Find the gradient of the line segment between the points (-4,2) and (4,5).
Give your answer in its simplest form.

Answer:

City B is 4 degrees colder than City A

Step-by-step explanation:

When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.

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Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer:

it is axes

Step-by-step explanation:

Answer:

I guess its Axes and coordinate plane

Step-by-step explanation:

Answer:

y = - 2.5

Step-by-step explanation:

Given

0.5y = - 1.25 ( divide both sides by 0.5 )

y = \(\frac{-1.25}{0.5}\) = - 2.5

Answer:

y=-2.5

Step-by-step explanation:

0.5/0.5 y=-1.25/0.5

y= -2.5

This is an example of a correlation between the two variables, where they tend to change together in a predictable way, but it does not necessarily imply causation.

This is an example of a correlation between the two variables. When two variables are correlated, they tend to change together in a predictable way. In other words, when one variable goes up, the other tends to go up as well, or when one variable goes down, the other tends to go down as well.

It's important to note that correlation does not necessarily imply causation. Just because two variables are correlated, it does not mean that one causes the other. There may be other factors that influence both variables, or the correlation may be coincidental. To establish causation, a more rigorous study design and analysis is required.

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An equation for this line in the point-slope form will be y-7 = -2(x + 4).

What is the Point-slope form?

The equation of the straight line has its slope and given point. If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation. Point-slope is a specific form of linear equations in two variables:

y - y₁ = m(x - x₁)

Which is the required equation of a line in a point-slope form.

We need to find the equation of the line that passes through (-4, 7) and whose slope is -2.

Well, we will simply plug m = -2, x₁= -4, and y₁  = 7 into point-slope form.

y-y₁ = m(x-x₁)

Now substitute;

y-7 = -2(x - (-4))

y-7 = -2(x + 4)

Therefore, an equation for this line in the point-slope form will be y-7 = -2(x + 4).

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The student's lifetime value for a four-year degree at this college is $80,000.

The student's lifetime value for a four-year degree can be calculated as follows:

Determine the cost per semester: $10,000 per semester

Determine the number of semesters for a four-year degree: 4 years * 2 semesters/year = 8 semesters

Multiply the cost per semester by the number of semesters to get the total cost of tuition: $10,000 * 8 = $80,000

Therefore, the student's lifetime value for a four-year degree at this college is $80,000.

It is important to note that this calculation only considers the cost of tuition and does not take into account other costs such as room, board, books, and supplies, which can add significantly to the total cost of obtaining a degree.

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Answer: (2*3) = 6

(2*9) = 18       6+ 18 = 24

(3+9) = 12

Step-by-step explanation:

So whats missing is times 2 on the right side next to (3+9) *2

(2×3)+(2×9)=. (3+9)​*2

Answer:

x = 8

Step-by-step explanation:

You can solve the problem by first adding 8 to both sides (3x = 24), Then dividing both sides by 3 (x = 8).

Value of expression 1 + 1 = 2

Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.

Given expression,

1 + 1

+ is sign of Addition, Adding the numbers,

1 + 1 = 2

Hence, 2 is the value of expression 1 + 1.

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Answer:

the width is 3

Step-by-step explanation:

you divide the 4 by 12

Answer:

2 units

Step-by-step explanation:

Area = Length × Width of a rectangle

If Length = L

Width = L-4

So 12 units = L×(L-4)

12 = L^2 -4L

L^2 -4L -12=0

Simplify this equation

L^2 + 2L -6L -12 = 0

L( L+2) - 6(L+2) = 0

(L+2) (L-6) = 0

L+2 =0 Or L-6=0

L=-2 Or L= +6

But L can't take a negative value

therefore L= 6

Now if we substitute and check,

L× (L-4) = 6×2=12 units

width = 6-4 =2 units

analyze problem

from -30 to -12, so

-12-(-30)=18'

