hi guys! i need help with slopes please! so my problem is
(20,-3) (19,-20)
x1 y1 x2 y2

when i solved i got -17/-1, but my calculator says it's 17! i tried searching and it said to divide the fraction to get 17, but why do i have to divide? can someone please help me, thank u!

Answer:

$836.82

Step-by-step explanation:

You did not state what we had to do to solve, so I assumed you want to find out the total cost, right? If so, the total cost is $836.82

Inequality is 32.50x + $10.50 ≤ $160 and 4 people can go to the amusement park.

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Given that,

$160 = Amount of money they have

$10.50 = Parking Cost

$32.50 = Cost of tickets per person

Because they only have $160, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

32.50x + $10.50 ≤ $160

Solve the equation

$160 - $10.50 = $149.50 (149.50 is how much is left for tickets after subtracting the parking cost)

$32.50 x 4 = $130 (4 tickets can be bought for the price of $32.50)

$149.50 - $130 = $19.50 (19.50 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.
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Answer:

k = 7

m = 8

Step-by-step explanation:

the diagonals of a parallelogram bisect each other so:

k + 4 = 11

k = 7

m = 8

The greatest common factor (GCF) of two numbers is the largest number that divides evenly into both of them. It is not always the case that the GCF is an even number. In fact, it could be any positive integer, including 1.

For example, consider the numbers 15 and 25. The GCF of 15 and 25 is 5, which is an odd number.

Another example is the numbers 11 and 13. The GCF of 11 and 13 is 1, which is also an odd number.

So, the GCF of two numbers can be any positive integer, and it doesn't necessarily have to be an even number.

The greatest common factor (GCF) of two numbers is the largest number that divides evenly into both of them. In other words, it's the largest number that can be multiplied by another number to equal both of the original numbers. For example, the GCF of 12 and 18 is 6, because 6 * 2 = 12 and 6 * 3 = 18.

It's not a requirement that the GCF be an even number. It could be any positive integer, including 1. In the case of 15 and 25, the GCF is 5, which is an odd number. In the case of 11 and 13, the GCF is 1, which is also an odd number.

So, to summarize, the GCF of two numbers can be any positive integer, and it doesn't necessarily have to be an even number.

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Answer:

Ice would be the correct answer.

Answer:

if u want go to the doctor but use ice but if its to cold use a little heat not too much tho

Step-by-step explanation:

If you have injured your neck and are experiencing swelling, you should ice the area for at least 72 hours. After icing, you can use heat to help any lingering pain. Tight neck muscles and old injuries can benefit from heat only, as long as there isn’t any swelling.

We have proved that the expression \(Var(x) = E(x^2) - [E(x)]^2.\)

To prove that \(Var(x) = E(x^2) - [E(x)]^2\), where \(Var(x)\) represents the variance of a random variable x and E(x) represents the expected value of x, we can start by using the definition of variance:

\(Var(x) = E[(x - E(x))^2]\)

Expanding the square:

\(Var(x) = E[x^2 - 2x*E(x) + [E(x)]^2]\)

Using linearity of expectations, we distribute the expectation operator:

\(Var(x) = E(x^2) - 2E(x*E(x)) + E([E(x)]^2)\)

Now, let's focus on the term E(x*E(x)). Since E(x) is a constant with respect to the inner expectation operator, we can take it out:

\(E(x*E(x)) = E(x) * E(E(x))\)

The inner expectation, E(E(x)), is just the expected value of a constant, which is equal to that constant:

\(E(E(x)) = E(x)\)

Substituting this back into the equation, we have:

\(Var(x) = E(x^2) - 2E(x*E(x)) + E([E(x)]^2)\)

           \(= E(x^2) - 2E(x*E(x)) + E(x^2)\)

Now, consider the term \(E(x*E(x))\). This can be written as:

\(E(x*E(x)) = E(E(x^2|x))\)

This is the conditional expectation of \(x^2\) given x. However, when we take the unconditional expectation E, the conditional expectation collapses to the unconditional expectation of \(x^2\):

\(E(x*E(x)) = E(x^2)\)

Substituting this back into the equation, we get:

\(Var(x) = E(x^2) - 2E(x*E(x)) + E(x^2)\)

     \(= E(x^2) - 2E(x^2) + E(x^2)\)

     \(= E(x^2) - E(x^2)\)

     \(= E(x^2) - [E(x)]^2\)

Hence, we have proved that \(Var(x) = E(x^2) - [E(x)]^2.\)

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Answer:

Step-by-step explanation:

9.73

+

21.60

31.33

Answer:

  m∠B = 141°

Step-by-step explanation:

You have a heptagon with 6 angles given, and you want to know the missing measure of angle B.

An n-sided polygon has a sum of internal angles of ...

  (n -2)·180°

This 7-sided figure will have a sum of angles of ...

