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2 years ago

Please helppp with this

Mathematics

1 answer:

nlexa [21]2 years ago

4 0

Answer:

a) f(4) = 2(4) - 5 = 3

Step-by-step explanation:

First, we look at the function, and we see different domain restrictions.

We are given the value of 4. The first equation has a domain restriction which includes 4 as it has the line below the greater than sign.

So, the first equation must work.

So our answer is A.

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Express (i) 1.4191919.... (ii) 0. 001 in the form p/q, where p and q are integers and q ≠ 0.

Virty [35]

Answer:

so confusing.. but I think I have an idea.. p and q are integers equal to 0

Step-by-step explanation:

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3 years ago

Ocean tides can be modeled by a sinusoidal function. Suppose that there is a low and high tide every 12 hours, and that high tid

USPshnik [31]

Answer:

(a) $y=5sin(\frac{\pi}{6}(x+2))+5$

(b) 7.5ft above the low tide.

Step-by-step explanation:

(a) To find the function that computes the height of the tide, you need to select the form of the sinusoidal function. For example, use the form:

$y=Asin(B(x-C))+D$

Where A is the amplitude, B the frequency, C the phase shift and D the vertical shift.

The amplitude is half the distance between the highest and the lowest tide:

$A=10/2=5ft$

The frequency is related to the period T by:

$B=\frac{2\pi}{T}$

The period is 12 hours, then

$B=\frac{2\pi}{12}=\frac{\pi}{6}$

The high tide is at 1:00 a.m. and 1:00 p.m. , this is the moment when $sin(B(x-C))=1$ , if $sin(\frac{\pi}{2})=1$ then $B(x-C)$ must be equal to $\frac{\pi}{2}$ when $x=1$ :

$B(x-C)=\frac{\pi}{2}\\\frac{\pi}{6}(1-C)=\frac{\pi}{2}\\\frac{1}{6}(1-C)=\frac{1}{2}\\(1-C)=\frac{6}{2}\\-C=3-1\\C=-2$

The vertical shift is the sum of the lowest value, the height of the low tide ( $lt$ ) and the amplitude:

$D=5+lt$

The function is:

$y=5sin(\frac{\pi}{6} (x+2))+5+lt$

Because the function must be the height above low tide height, subtract this heigh from the function:

$y=5sin(\frac{\pi}{6} (x+2))+5+lt-lt$

$y=5sin(\frac{\pi}{6} (x+2))+5$

(b) Use x=11 in the function

$y=5sin(\frac{\pi}{6} (11+2))+5=2.5+5=7.5ft$ above the low tide.

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3 years ago

You receive 15% of a profit from a car wash how many money do you receive from a profit $600?

PilotLPTM [1.2K]

EXPLANATION

If receive 15% of a profit, and considering a total profit of $600, the amount is given by the expression:

Profit = 15% of 600

We must turn 15% into a decimal form by dividing it by 100 as follows:

15/100 = 0.15

So, the computed value is:

Profit = 0.15 x 600 = $90

The answer is $90.

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1 year ago

Which statements about opposites are true?

defon

1. True
2. True
3. False
4. False

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3 years ago

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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 min : 28 min

sweet-ann [11.9K]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ 16 min : 28 min simplified to a fraction is $\frac{4}{7}$

16 and 28 can both be divided by 24:

16 ÷ 4 = 4

28 ÷ 4 = 7

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~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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4 years ago

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