She will have to rise 18 feet

\(\text{Given that,}\\\\x^2 + \dfrac1{x^2} = 38\\\\\\(i)\\\\\left(x-\dfrac 1x \right)^2 = x^2 + \dfrac 1{x^2} - 2 \cdot x \cdot \dfrac 1x\\\\\\\implies \left(x-\dfrac 1x \right)^2 = 38 -2 = 36\\\\\implies x - \dfrac 1x = \pm\sqrt{36} = \pm 6 \\\\\\(ii)\\\\x^2 + \dfrac 1{x^2} = 38\\\\\\\implies \left(x^2 + \dfrac 1{x^2} \right)^2 = 38^2\\\\\\\implies x^4 + \dfrac 1{x^4} + 2\cdot x^2 \cdot \dfrac 1{x^2} = 1444\\\\\\\implies x^4 + \dfrac 1{x^4} + 2 = 1444\\\\\\\)

\(\implies x^4 +\dfrac 1{x^4} = 1444-2 = 1442\)

The probability that a standard normal random variable will take a value less than 1.05 is approximately 0.8528.

Probability is a mathematical concept that quantifies the likelihood or chance of an event occurring. It is a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To find the probability that a standard normal random variable is less than a certain value, use a standard normal table or use a calculator with a cumulative distribution function (CDF) for the standard normal distribution.

Look up that value in the standard normal table and find the corresponding cumulative probability.

Hence, p(z < 1.05) = 0.8528.

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The domain of the function (f∘g)(x) is (-∞, ∞)

A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes. This set is the values

that the function shoots out after we plug an x value in. They are the y values.

Consider this box as a function f(x) = 2x .

Data;

(f∘g)(x) = x + 2

The domain of the function (f∘g)(x) is (-∞, ∞)

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Answer:

y = 9x - 43

Step-by-step explanation:

First, find the slope using m = y2-y1/x2-x1.

m = -7 - 2/ 4-5

m= -9/-1

(negative multiplied by negative is positive)

m = 9

Plug in the slope into y = mx+b

^Using (5,2), substitute the x and y values, and use 9 for m.

2 = 9(5) + b

2 = 45 +b

(Subtract 45 from both sides)

-43 = b

The final answer is :

y = 9x + -43

y = 9x - 43

The solution to the system of equations is x = 3/2 and y = 7/4.

The given system of equations can be written as:

y = -x^2 + 4

y = 2x + 1

To solve this system of equations, we can use the substitution method. First, we'll substitute the expression for y in the second equation into the first equation. We can then solve the resulting equation for x.

In the first equation, \(y = -x^2 + 4\) . Substituting this expression into the second equation, we get:

\(-x^2 + 4 = 2x + 1\)

We can rearrange the terms on the left side of the equation to solve for x. To do this, we'll subtract 4 from both sides, then add x^2 to both sides:

-4 = 2x + 1 - 4

-4 + 4 = 2x + 1 - 4 + 4

0 = 2x - 3

Now, we'll divide both sides of the equation by 2 to solve for x:

0/2 = (2x - 3)/2

0 = x - 3/2

We can rearrange the terms on the right side of the equation to solve for x. To do this, we'll add 3/2 to both sides:

0 + 3/2 = x - 3/2 + 3/2

3/2 = x

Now that we have the value of x, we can substitute it into either equation to solve for y:

\(y = -x^2 + 4y = -(3/2)^2 + 4y = -(9/4) + 4\)

y = 7/4

Therefore, the solution to the system of equations is x = 3/2 and y = 7/4.

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The number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

The arrangement of the different things or numbers in a number of ways is called the combination.

The possible outcomes for dice with 16 sides:-

{ 1,2,3,4,5,6,...............16}

The possible outcomes for dice with 20 sides:-

{ 1,2,3,4,5,6,...............20}

So the number of the possible pairs will be:-

=   16   x    20

=   320  pairs.

