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garik1379 [7]
3 years ago
10

Ln x-ln(x-5)=ln2 Help in this problem please having problems on my homework

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0
17 because you need to multiply
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Which figure best represents a kite?
never [62]
A kite would be the right answer
4 0
2 years ago
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
What is the variance?
kotegsom [21]

Answer:

Variance is the squared deviation and deviation is the difference of observed value from other values

Step-by-step explanation:

Variance is the squared deviation and deviation is the difference of observed value from other values

variance=\text({standard deviation})^2

Variance=\sum\frac{(x-\mu)^2}{N}

Where, \mu=\text{mean},N=\text{Number of sample space}


8 0
3 years ago
Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and
Alborosie
Putting this as an arithmetic sequence gives:

u_n = 150+200(n-1)

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L

The sum of an arithmetic series can be written as:

S_n=n/2 [2a+(n-1)d] = 784 000
\\n/2[2(150)+(n-1)200] = 784 000
\\n[300+200(n-1)=1 568 000
\\300n+200n^2-200n = 1 568 000
\\200n^2+100n- 1 568 000 = 0
\\2n^2 +n- 15680 = 0

\\n= 88.2...,-88.7

n has to be positive, so we get

n = <u>88.2 hours (3 s.f.)</u>
3 0
3 years ago
Read 2 more answers
HELP pls!
Anastaziya [24]

Answer:

15

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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