Use the midpoint formula to solve the following: a segment ab has endpoints at a(2,9) and b(6,6) determine the coordinates of the midpoint leave your answer as (x,y) with space after the comma.

Answer:

6.2

Step-by-step explanation:

i got this answer by guessing, srry.

Answer: I need help pls

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

We could write:

Therefore, the result is 11.1 liters.

Answer:

B

Step-by-step explanation

my sister said it was-

im sorry if its not right i hope it helps

Answer:

Step-by-step explanation:

even (2, 4, 6, 8, 10, 12) = 6/12 = 1/2

cube (1, 8) = 2/12 = 1/6     (although all numbers are a cube of something, just not a whole, or even rational, number)

prime (1, 2, 3, 5, 7, 11) = 6/12 = 1/2

odd (1, 3, 5, 7, 9, 11) = 6/12 = 1/2

Answer:

Question 4: $190 = 55h + $40

Question 5:$4.75 = $0.75 + $1.75

Step-by-step explanation:

Equation:

Solve:

2.73 hours

Equation:

Solve:

4 miles

-Chetan K

4 miles

hope it will help you

Answer:

400 villas

Step-by-step explanation:

Since R(x)=200x−0.25x2 is a quadratic function with a negative leading coefficient, it represents a parabola opening downward. So its vertex will be the maximum of the function. If the coefficients are labeled, we have a=−0.25, b=200, and c=0. Then the vertex is found as follows.

x=−b/2a=−200/2(−0.25)=400

Therefore, maximum revenue will be attained when 400 villas are booked.

The required number of villas booked that produce the maximum revenue is 400.

Given that,
The total revenue for Fred's Estates LLC is given as the function R(x) = 200x -0.25x2, where x is the number of villas booked, what number of villas booked produces the maximum revenue is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given the equation for the villas,
R(x) = 200x -0.25x²
The above equation gives its maximum, where the slope of the function is zero,
So differentiate the function.
d/dx{200x -0.25x²} = 0
200 - 0.5x = 0
x = 400

Thus, the required number of villas booked that produce the maximum revenue is 400.

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Answer:

20 mm

95 mm

75 mm

3 inches

0.15 in/yr

Step-by-step explanation:

From the graph :

Sea height variation January 2000 = 20 mm

Sea height variation January 2020 = 95 mm

Difference in height variation :

Height 2020 - Height 2000

95mm - 20mm = 75mm

Expressing in inches

1mm = 0.04 inches

75mm = (75 * 0.04)in

= 3 inches

Rate of increase :

Difference in sea level height / difference in time

3 / (2020 - 2000)

3 / 20

= 0.15

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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Answer:

x = - 1

Step-by-step explanation:

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

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

PLEASE MARK ME BRAINLIEST!!!!!!!

Step-by-step explanation:

Isosceles Triangle

Answer:

Isosceles Triangle

Step-by-step explanation:

plz make me the Brainliest

The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33

The given parameters are

Range = 45 to 60 inches

Sides = 9, 18 and x

The sum of the three sides is

Sum = 9 + 18 + x

Evaluate

Sum = 27 + x

Recall that

Range = 47 to 60 inches

So, we have

45 ≤ 27 + x ≤  60

Subtract through by 27

So, we have

18 ≤ x ≤ 33

Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33

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The fraction of the original mass that was lost in the second month is 1/12.

A fraction is a non-integer that is made up of numerators and denominators. An example of a fraction is 1/6.

Weight lost in the first month = 1/6 x 120 = 20kg

Weight lost in the second month = 1/10 x (120 - 20)

=  1/10 x 100 = 10kg

Fraction of the original mass that was lost in the second month : weight lost in the second month / total mass

10 kg / 120 = 1/12

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The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;

x + y = 10

x + y = 105x + 7y = 66

Let

Number of small cars rented = x

Number of large cars rented = y

x + y = 10

x + y = 105x + 7y = 66

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Answer:

The next year, 900 students will come because 18,000 * 5% = 900

Step-by-step explanation:

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

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Answer:

here,

diameter of cone A is 5cm

diameter of coneB is ?

Step-by-step explanation:

diameter of cone pie r square

so you can find

The scale factor of the dilation is 4.

We are given that;

The equation of line −11x=4y+4

Now,

The center of dilation is the origin (0, 0). The line given by −11x = 4y + 4 can be rewritten as y = −11/4 x − 1. This means that it passes through the points (0, −1) and (−4, 0). The image of the line after dilation is given by −11x − 4y = 16, which can be rewritten as y = −11/4 x − 4. This means that it passes through the points (0, −4) and (−16, 0).

To find the scale factor, we can use any pair of corresponding points. For example, let’s use (0, −1) and (0, −4). The distance from the center of dilation to (0, −1) is 1 unit. The distance from the center of dilation to (0, −4) is 4 units. Therefore, the scale factor is 4/1 = 4.

Therefore, by dilation the answer will be 4

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Answer:

2x+8=11

Step-by-step explanation:

The equation 2x + 8 = 11 would be the answer.

2 (coefficient) ----> it would multiply by the unknown value represented by the common variable "x".

Because in the given situation, it says twice (means 2 multiplied by a number or a number multiplied twice by itself) then multiplication would be the order of operation used between the 2 and x.

The "and" indicates the order of operation addition, as it is proven as the only given options for the answer all equal 11.

Therefore, proving that option A is the answer.

Answer: $982.48

Step-by-step explanation:

The maximum price you should pay would be the present value of the bond including its cash flows. That is how the price of a bond is computed.

The formula to calculate the price of a bond is;

\(Price = Coupon payment * \frac{1 - (1 + yield)^{-n} }{yield} + \frac{Future value}{( 1 + r) ^n}\)

The payments are semi annual so the variables will need to be converted to semi annual variables.

Coupon payment = 9.5% * 1,000 * 1/2

= $47.50

Number of periods = 20 years * 2 = 40 semi annual periods

Yield = 9.7%/2 = 4.85%

\(Price = 47.50 * \frac{1 - (1 + 0.0485)^{-40} }{0.0485} + \frac{1,000}{( 1 + 0.0485)^{40} }\\Price = 832.077 * 150.405\\Price = 982.48\)

Price = $982.48

$982.48 should be the maximum price you should pay.

Alternatively, use a financial calculator and input the variables as;

Future Value = $1,000

Payment = $47.50

Number of Periods = 40

Rate = 4.85%

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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