The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
After analyzing this number line, which set of numbers would all round to 0 when rounding to the nearest hundred? A) 15, 35, 44 B) 35, 44, 50 C) 44, 50, 55 D) 55, 63, 69
Answer:
all the numbers in set a would all round to 0
A cube has a volume of 0.216 ft?. What is the length of each side of the cube?
Answer:
the answer is 0.054
Select the correct answer from each drop-down menu.
sin75° +sin15°=
sin75°-3in15º =
Answer:
Step-by-step explanation:
Answer:
Behold! The web haseth calculators. They work well.
#PlatoAccuracyMatters
Step-by-step explanation:
Bob carved this solid out of wood find the volume of the solid
Answer:
640
Step-by-step explanation:
Randy bought 5 candy bars for $6.00. What is the cost per candy bar?
A. $0.83
B. $7.20
C. $1.14
D. $1.20
Answer:
The answer is D: $1.20.
Step-by-step explanation:
1. The overall cost is $6
2. There are 5 candy bars
3. Assuming of the bars cost the same, we can find out the cost per bar
4. To do that, we take our overall cost $6, and we divide it by 5
5. 6/5=1.20 which is why the answer is D: $1.20
Answer:
D.$1.20
Step-by-step explanation:
What is the range for this data set?
37 years
9 years
41 years
Answer:
30 years
Step-by-step explanation:
41 minus 11=
What is the probability that a randomly selected player is a boy on the Sunderland team?
Hint: Sunderland boy/grand total.
.384
.462
.615
.538
Answer:
7/30
Step-by-step explanation:
First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30
Write the following number in scientific notation:
0.0000487
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
Find the first five multiples of the number 5.
A. 10, 15, 20, 25, 30
B. 5, 10, 15, 20, 25
c. 1, 5, 10, 15, 20
D. 5, 15, 25, 35, 45
Answer:
B. 5,10,15,20,25
Step-by-step explanation:
The first 5 multiples of a number are that number multiplied by 1-5 so
5(1),5(2),5(3),5(4),5(5) so
5,10,15,20,25 so
B. 5,10,15,20,25
Answer:
5,10,15,20,25
Step-by-step explanation:
How do u not know this ur in middle school
What’s the answer to this??
Answer:
i think the letter d is the correct answer sorry if im wrong
Answer:85
Step-by-step explanation:
360-119-71=170
170÷2=85
It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
1 room-8hr (with friend)
alone- -12hr
friend working alone- x-12
Here is the base for you
hope this helps
Step-by-step explanation:
A class goes to a science museum. There is an exhibit which has a giant sphere that shows different weather patterns. The surface area of the sphere is 24,316.16 ft. What is the radius of the sphere? Use 3.14 for pi.
Answer: sjsjsjdjffj
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
A telescope costs $98. It is on sale for 35% off. What is the cost of the telescope after the discount?
Answer:
To solve this equation first we need to find out how much is 35% of $98.
The percentage of a number is found by multiplying the percentage by the number:
35% x $98 = $34.3
So the 35% off the telescope equals a discount of $34.30.
Now let’s find the price after the discount.
We need to subtract the discount price from the original price:
$98 - $34.30 = $63.70
So we know that the price of the telescope after the discount is $63.70
plzzz mark me brainliest if this helped :)
I need 3 more brainliests to become an expert
How to solve for x 2x + 3x -5 =20
Answer: x=5
Step-by-step explanation:
Simplify to 2x+ 3x -5 to 5x-5
5x- 5 = 20
Add 5 to both sides.
5x= 20+5
Simplify 20+5 to 25.
5x= 25
Divide both sides by 5.
x= 25/5
Simplify 25/5 to 5.
x=5
Please justify the answer
Answer:
The age of the car in years is the independent variable
The average miles is the dependent variable
Step-by-step explanation:
Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.
Hope this makes sense :)
I'll mark you the brainlest if you answer this correctly
Answer:
A=14
Use formula A^2+B^2=C^2
Answer:
∠ A ≈ 24°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{MR}{AR}[/tex] = [tex]\frac{6}{15}[/tex] , thus
A = [tex]sin^{-1}[/tex] ([tex]\frac{6}{15}[/tex] ) ≈ 24° ( to the nearest degree )
Plz help ASAP!! A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work. Hint: the answer is 0.000084.
Answer:
This is a fairly simple binomial distribution. We know it's binomial, because we're looking for a "fixed" number of patients, not the "first" like a geometric.
You can use your calculator:
binomcdf(n,p,Kr)
n=population, p=probability, Kr=number you're looking for
binomcdf(8,.8,1)
We have to do 1, not 2, because it says fewer than 2, which means 1.
= 8.448 x 10⁻⁵ = .00008448, which is approximately the answer given!
i need help!!!
x+y=6
x=4
simplify the answer as much as possible
-9x+2y=16
7x+2y=16
A8,1
B8,0
C8,-10
D0,8
The area of a square is 102 square units. What is an
estimated value for the length of a side of the square?
between 10 and 11
between 11 and 12
between 12 and 13
between 13 and 14
Answer:
Between 10 and 11.
Step-by-step explanation:
To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)
10²= 100
11²= 121
Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.
Which input value produces the same output value for the
two functions on the graph?
x = -3
x= -2
x= -1
x = 3
Answer:
hmm
um i don't think I could solve this why not try ta scan math i
Are there more 3-digit numbers that can be divided by at least one of the numbers 4, 7, or 9, or 3-digit numbers that cannot be divided by either one of them? I need ASAP! HELP! please provide an explanation.
Answer:
Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9
Step-by-step explanation:
Any real number can be divided by those numbers but you may get decimals as well.
There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.
How to compute the number?It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.
In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.
Learn more about real number on:
https://brainly.com/question/155227
#SPJ2
Which ratio is equivalent to the scale kom?
1:50
1:51
50:1
49:50
Answer:
50;1
Step-by-step explanation:
cause
Which figures can be circumscribed by a circle? Select all that apply.
Answer:
Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have
Option A, B, C are all correct (those figures can be circumscribed by a circle).
Hope this helps!
:)
The amount of people in a population can be determined by using the model y=1000(1.35)x. What is the growth rate?
A.
35%
B.
1.035%
C.
1.35%
D.
3.5%
Answer:
The growth rate is 35%
Step-by-step explanation:
We are given that the amount of people in a population can be determined by using the model :
[tex]y=1000(1.35)^x[/tex]
Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]
Where y is the population in t years
a = Initial population
r = growth rate
The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]
Om comparing it with 1
r = 0.35
So, Growth rate = 35%
Hence The growth rate is 35%
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Mia has $9000 in a savings account. The interest
rate is 9%, compounded annually. Which
equation can be used to represent the
situation?
Answer:
Y=9000(1.09)^X
Step-by-step explanation:
