20 1/8-11/40 and is has to be a fraction

85.97 cubic centimeters

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Work Shown:

\(V = \frac{1}{3}*\pi*r^2*h\\\\V = \frac{1}{3}*\pi*(3.9)^2*(5.4)\\\\V = \frac{1}{3}*(3.9)^2*(5.4)*\pi\\\\V = 27.378\pi\\\\V \approx 27.378*3.14\\\\V \approx 85.96692\\\\V \approx 85.97\\\\\)

The units for the volume are cubic centimeters which we can write shorthand as \(\text{cm}^3\) or as "cubic cm" or as "cc".

The volume 89.97 cubic cm is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate volume.

Let's define the variables:

BR = number of tickets sold to Bishop Reading students

O = number of tickets sold to students from other high schools

From the given information, we can create a linear system of equations:

Equation 1: BR + O = 275 (Total number of tickets sold)

Equation 2: 3BR + 6O = 1200 (Total revenue generated from ticket sales)

Let's solve the linear system of equations using the method of substitution. From Equation 1, we have BR + O = 275. Rearranging it, we get O = 275 - BR.

Substituting this value of O into Equation 2, we get 3BR + 6(275 - BR) = 1200. Simplifying further, we have 3BR + 1650 - 6BR = 1200. Combining like terms, we get -3BR = -450. Dividing both sides by -3, we find that BR = 150.

Substituting the value of BR = 150 back into Equation 1, we have 150 + O = 275. Solving for O, we get O = 125.

Therefore, 150 tickets were sold to Bishop Reading students (BR) and 125 tickets were sold to students from other high schools (O).

In conclusion, the STEM team sold 150 tickets to Bishop Reading students and 125 tickets to students from other high schools, raising $1200 from ticket sales.

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Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Answer:

In this case, the factor that comes out is x=−3, so you would divide by (x+3). Repeat until you've reduced to a quadratic, and then use the quadratic formula to find the irrational coefficients (if any). Simple factorisation solves your problem. Hence the 4 roots are x=12,x=−3,x=2i and x=−2i.

Step-by-step explanation:

A.Confidence Level: 99.7%; Confidence Interval: 42 to 48 

B.Confidence Level: 95%; Confidence Interval: 43 to 47

 C.Confidence Level: 68%; Confidence Interval: 44 to 46 

D.Confidence Level: 95%; Confidence Interval: 44 to 46

Given:

The x values are 1, 3, 5, 7, 9, 16.

The y values are 20, 14, 10, 6, 4.

The objective is to find the slope value and y intercept.

The general equation of a straight line is,

Here, m represents the slope of the line and b represents the y intercept.

Consider two coordinates from the table as,

The value of slope can be calculated as,

Explanation:

Imagine that your teacher wanted you to find the midpoint of -3 and 7 on the number line. To do this, you would add up the given values and divide by 2.

(-3+7)/2 = 4/2 = 2

The value 2 is right in the middle of -3 and 7 on the number line. This result is also the x coordinate of the midpoint since the values I used were the x coordinates of the original points.

The y coordinates are handled the same way:

(18+24)/2 = 42/2 = 21

The y coordinate of the midpoint is y = 21

Overall, the midpoint is (2, 21)

Option (d)

\(midpoint \: of \: the \: two \: points \: = (\frac{x1 + x2}{2}) \: (\frac{y1 + y2}{2}) \)

Let,

(-3,18) be (x1, y1). (7,24) be (x2,y2)

Substitute in this formula we get,

\( (\frac{ - 3 + 7}{2}) \: (\frac{18 + 24}{2}) \)

\( (\frac{4}{2}) \: ( \frac{42}{2})\)

= (2, 21)

Step-by-step explanation:

step 1. (a + b)(a - b) = a^2 - ab + ab - b^2 = a^2 - b^2.

step 2. this is always a binomial and never a trinomial and hence never a perfect square trinomual.

step 3. answer: never.

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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A fraction is a way to describe a part of a whole. The number of hours that Mr Mason painted each day is 1.625  hours.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The total number of hours that Mr Mason took to paint the fence is 6 2/4 hours, while the number of days taken by him is 4 hours. Therefore, the number of hours for which Mr Mason painted each day can be written as,

= (6 ²/₄)/4

= (26/4)/4

= 26/16

= 1.625 hours a day

Hence, the number of hours that Mr Mason painted each day is 1.625  hours.

