The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
A) A = (45,000) e-0.02t
B) A= 45,000 + e-0.02t
C) A = (45,000) e0.02t
D) A = 45,000 + e
0.02t
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
A easy question help.
Answer:
170ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its 170 25+30=55 55+55=160 but it's only 5 away so I could be wrong
State of the given functions are inverses
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
1)
Let's find f[g(x)] and simplify.
[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]
As f[g(x)] is not equal to x, these functions are not inverses.
2)
Let's find f[g(x)] and simplify.
[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]
[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]
[tex]f[g(n)]=\frac{4n}{4}[/tex]
[tex]f[g(n)]=n[/tex]
Now, we need to find the other composition function g[f(x)]
Let's find g[f(x)] and simplify.
[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]
[tex]g[f(x)]=-16+n+16[/tex]
[tex]g[f(x)]=n[/tex]
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
What is the positive solution to the equation 2x2 + 3x = 2?
Answer:
x(2x+3)
Step-by-step explanation:
Answer:
X= -2
2. x = 1/2 = 0.500
Step-by-step explanation:
PLEASE HELP, anything is very appreciated
Answer:
117.8097 [tex]in^{2}[/tex]
Step-by-step explanation:
Depending on how you're math is going there are two ways to solve this, find the are by the arc or just figure out the whole cookie and divide by 6. Let's try the latter is seems easier to say. I mean easier for me to say.
area of a circle is pi * r^2
the diameter is 30 inches so the radius is half of that or 15 inches
then the whole cookie is
pi*15^2 = 706.858 [tex]in^{2}[/tex]
now divide by 6 or each piece
706.858 [tex]in^{2}[/tex] / 6 = 117.8097 [tex]in^{2}[/tex]
now eat your cookie :p
5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftI am well known amongst students .
U might be familiar with me bcos am easy to grab.
My calculations involve a geometric figure with a number of sides .
Remembering SOH , CAH , TOA alone is not a clue to find me
Who am I ?
Answer:
Trigonometry--------------------A triangle flower bed has a perimeter of 15cm the drawing has a scale of 1:200. What is the perimeter of the actual flower bed
Answer:
300cm
Step-by-step explanation:
scale 1:200 means 1cm on drawing represent 200cm on ground so 15cm will be 15×200 which is 3000cm
I need help with this graph
9514 1404 393
Answer:
f, b, h, a
Step-by-step explanation:
Swapping the numbers in an ordered pair is not rocket science.
(-5, 2) ⇒ (2, -5) . . . (f)
(-4, 3) ⇒ (3, -4) . . . (b)
(-1, 4) ⇒ (4, -1) . . . (h)
(4, 5) ⇒ (5, 4) . . . (a)
Find the greatest common factor of the following monomials: 20a 46a^2 48a^6
A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?
Answer:
12 minutes
Step-by-step explanation:
The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath
pls help me somebody
Answer:
it is 36 inches
Step-by-step explanation:
F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer: [tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given
Function is [tex]f(x)=mx+b[/tex]
[tex]f(-2)=3[/tex]
[tex]\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)[/tex]
[tex]f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)[/tex]
from (i) and (ii) we get
[tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Place the indicated product in the proper location on the grid.
(2x - )2
Answer: it will be (4x-)
explanation: because the 2 that is outside the bracket will affect the 2 that is inside so it will be (4x-)
Answer:
Hope it helps u
Step-by-step explanation:
FOLLOW MY ACCOUNT PLS PLS
What is the value of the expression below?
[(3 • (-5)) - 10] = |2 + (-7)|
Answer: -30
Step-by-step explanation:
Dave went to a game convention to buy packs of trading cards. Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget. Let x represent how many packs of trading cards Dave bought. Which inequality describes the problem?
Answer: 5x>20
Step-by-step explanation: his budget is 20 so it will not be with the 5. Since each pack cost 5 dollars, it would 5x. Furthermore, the inequality symbol would be facing toward the 5 because dave went past his limit.
The inequality that represents he went over his $20 budget is 5x > 20.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Dave went to a game convention to buy packs of trading cards.
Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget.
As he went over his budget the inequality that represents this situation is,
5x > 20.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ2
Given that f (x )is continuous. f (3 )equals 1, f (1 )equals 6, f (6 )equals negative 2, and f (negative 2 )equals 3. Determine limit as x rightwards arrow 6 to the power of plus of f (x ), and limit as x rightwards arrow negative 2 to the power of minus of f (x ).
Given:
[tex]f(x)[/tex] is continuous, [tex]f(3)=1,f(1)=6,f(6)=-2,f(-2)=3[/tex].
