plz helpp lol...............

Answer:

I think the answer was 190,000 people that can fit comfortably in 25 feet square. Moreover, 30 x 5280x 2=316,000 so take that times 0.6 and get the answer.

Not sure if this is exactly what you are wanting but is it 15:25??

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

19

Step-by-step explanation:

My teacher explained it to me.

Answer:

19

Step-by-step explanation:

6 +39 :3

6 +13

19

Answer:

30

Step-by-step explanation:

You made the same mistake as you did the last time

if you have 50 stocks paying you .15 4 times a year that means you get

50*.15*4= 30

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

here's the answer.....I hope it would work

Answer:

3/17

Step-by-step explanation:

Substitute the given values for the variables.

\(\frac{12}{5+9(7)}\)

Simplify

\(\frac{12}{5+63}\)

\(\frac{12}{68}\)

\(\frac{3}{17}\)

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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Answer:

they are really different

Therefore, we can conclude that the correct order of the angles in triangle XYZ is: mAngleY < mAngleZ < mAngleX. To determine the correct order of the angles in triangle XYZ, we need to analyze the relationship between the side lengths.

Given:

Length of side XY: m + 8

Length of side YZ: 2m + 3

Length of side ZX: m - 3

To determine the relationship between the angles, we can compare the side lengths using the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Applying the theorem to triangle XYZ, we have:

(m + 8) + (2m + 3) > (m - 3) (for the XY and YZ sides)

(2m + 3) + (m - 3) > (m + 8) (for the YZ and ZX sides)

(m - 3) + (m + 8) > (2m + 3) (for the ZX and XY sides)

Simplifying these inequalities, we get:

3m + 11 > m - 3

3m > -6

m > -2

Since the given condition is m ≥ 6, the inequality m > -2 is satisfied.

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Answer:

Answer:

cot α = 1/tan α = 1/2.4 = 0.42

Step-by-step explanation:

cot α=0.42

sin α = 0.92

we know that cot α = 1/tan α

thus,

cot α = 1/tan α = 1/2.4 = 0.42

we know that

sin(x)=tan(x)1+tan2(x)√

\begin{gathered}\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92\end{gathered}

sin(α)=tan(α)/

1+tan

2

(α)

sin(α)=2.4/

1+2.4

2

=2.4/

1+5.76

sin(α)=2.4/

6.76

=2.4/2.6=12/13=0.92

sin α = 0.92

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

The values of x are 13 and -1. Option A

Algebraic expressions are defined as  expressions that have terms, variables, coefficients, constants and factors.

They are made up of arithmetic operations.

Given that;

(x - 7)²= 36

expand the bracket

x² - 7x - 7x + 49 = 36

collect like terns

x² - 14x + 49 = 36

x² - 14x + 13

Factorize the expression

(x² - 13x) + (x - 13)

Factor the common terms

x(x - 13) + 1(x - 13)

x = 13. x = -1

Hence, the values are 13 and -1

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Hi! ⋇

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

  All proportions have this form:

  \(\sf{\dfrac{a}{b}=\dfrac{c}{d}}\), Where \(\sf{\dfrac{a}{b}}\) is equal to \(\sf{\dfrac{c}{d}}\).

 If \(\sf{\dfrac{a}{b}\neq\dfrac{c}{d}}\), it's not a proportion.

_________________________

  Here we have two pairs of numbers:

40,10 and 32,8.

Written As a proportion, they look like :

\(\sf{\dfrac{40}{10}=\dfrac{32}{8}}\)

Hope this made sense to you :)

\(\it{Calligrxphy}\)

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

The expression which is equivalent to 7.7a + 1.8 + 3.9a -7.6 is 11.6a - 5.8.

7.7a + 1.8 + 3.9a -7.6

combine like terms

= 7.7a + 3.9a + 1.8 - 7.6

evaluate

= 11.6a - 5.8

Therefore, the equivalent expression to 7.7a + 1.8 + 3.9a -7.6 is 11.6a - 5.8.

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Answer:

Step-by-step explanation:

Let x be the number.

The square of the number is x2

Increased by twice the number means add 2x.

So your equation is :

X2 +2x = 48.

Can you take it from here?

The asked number is 12.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, When the square of a certain number is added to the number, the result is the same as when 48 is added to three times the number.

Let the number be x,

x²+x = 48X3 + x

x² = 144

x = 12

Hence, The asked number is 12.

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The area of the region enclosed by the curve is 25πThe correct answer is option a) 25π.

To find the area of the region enclosed by the curve r = cos(θ), we use the formula:

A = (1/2) ∫θ2θ1 [r(θ)]² dθ

where θ1 and θ2 are the limits of integration that correspond to the region, and r(θ) is the polar function that defines the boundary of the region.

In this case, the region is enclosed by the curve r = cos(θ), which represents a circle with radius 1/2 centered at (1/2,0). The region extends from θ = 0 to θ = π.

