The coordinate of the midpoint of AR is -3, what is the coordinate of point R?

Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

Answer: \(300\) \(times\)

Step-by-step explanation:

4.27 minutes to travel

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

(6, 1)

Step-by-step explanation:

When a point is reflected over the x-axis, its y-coordinate changes sign. When a point is reflected over the y-axis, its x-coordinate changes sign.

So, when point Q, located at (-6,-1), is reflected over the x-axis to create point Q', the new point has the same x-coordinate and a y-coordinate of -1 to 1 = 1. So, Q' is located at (-6, 1).

Next, when Q' is reflected over the y-axis to create Q'', the new point has the same y-coordinate and an x-coordinate of -6 to 6 = 6. So, Q'' is located at (6, 1).

So, the ordered pair that describes the location of Q'' is (6, 1).

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:

So the answer is k = -5

Answer:

this hard

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

\(-1.12c^{14}\)

Step-by-step explanation:

Answer:

B two congruent pieces

Step-by-step explanation:

Perpendicular means at a 90 degree angle

bisector means it divides in it half, into two equal pieces

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

Mate there isn't a chart

Step-by-step explanation:

Answer:

\(P(50 < x < 150) =0.3834\)

\(P(x = 100) =0.0074\)

Step-by-step explanation:

Given

\(f(x) = \left \{ {{\frac{1}{100}e^{-x/100}\ x\ge 0} \atop {0\ x<0}} \right.\)

Solving (a): Probability that it will function between 50 and 150 hr before it breaks down

This is represented as:

\(P(50 < x < 150) = \int\limits^{150}_{50} {f(x)} \, dx\)

So, we have:

\(P(50 < x < 150) = \int\limits^{150}_{50} {\frac{1}{100}e^{-x/100}} \, dx\)

Integrate:

\(P(50 < x < 150) =- e^{-x/100}|\limits^{150}_{50}\)

This gives:

\(P(50 < x < 150) =- e^{-150/100} - - e^{-50/100}\)

\(P(50 < x < 150) =- e^{-150/100} + e^{-50/100}\)

\(P(50 < x < 150) =- e^{-1.5} + e^{-0.5}\)

\(P(50 < x < 150) =- 0.2231 + 0.6065\)

\(P(50 < x < 150) =0.3834\)

Solving (a): Probability that it will function exactly 100 hr before it breaks down

This is represented as:

\(P(x= 100)\)

This can be rewritten as:

\(P(x= 100) = P(99<x<101)\)

So, we have:

\(P(99 < x < 101) = \int\limits^{101}_{99} {f(x)} \, dx\)

So, we have:

\(P(99 < x < 101) = \int\limits^{101}_{99} {\frac{1}{100}e^{-x/100}} \, dx\)

Integrate:

\(P(99 < x < 101) =- e^{-x/100}|\limits^{101}_{99}\)

This gives:

\(P(99 < x < 101) =- e^{-101/100} - - e^{-99/100}\)

\(P(99 < x < 101) =- e^{-101/100} + e^{-99/100}\)

\(P(99 < x < 101) =- e^{-1.01} + e^{-0.99}\)

\(P(99 < x < 101) =- 0.3642 + 0.3716\)

\(P(99 < x < 101) =0.0074\)

Hence:

\(P(x = 100) =P(99 < x < 101) =0.0074\)

The mean of the dataset increases and the standard deviation of the data set increases when the 7 is changed to a 70

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

Dataset: 1 2 3 3 4 4 4 4 5 5 6 7

As a general rule:

To prove the above statements, the mean and the standard deviations are calculated using online calculators

So, we have

Original dataset

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

Mean = 4

Standard deviation = 1.58

New dataset

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 70

Mean = 9.25

Standard deviation = 18.36

This means that changing 7 to 70 would increase the mean and the standard deviation

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The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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If two cities on map are \(5\frac{3}{4}\) inches apart, then the actual distance between the cities is 345 miles .

In the question ,

it is given that ,

the scale on the map is 1/2 inches is = 30 miles .

So , 1 inches on the map is = 60 miles.

So , the scale factor is 1 inch = 60 miles .

also given that the distance between the two cities on the map is = \(5\frac{3}{4}\) inches ,

means , 23/4 inches .

So , the actual distance is = 23/4 × 60

Simplifying further ,

we get ,

= 345 miles .

Therefore , the actual distance is 345 miles , the correct option is (d) .

The given question is incomplete , the complete question is

The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are \(5\frac{3}{4}\) inches apart, find the actual distance between the cities.

A. 300 miles

B. 315 miles

C. 327 miles

D. 345 miles

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Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer:

(12,12)

Step-by-step explanation:

Let me know if it's wrong peas and carrots.

Answer:

hfdkkgff

Step-by-step explanation:

hddddjoyruiitrtfsdnnhy 12

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

Answer:

what you owe

Step-by-step explanation:

Answer:

around 33 students.

Step-by-step explanation:

Answer: second blank for x= 2, fifth blank for x= 9. First blank for y= 0, third blank for y= 4, fourth blank for y= 36.

Step-by-step explanation:

plug in x and y values to equation and solve.

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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