Find the distance between the two points rounding to the nearest tenth (if necessary). (-3, -3) and (-6, 1)

We need more information about the property and the specific services required to determine the price of Hillary's home.

Answer:

Unfortunately, without additional information, it is impossible to determine the price of Hillary's home. The range of closing costs provided does not provide enough information to calculate the price of the home.

To determine the price of the home, we would need to know either the exact amount of the closing costs or additional information about the home's value, such as its appraised value or sale price.

Therefore, we cannot determine the price of Hillary's home based on the given information.

Step-by-step explanation:

We only know that the estimated closing costs for her home range from $11,600 to $40,600. Closing costs can vary based on a variety of factors, such as the location of the home, the type of mortgage, and the specific fees charged by the lender and other parties involved in the transaction.

To determine the price of Hillary's home, we would need additional information, such as the appraised value of the home, the amount of the down payment, and the specific closing costs that were incurred.

The quotient is x² + x + 4, and the remainder is 2.

x³ + 3x² + 6x + 10 = (x² + x + 4)(x + 2) + 2.

We have,

We can use long division to divide x³ + 3x² + 6x + 10 by x + 2:

      x² + x + 4

   ------------------

x + 2 | x³ + 3x² + 6x + 10

        - x³ + 2x²

       --------

         x² + 6x

         - x² - 2x

         ---------

               4x + 10

               - 4x - 8

               ---------

                     2

Therefore,

The quotient is x² + x + 4, and the remainder is 2.

x³ + 3x² + 6x + 10 = (x² + x + 4)(x + 2) + 2.

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I donno where on Eart do you find those questions from.lol.

Step-by-step explanation:

The volume of the rectangular bale of hay can be calculated using the formula:

V = lwh

where l, w, and h are the length, width, and height of the bale, respectively.

Substituting the given values, we get:

V = (4)(2)(2) = 16 cubic feet

The volume of the cylindrical bale of hay can be calculated using the formula:

V = πr^2h

where r is the radius of the bale (half the diameter), and h is the height of the bale.

Substituting the given values, we get:

V = π(4)^2(6) = 301.59 cubic feet

To find out how many rectangular bales contain the same amount of hay as one cylindrical bale, we can divide the volume of the cylindrical bale by the volume of one rectangular bale:

301.59 cubic feet / 16 cubic feet ≈ 18.85

Therefore, approximately 18.85 rectangular bales are required to contain the same amount of hay as one cylindrical bale. Rounded to the nearest tenth, this is 18.9 rectangular bales.

Answer: 4547.30 pesos

Step-by-step explanation:

You can set up proportion

[tex]\frac{x}{370}=\frac{12.29}{1}[/tex]         as long as you put pesos on top and dollars on bottom to set up proportion

now solve for x

x=12.29(370)= 4547.30 pesos

or

you can think of it as if you have 1 dollar and that is 12.29 pesos then 370 dollars would be 370x12.29

=4547.30

Answer:

The answer to your problem is, 1 [tex]\frac{1}{2}[/tex] or 1.5

Step-by-step explanation:

12 × [tex]\frac{1}{8}[/tex] = [tex]\frac{12}{1}[/tex] × [tex]\frac{1}{8}[/tex]

= [tex]\frac{12}{8}[/tex]

= 4 × 3 / 4 × 2 =

1.5

Thus the answer to your problem is, [tex]1 \frac{1}{2}[/tex]

Using the given formula v² = v₀² + 64h, and plugging the values of v₀ and v, we find the vertical height of drop of roller coaster is 75.53  feet.

The given equation is: v² = v₀² + 64h

Given that given final velocity is  v = 70 ft/s  and initial velocities is v₀ = 8 ft/s.

Substitute the given values into the equation

(70 ft/s)² = (8 ft/s)² + 64h

Simplifying and solving for h

4900 ft^2/s² = 64h + 64 ft²/s²

4836 ft^2/s² = 64h

h = (4836 ft²/s²)/64

h = 75.53 feet (rounded to two decimal places)

Therefore, the vertical drop height is approximately 75.53 feet.

