Mark thinks the equation y = 4+6x will match the red solid graph. Mia thinks it will match the blue dotted graph. who's right?

tuesday: -28.5

Wednesday: -5

Thursday: -11.8

Friday: -4.5

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer:

a would be 2/9 and b would b 1/4 and c would be 0.17

Step-by-step explanation:

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

The arithmetic sequence that has the given features is presented as follows:

\(a_n = 2 + 3(n - 1)\)

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and called common difference d.

The nth term of an arithmetic sequence is obtained by the following rule:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

The sum of the first n terms is presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The sum of the first nine terms is of 126, hence:

\(S_9 = 126\)

\(\frac{9(a_1 + a_9)}{2} = 126\)

\(4.5(a_1 + a_9) = 126\)

The ninth term is written as follows:

\(a_9 = a_1 + 8d\)

Hence:

\(4.5(a_1 + a_1 + 8d) = 126\)

\(9a_1 + 36d = 126\)

\(a_1 + 4d = 14\)

The sum of the second nine terms is of 369, hence:

\(S_{18} = 126 + 369\)

\(S_{18} = 495\)

Then:

\(\frac{18(a_1 + a_{18})}{2} = 495\)

\(a_{1} + a_{18} = 55\)

The 18th term is:

\(a_{18} = a_1 + 17d\)

Hence:

\(2a_1 + 17d = 55\)

From the first equation, it is found that:

\(a_1 = 14 - 4d\)

Hence the common difference is obtained as follows:

2(14 - 4d) + 17d = 55

28 - 8d + 17d = 55

9d = 27

d = 3.

Hence the first term is of:

\(a_1 = 14 - 4(3) = 2\)

Thus the definition of the sequence is:

\(a_n = 2 + 3(n - 1)\)

The problem asks for the definition of the arithmetic sequence.

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The variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

In a Poisson process with arrival rate λ, the waiting time until the k-th arrival follows a gamma distribution with parameters k and 1/λ.

In this case, we want to find the waiting time until the third arrival, which follows a gamma distribution with parameters k = 3 and λ = 0.2. The mean and variance of a gamma distribution with parameters k and λ are given by:

Mean = k / λ

Variance = k / λ^2

Substituting the values, we have:

Mean = 3 / 0.2 = 15 minutes

Variance = 3 / (0.2^2) = 75 minutes^2

So, the mean of T is 15 minutes and the variance of T is 75 minutes^2.

To find P(T ≤ 25), we need to calculate the cumulative distribution function (CDF) of the gamma distribution with parameters k = 3 and λ = 0.2, evaluated at t = 25.

P(T ≤ 25) = CDF(25; k = 3, λ = 0.2)

Using a gamma distribution calculator or software, we can find that P(T ≤ 25) is approximately 0.6431 (rounded to four decimal places).

Therefore, the variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.

Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:

P = 8600 * 2^(7/5)

To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.

P = 8600*3.7

P = 31420

So, the population of bacteria in the culture after 7 hours will be around 31420.

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Answer:

1 - (π/6) - (√3/4)

Step-by-step explanation:

First, calculate the area of ABCD. That's just \(1*1 = 1 un^{2} \)

Then, we are told that arcs BD and AC are circular, meaning they are portions of a circle. Therefore, let's redraw this image a little. Look below for the image.

Essentially, what I've done is created an equilateral triangle and two sectors. You may be wondering why the triangle is equilateral. Well, we firstly know it's isosceles because the two original arcs are circular and congruent. Their overlap creates two congruent lines that can be extend from point M to the vertices A and D. These two lines also happen to be radii of the quarter circles because the two sectors have AM AND AD as radii. AM and AD = 1, so AMD is an equilateral triangle.

Draw altitude OD. This is a right angle. Since equilateral triangles are also isosceles triangles, and isosceles triangles have the property of sharing the median to base and altitude to base, we can say that OD = \(\frac{1}{2} \) AD = \(\frac{1}{2} \). MD = 1, so this triangle is a 30-60-90 triangle. Why? This is because of the 30º angle converse theorem. The shorter leg is half of the hypotenuse MD, so <OMD is a 30º angle, making <ODM a 60º angle and inevitably <MDC a 30º angle (because <D is a right angle) and <ABM as well because the two sectors are congruent.

