Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.
Answers
Answer:
[tex]B(4) > A(4)[/tex]
[tex]t = 6[/tex]
Step-by-step explanation:
Given
[tex]City\ A \to Purple[/tex]
[tex]City\ B \to Blue[/tex]
See attachment for both functions
Solving (a): Which is greater in A(4) and B(4).
From the readings of the graph
[tex]A(4)= 1.8[/tex]
[tex]B(4) = 2.6[/tex]
By comparison:
[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]
Solving (b): When is A(t) = B(t)
From the readings of the graph
[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]
i.e.
[tex]A(t) = B(t) = 3\ million[/tex]
Related Questions
Walter accepted a new job with an annual salary of $47,500. How much can he expect to earn after paying income taxes?
Answers
Answer:
$35625Step-by-step explanation:
He will pay 25% income tax as per table.
He will earn after tax:
47500*(1 - 0.25) = 47500*0.75 = 35625What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answers
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
Simplify this expression to standard form: -3(2x -4) - 2
Answers
good luck :)
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
Which function has an asymptote at x = 5 and an x-intercept of (6,0)?
OA
f(x) = log(x - 5)
B.
f(x) = log(x + 5)
OC. Ax) = log x-5
OD.
f(x) = log x + 5
Answers
Answer:
f(x) = log (x-5)
Step-by-step explanation:
__________
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
What is a function?A relation is a function if it has only One y-value for each x-value.
we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)
An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.
There are three types of asymptotes: vertical, horizontal and oblique.
The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
Hence, f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
To learn more on Functions click:
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2 - x = x - 8
ayudaaa
porfavor
Answers
Answer:
x=5
Step-by-step explanation:
2 - x = x - 8
- x = x - 8 - 2 (subtract 2 from both sides)
- x = x - 10 (combine like terms)
- 2x = - 10 (subtract x from both sides)
x = 5 (divide each side by -2).
Answer:
x = 5
Step-by-step explanation:
2 - x = x - 8
- x + 2 = x - 8
- x + 2 - 2 = x - 8 - 2
- x = x - 10
- x - x = x - x - 10
- 2x = - 10
- 2x ÷ - 2 = - 10 ÷ - 2
x = 5
Simplify:
7x3 + 5x2 – 2 = [?]
X=-1
Answers
Answer:
so the answer for your question is -4
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answers
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph
Answers
Answer:B
I think we are in the same class lol
Step-by-step explanation:448 divided by 14= 32
448 divided by 16= 28
B=speed of boat in water
Y= Speed of current
B+y=32
B-y=28
32 + 28 =60
60 divided by 2 = 30
32 -30 =2
B=30
Y=2
Add my discord if you need more help Snapple#0141
A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
A boat traveled 448 miles downstream and back.
The trip downstream took 14 hours. The trip back took 16 hours.
[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Speed of downstream
448/ 14= 32
Speed of back stream
448 / 16= 28
B = Speed of boat in the water
Y = Speed of current
The system of equation
B + y = 32
B - y = 28
32 + 28 =60
60 / 2 = 30
So,
32 - 30 =2
B = 30
Y = 2
Learn more about motion in stream here:
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solve the equation. which out of the four choices is correct
Answers
good luck :)))))
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answers
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answers
Answer:
the answer is 67789 because he will have enough money for the car to play
find the sine of < I
Answers
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
Which number is the c losest approximation of v39?
o 6.2
o 6.5
o 7.5
o 7.7
Answers
Answer:
6.2 would be ur awnser ( mark as best awnser
A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answers
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
Factor 49p – 35q.
Write your answer as a product with a whole number greater than 1.
Answers
Answer:
7(7p-5q)
Step-by-step explanation:
49p-35q
7(7p-5q)
Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answers
Answer:
m=0.9
Step-by-step explanation:
i really need help!!!
Jason, Lewis, and Nora will be placed in a line along with 7 other people.
What is the probability that they will be next to each other in any order?
Give percentage
Answers
Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
Can someone help me on this question quick please
Answers
Answer:
its the one thats right
Step-by-step explanation:
Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?
A.1/6
B.1/12
C.1/9
D.1/18
Answers
Answer: b
Step-by-step explanation:
thank you. please answer asap!
Answers
Answer:
96 i think
Step-by-step explanation:
I think its 96. just multiply all the sides
The claim that 20% of Americans know their credit score is tested. Suppose that the sample evidence causes us to fail to reject the null hypothesis claim that 20% of Americans know their credit score. State the final conclusion in simple, nontechnical terms.
A. There is sufficient evidence to support the claim that the percentage of Americans who know their credit score is equal to 20%.
B. There is not sufficient evidence to reject the claim that the percentage of Americans who know their credit score is equal to 20%.
C. There is not sufficient evidence to support the claim that the percentage of Americans who know their credit score is not equal to 20%.
D. There is not sufficient evidence to support the claim.
Answers
х
110°
70°
у
x = [? ]
Answers
Answer:
I believe it's 180 or 90
180?
Pls what’s the answer
Answers
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answers
Answer:
I dont know
Step-by-step explanation:
I really dont’ sorry
HELP ME OUT GUYS!!! Question is in the screenshot below.
Answers
Answer:1658.76 in^2
Step-by-step explanation:
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily’s tea?
a.
$108.70
b.
$144.93
c.
$536.77
d.
$715.69
Answers
Answer:
d
Step-by-step explanation:
Answer:
its right
Step-by-step explanation:
What would be the algebraic rule for a dilation with a scale factor of 3?
Answers
Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.
Step-by-step explanation:
In ΔPQR, what is the m∠Q? Enter your answer in the box.
Answers
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
Answer:
105.
I hope you have a good day :)
The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open
Answers
Answer:
30-2t^2+16t/t
Step-by-step explanation: