The potters want to buy a small cottage costing $118,000 with annual insurance and taxes of $710. 00 and $2800. 0. They have saved $14,000. 00 for a down payment, and they can get a 5%, 15 year mortgage from a bank. They are qualified for a home loan as long as the total monthly payment does not exceed $1000. 0. Are they qualified?

Answer:

The farmers believed in the principal of federalism

Step-by-step explanation:

edge 2020

The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.

The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.

The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.

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Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

\(2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2\)

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

Answer:

92 is the smaller even integer

Step-by-step explanation:

x = first even integer

x+2 = second even integer

(x) + (x+2) = 186

Combine like terms

2x+2 = 186

Subtract 2 from each side

2x+2-2 =186-2

2x = 184

Divide by 2

2x/2 = 184/2

x = 92

x+2 = 94

Step-by-step explanation:

let,two even consecutive number be x and x+2

now,according to the question

x+x+2=186

or, 2x=186-2

or, 2x= 184

or, x= 184/2

:- x= 92

Hence,

x=92 and x+2= 94

two even consecutive numbers are 92 and 94

Answer:

19, 22.5, 26, 29.5

Step-by-step explanation:

i believe it's going up by 3.5 each time.

Answer:

The vertical intercept is 5y. The slope is 1/2

Step-by-step explanation:

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\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

\( \tan(\theta) = \frac{perpendicular}{base} \\ \)

we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !

\(H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15\)

substituting the value of P in the formula

\( \tan(\theta) = \frac{15}{8} \\ \)

therefore , option ( B ) is correct !

hope helpful ~

Answer:

To compare the two pizzas, we need to calculate their prices per unit area.

Area of a 10-inch pizza = pi x (5)^2 = 78.5 square inches

Price per square inch = $8.99 / 78.5 = $0.1144 per square inch

Area of a 6-inch pizza = pi x (3)^2 = 28.3 square inches

Price per square inch = $5 / 28.3 = $0.1767 per square inch

So the 10-inch pizza is a better buy, as it has a lower price per square inch compared to the 6-inch pizza.

Answer:

A1) Statement : HJ || LK, HL || JK. Reason : (Given)

A2) Statement: ∠KLH ≅ ∠JKK Reason: If ||, then alternate interior ∠'s ≅ (Alternate interior angles theorem)

S) Statement: ∆HKL ≅ ∆KHJ. Reason: CPCTC (Corresponding parts of congruent triangles are congruent)

if this is incorrect, I have a backup answer. Either way I guarantee you that one will be correct.

Answer:

y = 2x + 7

Step-by-step explanation:

Step 1: Find slope

m = (9 - 3)/(1 + 2)

m = 2

y = 2x + b

Step 2: Find b

9 = 2(1) + b

9 = 2 + b

7 = b

Step 3: Rewrite equation

y = 2x + 7

Answer:

B) y - 9 = 2(x - 1)

Step-by-step explanation:

(-2, 3) ;(1,9)

\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2\)

(1, 9 ) ;  m = 2

Equation: \(y - y_{1}=m(x - x_{1})\\\\\)

y - 9 = 2(x - 1)

y - 9 = 2x -2

      y = 2x - 2 + 9

      y = 2x + 7

The answer is the probability of having lunch at least 6 days per week is 0.019 or  1.9%. The probability of having lunch exactly 6 times is 0.017 or 1.7%.

The probability of having lunch together is \($p=40 \%=0.4$\)

The probability of not having lunch together is \($q=1-p=0.6$\)

Number of trials (days in a week) is \($\mathrm{n}=7$\)

Let \($r=$\) number of days in the week when Andy and Anna have lunch together.

