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3 years ago

Solve the following equation by using properties of logarithms. 500 / (1 + e^-5x) = 300

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Step-by-step explanation:

in the 6 th process I've used natural logarithm ln and ln(e)=1.

if the answer is required in decimal u can substitute the value in calculator.

hope it helps

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Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of th

olya-2409 [2.1K]

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

$\sin\theta$ = $\frac{height}{hypotenuse}$

$\sin\90$ = $\frac{H}{80}$

1= $\frac{H}{80}$

H=80meters

5 0

3 years ago

Find the volume of the region bounded above by the elliptical paraboloid zequals=9 minus 4 x squared minus 5 y squared9−4x2−5y2

Virty [35]

Answer:

$\int\limits^1_0 \int^1_0{z} \, dA$

Step-by-step explanation:

$\int\limits^1_0\int^1_0 {9-4x^2-5y^2dy} \, dx$

$\int\limits^1_0 {9y-4x^2y-\frac{5y^3}{3}|_0 ^1 } \, dx$

$\int\limits^1_0 {22/3 -4x^2} \, dx$

You finish the leftover.

7 0

3 years ago

Please answer this I have trouble with it

Strike441 [17]

For the 1 first problem you have to do additive inverse where the subtraction sign is and then combine all the z's and then combine the normal numbers and then put plus sign in between

8 0

3 years ago

Read 2 more answers

What number times it self equals 42

postnew [5]

I wanna say 7 and 6 but I'm probably wrong

7 0

3 years ago

Each bag of Skittles is supposed to have at least 30 Skittles. A machine that fills bags has a 0.005 probability of under fillin

telo118 [61]

Answer:

The standard deviation for the number of bags that are underfilled is 2.236.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.

In this question:

Expected number of underfilled bags in a sample of n bags is:

$\mu = 0.005*n$

1000 bags, so

$\mu = 0.005*1000 = 5$

Standard deviation $S = \sqrt{5} = 2.236$

The standard deviation for the number of bags that are underfilled is 2.236.

5 0

3 years ago