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alina1380 [7]
2 years ago
11

What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a h

orizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction
Mathematics
2 answers:
Juliette [100K]2 years ago
7 0

Answer:

The answer is C, above was correct.

Step-by-step explanation: edge 2021

Katen [24]2 years ago
3 0

Answer:

C: y = 6 \sin (8(x-\frac{\pi}{2} ))

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

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Explain in sentences how you can add or subtract two fractions with common denominators?
Lemur [1.5K]
If two fractions have the same denominators, then just simply add up the numerators together and keep the denominator.

Examples:

\frac{4}{10} +  \frac{5}{10} =  \frac{9}{10}

\frac{10}{12} - \frac{2}{12} = \frac{8}{12}
8 0
2 years ago
The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
Simplify 8 over negative 3 divided by negative 4 over 9 . (5 points) <br> -8<br> -6<br> 6<br> 8
denpristay [2]

Answer:

6

Step-by-step explanation:

(8/3) / (-4/9)

when dividing fractions you use the acronym k.c.f (keep change flip)

keep the first fraction

change the operation (divide to multiply)

flip the other fraction

(8/-3) x (9/4)

after re-writing your expression, you want to solve

do this by multiplying both numerators by each other and same with the denominators

(-8x9) / (3x-4)

then you get a new fraction,

-72/-12

simplify,

-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)

3 0
2 years ago
The Ridgeport school district collected data about class size in the district. The table shows the class for sizes five randomly
vladimir1956 [14]

Answer:

A

Step-by-step explanation:

the mean is higher than kindergartens mean which shows its larger and the deviation is lower which shows less variation

5 0
2 years ago
A farmer owns 24 acres of land. He plans to use 6 acres for an entrance into the farm and divide the remaining land into 1/3 acr
Zolol [24]

Answer:

54 one-third acre lots

Step-by-step explanation:

24 - 6 = 18

18 ÷ 1/3  =  18 × 3 = 54

5 0
3 years ago
Read 2 more answers
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