Im stuck on this problem. Please explain how you got your answer
The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
Population Growth Equation
The formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
[tex]y=0.3^x[/tex], then
Pf=y
Po= 1
[tex](1+\frac{R}{100}) =0.3[/tex] , thus
[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
brainly.com/question/8935549
Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
5 inches : 6 inches
Step-by-step explanation:
20 inches : 2 feet
Use Hint: 1 feet = 12 inches
20 inches : 2·12 = 24 inches
Find the simplest form of 20 inches : 24 inches
20 inches : 24 inches , divide both numbers by 2
10 inches : 12 inches, divide both numbers by 2 again
5 inches : 6 inches
Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.
Answer:
yes ur on track
Step-by-step explanation:
There are 25 white tiles in a box. what percent of tiles what percent of tiles will ally use to tile her laundry room floor (6ft by 6ft)
Answer: 100%
Step-by-step explanation:
Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
49
Step-by-step explanation:
So, you can just do 245x1/5.
I got 1/5 from "how many did she LOSE?"
5/5-4/5=1/5.
She lost 49 games.
What is the measure of arc AB?
Answer:
First find out area of circle and find the A B X angle then substract Total area by ABX
Answer:
68
Step-by-step explanation:
The intercepted arc (AB) is double the inscribed angle (34)
A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
Learn more about limit at https://brainly.com/question/27517662
#SPJ2
Every second, an elevator either has a 50% chance of going up and a 50% chance of going down. If the elevator starts at floor 15, what is the probability that, after 5 seconds, the elevator is at floor 18?
Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:
4 up, 1 down.3 up, 1 down, 1 up.1 down, 4 up.1 up, 1 down, 3 up.2 up, 1 down, 2 up.5 outcomes, hence the probability is:
[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]
0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.
More can be learned about probabilities at https://brainly.com/question/14398287
Help a fella out :)))))))
Answer:
5280 ft/1 mi, 1848 ft
Step-by-step explanation:
Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.
[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]
[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex] (miles cancels out, left with feet)
[tex]\frac{1848ft}{1}[/tex]
1848 feet
I hope this helps!
You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13
Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?
Answer:
Variables
Let m = number of movies rented
Let g = number of video games rented
Given:
cost of renting one movie = $2cost of renting one video game = $3total money spent = $13total rentals = 5System of equations
m + g = 5
2m + 3g = 13
Solution
Rewrite m + g = 5 to make m the subject:
⇒ m = 5 - g
Substitute this equation into 2m + 3g = 13 and solve for g:
⇒ 2(5 - g) + 3g = 13
⇒ 10 - 2g + 3g = 13
⇒ 10 + g = 13
⇒ g = 3
Substitute found value of g into m = 5 - g and solve for m:
⇒ m = 5 - 3
⇒ m = 2
Therefore, 2 movies and 3 video games were rented.
For what values of a is the expression true? |a+5|=a+5
Answer:
a>=-5
Step-by-step explanation:
when a+5>/=0
a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.
Which of these numbers is the greatest?
0.29
0.27
0.21
0.28
Answer:
0.29
Step-by-step explanation:
greatest numberrr
i’m confused … i need helo
3 X-5y= -3
3x-5y=11
please show work
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70
can someone help me with this question
b is a answer
Step-by-step explanation:
formula
=a+b/2×h
Answer: 126 mm^2.
Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half. The steps are done below:
First, we need to find the bases and the height. The bases are are circled below, but it's basically the top and bottom lengths of the triangle. Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you. All you need is to assign each base with a top or bottom length. The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height. It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways. You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.Have a great day! :)
pls answer (10 points given)
Answer:
C
Step-by-step explanation:
Its not greater than or equal to and its less than 6.
Answer:
A. x < 3
Step-by-step explanation:
2x < 6
Simplify:
2x < 6 <== divide both sides by 2
/2 /2
x < 3
Rules:
Open circle: < (going left) or > (going right)
Closed circle: ≤ (going left) or ≥ (going right)
For our answer: x < 3
It would be an open circle going left. The only number line that illustrates this is line A.
