1. Which of the following points are on the circle centered at the origin with 2 = 89 ?
A) (25,64)
B) (5, -8)
C) (-3,-9)
D) (√89, √89)

Answer:

(0,0) and (5,0)

Step-by-step explanation:

i dont know your choices

Answer:

YES BY SAS

Step-by-step explanation:

20/16=5/4

25/20=5/4

Answer:

s=555

Step-by-step explanation:

The process of making coffee grounds involves sourcing, roasting, grinding, and packaging high-quality beans.

The process of making coffee grounds starts with sourcing and selecting high-quality beans, which sets the foundation for a superior product. These beans are then carefully roasted to unlock their unique flavors and aromas, enhancing the overall coffee experience.

The roasted beans are ground to the desired consistency, catering to different brewing methods and preferences. Finally, the freshly ground coffee is meticulously packaged to preserve its freshness, ensuring that customers can enjoy the full flavor profile.

Through value-added analysis, each step is evaluated to identify activities that directly contribute to the product's value, allowing for optimization and efficiency in the production process.

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Answer: 16 cm

Step-by-step explanation:

Use ratios to solve:

125 m -> 25 cm

80 m -> x cm

Find the value of x:

x = 80*25/125 = 16

Hope this helps!

The length of the building on the scale drawing is 16 centimeters.

To determine the length of the building on the scale drawing in centimeters, we first need to establish the scale factor. Since the actual height of the building is 125 meters and its representation on the scale drawing is 25 centimeters, we can find the scale factor by dividing the height on the scale drawing by the actual height:

Scale factor = (Height on scale drawing) / (Actual height) = 25 cm / 125 m

As there are 100 centimeters in a meter, we need to convert the actual height to centimeters:

125 m * 100 = 12,500 cm

Now, we can recalculate the scale factor:

Scale factor = 25 cm / 12,500 cm = 1/500

This means that every 1 centimeter on the scale drawing represents 500 centimeters (or 5 meters) in reality. Now that we know the scale factor, we can use it to find the length of the building on the scale drawing:

Length on scale drawing = (Actual length) * (Scale factor) = 80 m * (1/500)

First, convert the actual length to centimeters:

80 m * 100 = 8,000 cm

Now, multiply by the scale factor:

Length on scale drawing = 8,000 cm * (1/500) = 16 cm

So, the length of the building on the scale drawing is 16 centimeters.

In summary, we can use the scale factor to convert between the actual measurements and the measurements on the scale drawing.

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Answer:

Answer choices?

Step-by-step explanation:

The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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Answer:

Step-by-step explanation:

7)  4*5 - 2*3 = answer

20-6 = 14

8)  5*4 - 2*(2*2) = answer

20 -8 = 12

The solution to the differential equation with the initial condition x(0) = -2 is:

x(t) = (1/7) tan(7t + 7 arctan(14))

The given differential equation is separable, which means that we can separate the variables x and t and integrate both sides to solve for x. Here's how:

dx/dt = x^2 + 1/49

dx/(x^2 + 1/49) = dt

Integrating both sides, we get:

(1/7) arctan(7x) = t + C

where C is the constant of integration. To find the value of C, we use the initial condition x(0) = -2:

(1/7) arctan(-14/7) = 0 + C

C = -(1/7) arctan(2)

So the general solution to the differential equation is:

(1/7) arctan(7x) = t - (1/7) arctan(2)

To find the particular solution that satisfies the initial condition x(0) = -2, we substitute t = 0 and x = -2 into the above equation:

(1/7) arctan(-14) = 0 - (1/7) arctan(2)

(1/7) arctan(-14) = - (1/7) arctan(2)

arctan(2) = -arctan(14)

Therefore, the particular solution is:

(1/7) arctan(7x) = t + arctan(14)

Solving for x, we get:

x = (1/7) tan(7t + 7 arctan(14))

or

x(t) = (1/7) tan(7t + 7 arctan(14))

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The 80% confidence interval for the mean mathematics SAT score for the entering freshman class is [444, 476].

To construct a confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± Margin of Error

The margin of error depends on the desired level of confidence, the sample standard deviation, and the sample size. In this case, the level of confidence is 80% or 0.80, which corresponds to a z-score of 1.28 (obtained from the standard normal distribution table).

The margin of error can be calculated as follows:

Margin of Error = Z * (Population Standard Deviation / √Sample Size)

Substituting the values given in the problem:

Margin of Error = 1.28 * (119 / √100) ≈ 14.37

The sample mean is given as 460.

Therefore, the confidence interval is:

Confidence Interval = 460 ± 14.37 ≈ [444, 476]

Rounding to the nearest whole number, the 80% confidence interval for the mean mathematics SAT score for the entering freshman class is [444, 476]. This means that we can be 80% confident that the true mean SAT score for the entire population of entering freshmen falls within this interval.

