Answer:
Step-by-step explanation:
hello :
An = 10 -10/2^n
the first 4 terms are :
A1 = 10 -10/2^1 = 10-5
A1 = 5
A2 = 10 -10/2^2 = 10-10/4 = 10-5/2 = (20-5)/2
A2 = 15/2
A3 = 10 -10/2^3 = 10-10/8 =10- 5/4 = (40-5)/4
A3 = 35/4
A4 = 10 -10/2^4 = 10-10/16 = 10-5/8 = (80-5)/8
A4 = 75/8
The function f(x)=2000(1.05)^(x) models a population of butterflies after x years. What will the population be in 7 years? plz help quick
Answer:
About 2,800.
Step-by-step explanation:
2,000(1.05)^x
x =7.
2,000(1.05)^7
find 1.05 to the power of 7, which is 1.4071....
then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.
The population of butterflies after 7 years will be approximately 2814 butterflies.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.
Here, the initial population is 2000.
To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:
f(7) = 2000(1.05)⁷
Using a calculator, we get:
f(7) ≈ 2814
Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.
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A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Amount of decrease = 82-60 = 22
percentage decrease = 22/82 ≅ 0.268 = 26.8%
This data gives the average number of hours different students spend on the computer each day.
Average time (hours): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0
Create a line plot to display this data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
Answer:
2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20
Step-by-step explanation:
I took the test <>_<>
find the area of the composite figure.
Answer:
24
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Hellllllllppppp meeeee
Answer:
x=18°
Step-by-step explanation:
5x-18=4x
subtract 4x from both sides
x-18=0
add 18 to both sides
x=18°
Will mark brainliest!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.
Answer:
y = 0.44 x - 0.1
Step-by-step explanation:
Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 1 ) / (27.5 - 2.5) = 0.44
Now we use this slope to complete the equation of the line through those points:
y = 0.44 x + b
1 = 0.44 (2.5) + b
1 = 1.1 = b
b = 1 - 1.1
b = - 0.1
Therefore, the equation of the line becomes:
y = 0.44 x - 0.1
Answer:
y = 0.44x + 0
Step-by-step explanation:
I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.
(2.5,1) and (27.5,12)
To find slope I am going to calculate change in y over change in x.
12 - 1 over 27.5 - 2.5 = 11/25 = 0.44
So far we have y = 0.44x + 0
To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"
We get that the y intercept equals 0.
y = 0.44x + 0 or just y = 0.44x
I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!
A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was worn?
Answer:
15%
Step-by-step explanation:
PLS ANSWER ASAP THIS QUESTION IS WORTH ABOUT 50 POINTS PLS ANSWER PROPERLY PLS PLS
Raul paid $48 for a sweater. He also paid a 7% sales tax. How much was the tax and what was they total cost
Answer:
Tax: $3.36
Total Cost: 51.36
Step-by-step explanation:
First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36
Plz mark as brainliest :D
3(x + 5) + 2(x – 4)
thank you if you answer this question
Answer:
5x + 7
Step-by-step explanation:
Distribute 3x + 15 + 2x - 8
Combine like-terms 5x + 7
Answer:
5x + 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x + 5) + 2(x - 4)
Step 2: Simplify
Distribute: 3x + 15 + 2x - 8Combine like terms (x): 5x + 15 - 8Combine like terms (Z): 5x + 7A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?
a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5
Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
Step-by-step explanation:
Let p represent the proportion of all households in the city that gave a charitable donation in the past year.
Reseracher wants to check whether p > 50% or p > 0.5
Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.
So Null hypothesis: [tex]H_o: p=0.5[/tex]
Alternative hypothesis: [tex]H_a:p>0.5[/tex]
The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].
No it's not is 67 and 23
Answer:
What?
Step-by-step explanation:
I don't understand.
What is the sum of 1 2 + 1 4 12+14? Use the fraction strip to help.
