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Rom4ik [11]
2 years ago
15

What does m^5 equal when m=2/3

Mathematics
1 answer:
g100num [7]2 years ago
7 0

Answer:

0.1316872428

Step-by-step explanation:

(2/3)^5=0.1316872428

if you want it as a fraction it will be 32/243

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The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0
3 years ago
Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
Vitek1552 [10]

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

\frac{(21 - 25)2 + ... + (29 - 25)2}{5}

⇒ \frac{38}{5}

⇒ 7.6

σ =  \sqrt{7.6}

⇒   2.756809750418

⇒ or 2.76

3 0
2 years ago
Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable
Slav-nsk [51]

Answer:

a) Discrete Variable

b) Continuous Variable

Step-by-step explanation:

We are given the following in the question:

Discrete and Continuous:

  • Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
  • Discrete variables are usually counted than measured.
  • Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
  • Continuous variables are usually measured than counted.

​(a) The number of free dash throw attempts before the first shot is made. ​

Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.

(b) The distance a baseball travels in the air after being hit.

The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.

4 0
3 years ago
Show me STEP by STEP how to convert 5,807 Km to meters.
jonny [76]

for converting km to meters

1 km = 1000 m

5807 km = 1000 × 5807 m

= 5807000m ...

for converting cups to gallons

1 cup = 0.0625 gallons

2144 cups = 0.0625 × 2144 gallons

= 134 gallons

3 0
3 years ago
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x fa
Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

6 0
1 year ago
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