Answer:
this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
EEEEEEEEEEEEEEEEEEEEEEEEE
The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253
How to determine the equation of the situation?Let the smaller number be n.
So, the consecutive numbers are n and n + 1
When the numbers are added, we have:
Sum = n + n + 1
This gives
Sum = 2n + 1
The sum is 253.
So, we have:
2n + 1 = 253
Hence, the equation that describes the situation is 2n + 1 = 253
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Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients to make 20 glasses of lemonade. How much should he charge for one glass of lemonade to cover his expenses and make $10 in profit?
Round to the nearest cent.
Timed test
Answer:
profit = revenue - cost
10 = 20x - (4.5 + 2.5)
10 = 20x - 7
10 + 7 = 20x
17 = 20x
17/20 = x
0.85 = x
check...
profit = revenue - cost
10 = 20(0.85) - 7
10 = 17 - 7
10 = 10 (correct)
so he would have to sell each cup at 0.85 ccents to make a profit of $ 10
Step-by-step explanation:
Answer:
I cant find the next one hehrh
A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:
Answer:
there's a higher probability for females
Martin charges $15 for every 5 bags of leaves he rakes last weekend he raked 20 bags of leaves how much money did he earn
Answer:
60 hope this helps
Step-by-step explanation:
15 divided by 5 =3
20 multiplied by 3 =60
What Is f(0) ?
Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12
Answer:
12 only
Step-by-step explanation:
It means x is zero, and the only point on x=0 is 12 :)
According to the graph the function f(0) is 12 only .
What is intercepts?The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.
According to the question
The graph shows the function in which
f(0) is
i.e
x = 0 or y intercept
Now, according to the graph
at x = 0 , y = 12
Or
f(0) = 12
Hence, The function f(0) is 12 only .
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Jillian has been updating the design of a media streaming website. She wonders if users will spend more time on the site with the new design, so she designs a study. She starts with a random sample of 1,000 users and randomly assigns half of them to the old design and half of them to the new design. After a week, she notices that users with the new design spend significantly longer on the site than the users with the old design. Can we conclude that the new design caused users to spend more time on the site? Why? Choose 1 answer: A)Yes because the sample size was large, B) Yes, because the users were randomly assigned to treatment and control groups, C) Yes, because the users were randomly selected, D) Not necessarily, because the sample size was too small, E) Not necessarily, because this wasn’t an experiment.
Answer:
Yes, because the users were randomly assigned to treatment and control groups
Step-by-step explanation:
Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.
Answer:
C: Yes, because the users were randomly selected
Step-by-step explanation:
Got it right on USATP.
Hope this helps!
From: Aug1e
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S, in terms of t, representing the depth of snow on Amelia's lawn, in inches, t hours after the snow stopped falling.
Answer:
The equation is;
S = 18 - 1.5t
Step-by-step explanation:
From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t
After 4 hours of melting, the snow depth is 12 inches
Now, recall that the rate of melting is 1.5 inches/ hour
So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches
So the total depth of the snow initially will be 6 + 12 = 18 inches
So let’s write the equation;
S = 18 - 1.5t
Where S is the depth of the snow after a particular number of hours t
If the points P(5,2),Q(0,7) and R(-5,2) are drawn on coordinate plane,where must point S be located so that figure PQRS is square.
Answer:
(0, -7) i think
hope this helps :3
sorry if im wrong
1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit
into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and
dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.
(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)
Part II: How much will Darla deposit into her savings account?
U.S.)
Answer:
The number of coins is missing, so I looked for a similar question:
Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters
Darla can make:
9 rolls of pennies (worth $4.50)
7 rolls of nickels (worth $14)
8 rolls of dimes (worth $40)
6 rolls of quarters (worth $60)
total amount of money = $118.50
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
point Q was rotated about the origin (0,0) by 180
Answer:B
Step-by-step explanation:
The coordinates of the image of the rotation of the point Q is:
Q' = (4, 2)
What is the image of the rotation?
We can see that the original coordinates of point Q are (-4, 0).
If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.
It only changes the sign of the x-component.
Then the image of the rotation is:
Q' = (4, 0)
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Round 24.9652 to
1 decimal Place
Answer:
2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.
Find the value of x.
Answer:
Its 9
Step-b(y-step explanation:
Can you make me brainlist??
Answer:
The answer is B just took the test!
which direction would the graph of y=|x+5|-1 open?
a. down
b.up
c.right
d.left
The answer fam is.......... "b.up"
Heather solved this problem:
75 is 300% of what number?
Part
0 75
300
What error did Heather make?
None. Her work is correct.
O She multiplied 75 and 4 incorrectly.
She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio.
300
The part-to-whole percent ratio is 100
?
100
0
Whole
part
whole
75 x 4 300
100 x 4 400
Answer:
she used the part 75 long story short d
Step-by-step explanation:
Two sides of a rectangle iPhones are five and 5/8 feet long other two sides of 6 1/4 feet long what is the perimeter
Answer:
Here it is!
Step-by-step explanation:
Naomi bought a dress on sale for $24. Naomi bought the dress for 60% of the original price. Which equation shows how to find the original cost of the dress?
A.
0.60x = 24
B.
0.40x = 24
C.
24x = 60
D.
60 – 24 = x
Answer:
A
Step-by-step explanation:
How do I write Domain and Range in inequality notation?
Answer:
Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is
Monica bowled 3 games. Her scores were 175, 142, and 133. What was her mean, or average, score?
Answer:
monicas mean score is 150
Step-by-step explanation:
beacause 3 games divide 142 and 175 133 d
how many times can 130 go into 22? DIVIDE
130 cannot go into 22.
22 can go into 130 5 times
130 can not go into 22 idk if u meant 22 into 130
Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer
Answer:
Vanessa, she only needs to buy one ink cartridge according to the question
where Tia has to buy more? I need more info on the question
Step-by-step explanation:
Tia bought less expensive printer.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.
Equation that represents the cost for Vanessa's printer is -
V = 90 + 25c
Equation that represents the cost Tia's printer is -
T = 80 + 20c
For {c} = 1, the cost for Vanessa's printer is -
V(1) = $115
For {c} = 1, the cost for Tia's printer is -
T(1) = 80 + 20 = $100
Therefore, Tia bought less expensive printer.
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the measure of an angle is 79.7 what is the measure of its complementary angle
Answer:
10.3
Step-by-step explanation:
Answer:
10.3°
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
Therefore the complement of 79.7
= 90-79.7
=10.3°
3. Determine if the graph below is a function.
Explain your reasoning.
Answer:
A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Step-by-step explanation:
6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.
Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom square tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches.
a. What is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? Use paper to show your work. Enter your answer in the box.
The side length of the largest square tile Hector can use to tile his shed floor is
inches.
b. How many floor tiles will Hector need to cover his shed floor?
Answer:
60 inches and he will need 4 tiles
HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW
Answer:
32ed
Step-by-step explanation:
Please answer the last one!
Answer:
Step-by-step explanation:
your in on campus school
Answer:
Yes
Step-by-step explanation:
What is the answer for number 7