Please explain The Four Color Theorem and list 1 example

Answer:

11.52

Step-by-step explanation:

$12.99 + $15.49 - $40 = 11.52

Answer:

6.  2

7. (-3/2)

Step-by-step explanation:

6. 4x - 2y = 8

  -4x          -4x

-2y = -4x + 8

y = 2x + 4

y = 2/3x + 1

reciprocal of 2/3 is -3/2

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(6)

Given

4x - 2y = 8 ( subtract 4x from both sides )

- 2y = - 4x + 8 ( divide all 3 terms by - 2 )

y = 2x - 4 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

Slope of parallel line is m = 2

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

(7)

Given

y = [tex]\frac{2}{3}[/tex] x + 1 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

Answer:

The rock takes 4.18 seconds to hit the ground

Step-by-step explanation:

Function Model

The height of a rock h, after t seconds, can be modeled by the polynomial function:

[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]

When the rock hits the ground, the height is 0, thus we need to find the value of t such as:

[tex]-4.9t^2+20t+2=0[/tex]

A quadratic equation can be expressed as:

[tex]at^2+bt+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The values for the given equation are:

a=-4.9, b=20, c=2

Applying the formula:

[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]

[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]

[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]

There are two possible solutions:

[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]

[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]

Since t > 0, the only solution is t=4.19 seconds

The rock takes 4.18 seconds to hit the ground

Answer:

301.57

Step-by-step explanation:

I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.

Answer:

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

by formulas . you can solve permutations and combinations by formulas .

Answer:

The answer would be 15yd^2.

Step-by-step explanation:

The area of a triangle is found by...

A = (L*H) / 2

L = length

H = height

Answer:

15.0 yd

Step-by-step explanation:

 A=  h b/2 = 3·10/2=15

Answer:

Reduces risk by spreading money among a wide array of investments. When a company combines the funds of many different investors and then invests that money in a diversified portfolio of stocks and bonds. Included is bonds, stocks, real estate, speculative investments.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)

Answer:

The question is what does x mean. And x = 2/25 and in decimal form x equals 0.08.

Step-by-step explanation:

Hope this helps:) May I have brainliest?

Answer:

13. -200, balance on car loans

14. 8, monthly payments

15. linear eqn, y=ax+b

16.values of y will decrease.(although i think the graph will remain linear)

17. as the monthly payment decrease so does the balance on car loan decrease.

Answer: you would times the base times height

Step-by-step explanation: learned it in middle school

The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,

y = mx + c

7 = 0(4) + c

c = 7

Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.

Learn more about Equation of Line:

https://brainly.com/question/21511618

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Answer:

no thxxxx

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

-0.28

Step-by-step explanation:

(-6)-(-8)=2.

7-14=-7

2/-7=-0.28

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150

Answer:

I'm sorry can't help but edit it to a question

Step-by-step explanation:

:) ello

Answer:

-6r-18g+6t

Step-by-step explanation:

Answer:

18g−6r+6t

PLEASE GIVE BRAINLIEST I EVEN EXPLAINED IT

Step-by-step explanation:

−6(r+3g−t)

=(−6)(r+3g+−t)

=(−6)(r)+(−6)(3g)+(−6)(−t)

=−6r−18g+6t

=−18g−6r+6t

Answer:

distribute on each side is correct :)

Answer:1/9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

big number

Answer:

D

Step by step explanation:

08*10^2=800

4,000,000/800=5,000

Answer:

21.9 feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Given parameters

Altimeter of vivian at its lowest point = -9.6 feet

Altimeter of vivian at the top of the wheel = 12.3feet

Note that the sea level is at 0 feet.

change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:

= (12.3-0)+(0-(-9.6))

= 12.3+(0+9.6)

= 12.3+9.6

= 21.9 feet

From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.

The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.

Answer:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Step-by-step explanation:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Answer:

yes

Step-by-step explanation:

Answer: 19 + 12n

Step-by-step explanation: 1 + 3(4n + 6)

1 + 12n + 18

19 + 12 n