One line divides a plane into two regions. Two lines can divide a plane into at most four regions. What is the maximum number of regions possible using eight lines? Hint: Draw a picture. Keep adding lines. Count the regions you have each time. Do you see a parttern in your results?

Please answer it step-by-step.

The missing measures for this problem are given as follows:

First we look at the diagonals of the rectangle, as follows:

As the diagonals of a rectangle are congruent, the value of x is obtained as follows:

KM = 2JN

5x + 15 = 6x + 10

x = 5.

Angles MNJ and KNL are vertical angles, and they are congruent, hence:

m<MNJ = 124º.

Angle NMJ is one of the base angles of the isosceles triangle, hence, considering that the sum of the internal angles of a triangle is of 180º, we have that:

2 m<NMJ + 124 = 180

2 m<NMJ = 56

m<NMJ = 28º.

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Step-by-step explanation:

(1/2)³ = 1³/2³ = 1/8

that is all there is to it.

Answer:

1 slope= -5/1 point= 11

2slope= 4/1 point= -3

Step-by-step explanation:

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study

personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.

This is an example of systematic measurement error.

Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of

measurements.

This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring

tape and not from the zero point, which is 1 cm from the end.

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

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The absolute maximum is 9 at t = 2.

f has an absolute minimum at (t,y) = (-2,-3) and an absolute maximum at (t,y) = (2,9).

The derivative of the function is:

f'(t) = 3

Since f'(t) is a constant, there are no relative extrema.

To find the absolute extrema, we need to evaluate the function at the endpoints of the domain and at any critical points (where the derivative is zero or undefined).

Endpoints:

f(-2) = 3+3(-2) = -3

f(2) = 3+3(2) = 9

There are no critical points since the derivative is constant and never equals zero or is undefined.

Therefore, the absolute minimum is -3 at t = -2 and the absolute maximum is 9 at t = 2.

f has an absolute minimum at (t,y) = (-2,-3) and an absolute maximum at (t,y) = (2,9).

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Answer:

A) CF CP CT FP FT PT

B) 5/6 or ~83.3%

Step-by-step explanation:

A) Each letter combination lists the outcomes of 2 salads. Order doesn't matter so CF and FC are the same thing and do not need to be listed twice.

B) Using Part A we know that there are 6 outcomes of 2 salads. 5 out of those 6 outcomes serve chicken, pasta or both. Only the day that serves both Fruit and Tuna is there an outcome that doesn't have Chicken and/or Pasta.

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer:

(x + 42)(x - 42)

Step-by-step explanation:

Keep this in mind :

In this case,

So, by factorizing,

★a²-b²=(a+b)(a-b)

So

a=x ,b=42

Done!

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer: D.31

Step-by-step explanation: 4(2)^3-10 = 22 then take that into 3(22)-4/2 = 31

The value of the composition of function g ( f ( 2 ) ) = 31

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4x³ - 10

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = ( 3x - 4 ) / 2

The composition of function is g ( f ( 2 ) )

Now , the value of f ( 2 ) = 4 ( 2 )³ - 10

f ( 2 ) = 32 - 10 = 22

And , the value of g ( 22 ) = [ 3 ( 22 ) - 4 ] / 2

g ( 22 ) = 62 / 2 = 31

Hence , the value of the function is g ( f ( 2 ) ) = 31

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Answer: H: 57

X: GH

Y: 80

43.57 cm

Step-by-step explanation:

Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.

It is given by the number of desired outcomes divided by the number of non-desired outcomes.

Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:

18:82 = 9:41

The odds that the winner shops in the store 4 or more times a week are given by: 9:41.

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One bagel costs 155 cents.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of one bagel

y = cost of one toast

z = cost of one muffin

If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.

2y + x = 3.15   ⇒   x = 3.15 - 2y     (equation 1)

If a bagel and a muffin costs $3.30, then x + z = 3.30.

x + z = 3.30     (equation 2)

Substitute equation 1 to equation 2.

x + z = 3.30     (equation 2)

3.15 - 2y + z = 3.30   ⇒   z = 0.15 + 2y      (equation 3)

If a piece of toast, two bagels, and three muffins costs $9.15, then

y + 2x + 3z = 9.15     (equation 4)

Substitute equations 1 and 3 to equation 4.

y + 2x + 3z = 9.15     (equation 4)

y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15

y + 6.30 - 4y + 0.45 + 6y = 9.15

3y = 2.4

y = 0.8

Substitute the value of y to equation 1.

x = 3.15 - 2y     (equation 1)

x = 3.15 - 2(0.8)

x = 1.55

Hence, the cost of one bagel is $1.55 or 155 cents.

