Find the slope-intercept equation of the line
that passes through (5,-2) and has a slope of
3

make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20   x= 40

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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There are variations in the participation prices of boys and girls across unique sports, with boys having decreased representation in varsity soccer, better representation in freshman basketball, and identical illustration in varsity tennis compared to ladies.

Based on the given statements:

The percentage of boys who play varsity soccer is much less than the share of ladies who play varsity football.

The share of boys who play freshman basketball is extra than the share of girls who play freshman basketball.

The percentage of boys who play varsity tennis is the same as the variety of women who play varsity tennis.

We can finish subsequent:

Boys have a lower representation in varsity football as compared to ladies.

Boys have a higher representation in freshman basketball in comparison to ladies.

The percentage of boys playing varsity tennis is identical to the proportion of women playing varsity tennis.

These statements suggest differences in participation fees and proportions between boys and women in unique sports activities.

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The correct question is:

"The percentage of boys who play varsity soccer is ✔ less than the percentage of girls who play varsity soccer. the proportion of boys who play freshman b-ball is ✔ greater than the proportion of girls who play freshman b-ball. the percentage of boys who play varsity tennis is ✔ the same as the number of girls who play varsity tennis.

What can you conclude from the above statements?"

Answer:

the question is incomplete

Answer:

does it ?

Step-by-step explanation:

oh take to print 21 more pages ??

it's 7 more minutes dude !

The equivalent expression for [gofoh](9) is 5(32(9)^5-1).

According to the given question.

We have three functions

f(x) = x^5 - 1

g(x) = 5x^2

h(x) = 2x

Here, we have to find the equivalent expression for [gofoh](9).

so,

gofoh(x)

= g((2x)^5 -1)

= g(32x^5 -1)

= 5(32x^5 -1)

Therefore,

gofoh(9)

= 5(32(9)^5-1)

Hence, the equivalent expression for [gofoh](9) is 5(32(9)^5-1).

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Answer:

the number less than -1.5 would be 0-1 so it would be A)

The $7.25 federal minimum wage indicates that an individual that works for x hours, has a total income, y, in dollars that can be found using the following linear equation;

y = 7.25·x

A linear equation consits of expressions with variables that have a maximum index value of one (1). The graph of a linear equation is a straight line. A linear equation that has a graph that passes through the origin indicates that the relationship is a proportional relationship.

The indicated federal minimum wage = $7.25

An equation that can be used to find the income of an individual paid at the rate of the federal minimum wage can be found as follows;

The number of hours worked by the individual = x

The total income received for the number of hours worked = y

The equation is therefore;

Total repayment, y = 7.25·x

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Yes, that is correct.

A z-score, also known as a standard score, is a measure of how many standard deviations a data point is away from the mean of a normal distribution. When the mean is 0 and the standard deviation is 1, the normal distribution is known as the standard normal distribution. Z-scores are useful for comparing data points from different normal distributions and for calculating probabilities in a standard normal distribution. For example, a z-score of 1.5 means that the data point is 1.5 standard deviations above the mean of the standard normal distribution.

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Answer:

15+0.75x

Step-by-step explanation:

x=number of tickets

Answer:

\(a) \frac{ - 8}{7} \)

\(b) \frac{0}{1} \)

\(c) \frac{7}{3} \)

hope it helps you:)

Answer:

The maximum value of p is 18

Step-by-step explanation:

5x + y < 16 --> constraint A

2x + 3y < 22 --> constraint B

x > 0 --> constraint C

y > 0 --> constraint D

The vertices of the solution area are

(0,0), (0,7.3), (2,6) and (3.2,0)

To find the maximum value of p, substitute the value of x and the value of y of each vertices in the equation and then compare the results

p = 3x + 2y

For (0,0)

p = 3(0) + 2 (0)

For (0,7.3)

p = 3(0) + 2 (7.3) = 0

For (2,6)

p = 3(2) + 2(6) = 18

For (3.2,0)

p = 3(3.2) + 2(0) = 9.6

therefore the maximum value of p = 18

hope this helps :) !!!

Answer:

18

Step-by-step explanation:

To find the maximum value of p, substitute the value of x and the value of y of each vertices in the equation and then compare the results

p = 3x + 2y

For (0,0)

p = 3(0) + 2 (0)

For (0,7.3)

p = 3(0) + 2 (7.3) = 0

For (2,6)

p = 3(2) + 2(6) = 18

For (3.2,0)

p = 3(3.2) + 2(0) = 9.6

therefore the maximum value of p = 18

Answer:

I believe it is D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

the answer is d = 56 (12) = 6672 meters

she fall 6672 meters during these 12 seconds

ANSWERS

A. AB ≅ FG

B. ∡C≅ ∡H

EXPLANATION

A. To use SAS theorem, we have to know if one more side is congruent to the corresponding side of the other triangle. SAS is side-angle-side. The angle must be included between the two sides. Therefore the missing side is AB congruent to FG:

B. To use ASA Theorem we have to know one more angle. Since ASA is angle-side-angle, the side must be between two angles. Therefore, the missing angle is angle C congruent to angle H:

The factorization of 3x² - 6x - 24 will be (x + 8)(x - 10).