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--The given question is incomplete, the complete question is given

" ROLLER COASTERS The velocity of a roller coaster as it moves down a hill is v = v , where is the

v^2 = v₀^2 + 64h

v₀ =0 and h is the vertical drop in feet. If v = 70 feet per second and initial velocity v₀ = 8 feet per second, find h. "--

Here is   the missing line of code is    

if item[0]   > item[1]:

   wins += 1

else:

   losses += 1

The comlete code should look like this:


  scores = [[2, 5], [3, 1], [4, 4], [1, 0], [2,  3] ]

wins = 0

losses = 0

for item in scores:

   if item [0] > item[1] :

       wins += 1

   else:

       losses += 1

print("Number of wins:", wins)

print("Number of losses:", losses)

This code examines the scores of the two teams for each game, and if the home team's score ( item  [0]) is higher than the opponent team's score (item[1  ]), it counts as a victory, and the "wins" variable is increased by one.

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Answer: 25m²

Step-by-step explanation:

To find out which field will yield the most vegetables, we need to calculate the area of each field. The formula for the area of a rectangle is:

Area = length x width

Field 1:

Length = 7m (20m of fencing - 3m of width on each side)

Width = 3m

Area = 7m x 3m = 21m²

Field 2:

Length = 6m (20m of fencing - 4m of width on each side)

Width = 4m

Area = 6m x 4m = 24m²

Field 3:

Length = 5m (20m of fencing - 5m of width on each side)

Width = 5m

Area = 5m x 5m = 25m²

Therefore, Field 3 with a width of 5m will yield the most vegetables as it has the largest area of 25m².

Answer:

I'm pretty sure the answer is 14 feet. hope this helps!

The graph that does not represent a function is graph b

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

Graphs A to C

As a general rule of the vertical line test

For a graph to represent a function, a line drawn from the x-axis must intersect with the graph at most once

using the above as a guide, we have the following:

The graph b would intersect with a line from the x-axis twice

Hence, the graph is b

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The correct option regarding a fair share for Emily would be given as follows:

a) $8/4 = $2.00 apple, $16/4 = $4.00 cherry. A fair share for Emily would be one piece of cherry pie and one piece of apple pie. (greater piece of the cherry pie due to the higher fraction of 4 > 2).

The fair share for Emily is obtained applying the proportions in the context of the problem.

The friends purchase two pies, each for $12, hence the total cost of the two pies is given as follows:

2 x 12 = $24.

There are four friends, hence the amount paid by each friend is given as follows:

24/4 = $6.

Emily likes the cherry pie more than she likes the apple pie, so she should get more of the cherry pie, according to option A.

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The amount of paint  needed to cover silo with radius of 3 and height of 12 is  0.64π

To calculate the amount of paint needed to cover the silo, we need to find the surface area of the silo first.

The surface area of the curved part of the silo (excluding the top and bottom) can be calculated using the formula:

A = 2πrh

where:

r is the radius of the silo and

h is the height of the silo.

Plugging in the values, we get:

A = 2π(3)(12)

A = 72π

The surface area of the top and bottom of the silo can be calculated using the formula for the area of a circle:

A = πr^2

Plugging in the value of the radius, we get:

A = π(3)^2

A = 9π

To get the total surface area of the silo, we need to add the surface area of the curved part and the surface area of the top and bottom:

Total surface area = 72π + 9π = 81π

To calculate the amount of paint needed, we need to divide the total surface area by the coverage area of one gallon of paint. Let's assume that one gallon of paint can cover 400 square feet.

Amount of paint needed = Total surface area / Coverage area per gallon

Amount of paint needed = (81π) / 400

Amount of paint needed = 0.64π

Therefore, approximately 0.64π gallons of paint are needed to cover the silo.

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The measure of ∠HKI is equal to 73 degrees.

In Mathematics and Geometry, the theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to this circle shown in the image attached above, we can infer and logically deduce that angle a can be calculated by using this formula:

m∠HKI = ½(b + c)

m∠HKI = ½(105 + 41)

m∠HKI = ½(146)

m∠HKI = 73°.

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The values of b and c such that y = -11x² + bx + c has vertex (0,8) are given as follows:

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The x-coordinate of the vertex is given as follows:

x = -b/2a.

For this problem, we have that a = -11, and we want a x-coordinate of 0 for the vertex, hence the value of b is given as follows:

b/22 = 0

b = 0.

