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blsea [12.9K]
3 years ago
12

Paramecia are unicellular protists that have contractile vacuoles to remove excess intracellular water. In an experimental inves

tigation, paramecia were places were placed in salt solutions of increasing osmolarity. The rate at which the contractile vacuole contracted in pump out excess water was determined and plotted against osmolarity of the solution, as shown is the graph. (Graph has negative slope; y-axis - rate of concentration, x-axis - osmolarity of solution.) Which of the following is the correct explanation for the data?
a. At higher osmolarity, lower rates of contraction are required because more salt diffuses into paramecia
b. The contraction rate increases as the osmolarity decreases becase of the reduced amount of ATP produced by cellular respiration
c. The contractile vacuole is less efficient in solutions of high osmolarity because of the reduced amount of ATP produced from cellular respiration
d. In an isosmotic salt solution, thre is no diffusion of water into or out of the paramecia, so the contraction rate is zero
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

B)

Step-by-step explanation:

The contraction rate increases as the osmolarity decreases because of the reduced amount of ATP produced by cellular respiration

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From a standard deck of cards, what is the probability that you choose a red card and then choose a 3 assuming you replaced the
Hunter-Best [27]
A standard deck of cards has 52 cards. Half of the deck has red cards and half has black cards. So the first probability would be 26/52, or 1/2 (simplified, it's half the deck).

Then you put the card back and choose a 3. There are 4 cards with the number 3 in the deck. So it's 4/52.

Then you multiply both the probabilities
26/52 x 4/52 = \frac{1}{2}  x  \frac{1}{13} = 1/26
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3 years ago
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Kiran is spending $12 on games and rides at another carnival, where a game
Alinara [238K]

Answer:

0.25x + y = 12

Step-by-step explanation:

Given

Kiran is spending $12 on games

it means that he can spend total of $12 on rides and games

number of games is represented by x

cost of 1 game = $0.25

cost of x games = $0.25*x = $0.25x

number of rides is represented by y

cost of 1 rides = $1

cost of x rides = $1*y = $y

Total cost for x games and y rides =cost of x games  + cost of y rides

Total cost for x games and y rides =  $0.25x + $y

given that Kiran is spending $12 on games

Total cost for x games and y rides will be $12

thus,

$12 = $0.25x + $y

removing dollar sign for equation formation

0.25x + y = 12

given above is the equation to represent the relationship between the dollar

amount Kiran is spending and the number of games, x, and the number of

rides, y.

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3 years ago
Determine the nth term for each of the following sequences:16,15,14,13,12,..
Vladimir79 [104]
F(n) = 1st term - common difference (n - 1)

The operation is subtraction because the sequence is decreasing.

n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next

f(n) = 16 - 1(n-1)

Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
       = 16 - 1(4)
       = 16 - 4
       = 12     * as you can see, 12 is the 5th term of the sequence.

If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.
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3 years ago
Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
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For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

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kotykmax [81]

Answer:

a) 3n+5

b) n+16

c) \frac{n-9}{2}

d) \frac{x-u}{x+u}

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