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wel
3 years ago
5

At which x-value does the cosine function attain a maximum value?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

It can help to keep a graph of the cosine function in mind. It starts off at its maximum value at x = 0.

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The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the f
Thepotemich [5.8K]

Answer:

the average of this new list of numbers is 94

Step-by-step explanation:

Hello!

To answer this question we will assign a letter to each number for the first list and the second list of numbers, remembering that the last number of the first list is 80 and the last number of the second list is 96

for the first list

\frac{a+b+c+80}{4} =90

for the new list

\frac{a+b+c+96}{4} =X

To solve this problem consider the following

1.X is the average value of the second list

2. We will assign a Y value to the sum of the numbers a, b, c.

a + b + c = Y to create two new equations

for the first list

\frac{y+80}{4} =90

solving  for Y

Y=(90)(4)-80=280

Y=280=a+b+c

for the second list

\frac{y+96}{4} =X\\

\frac{280+96}{4} =X\\x=94

the average of this new list of numbers is 94

4 0
3 years ago
Read 2 more answers
Marcus has earned 353 out of 400 points (88% or B+) in Math class. He needs 90% to earn an A-. There is one test left worth 100
aleksklad [387]

Answer:

97

Step-by-step explanation:

Marcus is aiming for an A- (90-94 percent). The question states that there is another test awaiting that is worth 100 points. In order to find the answer to the question, you need to:

1.) Add 400 + 100, to show how many points there are in total.

2.) Use the answer choices and add it to 353.

88 + 353 = 441

93 + 353 = 446

97 + 353 = 450

3.) Find the percentage of the sums.

441/500 = 88%

446/500 = 89%

450/500 = 90%

Since Marcus is aiming for an A-, we can conclude that obtaining 97 points will help Marcus achieve an A-.

8 0
2 years ago
Read 2 more answers
Holly bought a sweater on sale for 20% off the original price. If she saved $40, what was the original price?
spin [16.1K]
40 is 20% of 160, so if she saved 40$ and it was 20% off then the original price was 160$!!!
6 0
3 years ago
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
Please help 6x + 32 = -2x
netineya [11]

Answer: the answer is x=-4.

Step-by-step explanation:

5 0
1 year ago
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