At the x-coordinate of 0, y assumes a numeric value of 8, hence the value of c is given as follows:

-11(0)² + c = 8

c = 8.

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Answer:

The inequality is -5 < x < 4.

I need to deposit $5,040.06 each month to reach my goal.

How to calculate the monthly deposit needed to reach your retirement goal?

To calculate the monthly deposit needed to reach your retirement goal, we can use the formula for the present value of an annuity, which is [tex]PMT \times [ \frac{(1 - (1 + r)^{-n})}{r} ] = PV[/tex]

where,

PMT is the monthly payment, r is the interest rate per month (11%/12 = 0.92%), n is the number of months (40 years x 12 months/year = 480 months) and PV is the present value of the annuity (which is my retirement goal of $500,000).

Plugging in the numbers,

[tex]PMT \times [ \frac{(1 - (1 + 0.0092)^{-480}) }{0.0092} ] = 500,000[/tex]

Solving for PMT,

PMT = $500,000 / [(1 - (1 + 0.0092)^(-480)) / 0.0092]

PMT = $500,000 / 99.17

PMT = $5,040.06

Therefore, to reach my retirement goal, you need to deposit $5,040.06 each month for the next 40 years.

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You need to deposit $73.06 each month to reach your goal of $500,000 at retirement at 11% interest.

Two different methods of calculating interest are used in finance: simple interest and compound interest.

Only the initial sum of money borrowed or invested, known as the principal, is used to calculate simple interest. The interest gained or charged is the same each period, and the interest rate is applied to the principal amount for a specific amount of time.

Contrarily, compound interest is determined by taking into account both the original principal as well as any prior interest payments. Each period's interest is combined with the principal, and the resulting sum serves as the foundation for calculating interest in the subsequent month.

The future value of the annuity is calculated using the formula:

[tex]FV = P * (((1 + r)^n - 1) / r)[/tex]

Thus, substituting the values we have:

[tex]500,000 = P * (((1 + 0.00917)^{480 }- 1) / 0.00917)[/tex]

Now,

[tex]P = 500,000 / (((1 + 0.00917)^{480} - 1) / 0.00917)[/tex]

P = $73.06

Hence, you need to deposit $73.06 each month to reach your goal of $500,000 at retirement.

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The height of the shooter is 1.4 feet off the ground.

We need to apply trigonometry. Our best choice will be to use the tangent function, which relates the opposite side (height of the shooter) to the adjacent side (distance from the shooter to the car), using the angle of elevation (2 degrees).

Let h = height of the shooter. Then, we can write:

tangent(2°) = h / 40

We can solve for "h" by multiplying both sides by 40 feet:

h = 40 * tangent(2°)

Using a calculator, we find that:

tangent(2°) = 0.0349

So, we have:

h = 40 * 0.0349

h = 1.396 feet

Therefore, the height of the shooter was approximately 1.4 feet (or 16.8 inches) off the ground.

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The probability that the student chosen at random is male AND got a "C" is 0.0227.

Conditional probability is the probability of an event (A) occurring given that another event (B) has already occurred. It is denoted by P(A | B) and is read as "the probability of A given B".

The formula for conditional probability is:

P(A | B) = P(A and B) / P(B)

Where P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.

Here we have

The total number of students is 88

Out of these 88 students, 36 are male

Number of males that got grade C =  2

P(male AND C) =  number of males who got C / total number of students

= 2/88 = 0.02272727272  

Rounding this to 4 decimal places, we get:

P(male AND C) = 0.0227

Therefore

The probability that the student chosen at random is male AND got a "C" is 0.0227.

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Check the picture below.

Answer:

Plot the points on the graphing calculator, and then generate the best regression model. That model is:

F = 16.65x + 15.7

The closest equation is D.

Applying the principle of similar triangles, the value of x is 6 units

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

To find the value of x in this problem, we have to apply similar triangle theorem here.

(8 + x) / 2√21 = 2√21 / x

cross multiply both sides

x(8 + x) = (2√21)(2√21)

8x + x² = 84

Rewrite the equation;

x² + 8x - 84 = 0

solving for x

x = 6, x= -14

Taking the positive value, the value of x = 6

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Answer: .125

Step-by-step explanation:

Divide 1 by 8.

Answer: 0.125

Hope this helps have a nice day!