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Answer: 22

Step-by-step explanation:

f(x) is basically the y of the function and we sent x=3. go back to the function and plug in 3 in the x. then solve 3^2=9  2x9=18 18+4=22 BOOOM  MATHH

Answer: 1.06 cm

Step-by-step explanation:

Take 2.7 divided by 2.54 = 1.062cm

Rounded the nearest hundredth, so it will be 1.06 cm

The slope intercept form of the line is ,

> y = mx + c

where ,

Example :-

> y = 2x + 5

Answer:

5) \(125^{1/5}*m\)

6) \(4*x^{2/3}\)

7) \(9^{1/3}*b^{8/3}\)

8) \(75^{1/2}*x^3\)

Step-by-step explanation:

Problem 5:

\(\sqrt[5]{125m^5}=\sqrt[5]{125}*\sqrt[5]{m^5}=125^{1/5}*m\)

Problem 6:

\(\sqrt[3]{(8x)^2}=\sqrt[3]{64x^2}=\sqrt[3]{64}*\sqrt[3]{x^2}=4*x^{2/3}\)

Problem 7:

\(\sqrt[3]{9b^8}=\sqrt[3]{9}*\sqrt[3]{b^8}=9^{1/3}*b^{8/3}\)

Problem 8:

\(\sqrt{75x^6}=\sqrt{75}*\sqrt{x^6}=75^{1/2}*x^3\)

Answer:

2 * 3 = 6 + 18 =24

Step-by-step explanation:

MARK BRAINLIEST

Step-by-step explanation:

please mark me as brainlest and follow me

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Step-by-step explanation:

The conjugate of the complex root must also be a zero of the function if the complex root is already a zero.

Conjugate of -4 + 3i is -4 - 3i.

Hence -4 - 3i is also a zero of the function.

Answer:

-4 - 3i

Step-by-step explanation:

If a zero of a function is a+bi, there is at least one other zero, a-bi, called the conjugate.

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second

A rate of change describes how one quantity changes in relation to another quantity.

Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.

In this case, we have:

rate of change = change in distance / change in time

Use the data in the table:

rate of change = 545-380/15-0

rate of change = 165/15 = 11

Note: You can pick any 2 data points for the calculation

Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled

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Hello! (:

3x+4=y

We want to convert it into slope-intercept form:

y=mx+b

Our equation looks like this:

y=3x+4

Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.

Now, we have the slope and a point, so we write the equation in point-slope form:

y-y1=m(x-x1)

y-(-2)=3(x-4)

y+2=3x-12

y=3x-12-2

y=3x-14

Hence, that is the required equation, Hope it helps you!

If you have any question or query, feel free to ask! (:

~An excited gal

\(SparklingFlower (:\)

The value of "m" represents the length of side G F in the kite F G H K. The value of "m" is 3.5. Given that sides G F and F K are congruent, we can conclude that their lengths are equal.

We are given that the length of side G H is 5 m 1 and the length of side H K is 3 m 7.

To find the value of "m," we need to find the length of side G F.

Since G F and F K are congruent, we can set up an equation:

5 m 1 = 3 m 7

To solve for "m," we need to subtract 3 m from both sides of the equation:

5 m - 3 m = 3 m - 3 m + 7

This simplifies to:

2 m = 7

Now, we can solve for "m" by dividing both sides of the equation by 2:

m = 7 ÷ 2

m = 3.5

Therefore, the value of "m" is 3.5.

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Answer:

y=2/3

Step-by-step explanation:

Find two points on the line and find the slope.

1,-3 -1,1

y1-y2/x1-x2

-3-1/1--1

-3/2

Then find the reciprocal of this slope by flipping the numerator and the denominator, changing the sign from positive to negative and visa versa.

Therefore, the probability that the team is comprised of 2 men and 2 women is approximately 0.4545, which is true.

To calculate the probability that the team is comprised of 2 men and 2 women, we need to determine the number of favorable outcomes (teams with 2 men and 2 women) and the total number of possible outcomes (all possible teams).

The number of ways to choose 2 men from 6 men is given by the combination formula: C(6, 2) = 6! / (2! * (6-2)!) = 15.

Similarly, the number of ways to choose 2 women from 6 women is also C(6, 2) = 15.

Therefore, the number of favorable outcomes is the product of the number of ways to choose 2 men and 2 women: 15 * 15 = 225.

Now, let's calculate the total number of possible outcomes. We need to choose 4 members from a total of 12 members, which is given by C(12, 4) = 12! / (4! * (12-4)!) = 495.

