The midpoint of AB is M (0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?

We have

135₁₀ = 1×10² + 3×10¹ + 5×10⁰

but since 10 = 2×5, we can write

135₁₀ = 1×(2×5)² + 3×(2×5)¹ + 5×(2×5)⁰

135₁₀ = 4×5² + 6×5¹ + 5×5⁰

135₁₀ = 4×5² + 6×5¹ + 1×5¹

135₁₀ = 4×5² + 7×5¹

135₁₀ = 4×5² + (5 + 2)×5¹

135₁₀ = 4×5² + 5×5¹ + 2×5¹

135₁₀ = 4×5² + 1×5² + 2×5¹

135₁₀ = 5×5² + 2×5¹

135₁₀ = 1×5³ + 2×5¹

135₁₀ = 1020₅

A possibly faster method: we have 5³ = 125 < 135 < 525 = 5⁴. Now,

135 = 125 + 10 = 5³ + 2×5

which agrees with the first method, 135₁₀ = 1020₅.

Step-by-step explanation:

(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)

Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.

We know that (n - 2) + n + (n + 2) = 78,

so 3n = 78, and n = 78/3 = 26.

Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.

Feel free to comment below if you have any queries!

Step-by-step explanation:

I just answered this. how often did you post it ?

for more details see my other answer.

a ratio is a special fraction.

it is a simplified form of the rehab of both fractions of both types of items in the bag.

the sum of numerator and denominator gives us a relative number of coin units.

each unit has the exact same number of coins (but only of the corresponding type).

99 + 55 = 154 coin units.

1.

so, the fraction of coins being dimes is 55/154.

the fraction of coins being quarters is 99/154.

2.

55 × f = 99

f = 99/55 = 1.8

so, there are 1.8 times more quarters in the bag than dimes

Answer:

Step-by-step explanation:

The importance of sampling, from a managerial perspective, is to obtain information to draw a valid inference about a population.

Sampling allows managers to collect data from a subset of the population in a cost-effective and efficient manner. By studying the sample, managers can gather insights and make informed decisions about the larger population. This enables them to understand the characteristics, preferences, behaviors, and needs of the population they are interested in.

Sampling helps managers to estimate population parameters accurately. By collecting data from a representative sample and applying statistical techniques, they can make reliable estimates of population parameters such as means, proportions, or correlations. This information is crucial for making informed decisions, developing strategies, and allocating resources effectively.

Testing the correlation between the values of the population is one specific application of sampling, but it is not the sole purpose. Sampling serves a broader purpose of providing information for decision-making, understanding populations, and drawing valid inferences.

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Answer:

400 sixes

Step-by-step explanation:

Find how many sixes you could expect to roll by multiplying 500 by 4/5:

500(4/5)

= 400

So, you would expect to roll 400 sixes

The distance between the points (2,10) and (-6,4) on  the coordinate

plane is 10 units. The option A is correct option.

Given that the points are  (2,10) and (-6,4)  on the coordinate plane.

To find the distance between the given above points on the coordinate plane, the formula use:

\(D = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)

Here, the value of  \(x_1=2, \ x_2=-6, \ y_1=10\)  and  \(y_2=4\).

Therefore, the distance between the given points on the coordinate plane, put the values in the above given formula to get,  

\(D = \sqrt{((-6 -2)^2 + (4 -10)^2)}\\D=\sqrt{(-8^2)+(-6)^2} \\D=\sqrt{64+36} \\D=\sqrt{100}\\ D=10 \ units\)

Hence, The distance between the points (2,10) and (-6,4) on  the coordinate plane is 10 units. The option A is correct option and the distance is 10 units.

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The correct graph is A,

All the mentioned points are labelled into the graph.

The given equation is,

y = x² - 2x  - 3

Since we can see that it has degree 2

Therefore,

This is a quadratic equation.

Now after graphing this equation we get a parabolic curve,

A parabolic curve is a group of points that form a curve with each point on the curve being equidistant from the focus and the directrix.

Then,

The curve attached below.

Now in the graph,

when we reach at x = 2.5

We get value of y - 1.75

And when we go across y = 1 in the graph we get,

x = 0.75

These points are labelled on the graph below.

Ciara invested $1300 at one rate of interest and $1100 at an interest rate of 1% higher than the former.

At the end of one year, she earned $227 in interest. The rates at which she invested are 4% and 5%.Ciara invested $1300 at one rate of interest and $1100 at another rate of interest which is 1% higher than the former. Let's consider that the rate of interest at which she invested $1300 is x. Hence, the rate of interest at which she invested $1100 would be x + 1%.So, the interest Ciara earns from investing $1300 would be,0.01x × $1300 = $13xand the interest Ciara earns from investing $1100 would be,0.01(x + 1) × $1100 = $11(x + 1)Using the given information, we can form the following equation,$13x + $11(x + 1) = $227Simplifying this equation, we get:24x + 11 = 22724x = 216x = 9Now we know that the interest rate at which Ciara invested $1300 is 9%, and the interest rate at which she invested $1100 is 1% higher than 9%, which is 10%. Therefore, Ciara invested at the rates of 4% and 5%.

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Answer:

Step-by-step explanation:x

Answer:

24

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

The  measure of each exterior angle of a regular polygon of 12 sides is equal to 30° option D.

