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TiliK225 [7]
2 years ago
14

Katie is incorrect since she has 4 gallons left in the container.

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

Katie is incorrect since she has 4 gallons left in the container?

Step-by-step explanation:

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A solid rectangular box with height 5 m and square base with side lengths 4 m is built using a lightweight material whose densit
elena55 [62]

Answer:

627200LJ

Step-by-step explanation:

Height of box=5 m

Side of square base=4 m

Volume of rectangular box=l\times b\times h

Using the formula

Volume of rectangular box=4\times 4\times 5=80m^3

Density of material=800kg/m^3

We know that

Mass=Density\times volume

Using the formula

Mass of  rectangular box=80\times 800=64000 kg

Gravity=g=9.8m/s^2

Weight of  rectangular box,F=mg=64000\times 9.8 N

Let L  be the vertical distance traveled by box

Total work done =W=F\times displacement

Therefore,total work done against gravity =64000\times 9.8 L=627200 L J

Hence, the box requires work against gravity=627200LJ

5 0
3 years ago
The Silver Lake Reservoir in California is being drained to make way for an underwater pipeline. The reservoir holds 400400400 m
MArishka [77]

Divide the total the lake holds by the number of days:

400 million / 25 days = 16 million gallons per day.

3 0
2 years ago
What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
2 years ago
Given 100 grams of bacteria that decreases at the rate of 1/2 per year. What would be an appropriate range after 4 years
Brilliant_brown [7]

Answer: B 0

Step-by-step explanation:

8 0
2 years ago
Can someone please help me​
Svetllana [295]

Step-by-step explanation:

I think its 2/6 becuase its bigger

3 0
3 years ago
Read 2 more answers
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