Because m<ABM = m<MDC = 30º, these two sectors are 30/360 of the individual circles or 1/12 of the original circles, which have areas of π (because 1^2*π = π). Each is 1/12π, combined they are 1/6π.

The area of the equilateral triangle is √3/8. This is because MO can be calculated, using the 30-60-90 ratios, to be √3/2. (1 * √3/2)/2 = (√3/2)/2 = √3/4; this uses the area of a triangle. Now, time to calculate the shaded area.

The area of the square is 1, the area of the sectors π/6, and the equilateral triangle √3/4. Subtract the equilateral triangle and sectors' areas from the area of the square to be left with the remaining shaded part. 1-(π/6)-(√3/4) is your final answer. To put that a little more cleanly below in the image.

Hope this helps, have a great day.

Answer: 66.5 inches

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

R= d/2

Diameter is 60 inches because there are 12 inches in a foot. So 5*12=60

60/2=30 inches

Answer:

0

Step-by-step explanation:

Delta y means the vertical displacement, which is the final height minus the initial height. Since the heights are identical, the answer is 0. No vertical height difference.

The null hypothesis (H0) states that the average bowling score (μ) is greater than or equal to 168 points, while the alternative hypothesis (Ha) states that the average bowling score is less than 168 points.

To test this hypothesis, Jamie uses a significance level of 1%. The sample data consists of 17 games, with a mean score of 155 points and a standard deviation of 19 points.

To perform the hypothesis test, Jamie can use a one-sample t-test because the population standard deviation is unknown. The test statistic can be calculated as (sample mean - hypothesized mean) / (sample standard deviation / √sample size).

Substituting the given values, the test statistic is (-13) / (19 / √17) ≈ -3.02.

With 16 degrees of freedom (sample size - 1), Jamie can compare this test statistic to the critical t-value at a 1% significance level. If the test statistic falls within the critical region, Jamie can reject the null hypothesis and conclude that her bowling score is significantly less than 168 points on average.

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Answer:

6

Step-by-step explanation:

2*3=6

I did the test

Graphing the equation 3x - 2y = -6 over the range x = -10 to x = 10:

To graph the equation 3x - 2y = -6, we need to rearrange it in the form y = mx + b, where m is the slope and b is the y-intercept.

3x - 2y = -6

-2y = -3x - 6

Divide both sides by -2:

y = (3/2)x + 3

Now we have the equation in slope-intercept form.

To graph the equation, we can plot a few points and draw a line through them. Let's choose some x-values from the range -10 to 10 and find the corresponding y-values.

For x = -10:

y = (3/2)(-10) + 3

y = -15 + 3

y = -12

For x = 0:

y = (3/2)(0) + 3

y = 0 + 3

y = 3

For x = 10:

y = (3/2)(10) + 3

y = 15 + 3

y = 18

Plotting these points (-10, -12), (0, 3), and (10, 18) on the graph and drawing a line through them, we get the graph of the equation 3x - 2y = -6.

Using the graphical method to solve the pair of equations:

The given equations are:

10x = 5y

-3x + y = 1

To solve these equations graphically, we need to plot their graphs on the same coordinate plane and find the point where they intersect, which represents the solution.

Rearranging the second equation in slope-intercept form:

y = 3x + 1

Now we have the equations in the form y = mx + b.

Plotting the graphs of the equations 10x = 5y and y = 3x + 1, we can find the point of intersection, which represents the solution to the system of equations.

The point of intersection is the solution to the system of equations.

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Answer:

3n - 1

Step-by-step explanation:

2+(n-1)3

=> 2 + 3*n -3*1

=> 2 + 3n - 3

=> 3n - 1

Hope you understand!!

Answer:

T > 2

Step-by-step explanation:

Answer:

slope -4

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-11/3-0

m=-12/3

m=-4

Step-by-step explanation:

The equation given by Alexis to compute the area, A, of the deck is A=(15×17)+2(12×8×17). This simplifies to A=255+3264, which equals 3519.

