What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?​

Answers

Answer 1
Answer:

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)


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Solve the equation. Use words 2(x+2)+58=8x-6(x-5)

Answers

Answer:

2(x+2)+58=8x-6(x-5)\n\mathrm{or,\ }2x+4+58=8x-6x+30\n\mathrm{or,\ }2x+62=2x+30\n\mathrm{or,\ }62=30,\ \mathrm{which\ is\ not\ possible.}\n\mathrm{So\ the\ given\ equation\ has\ no\ solution.}

If the population of a particular country is growing at 1.6% compounded continuously, how long will it take the population to triple? The population will triple in ______ years if it is growing at 1.6% compounded continuously. (Round up to the nearest year.)

Answers

e ^(0.016t)=3 / * log _(e) \n log _(e) e^(0.016t)=log _(e) 3 \n 0.016t=log _(e) 3
0.016 t = 1.0986
t = 1.0986 : 0.016
t = 68.66 ≈ 69
The population will triple in 69years if it is growing at 1.6 % compounded continuously.

What is the aswer ??????​

Answers

Answer:

The correct statement is Aprimenumberarenumberswhichhaveonlytwofactor.

Explanation:

Hope it helps you..

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Answer:

A prime number is one which can be divided only by itself

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A marine biologist collects data on the length of rainbow trout on a protected western river. She finds that the length of adult trout in her study are approximately normally distributed with mean 14 inches. She also reports that the minimum length was 10 inches and the maximum was 18 inches. Based on this information what is the most likely value of the standard deviation?

Answers

Answer:

The standard deviation of the data is 2 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14

We are given that the distribution of  length of adult trout is a bell shaped distribution that is a normal distribution.

Minimum length = 10 inches

Maximum length = 18 inches

Range

= Maximum length - Minimum length = 18 - 10 = 8

Thumb Rule of Standard Deviation:

  • The Range Rule of Thumb says that the range is about four times the standard deviation.
  • \text{Range} = 4* \text{Standard Deviation}
  • The standard deviation tells us how data is clustered around the mean.

Thus, by thumb rule, we get,

\text{Standard Deviation} = \displaystyle\frac{\text{Range}}{4} = (8)/(4) = 2

Thus, the standard deviation of the data is 2 inches.

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?

Answers

Answer:

The length of the diameter of the circle is 10 unit.

Step-by-step explanation:

Given : The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4).

To find : How long is the diameter of the circle?

Solution :

The center of a circle is at the origin i.e. C=(x_1,y_1)=(0,0)

An endpoint of a diameter of the circle is at D=(x_2,y_2)=(-3,-4)

The distance between the center and the end point of the diameter is the radius of the circle.

So, we find the radius with the help of distance formula,

d=√((x_2-x_1)^2+(y_2-y_1)^2)

Substitute the value in the formula,

r=√((-3-0)^2+(-4-0)^2)

r=√(9+16)

r=√(25)

r=5

Diameter is twice of radius d=5* 2=10

Therefore, The length of the diameter of the circle is 10 unit.

Use the distance formula
√((-4-4)^2+(-3-3)^2) = √(100)=10

If f(x)=2x-5, find x when f(x)=13

this is function notation

Answers

f(x)=2x-5;\ f(x)=13\n\Downarrow\n2x-5=13\n2x-5+5=13+5\n2x=18\n2x:2=18:2\n\underline{\underline{x=9}}
f(x)=2x-5\n \n f(x)=13 \rightarrow 2x-5=13\n \n 2x=13+5\n \n 2x=18\n \n x=(18)/(2)\n \n \boxed{x=9}