Write the quotient as a mixed number.

35 ÷ 4 = 8 R3

Step-by-step explanation:

gradient = slope = ...

it is expressed as ratio

(y coordinate change / x coordinate change)

when moving from one point on the line to another.

here we see : whenever we increase x by 1, also y increases by 1. 2 and 2. 3 and 3. and so on.

no matter where we look or how far we look ahead, it stays the same.

that means

y coordinate change = x coordinate change.

therefore the slope or gradient is 1/1 = 1.

The gradient is the same for both pairs of points, we can conclude that the straight line passes through all three points and has a constant gradient of -1.

The gradient of a straight line is a measure of how steep the line is. It is also known as the slope of the line. The gradient is defined as the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line.

The formula for calculating the gradient is:

Gradient (m) = (change in y-coordinate) / (change in x-coordinate)

The gradient (or slope) of a straight line can be found by taking the difference between the y-coordinates of two points on the line and dividing it by the difference between the corresponding x-coordinates.

Using the given coordinates, we can calculate the gradient between the points (6,6) and (0,0) as:

gradient = (y2 - y1) / (x2 - x1)

= (0 - 6) / (0 - 6)

= -1

Similarly, the gradient between the points (0,0) and (-6,-6) is also -1.

Since the gradient is the same for both pairs of points, we can conclude that the straight line passes through all three points and has a constant gradient of -1.

To know more about coordinates visit:

https://brainly.com/question/16634867

#SPJ1

The expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.

To determine how much you would pay or have to be paid to take part in either Game 1 or Game 2, we need to calculate the expected value of each game. The expected value is the average outcome of the game if it were played many times, and it's calculated using the probabilities and potential winnings or losses.

For Game 1, the expected value (EV1) can be calculated as follows:

EV1 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV1 = ($30 x 0.5) + (-$1 x 0.5)
EV1 = $15 + (-$0.50)
EV1 = $14.50

For Game 2, the expected value (EV2) can be calculated similarly:

EV2 = (Win amount x Probability of winning) + (Loss amount x Probability of losing)
EV2 = ($2000 x 0.5) + (-$1900 x 0.5)
EV2 = $1000 + (-$950)
EV2 = $50

Now that we have the expected values, we can determine how much to pay or be paid to take part in each game. Since the expected value for Game 1 is $14.50, you would be willing to pay up to $14.50 to participate in the game. For Game 2, with an expected value of $50, you would be willing to pay up to $50 to participate in the game.

To know more about "Probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

On dividing the circumference and the diameter of our Jack-o-Lantern we will get π.

A Jack-o-Lantern can be considered spherical in shape.

The circumference of a #D shape is the intersection of the 3D shape with any plane passing through its center.

Hence the circumference of a jack-o-lantern will be the perimeter of the circle that has been cut through its center.

Let the radius of our Jack-o-lantern be r cm.

The formula of a circumference of a sphere is 2πr

where r is the radius of the sphere.

The diameter of a sphere is twice its radius.

Therefore, the diameter of our jack-o-lantern will be

2r cm.

By dividing the circumference and the diameter we get

2πr cm / 2r cm

= π

To learn more about 3D Shapes visit

https://brainly.com/question/21623450

#SPJ4

Answer:

Step-by-step explanation:

This is the answer key but have no clue how to answer step by step sorryyyy

Here are the updated balances after each transaction: Charlie Tallman, Capital: $6200.00, Insurance Expense: $1200.00, Accounts Payable - Athletic Supply: $2000.00, Supplies: $2775.00 and Cash: $4225.00

Let's keep track of each transaction and calculate the new balance for each account after each recorded transaction.

Initial account balances:

Charlie Tallman, Capital: $0.00

Insurance Expense: $0.00

Accounts Payable - Athletic Supply: $0.00

Supplies: $0.00

Cash: $0.00

a. Received cash from owner, Charlie Tallman, as an investment, $8000.00.

Charlie Tallman, Capital: $8000.00

Cash: $8000.00

b. Paid cash for insurance, $1200.00.

Cash: $8000.00 - $1200.00 = $6800.00

Insurance Expense: $1200.00

c. Bought supplies on account from Athletic Supply, $2500.00.

