find the volume of the cylinder

When the system of Linear Equations that has at least one solution , then we say that the the solution is consistent .

What is Solution of the Equations ?

A solution of the linear equation is defined as the assignment of values to the unknown variables which makes the equality in the equation True.

Consider system of linear equations given as :

\(a_{1}x +b_{1}y =c_{1}\) and \(a_{2}x +b_{2}y =c_{2}\) , then we say that the linear equations have at least one solution if the ratio is : \(\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\) and \(\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\) .

if the above two conditions are satisfied , then we call these solutions as consistent , and if these conditions are not satisfied then we call the solutions as Inconsistent .

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Assuming question is:

3(0)= -2x+9

and we have to solve for x:

0 = -2x + 9

We take x to one side, so it becomes:

2x = 9

Now we divide by 2 on both sides:

2x/2 = 9/2

x = 9/2

The correct answer is:

Answer: 5.0

Step-by-step explanation:

I literally guessed on my warmup and got it right ur welcome

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

In this problem, the function is:

H(x) = 6x + 90.

Hence the slope and the intercept are given as follows:

m = 6, b = 90.

The domain and the range of the function are given as follows:

The problem is given by the image shown at the end of the answer.

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The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.

The given table is:

Job Male Female

Faculty Member 55 5

Salaried Staff 15 25

Hourly Staff 30 20

The total number of female employees is 5+25+20 = 50.

We are to find the probability of an employee being a member of the hourly staff given that the employee is female.

Mathematically, we can represent the above statement as:

P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)

Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100

Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2

Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

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Answer: 19

9+10

19

Hope this helps! :)

Answer:

-15

That was the correct answer on my quiz!

Answer:

What do you need help with?

Answer:65

Step-by-step explanation:

hgjvmd

Answer:  y = 2x + 14   x is the number of weeks. 14 (b) was his original performance in miles jogged per week. y is the expected performance.

Sketch attached.

Step-by-step explanation:  Given John's current performance, it is likely that he was able to jog some number of miles per week, the "b" in slope-intercept form.  To calculate:

30 = 2(8) + b

30 = 16 + b

30 - 16 = b

14 = b

Substitute into the slope intercept equation:

y = 2x + b

Answer:

The answers for the second one are the first one and the fourth one.

Step-by-step explanation:

Hope this helps and sorry if this is wrong.

Answer:

The answers for the second one are the first one and the fourth one.

Step-by-step explanation:

stonks

A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16, RT= 32  and UV ≈ 8.2.

A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16.

Finding R T and U V is our goal.

First, let's assume that the figure RSTU is a rhombus since its perimeter and one-half of a diagonal's length are both provided. RT is the result of adding the segments RV and VT.

RT=RV + VT

We are informed that the RV is sixteen. If RV and VT are congruent, then V T equals 16. So:

R T = 16 + 16 = 32

In order to determine the UV length, we must first determine the RU length. Since a rhombus's sides are the same length, we can divide its perimeter by four to determine

RU= Perimeter/ 4

If we simplify and replace Perimeter with 72, we get:

RU = 72 / 4

RU =18

Since UB is a member of the right triangle RUV created by the intersection of the diagonals, we can now use the Pythagorean theorem to determine its length. So:

U V²+ R V² =  RU²

If R V = 16 and R U = 18, we obtain:

U V² + 16 ²= 18²

By way of summary, we have:

U V² + 256 = 324

U V² + 256 − 256 = 324 − 256

√ UV = √ 68

UV = 8.2462

UV ≈ 8.2

Our recommendations are as follows:

RT= 32

UV ≈ 8.2.

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Answer: me I seen him live

Answer:

63 yd²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 9, thus

A = 7 × 9 = 63 yd²

Answer:

21b

Step-by-step explanation:

a)  f is a bijection between the set of balanced strings in \(T^6\) and the set of strings in\(T^5.\) b) the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

Let x ∈ T6 be a balanced string. We define the function f : T6 → T5 by removing the last digit of x. That is, f(x) is the string obtained from x by deleting the sixth digit. It is clear that f(x) is a string in T5.

