5242880 insects would be present in 20 days.
The correct answer is an option (c)
What is the formula of exponential growth?"[tex]f(x)=ab^x[/tex],
where a is the initial value
b is the growth rate
x is time. "
For given question,
Suppose the function for the population growth is,
[tex]A(t)=A_0\times b^t[/tex]
A colony of insects doubles every day.
⇒ b = 2
The colony has 5 insects today.
⇒ [tex]A_0=5[/tex]
So, the exponential growth function would be,
[tex]A(t)=5\times 2^t[/tex] ...........(1)
We need to find the number of insects after 20 days,
From equation (1),
[tex]\Rightarrow A(20)=5\times 2^{20}\\\\\Rightarrow A(20)=5\times 1048576\\\\\Rightarrow A(20)=5242880[/tex]
Therefore, 5242880 insects would be present in 20 days.
The correct answer is an option (c)
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Find the distance between the two points
Answer:
7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Distance (d) = √(2 - -5)2 + (-2 - 5)2
= √(7)2 + (-7)2
= √98
= 7√2
= 9.8994949366117
what is the formula of (a+b)².
Answer: a^2 + 2ab + b^2
Step-by-step explanation:
(a+b)²=
(a+b)(a+b)=
a*a + a*b + b*a + b*b=a^2 + 2ab + b^2
4 x 4 x •••4 =
7 times
find the base
The base of the given expression will be 4.
Here, we are given that 4 is multiplied by itself 7 times, that is-
4 x 4 x 4 x 4 x 4 x 4 x 4
As anything raised to the power 1 is the number itself, the given expression can also be written as follows-
[tex]4^{1} * 4^{1} *4^{1} *4^{1} * 4^{1} *4^{1} *4^{1}[/tex]
Now, we know that when we need to find the product of 2 numbers whose bases are same, we can simply add the powers. Mathematically this can be represented as follows-
[tex]a^{n}a^{m} =a^{n+m}[/tex]
Thus, the given expression will become-
[tex]4^{1} * 4^{1} *4^{1} *4^{1} * 4^{1} *4^{1} *4^{1}[/tex] = [tex]4^{1+1+1+1+1+1+1}[/tex]
= [tex]4^{7}[/tex]
Thus, we see that when 4 is multiplied 7 times, the base comes out to be 4 only.
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Write an equation that can be used to calculate d,the distance traveled by Anthony in m minutes.use your equation to determine how far Anthony will have run after 7 minutes.
Answer:
C I think. Sorry if it's incorrect but I pretty sure it isn't.
How many batches if each person gets a 1/2 cup for 240 people?
Depends on how many people you are serving. If you are serving say 960 people it would be 4 batches or 2 cups.
Answer:
120
Step-by-step explanation:
1/2×240= 120
or half of 240 cause 1/2 is half of 1
The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.
Answer: x=y+5
Step-by-step explanation:
Add 5 to both sides:
y+5=x-5+5
y+5=x
Answer:
x=y+5
Step-by-step explanation:
y=x-5
move 5 to the other side of the equation we sign changes
y+5=x
rearanging makes
x=y+5
PLEASE HELP!!
Which equation is equivalent to
-3(-x - 2) = 0?
A. 3x + 6 = 0
B. 3x - 5 = 0
C. -3x + 6 = 0
D. -3x - 5 = 0
Answer:
A. 3x+6= 0
Step-by-step explanation:
When you divide - 3 with -x, you will get a positive value and same goes for - 3 and - 2
So that is how you get the answer 3x+6= 0
There are 11 marbles in a bag: 8 are blue, 2 are white, and 1 is green. If one marble is drawn, what is the
probability that it is either blue or green?
What is the r-value of the following data to three decimal places?
Answer:
.953
Step-by-step explanation:
took it on a test and got it right
Answer:
.953
Step-by-step explanation:
A HARD DRIVE COST 225,plus 40 hours per hour
Solve. 21<7 can someone help
false
Step-by-step explanation:
Find a polynomial, which, when added to the polynomial
3x2 + 3x – 1, is equivalent to the following expressions. Make
a conclusion. Make up the rule.
1
Answer:
-3x^2-3x+2
Step-by-step explanation:
3x^2+3x-1+(-3x^2-3x+2)=1
3x^2+3x-1-3x^2+3x+2=1
I know its the weekend but i really need help
Answer:
0
Step-by-step explanation:
because you have 3 1/4 - 2 2/3 it would really be something like .666666 or .33333 because you have 1 1/2 after subtracting the whole numbers, the subtracting the fractions would end in a decimal closest to 0
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
0 - 10,000
10,001 - 50,000
50,001 - 100,000
Progressive
Tax Rate
3%
5%
5.5%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
The state income tax owed on a $90,000 per year salary is $4950.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the given information we conclude that the percentage tax for
a $90,000 per year salary is 5.5%.
