well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then
s = (1)(5π)
s = 5π.
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:
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A wall of a building is made from blocks that are each 1 cubic foot. The wall is 6 feet high and 6 feet wide. A window is made by removing some blocks as shown below. The window is 2 feet high by 2 feet wide. The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide and is cut from the center of the wall. Suppose the wall is expanded to be 12 feet high by 12 feet wide, and the window is expanded to be 4 feet high by 4 feet wide. How will this change the volume of the wall? A. The volume will not change. B. The volume of the wall will double. C.
When the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Volume of the wallThe volume of the wall is determined as follows;
V = h x w x t
where;
t is the thickness of the wallh is height of the wallw is width of the wallInitial volume of the wall when some blocks are removed to make a window is 2 feet high by 2 feet wide.
V1 = (6 - 2) x (6 - 2) x (t)
V1 = 16t ft³
Second volume of the wall when some blocks are removed to make a window is 4 feet high by 4 feet wide.
V2 = (12 - 4) x (12 - 4) x (t)
V2 = 64t ft³
V2 = 4(16t ft³)
V2 = 4(V1)
Thus, when the window is expanded to be 4 feet high by 4 feet wide, the volume of the wall quadruples or increases by factor of 4.
Learn more about volume of cuboid here: https://brainly.com/question/22694657
solve this 6(x+4)+1=x+5
[tex] \sf :\implies \quad {\pmb{x = - 4}}[/tex]
Solution:Let's solve the given equation step by step ;
[tex] \sf :\implies \quad 6(x + 4) + 1 = x + 5[/tex]
The first step is to distribute the equation:
[tex] \sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 24 + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 25 = x + 5[/tex]
Second step is to combine the like terms:
[tex] \sf :\implies \quad 6x + 25 - x = 5[/tex]
[tex] \sf :\implies \quad( 6x - x) + 25 = 5[/tex]
[tex] \sf :\implies \quad 5x + 25 = 5[/tex]
Now, subtract 25 from both sides :
[tex] \sf :\implies \quad 5x + 25 - 25 = 5 - 25[/tex]
[tex] \sf :\implies \quad 5x = - 20[/tex]
Divide both sides by 5:
[tex] \sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5} [/tex]
[tex] \sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}[/tex]
Hence, your answer is ; x = -4
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.
A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
There's enough soil to plant 8 herbs.
Step-by-step explanation:
24 ÷ 2 7/8 = 8.3
This shows that there's enough soil to plant 8 herbs.
A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?
A) $100
B) $110
C) $150
D) $280
Please show steps and explain
Answer: $150
the sports drink is only 25% smaller in the price compared to the tropical
but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92
the most you can stink out of this sum is $150
Step-by-step explanation:
Answer:$150
Step-by-step explanation:
the sport drink is only 25% less in the price compared to the tropical...
but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92
the most you can suck out of this total is $150
MARK ME BRAINLEST
Find the volume of given prism.
Answer:
345 [tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]
Find the least common denominator of 1/5 and 3/10?
Answer:
20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.
Answer:
10
Step-by-step explanation:
We need to find the lowest common multiple of teh 2 denominator:
So first let's write the first few multiples of 5:
5,10,15,20,25
Now let's write the first few multiples of 10:
10,20,30,40,50
Since 10 is the first number that appears in both lists this is our answer
Find the volume of this square-based pyramid. 12, 10, 10
Answer:
400
Step-by-step explanation:
so its actually really easy, take 10x10 and then multiply that by 12 and then divide by the exponent so in this case 10x10x12 then divide by 3
Answer: 400
Step-by-step explanation: 10*10*12/3
F(x) =3x+8 find the inverse of f(x)
Answer:
Step-by-step explanation:
Hi!
To find the inverse, first we express your function as:
y = 3x - 8
Then, we interchange x and y variables:
x = 3y - 8
From there, we isolate y:
x + 8 = 3y
x/3 + 8/3 = y
Then, the inverse, g(x) = (x+8)/3.
