c). Using spherical coordinates, find the volume of the solid enclosed by the cone z=√x² + y² between the planes z = 1 and z=2. [Verify using Mathematica]

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Lmk

The probability distribution of X is given as P(x) = 1/4m, 2/4m, 3/4m, and 4/4m for values of x = 1, 2, 3, and 4 respectively.

To find m, we can use the fact that the sum of all probabilities in a distribution must equal 1.

So, we can set up the equation:

1/4m + 2/4m + 3/4m + 4/4m = 1

Simplifying the equation gives us:

10/4m = 1

Multiplying both sides of the equation by 4m gives us:

10 = 4m

Finally, we can solve for m by dividing both sides of the equation by 4:

m = 10/4

m = 2.5

As a decimal rounded to one decimal place, m = 2.5.

So, the probability distribution of X is P(x) = 1/10, 2/10, 3/10, and 4/10 for values of x = 1, 2, 3, and 4 respectively.

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Answer:

greater than , -87

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

So -9x is 36,36-2=34

Answer:

34

Step-by-step explanation:

-9(-4)-2

36-2

34

Let's simplify the expression step by step. The value of the expression ((13 x 3) - 3) / 3 is 12.

Step 1: Multiply 13 by 3

13 x 3 = 39

Step 2: Subtract 3 from the result of Step 1

39 - 3 = 36

Step 3: Divide the result of Step 2 by 3

36 / 3 = 12

To explain the calculations further, we follow the order of operations (also known as PEMDAS/BODMAS) to ensure the correct sequence of calculations:

Parentheses: There are no parentheses in the expression.

Exponents: There are no exponents in the expression.

Multiplication and Division: We perform the multiplication of 13 and 3 first, as indicated by the multiplication symbol (x). This gives us the intermediate result of 39. Then, we subtract 3 from 39.

Addition and Subtraction: Since there are no addition or subtraction operations in the expression beyond the subtraction of 3 from 39, we move to the next step.

Finally, we divide the result of the subtraction (36) by 3, which gives us the final result of 12.

It's important to follow the order of operations to ensure accurate calculations and obtain the correct answer.

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Answer:

136 1/2 cubic inches

Step-by-step explanation:

Volume is equal to length times width times height.

For width and height, use the decimal version of the mixed fractions to make calculations easier.

5 1/4 = 5.25

6 1/2 = 6.5

4 x 5.25 x 6.5 = 136.5, or 136 1/2

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

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\(\boxed{An~Emotional~Helper~here~}\)

Answer:

2

Step-by-step explanation:

1/5*10

Answer:

y=-7x-2

Step-by-step explanation:

I assume you need the equation for the line, so that's what I'm solving for here.

1. Start by putting the slope and the coordinates into point slope form, which is y-y1=m(x-x1)

y+30=-7(x-4)

2. Distribute -7 to (x-4) (or multiply x and -4 by -7).

y+30=-7x+28

3. Subtract 30 from both sides to get y by itself.

y=-7x-2

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

5

Step-by-step explanation:

x values are equal, so 9-4 = 5

The radius of convergence,R, of the series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\) is (1, ∞)

We know that for a power series ∑an (x - p)^n

if |x - p| < R then the series converges,

and if |x - p| > R then the series diverges.

Here, the number R is called the radius of convergence.

We have been given a series \(\[ \sum_{n=1}^{\infty} ~9(-1)^n~ nx^n \]\)

We need find the radius of convergence.

We use ratio test.

We know for \($\lim_{x\to\infty}~ | \frac{a_{n+1}}{a_n}|=L\)

if L < 1, then the series converges

and If \($\lim_{x\to\infty}~a_n \neq 0\) then \(\sum a_n\) diverges.

Using ratio test for given series,

\($\lim_{x\to\infty}~ | \frac{9(-1)^{n+1}~ (n+1)x^{n+1}}{9(-1)^n~ nx^n}|\\\\\\\)

= \($\lim_{x\to\infty}~ | \frac{(n+1)x^{n+1}}{nx^n}|\)

= \($\lim_{x\to\infty}~ | \frac{(n+1)x}{n}|\)

\(=|x| $\lim_{x\to\infty}~ | \frac{n+1}{n}|\)

= |x|

This means, the series is convergent for |x| < 1.

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Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

x=7 is the answer because 3 times 7 = 21 and 21 + 9 = 30

Answer:

Step-by-step explanation:

4 chapters every hour

Answer:

Inequality: 5 × .50r ≤ 20

r* ≤ 8

You most rides you can go on is 8 rides.

Inequality in slope intercept: y = 2.5 ≤ 20r + 0

*r = rides

Plz mark brainleist:)

There are 30 rides attend in the county fair this weekend.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The admission to the fair is $5 and the cost per ride is 50c. if your parents gave yo $20.

