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3 years ago

Which expression is equivalent to 16^2 − 36? (Explain)

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

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

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you are riding a bicycle which has tires with a 25-inch diameter at a steady 15-miles per hour, what is the angular velocity of

motikmotik

Answer:

The angular velocity is 6.72 π radians per second

Step-by-step explanation:

The formula of the angular velocity is ω = $\frac{v}{r}$ , where v is the linear velocity and r is the radius of the circle

The unit of the angular velocity is radians per second

∵ The diameter of the tire is 25 inches

∵ The linear velocity is 15 miles per hour

- We must change the mile to inch and the hour to seconds

∵ 1 mile = 63360 inches

∵ 1 hour = 3600 second

∴ 15 miles/hour = 15 × $\frac{63360}{3600}$

∴ 15 miles/hour = 264 inches per second

Now let us find the angular velocity

∵ ω = $\frac{v}{r}$

∵ v = 264 in./sec.

∵ d = 25 in.

- The radius is one-half the diameter

∴ r = $\frac{1}{2}$ × 25 = 12.5 in.

- Substitute the values of v and r in the formula above to find ω

∴ ω = $\frac{264}{12.5}$

∴ ω = 21.12 rad./sec.

- Divide it by π to give the answer in terms of π

∴ ω = 6.72 π radians per second

The angular velocity is 6.72 π radians per second

3 0

3 years ago

What is ac? HELP PLSSS

elena55 [62]

What is the context for the question if there is any?

4 0

3 years ago

Read 2 more answers

ITS URGENT PLEASE HELP ME

Iteru [2.4K]

I think that it is D or A

3 0

2 years ago

11 m

liubo4ka [24]

first off let's notice that the height is 11 meters and the volume of the cone is 103.62 cubic centimeters, so let's first convert the height to the corresponding unit for the volume, well 1 meters is 100 cm, so 11 m is 1100 cm.

$\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{103.62}\\ h=\stackrel{cm}{1100} \end{cases}\implies 103.62=\cfrac{\pi r^2 (1100)}{3} \\\\\\ 3(103.62)=1100\pi r^2\implies \cfrac{3(103.62)}{1100\pi }=r^2 \\\\\\ \sqrt{\cfrac{3(103.62)}{1100\pi }}=r\implies \stackrel{cm}{0.00510199305952} \approx r$

6 0

2 years ago

Correct I’ll give brainlist no links or I’ll report

Gwar [14]

Alright, to start, slope-intercept form is y=mx+b, where m is the rate is it going up/down by, and b is the starting point.

With this, the question says that Coraz started with 0 naxvips then purchased 10 each month afterwards.

From this, we can fill in the equation, using m as the rate it is going up/down and b as the starting point:

<h3>The Equation: </h3>

y=10x+0

Next, it wants a table, so let's use the equation created to do this. X is the amount of months that have gone by, deciding how many naxvips Coraz has purchased.

So, to start, lets plug in 0 months into the equation into x:

y=10(0)+0

y=0+0

y=0

The answer resulted in 0 for month 0, understandably. Month 0 was when it said Coraz had 0 naxvips on his farms. With this, it would be (0,0) for this part.

For the next month, same thing, just plug it in:

y=10(1)+0

y=10+0

y=10

The answer resulted in 10 for month 1. Month 1 was when it said Coraz purchased his first batch of 10 naxvips. With this, it would be (1,10) for this part.

Again, with 2 months

y=10(2)+0

y=10+0

y=20

The answer resulted in 20 for month 2. Month 2 was when he got another 10 naxvips. With this, it would be (2,10) for this part. However, see the pattern? For every month, there will be 10 more naxvips added. With this, we can write out the table for it as well:

<h3>The Table:</h3>

(X, Y)

0, 0

1, 10

2, 20

3, 30

4, 40

etc..

5 0

3 years ago