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kaheart [24]
3 years ago
11

The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is

the temperature in °F and x is the month.
x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.
Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61

The average daily maximum temperature in March is of 61 degrees.

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The equation x 2 + 10 x + 25 = 0 has one solution.
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Answer:

Yes

Step-by-step explanation:

X2+10x+25=0

So let's solve

10=5,5

25=5,5

So let's continue

X2+5x+5x+25

Let's factorise

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

So

X+5=0

Substrate 5 from both sides

X=-5(twice)

So the answer is yes

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3 years ago
Evaluate the following trigonometric expression
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-60

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5 0
3 years ago
Xavier works at Art Van Furniture. He is paid on commission. He receives 12% of
Scilla [17]

Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.

<h3>How much furniture did Xavier sell?</h3>

The commission that Xavier earns on his first $1,000 should be removed to be:

= 930 - (12% x 1,000)

= $810

This value of $810 is 18% of the balance of Xavier's sales:

= 810 / 18%
= $4,500

Added to the first $1,000, Xavier's total sales are:

= 4,500 + 1,000

= $5,500

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7 0
1 year ago
Can someone give 2 examples of a logarithmic equation with infinite solutions?
Vika [28.1K]

Assuming what is meant by "infinite solutions" are infinite number of solutions of a logarithmic equation.  

\frac{1}{2}\log x^2 - \log \sqrt{x} - \log \sqrt{x} = 0

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3 0
3 years ago
Mrs. Julien’s and Mrs. Castillejo’s classes are selling cookie dough for a school fundraiser. Customers can buy packages of maca
Oksi-84 [34.3K]

Answer: the cost of one package of macadamia nut chip cookie dough is $1.5

the cost of one package of triple chocolate cookie dough is $2.5

Step-by-step explanation:

Let x represent the cost of one package of macadamia nut chip cookie dough.

Let y represent the cost of one package of triple chocolate cookie dough.

Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that

25x + 30y = 112.5 - - - - - - - - - - - - -1

Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that

8x + 45y = 124.5 - - - - - - - - - - -2

Multiplying equation 1 by 8 and equation 2 by 25, it becomes

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Subtracting, it becomes

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y = - 2212.5/- 885

y = 2.5

Substituting y = 2.5 into equation 1, it becomes

25x + 30 × 2.5 = 112.5

25x + 75 = 112.5

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x = 37.5/25 = 1.5

The method used is the elimination method. It is more convenient to use.

8 0
3 years ago
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