  (7 -2)·180° = 900°

The measure of the missing angle is found by subtracting the known angles from this sum. The attached calculator window shows the result is ...

  m∠B = 141°

Answer:

/B=141°

Step-by-step explanation:

Given,

/A=120°

/B=?

/C=148°

/D=(We take it as /1

/1+90=180

/1=180-90

/1=90°)

/E=142°

/F=130°

/G=129°

Sum of angles of a shape is determined by the Formula

(n-2)x180

7-2x180

=900°

/A+/B+/C+/D+/E+/F+/G=900°

120°+/B+148°+90°+142°+130°+129°=900°

759°+/B=900°

/B=900-759

/B=141°

Hope this helps u

Mark me Brainliest pls

Answer:

12 Days

Step-by-step explanation:

Let's make some equations out of what they give us

The first equation would be for the first box

90 - 2x

The first box has 90 spiders initially and 2 get removed everyday (each day is represented by variable x)

The second equation would be for the second box

44 + 2x

The second box has 44 spiders initially and 2 get added everyday

Now, we can set them equal to each other

90 - 2x = 44 + 2x

Solve

46 = 4x

x = 11.5

In 11.5 days the spiders would be equal. But this does not mean we are done. We have to find how many days the number of spiders in the second box will be greater than the number in the first box.

The first day that the number of spiders in the second box will be greater than the number in the first box is 12 days. We just rounded up to get the first whole day that it will be greater.

Check:

90 - 2(12) = 44 + 2(12)

90 - 24 = 44 + 24

66 = 68

90 - 2(11.5) = 44 + 2(11.5)

90 - 23 = 44 + 23

67 = 67

We see here that after 11.5 days there is 67 spiders in each box. We then see that after 12 days the second box has 68 spiders and the first box has 66 spiders.

Hope this helps!!

- Kay :)

a) The mean of this distribution is 7 min

b) The standard deviation is 4.0414 min

a) The mean is the midpoint between the ends or 7 min

variance is (b-a)^2/12 or 196/12 or 16.3333 min

b) standard deviation is sqrt(V)= 4.0414 min

the complete question is

a bus comes by every 14 minutes. the times from when a person arives at the bus stop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.

a) The mean of this distribution is

b) The standard deviation is

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a = 38

b = 58

c = 73

[use the Law of Cosines]

cos(A) = b² + c² - a² / 2bc

cos(B) = c² + a² - b ² / 2ca

cos(C) = a² + b² - c² / 2ab

[substitute the values]

∡A = 52.09

∡B = 31.12

∡C = 96.79

6 different people chosen from 7 can sit around the circular table in 840 ways.

Given that there are 7 people who have arrived for dinner.

But the circular table only seats 6.

Hence 1 person can be left out.

This can be done in 7 ways, which is a simple case of permutation.

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in this case in a linear or sequential sequence.

Now 6 people will have to sit on the circular table.

Now from the properties of combination we know that , if n people sit around a circular table, then they can sit in n! ways.

Therefore 6 people can sit around a circular table in 6! ways.

6! = 120

Therefore total number of ways = 120 × 7 = 840

Hence 6 different people chosen from 7 can sit around the circular table in 840 ways.

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Answer: Among the given choices, the largest one that could be used successfully in an epsilon-delta proof of lim (9x + 36) = 9 is:

C. 8 = 2ε

Step-by-step explanation:

To determine the largest choice of 8 that could be used successfully in an epsilon-delta proof, we need to find the maximum value of epsilon (ε) that satisfies the given limit statement.

In an epsilon-delta proof, for a given limit statement lim (9x + 36) = 9, we want to show that for any epsilon (ε) greater than 0, there exists a corresponding delta (δ) such that whenever 0 < |x - a| < δ (where 'a' is the value of x approaching), it implies |(9x + 36) - 9| < ε.

Let's consider each choice of 8:

A. 8 = B: This choice doesn't provide any information about epsilon (ε) and is unrelated to the limit statement.

B. 8 = C: Similarly, this choice doesn't provide any relevant information.

C. 8 = 2ε: Here, we have epsilon (ε) defined as 2ε. In this case, we can choose delta (δ) such that whenever 0 < |x - a| < δ, it implies |(9x + 36) - 9| < 2ε. Therefore, this choice of 8 could be used successfully in the epsilon-delta proof.

D. 8 = 3ε: With this choice, we would need to find a delta (δ) such that |(9x + 36) - 9| < 3ε. However, since the limit statement only requires |(9x + 36) - 9| < ε, this choice is unnecessarily restrictive. Therefore, it is not the largest choice that could be used successfully.

E. 8 = 9ε: Similar to choice D, this choice is overly restrictive and not necessary for the limit statement.

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Step-by-step explanation:

m<1(exterior angle) = (sum of two opposite interior angle) 50+70 = 120°.

hope this helps you.

Answer:

120 degrees

Step-by-step explanation:

50 + 70 = 120

180 - 120 = 60

180 - 60 = 120 degrees

What is Divisibility? When we say a number is divisible by another number, we mean that if we divide a whole number by another whole number that the result will be a whole number. For example, 267 is divisible by 9, since 267÷9=29 267 ÷ 9 = 29.

