Answer:
C
Step-by-step explanation:
The following equation defines the population t years after 2010,
P = 45230(1 + 0.02[tex])^{t}[/tex].
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and sx is the time period.
Given:
The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.
The formula;
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
That means,
P = 45230(1 + 0.02[tex])^{t}[/tex]
Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]
To learn more about the exponential growth;
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Blake is cutting a piece of rope into fourths. if each piece is 16 inches long, what is the length of the entire rope?
Answer:
64inches.
Step-by-step explanation:
Let x represent the length of entire rope.
Division Equation:
\frac{x}{4} = 16
\frac{x}{4} X 4 =16x4 (Multiply each side by 4)
x=64
Therefore, length of entire rope is 64 inch.Pls help me on this due in 10 mins
Answer:
A, E, G
Step-by-step explanation:
Answer:
A
E
G
Step-by-step explanation:
When you divide A, E, and G with the common factor, they all equal 5 : 9
the sum of three times the square of a number and -7
Answer:
3x² - 7
Step-by-step explanation:
3 times (number squared) and sum with (-7)
3 times x² and add (-7)
3x² + (-7)
3x² - 7
please give the answer and explain
I beg yall i am giving all my points
please help please I will make brainliest please
Answer:
I think u add those numbers up because it's saying figure out the volume below. it must be adding.
Step-by-step explanation:
so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
Round to the nearest hundredth 94.855
please help!!! thank you!!!
uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...
help me please
I need fast
Answer:
48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48
Question 3 (5 points)
(02.01 MC)
Which of these is a positive externality of carpooling with friends to work?
оа
Reduced commute time
Ob
Reduced driving focus
Ос
Reduced traffic on the road
Od
Reduced time to socialize
Answer:
reduced traffic on the road
Step-by-step explanation:
just took the test :)
Answer: C) Reduced traffic on the road
Step-by-step explanation: Ive taken this test
2x+ 20 + 3x +40 =
60 + 5X
(30)Points
Which Statement is true
A,
B.
C.
D.
Answer:
The first answer one is true
PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?
A table is on sale for $469, which is 33% less the regular price. What is the regular price
Answer: I think it is 67
Step-by-step explanation:
Find the area of the figure.
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
Add, simplify the answer and write it as a mixed number
A poster is 6 feet tall and 3 feet wide. What is it's perimeter?
Answer:
18 ft
Step-by-step explanation:
6 ft + 3 ft + 6 ft + 3 ft = 18 ft
Answer:
18 ft
Step-by-step explanation:
if its 6 feet tall and 3 feet wide you add 6+6+3+3
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.
Answer:
2 in each box of courseg= green chips r= red chips
3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total
Step-by-step explanation:
you have $63.50. you earn additional money by raking leaves. you purchase a sweatshirt $44.99 and you have $53.51 left. how much money did you earn raking leafs?
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
Hope this helps!
PLEASE HELPPPPPPPP !!!!!!!!!!!!!!1
Answer:
-8.45, 0.95, 8.25
Step-by-step explanation:
The easiest way to do this is to convert the fraction to a decimal, and then compare the values.
8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.
Now, let's compare values.
Numbers we need to compare: -8.45, 0.95, 8.25
The smallest number is -8.45, then 0.95, and lastly, 8.25.
Thus the answer is
-8.45, 0.95, 8.25
3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP
Answer:
We expect 17.82, that is, approximately 18 people to be universal donors.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Only about 6.6% of the American population has O-negative blood.
This means that [tex]p = 0.066[/tex]
If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?
This is E(X) when [tex]n = 270[/tex]. So
[tex]E(X) = np = 270*0.066 = 17.82[/tex]
We expect 17.82, that is, approximately 18 people to be universal donors.
so 29 is a monomial also
Answer:
yes, 29 is a monomial
Step-by-step explanation:
−3x+6=39
What is the value of x?
Answer:
x = -11
Step-by-step explanation:
−3x + 6 = 39
-3x = 33
x = -11
Step-by-step explanation:
-3x+6=39
-3x=39-6
-3x=33
x=33/-3
x=11
what is 33x2+3 who wants to zo om
Answer:
33x2=66
66+3=69
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
Find the slope of the line that passes through the following points.
(2.10) and (5.8)
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
the value of the required slope can be calculated from:
[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]
[tex]s=\frac{10-8}{2-5};[/tex]
finally,
[tex]s=-\frac{2}{3}.[/tex]
Note, the suggested option is not the only one.
please help me this is so confusing
Answer:
13.5 ft
Step-by-step explanation:
base = 18ft
To find the height, take 75% of 18
To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:
0.75 x 18 = 13.5
13.5 would be the height
Answer:
13.5?
Step-by-step explanation:
Evaluate the expression if a = -2, b= 7. and c= -3
ac + b=
Answer:
13
Step-by-step explanation:
plug in the numbers
-2(-3) + 7 = ?
6 + 7 = ?
13
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Please help me! I need this assignment due today!
Answer: i don't no the answer, but do u go to connexus acadeny
Step-by-step explanation: