Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, -7)?
A. y-5= 2(x-10)
B. Y-5 = -2(x-10)
C. y-10 = 2(x-5)
D. y-10 = -2(x-5)

Answer:

4/5

Step-by-step explanation:

total number of games played = 25

total number of games won = 20

total number of games lost = 2

total number of draw games = 3

the fraction of the games they won = (total number of games won) ÷ (total number of games played)

=20/25

=4/5

The bearing of city B from A is 030° and the bearing of city A from B is 210°.

The term bearing is used in the navigation. The bearing is the horizontal angle which is made between the direction of an object to the another object.

This angle is measure in the clockwise direction from the north direction.

For example, if 40 clockwise from the north direction is represented as 040° in a bearing angle.

The two cities in the attached image below are show. The city A is at some distance from the city B.

Let suppose the city B is from 30 degrees from the north on clockwise. Thus, to measure of the bearing of B from A will be 030°.

Now add 180 degree to this angle to get the bearing of A from B. Thus,

180°+30°=210°

Hence, the measure of the bearing of city B from A is 030° and measure the bearing of city A from B is 210°.

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Answer: Your sample size must be 57 .

Step-by-step explanation:

The degrees of freedom(df) require to calculate the correlation coefficient is N-2, where N is the sample size.

If Degrees of freedom(df)  is given as 55, then

N-2 =55

Add 2 on both sides , we get

N= 55+2=57

Therefore , the required sample size = 57

The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

In this problem, the parameters are given as follows:

P = 500000, r = 0.123, n = 12 x 10 = 120.

Hence:

r/12 = 0.123/12 = 0.01025.

Then, the monthly payments will be of:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 500000\frac{0.01025(1+0.01025)^{120}}{(1+0.01025)^{120} - 1}\)

A = 7260.50.

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The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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Answer:

The depreciated asset price has to be independent of VAT;

= 402,500/1.15

= $350,000

Annual Depreciation = 350,000/6 years

= $58,333

Musk Trading has a 30 June year end so;

September to June = 10 months

Depreciation;

= 58,333 * 11/12

= $48,611

Accumulated Depreciation = $48,611

Depreciation = Annual depreciation of $58,333

Accumulated depreciation

= 2019 depreciation + 2020 depreciation

= 48,611 + 58,333

= $‭106,944‬

Answer:

c words words words words

Answer:

-3/4

Step-by-step explanation:

4p+6-3=0

4p+3=0

4p=-3

p= -3/4

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:

Step-by-step explanation:] Answer would be 400%

New value - Original Cost

         Original value

= 20 - 4/4

= 16/4

= 4 x 100

= 400%

Answer:

(2,-23)

Step-by-step explanation:

It was just luck I'm starting Geometry this year.

The midpoint of line segment UV is given by M ( -11/2 , 1 )

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Measure the distance between the two end points, and divide by 2.

Let A ( x₁ , y₁ ) be the first point

Let B ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

Given data ,

Let the first point be U ( -8 , 9 )

Let the second point be V ( -3 , -7 )

Now , midpoint between U and V is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

On simplifying , we get

a = ( -8 + -3 ) / 2

b = ( 9 - 7 ) / 2

On further simplification , we get

a = -11/2

b = 1

Hence , the midpoint is M ( -11/2 , 1 )

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Answer:

required value is n = 10

Step-by-step explanation:

by ingnoring the negative value n = -14

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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The probability that the number of these selected teens that have heard of a fax machine is exactly six is 0.225 and the probability that the number is more than 8  is 0.064.

The first probability can be calculated using binomial distribution formula, where the number of success (teens who have heard of a fax machine) is 6 and the number of trials is 12. The probability of success is 0.49. The calculation is:

\((12 choose 6) * (0.49)^6 * (0.51)^(12-6) = 0.225\)

The second probability can be found by summing the probabilities of having more than 8 teens out of 12 who have heard of a fax machine. This can be calculated using binomial distribution formula for 9, 10, 11, and 12 success. The calculation is:

\((12 choose 9) * (0.49)^9 * (0.51)^(12-9) + (12 choose 10) * (0.49)^10 * (0.51)^(12-10) + (12 choose 11) * (0.49)^11 * (0.51)^(12-11) + (12 choose 12) * (0.49)^12 * (0.51)^(12-12)\\ = 0.064\)

So the answer is (0.225, 0.064).

