The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?​

Answer:

(2,-3)

Step-by-step explanation:

2x + 2y = -2

3x - 2y = 12

Add the two equations to eliminate y

2x + 2y = -2

3x - 2y = 12

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

5x   = 10

5x/5 = 10/5

x = 2

Now find y

2x+2y = -2

2(2)+2y = -2

4+2y = -2

Subtract 4 from each side

4-4 +2y = -2-4

2y = -6

Divide by 2

2y/2 = -6/2

y = -3

(2,-3)

Answer:

I just need points sorry love But the answer is A.

Step-by-step explanation:

can you make the picture more clear?

Answer:

a) [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

b) The volume of the box is maximized when 'x' is approximately 1.585 feet

Step-by-step explanation:

a) Let 'a' represent the length of the rectangular sheet of paper and let 'b' represent the with of the rectangular sheet of paper, we have;

The length of the side of the square cut from the corners of the rectangular sheet of paper = x

The length of the box formed after cutting the square sides are;

The length of the box, l = a - 2·x

The width of the box, w =  b - 2·x

The height of the box, h = x

The volume of the box, V = l × w × h = (a - 2·x)·(b - 2·x)·x = 4·x³ - 2·a·x² - 2·b·x² + a·b·x

The value of 'x' that gives the maximum volume of the box is given by finding the extremum of the volume, 'V', of the box as follows;

At the extremum, dV/dx = 0

∴ d(4·x³ - 2·a·x² - 2·b·x² + a·b·x)/dx = 12·x² - 4·a·x - 4·b·x + a·b = 0

12·x² - 4·(a + b)·x + a·b = 0

[tex]x = \dfrac{4\cdot (a + b) \pm \sqrt{(-4\cdot (a + b) )^2-4 \times12\times a \cdot b } }{2 \times 24} =\dfrac{a+b\pm\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

Found from part (b), the value of 'x' (in terms of 'a' and 'b') that maximizes the volume of the box is [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

b), When a = 8.5 inches and b = 11 inches, we have;

x = (8.5 + 11 +√((8.5 + 11)² - 3×8.5×11))/6 = 4.914

x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585

We get;

When x = 1.585, V = 4·1.585³ - 2·8.5·1.585² - 2·11·1.585² + 8.5·11·1.585 ≈ 66.15

When x = 4.914, V = 4·4.914³ - 2·8.5·4.914² - 2·11·4.914² + 8.5·11·4.914 ≈ -7.65

Therefore, the value of 'x' that gives the maximum volume of the box is x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585

(The value of 'x' in terms of 'a' and 'b' is therefore;

[tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex])

The volume of the box is maximized when, x ≈ 1.585 feet

Answer:

2 cm

Step-by-step explanation:

V=πr2h = 20π

-π                -π

r2h = 20

h= 5

r2(5) = 20

/5         /5

r2=4

/2  /2

r=2cm

(my work is complicated, but trust me 2 cm is the answer)  

Answer:

[tex]50~in[/tex]

Step-by-step explanation:

[tex]perimter=AB+AM+BM[/tex]

[tex]AM=2EM=2(9in)=18in[/tex]

[tex]BM=25E=2(7in)=14in[/tex]

∠m= [tex]180-[/tex] (∠A+∠B)= 180-(70+40)

∠m= 70⇒ AB= AM⇒AB=18

[tex]perimeter=18+14+18=[/tex]

[tex]50~in[/tex]

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

hope it helps...

have a great day!!

Answer:

your answer will be 50 in

Step-by-step explanation:

Answer:

x = 90, y = 12

Step-by-step explanation:

The key to this problem is the fact that opposite sides of a parallelogram are congruent (their lengths are equal).

Set up and solve two equations, one for x and one for y.

x + 80 = 2x - 10

80 = x - 10

90 = x

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

3y - 4 = y + 20

2y - 4 = 20

2y = 24

y = 12

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Hence

m∠1 = 180° - (79 ° + 31°)

m∠1 = 70°

Answer:

The average rate of change over the interval [2,5] is 3

The average rate of change over the interval [5,7] is -2

The average rate of change over the interval [2,8] is 0

Step-by-step explanation:

in photo

Answer:

3

Step-by-step explanation: First, you find the mean of the data set. Then you take that mean and find the difference of that and each value, you add those up and find the mean of that number.

Answer:

40 each i think maybe 30 if not

Answer:

i wrote "13 8/9 because 16 2/3 x 16 2/3= 50/3 x 50/3 = 250/9 then 250/9 ÷ 2 = 125/9 = 13 8/9"

Step-by-step explanation: if u add in some words or something so you teacher isnt sus hope you pass!!

Answer:

6

Step-by-step explanation:

50% of 12= 1/2 of 12= 6

Answer:

6 votes were for hunger relief.

Step-by-step explanation:

Total number of votes = 12

Percentage of votes for hunger relief = 50%

So, number of votes for hunger relief would be:-

50% of 12 votes

That equals--> [tex]\frac{50}{100}[/tex] x 12

= 0.5 x 12

= 6 votes

Answer:

4. x=0 x=5

5. x=-4 x=8

Answer:

nsovurhnvurnvhfbsybvhnfshugb

Step-by-step explanation:

Answer:

I know the answer come follow me to see

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

Answer:

(-3,0)

Step-by-step explanation:

1) find the coordinate of x

x = -3

2) find the coordinate of y

the point lies on x axis so y = 0

The coordinates are (-3, 0)

:)

Answer:

A. B. and C.

(and hi again)

Answer:

Ask every tenth customer over the period of a week.

Step-by-step explanation:

Required

Select which of the options is true

(a) Every 5th male customer

This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample

(b) Every customer after 5:00pm

This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample

(c) Every 10th customer over the week

This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer: 132.7 square inches

Area of a circle formula: [tex]\pi r^{2}[/tex]

Because we know that a diameter is twice the size of the radius and the diameter is 13 inches, we can divide 13 by 2 to get 6.5

Plug in this value into the formula, to get [tex]\pi (6.5^{2})[/tex]. Simplify the equation to get [tex]\pi (42.25)[/tex]. Multiply to get 132.7.

Answer:

It's A

Step-by-step explanation:

To find area= pie*raduis*radius

To find raduis you'll divide diameter by two

so 13 divided by 2 is 6.5

6.5*6.5*3.14=132.7

Answer:

21 km/h

Step-by-step explanation:

true (I don't know if this is the answer but it would be my guess)

Answer:

1/9 or unlikely

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation: