what is the slope of the line that passes through the points (-8,6) and (-8,2) in simplest form ​

Answer:

47052806.5418

Step-by-step explanation:

Honestly I just used a calculator...

Hope this helped tho

To prove that the sum of the interior angles of a convex n-sided polygon is (n-2) times 180 degrees, we can use the fact that any polygon can be divided into n-2 triangles by drawing n-3 non-intersecting diagonals from any one vertex.  Each triangle has interior angles that sum to 180 degrees, so the sum of the interior angles of the polygon is (n-3) times 180 degrees plus the sum of the interior angles of the last triangle. Since the last triangle is formed by connecting the two endpoints of the last diagonal with the vertex from which all the other diagonals were drawn, it has one angle that is the same as the vertex angle of the polygon (the angle between the two sides that the diagonal connects) and two angles that are supplementary to the angles adjacent to the vertex angle.

Therefore, the sum of the interior angles of the last triangle is equal to the vertex angle plus 180 degrees. Substituting this into the previous equation, we get:
sum of interior angles of polygon = (n-3) x 180 degrees + vertex angle + 180 degrees
Simplifying this expression, we get:
sum of interior angles of polygon = (n-2) x 180 degrees + vertex angle
Since the vertex angle of any convex polygon is the same for all vertices, we can say that the sum of the interior angles of a convex n-sided polygon is (n-2) times 180 degrees.  Therefore, we have proved that the sum of the interior angles of a convex n-sided polygon is (n-2) times 180 degrees, assuming that the sum of the interior angles of a triangle is 180 degrees.

To learn more about Interior Angles of Polygon : https://brainly.com/question/30291513

#SPJ11

Answer:

It will take 6 minutes for the bathtub to be filled.

Step-by-step explanation:

\(\left[\begin{array}{ccccc}time&hot&cold&total&full\\1&2/30&3/30&5/30&under\\2&4/30&6/30&10/30&under\\3&6/30&9/30&15/30&under\\4&8/30&12/30&20/30&under\\5&10/30&15/30&25/30&under\\6&12/30&18/30&30/30&filled\\7&14/30&21/30&35/30&over\\8&16/30&24/30&40/30&over\\9&18/30&27/30&45/30&over\\10&20/30&30/30&50/30&over\end{array}\right]\)

The expanded form of the expression is ln(a²b⁵) - ln(c⁷).

To expand the expression 2ln(a) + 5ln(b) - 7ln(c), we can use the properties of logarithms. The property we'll use is the logarithm of a product, which states that ln(ab) = ln(a) + ln(b). Applying this property, we can rewrite the expression as:

2ln(a) + 5ln(b) - 7ln(c) = ln(a²) + ln(b⁵) - ln(c⁷)

Next, we can use another property of logarithms, the logarithm of a quotient, which states that ln(a/b) = ln(a) - ln(b). Using this property, we can further simplify the expression:

ln(a²) + ln(b⁵) - ln(c⁷) = ln(a²b⁵) - ln(c⁷)

Therefore, the expanded form of the expression is ln(a²b⁵) - ln(c⁷).

To expand the expression log₂(x¹y³√2), we can use the properties of logarithms. The first expression we'll use is the power rule, which states that logₐ(b^c) = clogₐ(b). Applying this property, we can rewrite the expression as:

log₂(x¹y³√2) = 1log₂(x) + 3log₂(y) + 1/2log₂(2)

Simplifying further, we have:

log₂(x) + 3log₂(y) + 1/2(1)

Therefore, the expanded form of the expression is log₂(x) + 3log₂(y) + 1/2

For more questions on expression

https://brainly.com/question/1859113

#SPJ8

The sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.

To achieve a margin of error of 0.4 hours with a 99% level of confidence, you need to gather a sample size of 621 bacteria. The formula to calculate the sample size is given by:
n = [(Zα/2)2 · σ2] / (E2)
where n is the sample size, Zα/2 is the z-score, σ is the population standard deviation, and E is the margin of error.
For the given example, Zα/2 = 2.576, σ = hours, and E = 0.4. Plugging these values in the formula, we get n = 621. Thus, the sample size required to achieve a margin of error of 0.4 hours with a 99% level of confidence is 621.

Learn more about standard deviation: https://brainly.com/question/475676

#SPJ11

The formula to calculate the volume of a rectangular prism is length × width × height.

To find the length of one side of the cube, we can use the formula for the surface area of a cube.