Answer:
6/8 or in simple terms, 3/4
Step-by-step explanation:
[tex] \frac{1}{2} + \frac{1}{4} \\ = ( \frac{1}{4} + \frac{1}{4} ) + \frac{1}{4} \\ = ( \frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) \\ = ( \frac{2}{8} ) + ( \frac{2}{8} ) + ( \frac{2}{8} ) \\ = \frac{6}{8} \\ = \frac{2 \times 3}{2 \times 4} \\ = \frac{3}{4} [/tex]
The given operation of the two fractions can be found as 6/8. The correct option is (D).
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
The given expression is 1/2 + 1/4.
It can be solved using the strip given as below,
The number of 1/8 sections under 1/2 in the strip is 4.
And, the number of 1/8 sections under 1/4 in the strip is 2.
Then, the addition of the two fractions is equivalent to the total number of 1/8 sections under both of them.
It can be written in mathematical form as,
⇒ 1/2 + 1/4
⇒ 4 × 1/8 + 2 × 1/8
⇒ 6/8
Hence, the required sum of the given fractions can be evaluated as 6/8.
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√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4
Answer
Step-by-step explanation: =/
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
1)105°
2) 45°
3)63°
4)108°
5)68°
Step-by-step explanation:
Hope this helps! :)
someone answer this pls-
Answer:
c
Step-by-step explanation:
Answer:
C. $37.39
Step-by-step explanation:
We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.
To solve, all we have to do is subtract and add the price of stock per each day.
$37.69
On Tuesday, the stock price went up by $0.69 cents.
So we must add .69 to 37.69
37.69 + .69
38.38
On Wednesday, the stock price lowered by 82 cents.
So we subtract .82 from 38.38
38.38 - .82
37.56
On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.
37.56 + .37
37.93
On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.
37.93 - .14
37.79
6(3y + 2) + 8(4y + 3) + 6y =
6(3y+2) + 8(4y+3) + 6y =
Distribute:
18y + 12 + 32y + 24 + 6y =
Combine like terms:
56y + 36
lowest common factor of 72 and 108
Answer:
The lowest common factor of 72 and 108 is 216
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
38.5 in squared
Step-by-step explanation:
Simplify -6X - 3 + 2x +1
Show Your Work
The graph of the function f is shown. f(3) =
Answer: f(3) is 5.
Step-by-step explanation:
The value of the function f(3) is 5 from the given graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the value of f(3) from the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The value of f(3) is 5.
To find this we have to draw a perpendicular line at x=3.
Now let us check the corresponding point of y where the point and perpendicular line intersect.
Hence, the value of the function f(3) is 5 from the given graph.
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In the evening, a water tank contained 30cm of water. A few days later, it contained 21 cm of water. Ahmed claims that there is a 30% decrease. is Ahmed correct
The product of an irrational number and a rational number will be
Answer:
an irrational number
Step-by-step explanation:
what is the approximate area of the circle below?
3/5 x 3/5 is equal to 3/5 , since 3/5 is being multiple by a value equal to 3/5 true or false ?
if anyone knows the answer
Answer:
C. (x + 8) ( x - 8)
Step-by-step explanation:
x² - 64
= x² - 8²
= (x + 8) ( x - 8)
Hope it will help :)
Find the exact length of the 3rd side 2 7
g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)
Answer:
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Step-by-step explanation:
For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Sampling with replacement:
I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]
We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]
With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.
Sampling without replacement:
150 + 50 = 200 total balls, so [tex]N = 200[/tex]
Sample of 4, so [tex]n = 4[/tex]
50 are black, so [tex]k = 50[/tex]
We want P(X = 2).
[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]
Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.
Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.
Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
(-5x+4) + -1 (x - 1)
Answer:
-6x+5Step-by-step explanation:
I assume you want to simplify this expression.
First take away the parenthesis.
-5x+4+-1x+1
Now combine like terms.
-5x+-1x=-5x-1x=-6x.
4+1=5
So -6x+5 is your answer.
