2 Two burgers and three fries have 1740 calories. A burger has 170 more calories than a fry. How many
calories are in each?

Answer:

43

Step-by-step explanation:

-2+3×15

45-2

43 is the answer

The matrix E = [[5, 2], [3, 4]] has eigenvalues λ₁ = 6 and λ₂ = 3, and corresponding linearly independent eigenvectors.

(a) To compute the eigenvalues of matrix E, we solve the characteristic equation det(E - λI) = 0, where I is the identity matrix. Evaluating this equation gives us (5 - λ)(4 - λ) - 2(3)(2) = 0, which simplifies to λ² - 9λ + 14 = 0. Solving this quadratic equation yields λ₁ = 6 and λ₂ = 3.

(b) To find the eigenvectors, we substitute each eigenvalue into the equation E - λI = 0 and solve the resulting system of linear equations. For λ₁ = 6, we have the equation E - 6I = 0, which leads to the eigenvector [1, -1]. For λ₂ = 3, we obtain the equation E - 3I = 0, which gives the eigenvector [2, 1].

(c) To prove that these eigenvectors are linearly independent, we consider the linear combination c₁[1, -1] + c₂[2, 1] = [0, 0]. This implies that c₁ + 2c₂ = 0 and -c₁ + c₂ = 0. Solving this system of equations, we find that c₁ = c₂ = 0 is the only solution. Therefore, the eigenvectors [1, -1] and [2, 1] are linearly independent.

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Answer:

https://brainly.com/question/6423861

Step-by-step explanation:

Use link and give me 5 stars and brainliest

In this data set, the year is the independent variable, and the population is the dependent variable. The population depends on the year in which it is measured.

The set of ordered pairs for the relation between year and population is:

{(2001, 6,169,683,257), (2002, 6,248,055,839), (2003, 6,325,991,838), (2004, 6,403,480,654), (2005, 6,480,500,311)}

To graph this relation on a scatter plot, we can plot the year on the x-axis and the population on the y-axis. We can label the x-axis as "Year" and the y-axis as "Population (in billions)".

Here is the scatter plot of the relation:

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(y=3x+7\)

As we know that  the slope-intercept of the line equation is

\(y = mx+b\)

where m is the slope and b is the y-intercept

so comparing the equation \(y=3x+7\) with the slope-intercept of the line equation, we conclude that

\(y = 3x+7\)

\(m = 3\)

So, the slope of the line is \(m = 3\)

As the function is

\(y = 3x+7\)

Now, if we double the slope,

The slope will become: 2m = 2(3) = 6

Therefore, the function of the graph after doubling the slope will become:

\(y = 6x+7\)

Answer:

$586. 36

Step-by-step explanation:

divide $685 by 5, you get 137, then subtract that from the original price and that is its discounted price. then you can increase it by 7% and you see the difference of tax is $36 so your final answer would be $586. 36! hope it helps lol

To have exactly 3 kings in a hand, we need to choose 3 kings out of 4 and 2 non-kings out of 48. This can be done in 4512 ways.


To calculate the number of hands containing exactly 3 kings, we need to use the concept of combinations. We know that there are 4 kings in a deck of 52 cards. To choose 3 kings out of 4, we can use the combination formula, also known as "n choose k," which is written as nCk.

So, the number of ways to choose 3 kings out of 4 is 4C3 = 4.

Next, we need to choose 2 non-kings out of the remaining 48 cards. This can be done using the combination formula again. The number of ways to choose 2 non-kings out of 48 is 48C2 = 1128.

Now, we can use the multiplication principle to find the total number of hands containing exactly 3 kings. We multiply the number of ways to choose 3 kings by the number of ways to choose 2 non-kings:

Total number of hands = 4C3 * 48C2 = 4 * 1128 = 4512.

Therefore, there are 4512 hands that contain exactly 3 kings when 5 cards are randomly chosen from a standard deck.

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Answer:

Hi there!

Your answer is:

slope: -13

y-int: 1

Step-by-step explanation:

The slope is the x coefficient, rise/run

In this case, its -13/1. Which means it has a slope of -13.

The y int is the constant term.

In this case, its 1. Which means it crosses the y axis at 1

Hope this helps

Answer:

The slope is A. 2/3

HOPE THIS HELPS!!!!

Answer:

11/20 is closer to 1/2.

Step-by-step explanation:

To see why, we can look at the number line. The midpoint between 0 and 1/2 is 1/4, and the midpoint between 1/2 and 1 is 3/4. 11/20 is greater than 1/2, but it is closer to 1/2 than it is to 3/4.

Another way to check is to find the distance between 11/20 and each of the values. The distance between 11/20 and 1/2 is 1/20, while the distance between 11/20 and 1 is 9/20. Since 1/20 is smaller than 9/20, 11/20 is closer to 1/2 than it is to 1.

Answer:

\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)

Since the area is zero, the coordinates of the centroid are undefined. This means that the centroid does not exist for this region.

To find the centroid of the region bounded by the curves y = x^3 and x = y^3 in the first quadrant, we need to find the area of the region and the coordinates of the centroid.

First, we can find the area of the region by integrating with respect to x:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

This means that the area of the region is zero, which is not possible. Therefore, we must have made an error in our integration. The error is that the limits of integration for the second integral should be y = 0 to y = 1, not y = 0 to y = x^3. So, let's correct that:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

Now, the area is zero because the region is symmetric with respect to the line y = x, and the areas on either side of this line cancel each other out.