Step 1: Determine the number of faces on a cube.

A cube has six faces.

Step 2: Calculate the area of one face of the cube.

The total surface area of the cube is given as 150 cm². Since there are six faces, the area of one face can be found by dividing the total surface area by the number of faces:

Area of one face = Total surface area / Number of faces

Area of one face = 150 cm² / 6 = 25 cm²

Step 3: Calculate the length of one edge of the cube.

The area of one face of the cube is equal to the length of one edge squared. Therefore, we can find the length of one edge by taking the square root of the area of one face:

Length of one edge = √(Area of one face)

Length of one edge = √(25 cm²) = 5 cm

Thus, the length of one side of the cube is 5 cm.

Learn more about area

brainly.com/question/30307509

#SPJ11

Answer:

Step-by-step explanation:

Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:

(x - 3)^2

and the roots are found by setting this equal to zero and solving for x:

(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3

a) there are two equal roots:  {3, 3}

b) the roots {3, 3} are rational

c) the roots {3, 3) are real

If you want to use the quadratic formula, proceed as follows:

1.  Identify the coefficients of the quadratic:  {1, -6, 9}

2. Find the discriminant b^2 - 4ac:  It is (-6)^2 - 4(1)(9) = 36 = 36 = 0

   As a general rule, if the discriminant is zero, the quadratic has two equal, real roots.  These roots are rational:  3 can be rewritten as 3/1, which is a ratio.

Answer:

Step-by-step explanation:

ratio of pencil by ball pen

pencil=25 per score

ball pen =12 per 10

10 pens 12rs

12÷10=6/5

20 pencils 25rs

25÷20=5/4

ratio=6/5÷5/4

6/5×4/5

24/25

Answer:

1:5

Step-by-step explanation:

If a pack of 10 ball pens cost $12, then each ball pen must cost 12/10 = $1.20. The ratio of $0.25:$1.20 simplifies down to 1:5 (ans).

Answer:

£510

Step-by-step explanation:

5% of 3400 is 170. SInce she gets that much money every year, after 3 years she'll have 3*170 = £510.

Answer: Simple Interest = PRT

P= 3400

R = 5% = 5/100

T = 3

=> 3400 × 5/100 × 3 = 510

=》3400 + 510 = 3910

Step-by-step explanation:

If a  traveler is walking on a moving walkway airport. The traveler's speed off the walkway is 5 ft/sec and the speed of the moving walkway is 3 ft/sec.

Speed can simply be defined as how fast an object move.

Let t represent the traveler's speed in ft/sec

Let w represent the walkway's speed in ft/sec

So,

t-w =2

t+w=8

Add the equation

2t =10

Divide both side by 2t

t= 10/2

t=5fr/sec ( traveler's speed )

Speed of moving walkway

t+w =8

5+w=8

w=8-5

w=3ft/sec

Therefore the traveler's speed off the walkway is 5 ft/sec and the speed of the moving walkway is 3 ft/sec.

Learn more about speed here:https://brainly.com/question/13943409

#SPJ1

Answer:

Summary:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

Step-by-step explanation:

Since Total workers = Permanent + Temporary workers,

w = 44 + t.

Hence when t = 5, w = 44 + 5 = 49.

In a one-tail hypothesis test where you reject h0 only in the upper tail

-1.2910  is the p-value.

P value = P (z > 1.70) = 1 - P(2<1.7) = 0.0446

P value = P (z > -2.44) = 0.0073

t< n-1 = -1.2910

A p-value is a statistical measure used to test a hypothesis against observed data. The p-value measures the probability of getting the observed result given that the null hypothesis is true. The lower the p-value, the higher the statistical significance of the observed difference.

For null hypothesis significance tests, the p-value is the probability of obtaining an extreme test result that is at least as extreme as the actually observed result, given that the null hypothesis is true.

Learn more about p-value here: https://brainly.com/question/4621112

#SPJ4

Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

Standard form: 7x + 5y = −35 where A = 7, B = 5, and C = -35.

Step-by-step explanation:

The standard form, Ax + By = C, where A, B, C are constants (must be integers) and A is positive. In order to turn the constant A in your original equation into a positive integer, we can multiply both sides of the equation by -1:

(−1) (−7x − 5y) = 35 (−1)

Then, you'll have the following standard form:

7x + 5y = −35 where A = 7, B = 5, and C = -35.

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.

To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.

Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.

Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.

The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).

Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).

