Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?

a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x

Profit = amount sold - expenses

Profit = 115,849 - 66,350

Profit = $49,499

Answer:

fraction represented by model = 5/8

fraction less than model = 2/4

The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.

A fraction is a number that is the part of the whole.

It is represented in the form of p/q, where q is not equal to zero.

The figure has a circle in which sections have been divided.

There are some shaded sections and some non-shaded sections.

The number of shaded section is 5.

The number of non-shaded section is 3.

The total sections are 8.

The fraction that is represented by the model is 5/8.

The model shown is a visual way to represent and understand fractions.

The fraction = 0.625

The fraction in the options are,

3/4 = 0.75

11/16 = 0.6875

13/16 = 0.8125

2/4 = 0.5

0.5 < 0.625

2/4 < 5/8

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Answer:

t= -2

Step-by-step explanation:

9+4t=7t+15

Subtract 4t from both sides

9=3t+15

Subtract 15 from both sides

-6=3t

3t= -6

Divide both sides by 3

t= -2

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

Answer:

9/2 or 4.5

Step-by-step explanation:

3/4 divided by 1/6 changes into multiplication and you switch one of the denominators

it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2

Answer:

9/2

Step-by-step explanation:

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

A: -4

B: 5

C: -2

Step-by-step explanation:

The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.

-4x²+5x-2

Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.

A: -4

B: 5

C: -2

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them  together. I hope it helps and I'm not sure what method you would use for this but that's mine.

Pergunta correta:

Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado

Resposta: A) 54

Explicação passo a passo:

17x + 51y = 102 - - - - equação 1

Divulgue até 17

x + 3y = 6 - - - - - - - Equação 2

9x + 27y - - - - - - - equação 3

Comparando as equações 2 e 3

(Equação 3) = 9 × (equação 2)

Isso é, 9x + 27y = 9 × (x + 3y = 6)

9x + 27y = 9x + 27y = 54

Portanto ; 9x + 27y = 54

Answer:

48 =x

Step-by-step explanation:

3/4x + 12 = x

Subtract 3/4 x from each side

3/4x + 12-3/4x = x-3/4x

12 = 1/4x

Multiply each side by 4

12*4 =1/4x *4

48 =x

Answer:

x=48

Step-by-step explanation:

f(x) is basically just another way to write y.

If f(x)=x, then y=x.

x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)

1/4x=12 (Subtract 3/4 from both sides of the linear equation)

x=48 (Multiply both sides by 4)

Answer:

B and D I dont have time to explain

I am sorry.

Thanks for question

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

Answer:

x = [tex]\frac{t(a+p)}{4}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )

a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )

t(a + p) = 4x ( divide both sides by 4 )

[tex]\frac{t(a+p)}{4}[/tex] = x

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

The right answer is -2/3

please see the attached picture for full solution

Hope it helps

Answer:

[tex]slope = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A. 8/1

Step-by-step explanation:

96/12=8

12/12=1

Therefore, the answer is 8/1. Have a good day!

8/1 is the unit rate of the fraction 96/12, option A is correct.

The given fraction is ninety six by twelve

96/12

Let us find the unit rate of 96/12

we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.

96 divided by 12 is 8

and 12 divided by 12 is 1.

So 96/12 is equal to 8/1

Therefore, the simplified form of 96/12 is 8/1.

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Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

Answer:

16h⁴b²

Step-by-step explanation:

(4h²b)²= 4²(h²)²b²= 16h⁴b²

Answer:

y = 6

Step-by-step explanation:

-3x + 9y = 18

-3(6) +6y = 18

-18 +6y = 18

Add 18 to each side

-18+18 +6y =18+18

6y = 36

Divide each side by 6

6y/6 = 36/6

y = 6

Answer:

8 pencils for every 4 students or 2 pencils for every students

Step-by-step explanation:

Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent

Answer:

-55/8, 61/8, x=47/24

Step-by-step explanation:

not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one

but basically just sub in the value into the eqn given

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

Answer:

$0.92

Step-by-step explanation:

Since only one ticket out of the 250 wins a 230 dollar prize, the expected payoff is 230/250=0.92. Hope this helps!