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3 years ago

Evaluate the logarithm log(5)1 (5) is base

Mathematics

1 answer:

marta [7]3 years ago

8 0

Answer: 0

log (5) 1
log b n = e
b^e = n
5^x = 1
x = 0
5^0 = 1 (any number to the power of 0 equals 1)

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Graph the image of QRS after a rotation 270º counterclockwise around the origin.

sergij07 [2.7K]

Answer:

Q=(1,-5)

R=(5,-5)

S=(2,-7)

Step-by-step explanation:

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3 years ago

For which angle theta is cos theta =-1? a) 270 b) 360 c) 450 d) 540

yanalaym [24]

Answer:

540°.

Step-by-step explanation:

On a unit circle, cos θ = -1 at 180°.

However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.

To solve for the angle:

180° + 360° = 540°. This is the next angle at which cos θ = -1.

7 0

3 years ago

Read 2 more answers

What is the length of ac help pls

Lelu [443]

Answer:

x=2

Step-by-step explanation:

This is an isosceles triangle you can tell by the two congruent/equal angles

angle A is congruent/equal to angle C by definition the two sides will be equal.

x-4=3x-8

1. get all you x's on one side. by subtracting x from both sides you don't have to deal with dividing by negatives later on.

x-x-4=3x-x-8

-4=2x-8

now you want to get x by itself so add 8 to both sides

4= 2x

x is still not by itself so divide both sides by 2

x=2

6 0

3 years ago

Find the length of the side marked x

ruslelena [56]

it's a right angled triangle so we will use hypotenuse formula to get the value of x

hypotenuse formula = a² + b² = c²

a = side of the triangle

b = base of traingle

c = hypotenuse ( can be written as h too)

and the formula can also be written as.

c² = a² + b²

therefore, x = 12.1

hope this answer helps you dear...take care!

3 0

3 years ago

A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m

Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

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 time interval.

On average sells 8.9 machines per month.

So $\mu = 8.9$

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001$

$P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012$

$P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067$

0.67% probability he will have to shut down after this month

5 0

3 years ago