Answer:
Question!! What is the relationship between A and B?
Step-by-step explanation:
The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 months.
Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936
Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?
Answer:
Step-by-step explanation:
total of 15(36) = 540 person•hours was used
540 / 30 = 18 people
18 - 15 = 3 people need to be added
How does the number 7 in 777.77 in the tenths place compare to 7 in the hundredths place
Answer:
0.7 is 7/10 Example out of ten cookies 7 are chocolate chip
0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip
Hope This Helps!!!
The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one?
Answer:
I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber
Need help pls answer asap. Sorry the photo quality is bad.
Answer:
Step-by-step explanation:
1 + 3 = 4
so find the point 1/4 of the way from (-1, 2) to (7, 8)
x coordinate
Δx = ¼(7 - (-1)) = 2
x = x₀ + Δx
x = -1 + 2 = 1
y coordinate
Δy = ¼(8 - 2) = 1½
y = y₀ + Δy
y = 2 + 1½ = 3½
(1, 3½)
When dealing with business analysis, when there is a graph of two linear equations, what is the point of intersection
called?
a break-even point
c. profit point
b. loss point
d. output
Answer:
1. a break-even point
Step-by-step explanation:
This is when the two profits are the same between 2 companies / businesses, thus it is when they break even, or have the same amount of money
1 decigram (dg) = ______ grams (g)?
A. 0.01
B. 0.1
C. 0.001
D. 10
Answer:
B) 0.1
Step-by-step explanation:
The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.
If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]
2 3/7 + (-1 3/4) i need help please
Answer:
1/28
Step-by-step explanation:
help me please!! <33
13/20 - 1/2
===================================================
Explanation:
Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.
Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.
She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.
Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).
We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20
What is an equation of the line that passes through the point (6,-4) and isperpendicular to the line 22 - y = 5?
Veronica made 960 cookies to sell. She wants to package the cookies in boxes of 16. Her goal is to make $630 from selling her cookies.
Answer: She should charge $10.50 for each box
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
The time it takes to transport goods has __________ over time, causing trade to __________. A. increased . . . decrease B. decreased . . . decrease C. decreased . . . increase D. increased . . . increase Please select the best answer from the choices provided A B C D
Answer: C. decreased . . . increase.
As technology is advancing it requires less time and effort to do almost anything. So for tranportation as well i think it will take less time to do it. Thus logically people would want to trade more because the transport goods take less time. I guess?
Answer:
C
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
Please help with this question !!
Answer:
c) i^337 is equivalent to the expression i^137
Please help me solve this math problem
Answer:
I think it is undefined.
URGENT simplify (5^3 x 5^5)^5
Answer:
5^40
Step-by-step explanation:
Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.
[tex](5^3^*^5)(5^5^*^5)[/tex] [tex](5^1^5)(5^2^5)[/tex]Step 2: Based on the laws of exponents, add the exponents together.
[tex]5^(^1^5^+^2^5^)[/tex] [tex]5^4^0[/tex]Therefore, the answer is 5^40.
Cynthia gave 15 of her toys to her little sister. If she had 25 toys, how many did she give away?
5
she gave her sister 5 toys.
Correction to the question - It is not 15 it 1/5th.
According to the given question Cynthia had 25 toys and she gave 1/5th of her toys to her little sister.
So, The total number of toys is 25 to find 1/5th of it we need to multiply the total number of toys she had and the fraction she gave.
(25 x 1/5) = 5. so the number of toys she gave away to her little sister is 5.
To solve more of these kind of arithmatic and alzebraic word problems just search on web for word problems on arithmatic and alzebra.Learn more about word problems here :
https://brainly.com/question/2610134
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A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball contain, rounded to the nearest tenth of a centimeter?
Answer:
20m
Step-by-step explanation:
bc 22m rounded to the closest tenth is 20m.
Hopes This Helps :)
Answer:
about 180 cm
Step-by-step explanation:
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answer:
-12x²-48x-42.5
Step-by-step explanation:
i need help fast plz
Answer:
27/16
Step-by-step explanation:
[tex]12 \div \left(2 + \dfrac 23 \right)^2\\\\\\=12 \div \left(\dfrac 83 \right)^2\\\\\\=12 \div \dfrac{64}9\\\\\\=12 \times \dfrac{9}{64}\\\\\\= \dfrac{3 \times 9}{16}\\\\\\=\dfrac{27}{16}\\\\\\=1\dfrac{11}{16}[/tex]
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
Which product is negative?
Answer:
it is (3/8)( -5/7)(-1/4)
if ot it should be the one that is all postitive
Please solve the question on the file.
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
Keith bought 4 new baseball trading cards to add to his collection. The next day his dog at half of his collection. There is now 25 cards left. How many cards did Keith start with?
Answer:
46 cards
Step-by-step explanation:
We can use a variable to represent the starting amount of cards: (x)
Keith bought 4 new cards: (+4)
His dog ate half of the collection: (x/2)
There are now 25 cards: (=25)
So we can use this expression to find the starting amount: (x+4)/2=25
Start by multiplying both sides by 2 to get rid of the (x/2).
Now subtract 4 from both sides to get rid of the (+4).
Finally, we know x= 46
Thus, Keith started with 46 cards.
If [tex]f(x) = x[/tex]² [tex]-x+3[/tex], then what is the reaminder when [tex]f(x)[/tex] is divided by [tex]x+9[/tex]?
Answer:
Remainder is 93
Step-by-step explanation:
Use synthetic division:
-9 | 1 -1 3
____ -9 90
1 -10 | 93
Therefore, the remainder is 93
What are the steps in multiplying decimals?
Answer:
Ignore the decimal points then multiply the numbers that remain. Count the number of decimal places in all of the numbers of the question combined. Place the decimal point so that there are the same number of decimal places in the answer and the question.
Step-by-step explanation:
If PQ =13 and PR = 18, what is QR?
Answer:
QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5
Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation:
If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?
Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529