A(-4,2)
5
4
3
2
-5-4-3-2-11
-3-
-4-
-5
2 3 4 5 X
B(1.4)
What are the coordinates of the midpoint of AB?
0 (-²,-2)
0 (--/--)
01-¹-1
0 (---.-2)

The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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The length of each of the three remaining sides, in order from least to greatest, is x = 8, y = 18 and z = 3.

What is Perimeter?

Perimeter is the total length of the boundary of a two-dimensional shape or figure. It is the distance around the outside of a closed shape, such as a rectangle, triangle, circle, or any other polygon. To find the perimeter of a shape, you add up the lengths of all its sides. Perimeter is usually measured in units of length, such as centimeters, meters, feet, or inches. Perimeter is an important concept in geometry, and it is used to calculate the amount of material needed to surround a shape or to measure the distance around a path or track.

Let's denote the lengths of the three remaining sides of the kite as x, y, and z, where x is the shortest side.

The perimeter of the kite is the sum of the lengths of all four sides:

P = x + y + z + 18

We also know that the total length of plastic used to frame the perimeter is 94 inches:

94 = 2x + 2y + 2z + 36

Simplifying the equations by dividing both sides of the second equation by 2, we get:

47 = x + y + z + 18

47 = x + y + z + 18

Substituting the first equation into the second equation, we get:

x + y + z + 18 = 2x + 2y + 2z + 36

Simplifying this equation, we get:

x = 8

Substituting x = 8 into the first equation, we get:

y + z + 26 = 47

Simplifying this equation, we get:

y + z = 21

We want to find the values of y and z. Since we don't have enough information to solve for each of them individually, we'll use a bit of logic to determine their relative values.

The only combination that satisfies these conditions is:

y = 18

z = 3

Therefore, the length of each of the three remaining sides, in order from least to greatest, is:

x = 8

y = 18

z = 3

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The solution to the equation is x ≈ 8.2.Among the given options, the closest rounded answer to the solution is F. 1.8.

To solve the equation 8.2(3²x - 4) - 11 = 557.1, we'll follow the steps below:

1. Simplify the expression inside the parentheses:

  3²x - 4 = 9x - 4.

2. Distribute 8.2 to the simplified expression:

  8.2(9x - 4) = 73.8x - 32.8.

3. Rewrite the equation with the simplified expression:

  73.8x - 32.8 - 11 = 557.1.

4. Combine like terms:

  73.8x - 43.8 = 557.1.

5. Add 43.8 to both sides of the equation:

  73.8x = 600.9.

6. Divide both sides of the equation by 73.8:

  x = 600.9 / 73.8.

7. Evaluate the division:

  x ≈ 8.15.

Rounding x to the nearest tenth, we find that x ≈ 8.2.

Therefore, the solution to the equation is x ≈ 8.2.

Among the given options, the closest rounded answer to the solution is F. 1.8.

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Answer:

it have the property of parallelogram ,

1. The annual net operating income is $450,000

2. The depreciation is $39500

3. The APR is 15.44%

4. The payback period is 6.8 years.

5. The NPV is $1607206

6. Annual net cash inflow is $489500.

1. Annual net operating income = Annual rental income - annual operating expense

= $1900000 - $1450000

= $450000

2. Annual depreciation:

= (3310000-2520000)/20

= $39500

3. ARR = Annual net operating income / Average investment

= 450000/((3310000+2520000)/2)

= 15.44%

4. Payback period = Initial investment / annual cash inflows

= 3310000/489500

= 6.8 years

5. NPV = Present value of cash inflow + Present value of residual value - initial investment

= $489500*9.129+2520000*0.178 - 3310000

= $1607206

6. Annual net cash inflow:

= Annual net operating income + depreciation

= $450000 + 39500

= $489500

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Complete question:

Robertson resorts is considering whether to expand its pagosa springs lodge. the expansion will create 24 additional rooms for rent. the following estimates are available: cost of expansion $ 3,310,000 discount rate 9% useful life 20 annual rental income $ 1,900,000 annual operating expenses $ 1,450,000 robertson uses straight-line depreciation and the lodge expansion will have a residual value $2,520,000.

Calculate

The annual net operating income

2. The depreciation

3. The APR

4. The payback period

5. The NPV

6. Annual net cash inflow

The value of x is 35.

The given angles are (x+12) degree and (4x-7)degree,

Since the two lines being crossed are Parallel  lines,

And Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation.

