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3 years ago

The Square Root of a whole number is Always, Sometimes or Never a rational

Mathematics

2 answers:

Igoryamba3 years ago

4 0

The square root of a whole number is rational Sometimes :)

blondinia [14]3 years ago

3 0

The answer is <u>Sometimes</u>

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The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the expe

Ostrovityanka [42]

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

$Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355$

Number of algae in 7 days = 70.355

4 0

3 years ago

A candy maker had a piece of taffy that was 53 inches long. If he chopped it into 6 equal length pieces, how long would each pie

Anna71 [15]

Answer:

the answer is 8.83 inches per piece, the 2 whole numbers it lies between are 8 and 9

Step-by-step explanation:

53/6= 8.83

6 0

2 years ago

Read 2 more answers

Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati

alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance : Tanks

49 : 7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance : Tanks

$\frac{49}{7}$ : $\frac{7}{7}$

7 : 1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.

8 0

2 years ago

Write an equation in standard form of the hyperbola described.

marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

$\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill$

$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$

5 0

2 years ago

what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?

marshall27 [118]

Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>

8 0

3 years ago