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NeTakaya
3 years ago
9

How to write 0.326 in two other forms?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0
<span><u>Any number can be represented in several forms including:</u>
1- word form
2- decimal form
3- scientific notation form
4- fraction form

The given number is 0.326 which is in the <u>decimal form</u>.

<u>We can represent it in fraction form as follows:</u>
We have three digits after the decimal point. Therefore, the decimal form would be </span>\frac{326}{1000}<span>
We can simplify this fraction to give </span>\frac{163}{500}
<span> which is the simplest form

<u>We can represent it in scientific notation form as follows:</u>
We know that 0.326 is a whole number (326) divided by 1000.
Dividing by 10</span>³<span> (one thousands) is the same as multiplying by 10</span>⁻³<span>
Therefore, the number in scientific notation can be written as:
326 * 10</span>⁻³<span>

<u>Finally, we can represent the number in word form as follows:</u>
Representing 10</span>⁻³<span> numbers means that we are representing thousandths numbers
The number given is 0.326 which can be represented as three hundred and twenty six thousandths

Hope this helps :)</span>
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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

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4 years ago
Jerry rolled a fair number cube 24 times. Which of the following is the most reasonable outcome ?
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Step-by-step explanation:

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11.<br>The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?​
grigory [225]

Answer:

The range of the function is:

Range R = {14, 17, 20}

Step-by-step explanation:

Given the function

f(x) = 3x + 2

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}

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