The midpoint of KL is (7,3). One endpoint is K (4,1), what is the coordinate for the
other endpoint L?

Answer:

The equation of the straight line y = 8

Step-by-step explanation:

Explanation:-

Given that the slope m=0 and y-intercept c=8

The equation of the straight line y=mx+c

The equation of the straight line y=0x+ 8

The equation of the straight line y = 8

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

Expanded:x²-7x+4x-28

Simplified: x²-3x-28

Step-by-step explanation:

Answer: 24 times

Step-by-step explanation:

volume of cone: (1/3)×5^2×π×10=250π/3 cm^3

volume of cylinder: 10^2×π×20=2000π cm^3

2000π/(250π/3 )=2000π×(3/250π)=24

Answer:

54.87

69.08

Step-by-step explanation:

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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The probability that the athlete is either a football player or a basketball player is 93%.

What is probability?

Football players= 51%

Basketball players= 43%

Both football and basketball= 1%

Probability = Football players + Basketball players

- Both football and basketball

Probability= 51% + 43% -  1%

Probability= 93%

Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.

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Answer:

Step-by-step explanation:

16 = 2 *2 * 2 * 2 = 2⁴

16y⁴ = (2y)⁴

x⁴ - 16y⁴ = x⁴ - (2y)⁴

              = (x²)² - [ (2y)² ]²    

 {Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}

              = (x² + (2y)² ) (x² - (2y)² )  

               = (x² + 4y²) (x² - 4y²)

\(\\ \sf\longmapsto \dfrac{12.19}{5.7}\)

\(\\ \sf\longmapsto 2.14/lb\)

2.15/lb+2=2.17/lb

Brand 2 is a better deal and 2.17lb is the unit price

Answer:

yes I am telling you about the India is so much of drugs that this is because I 6

Step-by-step explanation:

just see attached answer

Answer:

2.08 this is answer

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Answer:

a. 3.6

b Linear

c. 2.13333

Plot a graph going up vertically by amounts 30,000  would be = 1

60,.000 would be = 2, 90,000 would be = 3 etc.

225,000 would show between 7 and 8. where marks of 15/30 = 1/2 would be counted back from 240,000 to 225,000 and between 210,000 to 240,000

After mapping the x rate must be 1 for both linear and for exponential.

The average rate of change is found when 60k = 2  and 225k = 7.5 is increasing and years shown 2001 to 2021 are shown on x axis.

=  20 years

Therefore linear shows 2 when x = 1 then shows 7.5 when x = 20

20/7.5 = 2.6

Therefore, this relationship is linear because each yyy-value is 7.5/20 more than the value before it. The x value goes up by 1 each value of 0.37 for y

When the value is exponential the y value should go up by 1 and as it is 30,000 each 1 value and x =1 goes up 2 2/3 = 2.6667 for every 30.000k to every x value.

A. 2 -2 2/3  = 2.31555.. average rate of change.for exponential  and between 3.5 and 3.7 = 3.6 average rate of change for linear.

B linear

C 2008 = 8 YEARS 8/20 X 2 = 0.8

0.8 X 2  2/3= 2.13333333 is the app value of the linear model 2008.

Answer:

p = 1

Step-by-step explanation:

[add like terms]

p - 1 = 8 p - 8

[add 8 to both sides]

p + 7 = 8 p

[subtract p from both sides]

7 = 7 p

[divide each side by 7]

p = 1

Answer:

P=1

Step-by-step explanation:

collecting like terms we have

p - 5p - 3p = -8 + 1

-7p = -7

divide both sides by -7

p = 1

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

The cost of labour per hour is $65.

Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.

We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now, according to question 157+3.75×x=400.75

⇒3.75x=400.75-157

⇒3.75x=243.75

⇒x=243.75/3.75

⇒x=65

Therefore, the cost of labour per hour is $65.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Given Kite ABCD, in which AN=3.6m, the length of AC is 7.2 m.

Length is a measurement of how long or short something is. It can be measured in inches, feet, meters, or other standard units. Length is used to measure the size of objects, the distance between two points, and many other things. Length is an important concept in mathematics and science, and is used to compare and contrast objects, measure angles and distances, and solve problems.

The length of AC can be found using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of two sides of the triangle is equal to the square of the third side.

In this case, the triangle ABCD is a right triangle, since one of the angles is 90 degrees. The side AB is equal to AN, or 3.6 m. The side AC is the hypotenuse, so we need to find the length of that side.

In the given figure

ABCD is a kite

AC is the shortest diagonal

BD is the longest diagonal

By using the fact above

BD ⊥ AC

BD bisects AC

AC ∩ BD at the point N

→ That means N is the midpoint of AC

N is the midpoint of AC

AN = NC

AN = 3.6 m

NC = 3.6 m

AC = AN + NC

AC = 3.6 + 3.6

AC = 7.2 m

Therefore, the length of AC is 7.2 m.

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Complete refence question:

Answer:

10 1/2 as an improper fraction is \(\frac{21}{2}\)

the reciprocal of 10 1/2 is \(\frac{2}{21}\)

so \(\frac{21}{2} * \frac{2}{21} = 1\)

below is an image of the rest of the answers

Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!

Answer:

cant tell what ths says

Step-by-step explanation:

Answer:

( A - B).

A = { a, e, I, o, u}

B = { a, b, c, d }

{ e, I, o, u}

A - B = subtracting elements of B from A ( all the common elements)

The program is an illustration of loops

Loops are program statements that are used to perform repetition

The program written in Python, where comments are used to explain each line is as follows:

#This initializes sum to 0

summ = 0

#This gets input for the first number

num = int(input())

#This is repeated while num is not -1

while num!= -1:

   #This calculates the sum

   summ+=num

   #This gets input for the num

   num = int(input())

#This prints the sum

print(summ)

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Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

Approximately 4.5 gallons of paint would be needed for one coat on the entire exterior of the barn, including the roof.

To determine the number of gallons of paint needed for one coat on the entire exterior of the barn, including the roof, we need to calculate the total surface area that needs to be painted.

Let's consider the dimensions of the barn:

Length: 30 feet

Width: 20 feet

Height: 10 feet

First, let's calculate the surface area of the four walls. Since a rectangular barn has opposite walls with equal dimensions, we can calculate the area of one wall and multiply it by 4:

Wall area = Length * Height

= 30 feet * 10 feet

= 300 square feet

Now, multiply the wall area by 4 to account for all four walls:

Total wall area = Wall area * 4

= 300 square feet * 4

= 1200 square feet

Next, let's calculate the surface area of the roof, which is a rectangle:

Roof area = Length * Width

= 30 feet * 20 feet

= 600 square feet

Finally, we calculate the total surface area that needs to be painted by adding the wall area and the roof area:

Total surface area = Total wall area + Roof area

= 1200 square feet + 600 square feet

= 1800 square feet

Given that one gallon of paint covers 400 square feet, we can divide the total surface area by 400 to determine the approximate number of gallons needed for one coat:

Number of gallons = Total surface area / Coverage per gallon

= 1800 square feet / 400 square feet

= 4.5 gallons

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Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation: