find the surface area of the part of the plane x 3y z=4 that lies inside the cylinder x2 y2=9.

Ecuaciones

Llamemos x al primer número del camión y y al segundo número.

Tenemos que su suma es 11, así que:

x+y=11

También sabemos que su producto es 24:

xy=24

De esta forma, tenemos un sistema de ecuaciones. Vamos a despejar la x de la primera ecuación:

x=11-y

Y la reemplazamos en la segunda:

(11-y)y=24

Operamos y ordenamos el poninomio para formar la ecuación cuadrática:

Para hallar las soluciones de esta ecuación, tomemos los coeficientes de la ecuación de segundo grado:

a=1, b=-11, c=24

Y aplicamos la fórmula resolvente

Tenemos dos posibles respuetas:

y=16/2=8

y=6/2=3

Sustituimos ambas respuestas para hallar x:

x=11-y

x=11-8=3

x=11-3=8

En cualquier orden que los tomemos, los números del camón eran 3 y 8

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.

The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.

To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.

To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.

Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.

In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.

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The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

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Answer:

Divide both side by 9

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

It’s flipped

Answer: The answer is 9-pack of toaster pastries for $7.56

Step-by-step explanation:

Basicly it would be more expensive if you bought 9 for the first option but less for the other.

The three items on Mr. Archer's net worth statement that are liabilities are the auto loan, credit card debt, and home mortgage.

Looking at Mr. Archer's net worth statement, we see that he has several items listed along with their corresponding values in dollars. In order to identify which items are liabilities, we need to look for those that represent debts or obligations.

The first item listed is Mr. Archer's checking account, which has a value of 590 dollars. This is an asset, as it represents money that he owns and has available to spend.

The second item listed is an auto loan with a value of 3,300 dollars. This is a liability, as it represents money that Mr. Archer owes to a lender in order to pay for his car. In other words, the auto loan is a debt that he needs to repay.

The third item listed is credit card debt, with a value of 950 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a credit card company and needs to repay.

The fourth item listed is a savings account, with a value of 1,590 dollars. This is an asset, as it represents money that Mr. Archer owns and has saved for future expenses or emergencies.

Finally, the fifth item listed is a home mortgage, with a value of 86,500 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a lender in order to purchase his house. The home mortgage is a debt that he needs to repay over time.

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Answer:

c<1

Step-by-step explanation:

If you needed c by itself this would be c<1

Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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Answer:

The value of z is 58    

Step-by-step explanation:

The mean is the average of a set of numbers.  Mean = (sum of the numbers)/(the number of numbers).

We are told that the mean of x+y+z is = 55.  

We can wriote this as:

 55 = (x+y+z)/3

We learn that x+y = 107.  So lets enter that number for x + y:

 55 = (x+y+z)/3

55 = ((x+y)+z)/3    

55 = ((107)+z)/3           [Substitution]

55 = (107+z)/3

165 = 107+z               [Multiply both sides by 3]

z = 58                       [Simplify]

CHECK:

Is the mean of x, y, and z 55?

55 = (x+y+z)/3  ?

55 = ((107)+z)/3 ?   [Since we know x+y = 107]

55 = ((107)+58)/3 ?  [Since z=58]

55 = (165)/3)  ?

55 = 55  YES  The value of z is 58    

For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.

A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.

Using a standard normal table the area to the right of z = 1.75 is given by

P(z > 1.75) = .0401

Therefore, the correct option is a.

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Answer:

C

Step-by-step explanation:

Because it’s just the population before times two because it doubled

Answer:

Step-by-step explanation:

Compare the last two lines above:

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

Answer:

Step-by-step explanation:

\((1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)\)

                                         \(= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\\)

                                         = Sin x * Tan x

Hence proved

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

Third quadrant the complex plane is where the number -14 - 5i is situated.

Based on the common knowledge, the complex number's real and imaginary components are considered as the x- and y- coordinates of an ordered pair in a 2-D plane.

first quadrant a+bi =(a,b)

second quadrant -a+bi= (-a,b)

third quadrant -a-bi=(-a,-b)

fourth quadrant a,-b=(a,-b)

According to the question,-14-5i is located in third quadrant(-14,-5)

As a result, the complex plane's third quadrant is where the number -14 - 5i is situated.

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Answer:

46

Step-by-step explanation:

92 + 42 + 46=180

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

a) The value of cos(a + B) is approximately -0.345.

b) The value of cos(a - B) is approximately 1.218.

(a) To find cos(a + B), we can use the identity:

cos(a + B) = cos(a)cos(B) - sin(a)sin(B)

We are given that sin a = 0.382 and cos B = 0.707, so we can substitute these values into the formula:

cos(a + B) = cos(a)cos(B) - sin(a)sin(B)

= cos(B)sin(a) - sin(B)cos(a)

= 0.707 x 0.382 - 0.707 x 0.923

≈ -0.345

Therefore, cos(a + B) is approximately -0.345.

