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2 years ago

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

Mathematics

2 answers:

finlep [7]2 years ago

3 0

Answer:

the answer is:

-0.86

Step-by-step explanation:

kompoz [17]2 years ago

3 0

Answer:

B on ed!!!!

Step-by-step explanation:

(-0.86)

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Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b

Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$

The area of the 10 feet long wall = $(length)(width)= (10)(8) =80,$

The area of the 5 feet long wall = $(length)(width)= (5)(8) =40,$

The area of the 4 feet long wall = $(length)(width)= (4)(8) =32,$

The area of the 15 feet long wall = $(length)(width)= (15)(8) =120.$

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = $432(2)=864$ square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = $\frac{864}{500} = 1.728$ cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0

2 years ago

A rural mail carrier logged the mileage on the odometer at the start of the mail route as 31,500 miles. After 6.5 hours, the car

disa [49]

Answer:

Step-by-step explanation:

Average speed = total distance / total time taken

Average speed is the total distance traveled divided by the total time taken

The carrier first odometer route is

d_1 = 31,500 miles

On return of the truck, the odometer reads

d_2 = 31,713 miles

The total time taken is 6.5 hours on return

Then,

Average Speed = total distance / total time.

A.V = (d_1 + d_2) / t

A.V = (31,500 + 31713) / 6.5

A.V = 63213 / 6.5

A.V = 9725.1 mile per hour

A.V = 9725.1 mph

3 0

2 years ago

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going fro

adell [148]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60

damaskus [11]

Answer:

The area of the hexagon is A. 96√3 cm²

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

Area = (3√3/2) * 8²

Area = (3√3/2) * 64

Area = 192√3/2

Area = 96√3 cm²

The area of the hexagon is A. 96√3 cm²

7 0

2 years ago

Find the absolute maximum and absolute minimum of the function f(x,y)=2x2−4x+y2−4y+1 on the closed triangular plate bounded by t

marusya05 [52]

First check for the critical points of f by checking where the first-order derivatives vanish.

$\dfrac{\partial f}{\partial x}=4x-4=0\implies x=1$

$\dfrac{\partial f}{\partial y}=2y-4=0\implies y=2$

Notice how the point (1, 2) lies on the line y = 2x ; at this point, we get a value of f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves. If x = 0, then

$f(0,y)=y^2-4y+1=(y-2)^2-3$

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then

$f(x, 2)=2x^2-4x-3=2(x-1)^2-5$

with a maximum of -5 when x = 1.

If y = 2x, then

$f(x,2x)=6x^2-12x+1=6(x-1)^2-5$

with the same maximum of -5 when x = 1.

6 0

2 years ago