which situations described can be modeled by an exponential function?
A. car rental for $38 plus $0.40 mile driven
B. bacteria colony of 5,000 triples every 60 minutes
C. city with a population of 20,000 doubles every 8 years.
D. amusement park membership that costs $40 and then just $5 per visit
Answer:
I did this exact same question on USATestPrep and here's what I answered that I got correct:
B, C and this one isn't an answer choice but the additional answer was: "1,000 grams of radioactive material with a half-life of 6 hours."
Hope this helps! I'm sorry if it doesn't help future people who sees this :/
The situations described can be modeled by an exponential function will be options B and C.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
Let's check all the options, then we have
A. Car rental for $38 plus $0.40 mile driven, it is an example of a linear function.
B. Bacteria colony of 5,000 triples every 60 minutes, it is an example of an exponential function.
C. City with a population of 20,000 doubles every 8 years, it is an example of an exponential function.
D. Amusement park membership costs $40 and then just $5 per visit, it is an example of a linear function.
The situations described can be modeled by an exponential function will be options B and C.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ5
Braniliest
Solve for the variable
7.5 = x + 1.25
A) 5.25
B) 6
C) 6.25
D) 6.75
Answer:
C
Step-by-step explanation:
1 , 3 , 6 , 10 , 15
1) What is the nth term of the sequence?
2) Use the nth term to work out the 21st term of the sequence.
Please help :) will award brainliest.
As we can see that common difference is increasing to one more digit after every term
so it means
a21 = 231
Answer:
1. a_n = a_(n-1) + n where a_1 is 1 or a_n = n(n+1)/2
2. 231
Step-by-step explanation:
Notice that from 1 to 3, you add 2; from 3 to 6, you add 3; from 6 to 10, you add 4, etc. The pattern here is add 2, add 3, add 4, add 5, etc.
1. Let the nth term be a_n. The recursive equation can be written as a_n = a_(n-1) + n where a_1 = 1 (Use this because they most likely teach you this in schools)
Here is it written in an arithmetic equation (most likely not taught in school):
We can write an arithmetic expression using the summation formula because it is basically the sum of the numbers from 1 to n, so a_n = n(n+1)/2
2. Using the recursive, we would need to constantly add until you get up to a_21, which would take a while. Using the arithmetic equation, we can simply get:
21(21+1)/2 = 21(11) = 231
I hope this helps! :)
Answer quick with explain please!!..
(Score for Question 3 of 3 points)
3. The total cost after tax to repair Deborah's computeris represented by 0.08(507) + 50h, where h represents
the number of hours it takes to repair Deborah's computer. What part of the expression represents the
amount of tax Deborah has to pay? Explain.
Answer:
The part of the expression representing the amount of tax to be paid is;
0.08(507)
Step-by-step explanation:
Here, we want to select the part of the expression that represents the amount of tax Deborah has to pay
From the expression, we have ;
0.08(507) + 50h
Kindly note that we can have 0.08 as 8/100
8/100 is same as 8%
when we represent taxes, it is usually a percentage of something
In that case, the tax part would be ; 0.08(507)
WILL GIVE 30 POINTS AND BRAINLIEST
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=8x−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
A. All four lines are parallel.
B.Lines 1 and 2 are parallel.
C. Lines 1 and 4 are parallel.
D. Lines 2 and 3 are parallel.
Answer:
1 and 4 are parallel
Step-by-step explanation:
What is 125x+200 on a number line
Answer:
125 (x+4)
Step-by-step explanation:
all you have to do is group the common factor
Would 6 and 12 be a verticle angle?
Answer:
yes technically but they are alternate interior angles but i dont know if you have learnt them yet
Step-by-step explanation:
if you have learnt this it is alternate interior angles.
whats the simplified form of the expression? (13points+brainliest)
Answer:
12√b5
Step-by-step explanation:
.................
Answer: Choice A) [tex]b^{5/12}[/tex]
=======================================
Work Shown:
[tex]\frac{\sqrt[3]{b^2}}{\sqrt[4]{b}}\\\\\\\frac{b^{2/3}}{b^{1/4}}\\\\\\b^{2/3 - 1/4}\\\\\\b^{8/12 - 3/12}\\\\\\b^{5/12}\\\\\\[/tex]
--------
Explanation:
In the second step, I converted from radical form to rational exponent form. The rule is [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]In the third step, I subtracted the exponents through the rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex] where 'a' is nonzero.The answer is equivalent to [tex]\sqrt[12]{b^5}[/tex] which is the 12th root of b^5.The average price of a gallon of regular gasoline in 2016 was $2.14. In 2017, the average price was $2.42 a gallon—an increase of 13%. At that rate, what will the average price of gasoline be in 2020?
HELPPP
Answer:
the answers 325 hope this helps your day
i need help please
Answer: B
Step-by-step explanation: the values start from zero to higher
5 = -4y - 21
Solve for y
5=-4y-21
Add 21 to both sides
26=-4y
divide -4 to both sides
-6.5=y
3. You have spent a total of $440 total on your gym membership so far. If the gym charges a
monthly membership fee of $30 and a sign-up fee of $50, how many months have you gone to
the gym for?
