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Marat540 [252]
2 years ago
15

Please help me on this please

Mathematics
2 answers:
RideAnS [48]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Use the properties of logs.

MakcuM [25]2 years ago
6 0

By definition, we have the following logarithm properties:

log (A * B) = log (A) + log (B)\\log (A ^ n) = n * log (A)\\log (\sqrt [n] {A}) = \frac {1} {n} * log (A)

Now, we can rewrite the given expression as:

log_ {5} [((5x ^ 3) ^ 2) * \sqrt [3] {x ^ 2 + 6}] =\\log_ {5} (5x ^ 6 * \sqrt [3] {x ^ 2 + 6})

Answer:

Option B

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maks197457 [2]
I’m pretty sure I did my math right, hope this helps.

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3 years ago
The lifetime of two light bulbs are modeled as independent and exponential random variables X and Y, with parameters lambda and
Scorpion4ik [409]

Answer:

\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)

Step-by-step explanation:

The PDF of X is

\bf f(x)=\lambda e^{-\lambda x}\;(x\geq0)

The PDF of Y is

\bf g(x)=\mu e^{-\mu x}\;(x\geq0)

The means of X and Y are respectively,

\bf \displaystyle\frac{1}{\lambda}\;,\displaystyle\frac{1}{\mu}

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)

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2 years ago
The school cafeteria has eight very large cans of tomato sauce for making pizza.
BlackZzzverrR [31]

Answer:

The Answer is that there is less than 50 Liters of sauce in the 2 cans.

Step-by-step explanation:

Given: 2 Gallons of sauce

How many Liters in 2 gallons?

There are 3.7854 liters per gallon. Multiply to get the total liters in 2 gallons:

2 * 3.7854 = 7.5708 Liters.

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Hope this helps!! Have an Awesome day!!! :-)

8 0
3 years ago
Estimate the product by rounding 3x5,186
masya89 [10]
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2 years ago
Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

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8 0
3 years ago
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