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Answer:

I believe it is 180

Step-by-step explanation:

All triangles add up to 180

Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

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The new function that takes that longer doubling time into account with starting quantity will be Aₙ = A₁ (1)ⁿ.

Consider the function:

y = a (1 ± r)ˣ

Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.

As per Moore's Regulation, the multiplying time for the number of semiconductors that can be placed on a microprocessor is roughly two years. That's what ongoing information proposes, starting around 2013, the pace of development anticipated by Moore's Regulation does not hold anymore.

The rate is 0%, then the equation is given as,

Aₙ = A₁ (1 + 0)ⁿ

Aₙ = A₁ (1)ⁿ

The new function that takes that longer doubling time into account with starting quantity will be Aₙ = A₁ (1)ⁿ.

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Answer:

slope = \(\frac{6}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 5) and (x₂, y₂ ) = (7, 1)

m = \(\frac{1+5}{7-2}\) = \(\frac{6}{5}\)

The required slope of the line passes through the points (2, -5) and (7, 1) is m = 6/5

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Let's apply this formula to the given points:

m = (1 - (-5)) / (7 - 2)

m = 6 / 5

Thus, the required slope of the line passes through the points (2, -5) and (7, 1).

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Answer:

\( z =\frac{50-64}{7}= -2\)

\( z =\frac{43-64}{7}= -3\)

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

\( 2.5 -0.15 = 2.35\%\)

Step-by-step explanation:

For this case we have the following parameters from the variable number of motnhs in service for the fleet of cars

\( \mu = 64, \sigma =7\)

For this case we want to find the percentage of values between :

\( P(43< X< 50)\)

And we can use the z score formula given by:

\( z = \frac{X-\mu}{\sigma}\)

In order to calculate how many deviation we are within from the mean. Using this formula for the limits we got:

\( z =\frac{50-64}{7}= -2\)

\( z =\frac{43-64}{7}= -3\)

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

\( 2.5 -0.15 = 2.35\%\)

Answer:

16 is 40% of 40

Step-by-step explanation:

16 = 40% x Y

16 = 40/100 x Y

y=3 x 100/40

y=40

The temperature changed by 41°F during the overnight hours, decreasing from 28°F to -13°F.

The difference in temperature from 28°F to -13°F can be shown in one of two ways:

To calculate the change in temperature, the first exponent equation subtracts the initial temperature from the end temperature. The change in this instance is negative and points to a drop in temperature.

The absolute value function is employed in the second statement to guarantee a positive result regardless of whether the temperature rose or fell. The result is the same as the first expression in this instance, but with a positive sign.

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Answer:

Step-by-step explanation:563765783+687546784-347657834=48589478w

Answer:

Step-by-step explanation:

Explanation:

Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.

a) The following are three cases in our daily life/work where analytics could be applied:

b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know

Answer: The relationship in quantity, amount, or size between two or more things: proportion.

The area of the sector is 8800cm²

What is an area of the sector?

The area of the sector refers to the area encircled by a circle's sector. A sector always originates from the center of the circle.

What is curved surface area?

The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area: This is the combined area of the bases and the curved surface.

Here, we have

Radius = 28cm,  Height = 96cm

L² = 96² + 28²

= 9216 + 784

= 10000

L = √10000

= 100cm

curved surface area = πrl

= 22/7×28×100

= 8800cm²

area of cone = area of sector

area of sector = 8800cm2

Hence, the area of the sector is 8800cm²

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We have a equation of a line in the form:

This goes through the point (0,0).

With another point, we can graph the line.

For example, for x=2, we have:

So the point (2,-1) belongs to the line.

We can graph the line passing through those points:

Answer:

5/8 =x

Step-by-step explanation:

2 ^ ( 3x-5) = ( 1/32) ^x

Rewriting 1/32 as 2 ^ -5

2 ^ ( 3x-5) = ( 2^-5) ^x

We know that a^b^c = a^ ( b*c)

2 ^ ( 3x-5) = ( 2) ^-5x

Setting the exponents equal

3x-5 = -5x

Subtract 3x from each side

3x-5-3x = -5x-3x

-5 = -8x

Divide each side by -8

-5/-8 = -8x/-8

5/8 =x

Answer:

Given,

1√3

by rationalizing,

1√3 ×(√3 / √3)

=√3/ 3

Step-by-step explanation: