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3 years ago

Fx)=SQRT(x+4); Find f(5). PLS HELP ME I need to show work

Mathematics

2 answers:

DIA [1.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x) = √(5 + 4)

f(x) = √(9) = √(3 · 3) = 3

Elena L [17]3 years ago

4 0

Steps to solve:

f(x) = √(x + 4) when x = 5

~Substitute

f(5) = √(5 + 4)

~Add

f(5) = √9

~Simplify

f(5) = 3

Best of Luck!

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If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

8 0

3 years ago

Read 2 more answers

In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population stand

Natalka [10]

Answer:

(29.14 ; 30.06)

Step-by-step explanation:

Given that'

Sample size (n) = 57

Mean (m) = 29.6

Population standard deviation (σ) = 2.7

Confidence interval = 80%

= (1 - 0.8) / 2 = 0.1

Mean ± z * σ/√n

Using the Z probability calculator : Z0. 1 = 1.28

Hence,

29.6 ± 1.28 * (2.7 / √57)

29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)

29.142241664 ; 30.057758336

(29.14 ; 30.06)

8 0

3 years ago

Which of these sets of ordered pairs would define a line with a positive slope?

Serhud [2]

The correct answer is D

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3 years ago

A copy machine makes 24 copies per minute. how many copies does it make in 5 minutes and 30 seconds

enot [183]

In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
   = 300 + 30
   = 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
   = 4 * 33
   = 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.

6 0

3 years ago

Read 2 more answers

There is a bag filled with 5 blue and 6 red marbles.

Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

$\displaystyle P\left(\text{Red}\right)=\frac{6}{11}$

Since the marble is replaced, the probability of getting another red is: $\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}$

The probability of getting a blue marble first is:

$\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}$

And the probability of getting another blue is:

$\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}$

So, the probability of getting two of the same color is:

$\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%$

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0

2 years ago