The error that Alexis made in the equation is that she calculated the area of only the rectangular part of the deck (15 x 17), and then added twice the area of the triangular parts (2 x 12 x 8 x 17). However, this double-counts the area of the triangular portions, since they are already included in the rectangular part.

To correct the equation, we need to subtract the area of one of the triangular portions from the total. The deck is symmetrical, so we can calculate the area of one triangular portion as (1/2) x 12 x 8 = 48. Therefore, the correct equation for the area of the deck is:

A = (15 x 17) + 2(12 x 8 x 17) - 48

= 255 + 3264 - 48

= 3471

The correct area of the deck is 3471 square feet, not 3519 as originally calculated.

Answer: D

Step-by-step explanation:

i just did it

Let's denote the unknown number as 'x'. The equation can be set up as x + (1/2)x = 45. Solving this equation, we find that the number is 30.

The problem states that the sum of a number and its half is equal to 45. To find the number, we can set up an equation and solve for it.

Let's represent the number as "x". The problem states that the sum of the number and its half is equal to 45. Mathematically, this can be written as:

x + (1/2)x = 45

To simplify the equation, we can combine the like terms:

(3/2)x = 45

To isolate the variable x, we can multiply both sides of the equation by the reciprocal of (3/2), which is (2/3):

x = 45 * (2/3)

Simplifying the right side of the equation:

x = 30

Therefore, the number is 30.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

C)

Step-by-step explanation:

Cost of purchasing and repairing = 6450

Cost of additional repairs = 2850

Total = 6450 + 2850 = 9300

If he sells the car without carrying out the additional repairs, he will make a loss of:  6450 - 5800 = $650

If he completes the additional repairs and sells for $8,900, he will make a loss of: 9300 - 8900 = $400

He will make a loss either way , therefore option C)

Answer:

$17.95

Step-by-step explanation:

could be wrong but add the store credit to the amount she had to pay and then divide it by the amount of shirts bought, 4. also some expensive asz shirts.

The car travels 3.75 miles in 5 minutes

GIVEN-

2.626 Miles in 3.5 mins

TO FIND-

Distance in 5mins

STEPS-

In 3.5 minutes it travels 2.625 miles

To find out how much it travels in only one minute, we divide 2.625 miles by 3.5 minutes

2.625/3.5 = 0.75 miles/minute

∵In m mins it traveled 0.75×m miles

since,distance d = 0.75 x m

∴In 5 mins it traveled 0.75x5 miles

=3.75miles

The car traveled 3.75 miles in 5 minutes

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Answer:

1 25/ 26

2 3/4

3 35/24

6 9/2

8 2/5

Step-by-step explanation:

Step-by-step explanation:

add 8 to each x coordinate and divide 60 by 2 and then divide that by 2

The complete table for the given pattern is,

x: 12, 20, 28.

y: 60, 30, 15.

To complete the table for the given patterns, we can follow the specified rules for each pattern:

Pattern x: Starting number: 12, Rule: Add by 8

To generate the numbers in this pattern, we start with the given starting number, which is 12. Then, we apply the rule of adding 8 to each successive number.

12 + 8 = 20

20 + 8 = 28

So, the completed table for Pattern x would be:

x

12

20

28

Pattern Y: Starting number: 60, Rule: Divide by 2

For this pattern, we start with the given starting number, which is 60. Then, we apply the rule of dividing each successive number by 2.

60 ÷ 2 = 30

30 ÷ 2 = 15

So, the completed table for Pattern Y would be:

Y

60

30

15

By following the respective rules for each pattern, we have filled in the missing values in the table.

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The function sin A in lowest term is sin A = 4/5.

Trigonometric functions are the functions which are the functions of an angle of a triangle.

They are the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given is a right angled triangle with side lengths 27, 36 and 45.

AB = 45 is the hypotenuse of the triangle.

Other two sides are legs.

We have to find sin A.

Sine of an angle in a right angled triangle is the ratio of opposite side to hypotenuse.

For A, the opposite side is BC = 36.

So, sin A = BC / AB = 36 / 45 = 4/5

Hence the value of sin A is 4/5.

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Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Answer:

6

Step-by-step explanation: