Answer:
45
Step-by-step explanation:
If you treat this as a ratio, it would be 3 vowels to every 7 tiles. If one value in the ratio is multiplied by a number, the other should be multiplied by the same number. So if there are 105 tiles, the 7 in the ratio was multiplied by 15. Multiply the other value, 3, by the same number and you get 45.
Answer:
½ sec²(x) + ln(|cos(x)|) + C
Step-by-step explanation:
∫ tan³(x) dx
∫ tan²(x) tan(x) dx
∫ (sec²(x) − 1) tan(x) dx
∫ (sec²(x) tan(x) − tan(x)) dx
∫ sec²(x) tan(x) dx − ∫ tan(x) dx
For the first integral, if u = sec(x), then du = sec(x) tan(x) dx.
∫ u du = ½ u² + C
Substituting back:
½ sec²(x) + C
For the second integral, tan(x) = sin(x) / cos(x). If u = cos(x), then du = -sin(x) dx.
∫ -du / u = -ln(u) + C
Substituting back:
-ln(|cos(x)|) + C
Therefore, the total integral is:
½ sec²(x) + ln(|cos(x)|) + C
The answer is 1952 because you have to add all of the numbers together
Answer:
The ratio of bananas to total fruit is 13:21
Step-by-step explanation:
Since we already know the amount of apples and pears, we can find the total. 13+8=21, and since we know the number of pears, 13, we can say that the ratio is 13:21.
Answer: 13:21
<span>log (M/N) = log M - log N
so log M - log N = 5
log (P/N) = log P - log N
so log P - log N = 7
If you subtract equation 2 from equation 1, you have log M - log P = -2
That means that log (M/P) = -2 ----> 10^-2 = M/P ---> P = 100M</span>
