Answer:
Last Choice / D
Step-by-step explanation:
you want to isolate v!
E = 1/2 m v^2
multiply both sides by 2
2E = mv^2
divide both sides by m
2E/m = v^2
square root both sides
v = ±
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Hey there :)
Writing in scientific notation means a should be
0 ≤ a < 10
Therefore, 0.000309 will be written as
3.09 x 10ⁿ
3 is the 4th decimal place value
so n = - 4
3.04 x 10⁻⁴
Answer:
We should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.
Step-by-step explanation:
Given;
Number of iris bouquets sold yesterday = 6
Number of other bouquets sold yesterday = 15
We need to find number of iris bouquets sold out of 35 bouquets sold.
Solution:
First we will find the percent of iris bouquet sold yesterday.
Now we know that;
Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.
framing in equation form we get;
Total bouquet sold yesterday = 
Now we can say that;
Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100
framing in equation form we get;
Percent of iris bouquet sold = 
Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.
number of iris bouquet = 
Hence we should expect <u>10 iris bouquet</u> will be sold out of next 35 bouquet sold.
This is question of geometric sequence, equation of growth for this matter. The explicit formula for geometric sequence is given by:
a(n) = a(0)r^(n-1)
where;
a(n) = population after time "n"
a(0) = Initial population = 65
n = time = 5 weeks
r = common ratio = (100+30)% = 1.3
Substituting, beetles after 5 weeks will be;
a(5) = 65*1.3^(5-1) = 185.65 ≈ 186 beetles
Answer:

Step-by-step explanation:
we want to figure out the point "M" which is on a segment with endpoints X(1,-2) and Y(10,3) partitions the segment in a 4:1 ratio.
to find so, we can consider <u>section</u><u> </u><u>formula</u><u> </u>. we know that <em>Section formula is used to find the ratio in which a line segment is divided by a point internally or </em><em>externally </em> the ratio is written as m:n
however in this case the following formula can be used used:

step-1: assign variables
assign variables:
step-2: substitute

simplify multiplication:

simplify addition:

simplify division:

hence,