Sum of internal angles is 180 degree,

Therefore,

⇒ x + 12 + 4x - 7 = 180.

⇒ 5x + 5 = 180

⇒ 5x = 175

⇒   x = 35

Hence,

⇒   x = 35

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The complete question is:

given m||n, fine the value of x.

(X+12)° & (4x-7)°.

Answer:

\(\frac{34}{39}\)

Step-by-step explanation:

\(2\frac{5}{6}\) can be rewritten as \(\frac{17}{6}\)

\(3\frac{1}{4}\) can be rewritten as \(\frac{13}{4}\)

So now

\(\frac{17}{6} / \frac{13}{4}\)

Flip the second fraction and multiply

\(\frac{17}{6} * \frac{4}{13} = \frac{68}{78}\)

Now reduce the fraction

\(\frac{34}{39}\)

The required number of replications is approximately 9.

To estimate the required number of replications for a 2×2 factorial design to estimate the interaction beta within two units with a 90% confidence interval, we can use the formula:

n = (Z * SE / ME)²

where:

n = required number of replications

Z = Z-score corresponding to the desired confidence level (90% confidence corresponds to Z ≈ 1.645)

SE = standard error of the estimate of the interaction beta

ME = margin of error (in this case, two units)

Substituting the given values:

n = (1.645 * 3 / 2)²

Calculating this expression:

n ≈ 8.593

Therefore, the required number of replications is approximately 9 (rounded up).

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Answer:

B

Step-by-step explanation:

Answer:

\(y= -\frac19(x-3)^2+1\)

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer:

y =-  \(\frac{1}{9}\)(x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, \(\frac{5}{9}\) ) into the equation

\(\frac{5}{9}\) = a(1 - 3)² + 1 ( subtract 1 from both sides )

- \(\frac{4}{9}\) = 4a ( divide both sides by 4 )

a = - \(\frac{1}{9}\)

y = - \(\frac{1}{9}\) (x - 3)² + 1 ← equation of parabola in vertex form

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

It will take approximately 27 years to accumulate $100,000 in the savings account.

To calculate the time required, we can use the future value of an ordinary annuity formula. In this case, the annuity is the annual savings of $1,300, the interest rate is 5%, and the desired future value is $100,000. By plugging these values into the formula, we can solve for the number of periods (years) it will take to reach the target amount.

The formula is:

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

Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods. Rearranging the formula to solve for n, we have:

n = log((FV * r / P) + 1) / log(1 + r)

Substituting the given values, we get:

n = log((100000 * 0.05 / 1300) + 1) / log(1 + 0.05)

Evaluating this expression, we find that n is approximately equal to 27. Therefore, it will take approximately 27 years to accumulate $100,000 in the savings account by saving $1,300 annually at an interest rate of 5%.

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a) To get the maximum volume of the box, we should cut squares with side length of 5.66cm from each corner of the cardboard.

b) The area of each square is 31.96 square cm.

Let's denote the side length of the square that needs to be removed from each corner as "x"

The length of the cardboard box, after removing the squares from each corner, will be

L = 119cm - 2x

Similarly, the width of the cardboard box will be

W = 24cm - 2x

And the height of the cardboard box will be

H = x

To maximize the volume of the box, we need to find the value of "x" that maximizes the expression for the volume of the box, which is given by

V = LWH

Substituting the expressions for L, W, and H in terms of x, we get

V = (119cm - 2x)(24cm - 2x)(x)

Expanding this expression gives

V = 4x^3 - 286x^2 + 2856x

To find the value of "x" that maximizes this expression, we can take the derivative of V with respect to x and set it equal to zero

dV/dx = 12x^2 - 572x + 2856 = 0

Solving for x gives

x = (572 ± sqrt(572^2 - 4(12)(2856)))/(2(12))

x ≈ 5.66cm (ignoring the negative root)

Therefore, to get the maximum volume of the box, we should cut squares with side length of 5.66cm from each corner of the cardboard.

The area of each square is x^2 = 5.66^2 = 31.96 square cm.

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Answer:

D

I feel the graph speaks for itself. Hope I helped! :)

Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2

1,800

Step-by-step explanation:100x36=3,600/2=1,800

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

Since the group has rejected the null hypothesis, we can conclude that there is evidence to suggest that the mayor's claim that 51% of the residents favor annexation of a new bridge is inaccurate.

