11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
what is the domain of h
h: The domain
-5 ≤ x ≤ 5
Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.
Answer:
78.54
Step-by-step explanation:
8 * 2 + 10 / 2 - 3 + 456643 *4 - 36 squared / 18 + 0 = ???????
Answer:
1.826.522
Step-by-step explanation:
16 +5 -3 + 1826572 + 4 -72 = 1.826.522
Algebra Question
Question attached in photo
Answer:
\(1. \: 9tx {}^{2} - 3tx - 2t \\ \\ 2. \: 3tx {}^{2} + 2tx + 2t\)
Step-by-step explanation:
\(1. \: t(9x {}^{2} - 3x - 2) \\ 2. \: 9tx {}^{2} - 3tx - 2t \\ \\ \\ 1. \: t \times 3x {}^{2} + t \times 2x + t \times 2 \\ 2. \: 3tx {}^{2} + t \times 2x + t \times 2 \\ 3. \: 3tx {}^{2} + 2tx + t \times 2 \\ 4. \: 3tx {}^{2} + 2tx + 2t\)
Find the maximum area of a rectangle that is inside of the triangle forms by the x-axis and the lines y=-3x+12 and y=3x+12. The base of the triangle is on the x-axis and the two upper verticies are on the lines y=-3x+12 and y=3x+12.
With this question. Obviously the are of the rectangle is lw or xy... I have figured out that x = (8-2x) and y=(12-y). Im not sure of the next step.. Could someone help?
The maximum area of rectangle is 24, that can be calculated using the derivatives.
The area of rectangle = length * breadth,
The length of the rectangle is 2x units and the breadth is 3x+12 units,
So, A(x)=2x*(-3x+12)
=2x(-3x+12)
=-6x^2+24x
The derivative A'(x)=0
-12x+24=0
x=+2
Therefore, x=+2 is the critical point.
The second derivative.
The 2d derivative measures the immediately rate of alternate of the 1st derivative. The signal of the second derivative tells us whether or not the slope of the tangent line to is growing or decreasing.
A"(x)=-12<0
By the second derivative test, A(x) has maximum value at x=+2
Thus, the maximum are is
A(x)=2x(-3x+12)
A(2)=2(2)(-3(2)+12)
=4(6)
=2
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find the average if the sum is 2052 and the count is 5
410.4
5|2,052.00
2,502/5 = 410.4
410.4 rounded is 410.
The average is 410.
Let me know if this is the correct answer. :)Determine whether each function is linear or nonlinear. Function Linear Nonlinear {(–1, 2), (0, 3), (1, 4), (2, 5)} Linear – {(–1, 2), (0, 3), (1, 4), (2, 5)} Nonlinear – {(–1, 2), (0, 3), (1, 4), (2, 5)} {(–3, 9), (–2, 4), (3, 9), (4, 16)} Linear – {(–3, 9), (–2, 4), (3, 9), (4, 16)} Nonlinear – {(–3, 9), (–2, 4), (3, 9), (4, 16)} y = –14x + 9 Linear – y = –14 x + 9 Nonlinear – y = –14 x + 9 y = x Linear – y = x Nonlinear – y = x
A. {(–1, 2), (0, 3), (1, 4), (2, 5)} → Non-linear function.
B. {(–3, 9), (–2, 4), (3, 9), (4, 16)} → Non-linear function.
C. y = –14x + 9 → Linear function
D. y = x → Linear function
What is a linear function?A linear function has a straight line as its graph. A linear function has the form shown below.
a + bx = y = f (x).
A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.
When the absolute value of the input value of the function is connected to more than 1 output value, then the function is linear else it is a non-linear function.
From the given choices;
A. {(–1, 2), (0, 3), (1, 4), (2, 5)}
Here, the absolute value of 1 is connected to more than one point, so non-linear function.
B. {(–3, 9), (–2, 4), (3, 9), (4, 16)}
Here, the absolute value of 3 is connected to more than one point, so non-linear function.
C. y = –14x + 9 is equivalent to the slope-intercept form of linear function y = ax + b.
D. y = x is a linear function.
Therefore, B and D are linear functions.
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A plant grows 0.5 inches each week. The plant was 2 inches tall to start. How tall will the plant be after 1 month (4 weeks)?
