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nataly862011 [7]

2 years ago

7

A pilot is allowed to fly a maximum of 60,000 minutes per year How many hours is a pilot allowed to fly in a year? (Round to the

nearest whole hour, if necessary.)

1 answer:

enot [183]2 years ago

8 0

The answer is 1000 hours

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A label is placed around the juice box below, not including the bases. Determine the surface area of the label.

il63 [147K]

Answer:

7.5in explanation:4in+2in+1.5in=7.5in

5 0

2 years ago

Toyota is discounting all their 2020 cars by 21% to make room for the new 2021 vehicles. A 2020 Rav 4 has a sticker price of $23

sineoko [7]

Answer:

B $18,861.25

Step-by-step explanation:

8 0

2 years ago

A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

$\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60$

$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$

When t=60 seconds

$N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL$

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0

2 years ago

A parabola can be drawn given a focus of

Volgvan

Answer:

$y=-\frac{1}{4}(x-2)^{2}+9$

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at $(2,8)$ .

Directrix of the parabola is $y=10$ .

Let $(x,y)$ be any point on the parabola. Then, from the definition of a parabola,

Distance of $(x,y)$ from focus = Distance of $(x,y)$ from directrix.

Therefore,

$\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|$

Squaring both sides, we get

$(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9$

Hence, the equation of the parabola is $y=-\frac{1}{4}(x-2)^{2}+9$ .

4 0

3 years ago

Find the perimeter and area of the figure.

Jobisdone [24]

The area is 36 and the perimeter is 26

5 0

3 years ago

Read 2 more answers