Hobi mows two lawns. The first lawn is 7 feet long and 3 feet wide.
The area of the second lawn is 4 times as big but has the same
width as the first.
What is the length of the second lawn?

Answer:

a & c are the correct answer

Step-by-step explanation:

Answer:

yur

Step-by-step explanation:

Answer:

53/99 I hope it helps you

The eigenvectors of the given matrix are \(v_1\) = [3/4, 1] and \(v_2\) = [1, 1].

To find the eigenvectors of a matrix, we need to solve the equation (A - λI)v = 0, where A is the matrix, λ is the eigenvalue, I is the identity matrix, and v is the eigenvector.

Given the matrix A:

A = \(\begin{bmatrix}11 & -12 \\16 & -17 \\\end{bmatrix}\)

We are looking for the eigenvectors corresponding to eigenvalues \(\lambda_1\) = -5 and \(\lambda_2\) = -1.

For \(\lambda_1\) = -5:

We solve the equation (A - (-5)I)\(v_1\) = 0:

(A - (-5)I)\(v_1\) = [[11, -12],

[16, -17]] - [[-5, 0],

[0, -5]]\(v_1\)

Simplifying, we have:

[[16, -12],

[16, -12]] \(v_1\) = [[0],

[0]]

This leads to the following system of equations:

16u - 12b = 0

16u - 12b = 0

We can see that these equations are dependent on each other, so we have one free variable. Let's choose b = 1 to make calculations easier.

From the first equation, we have:

16u - 12(1) = 0

16u - 12 = 0

16u = 12

u = 12/16

u = 3/4

Therefore, the eigenvector corresponding to eigenvalue \(\lambda_1\) = -5 is:

\(v_1\) = [u] = [3/4]

[1]

For \(\lambda_2\) = -1:

We solve the equation (A - (-1)I)\(v_2\) = 0:

(A - (-1)I)\(v_2\) = [[11, -12],

[16, -17]] - [[-1, 0],

[0, -1]]\(v_2\)

Simplifying, we have:

[[12, -12],

[16, -16]]\(v_2\) = [[0],

[0]]

This leads to the following system of equations:

12u - 12b = 0

16u - 16b = 0

Dividing the second equation by 4, we obtain:

4u - 4b = 0

From the first equation, we have:

12u - 12(1) = 0

12u - 12 = 0

12u = 12

u = 12/12

u = 1

Substituting u = 1 into 4u - 4b = 0, we have:

4(1) - 4b = 0

4 - 4b = 0

-4b = -4

b = -4/-4

b = 1

Therefore, the eigenvector corresponding to eigenvalue \(\lambda_2\) = -1 is:

\(v_2\) = [u] = [1]

[1]

In summary, the eigenvectors corresponding to the eigenvalues \(\lambda_1\) = -5 and \(\lambda_2\) = -1 are:

\(v_1\) = [3/4]

[1]

\(v_2\) = [1]

[1]

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Answer:

you can download app called symbolab

Answer:

5/32a¹³b i think

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

10 potatoes = 15 mashed

15 potatoes = 17.5 mashed

Answer:

Step-by-step explanation:

fdjajfhkajhffjjjsa

this trangle is square angle trangle 90

19+24=43

90-43=47 answer is 47

Answer:

tan 24 degrees = perpendicular/ base

tan 24= x/19

0.445= x/19

0.445×19 = x

x = 8.445, answer

Answer: A positive shape.

Step-by-step explanation:

I mean, that's just what it's called.

To find the average quarterly loads for the rest of the years, you can use the formula below:

Average Quarterly Load = Total Annual Load  4 For example, let's say the total annual load for Year 1 is 800.

To find the average quarterly loads for Year 1, we would divide 800 by 4 to get an average quarterly load of 200. Then, you can use this average quarterly load to find the seasonal indices for each quarter of each year.To find the seasonal index for a given quarter and year, you would divide the actual quarterly load by the average quarterly load for that year.

For example, let's say the actual load for Quarter 1, Year 1 is 240. To find the seasonal index for this quarter and year, we would divide 240 by 200 to get a seasonal index of 1.2. You would repeat this process for each quarter and year to find the seasonal indices for all quarters and years.

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A moderator variable is a variable that affects the strength or direction of the relationship between an independent variable and a dependent variable. In other words, it influences the degree to which the independent variable impacts the dependent variable.

When a third variable is included in the analysis, it is important to identify its role in the relationship between the independent and dependent variables. If the third variable changes the relationship between the two variables in an important way, then it is likely acting as a moderator variable. This means that the relationship between the independent and dependent variables is not as straightforward as originally thought, and that the third variable must be considered when analyzing the relationship.

For example, imagine a study that examines the relationship between exercise and weight loss. The independent variable is exercise, the dependent variable is weight loss, and a third variable could be age. If age is found to moderate the relationship between exercise and weight loss (i.e., older individuals may not experience the same weight loss benefits from exercise as younger individuals), then age is considered a moderator variable.

In summary, including a third variable in the analysis can reveal important information about the relationship between the independent and dependent variables. A moderator variable specifically changes the strength or direction of this relationship and must be carefully considered during analysis.

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Answer:

68.5 mph

Step-by-step explanation:

191.8 ÷ 2.8 = 68.5

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

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The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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Answer:

yes

Step-by-step explanation:

Answer:

The number 8 is a rational number.

Step-by-step explanation:

That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1. Likewise, 3/4 is a rational number because it can be written as a fraction.

Answer:

Not equivalent

Step-by-step explanation:

2/3 and 4/5 are not equal.

Hope this helps!

Answer:

Not equivalent

Step-by-step explanation:

2:3 is the same as 4:6, and so on.(divide or multiply both of the numbers in the same ration to get an equivalent ration

The union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].

What is an interval?

⇒ An interval is an expression that involves a subset of numbers on the actual line. These intervals contain all the actual numbers between the two numbers in the interval.

There are three types of intervals, these are:

⇒ The intervals can be joined if in the math problem the result is between one end of the real line and the other end of the real line. There are two intervals with the sign of union in the middle of them.

The representation of the union of these intervals is given as follows:(2,3]∪[3,4]  , the union is denoted by ∪

Now as in every interval the three is part, we can express this union of this set as one in the following way:

⇒ (2,4]

Hence, the union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].

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Answer: i belive x=1

27-28=1

2x-x

x

Step-by-step explanation: hope this helps

Answer:

its y=2

Step-by-step explanation:

Answer:

96/x

Step-by-step explanation:

When two variables x and y vary inversely, their product is a constant. Therefore, the function that models the inverse variation between x and y is:

x*y = k

where k is the constant of proportionality.

We can use the given information to find the value of k:

x = 12 when y = 8

so, k = xy = 128 = 96

Now we can use this value of k to write the function that models the inverse variation:

x*y = 96

To find the inverse variation, we divide both sides by y,

x = 96/y

Alternatively, we can write y = 96/x

So, the function that models the inverse variation between x and y is either x = 96/y or y = 96/x

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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We know that 8 tables will be needed to place 32 people using simple mathematical operations.

So, we know that:
There is a total of 32 people.

Each table can have 4 people on it.

So, a number of tables needed to place 32 people:

32/4

8

Therefore, we know that 8 tables will be needed to place 32 people using simple mathematical operations.

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Answer:

b.four less than three times a number

Step-by-step explanation:

because it's -4 , it will be four less than

and ×3 is three times the number

Answer:

b. four less than three times a number

Step-by-step explanation:

Got it right on the test

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

Considering the given box plots, it is found that:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles.

d) Athlete B had a greater median distance.

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

Hence, for Athlete A, we have that:

For Athlete B, we have that:

Hence:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles(as it is less than his median).

d) Athlete B had a greater median distance.

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For solving these equation, it is important to isolate the variable to then solve it.

In this first equation,

3(4+x)=x+6

12+3x=x+6

12+2x=6

2x=-6

x=-3

to prove this, just substitute x value back into equation;

3(4-3)=-3+6

3(1)=3

3=3

Same for the next equations;

1+2x-x=x-5+x

1+x=2x-5

1=x-5

6=x

Then substitute this value back into equation;

1+2(6)-6=6-5+6

1+12-6= 12-5

7=7

Answer:

1. x = -3

2. x = 6

Step-by-step explanation:

3(4 + x) = 6 + x

Distribute

3 · 4 = 12

3 · x = 3x

12 + 3x = 6 + x

Subtract x on both sides.

3x - x = 2x

x - x = 0

Subtract 12 on both sides.

12 - 12 = 0

6 - 12 = -6

Divide 2 on both sides.

2x ÷ 2 = x

-6 ÷ 2 = -3

x = -3

Check: 3(4 - 3) = 6 - 3

12 - 9 = 3 TRUE

1 + 2x - x = x - 5 + x

Combine like terms.

x + 1 = 2x + -5

Subtract 2x on both sides.

−x + 1 = −5

Divide -1 on both sides.

-x ÷ -1

-6 ÷ -1

x = 6

Check: 1 + 2x - x = x - 5 + x

1 + 2(6) - 6 = 6 - 5 + 6

13 - 6 = 7 TRUE

Answer:

the answer is $13

before tax the CD price was $13

Step-by-step explanation:

First, find the price of each CD including tax, we know that they're all the same price so we can find this by division. Next, we subtract the amount of sales tax:

Answer:

261.3cm3

Step-by-step explanation:

The volume of the cylinder is 261.3 cm³ if the height of 7.2 cm and diameter of 6.8 cm option first is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

We have diameter = 6.8 cm

The radius r = 6.8/2 = 3.4 cm

h = 7.2 cm

π = 3.14

\(\rm V = (3.14) (3.4)^2 (7.2)\)

V = 261.3 cm³

Thus, the volume of the cylinder is 261.3 cm³ if the height of 7.2 cm and diameter of 6.8 cm option first is correct.

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Answer:

53424

Step-by-step explanation:

that is the answer

Answer:

60%

Step-by-step explanation:

3 divided by 5 is 0.6

Multiply this by 100 to get the percent and you will end ups with 60%

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