Let number of rides in the fair = x

So, We can formulate;

⇒ $5 + $0.50x = $20

⇒ 5 + 0.50x = 20

⇒ 0.50x = 20 - 5

⇒ 0.50x = 15

⇒ x = 15/0.50

⇒ x = 30

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The solution to the integral of f(t) = t^2 + sin(2t) + 2cos(2t) + e^(-t)sin(3t) is:

F(t) = (1/3)t^3 - (1/2)cos(2t) + (1/2)sin(2t) - 4e^(-t)cos(3t) + C

where F(t) represents the antiderivative or the indefinite integral of f(t).

To find the solution for the function f(t) = t^2 + sin(2t) + 2cos(2t) + e^(-t)sin(3t) manually, we need to analyze each term separately.

Term: t^2

The integral of t^2 with respect to t is (1/3)t^3.

Term: sin(2t)

The integral of sin(2t) with respect to t is -(1/2)cos(2t).

Term: 2cos(2t)

The integral of 2cos(2t) with respect to t is (1/2)sin(2t).

Term: e^(-t)sin(3t)

To integrate this term, we can use integration by parts. Let's define u = e^(-t) and dv = sin(3t) dt.

Taking the derivatives and integrals:

du = -e^(-t) dt

v = -(1/3)cos(3t)

Using the integration by parts formula:

∫ u dv = uv - ∫ v du

∫ e^(-t)sin(3t) dt = -e^(-t)(1/3)cos(3t) - ∫ -(1/3)cos(3t)(-e^(-t)) dt

= -e^(-t)(1/3)cos(3t) + (1/3)∫ cos(3t)e^(-t) dt

We can apply integration by parts again to the remaining integral:

Let u = cos(3t) and

dv = e^(-t) dt.

Taking the derivatives and integrals:

du = -3sin(3t) dt

v = -e^(-t)

Using the integration by parts formula again:

∫ cos(3t)e^(-t) dt = -e^(-t)cos(3t) - ∫ (-e^(-t))(-3sin(3t)) dt

= -e^(-t)cos(3t) + 3∫ e^(-t)sin(3t) dt

Substituting the value we found for the previous integral:

∫ e^(-t)sin(3t) dt = -e^(-t)(1/3)cos(3t) + (1/3)(-e^(-t)cos(3t) + 3∫ e^(-t)sin(3t) dt)

Now we can solve for the integral:

∫ e^(-t)sin(3t) dt = (-e^(-t)(1/3)cos(3t) - (1/3)e^(-t)cos(3t))/(1 - 1/3)

= -3e^(-t)(1/3)cos(3t) - 3e^(-t)cos(3t)

= -e^(-t)cos(3t) - 3e^(-t)cos(3t)

= -4e^(-t)cos(3t)

Now we can put all the terms together:

∫ f(t) dt = (1/3)t^3 - (1/2)cos(2t) + (1/2)sin(2t) - 4e^(-t)cos(3t)

Let's continue with the expression for the integral:

∫ f(t) dt = (1/3)t^3 - (1/2)cos(2t) + (1/2)sin(2t) - 4e^(-t)cos(3t) + C

where C is the constant of integration.

So, the solution to the integral of f(t) = t^2 + sin(2t) + 2cos(2t) + e^(-t)sin(3t) is:

F(t) = (1/3)t^3 - (1/2)cos(2t) + (1/2)sin(2t) - 4e^(-t)cos(3t) + C

where F(t) represents the antiderivative or the indefinite integral of f(t).

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To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

Grand mean of the response variable. In a two-way ANOVA (Analysis of Variance) test, the sum of squares for factor A (also called the "between-groups" sum of squares for factor A) measures the variation in the response variable that can be attributed to the levels of factor A.

Specifically, it measures the sum of the squared differences between the mean of each level of factor A and the grand mean of the response variable (which is the mean of all the observations across all levels of factor A and factor B).

Mathematically, the sum of squares for factor A can be expressed as:

SSA = ∑ni(ȳi.-ȳ..)²

where ni is the sample size of the i-th level of factor A, ȳi. is the mean of the i-th level of factor A, and ȳ.. is the grand mean of the response variable.

In other words, the sum of squares for factor A represents the variation in the response variable that is due to the differences between the means of the levels of factor A, after taking into account the overall mean of the response variable.

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In a two-way ANOVA test, the sum of squares for factor A is based on the sum of the squared differences between the mean for each level of factor A and the overall mean of the data.

This represents the variation in the data that can be attributed to the different levels of factor A.

The sum of squares for factor B is calculated in the same way, but for the levels of factor B instead.

The interaction term in the ANOVA represents the variation that cannot be explained by either factor A or factor B

alone, but is instead due to the combination of the two factors.

Overall, the ANOVA test allows us to determine if there are significant differences between the means of different

groups, and if these differences are due to the factors being tested or random chance.

