Which function best fits following points?

Answer:m=the slope of the line

(x1, y1)= a given point on the line (x,y)=any point on the line

Step-by-step explanation:

Answer:

answer  in picture

Step-by-step explanation:

The Average distance from point in a ball of radius 4 to the center as a triple integral is ⇒ 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\)   and the average distance is 3 units .

In the question ,

it is given that ,

the radius of the ball is 4 ,

that means ρ = 4 .

So , using spherical coordinates ;

the region is given by

E = {(ρ,Φ,θ) | 0≤ρ≤4 , 0≤Φ≤π , 0≤θ≤2π }

So , the triple integral representation of the  average distance is given by

AD = (∫∫∫d(x,y,z) dV)/(∫∫∫1 dV)

= 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\)

= 1/(4/3 * π *4³) × \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {{\rho}^{3} } \, sin\phi .d\rho .d\phi .d\theta\)

Integrating further ,

we get ;

= (3/256π) × \(\int\limits^{2\pi }_0\int\limits^{\pi }_0\)[ρ⁴/4]⁴₀ sinФ.dФ.dθ

Simplifying further ,

we get ,

= 3/4π × 2 × [θ] 2π to 0

= (3/2π) × 2π

= 3

Therefore , the Average distance is 3 units .

The given question is incomplete , the complete question is

Express the the average distance from a point in a ball of radius 4 to its center as a triple integral and evaluate it .

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Answer:

-7 + 10 = 3

Step-by-step explanation:

\(sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\cfrac{csc(\theta )}{1+csc(\theta )}=\cfrac{1-sin(\theta )}{cos^2(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{csc(\theta )}{1+csc(\theta )}\implies \cfrac{~~\frac{1}{sin(\theta )} ~~}{1+\frac{1}{sin(\theta )}}\implies \cfrac{~~\frac{1}{sin(\theta )} ~~}{\frac{sin(\theta )+1}{sin(\theta )}}\implies \cfrac{1}{sin(\theta )}\cdot \cfrac{sin(\theta )}{sin(\theta )+1}\)

\(\cfrac{1}{sin(\theta )+1}\implies \cfrac{1}{1+sin(\theta )}\implies \stackrel{\textit{multiplying by the conjugate of the denominator}}{\underset{\textit{difference of squares}}{\cfrac{1}{1+sin(\theta )}\cdot \cfrac{1-sin(\theta )}{1-sin(\theta )}}} \\\\\\ \cfrac{1-sin(\theta )}{1^2-sin^2(\theta )}\implies \cfrac{1-sin(\theta )}{1-sin^2(\theta )}\implies \cfrac{1-sin(\theta )}{cos^2(\theta )}\)

Okay, here we have this:

Considering that we know two angles and the measure of one side we are going to use the law of sine and cosine to find the measure of the other two sides:

Angle A=180°-19°-66°

Angle A=95°

Answer:

0.075%

Step-by-step explanation:

Answer:

1.57500 US$

Step-by-step explanation:

You equation looked like this:

$1.50; + 5% so guugle thought something else it should be:

$1.50 + 5% without the " ; "

The ammount of 5% = 0.075

Since your adding the 5% or 0.075 it would be =

1.50 + 0.075 = 1.57500

y'all get it now?

Internal angles sum: 180(sides-2) = 180

5x = 180 - (48 + 90 + 17)

x = 25/5

x = 5

answer: 5

proof:

(90 + 48) + (5(5)+17) = 180

Answer:

x=5

Step-by-step explanation:

We know that a triangle consists of 180°. So to start, you take the two given angles and add them together. 48+90=138.

Now you subtract the 138 from the total of 180 to get the degrees of the remaining angle. 180-138=42°.

Now set the unknown angle equal to 42. (5x+17) = 42

Subtract 17from both sides to get 5x=25

Divide 5 from both sides to get x=5

Answer:

> 48"

Step-by-step explanation:

> represents greater than 48"

The margin of error is 0.015 and the sample proportion is 0.659.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

The confidence interval given in the format (a, b) represents the range of values within which the true population proportion is expected to lie with a certain level of confidence.

To find the margin of error, we can use the formula:

Margin of Error = (b - a) / 2

Substituting the values from the given confidence interval, we get:

Margin of Error = (0.674 - 0.644) / 2

= 0.015

Therefore, the margin of error is 0.015.