The equation is a polynomial with leading coefficient 3, the equations os in standard form, where the leading coefficient is positive and the terms are ordered from highest degree to lowest degree.

To solve thw equation goes thus:

3x² - 6x - 24

Divide through by 3

x² - 2x - 80

x² - 10x + 8x - 80

x(x - 10) + 8(x - 10)

(x + 8)(x - 10)

The value will be (x + 8)(x - 10).

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Answer:

I cant figure it out, sorry :(

The diameter of the circle pen for the sheep of the farmer is 68 yards.

The total length of the fencing used for the preparation of the fencing for sheep is 213.52 yards.

Thus,

circumference = 213.52 yards

The formula for the calculation of the circumference of circle is,

circumference = 2πr,

In which,

π = 3.14  and radius r.

Thus,

213.52 = 2πr

r = 213.52 / 2π

r = 34

Diameter = 2 x radius

Diameter = 2 x 34

Diameter = 68 yards.

Thus, the diameter of the circle pen for the sheep of the farmer is 68 yards.

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Answer:

pagiging matulungin sa kapwa

The required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

Given that,
Make two separate investments for a total of $4000. The percent return on Charles Schwab & co. At the end of the year was 5% and the percent return on Merill lynch was 7%. The combined return on both funds was $256.

here,
let x be the invested amount on Charles Schwab & co and y be the invested amount on Merrill lynch.
According to the question,
x + y = 4000
x = 4000 - y   - - - - - (1)
And
0.05x +0.07y = 256 - - - - (2)
From equation 1 and 2
x=1200 and y=2800

Thus, the required funds invested in Charles Schwab & co and Merrill lynch are 1200 and 2800 respectively.

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Answer:yes

Step-by-step explanation:(i just want points)

The solution to the system of linear equations is x = -2 and y = -4

An Algebraic equation is a mathematical statement that shows the equality between two or more quantities.

An Algebraic equation may be linear, quadratic or Polynomic depending on the highest degree on the variables.

y = 3x + 2 ---------------1

y = -2x - 8 ---------------2

Equating equations 1 and 2 to find the value of x

3x + 2 = -2x - 8

Collecting like terms

3x + 2x = -8 - 2

5x = -10

x = -10/5

x = -2

Substitute x = -2 in equation 1

y = 3(-2) + 2

y = -6 +2

y = -4

In conclusion, the solution to the system of equations is x = -2 and x = -4

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If the quadratic has x-intercepts of -3 and 5 the equation would be:

y=c(x+3)(x-5)

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, by creating one part as the mirror image of the other part.

First, we have to define the axis of symmetry.

The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.

We have x-intercepts of -3 and 5

In ordered to find the axis of symmetry we have to find their middle intercept

To find the axis of symmetry:

-3+5/2=2/2=1

So the axis of symmetry is x = 1

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The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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According to the design, both the PokerHand and BlackjackHand classes may, but are not required to override the methods of the parent Hand class. The Hand class provides the basic functionality for a player's hand of cards, such as adding cards to the hand, calculating the total value of the hand, and displaying the cards in the hand.

However, since Poker and Blackjack have their own unique rules and gameplay mechanics, the PokerHand and BlackjackHand classes may need to override certain methods to tailor them to their specific game.

For example, in Blackjack, the value of an Ace card can be either 1 or 11 depending on the situation, so the BlackjackHand class may need to override the calculateTotalValue method to take this into account.

Additionally, both the PokerHand and BlackjackHand classes may choose to override the toString method to display the hand in a way that makes sense for their respective game. For instance, in Poker, players often refer to their hand by its ranking, such as "two pair" or "flush", so the PokerHand class may choose to display the hand in this way.

Overall, while the Hand class provides a foundation for both PokerHand and BlackjackHand, allowing them to inherit common functionality, the ability to override certain methods allows them to adapt to the specific rules and requirements of their respective games.

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Answer:

88

Step-by-step explanation:

multiply 13 by 2 = 26

then add by 1 52 and 15

= 94

then subtract 94-6

88

Remember use Dmas while solving

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

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Answer:

(x-6)^2+(y-4)^2=10

Step-by-step explanation:

use the equation of a circle ( x- x coordinate of center)^2+(y-y coordinate of the center)^2=radius squared.

to solve for the radius, make a right triangle from the center to the point on the circle. 1^2+3^2=r^2. So r^2 is 10

Responses interval : (-1, -32) for the absolute minimum; (0, 0) for the relative maximum; (2, -32) for the absolute minimum; (+, +) for the absolute maximum (or "no absolute maximum")

Detailed explanation:

Extremes will occur at the domain interval's ends and at turns when the first derivative is zero.

It is the derivative.

h'(t) = 24t^2 -48t = 24t (t -2)

The extremes will be at t=0 and t=2, when there are zeros.

By evaluating the function at the endpoints of the interval and at the turning points, we can identify relative and absolute extrema.

h(-1) = 8(-1) (-1)

²(-1-3) = -32\s h(0) = 8(0)(0-3) = 0\s h(2) = 8(2²)(2 -3) = -32\s h(∞) = 8(∞)

³ = ∞

At t=-1 and t=2, the absolute minimum is found to be -32. The greatest value is, which is located at time t. At t=0, the relative maximum is zero, or 0.

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