The number of bats in a colony is growing exponentially. After 3 years, there were 272 bats. After 5 years, there were 1088 bats.

If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 11 years? Do not include units in your answer.

Step-by-step explanation:

[tex]x = 2[/tex]

[tex]y = - 2[/tex]

[tex]z = 4[/tex]

[tex] \: [/tex]

[tex] = 2xy + 3yz - xyz[/tex]

[tex] = y.(2x + 3z - xz)[/tex]

[tex] = y.(2x + z.(3 - x))[/tex]

[tex] = - 2.(2.2 + 4.(3 - 2))[/tex]

[tex] = - 2.(4 + 4.1)[/tex]

[tex] = - 2.(4 + 4)[/tex]

[tex] = - 2.8[/tex]

[tex] = - 16[/tex]

Answer:

x=-30

Step-by-step explanation:

25x+15-5x+5=-50

20x+10=-50

20x+10-10=-50-10

2x=-60

x=60/2

x=-30

Hope it helps!

(I tired hard:))

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. 0.5 inches.

Answer:

C

Step-by-step explanation:

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

So

[tex]p_R = 0.21*0.18 = 0.0378[/tex]

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

So

[tex]p_P = 0.39*0.61 = 0.2379[/tex]

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

So

[tex]p_S = 0.4*0.21 = 0.084[/tex]

Probability of roommate A winning:

[tex]p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597[/tex]

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Answer:

Step-by-step explanation:

g=800(0.35)=280

a. 280/800=7/25

b. 520/800=13/20

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Solution :

[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]

                [tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]

               = 0.0836

P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)

     [tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]

    [tex]$=0.0836+0.0684+0.0294$[/tex]

    [tex]$=0.1813$[/tex]

P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]

          [tex]$=\frac{0.0836}{0.1813}$[/tex]

         [tex]$=0.4611$[/tex]

Answer:

that it has a radius of (84/(h×pi))^1/3

Answer:

Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room

Step-by-step explanation:

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

Answer:

I guess 5

Step-by-step explanation:

2 q 0 n 0 d

1 q 1 n 2 d

1 q 3 n 1 d

1 q 5 n 0 d

0 q 3 d 4 n

Solution :

a).

1. The domain of C(x)

   [tex]$x \in [0, \infty)$[/tex]

Range of c(x) is [tex]$[0, \infty)$[/tex]

Since the negative value do not make any sense.

2. C(x) =  Ax + b

  Intercept here denotes the fixed cost (that is when x = 0)

  The slope indicates the marginal cost (that is increase in cost per unit of quantity)

3. Revenue is maximum marginal revenue = 0

(that is when at the top of the parabola)

4. Profit = R(x) -C(x)

5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.

6 and 7 -- insufficient data.

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

Answer:

bananas: 2480

plantains: 20

Step-by-step explanation:

equations:

b+p=2500

b=124p

just plug then in and solve

Answer:

20 plantains and 2480 bananas

Step-by-step explanation (b is bananas + p is plantains):

2500 = b+p

b=124*p

2500=(124*p)+p

2500=125p (divide by 125)

20=p

b=124(20)

b=2480.

20

Answer:

Step-by-step explanation:

7/8-1/3=13/24

Answer:

13/24

Step-by-step explanation:

7/8 = 21/24

1/3 = 8/24

21/24 - 8/24 = 13/24

Answer:

1,413,720

Step-by-step explanation:

Total number of characters = letters + numbers

= 26 + 10

= 36.

So total number of possible codes

= 36P4

=  36!/ (36-4)!

= 36*35*34*33

= 1413720

Answer:

Step-by-step explanation:

Answer:

it can't be simplified

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

150 divided by 3 = 50

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

Answer:

C = 1.

Step-by-step explanation:

A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.

B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.

C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.

D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.

Hope this helped!

Answer: $1770.10

Step-by-step explanation:

Step 1.

450+ 375= 825

Step 2.

825+ 215+ 102= 1142

Step 3.

1142 × 1.55= 1770.1

Answer:

3000

Step-by-step explanation:

50 x 60 = 3000, because

5 x 6 = 30

then you add the 2 zeros making,

3000

Answer:

3000

Step-by-step explanation:

if we break it down, 5 x 6=30 but the numbers have zeros so you have to add one to that answer giving you 3000

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.

Answer:

x = 3

Step-by-step explanation:

Add 1 on both sides.

We get:

-2x = -6

Now divide -6 by -2...

-6/-2 = 3

-2x -1 = -7

add the "-1" on both sides, -2x -1 +1 = -7 +1

-2x = -6

divide "-2" on both sides, -2x/-2 = -6/-2

x = 3