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Dahasolnce [82]
2 years ago
5

The average daily high temperature in Seattle is modeled by the function T = –15 cos(πm/6)+ 61, where T is the temperature in °F

, and m is the number of months since the beginning of the year. What is the value of m when the average daily high temperature T is 76°F

Mathematics
1 answer:
Sliva [168]2 years ago
7 0

Answer:

m = 6

Step-by-step explanation:

T = -15cos(\frac{\pi m}{6}) +61

76 = -15cos(\frac{\pi m}{6}) +61

76-61 = -15cos(\frac{\pi m}{6})

15 = -15cos(\frac{\pi m}{6})

\frac{15}{-15}  = cos(\frac{\pi m}{6})

-1  = cos(\frac{\pi m}{6})

cos^{-1}( -1)  = \frac{\pi m}{6}

\pi  = \frac{\pi m}{6}

6\pi  = \pi m

m = 6

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Ratio of boys to girls = 1 : 3

Unknown constant = x

x + 3x = 24

4x = 24

x = 6

No. of girls = 3 x 6 = 18

5 0
3 years ago
12x + 8y = 24 Convert from standard form to slope-intercept form.
irga5000 [103]
Y= —12/8x + 3 is the slope into form because 12x + 8y = 24 minus 12x on both sides . 8y= —12x + 24 divide 8y by 8y and —12x + 24 over 8 you will get y = —12/8x + 3
7 0
3 years ago
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
Which of the following numbers could not be represent a probability
e-lub [12.9K]
[0,1] could not be used to represent a probability.
6 0
3 years ago
Which expression is equivalent to 5^3?
AleksAgata [21]

Answer:

C and D

Step-by-step explanation:

5^3 - 5^0 = 125 - 1 = 124, so it's not A

5^12 / 5^4 = 5^(12-4) = 5^8, so it's not B

5^7 * 5^-4 = 5^(7+(-4)) = 5^3, so it can be C

5^0 * 5^3 = 5^(0+3) = 5^3, so it can be D

5 + 5^2 = 5 + 25 = 30, so it can't be E

3 0
2 years ago
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