To find the sample proportion, we can take the midpoint of the confidence interval as an estimate of the true population proportion.

Sample Proportion = (a + b) / 2

Substituting the values from the given confidence interval, we get:

Sample Proportion = (0.644 + 0.674) / 2

= 0.659

Therefore, the sample proportion is 0.659.

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Answer:

(m, 3m - 19)

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 19

f(m) = x = m

Step 2: Substitute and Evaluate

f(m) = 3(m) - 19

f(m) = 3m - 19

Step 3: Write as ordered pair

(m, 3m - 19)

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

Hope this helps!!

Answer:

(A) When the sample size increases, both α and β may decrease.

Step-by-step explanation:

Which of the following is correct?

(A) This option is right.

When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.

(B) This option is wrong

Type 2 error can only occur when you fail to reject a true H0

(C) This option is wrong

Type 1 error can only occur if or when you don't reject a false H0

(D) This option is wrong

The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

The probability that an individual man’s step length is less than 2.2 feet is 0.10 or 10%

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = (X - mean)/S.D

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 2.8 feet and a standard deviation of 0.5 feet.

Find the probability that an individual man’s step length is less than 2.2 feet.

This is the p-value of Z when X = 2.2. So

Z = (2.2 - 2.8)/0.5

Z = 0.6/0.5 = 1.2

Z = 1.2

has a p-value of 0.10

Therefore, the probability that an individual man’s step length is less than 2.2 feet is 0.10 or 10%

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Answer:

1. 9

2. 25

3. 12

4. 13

5. 75.36

Step-by-step explanation:

You should pay attention in class

Answer:

This relation IS a function

Answer:

This is a function

Step-by-step explanation:

Down below none of them overlap

There is no two points in the lines.

Answer:

The answer is 5.

Step-by-step explanation:

-3-(-8) = -3+8 = 5.

Answer:

The answer is 5.

Step-by-step explanation:

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Answer:

42 gallons.

Step-by-step explanation:

count every inch *2 and calculate gallons

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

Answer:

You have to think in three dimensions to answer this properly. The relative size of the pieces was never specified, so let’s start with the first three cuts:

Cut 1: No specified angle—-but it’s vertical and along a diameter (assuming a circular pie): 2 pieces.

Cut 2: Perpendicular to Cut 1; also vertical: 4 pieces.

Cut 3: Horizontal across the midline of the pie: 8 pieces.

Cuts 4 and 5: Diagonally—from either end of cut 1 on top to the opposite sides on the bottom (they intersect at the center): 16 pieces.

Cuts 6 and 7: Diagonally from the ends of cut 2 (similar to cuts 4 and 5): 32 pieces.

Cut 8: The exact angle is unimportant—it’s difficult if not impossible to cut more than half of the pieces. So of 32, 16 are split, leaving a grand total of 48 pieces.

There could very well be a way to make more than 48 pieces, but I would have written that one if I’d thought of it.

Step-by-step explanation:

With eight straight cuts, approximately 18 pieces of pie can be made.

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that a pie can be cut into seven pieces with three straight cuts.

With three straight cuts, the number of pieces would be seven.

With 1 straight cut, the number of pieces would be 7/3.

With 8 straight cut, the number of pieces would be 7/3 x 8 = 56/3 = 18.6

Therefore, with eight straight cuts, approximately 18 pieces of pie can be made.

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

= 12 : 18

Step-by-step explanation:

• 18 - 6 = 12

• girls = 12

• total students = 18

• girls to total students

= 12 : 18

Answer:

12:18

Step-by-step explanation:

Answer:

\({ \tt{f(x) = - 10x - 18}} \\ { \tt{g(x) = - 3x}} \\ \\ { \tt{(f - g)(x) = ( - 10x - 18) -( - 3x) }} \\ \\ { \tt{(f - g)(x) = ( - 10x + 3) - 18}} \\ \\ { \tt{(f - g)(x) = - 7x + (3 - 18)}} \\ \\ { \tt{(f - g)(x) = - 7x - 15}}\)

Answer:

Izza walked 3 steps forward

samuel is on the 9th floor

-9 degrees

Step-by-step explanation:

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)