Thus, the area of the region is:

A = (1/2) ∫0π [cos(θ)]² dθ

Using the identity cos²(θ) = (1 + cos(2θ))/2, we can simplify the integral:

A = (1/2) ∫0π (1/2)(1 + cos(2θ)) dθ

= (1/4) ∫0π (1 + cos(2θ)) dθ

= (1/4) [θ + (1/2) sin(2θ)]0π

= (1/4) [(π/2) - 0]

= π/8

Therefore, the correct answer is option a) 25π.

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Find the area of the region specified in polar coordinates, which is enclosed by the curve r = cos(θ).

a. 25π

b. 100π

c. 50π

d. 100/3π

Answer:

see the work below

Step-by-step explanation:

20.)    x = √32²+32² = √2048 = 45.25

y = 32(sin60) = 27.7

z = 32(cos60) = 16

22.)   x = 7√3 / cos60 = 24.25 = 14√3

y = 14√3 / tan30 = 42

sin30 = 14√3 / (z+7√3)

z + 7√3 = 14√3 / sin30

z = 14√3/√sin30 - 7√3 = 36.37 = 21√3

24.) z = 18(tan30) = 10.4

h = √10.4² + 18² = √432 = 20.785

x = y

2x² = 20.785²

x = √20.785²/2 = 14.7

y = 14.7

Answer:

Question 20:

Question 22:

Question 24:

Step-by-step explanation:

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  Therefore, the formula for the ratio of the sides is b : b : b√2 where:

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.  Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:

Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.

\(\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units\)

Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.

\(\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units\)

Side y is the side opposite the 30° angle in the same 30-60-90 triangle.

\(\implies z=c = 16\; \sf units\)

Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.

\(\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units\)

Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.

Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.

\(\implies y=2c=2 \cdot 21 = 42\; \sf units\)

Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.

\(\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units\)

Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.

\(\implies z=c = 6\sqrt{3}\; \sf units\)

Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.

Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.

\(\implies x=6 \sqrt{6}\; \sf units\)

\(\implies y=6 \sqrt{6}\; \sf units\)

Out of 25,000 bulbs, a random sample of 2% or 500 bulbs were tested.  The probability of a bulb having none of the defects is 0.95.

The number of bulbs with defects can be calculated as follows

Total number of bulbs tested = 2% of 25000 = 500

Number of bulbs with only d1 defect = 40 - 25 = 15

Number of bulbs with only d2 defect = 60 - 25 = 35

Number of bulbs with both d1 and d2 defects = 25

Therefore, the total number of defective bulbs is 15 + 35 + 25 = 75.

The probability that a bulb produced by the company has none of the defects is equal to the complement of the probability that it has at least one defect.

P(no defects) = 1 - P(at least one defect)

To calculate P(at least one defect), we can use the formula for the union of events

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

where A and B are events, and P(A ∩ B) is the probability that both A and B occur.

Let D1 be the event that a bulb has d1 defect, and D2 be the event that a bulb has d2 defect. Then

P(at least one defect) = P(D1 ∪ D2) = P(D1) + P(D2) - P(D1 ∩ D2)

We know that P(D1) = 15/500 = 0.03, P(D2) = 35/500 = 0.07, and P(D1 ∩ D2) = 25/500 = 0.05.

Substituting these values, we get

P(at least one defect) = 0.03 + 0.07 - 0.05 = 0.05

Therefore,

P(no defects) = 1 - P(at least one defect) = 1 - 0.05 = 0.95

So the probability that a bulb produced by the company has none of the defects is 0.95.

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Step-by-step explanation:

y = mx+ b

m is the slope = 5

you can get x,y from point (x,y); x=2, y=1

substitute all information we have to find b

1 = 5(2) + b

1 = 10 + b

1 - 10 = b

-9 = b

the function for line:

y = 5x - 9

Sidney will use 57 cups of soda for 19 cups of ice cream.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

From the table,

The ratio of cups of ice cream to cups of soda.

3.5 cups ice cream = 10.5 cups of soda

Divide both sides by 3.5.

1 cup of ice cream = 3 cups of soda

Multiply 19 on both sides.

19 cup of ice cream = 57 cups of soda

Thus,

57 cups of soda.

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

L = \(\frac{T^2 G}{4\pi^2}\)

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

Answer:

y = -3

Step-by-step explanation:

Answer:

$2244

Step-by-step explanation:

Answer:

64, 8, 1, 1/8

Step-by-step explanation:

So for -2 you have h(-2) = \((\frac{1}{8})^{-2}\) to make the power a +2 just flip it so (8/1) which is 8, so now you have \(8^{2}\) = 64

Do the same for -1 so h(-1) = \((\frac{1}{8})^{-1}\) = \(8^{1}\) = 8

Anything to the zero power is = 1 so h(0) = 1

(1/8)^1 is just \(\frac{1}{8}\)