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Irina-Kira [14]
3 years ago
13

What is 2(34+45)+6/5

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0
159.2 or 159 1/5 If you need it as a fraction
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What is 2Log5(5x^3)+1/3log5(x^2+6 written as a single logarithm?
AveGali [126]

An important rule of logs is a*log b = log b^a.

Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or

(log to the base 5 of ) (25x^6).

Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).

Here, the addition in the middle of the given expression indicates multiplication:

2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.

Here we've expressed the given log quantity as a single log.

5 0
3 years ago
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Jackson ordered 3 miles of fencing to make a pasture for his goats. What are two other equivalent measures you can use too descr
dedylja [7]
Add 3 and 2 together and you will get 5 that's the answer
7 0
3 years ago
The median of a continuous random variable having distribution function F is that value m such that F(m) = 1/2 . That is, a rand
neonofarm [45]

Answer:

Step-by-step explanation:

To find median and mode for

a) In a uniform distribution median would be

(a+b)/2 and mode = any value

b) X is N

we know that in a normal bell shaped curve, mean = median = mode

Hence mode = median = \mu

c) Exponential with parameter lambda

Median = \frac{ln2}{\lambda }

Mode =0

7 0
3 years ago
Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6
topjm [15]

9514 1404 393

Answer:

  • y-intercept: (0, -6)
  • x-intercepts: (-3, 0), (-1, 0), (1, 0)

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

4 0
3 years ago
If a rectangular prism has a length width and height of 3/8 cm 5/8 cm and 7/8 cm then the volume of the prism is ........ cubic
pychu [463]

Answer:

105/512

Step-by-step explanation:

To find the volume of a rectangular prism, you do  length x width x height. The length is 3/8, the width is 5/8, and the height.

3 0
3 years ago
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