To show that f is a bijection, we need to show that it is both injective and surjective.

Injective: Suppose f(x) = f(y) for some x, y ∈ T6. Then x and y differ only in their last digit. Since the sum of the digits of x and y are both multiples of 3, their last digits must be congruent modulo 3. But the only way for two digits in T to be congruent modulo 3 is if they are the same. Therefore, x and y are identical except for their last digit, so x = y, and f is injective.

Surjective: Let y ∈ T5 be an arbitrary string. We define x ∈ T6 by adding a digit to the end of y such that the sum of the digits of x is a multiple of 3. We can always find such a digit, since adding any digit from T will either leave the sum unchanged or change it by 1 modulo 3. Therefore, f(x) = y, and f is surjective.

Since f is both injective and surjective, it is a bijection.

b) To count the number of balanced strings in T6, we note that there are three cases to consider: the sum of the digits is 0 mod 3, 1 mod 3, or 2 mod 3.

Case 1: The sum is 0 mod 3. In this case, we must choose six digits from {0, 1, 2} such that their sum is a multiple of 3. We can choose any combination of digits from {0, 1, 2} except for all 0's or all 2's. There are 3^6 - 2 = 727 cases in this case.

Case 2: The sum is 1 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 2 mod 3, and then add a sixth digit that is 2 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Case 3: The sum is 2 mod 3. In this case, we must choose five digits from {0, 1, 2} such that their sum is 1 mod 3, and then add a sixth digit that is 1 mod 3. There are (3 choose 2) * 2^5 = 192 cases in this case.

Therefore, the total number of balanced strings in T6 is 727 + 192 + 192 = 1111.

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Answer:

134

Step-by-step explanation:

268/2=134

since its equal both rows should have the same number.

The rate of change of the distance for limousine is less than the rate of change of the convertible.

How much a quantity changes over a specific time period or interval is the subject of the mathematical notion of rate of change. Several real-world occurrences are described using this basic calculus notion.

In mathematics, the ratio of a quantity change to a time change or other independent variable is used to indicate the rate of change. For instance, the rate at which a location changes in relation to time is called velocity, and the rate at which a velocity changes in relation to time is called acceleration.

The equation of the distance travelled by the convertible is given as:

y = 35x

The equation of the limousine can be calculated using the coordinates of the graph (1, 30) and (2, 60).

The slope is given as:

slope = (change in y) / (change in x) = (60 - 30) / (2 - 1) = 30

Using the point slope form:

y - 30 = 30(x - 1)

y = 30x

So the equation of the limousine is y = 30x.

Comparing the rates, that is the slope we observe that, the rate of change of the limousine is lower than the rate of change of the convertible.

Hence, the rate of change of the limousine is less than the rate of change of the convertible.

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Angle 1 + Angle 2 = 180°

(7x)° + (x + 20)° = 180°

(8x + 20)° = 180°

8x = 180 - 20

8x = 160

x = 160/8

x = 20

7(20) = 140° and 20 + 20 = 40°

Answer: 40° and 140°

Answer:

I got the answer 13

Step-by-step explanation:

To be short, I use the tangent ratio

Answer:

i got 13 but i would try to work it out yourself just incase

Step-by-step explanation:

30 hot dogs would contribute $60 to the GDP and 20 hamburgers would also contribute $60 to the GDP.

The calculation for the number of hamburgers that would contribute the same to the GDP as 30 hot dogs is as follows:

GDP (Hot Dogs) = 2 x 30 = 60

GDP (Hamburgers) = 3 x x = 60  

Therefore, the number of hamburgers needed to equal the GDP of 30 hot dogs is equal to 20:

GDP (Hamburgers) = 3 x 20 = 60

Therefore, the answer is C) 20.