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Expressions, equations, and inequalities are all mathematical sentence forms, but they differ in their structure, purpose, and meaning.

An expression is a mathematical phrase that combines numbers, variables, and operators but does not contain an equals sign. Expressions can be simplified by performing arithmetic operations, but they cannot be solved for a particular value. Examples of expressions include 2x + 5, 3y - 7, and 4z² - 6z + 9.

An equation is a mathematical sentence that states that two expressions are equal. Equations have an equals sign and are used to solve for a particular value of a variable. They can be solved by applying algebraic operations to both sides of the equation until the variable is isolated. Examples of equations include 2x + 5 = 11, 3y - 7 = 2y + 1, and 4z² - 6z + 9 = 0.

An inequality is a mathematical sentence that compares two expressions using inequality symbols such as <, >, ≤, or ≥. Inequalities can be used to represent relationships between quantities that are not necessarily equal. They are solved by isolating the variable on one side of the inequality symbol. Examples of inequalities include 2x + 5 < 11, 3y - 7 > 2y + 1, and 4z² - 6z + 9 ≤ 0.

In summary, expressions are mathematical phrases that cannot be solved for a particular value, equations are mathematical sentences that state that two expressions are equal and can be solved for a particular value, and inequalities are mathematical sentences that compare two expressions using inequality symbols and can be used to represent relationships between quantities that are not necessarily equal.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

sin (63°) - 0.891 can be expressed as sin (63° - x), where x is approximately 38.4°.

We can start by using the identity sin^2x + cos^2x = 1 to find sin x:

cos x = 0.891

cos^2x + sin^2x = 1

sin^2x = 1 - cos^2x

sin x = sqrt(1 - cos^2x)

sin x = sqrt(1 - 0.891^2)

sin x = 0.454

Now we can use the identity sin (A - B) = sin A cos B - cos A sin B, where A = 63° and B = x:

sin (63° - x) = sin 63° cos x - cos 63° sin x

sin (63° - x) = sin 63° (0.891) - cos 63° (0.454)

sin (63° - x) = 0.891 sin 63° - 0.454 cos 63°

sin (63° - x) = 0.891 (0.891) - 0.454 (0.454) (using sin 63° = 0.891 and cos 63° = 0.454)

sin (63° - x) = 0.792

Therefore, sin (63°) - 0.891 can be expressed as sin (63° - x), where x is approximately 38.4°.

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So, 25 minutes after Baxter began filling the tank, the volume of water in the tank is 255 gallons.

A linear equation can be used to model the situation where water is flowing into a tank at a constant rate. The equation would be in the form:

V = 55 + 8t

Where V is the volume of water in the tank (in gallons), t is the time (in minutes) that has passed since Baxter began filling the tank, and 55 and 8 are the y-intercept and slope respectively

To find the volume of water in the tank 25 minutes after Baxter began filling it, you would substitute 25 for t in the equation above:

V = 55 + 8(25) = 55 + 200 = 255 gallons

So, 25 minutes after Baxter began filling the tank, the volume of water in the tank is 255 gallons.

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Answer:

12

Step-by-step explanation:

The position of the point T will be shown in figure.

What is mean by Midpoint?

A point is equidistance from the endpoints of the line segment, is called the midpoint of the line segment.

Given that;

X is the midpoint of BT.

Now,

Since, X is midpoint of BT.

So, we get;

BX = XT

Hence, The distance between the points B and X is same as the distance between the points T and X.

Here, The distance between the points B and X = 3

So, The distance between the points T and X = 3

Hence, The position of the point T is 3 units far from the point X.

Therefore,

The position of the point T will be shown in figure.

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Answer:

person is trying to scam named  lotst of them trying to get peoole in this siste caklled cuttly something avoid it please post everywere report do anything u can

Step-by-step explanation:

DON"T DO IT ITS A SCAMER THEY CHANGE THERE NAME EVERYTIME SHOWS BAD THING AND CAN ACSEES UR LOCATION NAD ACCOUNT

cheseedra2020 avatar

POST EVERYWERE STY SAFE!!!

Answer: 2 4/5 +(3/5 x 1/3)

Order of operation 3/5 x 1/3 =3/15

2 4/5 + 3/15 need common denominator

2 12/15 + 3/15 If you multiply 4/5 by 3/3

you get 12/15

12 +3=15.

The denominator stays the same so you get 15/15 or 1 whole and you already have 2 wholes so 2+1= 3 so the answer will be 3

Step-by-step explanation:

Answer:  In point slope form It would be y = 4x - 4

Step-by-step explanation: The point-slope form of a line is given by the equation:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

In your case, the slope of the line is 4, and the point that the line passes through is (2,4). Plugging these values into the point-slope formula, we get:

y - 4 = 4(x - 2)

Simplifying, we get:

y - 4 = 4x - 8

Adding 4 to both sides, we get:

y = 4x - 4