========================================================
Work Shown:
P = 30 = initial populatione = 2.71828 = a constant (similar to pi = 3.14)r = 0.60 = growth rate in decimal formt = 5 = number of yearsApplying those values gets us the following
A = P*e^(r*t)
A = 30*2.71828^(0.60*5)
A = 602.56489
A = 603
After five years, there are approximately 603 rabbits in that forest.
Help. what would the second question be ?
Answer:
The box is worth 32.30$ ( approximately) in 2021
Step-by-step explanation:
5.7 ft
1.8 ft
2.9 ft
Estimate the volume
A)
11 ft3
B)
12 743
30 ft
D
36ft3
Answer:
30ft
Step-by-step explanation:
Don't worry I just know
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
please help I don’t understand this if you could help me that would be great , thanks!
slope = 4
y intercept = 0
====================================================
Explanation:
Two points on this line are (8,32) and (12,48)
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (48-32)/(12-8)
m = 16/4
m = 4
The slope is 4.
Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b
y = mx+b
32 = 4*8+b
32 = 32+b
32-32 = 32+b-32 ... subtract 32 from both sides
0 = b
b = 0
------------------
We found that m = 4 is the slope and b = 0 is the y intercept
We go from y = mx+b to y = 4x+0, which simplifies to y = 4x
In short: the y coordinate is 4 times that of the x coordinate.
For instance, if x = 16, then
y = 4x = 4*16 = 64
Which leads to the point (16,64)
Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.
Answer:
y = 4x
Step-by-step explanation:
The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]
~~~~~~~~~~
(8, 32)
(12, 48)
(16, 64)
k = 32 ÷ 8 = 4
y = 4x
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
9514 1404 393
Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
What is f(-4) for the function f(x) =-3x-8
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
Select the correct answer.
What is the missing side length in this right triangle?
Answer:
15
Step-by-step explanation:
It's a right angle triangle so we can use the pythogorean theorem to solve for Hypotenuse
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
So if we apply this formula,
[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]
[tex]81 + 144 = {c}^{2} [/tex]
[tex]225 = {c}^{2} [/tex]
[tex]c = \sqrt{225} [/tex]
[tex]c = 15[/tex]
Hope this helps :)
How does the decimal point move when multiplying 79.816×103?
Answer:
it moves 2 to the right
This pack of Pokemon cards is currently selling on Amazon for $3.90. If there are 10 cards in the pack, how much money are you paying per card?
A. $39.00
B. $13.90
C. $6.10
D. $0.39
What are the zeros of the polynomial y = (3x − 1)(x + 2)(2x + 1)? (4 points) negative two comma negative start fraction one over two end fraction comma start fraction one over three end fraction negative two comma negative start fraction one over two end fraction comma negative start fraction one over three end fraction 3, −2, 2 two comma start fraction one over two end fraction comma negative start fraction one over three end fraction
Answer:
1/3, -2 and -1/2
Step-by-step explanation:
Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)
The zeros of the function occurs at when y = 0
The expression becomes;
(3x − 1)(x + 2)(2x + 1) = 0
3x - 1 = 0
3x = 1
x = 1/3
Also
x = x+2
x = 0-2
x = -2
2x+ 1 = 0
2x = 0-1
2x = -1
x = -1/2
Hence the zeros of the polynomial are 1/3, -2 and -1/2
question.
А
0
2
3
Which fraction does point A show?
A
B
C
D
Answer:
B
Step-by-step explanation:
I don't remember but I just know how to do it
775 earning 4.25% compounded annually after 12 years
Please hurry please it’s 100 points
Answer:
yes
Step-by-step explanation:
Answer:
yes a function is being represented
Step-by-step explanation:
in order for a graph to represent a function, the graph of a function f is the set of ordered pairs, where f(x) = y. In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
A satellite flies 122070miles in 15.65hours. How many miles has it flown in 18.02 hours?
Answer:
answer
Step-by-step explanation:
A spotlight can be adjusted to effectively light a circular area of up to 7
meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)
Answer:
38 square metersStep-by-step explanation:
Use the circle area formula:
A = πr² = πd²/4Substitute the value of the diameter and calculate:
A = 3.14*7²/4A = 38.465 m²Maximum number of square meters is 38
Answer:
Diameter of the spotlight is 7 meters
Radius=Diameter/2=7/2 meters=3.5 meters
Area of the circular spotlight is :---
π×(radius)² =22/7×3.5×3.5=38.5 meter²
The maximum number of square meters that can be effectively lit up by the spotlight is 38.5 square meters.
what three ratios are equivalent to 11: 1
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
Match the angle in parallelogram WXYZ with a congruent one
∠XWZ
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
Answer:
D)XYZ
Step-by-step explanation:
I am pretty sure that's the answer
a wish tank that is full of water has sprung a leak, 12% of the water is lost every hour. what % of water is left in the tank after 20 minutes
y=x+5
x-5y=-9
Can someone please help ASAP
The scatter plot shows the number of passengers at a major airport over a 15-year period from the year 2000. About how many passengers traveled through this airport in the year 2011?
Answer:
The answer is 65
Step-by-step explanation:
First, determine the x-value that corresponds to the given year.
Since x corresponds to the number of years since 2000, the year 2009 corresponds to an x-value of 9.
Next, find the y-value on the trend line that corresponds to an x-value of 9. The problem statement has been updated to show lines traced from the x-value of 9 to the trend line and then to the y-value.
Notice that the point (9,70) appears to lie on the trend line.
Therefore, in 2009, approximately 70 million passengers travelled through the airport.
Question is complete.
Answer:
Step-by-step explanation:
gulp
Find the measure of a.
Answer: 25
Step-by-step explanation:
what was the price of 1 mug before the sale
tip
I need the hold thing to know the question like or the picture
Determine the smallest integer value of x in the solution 4x-9 ≥ 17
Answer:
6.5
Step-by-step explanation:
calculator
Answer:
7 is the smallest integer value
plz brainliestt
Step-by-step explanation:
4x>_ 26
x>_6.5
Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.
Answer:
The corresponding side length is 8 inches
Step-by-step explanation:
Similar Shapes
Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.
We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.
If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.
The corresponding side length is 8 inches
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
SOMEONE PLEASE HELP!!!
What would the exponential growth model be for the given situation?
6.4n-10=4.4n+6 solve for n
Answer: n=8
Step-by-step explanation:
1. Subtract 4.4n on both sides:
2n-10=6
2. Add 10 on both sides:
2n=16
3. Divide both sides by 2:
n=8
Have a nice day :D