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2 years ago

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The graph of which function passes through (0,3) and has an amplitude of 3? f (x) = sine (x) + 3 f (x) = cosine (x) + 3 f (x) =

3 sine (x) f (x) = 3 cosine (x)

2 answers:

Cloud [144]2 years ago

8 0

Answer:

$f(x)=3*cosine(x)$

Step-by-step explanation:

We are looking for a trigonometric function which contains the point (0, 3), and has an amplitude of 3.

We know that for a sine function $f(x)=sin(x)$ , $f(0)= 0$ ; therefore the function we a looking for cannot be a sine function because it is zero at $x=0$ .

However, the cosine function $f(x)=cos(x)$ gives non-zero value at $x=0:$

$f(0)=cos(0)=1$

therefore, a cosine function can be our function.

Now, cosine function with amplitude $a$ has the form

$f(x)=a*cos(x)$

this is because the cosine function is maximum at $x= 0$ and therefore, has the property that

$f(0)=a*cos(0)= a$

in other words it contains the point $(0, a)$ .

The function we are looking for contains the point $(0, 3)$ ; therefore, its amplitude must be 3, or

$f(x)=3cos(x)$

we see that this function satisfies our conditions: $f(x)$ has amplitude of 3, and it passes through the point (0, 3) because $f(0)=3$

qaws [65]2 years ago

8 0

Answer:

The answer is D on EDG

Step-by-step explanation:

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To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much

WITCHER [35]

To solve this problem you must follow the proccedure shown below:

1. Amount of lemonade in pints:

1 <span>quart of water=2 pints
1 pint of lemon
(9 ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

Total in pints=2 pints+1 pint+0.56 pints
Total in pints=3.56 pints

2. </span>Amount of lemonade in<span> cups:

Total in cups=(3.56 pints)(2 cups/1 pint)
Total in cups=7.12 cups

3. </span>Amount of lemonade in<span> ounces:

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Total in ounces=56.96 ounces</span>

4 0

2 years ago

"I have a 35% off coupon that I would like to apply to my purchase today. How much will the coupon save me?" Employee: "It looks

I am Lyosha [343]

Answer:

$43.75

Step-by-step explanation:

So you have: 35% discount

Total without discount: $125.00

Amount discounted: ?

So you have to make 35% into a number that you can multiply with $125. When you have a percentage you move the decimal two times to the front so you have 0.35 then you multiply;

125 x 0.35 = 43.75.

43.75 is the amount discounted, so you only have to pay 81.25. The equation for that would look like;

125 - 43.75 = 81.25

Hope that made sense!

7 0

2 years ago

PLZZ IN NEED HELP!

boyakko [2]

Answer:

$18\pi\ cm^2$

Step-by-step explanation:

step 1

Find the area of complete circle

The area of the circle is given by the formula

$A=\pi r^{2}$

we have

$r=9\ cm$

substitute

$A=\pi (9)^{2}$

$A=81\pi\ cm^2$

step 2

Find the area of the shaded region

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of the shaded region if the central angle is equal to 80 degrees

$\frac{81\pi}{360^o}=\frac{x}{80^o}\\\\x=81\pi(80)/360\\\\x= 18\pi\ cm^2$

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2 years ago

Order the numbers from smallest to largest: 1.448, 2 , 14 10 , and 1.22, A) 14 10 , 2 , 1.22, 1.448 B) 14 10 , 1.22, 1.448, 2 C)

LekaFEV [45]

Answer:

1.448 - 1.22 - 2 - 1,410

Step-by-step explanation:

smallest ------ Largest

4 0

2 years ago

Read 2 more answers

A survey on healthy choices was given to gym members at Work It Out. The results

irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

Medication Not Medication Total

Drank shakes 27 63 90

Doesn't Drank shakes 1 9 10

Total 28 72 100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: $\frac{72}{100}=0.72$

Hence, the correct option is 4) 0.72.

5 0

2 years ago