To explain this in more detail, Gross Domestic Product (GDP) is a measure of the total value of all goods and services produced in a country during a specific period of time. It is calculated by multiplying the price of a good or service by the amount produced. In this case, the price of a hot dog is $2 and the price of a hamburger is $3. Therefore, 30 hot dogs would contribute $60 to the GDP and 20 hamburgers would also contribute $60 to the GDP.

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Answer: C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist

Step-by-step explanation:

Answer: y=\(\frac{5-9x}{2}\)

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y=\(\frac{5-9x}{2}\)

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15     ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

Answer:

See below

Step-by-step explanation:

The interval estimate becomes narrower.

An interval estimate is the use of sample data to calculate an interval of possible (or probable) values ​​of an unknown population parameter, as opposed to a point estimate, which is a single number.

Estimation is a method of drawing conclusions about an unknown population parameter from a sample. An estimate is a statistic that is used to calculate the value of a parameter that is not defined. Intervals are statistical estimation approaches that use survey data to generate ranges of values ​​that are likely to contain the population value of interest. Point estimates, on the other hand, are single-valued estimates of the population value. Confidence intervals are the most familiar of the various forms of statistical intervals. Certain types of analysis and scenarios, on the other hand, require the use of different scopes that provide different details.

Hence in interval estimation, as the sample size becomes larger, the interval estimate becomes narrower.

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Answer:

X= 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 10x = 4 ( add 10x to the left side and subtract 10x from the right)

3x - 8 = 4 ( add -7x and 10x to get 3x)

3x = 4 + 8 ( add 8 to the right and subtract 8 from the left)

3x = 12 ( add 4 and 8 to get 12 )

\(\frac{3x}{3}\) = \(\frac{12}{3}\) ( divide both sides by 3 )

x = 4

The answer is x =4

HOPE THIS HELPED

Answer:

i think its 34

Step-by-step explanation:

The approximation of the integral \(\(\int_{0}^{\frac{\pi}{2}}2\cos^3x \, dx\)\) using the Midpoint Rule with n = 4 is approximately 1.0468.

To approximate the integral using the Midpoint Rule with n = 4, we need to divide the interval [0, π/2] into 4 subintervals of equal width and evaluate the function at the midpoint of each subinterval. Then we multiply the function value at the midpoint by the width of each subinterval and sum up the results.

The width of each subinterval is given by Δx = (b - a) / n, where a and b are the endpoints of the interval and n is the number of subintervals. In this case, a = 0, b = π/2, and n = 4, so Δx = (π/2 - 0) / 4 = π/8.

Now let's find the midpoint and evaluate the function at each midpoint:

For the first subinterval (0, π/8), the midpoint is x₁ = (0 + π/8) / 2 = π/16.

Evaluate the function at x₁: f(x₁) = 2cos³(π/16).

For the second subinterval (π/8, π/4), the midpoint is x₂ = (π/8 + π/4) / 2 = 3π/16.

Evaluate the function at x₂: f(x₂) = 2cos³(3π/16).

For the third subinterval (π/4, 3π/8), the midpoint is x₃ = (π/4 + 3π/8) / 2 = 5π/16.

Evaluate the function at x₃: f(x₃) = 2cos³(5π/16).

For the fourth subinterval (3π/8, π/2), the midpoint is x₄ = (3π/8 + π/2) / 2 = 13π/32.

Evaluate the function at x₄: f(x₄) = 2cos³(13π/32).

Now we can use the Midpoint Rule formula to approximate the integral:

Approximation ≈ Δx * [f(x₁) + f(x₂) + f(x₃) + f(x₄)]

Substituting the values we found:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation to four decimal places using a calculator or software.

Apologies for the incomplete response. Let's calculate the approximation using the Midpoint Rule formula:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation using a calculator or software:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

≈ (π/8) * [2(0.9330) + 2(0.3830) + 2(0.0179) + 2(0.0001)]

≈ (π/8) * [1.8660 + 0.7660 + 0.0358 + 0.0002]

≈ (π/8) * 2.6678

≈ 0.3335π

Approximation ≈ 0.3335 * 3.1416

≈ 1.0468

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