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zysi [14]
1 year ago
5

Find the determinant of this matrix:

Mathematics
2 answers:
Margarita [4]1 year ago
6 0

Answer:

-1

Step-by-step explanation:

Formula to the determinant is:

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(0)–1(1)

0-1

-1

Dmitrij [34]1 year ago
6 0

Answer:

-1

Step-by-step explanation:

Formula: ad-bc

0(0) - 1(1)

0-1

-1

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Find the volume of the cone
mihalych1998 [28]

Answer:

B

Step-by-step explanation:

Formule for volume of cone:

V=πr2h

(Disregard the pi, Multiply the radius and height)

9 × 9 × 12

81 × 12

972

972π sq. units

3 0
3 years ago
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
djverab [1.8K]

Answer:

  • The function f(x) = 9,000(0.95)^x represents the situation.
  • After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  • The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

  f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

  f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0
3 years ago
Ricky Major
Assoli18 [71]

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

5 0
3 years ago
In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
-Dominant- [34]
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
3 0
1 year ago
The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ
Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 5C_{5}(0.55)^{5} (1-0.55)^{0}

=1(0.0503)(0.45)^{0}

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0
1 year ago
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