Answer:
13 months
Step-by-step explanation:
Total spent: $440
Sign-up fee: $50 (a one-time fee)
Membership fee: $30/month
[tex](440 - 50) \div 30 = 13 \: months[/tex]
The ratio 3 to 4 or 3/4 or 3:4 represents which percent?
a 75%
b 80%
c 50%
d 45%
Answer:
a
Step-by-step explanation:
look at it as a quarter. 4 quarters = a dollar or 100 cents. so 3 quarters = 75 cents so 75%
Answer:
75 or a
Step-by-step explanation:
100÷4=25
25x3=75
Hopefully that makes sense
PLZ HELP THIS IS FRUSTRATING FOR BRAINLIST
What is the percent decrease from 80 to 20?
HURRY ITS TIMED
Answer:
75%
Step-by-step explanation:
80-20/80*100
60/80*100
75%.
Hope this helps :D
(8.1 + 7.9)x – (25 ÷ 5)x
Answer:
8.1 + 7.9 X - 25 ÷ 5
16 X - 5 X
= 11 X
HOPE YOU UNDERSTOOD!
THANK YOU ♡
MARK AS A BRAINLIEST ANSWER!!☆
Answer:
11x
Step-by-step explanation:
(8.1 + 7.9)x – (25 ÷ 5)x = (8.1+7.9)x - 5x
= 16x - 5x
= 11x
Slope for this question ? Due at 11:59
Factor the polynomial completely
9x^3 - 63x^2 - 4x + 28
(x - 7)(9x^2 - 4)
(x - 4)(9x^2 - 7)
x(9x - 4)(x - 7)
(x - 7)(3x - 2)(3x + 2)
Answer:
2
Step-by-step explanation:
Use the information below to answer the following questions
Owen deposits $300 in a savings account that earns 1.7% interest each year.
The __ of the savings account is $300. *
Interest
Principal
Rate
Time
Answer:
principal
Step-by-step explanation:
The amount invested is the principal
Which triangles are SAS, SSS or not possible? HURRY!!!
Answer: 1 is not possible, 2 is SAS, and 3 is SSS
1 is AAA, which is not a triangle congruency theorem, thus not possible.
The markings on 2 display two congruent sides with a congruent angle between, and is thus SAS.
3 shows two congruent side markings and a shared side length, thus 3 sides are congruent (SSS).
(3x + 5)(x2 + 6x +11)
multiply
Answer:
3x³ + 23x² + 63x + 55
Step-by-step explanation:
Given
(3x + 5)(x² + 6x + 11)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis
= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms
= 3x³ + 23x² + 63x + 55
1.6y+y-4/15y+1 1/6y=2 1/3
PLZ HELP I GIVE BRAINLYIEST TO WHOEVER SOLVES FIRST
Answer:
i think its 2/3
Step-by-step explanation:
1. is the slope of this non-vertical line Positive or negative?*
Answer: Positive
Step-by-step explanation:
f(x)=3x-5 and g(x)= -2x -3
find f(g(x))
Answer:
-6x-14
Step-by-step explanation:
3(-2x-3)-5
-6x-9-5
-6x-14
Write two numbers which his greatest common divisor is 210 and to be between 10000 and 11000
Answer:
10080, 10290
Step-by-step explanation:
The multipliers of 210 required will be mutually prime integers that satisfy ...
10000 ≤ 210n ≤ 11000
47.61 ≤ n ≤ 52.38
That is, you want a pair of integers, each between 48 and 52, that have no common factors. Possibilities include ...
(48, 49), (49, 50), (49, 51), (49, 52), (50, 51), (51, 52)
For the above numbers, we have chosen ...
48×210 = 10,080
49×210 = 10,290
PLEASE HELP WILL GIVE BRAINLIEST AND PLEASE DONT TROLL I NEED THIS SOON TYTYTYTY <3
Answer:
[tex] \frac{4y}{4y} = \frac{12}{4} = 3[/tex]
Answer:
Y=3 they deleted the other one so igs ill just answer it.....
Step-by-step explanation:
Complete the equation of the line whose y-intercept is (0,-1) and slope is 4.
y=______
Answer:
y = 4x - 1
Step-by-step explanation:
Just plug it into slope intercept form which is y = mx + b
hope this helped!
At what point does the MAXIMUM occur on the graph above? *
pls help D:
Answer:
I would say its D
Step-by-step explanation:
srry if I'm no help
Mia is 7.01568 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume every other month has 30 days, instead of 31.
Answer:
There are 13 years 6 months and 12 days.
Step-by-step explanation:
Let's convert the scientific notation to standard form of minutes
7.01568x10^6 =7015680 minutes
Now, let's convert this to number of days because each day has 24*60=1440 minutes.
So, number of days in 7015680 minutes is [tex]\frac{7015680}{1440}[/tex]=4872 days
Now, change this 4872 days to years, months and days.
We know 1 year has 12 months and one month has 30 days.
So,
Number of years =[tex]\frac{4872} {12*30}[/tex]=13.53333333 years
Now, convert 0.53333333 years to months.
0.53333333*12=6.4 months.
Now, convert 0.4 months to days.
0.4* 30 =12 days.
So, there are 13 years 6 months and 12 days.
6m + 2 < 5m-4 solve the inequality for m
Answer:
[tex]\sf m<-6[/tex]Step-by-step explanation:
[tex]\sf 6m + 2 < 5m-4[/tex]
➠Subtract 2 from both sides:
[tex]\sf 6m+2-2<5m-4-2[/tex]
➠ Simplify:
[tex]\sf 6m<5m-6[/tex]
➠ Now, Subtract 5m from both sides:
[tex]\sf 6m-5m<5m-6-5m[/tex]
[tex]\sf m<-6[/tex]
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