What is seven and forty hundredths in standard form

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest

Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

Answer:

5 kilos

Step-by-step explanation:

55:11

5:1 ratio

Answer:

10m

Step-by-step explanation:

length = 8m , breadth =6m

diagonal = 8square + 6square

= 64 + 36

= 100 square

=10m

Answer:

Step-by-step explanation:

[tex]\sqrt{8^2+10^2} =\sqrt{64+100} =\sqrt{164} =2\sqrt{41} \approx 12.81 "[/tex]

Answer:

addition

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

PEMDAS: Parentheses, Exponent, Multiply, Divide, Add, Subtract. (The multiply and divide can be swapped, as well as the add and subtract :3) Hope this helps! :D

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

Answer:

B

Step-by-step explanation:

6 miles............

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer: No

Step-by-step explanation:

you just gotta keep trying and ill help u

1. 6/7

2. 3/5 is already in its simplest form

3. 5 2/9

Answer:

True

Step-by-step explanation:

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Answer:

6

Step-by-step explanation:

8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest

Answer:

26 bc it is equall

Step-by-step explanation:

Answer:

1  cup

Step-by-step explanation:

You divide 36 by 2 to see how many cookies can be made with 1 cup which is 18 so in this question its 1

Answer:

D. y=-2x-2

Step-by-step explanation:

To find a line perpendicular to another line take the negitive inverse which is fliping the fraction and multiplying it by -1. To see if it crosses a point just plug in for that point.

Answer:

wrong

Step-by-step explanation:

go to my crib and eat his pickles

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Answer:

yes

Step-by-step explanation:

2+3 is equal to 5 so he will make less that 6 cups

Answer:

correct

Step-by-step explanation:

it should be correct

Answer:

720

Step-by-step explanation:

This is a permutation since the order at which the people are picked matter due to the fact that it is a race. Using the permutation formula

P= n!/ (n-r)! you can find the different ways the race would end. n stands for the total number of objects in the set while r stands for the number of objects chosen from said set. Then you plug in the numbers in the formula: P= 10!/(10-3)!= 720

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer:

43 square cm

Step-by-step explanation:

8 x 6 - (2 x 5 / 2)

8 x 6 - 5 =

48 - 5 =

43 cm square

Hope that helps!

Answer:

43

Step-by-step explanation:

first rectangle is 6*8=48 and small triangle is (8-3) * (6-4)/2=5*2/2=5*1=5

so 48-5=43

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)