If triangle has a perimeter of 69 cm, and ratio of side length as 6:7:10, then lengths of sides of triangle are 18 cm, 21 cm, and 30 cm.

The side length of the triangle are in the ratio = 6:7:10,

So, We let the lengths of the sides of the triangle be 6x, 7x, and 10x, where x is a constant.

Since the perimeter of the triangle is 69 cm, we have:

6x + 7x + 10x = 69

Simplifying the equation,

We get;

23x = 69

x = 3

So, the measure of sides of triangle are:

6x = 6×(3) = 18 cm

7x = 7×(3) = 21 cm

10x = 10×(3) = 30 cm

Therefore, the lengths of the sides are 18 cm, 21 cm, and 30 cm.

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The given question is incomplete, the complete question is

The lengths of the sides of a triangle are in the extended ratio 6 : 7 : 10. The perimeter of the triangle is 69 cm. What are the lengths of the sides?

Applying system of equations, the cost of each is: $2.25 per chair and $8.5 per table.

Using a system of equations we can find the cost of rent for each chair and table.

Let, x = chair

y = table.

Therefore, we will have the following system that represents the situation:

2x + 3y = 30 --> eqn. 1

4x + 8y = 77 --> eqn. 2

Multiply eqn. 1 by 4 and eqn. 2 by 2:

8x + 12y = 120 --> eqn. 1

8x + 16y = 154 --> eqn. 2

Subtract equation 2 from 1:

-4y = -34

y = 8.5 [the table cost $8.5 per one]

Substitute y = 8.5 into equation 1:

2x + 3(8.5) = 30

2x = 30 - 25.5

2x = 4.5

x = 4.5/2

x = 2.25 [each chair cost $2.25]

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The correct statement regarding the polynomials is f(x) = x³ - ax² - 9x + 9a has zeros of ±3 and a. Therefore the correct option is (4).

To find the zeros of a polynomial, we need to solve for the values of x that make the polynomial equal to zero. That is:

f(x) = 0

(1) f(x) = (x² - 1)(x + a) has zeros of 1 and -a, only

This statement is not true.

The polynomial f(x) has zeros of 1 and -a only if a is equal to 1 or -1. However, the statement does not specify that.

(2) f(x) = x³- ax² + 16x - 16a has zeros of 4 and a, only

This statement is not true.

The polynomial has a third zero, which is not specified in the statement.

(3) f(x) = (x² + 25)(x + a) has zeros of ±5 and -a

This statement is not true.

The zeros of the polynomial f(x) are ±5 and -a only if a is equal to -25. But this statement does not specify that, so it is not necessarily true.

(4) f(x) = x³ - ax² - 9x+ 9a has zeros of ±3 and a

This statement is true.

We can use the Rational Root Theorem to check for possible rational zeros. The possible rational zeros of f(x) are:

±1, ±3, and ±9.

To confirm, solve the polynomials with the values:

f(3) = 0 and f(-3) = 0, so ±3 are zeros of f(x).

We can also see that f(a) = 0, so a is a zero of f(x). So the statement is true.

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Answer:

Farm Shop is cheaper and better value

Step-by-step explanation:

10kg Farm Carrots= £11

1kg of Farm carrot= 11/10= £1.1
1.5kg= 1kg+500g

500g of carrot= 1.1/2=0.55

1.5kg= £1.1+£0.55=£1.65

1.5kg of Supermarket carrot= £1.80

1.5kg of farm carrot= £1.65

Therefore, the carrots at the farm shop are of better value

Answer:   k=6

Step-by-step explanation:

4y=24x           Divide both sides by 4

y=6x

y=kx           you can see k=6

but if they want you to actually prove

substitue y=6x into y=kx

you get

6x=kx     divide both sides by x

6=k

The time your watch will show at 10 a.m. on the following Monday is 10:14 a.m.

If your watch gains 2 minutes in every 24 hours, that means it gains 1 minute every 12 hours.

At 10 a.m. on the following Monday (7 days after 10 a.m. on Monday):

7 days = 168 hours

12 hours = 1 minute

168 hours = ?

= 168/12

= 14 minutes

Your watch would show 10:14 a.m. on the following Monday, as it gains 1 minute every 12 hours and there are 7 days (168 hours) between Monday 10 a.m. and the following Monday 10 a.m.

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