Therefore, The amount to be paid is,
= $(5.5/100)×90000.
= $4950.
So, An amount of $4950 has to be paid for an annual income of $90000.
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There is a committee composed of eight women and two men. When they meet, they sit in a row---the women in indistinguishable rocking chairs and the men on indistinguishable stools. How many distinct ways are there for me to arrange the eight chairs and two stools for a meeting?
Answer:
45
Step-by-step explanation:
10! / (8! * 2!)
Write the function whose graph is the graph of y=x², but is translated 4 units to the left.
y=
Help plss
Answer:
y = (x+4)²
Step-by-step explanation:
If the graph is shifted horizontally, use minus to show it moves right and plus to show it moves left (horizontal shifts go in paratheses)
Answer:
Step-by-step explanation:
[tex]y=x^2\\y_1=(x+4)^2[/tex]
*GIVING BRAINLIEST!!!*
Lynn and Heather both rented a luxury
boat at different companies. Lynn's
company chargeed $50 a minute plus
$1.30 per minute. Heather's company
charges $40 per minute, and $1.40 per minute. After how many minutes will their bills be the same? What will be the cost?
A) 10 minutes, $63
B) 100 minutes, $360
C) 100 minutes, $180
D) 10 minutes, $51
URGENT!!! a media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24 with a standard deviation of 1.38 what is the probability of a random sample of 40 households have a sample mean number of at least 2.55 televisions per household.
Answer:
0.48173
Step-by-step explanation:
Given that :
Mean (m) = 2.24
Standard deviation (s) = 1.38
Sample size (n) = 40
P(x ≥ 2.55)
Z = (x - m) / (s/sqrt(n))
Z = (2.55 - 2.24) / (1.38 / sqrt(40))
Z = 0.01 / 0.2181971
Z = 0.0458301
P(Z ≥ 0.0458) = 0.48173 ( Z probability calculator)
Please help ASAP please
NEED HELP WITH FHIS ASAP ILL GIVE BRAINLIEST
Answer:
if you divide 3 by every one of the numbers in the bigger equation you would get 3-x-4
Can someone help me please!!
(06.02)
Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)
Select one:
a. 10 + 5x
b. 5 + 10 + x
c. 10x + 5
d. 5 + 10 ÷ x
Answer:
i think it is c
Step-by-step explanation:
At a baseball training camp, a computer system plots the paths of balls hit during sessions at the batting cage and generates equations for those paths. The path of a ball hit by David is described the equation h(t)=-9-6t+3t^2 .Find how long it would take the ball to hit the ground in an open field. Solve by completing the square.
Your answer:
let f(x)= 2x+6 and g(x)= 4x-3. find (f•g)(6)
Answer:378
Step-by-step explanation:
Help!! How do I do 1 and 2
Answer:
1. The mode. 2. See below
Step-by-step explanation:
1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.
2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.
I need help!!! I am going to fail if I don't!!! I will mark you brainiest.
Room and board charges for on-campus students at the local college have increased 2.3% each year since 2000. In 2000, students paid $5,783 for room and board.
Write a function to model the cost C after t years since 2000.
If the trend continues, how much would a student expect to pay for room and board in 2017? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
C = 5785.39
Step-by-step explanation:
C = 5,785 + .023t
.023 * 17 = .391
.391+ 5785 = 5785.391
hope this helps
What does p equal in 4 - 3p = 22.
Answer:
p is equal to -6
Step-by-step explanation:
solve the given equation:
4 - 3p = 22 subtract 4 from both sides
-3p = 18 divide both sides by -3
p = -6
hope it helped have great day :)
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4 - 3p = 22
Step 2: Solve for p
Subtract 4 on both sides: -3p = 18Divide -3 on both sides: p = -6Step 3: Check
Plug in p into the original equation to verify it's a solution.
Substitute in p: 4 - 3(-6) = 22Multiply: 4 + 18 = 22Add: 22 = 22Here we see that 22 does indeed equal 22.
∴ p = -6 is a solution to the equation.
An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government
Answer:
It's not A or D it has to be B or C.
Step-by-step explanation: i just took the quiz on edge and it wasn't A or D.
Answer:
Its B
Step-by-step explanation:
please help it is due today
Answer:
5/6
Step-by-step explanation:
82% into decimal is 0.82
while 5/6 is 0.83
according to the number line system, 0.83 is greater than 0.82.
Please help due by 9:30
If you get it right +20 points
Answer:
ad=DC is your answer.....