To find the coordinates of the centroid, we need to integrate with respect to x and y:

x-bar = (1/A) * ∫∫[R] x dA

= (1/0) * ∫[0,1] ∫[y^3, y^(1/3)] x dx dy

= undefined

y-bar = (1/A) * ∫∫[R] y dA

= (1/0) * ∫[0,1] ∫[0, x^3] y dy dx

= undefined

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Answer:

N(3,4)

H(2,2)

F(1,-2)

Step-by-step explanation:

Take Point N and move it up one unit then move it 2 units to the left. where ever it lands is your coordinates.

you repeat this process for all the points.

I hope this helps and wasn't confusing!

Answer:

125

Step-by-step explanation:

5 x 5 = 25

25 x 5 = 125

Answer:

the value of 5³ is 125 all you have to do is 5×5×5=125

The equation of the line after dilation is 2.5x - 5.5y = -5.5. So, the correct statement is: The equation of the dilated line is 2.5x - 5.5y = -5.5.

When the line representing the equation x + y = 3 is dilated by a scale factor of 2.5 with the center of dilation at (3, 0), the resulting line will have a different equation.

To find the equation of the dilated line, we need to apply the dilation to each point on the original line.

Let's consider a point (x, y) on the original line x + y = 3. After dilation, this point will be transformed to (2.5(x-3) + 3, 2.5y).

Simplifying the equation, we get:

2.5x - 5.5y = -5.5

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Answer:

6

Step-by-step explanation:

6-1=5

5 x 5= 25

Answer:

$118.75 per payment

Step-by-step explanation:

4850-2000=2850

2850/24 = 118.75

Answer:

118.75

Step-by-step explanation:

he has to pay $4,850 he puts down 2,000

4,850 - 2,000 = 2,850

he makes 24 equal payments  

2,850 divided by 24 = 118.75

118.75 go into 2,850 24 times.

The equation that relates the graph is a) y= - 1/2(x-3)²+2

Here Let put x=7

y= -1/2(x-3)²+2

= -1/2(7-3)²+2

= -1/2(4)²+2

= -1/2(16)+2

= - 8+2

= - 4

Hence (7,-4) is marked.

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Answer:

259 students

Step-by-step explanation:

First, find how many will check out science fiction books

350(0.14)

= 49

Find how many will check out sports books

350(0.12)

= 42

Subtract these amounts from 350

350 - 49 - 42

= 259

So, she should expect 259 students not to check out science fiction and sports books

The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."

A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.

Some key features regarding chi-square test are-

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Answer:

Step-by-step explanation:

Step-by-step explanation:

5 miles = 8km

5×10 = 50 miles

Therefore 8×10 = 80km

Therefore 50 miles = 80km

Check the picture below.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) ~\hfill AB=\sqrt{[ -1- (-5)]^2 + [ 6- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ B(\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill BC=\sqrt{[ 3- (-1)]^2 + [ 2- 6]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}\)

\(C(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill CD=\sqrt{[ -1- 3]^2 + [ -2- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-5}~,~\stackrel{y_2}{2}) ~\hfill DA=\sqrt{[ -5- (-1)]^2 + [ 2- (-2)]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}\)

\(~\dotfill\\\\ \sqrt{32}\implies \sqrt{16\cdot 2}\implies \sqrt{4^2\cdot 2}\implies 4\sqrt{2}\implies \stackrel{\textit{four times that much}}{4(4\sqrt{2})\implies \blacksquare~~ 16\sqrt{2} ~~\blacksquare}\)

It's a rhoumbus as AC and BD both diagonals are perpendicular to each other .

Find one side

AD

So

Perimeter

The exact values of cos(θ) and csc(θ) in terms of fractions, given that tan(θ) = 7/24 and θ is in Quadrant I, are: cos(θ) = 24/25, csc(θ) = 25/7

In Quadrant I, all trigonometric functions are positive. Given that tan(θ) = 7/24, we can find the values of cos(θ) and csc(θ) using the relationships between trigonometric functions.

Given that tan(θ) = 7/24 and θ is in Quadrant I:

We can start by finding the value of sin(θ) using the Pythagorean identity:

sin(θ) = √(1 - cos²(θ))

Since cos(θ) = 24/25 (as previously calculated),

sin(θ) = √(1 - (24/25)²)

= √(1 - 576/625)

= √(49/625)

= 7/25

Now that we have sin(θ) and cos(θ), we can find the remaining values:

cos(θ) = 24/25

csc(θ) = 1/sin(θ) = 1 / (7/25) = 25/7

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Answer:

you will have to pay 427.75 cents.

Step-by-step explanation:

Multiply 7.25 by 59.

Consider a "point" dipole with dipole moment p = pz placed at the origin of a grounded conducting spherical shell of radius a. When we ignore the conducting shell, the electrostatic potential (r, ) at distances large compared to the charge separation.

r is the distance from the origin and θ is the angle between the z-axis and r. The distance r is greater than the dipole moment distance d.

r >> d. The potential can be written as: The potential can be further expressed as to find the potential, we integrate over the entire charge distribution.

We have to integrate over the z-coordinate. For z > d, the potential is: For z < -d, the potential is When we substitute the limits of integration, the integral evaluates to: The potential is the electrostatic potential at distances large compared to the charge separation but small compared to the radius of the shell when we ignore the conducting shell is given by the expression

V(r,θ) = p cosθ/(4πε0r²).

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Answer:

4x+10

Step-by-step explanation:

Answer:

Third option: (1, 0), (2, 0), and (–3, 0)

Step-by-step explanation:

The x-intercepts are the points at which the graph of the function crosses the x-axis.

By reading the question, we can see that:

"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."

So the x-intercepts are:

(-3, 0)

(1, 0)

(2,  0)

Then the correct option is the third one:

"(1, 0), (2, 0), and (–3, 0)"

Answer: Option 3

Step-by-step explanation: Got it right on Edge

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation: