​solve the system by using any method. if a system does not have one unique solution, state whether the system is inconsistent or whether the equations are dependent. 2(3x y)

There were 17 students in the group, and each student paid the same whole number of dollars for the concert tickets.

To determine the number of students in the group, we need to find a whole number that is greater than 2 and less than 20, and when multiplied by another whole number, results in a product of $391.
First, let's list some factors of 391:
1 x 391 = 391
17 x 23 = 391

Since we are looking for a number of students, we can eliminate the factorization of 1 x 391 because that would mean there is only one student in the group, which contradicts the condition in the question.
Now, let's consider the factorization of 17 x 23. In this case, the number of students in the group would be the smaller factor, which is 17. Therefore, there were 17 students in the group.
To summarize, there were 17 students in the group, and each student paid the same whole number of dollars for the concert tickets.

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The average number of medals won for the top ten total number of medals awarded at the 1996 summer olympic games in Atlanta Georgia is 46.7.

The top ten total number of medals awarded at the 1996 summer Olympic games in Atlanta Georgia include:

USA - 101

Russia - 63

Germany - 65

China - 50

France - 37

Italy - 35

Australia - 41

Cuba - 25

Ukraine - 23

South Korea - 27

Therefore, it should be noted that the average will be the addition of the numbers divided by 10. This will be:

= (101 + 63 + 65 + 50 + 37 + 35 + 41 + 25 + 23 + 27)/10

= 467/10

= 46.7

Therefore the mean of the number of medals won is 46.7.

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Answer:

2 out of 100, 2, 0.02 out of 100, and 0.02

Step-by-step explanation:

Answer:

I feel as if its 0.0002

and 2%

Answer: B = False

Step-by-step explanation: Doesn't need one mainly because a rational  function has an equation and no expression, most rational functions may have one. For example 2x + 7 x + 5x = ???

Answer:

z = 68

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the opposite internal angles

z = 39+29

z = 68

Answer:

\(\left(x+2\right)\left(x+3\right)\)

Step-by-step explanation:

If the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60, therefore, the answer is (c) 0.60.

Based on your question,  the coefficient of determination (R²) for a simple linear regression, given the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60.

To calculate R², follow these steps:

1. Calculate the total sum of squares (SST): SST = SSE + SSM
2. Divide SSM by SST: R² = SSM / SST

Now, let's apply the values from your question:
To calculate, we use the formula:
= SSM / SSM + SSE)

Plugging in the given values, we get:
= 60 / (60 + 40) = 0.6
SST = SSE + SSM = 40 + 60 = 100
R² = SSM / SST = 60 / 100 = 0.60

So, the coefficient of determination (R²) is 0.60, which corresponds to option (c).

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The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.

What does "linearly dependent" mean?

A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.

                  This feature applies to matrices or vectors. adjective that depends on linearity.

What does it mean to be linearly dependent?

A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.

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The equation of the sphere in standard form is:

(x + 9/2)² + (y - 1)² + (z + 4)² = 3

And, the center of the sphere is at the point (-9/2, 1, -4) and the radius is sqrt(3).

For the equation of the sphere x²+y²+z²+9x-2y+8z+21=0 in standard form, we complete the square for the x, y, and z variables.

First, for the x variable, we add and subtract (9/2)² = 81/4:

x² + 9x + 81/4 + y² - 2y + z² + 8z + 21 = 0 + 81/4

Simplifying, we get:

(x + 9/2)² + y² - 2y + (z + 4)² - 55/4 = 0

Next, for the y variable, we add and subtract 1:

(x + 9/2)² + (y - 1)² + (z + 4)² - 59/4 = 0

Finally, for the z variable, we add and subtract 4² = 16:

(x + 9/2)² + (y - 1)² + (z + 4)² - 3 = 0

So the equation of the sphere in standard form is:

(x + 9/2)² + (y - 1)² + (z + 4)² = 3

Therefore, the center of the sphere is at the point (-9/2, 1, -4) and the radius is sqrt(3).

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Complete question is shown in image.

Answer:

a) y-7=-4(x-2)

B) I don't know how to put a graph on brainly :/

Answer:

Step-by-step explanation:

To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction.  If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055.  Next, multiply the selling price of the purchased or sold item by this decimal fraction.  If, for example, the selling  price is $100, the sales tax is 0.055($100) = $5.50

The height of the cup that can be made from the least amount of paper is 17 cm.

A cone-shaped paper cup is to hold 100 cubic cm of water. Find the height and the radius of the cup that can be made from the least amount of paper.

Use the volume of a cone formula: (1/3)*pi*r^2*h = V; to find h in terms of r.

(1/3)*pi*r^2*h = 100

multiply equation 3 to get rid of the denominator

pi*r^2*h = 300

h = 300/(pi * r^2)

:

Using the surface area equation: SA = pi*r^2 + (pi*r*L), find L using r and h

L = \(\sqrt{h^{2} +r^{2} }\)

Substitute above for L in the SA equation

:

\(SA = \pi r^{2} + \pi r\sqrt{\frac{300}{\pi r^{2} } + r^{2} }\)

:

Using this equation in my TI83, the graph showed the minimum radius to occur at appox 2.37 cm

:

Find the height using this value:

h = 17 cm

Check solution by finding the volume

V = (1/3) * pi * 2.37^2 * 17

V = 99.994 ~ 100 cm

Hence , the height of the cup that can be made from the least amount of paper is 17 cm.