A polygon's exterior angles are generated by extending one of its sides and extending the other side. The sum of a polygon's outside angles equals 360 degrees. You've probably heard of the phrase polygon. A polygon is an enclosed flat shape made up of three or more line segments. The line segments are referred to as sides, and the location where two sides intersect is referred to as the polygon's vertex.

Adjacent sides are a pair of sides that meet at the same vertex. The inner angle is the angle formed by one of the vertices. For all polygons, the interior and external angles at each vertex vary.

We know that the sum of a polygon's outer angles is 360.

As a result, the exterior angle of a regular polygon with 12 sides Equals 360/ 12 = 30.

So, The  measure of each exterior angle of a regular polygon of 12 sides is equal to 30°.

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The acceleration formula is \(a=\frac{v-v_0}{t}\)

Plug in the values we know.

\(a=\frac{75-0}{8}\)

\(a=\frac{75}{8}\)

\(a=9.375\)

The car's acceleration is 9.375\(\frac{m}{s^2}\)

Answer:

Step-by-step explanation:

The mean score for the test is 80.

We have,

To find the mean score for the test, we can use the relationship between the mean, the standard deviation, and the z-score.

The formula for the z-score is:

z = (x - μ) / σ

Where:

z is the z-score,

x is the given score,

μ is the mean, and

σ is the standard deviation.

In this case, we know that Cathy's score (x) is 74 and it is 1 standard deviation below the mean (z = -1).

The standard deviation (σ) is given as 6.

Plugging these values into the z-score formula, we can solve for the mean (μ):

-1 = (74 - μ) / 6

Multiplying both sides by 6:

-6 = 74 - μ

Rearranging the equation:

μ = 74 + 6

μ = 80

Thus,

The mean score for the test is 80.

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Answer:

∠A

∠EAU

∠UAE

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is A.

You can also name an angle using the three letters provided: E, A, U.

However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.

Let me know if you don't understand or need more explanation.

Thus, the linear equation which estimates the amount of water lost during drought  is: y = 600  litres.

A linear equation is a numerical formula that, when displayed in a graph, yields a straight line. Ax + b = c is the fundamental equation, where x is the variable.

A straight line on even a graph is described by a linear equation. The "line" in the word "linear equation" can help you recall this.

The typical form of a linear equation is as follows:

Ax + By = C

where x and y are variables and A and B are coefficients (numbers). C is a fixed value.

The x and y variables can be compared to points on a graph.

Given data:

Total water in well = 1,000 liters

Remaining water after drought = 400 litres

Let 'y' be the total amount of water lost during the drought.

Then, linear equation will be.

water lost = Total water - Remaining water

y = 1000 - 400

y = 600  litres

Thus, the linear equation which estimates the amount of water lost during drought  is: y = 600  litres.

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A team that had the best overall record for the season and the best measure of center to compare include the following: C. Eagles; they have a larger mean value of about 22 points.

From the data set for Jaguars, we have:

3, 14, 7, 7, 21, 10, 17, 6, 14, 24, 21, 7, 10, 17, 3

Mean of Jaguars = [3 +14 +7 +7 +21+ 10 +17 +6+ 14+ 24+ 21+ 7+ 10+ 17 +3]/15

Mean of Jaguars = 181/15

Mean of Jaguars = 12.07

Median of Jaguars = 10.

From the data set for Eagles, we have:

3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55

Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15

Mean of Eagles = 329/15

Mean of Eagles = 21.93 ≈ 22.

The median of Eagles = 21.

Since Eagles have both a larger mean and median value, the best measure of center to compare would is the mean.

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a. The upper clock is held at rest and emits light pulses (or waves) towards the lower clock. The lower clock is released into free fall and is then accelerated at rate a over the time it takes the light to travel the height h. The Doppler effect then results in the light being received at a different frequency, giving the time dilation.

b. The formula for the fractional time dilation factor 1+z, the ratio of rates of clocks, in terms of c, h and a, assuming v<0.

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Step-by-step explanation:

Just think of these as your building blocks for geometry success.

Diagram for success. ...

Know your properties and theorems.

Understand Euclid's postulates.

Learn the language of math.

Know your angles. ...

Know your triangles. ...

Figure out what you want and what you're given. ...

Now fill in the rest.

After seven years, the yearly sales are 855,355.65.

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X.

the following parameters

a = 650000

r = 4% = 0.04

t = 7

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Answer:

$72 is the retail price

Step-by-step explanation:

100 x (100-28)/100

the answer is

A. 28, 25, 22

Answer:

it's 3.12 it's super easy it is 3.12 trust me you won't get it wrong

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

The probability that either event will occur is 0.83

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

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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Answer:

18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given

f(x) = \(6^{x}\)

Substitute x- coordinate of point into f(x) and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

A

(0, 0 )

f(0) = \(6^{0}\) = 1 ≠ 0 ← not on graph

B

(0, 6 )

f(0)  = \(6^{0}\) = 1 ≠ 6 ← not on graph

C

(6, 1 )

f(6) = \(6^{6}\) ≠ 1 ← not on graph

D

(1, 6 )

f(1) = \(6^{1}\) = 6 ← lies on graph

A function that forms an arithmetic sequence include the following: D. F(x) = 2x - 4.

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = -6 + 8 = -4 + 6 = -2 + 4

Common difference, d = -2.

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