If the community group has rejected the null hypothesis at the 0.05 level, it means that they have found evidence to suggest that the true proportion of residents who favor the annexation of a new bridge is different from 51%.

The null hypothesis (H0) is that the true proportion is equal to 51%, while the alternative hypothesis (Ha) is that it is different from 51%.

H0: p = 0.51

Ha: p ≠ 0.51

The community group's decision to reject the null hypothesis means that the p-value of the test statistic is less than 0.05. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.

If the p-value is less than the level of significance (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis.

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

The GCF is 150.

Step-by-step explanation:

hope this helps

The factors of 300 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The factors of 450 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Then the greatest common factor is 150.

Answer:

GFC: 150

Step-by-step explanation:

prime factorization of 300: 300 = 2 × 2 × 3 × 5 × 5

prime factorization of 450: 450 = 2 × 3 × 3 × 5 × 5

then multiply all the prime factors common to both numbers: GCF = 2 × 3 × 5 × 5

GCF = 150

Answer:

There is no photo

Step-by-step explanation:

I cant see the photo therefore I cant help

Answer:

Can u put the answer choices

Step-by-step explanation:

a d

.....................................................

Bus 47 is better in line with the variability index IQR 8.

The value that divides the mathematical numbers or expressions in half is known as the median. The middle data point is known as the median value. Then, organise the data points in ascending order before calculating the median.

Given:

Data on the commute times to school from two groups of 15 pupils were collected and represented by line plots.

Case  I:

The middle-value Q1 = 14

and, Q3 = 6

Then, IQR = 14 - 6 = 8

Case II:

The middle-value Q1 = 15

and, Q3 = 19

Then, IQR = 19 - 15 = 4

Thus, Bus 47 with an IQR of 8.

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The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Answer:

6 days

Step-by-step explanation:

The computation of the number of days to complete the entire order of purses is shown below:

As according to the question

It takes 2 by 3 for complete of 1 by 9 of a purses order

So the number of days that need to complete the entire order is

\(= \frac{2}{3} \times \frac{9}{1}\\\\= 6\ days\)

The rate of change of radius of spherical balloon is  0.00418 feet per second.

First, we need to find an equation that relates the radius and the volume of the balloon. We can use the formula for the volume of a sphere

V = (4/3)πr^3

To solve for the rate of change of the radius, we can use the chain rule of differentiation

dV/dt = dV/dr * dr/dt

where dV/dt is the rate of change of the volume, dV/dr is the derivative of the volume with respect to the radius (which is 4πr^2), and dr/dt is the rate of change of the radius.

We know that the helium is pumped into the balloon at a rate of 5 cubic feet per second, so dV/dt = 5. We want to find the rate of change of the radius after 3 minutes, which is equivalent to 180 seconds.

Substituting these values into the equation above and solving for dr/dt, we get:

5 = 4/3 * π * r^2 * dr/dt

dr/dt = 5 / (4/3 * π * r^2)

We don't know the radius of the balloon, but we can use the fact that the volume of the balloon increases at a constant rate of 5 cubic feet per second to find it. After 3 minutes (180 seconds), the volume of the balloon will have increased by:

ΔV = 5 * 180 = 900 cubic feet

Using the formula for the volume of a sphere, we can solve for the radius:

V = (4/3)πr^3

r = (3V/4π)^(1/3)

Substituting ΔV = 900, we get:

r = (3*900/4π)^(1/3) ≈ 7.91 feet

Now we can substitute this value into the equation for dr/dt

dr/dt = 5 / (4/3 * π * (7.91)^2) ≈ 0.00418 feet/second

Therefore, the radius is increasing at a rate of approximately 0.00418 feet per second after 3 minutes.

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

"  Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 3 minutes?

Note: The volume of a sphere is given by V=(4/3)pi*r^3

Rate of change of radius (in feet per second) = "--

Answer:

how many brothers do you have?

Respuesta:

190 km

Explicación paso a paso:

Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:

a = 2/3*c

b = 2*c

d = a + b

Ahora bien sabemos que d = 80, reemplazamos y nos queda:

80 =  a + b

tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:

80 = 2/3*c + 2*c

80 = 8/3*c

c = 80*3/8

c = 30

ahora calculamos tanto a como b:

a = 2/3*30 = 20

b = 2*30 = 60

Ahora, el recorrido total es la suma de todos los tramos:

Total = a + b + c + d

Total = 20 + 60 + 30 + 80 = 190

Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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