Instructions: a) Graph both of the lines (hint: hold shift to draw a straight line) b) state the point of intersection.

Answer:

1. 21 hours

2. 21 hours

Step-by-step explanation:

1. If we add up all the time it takes them to build one dog house, we get 210 minutes or 3.5 hours. All we have to do is multiply this by 6 because they are building 6 of these exact dog houses. We would then get the answer 21 hours.

2. For this one, it would take Reece double the time it would take both friends. We know if they are both working it takes 3.5 hours so if it is just one of them working it would take 7 hours. So if she builds 3 it will take 21 hours.

Answer:

x < 1

x > -1

Step-by-step explanation:

The function is 4y - 7x = 0.

We need to determine whether y varies directly with x. If so, we need to identify the constant of variation.

What is direct variation?

Direct variation is a relationship between two variables in which one variable is a constant multiple of the other variable. This constant multiple is called the constant of variation.

Let's put the given function in the form of y = kx + b, where k is the constant of variation and b is the y-intercept.

4y - 7x = 0

=> 4y = 7x

=> y = (7/4)x

This function is in the form of y = kx, where k = 7/4.

Therefore, we can say that y varies directly with x, and the constant of variation is 7/4.

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Eigenvalues of A: We begin by calculating the eigenvalues of A by solving the characteristic equation det(A - λI) = 0. Where I is the identity matrix of the same size as A.

1. First, we calculate A - λI :A - λI = 1 - λ -2 1 -2 1 1 1 -2 - λ

2. Next, we calculate det(A - λI): det(A - λI) = (1 - λ)[(-2)(-2 - λ) - 1] - 1[(-2)(1) - (-2)(1)] + 1[1(-2) - 1(1 - λ)] = (1 - λ)[4 + λ] + 2 + 1 + λ = λ³ - 6λ² - 7λ = λ(λ - 7)(λ + 1)

Therefore, the eigenvalues of A are λ₁ = 0, λ₂ = 3, λ₃ = -3.

Eigenvectors of A: Once we have obtained the eigenvalues, we can proceed to find the eigenvectors of A. An eigenvector v of A corresponding to an eigenvalue λ satisfies the equation Av = λv. We will solve this equation for each eigenvalue of A.1. For λ₁ = 0, we have A - 0I = A, and we must solve the equation Av = 0.

We can do this by row reducing A to get its row-echelon form [A|0]:1 -2 1 0 -2 1 1 1 -2 0 0 0

The solutions of this system (up to scaling) are given by: x₁ = 2x₃ - x₂ and x₃ = x₃, where x₁, x₂, x₃ are the components of the eigenvector v₁ corresponding to λ₁ = 0.

Therefore, the eigenvector corresponding to λ₁ is v₁ = (2, -1, 1).2. For λ₂ = 3, we have A - 3I: A - 3I = -2 -2 1 -2 -2 1 1 1 -5

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Answer:

move the anomalous results

numbers that don go or are not similar to the other numbers

add the numbers and divide by how many numbers you added

y=2x+4 is the equation of line A, y=-2/3x+12 is the equation of line B and  (3, 10) is the solution

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For Line A

(1, 6) and (2, 8)

slope=8-6/2-1=2

Now y intercept

6=2+b

b=4

y=2x+4 is the equation of line A

Now line B, (3, 10) and (0, 12)

m=-2/3

10=-2+b

12=b

y=-2/3x+12 is the equation of line B.

Now we have to find solution

2x+4=-2/3x+12

2x+2/3x=8

6x+2x=24

8x=24

x=3

Now y=6+4=10

So (3, 10) is the solution

Substitute the solution values in any of the equation

10=2(3)+4

10=10

Hence, y=2x+4 is the equation of line A, y=-2/3x+12 is the equation of line B and  (3, 10) is the solution

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The graph is plotted and attached

Using the graph the values are traced to be

Using the graphs it can be shown that the both values are equal at

The values are traced in the graph by forming an imaginary line at the given point and tracing the point to the line

Where the point coincide with the line or graph, is also traced to the corresponding side of the graph to get the other point

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The set of data that provides the clearest difference between the two samples is option (c): One sample has M = 20 with s2 = 10 and the other has M = 30 with s2 = 10. The reason is that the standard deviation is higher in both samples compared to the other options, and the means of the two samples are also relatively far apart, making the difference between the two samples clearer. I

n options (a) and (b), the means are not far enough apart to provide a clear difference, and in option (d), while the means are farther apart than in option (b), the standard deviation is the same, which makes the difference less clear.

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Answer:

B.

Step-by-step explanation:

C=3.14D

Circumference is equal to pi multiplied by the diameter, so 50 times 3.14 is equal to 157. 157 is closest to 160.

Answer:

B

Step-by-step explanation:

the actual circumference is 157.08 but it asks you to pick the closest one, which is 160. hope this helps!

Answer:

n = -6

Step-by-step explanation:

Divide both sides by 2.

1. n+5=−1

Subtract 5 from both sides.

2. n=−1−5

Simplify  -1 − -5  to −6.

3. n = −6

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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The equation in spherical coordinates is r(φ, θ) = 8 units.

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

\(\rm x^2 + y^2 + z^2 = R^2\)

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

\(\rm x^2 + y^2 + z^2 = 64^2\)

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

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Answer: b is the y intercept, and m is the slope, y is the same as (fx)

Step-by-step explanation:

To find the equation of the straight line, we use the slope-intercept form, y = mx + b, where m is the slope of the line, b is the y-intercept of the line. We can find the equation of a line in the form of y = mx + b, if the coordinates of points forming the line are known to us.

Answer:

6 people including alex

Step-by-step explanation:

1 liter = 1000 ML

3 X 1000 = 3000 ML

3000/500=6 glasses of 500 ml

:))

Step-by-step explanation:

First, multiply -4 and 8 to get -32.

36-32+18

Subtract:

36-32=4

Add:

4+18=22, answer is 22.

Hope this helps!

Answer:

A: Adjacent angles

Answer:

A. adjacent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance traveled in a hour = 80 miles

Distance traveled in 5 hours = 80 * 5 = 400 miles

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Answer:

Step-by-step explanation:

To calculate the number of Democrats and Republicans who voted for the Clean Water bill, we need to use the information provided in the question.

First, we can calculate the number of Democrats who voted for the bill by multiplying the total number of Democrats by the percentage who voted for it:

46% of 205 Democrats = 0.46 x 205 = 94.3 Democrats (rounded to the nearest tenth)

Therefore, approximately 94 Democrats voted for the Clean Water bill.

Next, we can calculate the number of Republicans who voted for the bill by multiplying the total number of Republicans by the percentage who voted for it:

48% of 230 Republicans = 0.48 x 230 = 110.4 Republicans (rounded to the nearest tenth)

Therefore, approximately 110 Republicans voted for the Clean Water bill.

Note that these are approximations since we rounded to the nearest tenth.

Answer:

whats the question

Step-by-step explanation:

......1.....

Answer:

VOUCH

Step-by-step explanation:

The median lead level in the water is 7 ppm, so option (C) is correct. This means that half of the measured lead levels are below 7 ppm and half are above 7 ppm.

If "bdl" is mοstly interpreted as 0 in this cοntext, then we can cοmpute the mean and median οf the given data set, excluding the "bdl" values.

The data set withοut the "bdl" values is: 5, 7, 12, 0, 10, 8, 0, 20, 6.

The mean lead level can be cοmputed by summing all the values and dividing by the number οf nοn-"bdl" values. In this case, the sum is 68 and there are 8 nοn-"bdl" values, sο the mean lead level is 68/8 = 8.5 ppm.

The median lead level is the middle value when the data set is arranged in ascending οrder. Arranging the nοn-"bdl" values in ascending οrder, we get: 0, 0, 5, 6, 7, 8, 10, 12. The middle value is 7 ppm, sο the median lead level is 7 ppm.

Based οn these calculatiοns, the cοrrect statement is:

(c) The median lead level in the water is 7 ppm.

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Complete question:

When testing water for chemical impurities, results are often reported as bdl, that is, below detection limit. The following are the measurements of the amount of lead in a series of water samples taken from inner-city households (in parts per million): 5, 7, 12, bdl, 10, 8, bdl, 20, 6 Which of the following statements can we be sure is true?

(a) The mean lead level in the water is about 10 ppm.
(b) The mean lead level in the water is about 9 ppm.
(c) The median lead level in the water is 7 ppm.
(d) The median lead level in the water is 8 ppm.
(e) Neither the mean nor the median can be computed because some values are unknown.

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer: A.

Step-by-step explanation:

Most of the function f(x) has a domain (- infinity, positive infinity), and the function in the picture is the same. So, the answer is A

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

The Linear equation in one variable is an algebraic equation of degree one.

it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

Takaya can eat three slices of pizza in five minutes.

for half an hour it would be 6 times five minutes.

So, in half an hour Takaya can eat 3 × 6 = 18

Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

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Using Pythagoras' theorem we found that when the angle is greater than 90°, the distance between the cue ball and the pocket is greater than 10 inches.

What is Pythagoras' Theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean Theorem. According to this statement, the square of the side of a triangle known as hypotenuse is equal to the sum of squares of the other two sides of the triangle.

The complete question is given below in the image.

It is given that a triangle is formed by the cue ball, eight ball and pocket as shown below.

The ∠y is greater than 90°.

The two sides of the triangle are 8 in. and 6in.

Two find the minimum distance between the cue ball and the pocket, we assume that the minimum angle formed by the paths of the cue ball and eight ball is 90°.

That is ∠y = 90°.

Then the triangle becomes a right-angle triangle.

So the distance x becomes the hypotenuse.

Using the Pythagoras theorem, we can find the hypotenuse of the triangle.

x² = 8² + 6²

x² = 100

x = 10 inches.

This is the minimum distance between the cue ball and pocket when y = 90°.

Therefore using Pythagoras' theorem we found that when the angle is greater than 90°, the distance between the cue ball and the pocket is greater than 10 inches.

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the derivative of the function F(t) = e^(2t)sin(26) is F'(t) = 2e^(2t)sin(26)

To find the derivative of a function, we use the rules of calculus. In this case, we have the function F(t) = e^(2t)sin(26), which is a combination of two functions - e^(2t) and sin(26).

To find the derivative of F(t), we need to take the derivative of each function separately and then multiply them together using the product rule. The derivative of e^(2t) is simply 2e^(2t), and the derivative of sin(26) is 0 (since sin(26) is a constant). So, using the product rule, we get:

F'(t) = (2e^(2t))sin(26) + e^(2t)(cos(26))(0)
F'(t) = 2e^(2t)sin(26)

Therefore, the function. F(t) = e2tsin(26) has derivative of 2e^(2t)sin(26)

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The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

The correct option is B.

The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:

a² + b² = c².

The length of the rectangle = 8

The width of the rectangle = w

The hypotonus of the rectangle = p

Using the Pythagoras formula:

P² = L² + W²

P = √(L² + W²)

Putting the value of Length = 8

P = √(8² + W²)

P = √(64 + W²)

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

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Answer:

1) r >-5       2) x >9

Step-by-step explanation:

The value of the ratio x : y : z is 1/2 : /3 : 5/18

From the question, we have the following parameters that can be used in our computation:

x:y = 1/2:1/3 and y:z = 1/5:1/6

Express the ratio properly

So, we have the following representation

x : y = 1/2 : 1/3 and y : z = 1/5 : 1/6

Multiply the ratio y : z = 1/5 : 1/6 by 5/3

So, we have

y : z = 1/3 : 5/18

So, we have

x : y : y : z = 1/2 : 1/3 : 1/3 : 5/18

Remove the repetition

This gives

x : y : z = 1/2 : /3 : 5/18

Hence, the ratio is 1/2 : /3 : 5/18

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