We can check this by getting g(f(x)):
(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.
This is correct by the definition of the inverse function.
You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.
If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).
This means g(y) = (y+8)/3, the same answer.
Hope this helps!
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answer:
$200
Step-by-step explanation:
You can find a point where they are both equal (2,400)
and than divided y/x (400/2)=200
can you guys help me plss thank you
Answer:
G: 770 yards
A: diameter
O: multiplication/division
N: 770 = 2πr
S: D = 2r = 770/π
A: 770/π or ≈ 245.0986 yards
Step-by-step explanation:
Hope this helps!
Answer:
Given: circumference = 770 yards
Asked: Diameter of the circle
Solution:
pi x d = 770
d = 770/ pi
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
Graph help fast!!!!!!!!!!1111
Answer:
(0,0)
(1,3)
(2,6)
(3,9)
(-1,-3)
(-2,-6)
(-3,-9)
Step-by-step explanation:
The equation of the graph is y=3x
The train was scheduled to arrive at 5:10 p.m. However٫it was delayed for 25 minutes. What time was it when the train arrived?
Answer:
5:35 p.m.
Step-by-step explanation: Just add 25 to 5:10
Tanslate the sentence into an equation
The sum of 4 times a number and 8 is 5.
Use the variable for the unknown number
Answer:
4x+8 =5
Step-by-step explanation:
sum = +
times = Multiply
is = =
4*x +8 = 5
Answer:
4x+8=5
Step-by-step explanation:
Let's assume the number is x
Four times x plus 8 is 5
4x+8=5
***Optional
If you need to solve it...
4x+8=5
4x=-3
x= - [tex]\frac{3}{4}[/tex]
Hope this helps! :D
what is an easy way to memorize like terms ex: 3 +x squared +x -5 +x squared
Answer:
You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.
(a+b)^2 = a^2+2ab+b^2
(a-b)^2 = a^2-2ab+b^2
(a-b)(a+b) = a^2+b^2
calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a
Is this correct?!? Please tell me
Step-by-step explanation:
It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"
Answer:
Binomial with degree 5
Step-by-step explanation:
The polynomial 3x⁵ + 3 is a binomial with degree 5.
Why?
This option is correct because:
3x⁵ + 3 has two terms & hence is a binomial.Also, the highest exponential power in this polynomial is 5 & hence it's degree is also 5.[tex]\rule{150pt}{2pt}[/tex]
which function has the same y-intercept as the one below
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Can someone please help me with this questions thank you !!
Step-by-step explanation:
count the number of boxes
Answer number 1 please. Thank you.
HELP MEEE , need the right answer
Answer:
A
Step-by-step explanation:
We do the opposite.
Answer: A. c = nv
Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.
First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.
x2 + 4x -2 = -1
can someone solve this for me please
An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Less Likely
Step-by-step explanation:
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
Therefore, the answer must be B, Less Likely.
It happens less than half the time, but can at times happen.
Hope this helps!
The solution is, Less Likely, best describe the likelihood of this event.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
An event has a probability of 2/7.
now, we get,
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
It happens less than half the time, but can at times happen.
Therefore, the answer must be B, Less Likely.
To learn more on probability click:
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#SPJ7
Find the measure of X
Find the measure of PS and QR
Answer: x=4. PS=QR=15
Step-by-step explanation:
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
what is the length of the diagonal from P to Q?
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
The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi
Answer
A = 30.25pi. PLS GIVE BRAINLIEST
Step-by-step explanation:
so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.
Radius: 11pi/2 = 5.5pi = 5.5 is radius
Area = pi * r^2
so Area = pi*5.5^2
so A = 30.25pi left in terms of pi
Answer: 11/4pi
Step-by-step explanation:
The Roberts Family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
I need help with this quick
Answer:
63π or 197.92 ft²Step-by-step explanation:
The required area is between 9+3 = 12 feet and 9 feet radius circles.
Find the area:
A = π*12² - π*9² = 144π - 81π = 63π = 197.92 ft²