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Vitek1552 [10]
1 year ago
6

Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents functio

n. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.
Mathematics
1 answer:
balandron [24]1 year ago
7 0

The functions and their descriptions are:

  • Polynomial: y = \frac{5x^3}{8} and y = 5x^3 + 8
  • Logarithm: y = 6 + 0.25\ln(x)
  • Exponential y = \frac{18}{1 + 6e^{-0.25x}}

<h3>How to describe the functions?</h3>

The functions are given as:

y = \frac{5x^3}{8}

y = 6 + 0.25\ln(x)

y = \frac{18}{1 + 6e^{-0.25x}}

y = 5x^3 + 8

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

Read more about functions at:

brainly.com/question/4025726

#SPJ1

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Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
Find the value of the expression 2x²-5x+6
Vedmedyk [2.9K]
33x I think sorry if I am wrong
7 0
3 years ago
When two dice are rolled, what is the probability the two numbers will have a sum of 5?
ira [324]

When two dice are rolled, then possible outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total possible outcomes = 36

In that, we count the ordered pairs that give us sum 5

(1,4) (2,3) (3,2) and (4,1) = 4 outcomes

Probability = (number of times the event occurs)/ (total number of outcomes)

P( sum of 5) = \frac{4}{36} = \frac{1}{9}

7 0
3 years ago
Convert 7,200 in scientific notation​
Nitella [24]

Answer:

7.2*10^3.

7,200 in scientific notation, is 7.2*10^3

8 0
2 years ago
Which system of linear inequalities is represented by the graph?
masha68 [24]
For the red line, we have:
 
gradient (m) = 1/3
y-intercept = 3

Equation of straight line is given by y=mx+c, where m is the gradient and c is where the line intercept the y-axis

So we have, y= \frac{1}{3}x+3

The shaded part is above the line, hence the first inequality is
y \geq \frac{1}{3}x+3

The black line, we have
gradient, (m) = 3
y-intercept = -2

y=mx+c
y=3x-2, rearranging gives
3x-y=2

The shaded region is to the right of the line, hence the inequality is
3x-y\ \textgreater \ 2

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>\geq 



6 0
3 years ago
Read 2 more answers
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