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The number of seconds where the football hit the ground is 2 seconds

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

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

Answer:

13/34

Step-by-step explanation:

subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!

Answer:

13/34

Step-by-step explanation:

34-21=13

13/34

This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

Given:

Mark was mixing blue and yellow paint ratio of 2:3.

He wants to make 45 liters of green paint.

According to the question,

Blue : Yellow =  Green

2 : 3 : 2+3 (Given)

2 : 3 : 5

Therefore, he wants to make 45 liters of green paint.

So, 5 parts = 45 liters

Now, calculating for each part.

We get,

Each part = 45÷ 5 = 9 liters

Now for 2 parts = 9 x 2 = 18 liters

And, for 3 parts = 9 x 3 = 27 liters

To perform a one-way ANOVA, you need a dataset containing interest rates for different groups or categories. Each group should have independent samples, and the interest rates within each group should be approximately normally distributed.

To calculate the F-test statistic, we need to compare the variation between the group means to the variation within the groups. In this case, the groups are the different interest rates. The F-test statistic measures the ratio of the mean square between groups to the mean square within groups. It determines whether there is a significant difference in means across the groups. A higher F-test statistic indicates a greater difference between the group means and suggests a higher likelihood of rejecting the null hypothesis. Conversely, a lower F-test statistic suggests that the group means are similar, supporting the null hypothesis.

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The area of the region enclosed by one loop of the curve is (80π²)/9.

To find the area enclosed by the curve r = sin(4θ), we need to evaluate the definite integral of (1/2) * r² dθ over the interval where the curve completes one loop.

The curve r = sin(4θ) represents a polar graph. In polar coordinates, r represents the distance from the origin to a point on the curve, and θ represents the angle between the positive x-axis and the line connecting the origin and the point on the curve.

To determine the interval for one complete loop, we need to find the values of θ where the curve intersects itself. Since sin(4θ) has a period of π/2, we can set 4θ equal to π and solve for θ:

4θ = π

θ = π/4

Thus, one loop of the curve occurs when θ ranges from 0 to π/4.

Now we can calculate the area using the formula for the area of a polar region:

A = (1/2) ∫[θ1,θ2] r² dθ

Substituting r = sin(4θ) into the formula, we have:

A = (1/2) ∫[0,π/4] (sin(4θ))² dθ

Simplifying, we obtain:

A = (1/2) ∫[0,π/4] sin²(4θ) dθ

Using the double angle identity for sine, sin^2(4θ) = (1/2)(1 - cos(8θ)), we can rewrite the integral as:

A = (1/4) ∫[0,π/4] (1 - cos(8θ)) dθ

Evaluating this integral, we get:

A = (1/4) [(θ - (1/8)sin(8θ))] [0,π/4]

A = (1/4) [(π/4 - (1/8)sin(2π))] - (1/4) (0 - 0)

A = (1/4) [(π/4)] - 0

A = π/16

Therefore, the area of the region enclosed by one loop of the curve r = sin(4θ) is (80π²)/9.

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The best description of Jim Smiley would be "a clever and competitive" individual.

Jim Smiley, a character created by Mark Twain in his short story "The Celebrated Jumping Frog of Calaveras County," is depicted as a shrewd and competitive person. He is known for his cunning nature and his desire to win in various contests and competitions. Jim Smiley's cleverness and competitive spirit are central to the story's plot and characterization.

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The average annual depreciation of the car over the 5 years span is $2500/year.

It is given that Hank paid $16,780 for a used car 5 years ago. Because he did not properly maintain the car, he sold it for $4,280.

We can write the average annual depreciation as -

Annual depreciation = (4280 - 16780)/5

Annual depreciation = (4280 - 16780)/5

Annual depreciation = - 2500

Therefore, the average annual depreciation of the car over the 5 years span is $2500/year.

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Hey there!

Opposite sides are congruent:

all of them

opposite angles are congruent

rectangle and square

all sides are congruent

rhombus and square

diagonals congruent:

rectangle, rhombus, and square

diagonals are perpendicular

square and rhombus

Have a terrificly amazing day!

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = \(\frac{S}{w}\)

⇒ k = \(\frac{1}{1.25}\) = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = \(\frac{S}{0.8}\)

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

The bottleneck time is the longest time it takes to complete any task in the assembly line. In this case, the longest time needed is 10, which is the last station. This means that all the other tasks must be completed within 10 seconds in order for the entire assembly line to proceed.

The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

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Answer:

smh 2

Step-by-step explanation:

Answer:

HI

Step-by-step explanation:

u need two answers to give brainliest