2/x + 5/3 = 7/2, trynna solve for x

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

To know more about the surface area of the plane:

https://brainly.com/question/17193351

#SPJ4

Answer:

0.16

Step-by-step explanation:

P(Q and R) = P(Q) * P(R) (since Q and R are independent)

= 0.8 * 0.2

= 0.16

Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

To know more about probabilities visit :

https://brainly.com/question/29381779

#SPJ11

Answer: 3 pieces

Step-by-step explanation:

Answer:

1.07meters

Step-by-step explanation:

Given data

Lenght of ribbon= 4 meters

Number of pieces= 3 pieces

Length of first piece= 1.28meters

Length of second piece= 1.65meters

Let the length of the third piece be x  meters

Hence

1.28+1.65+x= 4

2.93+x=4

x= 4-2.93

x=1.07meters

Hence, the length of the third piece is 1.07meters

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

the expected net profit for the Kwik Klean car wash is $1,114.

We can use the formula for calculating expected value to determine the expected net profit:

Expected Net Profit = (Probability of Rainy Day * Loss on Rainy Day) + (Probability of Non-Rainy Day * Gain on Non-Rainy Day)

Let's plug in the given values:

Expected Net Profit = (0.12 * (-250)) + (0.88 * 1300)

Expected Net Profit = (-30) + 1144

Expected Net Profit = 1114

To know more about Net Profit, refer here:

https://brainly.com/question/22024991

#SPJ11

Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

A cycle is a shape made up of all the points in a rectangle that are a certain distance from the center. It is the curve drawn by a moving location in a rectangle so that the radius from a given stage remains constant.

The radius of a circle is the distance between any two locations on the circle and the canter.

In most cases, the radius must be positive. A circle with  r=0 is a degenerate instance. This section is about rounds in Euclidean geometry, primarily the Euclidean plane, unless otherwise noted.

Now we have to consider the conditions:

Elrond is holding a council at Rivendell. He's invited two men, two dwarves, and two elves, and plans to seat them all in a circle with seven seats, including himself.  so 5+6=11

He understands that dwarves and elves do not get along, therefore he plans to arrange them so that no dwarf seats next to an elf. In the center of the circle is a chair. Hence 2=2 = 4

Number of ways = 11+4 = 15

Therefore Elrond can sit his guest in 15 ways around the circle such that all conditions are fulfilled.

To learn more about circles visit:

brainly.com/question/13322477

#SPJ4

I'll help you, I just don't understand what the exercise is asking for x or y?

Two segments that have the same measure are congruent because congruence means that two figures are identical in shape and size.

Two segments that have the same measure are congruent. In geometry, congruence means that two figures are identical in shape and size. When we say that two segments have the same measure, it means that they have the same length.To understand why two segments with the same measure are congruent, let's consider an example. Suppose we have two line segments, AB and CD, that both have a length of 5 units. By definition, we can say that AB and CD have the same measure.

Now, if we were to superimpose segment AB onto segment CD, we would see that they perfectly overlap each other. This is because they have the same length, or measure. Therefore, we can conclude that segment AB is congruent to segment CD.

This concept applies to any two line segments with the same measure. If two segments have the same length, they are congruent. Conversely, if two segments are congruent, it means they have the same measure. This relationship holds true in geometry, allowing us to determine congruence by comparing segment lengths.In summary, two segments that have the same measure are congruent because congruence means that two figures are identical in shape and size.

Learn more about Geometry here,https://brainly.com/question/24375372

#SPJ11

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

Apples: $1.30 per pound

Oranges: $1.84 per pound

1+1/2 pound of oranges: $2.76

1+1/2 pound of apples: $1.95

The cost of 1 1/2 pounds of oranges is 2.76 and the cost of 1 1/2 pounds of apples is 1.95, therefore ...

The cost of 1 1/2 pounds of oranges is $0.81 more than the cost of 1 1/2 pounds of apples

Answer:

A. 57.2

Step-by-step explanation:

Given: Nelly runs =  10-mile race in 88 minutes. At the same rate but 6.5-mile race

To find: How long it would take him to run a 6.5-mile race

Solution: To calculate the how long;

How to calculate running pace

How to calculate run distance

How to calculate run time

How to calculate running speed

Hey there! I'm happy to help!

How many times does 30 minutes go into 60 minutes?

60/30=2

This means we are traveling 32 miles two times!

32(2)=64

Therefore, Kathryn and her mom drive 64 miles in an hour.

Have a wonderful day! :D

We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

Learn more about "sample": https://brainly.com/question/24466382

#SPJ11

We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

Learn more about "sample": https://brainly.com/question/24466382

#SPJ11

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

To know more about Hypothesis here.

https://brainly.com/question/29576929

#SPJ4

Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:

1. Find the volume of the rectangular block:
  Volume = Length × Width × Height
  Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
  Internal radius = 27 cm = 0.27 m
  Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
  External radius = Internal radius + Thickness
  External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
  Volume = π × (External radius² - Internal radius²) × Length
  16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
  L = 16.8 m³ / [π × (0.31² - 0.27²)]
  L ≈ 55.48 meters
Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

To learn more about the volume of the cylinder visit:

brainly.com/question/6204273

#SPJ11

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

4x+1

Step-by-step explanation:

Option B is the correct answer.

2(-22+20)

=> -44+40

Hope it helps!

