Prime numbers from 1 to 50:
2, 3, 5, 7, 11, 13<span>, 17, 19, 23, 29, 31, </span>37,41<span>, </span>43<span>, </span><span>47</span>
Answer:
f(9)= -72
g(-9)= 225
Step-by-step explanation:
First put the original equation
f(x)=-7x-9
Next plug in the number f(9)
f(9)=-7(9)-9
After multiply -7(9) which gets you -63
f(9)=-63-9
Then subtract -63-9 which gets you -72
f(9)=-72
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First put the original
g(x)=6x3-23x
Next plug in the number g(-9)
g(-9)=6x3-23(-9)
After multiply 6x3 which gives you 18 then multiply -23(-9)
g(-9)=18+207
then add 18+207 which gives you 225
g(-9)=225
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x
The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)
Answer is C. 1:2
Combine like terms for 30c +3d
Because the ratio of acceptance is 9:100, we simply multiply both by 2:
9:100 = 18:100
The chances of her admitting the 18th student is Option B., 100%