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Carrie must have invested £2550 at 8% interest rate for 1 year

What is the present value of £2754 ?

The present value of £2754  is its today's worth of the £2754  that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754  today

PV=FV/(1+r)^N

PV=amount invested=unknown

FV=worth of investment after 1 year=£2754

r=interest rate=8%

N=number of years since invested=1

PV=£2754/(1+8%)

PV=£2754/1.08

PV=£2550

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The probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

To find the probability that Adam and Betty meet while walking on the grid, we can consider their paths. Adam will always move up or right, while Betty will always move down or left. This means that their paths will always be perpendicular, and they will only meet if they intersect at some point.

Let's consider the first minute. Adam can either move up or right, and Betty can either move down or left. There are four possible outcomes: Adam moves up and Betty moves down, Adam moves up and Betty moves left, Adam moves right and Betty moves down, or Adam moves right and Betty moves left.

Out of these four outcomes, only one leads to Adam and Betty meeting: if Adam moves right and Betty moves down, they will meet at the point $(1,3)$. So the probability of them meeting in the first minute is $\frac{1}{4}$.

Now let's consider the second minute. Adam will be one unit away from $(1,3)$, and Betty will be one unit away from $(1,3)$. There are four possible outcomes again, but only one leads to them meeting: if Adam moves up and Betty moves down, they will meet at the point $(1,2)$. So the probability of them meeting in the second minute is $\frac{1}{4}$.

We can continue this process for each minute. At each step, there is only one outcome that leads to them meeting, and the probability of that outcome is $\frac{1}{4}$. So the probability of them meeting after $n$ minutes is $\left(\frac{1}{4}\right)^n$.

Now we need to find the probability that they meet at any point in time. We can do this by taking the complement of the probability that they never meet. The only way they will never meet is if their paths never intersect, which means that Adam always stays to the right of Betty or always stays above Betty.

The probability of this happening is the same as the probability that Adam flips tails $4$ times in a row, or Betty flips heads $2$ times in a row. This probability is $\left(\frac{1}{2}\right)^4=\frac{1}{16}$, since there are $2^4$ possible outcomes for Adam and $2^2$ possible outcomes for Betty.

So the probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

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The value that represents the variable x in the trapezoid is 108 degrees

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

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The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

\(2 \sqrt{61} \: in\)

Step-by-step explanation:

Use the Pythagorean theorem (assume, that the length of hypotenuse is x):

\( {x}^{2} = {10}^{2} + {12}^{2} = 100 + 144 = 244\)

\(x > 0\)

\(x = \sqrt{244} = 2 \sqrt{61} \)

Answer:

7

Step-by-step explanation:

just took the test on edg2020

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

In the given figure, AD=5x+3 and BC=38.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

In the parallelogram ABCD, AD=BC

So, 5x+3=38

⇒ 5x=35

⇒ x=7

The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.

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Answer:

14.4in so your radius is your third answer

Highest score obtained in this group of 12 scores is 19

Statistical distribution A distribution in statistics describes how a variable is spread out or dispersed among several values. The chance of various outcomes for a variable is described by a distribution, which can be represented graphically using histograms, box plots, and probability density functions.

Table 2-3's distribution displays frequency (f) for various score ranges (x). We are unable to determine with certainty the highest score among the 12 scores in this category without knowing the precise scoring methodology. But, by dividing the upper limit of the range by its frequency, we may calculate the upper limit of the highest scoring range:

Upper limit of 20-24 range = 24

Frequency of 20-24 range = 2

Upper limit of 15-19 range = 19

Frequency of 15-19 range = 5

Upper limit of 10-14 range = 14

Frequency of 10-14 range = 4

Upper limit of 5-9 range = 9

Frequency of 5-9 range = 1

The top limit of the score range with the highest frequency must be identified in order to find the maximum score. The maximum frequency in this instance is 5, which corresponds to the range of 15 to 19.

The greatest score range is therefore 15–19, and the highest score inside that range is the range's top limit of 19. In this group of 12 points, the best score is 19, making it (assuming the scoring system is such that higher scores correspond to higher ranges).

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Answer:

The answer is 30%

Answer: y = f(x-1) + 4

Step-by-step explanation:

The dotted line is the function if it was translated 4 units upwards and 1 unit to the right. Therefore, we add 4 to the end of the equation (adding 4 to y) to shift it up, and subtract 1 from the x to shift it to the right.

The finite number of terms in the series B, it is possible that B < A for the given function h. The correct answer is: A < B.

