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Ahat [919]
3 years ago
7

Simplify the radical expression by rationalizing the denominator 4/√21

Mathematics
2 answers:
Tcecarenko [31]3 years ago
4 0

\frac{4}{\sqrt{21}} =\frac{4\sqrt{21}}{\sqrt{21}\sqrt{21}} =\frac{4\sqrt{21}}{21}

Lynna [10]3 years ago
3 0

I think

\dfrac{4}{\sqrt{21}}

is about as simple as this is going to get. For some reason teachers like the radicals in the numerator, so we multiply top and bottom by \sqrt{21} and get

\dfrac{4}{\sqrt{21}} \times \dfrac{\sqrt{21}}{\sqrt{21}} = \dfrac{4\sqrt{21}}{21}

Answer: \dfrac{4\sqrt{21}}{21}

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Find the inverse of the function y = 2x^2 + 2.
kupik [55]

Answer:

its the last one.

Step-by-step explanation:

easy way to do inverse functions:

write out equation :

y = 2x^{2} + 2

Switch the x and y:

x = 2y^{2} + 2

Solve for y :

x = 2y^{2} + 2

subtract 2 both sides

x - 2 = 2y^{2}

Divide both sides by 2

\frac{x}{2} - \frac{2}{2} = y^{2}

reduce fraction and square root both sides

7 0
3 years ago
In a study of the population density of bullfrogs, 25 are captured and marked in the first sampling. Five days later, 30 frogs a
mojhsa [17]

Answer:

75

Step-by-step explanation:

Let x represent the number of bullfrogs in the population.

We have been given that in a study of the population density of bullfrogs, 25 are captured and marked in the first sampling. Five days later, 30 frogs are captured, 10 of which have marks.

We will use proportion to solve our given problem as:

\frac{\text{Number of total bullfrogs}}{\text{Number of marked bullfrogs}}=\frac{30}{10}

\frac{x}{25}=\frac{30}{10}

\frac{x}{25}\cdot 25=\frac{30}{10}\cdot 25

x=3\cdot 25

x=75

Therefore, the estimated number of bullfrogs in the population would be 75.

8 0
3 years ago
You invest $1,000 in an account with 6 % interest, compounded annually. Assume you do not touch the money or add money other tha
IRISSAK [1]

Answer:

A) 1790.85

Step-by-step explanation:

Hi there!

In order to solve this problem, you’ll need to use the compound interest formula x = p(1 + \frac{r}{n} )^n^t

p will be your principle, or starting amount, which is 1,000.

r will be your percentage, which is 0.06.

n will be the amount of times interest is compounded, since this question says compounded anually, your compound will be 1.

t is the time in years it is compounded, which is 10.

When the numbers are plugged in, we get x = 1,000(1 + \frac{0.06}{1})^1^0

When we solve for this, we get 1790.85.

Hope this helps! :)

5 0
3 years ago
Find lim h to 0 f(1 + h) - f(1) if f(x) = x^2 a. 5 c. 1 b. 4 d. 2
Harman [31]

Answer:

you ouldw get hi,m to 1tdh73n,(6wh+2ufd) 2/56

Step-by-step explanation:

4 0
3 years ago
The Eiffel Tower in Paris, France is 1063 feet tall. If you took an elevator 3/4 the way up the tower, how far from the ground w
icang [17]

Answer: 797 feet 3 inches

Step-by-step explanation:

\frac{3}{4} *1063=\frac{3189}{4} =797.25

6 0
2 years ago
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