Therefore the number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

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The given functions f(x) and g(x) are f(x)=−3x+4 and g(x)=−x 2
+4x+1. Following are the values of the functions:

f(0) = -3(0) + 4 = 0 + 4 = 4f(-3) = -3(-3) + 4 = 9 + 4 = 13g(-2)

= -(-2)² + 4(-2) + 1 = -4 - 8 + 1 = -11g(10) = -(10)² + 4(10) + 1

= -100 + 40 + 1 = -59f(31) = -3(31) + 4 = -93 + 4 = -89f(-37)

= -3(-37) + 4 = 111 + 4 = 115g(21) = -(21)² + 4(21) + 1 = -441 + 84 + 1

= -356g(-41) = -(-41)² + 4(-41) + 1 = -1681 - 164 + 1 = -1544f(p)

= -3p + 4g(k) = -k² + 4kf(-x) = -3(-x) + 4 = 3x + 4g(-x) = -(-x)² + 4(-x) + 1

= -x² - 4x + 1f(x + 2) = -3(x + 2) + 4 = -3x - 6 + 4 = -3x - 2f(a + 4)

= -3(a + 4) + 4 = -3a - 12 + 4 = -3a - 8f(2m - 3) = -3(2m - 3) + 4

= -6m + 9 + 4 = -6m + 13f(3t - 2) = -3(3t - 2) + 4 = -9t + 6 + 4 = -9t + 10

We have been given two functions f(x) = −3x + 4 and g(x) = −x² + 4x + 1. We are required to find the value of each of these functions by substituting various values of x in the function.

We are required to find the value of the function for x = 0, x = -3, x = -2, x = 10, x = 31, x = -37, x = 21, and x = -41. For each value of x, we substitute the value in the respective function and simplify the expression to get the value of the function.

We also need to find the value of the function for p, k, -x, x + 2, a + 4, 2m - 3, and 3t - 2. For each of these values, we substitute the given value in the respective function and simplify the expression to get the value of the function. Therefore, we have found the value of the function for various values of x, p, k, -x, x + 2, a + 4, 2m - 3, and 3t - 2.

The values of the given functions have been found by substituting various values of x, p, k, -x, x + 2, a + 4, 2m - 3, and 3t - 2 in the respective function. The value of the function has been found by substituting the given value in the respective function and simplifying the expression.

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Answer:

9. The 5 bags for $25 is a better deal

10. You would need $16.72

Step-by-step explanation:

9. Divide 25/5=5 and 42/7=6

The 5 bags for $25 is a better deal because it's the smallest answer.

10. Divide $12.54/6=$2.09 per book

Multiply $2.09*8=$16.72 for 8 books

Answer:

9. The 5 bags for $25.00 is the best offer.

10. 8 books is $16.72.

Step-by-step explanation:

9. Because you have to find out how much each bag costs so you divide the total cost by the ammount of bags. When you do this you get $5 dollars a bag for the 5 bags and $6 dollars a bag for the 7 bags.

10. You need to find out how much each book cost so you divide the amount of money by 6 and you get $2.09. Then you multiple 8 by 2.09 and you get 1672 but then you have to move the decimal to the left two times and you end up with $16.72.

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

2,4,5

Step-by-step explanation:

Answer:

26 - 11 = 15

Step-by-step explanation:

Answer:

138 degrees

Step-by-step explanation:

A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.

I explained as best and simple as I could, I hope I helped!!!

The measure of arc BEC is 134°. The correct option is the first option 134°

From the question, we are to determine the measure of arc BEC

In the given diagram,

Measure of angle C = 1/2 (measure of arc AB)

Reason: The measure of an inscribed angle is half the measure of the intercepted arc

∴ Measure of angle C = 1/2 (76°)

Measure of angle C = 38°

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

m∠A + 75° + 38° = 180°

m∠A + 113° = 180°

m∠A = 180° - 113°

m∠A = 67°

Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°. The correct option is the first option 134°

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1/4

Explanation: The chances of getting heads/tails (individually) is 1/2. The obvious equation here is 1/2 to the 2nd power.

Answer:1/4

Step-by-step:

He would have the chance to flip heads 1/2. Then the chance that he flipped tails after would be 1/2. Then you would multiple 1/2 x 1/2 = 1/4

Answer:

$530 is his weekly pay

Step-by-step explanation:

Multiply 13.25 by 40 and you will get the answer.