Answer:

Both of them are correct....

Answer:

Step-by-step explanation:

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf \: 2 \left( 4- \frac{ 1 }{ 3 } u \right) = -u+2\)

Use the distributive property to multiply 2 by \(\sf 4-\frac{1}{3}u\).

\( \sf \: 8+2\left(-\frac{1}{3}\right)u=-u+2 \)

Express \(\sf2\left(-\frac{1}{3}\right)\) as a single fraction.

\( \sf \: 8+\frac{2\left(-1\right)}{3}u=-u+2 \)

Multiply 2 and -1 to get -2.

\( \sf \: 8+\frac{-2}{3}u=-u+2 \)

Add u to both sides.

\( \sf \: 8-\frac{2}{3}u+u=2 \)

Combine \(\sf-\frac{2}{3}u\) and u to get \(\sf\frac{1}{3}u\).

\( \sf \: 8+\frac{1}{3}u=2 \)

Subtract 8 from both sides.

\( \sf\frac{1}{3}u=2-8 \)

Subtract 8 from 2 to get -6.

\( \sf\frac{1}{3}u=-6 \)

Multiply both sides by 3, which is the reciprocal of 1/3.

\( \sf \: u=-6\times 3 \)

Multiply -6 and 3 to get -18.

\( \boxed{ \boxed{\bf \: u=-18 }}\)

Answer:

12/13 bags

Step-by-step explanation:

2/13 * 6 = 12/13

The correct option is D. Behavioral economics studies the influence of cognitive biases and irrational decision-making on consumer behavior.

Behavioral economics combines insights from psychology and economics to understand how individuals make choices that deviate from the assumptions of classical economics. It recognizes that human behavior is often influenced by emotions, cognitive biases, and heuristics.

leading to deviations from rational decision-making. Behavioral economists study these behavioral patterns to develop more realistic models and theories that better capture the complexities of decision-making in real-world situations.

By incorporating psychological factors into economic analysis, behavioral economics provides a broader understanding of human behavior and its implications for economic outcomes.

To know more about complexities visit -

brainly.com/question/30021602

#SPJ11

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6

LCM of 3 and 6 is 6.

therefore, multiple the fraction that doesn't have 6 as denominator with a fraction that makes the denominator equal to the LCM.

1/3 × 2/2 = 2/6

(we have used 2/2 because 3×2= 6)

so,

2/6+1/6 = 2+1/6

(2 + 1 whole divided by 6)

therefore we get,

3/6

on simplification,

3/6 = 1/2 = 0.5

hope it helps!!

PLEASE MARK BRAINLIEST..

Answer:

1/3 + 1/6 = 2/6 + 1/6 = 1/2 (simplified from 3/6)

Step-by-step explanation:

since 1/3 = 2/6 (to get the same denominator)

2/6 + 1/6 = 3/6 (or 1/2 simplified, when divided by 3/3)

so 2/6 + 1/6 = 3/6

2 is the first blank

1/2 is your answer. (second blank)

hope this helps:)

Their home is located at the same distance from the school.

Distance refers to the measure of the amount of space between two points. It is a fundamental concept in geometry and physics, and it plays a crucial role in various fields of study.

Distance is a fundamental concept that helps us understand spatial relationships, navigate physical spaces, solve geometric problems, analyze data, and describe the separation between objects or points in different contexts.

Distance Metrics: In mathematics and data analysis, various distance metrics are used to quantify the dissimilarity or similarity between objects or data points. Examples of distance metrics include the Euclidean distance, Manhattan distance, and Hamming distance, among others.

Let d be the distance of Sam's home to school.

Then Sam's speed is `d/t` and her brother Shawn's speed is `(d)/t + x`, where x is a time difference.

As they arrived at the same time we can equate their speed to obtain `d/t = (d)/t + x`.

We can simplify this equation as follows: `d/t - (d)/t = x`. This gives `x = 0`.

Hence their distance is the same.

Their home is located at the same distance from the school.

To know more about distance visit:

https://brainly.com/question/29769926

#SPJ11

Answer:

The probability of choosing a heart, P(Heart) = 13/52 = 0.25

Step-by-step explanation:

Answer:

a) the platform is 110 feet above the ground.

b)  It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: \(f(x) = -5x^2 + 40x + 30\\\)

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: \(x=-\frac{b}{2a}\)

we have b = 40 and a = -5

Putting values and finding x

\(x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4\)

Now putting x=4 in the function to find how high above the ground is the platform

\(f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110\)

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function \(f(x) = -5x^2 + 40x + 30\) to find the time taken to hit the ground.

We can solve the equation using quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

We have a =-5, b=40, c=30

Putting values and finding x

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69\)

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

Answer:

5 + k

Step-by-step explanation:

Kasey can mow the lawn five minutes faster than Trisha

Which means that it takes Trisha 5 MORE minutes then Kasey to mow the lawn

If Kasey mows the lawn in "k" minutes than Trisha will mow the lawn 5 more minutes then "k"

This can also be expressed as an expression: k + 5, as Trisha takes 5 more minutes to mow the lawn  

Answer:

B. 54 square inches

Step-by-step explanation:

Surface Area

= 2(lb + bh + lh)

= 2(6 x 3 + 3 x 1 + 6 x 1)

= 2(18 + 3 + 6)

= 2(27)

= 54 square inches

The correct option is (B).