Recognizing perfect squares (as described above) and extracting them from the square root

Using prime factorization to simplify the square root

Recognizing when the square root can be written as a rational number (a fraction of two integers)

Another way to approach is to factorise the radicand and combine any pairs of identical factors out from the square root.

Please let me know if you have any other questions on this topic or any other topic I could help with.

√38 is the simplest representation of the square root of 38.

The square root of a number is a value that, when multiplied by itself, gives the original number.

In the case of √38, we are looking for a number that, when multiplied by itself, equals 38.

Since 6 multiplied by itself is 36 and 7 multiplied by itself is 49, we can conclude that the square root of 38 lies between 6 and 7.

We cannot find a whole number that satisfies the equation √38 = x, where x is an integer.

Therefore, we express the square root of 38 as an irrational number, meaning it cannot be expressed as a simple fraction or a terminating or repeating decimal.

Hence, √38 is the simplest representation of the square root of 38.

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The domain of the function \(f(x) = \sqrt(5 - 7x)\) is the set of all x-values less than or equal to -5/7 that is (-∞, -5/7]

To find the domain of the function \(f(x) = \sqrt(5 - 7x)\), we need to determine the values of x for which the expression inside the square root is defined.

Since the square root of a negative number is undefined in the real number system, we must ensure that \(5 - 7x \geq 0\) to avoid taking the square root of a negative value.

Solving the inequality:

\(5 - 7x \geq 0\\\)

First, subtract 5 from both sides:

\(-7x \geq -5\)

Then, divide both sides by -7, remembering to reverse the inequality sign:

\(x \leq -5/7\)

Therefore, the domain of the function \(f(x) = \sqrt(5 - 7x)\) is the set of all x-values less than or equal to -5/7.

In interval notation, the domain can be expressed as:

(-∞, -5/7]

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Answer:

One, four, and five

Step-by-step explanation:

I just got it right, and I hope you do too :)

The solution is Option A , Option D, Option E

The equation of line is y = ( - 1/2 ) x + 7/2 and the slope is m = ( -1/2 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as G = G ( -4 , 1 )

Let the second point be represented as H = H ( 2 , -2 )

The slope of the line between the points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -2 - 1 ) / ( 2 - ( - 4 ) )

On simplifying the equation , we get

Slope m = -3 / 6

Slope m = -1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Now , the line passes through the point J ( 1 , 3 )

Substituting the values in the equation , we get

y - 3 = ( -1/2 ) ( x - 1 )

On simplifying the equation , we get

y - 3 = ( -1/2 )x + 1/2

Adding 3 on both sides of the equation , we get

y = ( -1/2 )x + 7/2

So , the equation of line is y = ( -1/2 )x + 7/2

Substitute the value of x and y in the equation , we get

Let the point be A ( -3 , 5 )

when x = -3 and y = 5

y = ( -1/2 )x + 7/2

5 = (- 1/2) (- 3) +7/2

5 = 3/2 + 7/2

5 = 10/2

5 = 5

So , the point A lies on the line

Let the point be B ( 3 , 2 )

when x = 3 and y = 2

2 = (- 1/2) (3) +7/2

2 = -3 / 2 + 7/2

2 = 4/2

2 = 2

So , the point B lies on the line

Let the point be C ( 5 , 1 )

when x = 5 and y = 1

1 = (- 1/2) (5) +7/2

1 = -5 / 2 + 7/2

1 = 2/2

1 = 1

So , the point C lies on the line

Hence , the equation of line is y = ( -1/2 )x + 7/2

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Answer:

the answer you are looking for is C

Answer:

\(y = -x + 115\)

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

\((x_1,y_1) =(55,60)\)

\((x_2,y_2) =(45,70)\)

Calculate slope (m)

\(m = \frac{y_2 -y_1}{x_2 - x_1}\)

This gives:

\(m = \frac{70 - 60}{45 - 55}\)

\(m = \frac{10}{-10}\)

\(m = -1\)

The equation is the calculated using:

\(y = m(x - x_1) + y_1\)

This gives

\(y = -1(x - 55) + 60\)

Open bracket

\(y = -x + 55 + 60\)

\(y = -x + 115\)

Answer:

Step-by-step explanation:

The graph is a line Then it has an equation of the form : y = my + p

where m is the slope and p is the y-intercept.

the line crosses the y-axis at the point (0,6) then

p = 6

the line is going down then

m is negative

the only provided equation that verify: m < 0 and p = 6 is  y = -2x + 6

Answer:

y = -2x + 6

Step-by-step explanation:

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer: A

Step-by-step explanation:

X=1

Answer:

x = 9.4m

Hope this helps...Have a good day!!

