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2 months ago

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2 months ago

15.375/15.125 x 100 =~98.4

The ~% is 98.4%

Error = ~2.6%

Part B

Be a near amount. Can be

The ~% is 98.4%

Error = ~2.6%

Part B

Be a near amount. Can be

Question

a man made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 15%. Predict the fish population 5 years after the lake is stocked

Solution 1

I got 2,500 left after 5 years.

10,000*15% = 1,500 or you could do 10,000*.15 = 1,500

That is a loss of 1,500 fish per year.

If you want to think of this as a proportion then you would do

Year/fish lost

1/1,500 = 5/x

X=5*1,500

X=7,500

The population of the fish after 5 years equals

10,000-7,500 = 2,500

So your answer is 2,500 fish are left

10,000*15% = 1,500 or you could do 10,000*.15 = 1,500

That is a loss of 1,500 fish per year.

If you want to think of this as a proportion then you would do

Year/fish lost

1/1,500 = 5/x

X=5*1,500

X=7,500

The population of the fish after 5 years equals

10,000-7,500 = 2,500

So your answer is 2,500 fish are left

Question

How many integers exist for the value of n such that nÂ²-19n+91 is perfect square?

Solution 1

One because then it would be (ax+b)^2=cx^2+dx+e if cx^2+dx+e is a perfect square

Question

according to the U.S. census bureau, the population of Hawaii in 2010 was 1,360,301 and it was growing at an annual rate of 1.2%. Predict the population in Hawaii in 2032

Solution 1

By applying the formula for the compound interest,Â , because of the same logic we could calculate population in 2032. According to the formula, we can write that: 1,360,301 * (1+0.012) ^Â Â = 1,768,505.Â

Question

Angles a and b are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of b if b < Î±. sin(7x âˆ’ 15) = cos(3x + 5)

Solution 1

In order for the sine and cosine to be equal, the angles must be complementary

sin (7x-15) = cos (3x+5)

7x-15+3x+5 =90 (because sum of both angles a and b must be 90)

10x -10 = 90

10x = 100

x =10

One angle = 7x-15= 7*10-15 = 70-15 =55

Other angle = 3x +5 = 3*10+5 = 30+5 = 35

Since B is less than A, A = 55 degrees and B = 35 degrees

Since we need B, **B = 35 degrees**

Solution 2

The value of b is 5 by combining like terms.

Question

What is the GCF of the terms in 4a^4+6a^2?

Solution 1

The GCF means Greatest common factor.

In this case it would be the biggest number that goes into 4 and 6 which is 2.

The first half of you answer is 2

The second half means the most amount of aâ€™s that can go into the biggest number of aâ€™s (doesnâ€™t multiply)

Example:

a^4 means there are 4 aâ€™s multiplying

a^2 means there are 2 aâ€™s multiplying

a*a*a*a

a*a

Going back to the most amount aâ€™s going into the biggest number of aâ€™s means that in this equation the most amount of aâ€™s that go into the biggest number of aâ€™s is a^2.

Your answer is 2a^2

In this case it would be the biggest number that goes into 4 and 6 which is 2.

The first half of you answer is 2

The second half means the most amount of aâ€™s that can go into the biggest number of aâ€™s (doesnâ€™t multiply)

Example:

a^4 means there are 4 aâ€™s multiplying

a^2 means there are 2 aâ€™s multiplying

a*a*a*a

a*a

Going back to the most amount aâ€™s going into the biggest number of aâ€™s means that in this equation the most amount of aâ€™s that go into the biggest number of aâ€™s is a^2.

Your answer is 2a^2

Question

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth. 6.4
6.8
32
47

Solution 1

**Answer:**

**Mean Â absolute deviation = 6.4**

**Step-by-step explanation:**

Given : Data Â 45, 38, 52, 58, and 42 hours.

To find : What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

Solution : We have given that

45, 38, 52, 58, 42

Mean Deviation = Î£|x âˆ’ Î¼|/N.

Where, x = Â given values like 45,38...etc

Â Â Â Â Â Â Î¼ = mean .

Â Â Â Â N Â = total number of values .

We need to find mean =

Â Â Mean ( Â Î¼ ) = 47.

|x âˆ’ Î¼| = |45 âˆ’ 47| = 2

|38âˆ’ 47| = 9

|52âˆ’ 47| = 5

|58âˆ’ 47| = 11

|42âˆ’ 47| = 5

Then Mean Deviation =

Mean Â absolute deviation = 6.4

**Therefore ,Mean Â absolute deviation = 6.4**

Solution 2

Your answer should be 6.4 if you attempt to solve this. I hope this helps your question!

Question

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative.

Solution 1

**Answer:**

Instantaneous Velocity is

**Step-by-step explanation:**

Velocity refers to the speed along with direction or we can say velocity refers to rate of change of position of an object with respect to time.

Let be the position of object . Then the instantaneous velocity is given by . At time , velocity is given by

Given:

On differentiating with respect to time t , we get :

At ,

Solution 2

since the derivative is a constant, it doesn't quite matter what "t" may be.

Question

The amount that results when $4000 is compounded at 6% annually over seven years

Solution 1

Question

In each round of a game show, a contestant answers a multiple-choice question that has three answer choices. The contestant advances to the next round by answering the question correctly. What is the probability of advancing to the seventh round if the contestant randomly guesses the answer to each question? Write your answer as a fraction in simplest form.

Solution 1

**Answer: Â **

**Step-by-step explanation:**

**Given: **The number of choices in in each question =3

Therefore, the probability of guessing the right answer is given by :-

Since, the probability of advancing to the seventh round is product of probability of answering correctly in all the preceding rounds i.e in previous 6 rounds.

**Therefore, the probability of advancing to the seventh round if the contestant randomly guesses the answer to each question is given by :-**

Solution 2

EMILY ITS ME MIA!! I SEARCHED UP THE ANSWER BECAUSE I DIDN'T KNOW IT EITHER!!

Question

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left handed?

Solution 1

.08% 90+60=150 and 9+3=12 12/150=.08

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