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kramer
4 years ago
9

Y = e^(lnx)² Find the derivative

Mathematics
1 answer:
Nitella [24]4 years ago
8 0
\large {d \over dx} \;\;e^{\ln^2 (x)} =e^{\ln^2 (x)} \cdot {d \over dx}\;\;\ln^2 (x)
\\
\\\large =e^{\ln^2 (x)} \cdot 2 \ln(x)\; {d \over dx} \;\;\ln(x)=e^{\ln^2 (x)} \cdot {2 \ln(x)\over x}
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There are 108 pigeons that need pigeon coops. Each coop can hold up to 7 pigeons.
guajiro [1.7K]

Answer:

15 coops

Step-by-step explanation:

4 0
3 years ago
Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
3 years ago
If a tree in a 1 in.: 5ft scale drawing is 12 inches tall, how tall is the actual tree?
aleksley [76]
60ft
1:5 =12:?
12*5=
60
Answer is
60ft tall
3 0
3 years ago
Kara was making decorations for a school dance. She has a small figure to use for a pattern, but needs the actual
Sedbober [7]

Answer:

k = 5

Step-by-step explanation:

When a certain number n is multiplied by a scale factor k, the  final number is given by

n'=kn

and the final number will be:

- Larger than the original number if |n'|>|n|

- Smaller than the original number if |n'|

In this problem, the number n represents the size of the decoration.

If we apply the 4 scale factors given, we have:

- If k=5, then n'=5n: this means that the final decoration is larger than the original decoration --> this is the correct option

- If k=1, then n'=n: so the final decoration has same size as the original decoration

- If k=1/5, then n'=\frac{1}{5}n: so the final decoration is smaller than the original decoration

- If k=-1/5, then n'=-\frac{1}{5}n, so the final decoration is smaller and inverted

8 0
3 years ago
Read 2 more answers
BUILDING PLANS In a scale drawing of a school's floor plan, 6 inches represents 100 feet If the
posledela

Answer:

10.5

Step-by-step explanation:

You just divide 175/100, and then multiply it by 6 to get 10.5

8 0
3 years ago
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