Answer:

Son -- 10

Dad -- 30

Step-by-step explanation:

5  years ago the dad was 15 years older than his son.15 / 3 = 5. The son was 5 five years ago he would be 10 now because 5 years ago he was 5. Since the son is 10 the dad must be 30. I know this because the dad is 20 years older than his son.

Answer:

5 feet.

Step-by-step explanation:

if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.

Answer:

a . 50

Step-by-step explanation:

L + 40 + 90 = 180

L + 130 = 180

L = 180 - 130

L=50

Answer:

D

Step-by-step explanation:

   (1/3) / 8

= (1/3) * (1/8)

=1/24

Answer:

D

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

give me brainliest pls

Answer:

A = π(r)²

Step-by-step explanation:

The area of a circle is the inside of a circle. It can be found by multiplying pi by the radius raised to the power of 2 (squaring the radius).

Answer:

2.2

Step-by-step explanation:

This is because you can use long divison on paper, 25 goes in 50 2 times so it would be remaining with 5 and since you need no remainers bring down a zero which gives you an extra 50 and 25 goes in 50 2 times so 2.2

Answer:

d.

The actual price is 12.5% higher than the expected price

Step-by-step explanation:

The percent relation of the actual price and the expected price is 12.5%

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Price of the cast iron today = $28.35 x (166/100) = $47.06

The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%

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Answer:

the answer is .08 for your question

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

Answer:

No

Step-by-step explanation:

No, because s is less then 2. 7 is not less then 2.

‘Hope that helps! :)

Answer:

no

Step-by-step explanation:

s<2

s=7

7>2

The equivalent expression of the given expression is (x^3y + 5xy^2)/6

The expression is given as:

(1)/(6)x^(3)y+(5)/(6)xy^(2)

Rewrite properly as

1/6x^3y + 5/6xy^2

Take the LCM

So, we have

(x^3y + 5xy^2)/6

Hence, the equivalent expression of the given expression is (x^3y + 5xy^2)/6

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The number of ways a person can toss a coin 15 times so that the number of tails is between 4 and 11 inclusive is the product of the total number of ways and the sum of probabilities for k=4 to k=11 inclusive.

Binomial distribution refers to the issue of tossing a coin 15 times and getting a specific amount of tails. The following gives the binomial distribution formula:

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

Where P(X=k) denotes the likelihood that there will be k tails in n tosses, p is the likelihood that there will be one tail in a single toss, and C(n,k) denotes the number of combinations of n objects that will be picked up k at a time.

The total of probability for k=4 to k=11 inclusive must be calculated in order to find the solution. This is,

P (4), P (5), P (6), P (7), P (8), P (9), P (10) and P (11)

We can figure out and add up each of these probability using the technique above. As an alternative, we can compute the probabilities using a statistical software programme or a binomial probability table.

A person can flip a coin 15 times in a total of 32,768 different ways. By calculating the total number of ways by the sum of probabilities for k=4 to k=11 inclusive, one may get the number of ways that the number of tails is between 4 and 11 inclusive.

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There is a minimum value of 7.5 located at (x,y) = (3/4, 5/4).

We are given the following function and constraint equation to find the extremum value of f(x,y).

\($$f(x,y) = 3x^2 + 3y^2 - 3xy$$\) \($$x+y=2$$\)

Differentiating f(x,y) with respect to x, we get:

\($$\frac{\partial}{\partial x} f(x,y) = 6x-3y$$\)

Differentiating f(x,y) with respect to y, we get:

\($$\frac{\partial}{\partial y} f(x,y) = 6y-3x$$\)

Therefore, the system of equations that need to be solved is:

\($$\begin{aligned} 6x-3y&=0\\6y-3x&=0\\x+y&=2\end{aligned}$$\)

Simplifying the above equations, we get:

\($$\begin{aligned} 2x-y&=0\\2y-x&=0\\x+y&=2\end{aligned}$$\)

Solving the system of equations using any method, we get the values of x and y as:

\($$\begin{aligned} x &= \frac{3}{4}\\y &= \frac{5}{4}\end{aligned}$$\)

Now, to find the value of f(x,y), we substitute the values of x and y in the given function:

\($$f(x,y) = 3x^2 + 3y^2 - 3xy$$\)

\($$\Rightarrow f \left( \frac{3}{4},\frac{5}{4} \right) = 3 \left( \frac{3}{4} \right)^2 + 3 \left( \frac{5}{4} \right)^2 - 3 \left( \frac{3}{4} \right) \left( \frac{5}{4} \right) = \frac{15}{2}$$\)

Thus, the extremum value of f(x,y) located at (x,y) = (3/4, 5/4) is:\($$\text{minimum value of } \frac{15}{2} = 7.5$$\)

Therefore, the answer is: There is a minimum value of 7.5 located at (x,y) = (3/4, 5/4).

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Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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