There are currently 12 frogs in a large) pond. The frog population grows exponentially, tripling every 8 days.
How long will it take in days) for there to be 240 frogs in the pond?
Time to 240 frogs?
The pond's ecosystem can support 1800 frogs. How long until the situation becomes critical?
Time to 1800 frogs?

Answer:

58.4

Step-by-step explanation:

delta math give up

Answer:

1420

Step-by-step explanation:

delta math

The required length of n is 1419.5 cm which is determined by the Law of Cosines.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In triangle ΔLMN,

l = 810 cm, m = 620 cm and ∠N=166°.

We have to determine the length of n

The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.

n² = l² + m² − 2lm cos(N)

Substitute the values in the above formula and solve for n

n² = 810² + 620² − 2 × 810 × 620 × cos(166°)

n² = 810² + 620² − 104400 × cos(166°)

n = ±1419.5

n = 1419.5, and n = - 1419.5

Neglected the value of n = - 1419.5 because length should not be negative.

n = 1419.5 cm

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Answer:

7.5 kilograms of apples

Step-by-step explanation:

Take the total amount and subtract the amount of pears.

8.9-1.4=7.5

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

if apples are 2/5, then pears are 3/5.  3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears

Answer:

Please refer to the attachment

Answer:

3. (x + 6)(x + 3)

4. (x-6)(x+2)

Step-by-step explanation:

3. x^2 + 9x + 18

To check if it is factorable, first check the discriminant

b^2 - 4ac

9^2 - 4(1)(18)

81 - 72

9

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to 9 and multiplies to 18

3 and 6 work

Rewrite the equation as

x^2 + 3x + 6x + 18

x(x + 3) + 6(x + 3)

(x + 6)(x + 3)

4. x^2 - 4x - 12

To check if it is factorable, first check the discriminant

b^2 - 4ac

(-4)^2 - 4(1)(-12)

16 + 48 = 64

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to -4 and multiplies to -12

-6 and 2 work

Rewrite the equation as

x^2 - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x + 2)(x - 6)

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Did you mean [tex]log_{25}[/tex] 125, so that your base is 25?  If so then all you do is ask  yourself "25 to what power is 125?" since [tex]25^{\frac{3}{2} }[/tex] = 125, then the  [tex]log_{25}[/tex] 125 = 3/2

Answer:

464 grams.

Step-by-step explanation:

Amount of substance:

The amount of substance after t years is given by an equation in the following format:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Co-60 has a half life of 5.3 years.

This means that:

[tex]A(5.3) = 0.5A(0)[/tex]

We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]

[tex](1-r)^{5.3} = 0.5[/tex]

[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]

[tex]1 - r = 0.8774[/tex]

So

[tex]A(t) = A(0)(0.8774)^{t}[/tex]

If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?

We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So

[tex]A(t) = A(0)(0.8774)^{t}[/tex]

[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]

[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]

[tex]A(0) = 464[tex]

464 grams.

Answer:

3?

Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

Answer:

2/3

Step-by-step explanation:

Answer:

10×6

= 60

Step-by-step explanation:

maaf kalau salah

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

Missing Details

Quarters  ≡ Dimes ≡  Nickels ≡  Pennies

23             ≡   29      ≡  17           ≡  38

Answer:

[tex]P(Q\ or\ P) = 0.5701[/tex]

Step-by-step explanation:

Given

[tex]Quarters = 23[/tex]

[tex]Dimes = 29[/tex]

[tex]Nickels = 17[/tex]

[tex]Pennies = 38[/tex]

First, we calculate total number of coins

[tex]Total = 23 + 29 + 17 + 38[/tex]

[tex]Total = 107[/tex]

The probability of obtaining quarter (Q) of penny (P) is:

[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]

[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]

Take LCM

[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]

[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]

[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]

[tex]P(Q\ or\ P) = 0.5701[/tex]

Answer:

I think it's B.

Step-by-step explanation:

Divide using polynomial division.

x + 1 + 1/ x − 1.

Maybe not 100% sure.

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that [tex]a = 1, b = 797[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the plots and graphs.

Since, the x axis varies from -infinite to +infinite,

here, the y totally varies from -5 to +5,

hence, the option B.) is correct.

===>

[tex] - 5 \leqslant y \leqslant 5[/tex]

Answer:

Prime Factors is a  factor of a given integer which is also a prime number.

Answer:

The slope is POSITIVE.  

The line has a slope of positive 4/3

Step-by-step explanation:

It rises 4 then runs 3.

Answer:

I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry

Answer:

[tex]6\frac{7}{10}x + 9[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]

[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]

[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]

Step 2:  Combine Like Terms

[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]

[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]

[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]

[tex]9+\frac{67}{10}x[/tex]

[tex]6\frac{7}{10}x + 9[/tex]

Answer:  [tex]6\frac{7}{10}x + 9[/tex]

Please let me know if you need to make it more clear!  :)

Answer:

Step-by-step explanation:

Wheres the diagram??

Incomplete q

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer:

Their combined height is 108 inches

Step-by-step explanation:

1 ft = 12 inches

12 * 4 = 48 inches

48 + 6 = 54 inches

54 * 2 = 108 inches

Answer:

9 ft and 0 inches

Step-by-step explanation:

4 ft 6 inch + 4 ft 6 inch = 8ft 12inch

12 inches = 1 foot

8 ft + 1 ft = 9ft

Answer:

The volume of the cube is 77 inches.

Answer:

y = 2x + 6

Step-by-step explanation:

10x - 5y = -30

-5y = -10x - 30

y = 2x + 6

Answer:

1

Hope this helps!!!!

Answer:

[tex]3log2[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )[/tex]

Required

Solve

Apply logarithm rules

[tex]log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )[/tex]

[tex]log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )[/tex]

Apply quotient rule

[tex]log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )[/tex]

[tex]log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )[/tex]

[tex]log( \frac{100}{8} ) + log( \frac{80}{125} )[/tex]

Apply product rule

[tex]log( \frac{100*80}{8*125} )[/tex]

[tex]log( \frac{8000}{1000} )[/tex]

[tex]log(8)[/tex]

Express 8 as 2^3

[tex]log(2^3)[/tex]

[tex]3log2[/tex]

Answer:

24

Step-by-step explanation:

PEMDAS is an acronym for the order of operations.

P: Paranthesis

E: Exponents

M: Multiplicating

D: Division

A: Addition

S = Subtraction

(Note that division and multiplication are in the same "stage" and don't take priority over one another.)

Answer:

Step-by-step explanation:

you want to know the precedence of order.

the P is parenthesis... do those 1st

/ = this is also a divide sign

10 + 4 ÷ 2 x (5 - 1 + 3 )  ( go left to right, as if reading inside parenthesis )

10 + 4 ÷ 2 x (7)    now to multiplication and division going left to right again)

10 + 2 x7    

10 + 14

24