The probability that the team is comprised of 2 men and 2 women is the ratio of favorable outcomes to the total number of outcomes: 225/495 = 45/99 ≈ 0.4545 (rounded to four decimal places).

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For the given scattered plot a- independent variable is mother and dependent variable is father, height of daughter is 60inches, predicted height of the daughter is 60.08 inches.

What is scatter plot?

A scatter plot is a type of data visualization that displays the relationship between two variables. It is commonly used to analyze and identify patterns or trends in a dataset.

In a scatter plot, each data point is represented by a dot or marker on a Cartesian coordinate system. The x-axis represents one variable, and the y-axis represents the other variable. The position of each dot on the plot corresponds to the values of the two variables for that particular data point.

a)As per the equation Daughter = 22.35 + 0.686 Mother, the independent variable is the "Mother" and the dependent variable is the "Daughter."

b) Based on the graph, the approximate predicted height of the daughter of a mother who is 55 inches tall is around 60 inches, determined by the position on the graph.

c) By substituting the value of the mother's height (55 inches) into the equation, the predicted height of the daughter is calculated as 60.08 inches.

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the complete question is:

The heights of mothers and daughters are displayed in the scatterplot. sections (a) through (e) in full

Daughter 22.35+0.888 Mother

A- What independent and dependent variables are shown on the data graph?

b) By looking at the graph, you can estimate the predicted height of the daughter of a mother who is 55 inches (4 feet 7 inches) tall.

c) Using the equation provided, you can determine the predicted height of the daughter when the mother's height is 55 inches.

To meet her daily goal, Ling need to pedal approximately 1,008 revolutions each day.

To find the number of revolutions Ling will need to pedal each day to meet her daily goal, we need to first find the circumference of her unicycle tire.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the diameter of Ling's unicycle tire is 20 inches, the radius is 10 inches. Therefore, the circumference of her unicycle tire:

C = 2π(10) = 20π inches.

Next, we need to convert Ling's daily goal of one mile, or 5280 feet, to inches. There are 12 inches in a foot, so 5280 feet is equal to 5280 * 12 = 63360 inches.

Finally, we can find the number of revolutions Ling will need to pedal each day by dividing her daily goal in inches by the circumference of her unicycle tire in inches:

Number of revolutions = 63360 inches / 20π inches = 20,160π / 20π = 1,008

Therefore, Ling will need to pedal approximately 1,008 revolutions each day to meet her daily goal.

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Without the projected value of the company at the end of year 5 (V), it is not possible to determine the specific ownership stake Benedicta should insist on today.

To determine the share of the company Benedicta Jones should insist on today, we need to calculate the present value of the expected future ownership stake at the end of year 5, based on her required rate of return of 50%.

Let's assume that the projected value of the company at the end of year 5 is V. Benedicta wants the management team to own at least a 15% share of the company by that time. So, the expected ownership stake at the end of year 5 would be 15% of V.

To calculate the present value of this future ownership stake, we discount it back to the present using the required rate of return. The formula for calculating the present value is:

PV = FV / (1 + r)\(^n\)

Where PV is the present value, FV is the future value, r is the required rate of return, and n is the number of years.

In this case, the future value (FV) is 15% of V, the required rate of return (r) is 50% (0.5), and the number of years (n) is 5.

PV = (15% of V) / (1 + 0.5)\(^5\)

Now, we can solve this equation to find the present value of the ownership stake.

However, we don't have the projected value of the company (V) or any additional information to determine it. Without the specific value of V, we cannot calculate the exact present value of the ownership stake Benedicta should insist on today.

Please provide the projected value of the company at the end of year 5 (V) so that we can calculate the required ownership stake.

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Answer:

B

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , then

? + 107° + 143° = 360°

? + 250° = 360° ( subtract 250° from both sides )

? = 110° → B

Answer:

x=7

Step-by-step explanation:

The equation of parabola is f ( x ) = -2 ( x + 5 )² - 3 and the vertex of the parabola is ( -5 , -3 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -2x² - 20x - 53   be equation (1)

On simplifying the equation , we get

A = -2x² - 20x - 50 - 3

Taking the common factor in the equation , we get

A = -2 ( x² + 10x + 25 ) - 3

On factorizing the equation , we get

A = -2 ( x + 5 )² - 3

So , the the equation of parabola is of the form y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Therefore , the vertex of the parabola is ( -5 , -3 )

Hence , the equation of parabola is A = -2 ( x + 5 )² - 3

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