find the distance between each pair and points (-4,6) (3,-7)

an equal distance = arithmetic sequence

xn= a+d(n-1)⇒ x₁ = a

x₅ - x₁ = 80

x₁ + 4d - x₁ = 80

4d = 80

d = 20 cm

x₂₀ - x₁ = x

x₁ + 19d - x₁ = x

19d = x

19.20 = 380

Answer:

80.01>11.69n

Explanation:

100-19.99=80.01

she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.

Answer: (a): 162 (b):

Step-by-step explanation: Since Mr.Siva had 54 cups sold which is 3/9 all we have to do is multiply 3/9 to the point where its a whole so 3/9 x 3 is 1, whatever we do with this fraction we do with the cups he sold, so 54 x 3 is 162. Since we know that he had a total of 162 cups, all we have to do is subtract how many cups he sold in the morning which was 54. So 162 - 54 is 108. Hope this help! :)

Answer: The probability that a randomly chosen person from this group has type B is

✔ 3/25

.

The probability that a randomly chosen person from this group has type AB is

✔ 1/25

.

The probability that a randomly chosen person from this group has type B or type AB blood is

✔ 4/25

Given 3 ( 3 + 4k ) = 45

So, divide both sides by 3

3 + 4k = 45/3

3 + 4k = 15

subtract 3 from both sides

3 + 4k - 3 = 15 - 3

4k = 12

divide both sides by 4

k = 12/4 = 3

So, the value of k = 3

Answer:

Step-by-step explanation:

The perimeter of a quarter circle can be calculated by adding the length of the arc and the two radii that make up the quarter circle.

The length of the arc of a quarter circle is given by (πr)/2, where r is the radius of the quarter circle and π is approximately 3.142 (as given in the question).

So, for a quarter circle with a radius of 7 cm, the length of the arc would be:

(πr)/2 = (3.142 x 7)/2 = 10.997 cm (rounded to 3 decimal places)

The two radii that make up the quarter circle are each equal to the radius of the quarter circle, so the total length of the two radii would be:

2r = 2 x 7 = 14 cm

Therefore, the perimeter of the quarter circle would be:

10.997 cm + 14 cm = 24.997 cm (rounded to 3 decimal places)

So the perimeter of the quarter circle is approximately 24.997 cm. The digits given by the calculator will depend on the specific calculator used.

Answer:

it is commutative properties

Answer:

100 over 9

Step-by-step explanation:

Answer: 100/9

Step-by-step explanation:

Sothe non-parametric equation of the plane with the given normal vector and passing through the point (5, -6, 0) is: -5x + 6y + 6z + 61 = 0

In order to find the non-parametric equation of the plane, we need the normal vector and a point on the plane. The normal vector is given as (-5, 6, 6), and a point on the plane is (5, -6, 0).

The non-parametric equation of a plane is given by:

Ax + By + Cz = D

where (A, B, C) is the normal vector and (x, y, z) is a point on the plane. We can substitute the values into the equation to find the values of A, B, C, and D.

(-5)(x - 5) + (6)(y + 6) + (6)(z - 0) = 0

Expanding this equation:

-5x + 25 + 6y + 36 + 6z = 0

-5x + 6y + 6z + 61 = 0

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The scale factor of the smaller figure to the larger figure is 1.5.

In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).

Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:

Scale factor = side length of image/side length of pre-image

By substituting the given side lengths into the scale factor formula, we have the following;

Scale factor = 6/4

Scale factor = 1.5.

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30 10×3=30 that how you get it

Answer:

the answer is 75 percent

Step-by-step explanation:

y= -8/14x + 3/14 is the answer

Answer:

y=1.75x-3/14

Step-by-step explanation:

-14y=-8x+3

y=14/8x-3/14

y=1.75x-3/14

Answer:

Option 3

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

x² = (9.5)² + (10.5)²

x² = 200.5

x = √(200.5)

x = 14.16

x ≈ 14.2

Therefore, measure of the unknown side is 14.2 in.

Option (3) will be the correct option.

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

Answer:

c

Step-by-step explanation:

Answer:

6d-3

Step-by-step explanation:

The sampling distributions reach a normal distribution as sample sizes increase.

For the given statement in the question-

As sample sizes grow larger, sampling distributions reach a normal distribution.

