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max2010maxim [7]
3 years ago
8

The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldes

t month in Beijing is 18°F. The function t = 27 cosine (pi/6(m-6)) + 45, where m represents the number of months after January, models the temperature throughout the year in Beijing.
What is the first month in the year when the temperature reaches 55°F?
A. March
B. April
C. July
D. September
Mathematics
2 answers:
gladu [14]3 years ago
4 0

Answer:

It's April

Step-by-step explanation:

gizmo_the_mogwai [7]3 years ago
3 0
D. September is the year
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If a straight angel is bisected, what type of angels are the resulting angels
NeTakaya
A straight angle is 180 degrees. if you bisect it (cut it in half), you'll end up with two 90 degree angles, which are called right angles.
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3 years ago
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A line passes through the points (3,5) and (2,0) what is the slope of the line?
Veronika [31]

Answer:

5

Step-by-step explanation:

slope = (difference in y)/(difference in x)

subtract the y-coordinates: 5 - 0 = 5

subtract the x-coordinates in the same order: 3 - 2 = 1

Divide the difference in y by the difference in x.

slope = 5/1 = 5

4 0
3 years ago
g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol
iragen [17]

Step 1: Find the slope:

    m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} =  \dfrac{-9}{6}= -\dfrac{3}{2}

This gives you y=-\dfrac{3}{2}x+b, but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    \begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}

Now take that b-value and plug in into the slope-intercept form:

     y=-\dfrac{3}{2}x+4

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0
3 years ago
The variance of a stock's returns can be calculated as the:
Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}

where, \overline{x} is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0
3 years ago
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