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3 years ago

How do I do this when I first learn it

Mathematics

2 answers:

Strike441 [17]3 years ago

7 0

You have to count how many months are in a year this case 12. Use the equation you made to solve the problem.
y=12x+b

oksano4ka [1.4K]3 years ago

3 0

You would put in 12 for x since there are 12 months in a year. Then you would multiply 12 by 35, and add 70.

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Hello , how to do 6(iii)?

Doss [256]

Answer:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}$

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Therefore:

$\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Next, the surface area of a sphere S is given by:

$\displaystyle S=4\pi r^2$

Therefore:

$\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}$

We can divide both sides by 2:

$\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}$

We can substitute this into dV/dt. Rewriting:

$\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)$

So:

$\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}$

Since dV/dt = 0.03 or 3/100:

$\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}$

Therefore:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)$

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

4 0

3 years ago

A bus is travelling from Addis Ababa to Ambo. It travels 43 km in the first hour

zhuklara [117]

<h3>Answer: 43 km per hour</h3>

==================================================

Work Shown:

total distance = 43+40+46 = 129 km

total time = 1+1+1 = 3 hours

average speed = (total distance)/(total time)

average speed = (129 km)/(3 hrs)

average speed = (129/3) (km/hr)

average speed = 43 km per hour

8 0

3 years ago

Read 2 more answers

Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10

PilotLPTM [1.2K]

Solving   <span>8x-5y=10 for y helps us to identify the y-intercept:

-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>

4 0

3 years ago

Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. H

mart [117]

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned $\$60$ in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

$\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36$

So, Kwasi has enough money left to buy a skateboard.

3 0

3 years ago

A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear

snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.

See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

opposite = x

hypothenus = 3.2

θ = 30°

Sin30 = x / 3.2

X = 3.2sin30

X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

6 0

3 years ago