To find:
The value of [tex]\lim_{x\to 6^+}f(x)[/tex] and [tex]\lim_{x\to -2^-}f(x)[/tex].
Solution:
If a function f(x) is continuous at [tex]x=c[/tex], then
[tex]\lim_{x\to c^-}f(x)=f(c)=\lim_{x\to c^+}f(x)[/tex]
It is given that the function [tex]f(x)[/tex] is continuous. It means it is continuous for each value and the left-hand and right-hand limits are equal to the value of the function.
The function is continuous for 6. So,
[tex]\lim_{x\to 6^-}f(x)=f(6)=\lim_{x\to 6^+}f(x)[/tex]
[tex]\lim_{x\to 6^+}f(x)=f(6)[/tex]
[tex]\lim_{x\to 6^+}f(x)=-2[/tex]
The function is continuous for -2. So,
[tex]\lim_{x\to -2^-}f(x)=f(-2)=\lim_{x\to -2^+}f(x)[/tex]
[tex]\lim_{x\to -2^-}f(x)=f(-2)[/tex]
[tex]\lim_{x\to -2^-}f(x)=3[/tex]
Therefore, [tex]\lim_{x\to 6^+}f(x)=-2[/tex] and [tex]\lim_{x\to -2^-}f(x)=3[/tex].
What's the inverse of 3x+2
Answer:
The inverse is
y = 1 /3 x − 2 /3
Step-by-step explanation:
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
A recording studio charges musicians an initial fee of $100 to record an album. Studio time cost an additional $1 per minute. Write and graph an equation that models the total cost of recording an album over one afternoon.
Answer:
$340
Step-by-step explanation:
Given data
Inititial fee= $100
cost per minute= $1
Let the total charge for x minutes by y
Hence the expression for the total charges after x minutes is
y= 100+1x
y=100+x
But an after is from 12pm - 4pm= 4 hours
x=4*60
x=240minutes
y=100+240
y=$340
Help me I need this really bad and I need a good grade I’m behind on school
Answer:
If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.
The number 2 represents the number of whole apples each individual gets.
The denominatior, 3, represents how many times an apple will have to be split to divide equally
The numerator, 1, represents how many 3rds each person gets.
Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.
Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?
Answer:
-1.833 ; we do not reject the Null.
Pvalue = 0.0409 ; We do not reject the Null
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Step-by-step explanation:
H0 : μ = 13
HA : μ < 13
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(12.8 - 13) ÷ 0.5/sqrt(21)
-0.2 / 0.1091089
= - 1.833
The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528
-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.
Test statistic :
Pvalue from Test statistic at DF = 20 ; α = 0.01
Pvalue = 0.0409
Pvalue > α
0.0409 > 0.01 ; Hence, we do not reject H0.
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
someone pls help I'm genuinely confused
I've literally been trying to figure out all three of these for like two hours now but I can't figure it out
Answer:
the area is 50
Step-by-step explanation:
Answer:
its 0.09637 but round it by urself . please like my answer and brainliest me hshsshhs
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 205.3 inches? Round your answer to four decimal places.
Answer:
the probability is 0.0750
Step-by-step explanation:
The computation of the probability is shown below;
The mean of x is
= 1.5 ÷ √79
= 0.1688
Now the probability is
= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)
= P(Z < -1.78) + P(Z > 1.78)
= P(Z < -1.78) + 1 - P(Z < 1.78
= 0.0375 + 1 - 0.9625
= 0.0750
hence, the probability is 0.0750
Oscar worked 40 hours last week. He had $160 deducted from his earnings for taxes. If he had $480 left
after the deduction, how much does Oscar earn per hour ?
Answer this and I’ll give you a sticker
Amy sells muffins for 1.35 each the muffins cost 0.39 each to make how much profit will Amy make if she sells 48 muffins?
Answer:
$46.08
Step-by-step explanation:
Hi,
She gets 48 (1.35) when she sells 48 muffins. That equals 64.8.
But she pays 48 (.39) to make them. That equals 18.72.
64.8 - 18.72 = 46.08
She makes $46.08
I hope this helps :)
2. If you drank two 12-ounce cans of soda each day for a year, how much money would you have spent?
Answer:
803 SORRY FOR ALL THE WRONG ANSWERS LOL
Step-by-step explanation:
you multiply the cents and the money by 2 then multiply it by 365
There are 378 calories in 7 servings. Find the unit rate. HELLPPP
Answer:
54 calories per serving
Step-by-step explanation:
if your question is how many calories per serving you just divide the amount of calories by the serving and you get how much per serving