A conservationist is tracking the number of a rare type of tree in a forest as it recovers from a fire.

During the first 4 years after the fire, she records 2, 6, 18, and 54 trees. If this trend continues, which

expression can be used to find the number of trees after n years?

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...

5/9, 4/8

Can you combine these two fractions for a final answer?

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

Answer:

using Pythagoras theorem x=32.7

Answer:

21.7

Step-by-step explanation:

In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:

cos(θ°) = adjacent / hypotenuse

We can substitute the values we have:

cos(37°) = 17.3 / x

And rewrite the expression:

x = 17.3 / cos(37°)

Then, use a calculator to evaluate:

x = 21.66194689

This can be rounded to 21.7

Answer:

OPTION A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Answer:

[tex]4\sqrt{14} q^{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

adds 4 each time

Step-by-step explanation:

Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %

Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2[tex]\sqrt{3}[/tex], 6-2[tex]\sqrt{3}[/tex]

Answer:

48 1/4 packages

Step-by-step explanation:

Answer:

Explanation: Notice that if x is Real then x2≥0 , so x2+25 has no linear factors with Real coefficients

Answer:

yes

no

yes

yes

Step-by-step explanation:

replace every number on y

and check whether it works or not.

Answer:

y is 107° and z is 36°

Step-by-step explanation:

73° and y are supplementary angles so they add up to 180°

Answer:

y = 107

z = 36

Step-by-step explanation:

We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:

y + 73 = 180

and

y = 107

Next, using vertical angles, we can say that:

5z - 73 = y

We already have y = 107, so we can substitute that in:

5z - 73 = 107

5z = 180

z = 36

Answer:

84.823 in.³

Step-by-step explanation:

V = πr²[tex]\frac{h}{3}[/tex]

84.823 in.³

Answer:

D. 1,000

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

--------------------

hope it helps...

have a great day!!!

Answer:

The box can hold 4 1/8 cubic feet of dirt

Step-by-step explanation:

What we simply have to find here is the volume of dirt it can take

To get this, we have to multiply the dimensions of the box

We have this as follows

Volume or box = length * width * height

Volume of box = 2 3/4 * 1/2 * 3

Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet

Answer:

A

Step-by-step explanation:

Answer:

you us the equation given and plot points in the graph that are given with the equation.

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

Or

78 - (30 X 2) =

78 - 60 =

18 / 2 =

9

Answer: x = -3

Step-by-step explanation:

Answer:

Dealership A

Step-by-step explanation:

Dealership A: 0 + 4 + 4 + 6 + 6 + 7 + 8 / 7 = 5 mean sales

Dealership B: 1 + 2 + 2 + 4 + 5 + 7 + 7 / 7 = 4 mean sales

Answer:

33

Step-by-step explanation:

3n but n is 11 means 3x11

Answer:

3n = 33 when n = 11

Step-by-step explanation:

n = 11

therefore

3(11)

which means 3 times 11

Answer = 33

Hope this helps!

Answer:

The answer would be 16.

Step-by-step explanation:

Its easy multiplication. I hope this helps you!

Answer:

16 pounds (i belive)

Step-by-step explanation:

6.4 lbs × 2 1/2 = 16 lbs

Answer:

Your answer would be C: occurred during the same period of time

Step-by-step explanation:

Answer:

7.5 units2

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]