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3 years ago

Which notation shows that P is the function of x?

Mathematics

2 answers:

Umnica [9.8K]3 years ago

3 0

Option a
P(x)
shows that P is the function of x

Veseljchak [2.6K]3 years ago

3 0

Answer A

Think of a "function" as modifying our variable (x).

we place our variable "into" the function to change it.

this can help you remember the notation because we place our variable (x) "into" the parentheses, just like we place the variable "into" the function

I hope this help!:)

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According to your graphing calculator, what is the approximate solution to the trigonometric inequality cot(x)> -7/8 over the

marta [7]

Answer:

Option C

Step-by-step explanation:

See attached the graphical solution

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3 years ago

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Mazyrski [523]

Answer:

Step-by-step explanation:

The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.

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3 years ago

Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay

Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

$\frac{26,000-7,352.24}{12}$

Now all we have to do is solve!

$\frac{26,000-7,352.24}{12}$

Subtract.

$\frac{18,647.76}{12}$

Divide.

$1,553.98$

Answer:

Latoya will get paid $1,553.98 with each paycheck.

7 0

2 years ago

50% of a certain number is 39. What is the number?

Allushta [10]

Let that certain number be 'n'

50% (n) = 39

50% ⇒ 0.5

0.5 (n) = 39

Divide both sides by 0.5

0.5n = 39
/0.5 /0.5

n = 78.

So that certain number is actually 78! :)

CROSS CHECK:

50% of 78

0.5 × 78

= 39

Hope this helps! :)

8 0

3 years ago

Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body

PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

(a)

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042$

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)ⁿ

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

$A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112$

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0

3 years ago