Hope this helps!
PLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!
At a baseball game, the Rebelos orrdered 2 hot dogs and 3 cheese burgers and paid $20.00. The Caines ordered 2 hot dogs and 5 cheeseburgers and paid $29.00. What is the cost of one cheeseburger?
Answer:
$4.5
Step-by-step explanation:
Hot dogs=h
Cheese burgers=c
2h+3c=20
2h+5c=29
There are two ways to solve-
1. Elimination- multiply the bottom by -1.
2h+3c=20
-2h-5c=-29
-2c=-9
c=4.5
2. Just move 2h, and you get 2c=9, 4.5
WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)
Answer:
A. 5.0 * 10⁻⁹ J
Step-by-step explanation:
Q is charge.
ΔV is electric potential energy.
All we have to do is plug both values in.
PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J
Answer:
A.
Step-by-step explanation:
Plug the values in and there is your answer.
I hope it helps! Have a great day!
Anygays-
Jill went shopping from 3:45 pm to 5:00 om for how long did she shop
What should we added to -3/20 to get 2 9/20
Answer:
2.60
Step-by-step explanation:
This is a strange way to solve the problem, but it works for me.
1. Convert to decimals
-3/20 = -.15
2- 9/20 = 49/20 = 2.45
2. Solve
2.45 - (-.15)
2.45 + .15 = 2.60
2. A vanilla milkshake recipe calls for 3/8 cups of vanilla ice cream for every 1/3 cups of milk. How many cups of vanilla ice cream would be needed for 1 cup of milk?
(ಠ_ಠ)>⌐■-■. (⌐■-■)
Answer:
1 1/8 cups of vanilla for a cup of milk.
Step-by-step explanation:
v-3/8 m-1/3
v-6/8 m-2/3
v-1 1/8 m-1
Please help, this is due today for my homework!
2 spinners have three options. One has 1,2,3 while the other one has A,B,C. What is the probability of spinning a vowel and not spinning a 1?
Answer:
*** "and" means multiply
2/9
Step-by-step explanation:
*** "and" means multiply
spinning a vowel is 1/3
not spinning a 1 is 2/3
1/3 times 2/3 is 2/9
pls solve the following math from trigonometry
Step-by-step explanation:
[tex] \tan(2x) = 1.5[/tex]
Take the arc tangent,
[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]
[tex]2x = 56.3[/tex]
[tex]x = 28.15[/tex]
b.
[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]
[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]
[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]
[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]
[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]
[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]
Set each factor equal to zero.
[tex]6 \cos(x) + 5 = 0[/tex]
[tex]6 \cos(x) = - 5[/tex]
[tex] \cos(x) = - \frac{5}{6} [/tex]
[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]
[tex]x = 146.4[/tex]
For the second factor,
[tex] \cos(x) + 1 = 0[/tex]
[tex] \cos(x) = - 1[/tex]
[tex]x = 180[/tex]
So the answer for the second one is
146.4 and 180.
Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
A bird flies up and then down again, approximately following the
parabola y = -0.5x^2 + 15x. y measures height in feet.
Approximately what is the highest height that the bird flew to?
Answer:
112.5 ftStep-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
x = - 15/(-0.5*2) = 15The maximum height is the corresponding y- coordinate
y = - 0.5(15²) + 15(15) = 112.5 ftFind vertex
x coordinate
-b/2a-15/-115Y coordinate (Max height)
y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ftFOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.
Answer:
The answer is
→ 18:32
Step-by-step explanation:
The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.
Boys:
3 x 4 = 12
or
3 + 3 + 3 + 3 = 12
Girls:
4 + 4 + 4 + 4 + 4 = 20
or
4 x 5 = 20
20 + 12 = 32
Hope this helped! :^)
- ✨7272033Alt✨
What operation does the key word " increase" tell you to do?
Explanation:
The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".
Example: 3 is increased by 4.
⇒ 3 + 4
Notice that the addend (3) is being increased (+) by 4.
Please help me . 8,10,11!