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Step-by-step explanation:

As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.

When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:

n choose k = n! / (k! * (n-k)!)

where n is the total number of items in the group and k is the number of items to be chosen.

In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).

Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:

(1 choose 1) * (9 choose 1) = 1 * 9 = 9

Therefore, there are 9 ways to choose the passengers to fill the seats.

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Using the given information, we can evaluate the integral ∫ 7 0 [ 4 f ( x ) / 5 g ( x ) ] d x to be approximately 44.8.

We can use the properties of integrals to simplify the given integral:

∫ 7 0 [ 4 f ( x ) / 5 g ( x ) ] d x = 4/5 ∫ 7 0 [f(x)/g(x)] d x

We can then use the given information to find the value of the integral ∫ 7 0 [f(x)/g(x)] d x:

∫ 7 0 [f(x)/g(x)] d x = (∫ 7 0 f(x) d x) / (∫ 7 0 g(x) d x) = 31/14

Substituting this back into the original integral, we get:

∫ 7 0 [ 4 f ( x ) / 5 g ( x ) ] d x = 4/5 * (∫ 7 0 [f(x)/g(x)] d x) ≈ 44.8

Therefore, the integral ∫ 7 0 [ 4 f ( x ) / 5 g ( x ) ] d x is approximately equal to 44.8.

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Answer:

B.3x+8=66

Step-by-step explanation:

i think ito po Ang answer hehehe

Part A

x = some unknown number

x+8 = add on 8 to the number

3(x+8) = triple the previous result

Therefore, one equation to set up is 3(x+8) = 66

This is the same as 3x+24 = 66 because 3(x+8) = 3x+3*8 = 3x+24. Use the distributive property to multiply that outer 3 to each term inside.

C)  3x+24 = 66

D)   3(x+8) = 66

============================================================

Part B

Let's solve for x. I'll show the steps for each equation mentioned. When you write out the steps, you probably only need to pick one equation to solve.

3(x+8) = 66

x+8 = 66/3

x+8 = 22

x = 22-8

x = 14

Or

3x+24 = 66

3x = 66-24

3x = 42

x = 42/3

x = 14

Either way, we get the same x value. To confirm this answer, replace x with 14 in either equation and simplify fully. You should get 66 on both sides.

Answer: During the Russian war, The Russians and Germans were at war with each other, Beating them brutally.

Step-by-step explanation:

Answer:

153.938 sq in.

Step-by-step explanation:

7 x 7 = 49

49 x pi = 153.938

pi = 3.14

Answer:

they all have a probability of 1/3

Also called the circumflex, the caret is the symbol ( ^ ) above the 6 key on a standard qwerty keyboard.

In mathematics, the caret represents an exponent, such as a square, cube, or another exponential power.

Example attached below

The monthly payment for a 15-year term mortgage with a 15% down payment on a $315,200.00 purchase price for a household with a 711 credit score is $2,408.60.

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The answer is A. $85.50

When we add or subtract fractions, we always have to make sure that all the fractions involved have a common denominator.

We're given:

To find the fraction representing the remaining time, subtract \(\dfrac{1}{6}\) from \(\dfrac{2}{3}\):

\(\dfrac{2}{3}-\dfrac{1}{6}\)

⇒ Make both denominators the same; multiply \(\dfrac{2}{3}\) by \(\dfrac{2}{2}\) to change its denominator to 6:

\(= \dfrac{4}{6}-\dfrac{1}{6}\\\\= \dfrac{3}{6}\)

⇒ Simplify the fraction:

\(= \dfrac{1}{2}\)

Therefore, \(\dfrac{1}{2}\) the hour remained.

\(\dfrac{1}{2}\) the hour remained

Answer:

A, 12ft, 16ft, 20ft.

Step-by-step explanation:

3,4,5 Triangles are right triangles, Answer A on the Paper says 12:16:20 which is proportinate to said ratio, hence the answer is A

Answer:

8 months more

Step-by-step explanation:

first calculated how many months total she can donate: 8000/250 = 32 months

2 years has 24 months

subtract 32 with 24 which is 8 and that is how many months left that she can donate

Answer:

it should be 40º but it doesn't look like that's an option...

Step-by-step explanation:

so we know that the inside of a triangle is equal to 180º and for the triangle on the right we already have two angles. so we can add the angles (41 + 72 = 113) and then subtract that from 180 to find the missing angle.

180 - 113 = 67º

now we also know that vertical angles are congruent/the same. so the vertice that is connecting the two triangles is also 67º. we can do the same thing we did with the other triangle, add the angles up and subtract from 180.

67 + 73 = 140

180 - 140 = 40º

we know this is true because when you add all the angles up it equals 180.

67 + 73 = 140 + 40 = 180

44 would put it at 184º which is not correct, and 150 would put it at 290ª which is also not correct...

The values of x and y in the given simultaneous equation is;

x = 4.6 or x = 1

y = -2.2 or y = 5

The two simultaneous equations given are;

x² + y² = 26   -----(1)

2x + y = 7     -----(2)

Making y the subject in eq 2 gives;

y = 7 - 2x

Put 7 - 2x for y in eq 1 to get;

x² + (7 - 2x)² = 26

x² + 49 - 28x + 4x² = 26

5x² - 28x + 23 = 0

Using online quadratic equation calculator gives;

x = 4.6 or x = 1

Thus;

y = 7 - 2(4.6)

y = -2.2

or

y = 7 - 2(1)

y = 5

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