The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).

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Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

The cost for the 6th pajama bought by Keli is given as $85.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The equation of the straight line from the given graph can be formed as below,

Take any two coordinates from the graph as (1, 10) and (2, 25) respectively.

Suppose the cost be y and the number of pajamas be x.

Now, the equation for the slope can be written as,

(y - 10)/(x - 1) = (25 - 10)/(2 - 1)

⇒ (y - 10)/(x - 1) = 15

⇒ y = 15x - 5.

Then, the cost of 6th pajama can be calculated by substituting x = 6 in the above equation as,

y = 15 × 6 - 5

  = 85

Hence, the cost of sixth pair of pajama is $85.

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The null hypothesis states that the proportion of first-generation college students is equal to or less than 50%, while the alternative hypothesis suggests that it is greater than 50%.

To test the claim that more than 50% of college students are first-generation students, we will perform a one-sample proportion hypothesis test using a significance level of 0.05. The null hypothesis states that the proportion of first-generation college students is equal to or less than 50%, while the alternative hypothesis suggests that it is greater than 50%. By comparing the sample proportion to the expected proportion under the null hypothesis, we can determine if there is evidence to support the claim.

The sample proportion of first-generation college students is calculated by dividing the number of first-generation students (516) by the total sample size (915). The sample proportion is approximately 0.564.

Under the null hypothesis, the expected proportion is 0.50, assuming that 50% or less of college students are first-generation students.

To conduct the hypothesis test, we calculate the test statistic z using the formula z = (p - P) / √((P(1-P))/n), where p is the sample proportion, P is the expected proportion under the null hypothesis, and n is the sample size.

In this case, we have p = 0.564, P = 0.50, and n = 915. Plugging these values into the formula, we find that the test statistic is approximately 3.07.

Using a standard normal distribution table or statistical software, we find the critical z-value for a one-tailed test at a significance level of 0.05 to be approximately 1.645. Since the test statistic (3.07) is greater than the critical z-value (1.645), we reject the null hypothesis.

Based on the test results, there is sufficient evidence to support the claim that more than 50% of college students are first-generation students at a significance level of 0.05.

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The graph of the function g(x) = −|x + 3| − 2 is added as an attachment

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

g(x) = −|x + 3| − 2

The above expression is an absolute value function that hs the following properties

Next, we plot the graph

See attachment for the graph of the function

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Answer:

a. 3.904×10^7

Step-by-step explanation:

I hope this helps.

Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

Answer:

5x

Step-by-step explanation:

4x plus 1x equals 5x.

Hope this helped, have a nice day! :)

Answer:

5x

Step-by-step explanation:

4x+1x

=x+x+x+x+x

inFinite many solutions

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The decimals that are equivalent to 5x10 +2x1/100 is: E. 50.02.

Given :

5 x 10 +2 x 1/100

Now let calculate or determine the decimal that are equivalent to 5 x 10 +2 x 1/100 :

Hence :

Decimal=(5 × 10) + (2 × 1/100)

Decimal=50+2/100

Decimal=50+0.02

Decimal=50.02

Based on the above calculation we can conclude that  5 x 10 +2 x 1 /100 is the same as 50.02 which in turn means that the correct option to the question is option E which is 50.02.

Therefore the decimals that are equivalent to 5x10 +2x1/100 is: E. 50.02.

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The complete question is:

which decimals are equivalent to ( 5 x 10) + (2 x 1/100) select all that apply A. 50.020 B. 50.002. c. 5.02. D. 50.20. E. 50.02

The correct statement is:

It is given that:

A membership committee of three is formed from four eligible members.

1) There are four ways to choose the committee.

This statement is true.

Since we have to choose 3 members out of the 4 members so we can use the method of combination.

2) There are three ways to form the committee if person D must be on it.

This statement is also true.

Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3) If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

There are 35 combinations possible.

4) If persons B and C must be on the committee, there are two ways to form the committee.

If B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5) If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.

So possible number of ways is 2.

Hence, the statement is false.

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Your question is incomplete. Please read below to find the missing content.

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If seven members are eligible next year, then there will be fewer combinations.

If persons B and C must be on the committee, there are two ways to form the committee.

If persons A and C must be on the committee, then there is only one way to form the committee.