(b) To find cos(a - B), we can use the identity:

cos(a - B) = cos(a)cos(B) + sin(a)sin(B)

We can use the same values of sin a and cos B as before:

cos(a - B) = cos(a)cos(B) + sin(a)sin(B)

= cos(B)sin(a) + cos(a)sin(B)

= 0.707 x 0.382 + cos(a) x 0.707

≈ 0.603 + 0.707 cos(a)

We still need to find the value of cos(a) to get a numerical answer. We know that sin a = 0.382, and since the terminal ray of angle a is in Quadrant I, we can use the Pythagorean identity to find cos a:

sin² a + cos² a = 1

cos² a = 1 - sin² a

= 1 - 0.382²

≈ 0.854

cos a is positive in Quadrant I, so we take the positive square root:

cos a ≈ 0.924

Substituting this value into the expression for cos(a - B), we get:

cos(a - B) ≈ 0.603 + 0.707 x 0.924

≈ 1.218

Therefore, cos(a - B) is approximately 1.218.

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Answer:

x<-8 is answer

Step-by-step explanation:

I got the big maths

Answer:

1) The expected value of the "winnings" is $(-0.97\(\overline 2\))

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 3, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 4, we have 1/18 × (20 - 5) = 0.8\(\overline 3\)

For 5, we have 1/18 ×  (10 - 5) = 0.2\(\overline 7\)

For 6, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 7, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 8, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 9, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 10, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 11, we have 1/36 × (-20 - 5) = -0.69\(\overline 4\)

For 12, we have 1/36 × (-25 - 5) = -0.69\(\overline 4\)

The expected value of the winnings is given as follows;

0.41\(\overline 6\) + 0.41\(\overline 6\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.41\(\overline 6\) + 0.41\(\overline 6\) + -1.3\(\overline 8\) -1.3 - 0.69\(\overline 4\) - 0.69\(\overline 4\) = -0.97\(\overline 2\)

Therefore, the expected value = $-0.97\(\overline 2\), which is one is expected to lose $0.97\(\overline 2\)

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Answer:

Total length of the road = 6 3/4 miles.

Each markers are spaced at a distance = 1/8 of a mile.

Step-by-step explanation:

Total length of the road ÷ each marker space =

a) 6 3/4 ÷ 1/8.

b) In order to solve it, we need to convert that fraction into improper fraction:

6 3/4 = 27/4

6 3/4 ÷ 1/8 = 27/4 ÷ 1/8

We need to convert division sign into multiplication sign and flip the second fraction.

27/4 × 8/1

then simplify to get

27  × 2 = 54.

There would be total number of 54 markers of lengths (1/8) of a mile.

The probability of getting heads or tails is 1/2 or 0.5. This means that the probability of getting heads in a single toss of a fair coin is 0.5.

Likewise, the probability of getting tails is also 0.5. Therefore, the probability of getting heads in two consecutive tosses is:0.5 x 0.5 = 0.25. In three consecutive tosses, the probability of getting heads is:0.5 x 0.5 x 0.5 = 0.125. The probability of getting heads in four consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 = 0.0625. Similarly, the probability of getting heads in five consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.03125. The probability of getting heads in six consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.015625.Therefore, the probability of getting heads or tails when a coin is tossed six times is 1 or 100%.ExplanationThe probability of getting heads or tails is 1/2 or 0.5. This means that the probability of getting heads in a single toss of a fair coin is 0.5. Likewise, the probability of getting tails is also 0.5. Therefore, the probability of getting heads in two consecutive tosses is:0.5 x 0.5 = 0.25.

In three consecutive tosses, the probability of getting heads is:0.5 x 0.5 x 0.5 = 0.125. The probability of getting heads in four consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 = 0.0625. Similarly, the probability of getting heads in five consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.03125. The probability of getting heads in six consecutive tosses is:0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.015625.Therefore, the probability of getting heads or tails when a coin is tossed six times is 1 or 100%. More Than 100 WordsThe probability of getting heads or tails when a fair coin is tossed is 1/2 or 0.5. The probability of getting the same result twice in a row is the product of the probability of getting that result on the first toss and the probability of getting it on the second toss. Therefore, the probability of getting heads twice in a row is:0.5 x 0.5 = 0.25. The probability of getting the same result three times in a row is the product of the probability of getting that result on each of the three tosses. Therefore, the probability of getting heads three times in a row is:0.5 x 0.5 x 0.5 = 0.125.The probability of getting the same result four times in a row is the product of the probability of getting that result on each of the four tosses. Therefore, the probability of getting heads four times in a row is:0.5 x 0.5 x 0.5 x 0.5 = 0.0625. The pattern continues in this way for five and six consecutive tosses.The probability of getting either heads or tails on any single toss is 1/2 or 0.5. Therefore, the probability of getting either heads or tails when a fair coin is tossed six times is 1 or 100%.

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Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

Answer:

i tryied, im not sure, srry :<

stay safe either way! :D

The vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩

Given the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y), you are asked to compute f(1,2)−f(0,1).

Step 1: Evaluate f(1,2) and f(0,1).
f(1,2) = ⟨1(2), 1(1)⟩ = ⟨2, 1⟩
f(0,1) = ⟨1(1), 1(0)⟩ = ⟨1, 0⟩

Step 2: Compute f(1,2) - f(0,1).
To find the difference between two vectors, subtract the corresponding components of the vectors.
f(1,2) - f(0,1) = ⟨2, 1⟩ - ⟨1, 0⟩ = ⟨2-1, 1-0⟩ = ⟨1, 1⟩

Therefore, the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩.

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Answer:y=3x-4

Step-by-step explanation:

you add 5 on both sides

simplify

and get y on one side

slope is 3

the y intercept is -4

Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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