\(P(r \text { of } n)={ }_{n} C_{r} p^{r} q^{n-r}\)

Use th graphing calculator to obtain

\($$\begin{aligned}&P(6 \text { of } 7)={ }_{7} C_{6}(0.4)^{6}(0.6)=0.017 \\&P(7 \text { of } 7)={ }_{7} C_{7}(0.4)^{7}(0.6)^{0}=0.002\end{aligned}$$\)

Therefore

\($\mathrm{P}($\) at least 6 of 7\($)=\mathrm{P}(1$\) of 7\($)+\mathrm{P}(2$\) of 7\($)+\ldots+\mathrm{P}(6$\) of 7)

\($$\begin{aligned}&=0.131+0.261+0.290+0.194+0.077+0.017 \\&=0.97 \text { or } 97 \% \\&P(\text { at least } 6 \text { of } 7)=0.017+0.002=0.019=1.9 \% \\&P(\text { exactly } 6 \text { of } 7)=0.017 \text { or } 1.7 \%\end{aligned}$$\)

What is probability ?

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Answer:

The probability of them having lunch together at least 6 days a week is

0.019,

and the probability of having lunch exactly 6 times in a week is

0.017.

Step-by-step explanation:

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

\(y_1 \sim mx_1 + b\)

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean \(y_1\)

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

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

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer:

the circumstance is 43.98

Answer:

$275/mont 2.

Step-by-step explanation:

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The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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Answer:14

Step-by-step explanation

The answer is PROBABLY a whole number.

(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.

(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

Answer:

L=14m

Step-by-step explanation:

volume of a cube =L×L×L

V=L³

2744=L³

L=³√2744

L=14m

There are many shapes that can be similar, but there are three specific shapes that are always similar to one another:

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The probability that both the marbles are blue is 1/5.

According to the given question.

Number of red marbles = 6

Number of blue marbles = 4

Total number or marbles = 10

As, we know that "probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".

So, the probability that the first marble will be blue = 4/10 = 2/5

And the probability that the second marble is also blue, without replacement

= (4 - 1)/(10 - 1)

= 3/9

= 1/2

Therefore, the probability that both the marbles are blue

= 1/2 × 2/5

= 1/5

Hence, the probability that both the marbles are blue is 1/5.

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Using the domain and range concepts, it is found that:

In a graph:

Hence:

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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The measure of the angle between the board and the ground would be approximately 27 degrees. This can be determined using basic trigonometry. By considering the board as the hypotenuse of a right triangle, with the height of the downspout as the opposite side and the distance from the downspout to the board as the adjacent side, we can calculate the angle using the inverse tangent function. Applying arctan(13/5) gives us approximately 27 degrees.

To find the angle between the board and the ground, we can use the tangent function in trigonometry. In this scenario, the downspout acts as the vertical height, the distance from the downspout to the board acts as the horizontal base, and the board itself acts as the hypotenuse of a right triangle. By dividing the height (opposite side) by the base (adjacent side), we get the tangent of the angle. In this case, it's tan(theta) = opposite/adjacent = height/base = h/b. Given that the board's length is 13 ft and the height of the downspout is not provided, it's impossible to calculate the exact angle. However, if we assume the height is 5 ft, then arctan(5/13) ≈ 26.78 degrees, which rounds to approximately 27 degrees.

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Answer:

Step-by-step explanation:

hello :

put  a=-3    and  n=4   in :  3n2 – 2an

you have : 3(4)² – 2(-3)(4) =3(16)+6(4) =48+24 = 72

The reason why the United States is destined for the "onward march, according to O'Sullivan, is because of its unique history, geography, and political system.

According to O'Sullivan, it is believed that the United States was destined for an "onward march" due to it's unique in history, geography, and the political system.

O'Sullivan is of the opinion that the US's history of westward expansion and settlement created a culture of rugged individualism and self-reliance that made Americans uniquely suited to succeed in a rapidly changing world.

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There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original  number of students be S , and the number of seventh graders be   = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students  after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students  =  58%

.60S  / [ S + 20 ]  =   .58    we multiply both sides by  S +  20

0.60S  =0 .58 [ S + 20]

.60S  = .58S + 11.6   we subtract  0.58S from  both the sides

0.02S = 11.6  we divide both the sides  by .02

S  = 11/6 / 0.02 =    580

So the total number of students = 580 + 20  = 600 .

Hence there are 600 students at the party at that time.

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