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Greeley [361]
2 years ago
7

Simplify the given equation in the attached picture:\sqrt{29-\sqrt{5}}

Mathematics
1 answer:
Vilka [71]2 years ago
3 0

Answer: 2√5 - 3

Step-by-step explanation:

$$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$$

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n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,
Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

A = Pe^{rt}

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

A=2400 e^{0.0168\times 20}

=2400 e^{0.336}

= 3358.4136

\approx 3358

6 0
3 years ago
Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number
Fiesta28 [93]

Answer:

Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.

Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.

Step-by-step explanation:

a. The number of textbook authors now sitting at a computer :

A discrete random variable

Number of authors will be an integer value.

b. The height of a randomly selected giraffe ;

Continous random variable

Possible height value : h > 0

c. The responce to the survey question "Did you smoke in the last week"

It is not a random Variable

The response isn't numeric

d. The amount of rain in City B during April

It is a continous random variable

Possible values ; amount of rain > 0

e. The time it takes to fly from City A to City B

It is a continous random variable

Time could take up seconds value ;

Possible values : t > 0

f. The number of light bulbs that burn out in the text week in a room with 17 bulbs

It is a discrete random variable

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6 0
3 years ago
Last week, a skate shop originally sold a skateboard for $120. Today, there is a sale and the same skateboard costs $96. What is
Alex Ar [27]
80%. That is the answer
8 0
3 years ago
A triangle with sides lengths of 17, 21, and 10. is this a right triangle?
USPshnik [31]
Use Pythagorean thrm
17^2+10^2=21^2
289+100=441
389≠441
This is not a right triangle
3 0
3 years ago
Solve x/-3 = -15.<br><br> A.) -45<br> B.) 5<br> C.) -5<br> D.) 45<br> this is multiple choice
Fiesta28 [93]

Answer:

x= 45

Step-by-step explanation:

x= -15*-3

x= 45

6 0
3 years ago
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