Ask question

Ask question

All categories

Anastaziya [24]

3 years ago

7

The function L is the rate of change of the volume V of oil, in liters per hour, draining from a storage tank at time t (in hour

s). Interpret the integral $\int\limits^2_0 {L(t)} \, dt=100$ .

1 answer:

Westkost [7]3 years ago

4 0

Alright so i think it equals 100 becasue das wuh da thing explains

You might be interested in

Graph the equation to solve the system y= -1/2x +3 y= -1/3x +4

zheka24 [161]

Answer:

the solution is (-6, 6)

Step-by-step explanation:

This system, y= -1/2x +3 y= -1/3x +4, can be quickly solved for x by letting y = y:

y= -1/2x +3 = y= -1/3x +4. Then -1/2x + 3 = -1/3x +4. The fractional coefficients should be enclosed inside parentheses:

(-1/2)x + 3 = (-1/3)x +4

Let's remove the fractional coefficients. The LCD is (2)(3) = 6. Multiply all four terms by 6, obtaining:

-3x + 18 = -2x + 24

Combining like terms, we get -6 = x.

Find y: substitute -6 for x in either of the given equations:

y= (-1/2)(-6) +3 = 3 + 3 = 6. So y = 6 when x = -6, and the solution is (-6, 6).

6 0

3 years ago

Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

Find the value of x that makes the equation true 17 - 5(2x - 9) = -(-6x + 10) + 4

pogonyaev

Answer:

i think x=4.75

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve this expression using the distributive property: 5 (2x + 7). *<br> plz help fast

dlinn [17]

Answer:

10x + 35

Step-by-step explanation:

5 0

3 years ago

A farmer in Gervais is raising zebras and elephant. Last week, she bought 15 bags of feed. Zebra feed costs $35 a bag and elepha

morpeh [17]

Answer:

do 15 x35

Step-by-step explanation:

3 0

2 years ago