Answer:
C = 0.75(n/2)
Step-by-step explanation:
For each pair of signs, $0.75 is needed for the posterboard.
C = 0.75(n/2)
This can be simplified to ...
C = 0.375n . . . . for n an even number
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If posterboard only comes in the size given, then the more technically correct answer is ...
C = 0.75·ceiling(n/2)
Sin (x + y) = sin x cos y + cos x sin y
<span>sin 255 </span>
<span>= sin (210 + 45) </span>
<span>= sin 210 cos 45 + cos 210 sin 45 </span>
<span>= (-1/2)(√(2)/2) + (-√(3)/2)(√(2)/2) </span>
<span>= -√(2)/4 + (-√(6)/4) </span>
<span>= -√(2)/4 - √(6)/4 </span>
<span>= (-√(2) - √(6)) / 4</span>
Answer:
c.7,999,999
Step-by-step explanation:
The phone number is of the form ABC - XXXX
A can be any number from 2 - 9. This means number of possible values for A are 8.
The rest of the places B,C and X can be any digit from 0 - 9. This means there are 10 possible values for each of these.
Since, value to A can be assigned in 8 ways, and to the rest of the 6 positions in 10 ways, according to the fundamental rule of counting, the total number of possible phone numbers that can be formed will be equal to the product of all the individual ways:
Total possible phone numbers = 8 x 10 x 10 x 10 x 10 x 10 x 10
Since, 1 of the given number: 867-5309 is not used, the total possible phone numbers will be:
Total possible phone numbers = ![8 \times 10^{6} - 1 = 7999999](https://tex.z-dn.net/?f=8%20%5Ctimes%2010%5E%7B6%7D%20-%201%20%3D%207999999)
Hence, option C: 7,999,999 give the correct answer.
ANSWER
80%
EXPLANATION
Donovan got 20 questions correct and 5 questions incorrect.
This means that the total number of questions he attempted in the test is the sum of correct and incorrect questions:
Total = 20 + 5
Total = 25
To find the percentage of correct answers, we have to divide the number of correct answers by the total number of questions attempted and multiply by 100 (per cent).
That is:
![\begin{gathered} \frac{20}{25}\cdot\text{ 100 = }\frac{4}{5}\cdot\text{ 100} \\ =\text{ 80\%} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B20%7D%7B25%7D%5Ccdot%5Ctext%7B%20100%20%3D%20%7D%5Cfrac%7B4%7D%7B5%7D%5Ccdot%5Ctext%7B%20100%7D%20%5C%5C%20%3D%5Ctext%7B%2080%5C%25%7D%20%5Cend%7Bgathered%7D)
That is the percentage of correct answers.
Answer:
x>-2
Step-by-step explanation: