Hi there!
We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:
Now, we know through the distributive property that we can distribute the 
to everything in the parenthesis. Once this is done, we get:
Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together 
. This then would make our equation:
Giving us for our final answer:
Hope this helps!
Answer:
Step-by-step explanation:
Simple probability question.
The probability that the 2 sweets will not be the same = 1 - probability of same 2 sweets.
There are 3 possible outcomes where the two sweets will be the same. If she had 2 Liquorice or 2 mint or 2 humbug.
P(2 Liquorice) = 12/20 * 11/19
P(2 Mint) = 5/20 *4/19
P(2 Humbug) = 3/20 * 2/19
All of those added together will give you the probability of her getting 2 of the same time of sweet.
You the take that answer and subtract it from 1.
Let's focus on how much silver iodide we have and how much we obtain.
6 liters of a 4% solution constitutes 6(0.04) liters of silver iodide:
0.24 liter. Let x be the number of liters of the 10% solution. The amount of silver iodide in that is 0.10(x).
Adding together these two volumes of silver iodide:
0.24 liter + 0.10x = 0.06(6 + x) liters
Then 0.24 + 0.10x = 0.36 + 0.06x
Simplifying, 0.04x = 0.12. Dividing both sides by 0.04, x = 0.12/0.04 = 3
3 liters of the 10% solution are needed in order to end up with a 6% solution of silver iodide.
Check: 0.04(6) + 0.10(3) = ? 0.06(6+3)
0.54 = ? = 0.06(9)
0.54 = ? = 0.54 Yes. So, our result is correct.
Answer/Step-by-step Explanation:
A. From the scatter plot attached below showing the number of flowers that have bloomed for days in the month of March, we can observe an upward trend which shows a positive correlation , and also, if we are to draw a single line in an attempt to connect the points together on a straight line as much as possible, we'd discover that the points are not far away from the single line. This implies not only a positive correlation coefficient, but also a correlation coefficient that is closer to 1. Hence, we can infer that correlation coefficient of r = 0.98 is accurate because of the aforementioned reasons. The trend denotes a string positive correlation.
B. A scenario that would be a causal relationship for flowers in a garden to bloom is the length of daylight received each day by the flowers. Length of daylight could be a factor influencing flower bloom. Or we can also make a scenario of comparing amount of fertilizer for flower development given to plants in comparison to the number of flowers.
Answer:
y=2
and the
x is 2 the both
r the same
Step-by-step explanation:
hope it helps u
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