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balandron [24]
3 years ago
13

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Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

2cm of Rainfall

Step-by-step explanation:

When the no. of mosquitoes is the highest the slope of graph will be zero

so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.

m(x)= -x²+4x

differentiate

d(x)/d(m(x))= -2x+4

equate to zero

-2x+4=0

2x=4

x=2

answer: 2 cm of rain

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8 0
3 years ago
How many months in 3 million years?
Ilia_Sergeevich [38]
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3 0
3 years ago
On a school field​ trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d
adelina 88 [10]

Given Information:

Distance = d = 12 miles

Time = t = 15 minutes

Required Information:

Speed of the bus = r = ?

Answer:

Speed of the bus = r = 48 mph

Step-by-step explanation:

We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.

We are required to find the rate or speed at which the bus is traveling.

The relation is given by

rate = \frac{distance}{time}\\\\r = \frac{d}{t}

Where r is the rate or speed, d is the distance and t is the time.

First let us convert time from minutes to hours

as we know 1 hour has 60 minutes,

15/60 = 0.25 hour

Now we will get the speed of the bus in miles per hour

r = \frac{d}{t}\\\\r = \frac{12}{0.25}\\\\r = 48 \: mph

Therefore, the speed of the bus is 48 miles per hour.

5 0
3 years ago
Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C
Lesechka [4]

Answer:

Solution : -\frac{3}{4}-\frac{3}{4}i

Step-by-step explanation:

-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}

=-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right) ÷ 2\sqrt{2}\left(0-1\right)i

= 3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right) ÷ -2\sqrt{2}i

= \frac{3\left(1-i\right)}{\sqrt{2}}÷ 2\sqrt{2}i = -3-3i ÷ 4 = -\frac{3}{4}-\frac{3}{4}i

As you can see your solution is the last option.

3 0
3 years ago
Tyler bought two tickets to a basketball game on the website Game Finder. Each ticket cost $65, and the website charged a conven
defon

First you write down the formula. How do you get 132.60 in the first place? I included a pic, please try to understand it. As it'd be v useful in daily life too.

7 0
3 years ago
Read 2 more answers
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