H is a positive, decreasing function, we have:

h(2) > h(3) > h(4) > ... > h(15) > h(16)

Therefore, we can write:

h(2) + h(3) + h(4) + ... + h(15) > ∫\(2^{16\) h(x) dx > h(16) + h(15) + ... + h(3) + h(2)

Integrating both sides of this inequality, we get:

h(2)(2 - 1) + h(3)(3 - 2) + h(4)(4 - 3) + ... + h(15)(15 - 14) > ∫2^16 h(x) dx > h(16)(16 - 15) + h(15)(15 - 14) + ... + h(3)(3 - 2) + h(2)(2 - 1)

Simplifying this, we get:

h(2) + 2h(3) + 3h(4) + ... + 14h(15) > ∫2^16 h(x) dx > h(16) + 2h(15) + 3h(14) + ... + 14h(3) + 15h(2)

Since h is a positive function, we can use the comparison test to compare the series B = Σ15 h(n) n=2 with the integral A = ∫16 h(x) dx 2 . Specifically, we have:

B = h(2) + h(3) + h(4) + ... + h(15) > A > h(16)

Therefore, we can conclude that:

B > A > h(16)

Since h is a continuous function and the interval [2, [infinity]) is unbounded, we have:

lim h(x) = 0

x→∞

Therefore, we can see that h(16) → 0 as x → ∞. This means that as the value of 16 becomes larger, the difference between B and A becomes smaller.

However, since we only have a finite number of terms in the series B, it is possible that B < A for the given function h. Therefore, the correct answer is:

A < B

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Answer:

7238.23

Step-by-step explanation:

The circumference of the circle with a radius of 18 inches is 36π inches.

To find the circumference of a circle, you can use the formula C = 2πr, where C represents the circumference and r is the radius. Given that the radius of the circle is 18 inches, we can substitute this value into the formula to calculate the circumference.

C = 2π(18)

C = 36π

This means that if you were to measure around the outer edge of the circle, it would be approximately 113.04 inches (since π is approximately 3.14159).

It's important to note that the value of π is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction. Therefore, it is commonly represented by the Greek letter π.

In practical terms, when working with circles and calculations involving circumference, it is generally more accurate and precise to keep π in the formula rather than using an approximation.

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The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

Given the data in the question;

-x - 8 ≤ -15 and -18 ≤ -x - 8

To solve, simplify the first part of the inequality by solving for x.

-x - 8 ≤ -15

Add 8 to both sides

-x - 8 + 8 ≤ -15 + 8

-x ≤ -7

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≥ -7/-1

x ≥ 7

Next, simplify the second part of the inequality by solving for x

-18 ≤ -x - 8

Rewrite as

-x - 8 ≥ -18

Add 8 to both side

-x - 8 + 8 ≥ -18 + 8

-x ≥ -10

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≤ -10/-1

x ≤ 10

Now, the intersection consist of the elements that are contained in both intervals.

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

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Xc = 407236.136 + ΔX
Yc = 218982.863 + ΔY

To determine the coordinates of point C, we can use the given information of point A's coordinates and the bearing from A to B.

1. First, let's convert the bearing from degrees, minutes, and seconds to decimal degrees.

To convert the minutes and seconds to decimal degrees, we divide each by 60.

310°34'20" = 310 + 34/60 + 20/3600 = 310.572222°

2. Next, we can use trigonometry to find the change in coordinates from point A to point C.

The change in X-coordinate is given by:
ΔX = distance * sin(bearing)

The change in Y-coordinate is given by:
ΔY = distance * cos(bearing)

3. Now, we need to calculate the distance from point A to point C. To do this, we can use the Pythagorean theorem.

distance = √(ΔX^2 + ΔY^2)

4. Once we have the distance of A to C, we can find the coordinates of point C.

The X-coordinate of point C is:
Xc = Xa + ΔX

The Y-coordinate of point C is:
Yc = Ya + ΔY

Now, let's calculate the coordinates of point C using the given values:

Xa = 407236.136
Ya = 218982.863
Bearing = 310.572222°

ΔX = distance * sin(bearing)
ΔY = distance * cos(bearing)

distance = √(ΔX^2 + ΔY^2)

Xc = Xa + ΔX
Yc = Ya + ΔY

By plugging the values into the formulas, we can calculate the coordinates of point C.

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Water turning to blood will be the first plague that will be present.

Both humans as well as mammals can contract the plague. The protozoan parasite is the bacterium that causes it. The most common ways for humans to contract the plague are through handling a plague-infected animal or by getting bitten by a rodent bug that is carrying the disease.

The 10 plagues in the correct order are:

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The part of speech of word 'rainstorm' is a noun in the sentence 'the campers were drenched by the rainstorm'.

There are eight parts of speech. They are noun, pronoun, adjective, verb, adverb, preposition, conjunction, and interjection. Further, these parts of speech are subdivided into different types.

A noun is the name of a person (for example, Ram, Neetu, John, etc.), place (for example, Delhi, Lucknow, Jaipur, America, etc.) or a thing (for example, table, desk, pen, rainstorm, etc.).

There are five types of noun: proper noun, common noun, abstract noun, material noun and collective noun.

Hence, the italicized word in the given sentence is a noun.

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