Answer:
Step-by-step explanation:
Sting lights outlining the stage means that they will go around the perimeter, so we will need to find that. It gives us the area and the fact that the dimensions, length and width, will be whole numbers.
How do you find the area of a rectangle? you multiply length by width. So we need to find two numbers that multiply together to make 42. There re multiple pairs of numbers that do that, but the question is asking for what the least number of yards of string lights, so we need to find the values that make the perimeter the smallest.
Of course the perimeter is adding up all the sides. Since there are two lengths and two widths we can solve that like this
length + length + width + width
2* length + 2*width.
Now we just have to check all the options. What numbers multiply together to make 42?
2 and 21
6 and 7
14 and 3
Now we just have to check which gives the smallest perimeter
2*2 + 2*21 = 4 + 42 = 46
6*2 + 7*2 = 12 + 14 = 36
14*2 + 3*2 = 28 + 6 = 34
So the smallest perimeter is the second one, where one of the measurements is 6 yards and the other measurement is 7 yards. There's your answer.
The answer is B) The initial number of bacteria is 57, and the growth rate is 31% per hour.
The expression shown is an <em>exponential expression</em>. An exponential expression usually takes the form , as this one does. A represents the <em>initial value</em>, in this case-the initial number of bacteria. B represents the <em>growth rate</em>. When it is an increasing growth rate, it will begin with 1, because it will have everything it had before, plus the percent increase, the decimal portion. In this case, a=57, and b=0.31.
Hope this makes sense!
X = 3/2
Y = -3
-6x-5(3-4x)=6
Y=3-4(3/2)
Answer:
A and D
Step-by-step explanation:
By finding the roots of all the equations, we see that options A and D are the only ones that require an imaginary number in order to solve