Answer:
Step-by-step explanation:
When finding the volume, we multiplied the 3 dimensions with degree of 1, 1 and 3 and got the binominal of degree 5. We summed up the degrees: 1 + 1 + 3 = 5.
- The <u>SUM</u> of the degrees of each factor is the degree of the product.
2* .75 + y = 4
1.5 + y = 4
Subtract 1.5 From Each Side
Y = 2.5 Or 2 1/2
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.
Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑
= 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187
Full question:
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning
Answer and explanation:
We start from known to unknown. We know that Mai scored 5 points and so we work from here.
Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points
Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points
Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points
162 is not a perfect square therefore you have to find the largest perfect square that can go into 162 which would be 81.
