The law of exponent used in is _____

A. Quotient of power
B. Power of a quotient
C. Product of power
D. Power of prduct

Explanation

The time increase is given as % increase = Increase ÷ Original Number × 100

Answer: 33.3333%

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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In case of linear function the graph will be a straight line as the change is constant in every interval. But in case of non-linear function, instead of straight line the graph will generate curve line as the change is not constant in every interval.

According to the given statement the total number of ordered pairs is: (2 - 1) * (3 - 1) * (5 - 1) * (7 - 1) * ... * (97 - 1) = 1 * 2 * 4 * 6 * ... * 96 = 2⁴⁹ * 3²⁴* 5⁹* 7⁴ * ... * 97 .

To find the number of ordered pairs (x, y) where both xy and x1y1 are integers, we need to consider the prime factorization of the given expressions.

Let's first analyze xy.

For xy to be an integer, x and y must have a common factor.

Since y < x and x ≤ 100, we can consider all the prime numbers up to 100.

There are 25 prime numbers up to 100.

For each prime number p, we need to find the number of values of y that are less than x and have p as a factor.

For a given prime p, the number of such values of y is equal to p - 1.

So, the total number of values of y for each prime p is (p - 1).

Now, let's consider x1y1. Similar to the previous case, we consider all the prime numbers up to 100.

For each prime p, the number of values of y1 that are less than x1 and have p as a factor is again (p - 1).

Since x and y are positive integers, the total number of ordered pairs (x, y) where both xy and x1y1 are integers is the product of the number of values of y and y1 for each prime p.

The total number of ordered pairs (x, y) is equal to 2⁴⁹ * 3²⁴ * 5⁹ * 7⁴ * ... * 97.

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The polynomial written in standard from is -7xy³ - 3x³y + 8x²y² + 4x².

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

In other words the terms are arranged by decreasing order of degrees.

The degree of a polynomial is the exponential value of the variables.

Therefore, the polynomial written in standard from in the options is as follows:

-7xy³ - 3x³y + 8x²y² + 4x²

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Answer:

1. Down

2. 9 units down

3. Left

4. 5 units left

Answer:

A decimal number is a number that has two parts, the whole and the fractional. These parts are divided by a decimal point. For example: 7.45 or 102.7 are decimal numbers.

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.

The line passing through the points (-1, -1, -1) and (8, -1, 7) can be described using vector notation. Let's denote the position vector of a point on the line as P(t), where t is a real number that represents a parameter along the line. The vector equation for the line can be written as: P(t) = (-1, -1, -1) + t[(8, -1, 7) - (-1, -1, -1)].

Simplifying the equation: P(t) = (-1, -1, -1) + t(9, 0, 8) = (-1 + 9t, -1, -1 + 8t). This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.

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The measure of the arc CE would be -

m. arc{CE} = 141°

The distance formula is given by -

(d)² = (x₂ - x₁)² + (y₂ - y₁)²

Given are the coordinate points as -

(- 3,1) & (1,- 1)

The given coordinate points are -

(d)² = (- 1 - 1)² + (1 + 3)²

(d)² = (-2)² + (4)²

(d)² = 4 + 16

(d)² = 20

d = √20

Therefore, the distance AB is equivalent to √20 units.

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The absolute minimum value of f is -8, which occurs at t = 0, and the absolute maximum value is 12, which occurs at t = π/6.

To find the absolute minimum and absolute maximum values of f(t) = 8cos(t) + 4sin(2t) on the interval [0, 2/π], we need to evaluate the function at the critical points and endpoints.

First, we find the critical points by taking the derivative of f(t) and setting it equal to zero:

f'(t) = -8sin(t) + 8cos(2t) = 0.

Simplifying the equation, we have:

sin(t) = cos(2t).

This equation is satisfied when t = 0 and t = π/6.

Next, we evaluate f(t) at the critical points and endpoints:

f(0) = 8cos(0) + 4sin(0) = 8,

f(π/6) = 8cos(π/6) + 4sin(2(π/6)) = 12,

f(2/π) = 8cos(2/π) + 4sin(2(2/π)).

Finally, we compare the values of f(t) at the critical points and endpoints to determine the absolute minimum and absolute maximum values.

The absolute minimum value of f is -8, which occurs at t = 0, and the absolute maximum value is 12, which occurs at t = π/6.

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we can draw in finite number circle from one point. so there are n number of possibility to draw circle from on given single point.

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

Area of circle =  

\(\pi r^2\\r = 10\\A = 3.14 X 20 X 20\\A = 628unit sq\\\)

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Answer:

??????????????????????????????????

Step-by-step explanation:

To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer:

\(4(s + 3)\)

\((s + 3) + (s + 3) + (s + 3) + (s + 3)\)

The Slope of  given graph is -2.

The slope of a line indicates how steep it is. Slope is theoretically calculated as "rise over run" (change in y divided by change in x).

1. Locating Slope using a graph

2. Choose two random spots on the line's graph (preferably with integer coordinates).

3. Identify them as A and B. (in any order).

4. The "rise" from A to B should be calculated. If necessary, while moving vertically from point A to point B.

5. Determine the "run" distance from A to B.

6. Apply the following equation: slope = rise/run.

∵ The two points on the graph chosen are A(-3,6) B (3,-6)

  Now , slope = rise / run

            slope = \(\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)

                      = \(\frac{-6-6}{3-(-3)}\)

                      = -12/ 6

                      = -2          

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The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.

Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.

For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.

It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.

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The diameter of the circle with the provided equation of circle which has radius 4 units is 2 units long.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The equation given  in the problem is

\((x+ 6)^2 +(y - 4)^2 = 16\)

Make it like equation of circle as,

\((x+ 6)^2 +(y - 4)^2 = (4)^2\)

Let's compare it with the equation of circle we get,

\(h=-6\\k=4\\r=4\)

Here, the radius of the circle is 4 units. As the radius of the circle is twice the diameter of the circle. Thus, the Diameter of the circle is,

\(d=\dfrac{4}{2}\\d=2\)

Hence, the diameter of the circle with the provided equation of circle which has radius 4 units is 2 units long.

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Answer: B

Population: All parents with students at the school

Sample: All parents who respond to the survey

Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not be representative of the whole population.

(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

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Answer:

32,768

Step-by-step explanation:

8x8x8x8x8x8= 262,144

262,144÷8= 32,768

Answer:

15, 30, 45

Hope this helps.

Answer:

15,30,45

Step-by-step explanation:

Hope this Helps!

:)

The equation of the magnitude of the force applied at the back of otter is F is (P+P0)A F is ( P + P 0 ) A .

The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.

The surface area of the otter's back is A = 0.55 m2.

The fluid pressure at the depth of the otter is P = 11500 Pa.

Thus, the equation of the magnitude of the force applied at the back of otter is F=(P+P0)A F = ( P + P 0 ) A .

The complete question is

An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2. The fluid pressure at the depth of the otter is P = 11500 Pa.

Write an equation for the magnitude of the force F on the back of the otter in terms of the pressure P and the atmospheric pressure P0.

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Answer:

it doesn't show anything