To learn more about combinations click here : brainly.com/question/20211959

#SPJ11

The equation of the line that passes through A and C will be y = x + 1. Then the correct option is D.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

On a coordinate plane, point A(2, 3), point B(-2, 1), point C(-4, -3), and point D(4, -5).

The equation of the line that passes through A and C is written as,

(y + 3) = [(3 + 3) / (2 + 4)](x + 4)

y + 3 = x + 4

y = x + 1

The equation of the line that passes through A and C will be y = x + 1. Then the correct option is D.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ1

Answer:

I aso don't know yrr what can i do yrr

The forecast for the next period when the actual demand turned out to be 278 will be 294 units.

The method of forecasting entails creating assumptions based on historical and current data. These might then be contrasted with what transpires.

Ft = 290, Tt = 8, α = 0.40, δ = 0.50, At = 278. Then the forecast for the next period will be

FITt = Ft + Tt

       = 290 + 8

       = 298 units

Ft + 1 = FITt + α(At − FITt)

        = 298 + 0.40(278 − 298)

        = 298 − 8

        = 290 units

Tt + 1 = Tt + δ(Ft + 1 − FITt)

         = 8 + 0.50(290 − 298)

         = 8 − 4

         = 4 units

FITt + 1 = Ft + 1 + Tt + 1

            = 290 + 4

            = 294 units

The forecast for the next period will be 294 units.

More about the forecast link is given below.

https://brainly.com/question/19687390

#SPJ1

The ordered pair which does not satisfy the equation f ( x ) = ( 1/2 ) x - 7 is

A ( 2 , 8 )

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 be represented as A

Now , the value of A is

f ( x ) = ( 1/2 ) x - 7

The value of f ( x ) = y

So , the ordered pair will be of the point A ( x , y )

a)

( 1 , -6 1/2 )

The value of the point A ( x , y ) = A ( 1 , -6 1/2 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

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

y = ( 1/2 ) x - 7

-6 1/2 = ( 1/2 ) 1 - 7

-6 1/2 = 1/2 - 7

-6 1/2 = -6 1/2

Therefore , the ordered pair A ( 1 , -6 1/2 ) satisfies the equation

b)

( 2 , 8 )

The value of the point A ( x , y ) = A ( 2 , 8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

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

y = ( 1/2 ) x - 7

8 = ( 1/2 ) 2 - 7

8 = 1 - 7

8 ≠ -6

Therefore , the ordered pair A ( 2 , 8 ) does not satisfy the equation

c)

( -2 , -8 )

The value of the point A ( x , y ) = A ( -2 , -8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

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

y = ( 1/2 ) x - 7

-8 = ( 1/2 ) ( -2 ) - 7

-8 = -1 - 7

-8 = -8

Therefore , the ordered pair A ( -2 , -8 ) satisfies the equation

d)

( 0 , -7 )

The value of the point A ( x , y ) = A ( 0 , -7 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

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

y = ( 1/2 ) x - 7

-7 = ( 1/2 ) ( 0 ) - 7

-7 = 0- 7

-7 = -7

Therefore , the ordered pair A ( 0 , -7 ) satisfies the given equation

Hence , the ordered pair A ( 2 , 8 ) does not satisfy the equation

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

To learn more about pattern block click here

brainly.com/question/10064829

#SPJ4

Answer: you didnt show any graphs but it should be plotted like this

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

A)

y=3x+5

The entry fee is 5, and the fee per ride is 3, without specifying the number of rides.

B)

y=3(5)+5

y=15+5

y=20

C)

44=3x+5

-5       -5

39=3x

/3    /3

13=x

-hope it helps

Answer:

a) 3x+5

b)3(5)+5=20

c)13

Step-by-step explanation:

hope this helps brainliest appreciated

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

Answer:

yes

Step-by-step explanation:

12/15 simplified by 3 is 4/5 and 8/10 simplified by 2 is also 4/5

Donna deposits $700 into an account that pays simple interest at a rate of 2% per year. Donna will be paid $28 in interest in the first 2 years.

To calculate the interest, we use the formula:

Interest = Principal × Rate × Time.

In this case, the principal (initial deposit) is $700, the rate is 2% (or 0.02), and the time is 2 years.

Plugging these values into the formula, we get:

Interest = $700 × 0.02 × 2 = $28.

Therefore, Donna will earn $28 in interest in the first 2 years.

Learn more about simple interest here:

https://brainly.com/question/30964674

#SPJ11