Supplies: $2500.00

Accounts Payable - Athletic Supply: $2500.00

d. Paid cash for supplies, $275.00.

Cash: $6800.00 - $275.00 = $6525.00

Supplies: $2500.00 + $275.00 = $2775.00

e. Paid cash on account to Athletic Supply, $500.00.

Cash: $6525.00 - $500.00 = $6025.00

Accounts Payable - Athletic Supply: $2500.00 - $500.00 = $2000.00

f. Paid cash to owner, Charlie Tallman, for personal use, $1800.00.

Cash: $6025.00 - $1800.00 = $4225.00

Charlie Tallman, Capital: $8000.00 - $1800.00 = $6200.00

Here are the updated balances after each transaction:

Charlie Tallman, Capital: $6200.00

Insurance Expense: $1200.00

Accounts Payable - Athletic Supply: $2000.00

Supplies: $2775.00

Cash: $4225.00

To know more about transaction:

https://brainly.com/question/24730931

#SPJ3

Check out the screenshot.

Answer: polar form

Step-by-step explanation:

Answer: Simplified:

1. =7x−7y

2. =11p−11q

3. =4x+12y

4. =3x+11y

5. =2p+10q

6.=x−y

7.=5p−5q

Factors:

1. 8p(−q+3r+4s)

2. 5r(−2a+7c+5d)

3. 5r(−a+3c−2d)

4. 3a(bd+27b+9c)

5. 5l(−x+3y+5z)

6. 9a(−b+4c+5d)

BRAINLIEST PLEASE? <3 hope this helps:)

Step-by-step explanation:

Answer:

k = -0.4

Step-by-step explanation:

Step 1: Write equation

2k + 9 = 7 - 3k

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

2(-0.4) + 9 = 7 - 3(-0.4)

-0.8 + 9 = 7 + 1.2

8.2 = 8.2

Answer:

k = -0.4

Step-by-step explanation:

there is the answer i got it from my test!:) have a great rest of your day!

Answer:

4x+2=22

4x+2-2=22-2

4x=20

4x/4=20/4

x=5

Answer:

37.2093%

Step-by-step explanation:

(V2−V1)|V1|×100

=(118−86)|86|×100

=3286×100

=0.372093×100

=37.2093%change

=37.2093%increase

Answer:

no./0=undefined

0/no.=zero

Answer:

57

Step-by-step explanation:

Straight line is 180 degrees

x+2x+9=180

3x=171

x=171/3

x=57

pls mark as brainliest

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

learn more about probability here

brainly.com/question/28009432

#SPJ4

There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

For similar question on vectors.

https://brainly.com/question/28028700  

#SPJ8

The simplified expression is x² + 2x - 15.

We are given a mathematical expression. The expression has two terms. The first term is (x + 5) and the second  term is (x - 3). The terms are multiplied by each other to obtain the final expression. Let the resulting expression be represented by the variable "E". The expression has been solved below.

E = (x + 5)(x - 3)

We will use the distributive property.

E = x*(x - 3) + 5*(x - 3)

E = x*x - x*3 + 5*x - 5*3

E = x² - 3x + 5x - 15

E = x² + 2x - 15

Hence, the expanded and simplified form of the given expression is x² + 2x - 15.

To learn more about expressions, visit :

https://brainly.com/question/14083225

#SPJ1

Considering the given line and plane, it is found that:

1. Points E and F are colinear to point D.

2. Another name for line p is line AB, as these two points form the line.

3. The intersection of line r and plane K is at point X.

4. One point non-coplanar to plane K is of W.

Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.

Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.

The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.

Item 4

A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.

More can be learned about lines and planes at https://brainly.com/question/1655368

#SPJ1

To show that j(x) and k(x) are inverse functions, we show that the following condition holds.

Similarly:

Therefore, they are inverses.

Answer:

answer: 9/40

Step-by-step explanation:

18 ÷ 2 = 9 and 80 ÷ 2 = 40 and you can't go any further so 9/40 is the answer.

Answer: was there supposed to be a picture attached to this question ?

