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3 years ago

Where do two perpendicular lines intersect

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

They intersect at a right angle

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36+36+36+36+36 ps i know this but this is way easyer

nika2105 [10]

Answer,

-Laura :-)

5 0

3 years ago

Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)

Nimfa-mama [501]

Answer:

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is 202500 swordfishes.

Step-by-step explanation:

Let be $f(p) = -0.01\cdot p^{2}+9\cdot p$ , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)

First Derivative Test

$f'(p) = -0.02\cdot p +9$

Let equalize the resulting expression to zero and solve afterwards:

$-0.02\cdot p + 9 = 0$

$p = 450$

Second Derivative Test

$f''(p) = -0.02$

This means that result on previous part leads to an absolute maximum.

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is:

$f(450) = -0.01\cdot (450)^{2}+9\cdot (450)$

$f(450) =2025$

The maximum sustainable yield is 202500 swordfishes.

6 0

3 years ago

Just learn this throughout a quick lesson, can someone help?

suter [353]

Answer:

The Pythagorean theorem is a^2+b^2=c^2 where c is the length of the longest, diagonal side (diagonal means opposite the right angle/small square).

Step-by-step explanation:

If you're looking for a short side (i.e. next to the right angle), square the longest one and subtract the square of the other known.

If you're looking for a long side (i.e. opposite the right angle), square both you know and add them together.

In both cases, take the Square Root with your calculator, or by trial and error, find a number that squares to make your current number.

[1] A square of the number x is x times x.

6 0

3 years ago

Equivalent expression of 8x+12-x

Irina-Kira [14]

Step-by-step explanation:

The equivalent expression of 8x + 12 - x = 7x + 12

7 0

3 years ago

A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or Too Short thus making them unusable

Nutka1998 [239]

Answer:

Step-by-step explanation:

30 are unusable in 200. So how many are unusable in 17,000??

We can set up a ratio and figure out the answer right away! Let x be the number of unusable bolts in 17,000, so we can write:

$\frac{30}{200}=\frac{x}{17,000}\\200x=30*17000\\200x=510,000\\x=\frac{510,000}{200}\\x=2550$

THus, number of unusable bolts is 2550. B is right.

4 0

3 years ago