45/3= 15

48/3= 16

27/3= 9

18/3= 6

45/9= 5

48/9= 5.33333333333

27/9= 3

18/9= 2

The counter-example to show the conjecture wrong is 48

ANSWER:

9m is the answer

Check the picture below.

To find the length of AC in triangle ABC, we will use the Angle Bisector Theorem and the given information:
In triangle ABC, the bisector of angle A divides BC into segments BD and DC, with lengths of 28 units and 24 units, respectively. Given that AB has a length of 31.5 units, we want to determine the possible length of AC.

Step 1: Apply the Angle Bisector Theorem, which states that the ratio of the lengths of the sides is equal to the ratio of the lengths of the segments created by the angle bisector. In this case, we have:

AB / AC = BD / DC

Step 2: Plug in the known values:

31.5 / AC = 28 / 24

Step 3: Simplify the ratio on the right side:

31.5 / AC = 7 / 6

Step 4: Cross-multiply to solve for AC:

6 * 31.5 = 7 * AC

Step 5: Calculate the result:

189 = 7 * AC

Step 6: Divide both sides by 7 to find AC:

AC = 189 / 7

Step 7: Calculate the value of AC:

AC = 27 units

So, the length of AC in triangle ABC could be 27 units.

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The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

12·C

Step-by-step explanation:

2 * 6 = 12·C

Answer:

19 inch

Step-by-step explanation:

57÷3=19

19 inches as the ratio is 1:3

The length of JK is 10.4 units and length of J'H' is 3.1 units as the two triangles are similar

The triangles HJK and triangle H'J'K' are similar

We know that the sides of a similar triangle are proportional

Let us write a proportional equation to find JK and J'H'

JH/J'H' = HK/H'K' = JK/J'K'

12.4/J'H' = 9.6/2.4 = JK/2.6

12.4/J'H' = 4 = JK/2.6

Now equate each of the equations

12.4/J'H' = 4

12.4/4 =J'H'

J'H' = 3.1

Now 4 = JK/2.6

JK=4×2.6

JK=10.4

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The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

According to our question-

(7x – 6y) and (3x – 5y

Then the sum of the expressions will be

(7x – 6y) + (3x – 5y)

7x – 6y + 3x – 5y

10x – 11y

Hence, The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.

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Answer: 1

\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)

Step-by-step explanation:

The objective function that has the same slope (parallel) as the given function $4x + 2y = 20 is

option d. $2x + $4y = $20.

To determine which objective function has the same slope as $4x + 2y = 20, we need to rearrange the given equation into slope-intercept form, y = mx + b, where m represents the slope. In this case, we have:

$4x + $2y = $20

$2y = -$4x + $20

y = -2x + 10.

By comparing this equation with the slope-intercept form, we can see that the slope is -2. Therefore, we need to find the objective function with the same slope. Among the options, option d, $2x + $4y = $20, has a slope of -2 since its coefficient of x is 2 and its coefficient of y is 4 (2/4 simplifies to -1/2, which is the same as -2/1). Thus, option d is the correct answer.

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Answer:

Step-by-step explanation:

These options are in the middle.

Here are the options verified:

The approximate Ninety-Five (95%) Confidence Interval for the Mean Difference in heights between BRITISH MALES and FEMALES:

      (4.59,   5.61 )  INCHES

We will use the FORMULA for the CONFIDENCE INTERVAL of the DIFFERENCES between TWO INDEPENDENT MEANS, Which is given by:

       CI  =  ( x1  -   x2 )  ±   z  *  √s^2  1/n1  +  s^2  2/n2

       (1) - Calculate the difference between the means:

       x1  -  x2  =  68.2  -  63.1   =   5.1

     (2) - Calculate the Standard Error:

      √s^2 1/n1 + s^2 2/n2  =  √2.7^2/200  +  2.5^2/200

                                         =   √7.29/200 + √6.25/200

                                         =  √0.00677

                                         =  √0.2602

(3) - Find the Critical Value for a Ninety-FIVE (95%) Confidence Interval, (Using a standard regular/normal distribution table).

      z  =  1.96

(4) - Calculate the Confidence Interval:

CI  =  5.1 ± 1.96 * 0.2602 = (5.1  -  1.96  *  0.2602,  5.1  +  1.96  *  0.2602)

                                          = (4.5908,   5.6092)

The approximate Ninety-Five (95%) Confidence Interval for the Mean Difference in heights between BRITISH MALES and FEMALES:

      (4.59,   5.61 )  INCHES

I hope this helps you!

Answer:

30 ft

Step-by-step explanation:

\(C=\frac{n^2}{5} +175\\\\355=\frac{n^2}{5} +175\\\\180=\frac{n^2}{5}\\\\n^2=900\\\sqrt{n^2} =\sqrt{900} \\n=30\)