Step-by-step explanation:

Answer:

The value is \(Y = 204 \ yards\)

Step-by-step explanation:

From the question we are told that

   The height of the flag pole is  \(h = 66 \ yards\)

   The position of the cables on the pole with respect to its top is  \(x = 6 \ yards\)

   The position of the cable from the base of the pole is  \(w = 32 \ yards\)

    The number of cables is n =  3

Generally the length of one of the cable is obtained using Pythagoras theorem as follows

       \(u = \sqrt{ (h - x)^2 + w^2}\)

=>    \(u = \sqrt{ (66 - 6)^2 + 32^2}\)

=>    \(u = 68 \ yards\)

Generally the total number of yards of cable that will be required is mathematically represented as

       \(Y = 3 * u\)

=>     \(Y = 3 * 68\)

=>     \(Y = 204 \ yards\)

To find the probability of selecting a blue ball first and a yellow ball second (with replacement) from a box containing 3 red balls, 5 yellow balls, and 2 blue balls.

The probability of selecting a blue ball on the first draw is 2/10, as there are 2 blue balls out of a total of 10 balls in the box.

Since we are replacing the ball after each draw, the probability of selecting a yellow ball on the second draw is also 5/10, as there are still 5 yellow balls remaining in the box.

To find the probability of both events occurring, we multiply the probabilities together:

Probability of selecting a blue ball first = 2/10

Probability of selecting a yellow ball second = 5/10

Probability of both events occurring = (2/10) * (5/10) = 1/10

Therefore, the probability of selecting a blue ball first and a yellow ball second (with replacement) from the given box is 1/10.

Learn more about multiply here:

https://brainly.com/question/620034

#SPJ11

The minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126).

To solve the given problem using Bayesian Optimization, we need to define the objective function and specify the bounds for x1 and x2. The objective function is:

f(x1, x2) = (4 - 2.1x1^2 + (x1^4)/3)x1^2 + x1*x2 + (-4 + 4x2^2)x2^2

The bounds for x1 and x2 are x1 ∈ [-3, 3] and x2 ∈ [-2, 2].

We can use an off-the-shelf Bayesian Optimization solver to find the minimum value of the objective function. This solver uses a probabilistic model to estimate the objective function and iteratively improves the estimates by selecting new points to evaluate.

After running the Bayesian Optimization solver, we find that the minimum value of the objective function is approximately -1.0316. This minimum value occurs at (x1, x2) = (0.0898, -0.7126).

Using Bayesian Optimization, we have found that the minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126). Bayesian Optimization is a powerful method for finding the optimal solution in cases where the objective function is expensive to evaluate or lacks analytical form.

To know more about value , visit;

https://brainly.com/question/14316282

#SPJ11

1) The statement of Lin is correct.

2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches

(b) When k = 3/4, area of the new triangle = 56.25 square inches.

Given that,

A triangle has area 100 square inches.

It's dilated by a factor of k = 0.25.

When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.

So new area of the triangle after the dilation with the original triangle having base = b and height = h is,

Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle

Here original area = 100 square inches.

k = 0.25

New area = (0.25)² 100 = 6.25 square inches

So the correct statement is that of Lin.

Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.

2) (a) When k = 9,

Area of the new triangle = 9² (100) = 8100 square inches

(b) When k = 3/4

Area of the new triangle = (3/4)² (100) = 56.25 square inches

Hence the areas are found.

Learn more about Scale Factor here :

https://brainly.com/question/29464385

#SPJ1

( 0, 5) , ( 1, 3) , (2, 1) are the only ordered pair of positive integer(x, y) that satisfy Linear inequality  2x+ y ≤ 5

The given linear inequality is 2x + y ≤ 5

This is a question of linear inequality

Linear inequality is solved as linear equality and than the signs are taken care of

if x= o

2(0) + y = 5

y = 5

if x= 1

2(1) +y = 5

2 + y= 5

y =3

If x= 2

2( 2) + y = 5

y=1

Hence, ( 0, 5) , ( 1, 3) , (2, 1) are the only ordered pair of positive integer(x, y) that satisfy Linear inequality 2x+ y ≤ 5

The correct question is how many ordered pairs of positive integers (x, y) is 2x + y ≤ 5?

To know more about Linear inequality - https://brainly.com/question/11897796

#SPJ1

From the problem, we have the formula :

Solving for h in terms of T and r will be :

The answer is :

Step-by-step explanation:

Pascal is a unit of pressure (or stress)     it is  a   N/m^2