Answer:
4
Step-by-step explanation:
0.5 inches * 4 weeks = 2 inches after 1 month
Then add the 2 inches ( how tall it was before)
2 In + 2 In = 4 inches
e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
7
8
10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?
Answer:
3.42 times.
Step-by-step explanation:
We can simply see how many times greater the numbers are from one another.
927,645/271,461 = 3.41723120448 about 3.42 times.
in a popular shopping Centre waiting time for an ABC bank ATM machine is found to be uniformly distributed between 1 and 5 minutes what is the probability of waiting between 2 and 4 minutes to use the ATM
so here we get two outcomes one is 2 and other is 4.
so there is total 2 outcomes.
total no. of possibility is 5
so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house?
Answer:
Draw perpendicular bisectors of two the sides
Step-by-step explanation:
The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.
The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.
Answer:
The answer is C
Step-by-step explanation:
EDGE2020
which expression is a difference of a number and a product
7 + x
10-8x
8 + x - 2
4(x +7)
Answer:
10-8x
Step-by-step explanation:
because it is 10 minus 8x
but 8x is 8 times x
plz brainliest :)
Answer:
10-8x
Step-by-step explanation:
Please help due today!
Answer:
FEG = 67
Step-by-step explanation:
DEG = DEF + FEG
labeling FEG as x to make it simpler while calculating the answer
115 = 48 + x
115 - 48 = 48 - 48 + x
67 = 0 + x
67 = x
67 = FEG
15.) Use square ABCD. If BC = 21, find AC. Round your answer to the
nearest tenth if needed.
*PLEASE HELP, ILL GIVE GOOD REVIEWS SND EXTRA POINTS, I NEED HELP ASSAP*
Answer:
Hope this helps you!
AC= 29.7
Assume that by contributing your education you increase your yearly earning potential from 21,484 to 39,746 if the additional education cost $36,000 in about many years, will a it pay for itself
Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.
To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.
The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.
To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).
Payback Period = Cost of Education / Annual Increase in Earning Potential
Payback Period = $36,000 / $18,262
The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.
If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.
In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.
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Solve the equation for x. −15x−50=25
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The median is the measurement that is the same for Charles and Jermod.
In a dot plot, the median represents the middle value when the data points are arranged in ascending or descending order.
From the given dot plots, we can see that both Charles and Jermod have their median values at 35 minutes per day.
Therefore, the median is the measurement that is the same for Charles and Jermod.
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If you share seven apples equally with three people, there are 2 1/3 first complete the sentence then briefly explain what a whole number to the denominator of three and the numerator one mean in this problem
The meaning is that "If you share seven apples equally with three people, there are 2 1/3 apples for each person."
How to explain the fraction with a denominator of 3In this context, a "whole number to the denominator of three and the numerator one" refers to the fact that when the seven apples are divided equally among the three people, each person receives a whole number of apples, plus a fraction.
The denominator of the fraction is three because there are three people sharing the apples,
Tthe numerator of the fraction is one because each person receives one of the three equal parts.
The fraction 1/3 represents the amount of the seventh apple that each person receives. So, each person receives 2 whole apples and 1/3 of another apple, for a total of 2 1/3 apples.
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75 is what percent of 150
75 is what percent of 150
Explanation:Percentage Calculator:75 is what percent of 150=50
Answer:50
Answer:
75 is 50 percent of 150.
Step-by-step explanation:
This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.
There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.
If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)
We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.
After that you will find that the equation shows the value x = 50. You have now found the value of x.
I hope this helps :)
Determine how long it will take for a principal amount of $1,500 to become double its initial value when deposited into an account paying interest at a rate of 13%, continuously compounded.
A.
5.33 years
B.
6.32 years
C.
11.25 years
D.
14.33 years
c is incorrect
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
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The price for video game A is $14 more than the price for video game B. If the total of these two prices is $50, find the price of each game.
the cost for video game A is $
The cost for video game B is $
(Type integers or decirtals.)
Answer:
A = $32
B = $18
Step-by-step explanation:
50 - 14 = 36
36 ÷ 2 = 18
18 + 14 = 32
18 + 32 = 50
The cost for video game A is $32
The cost for video game B is $18
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
price for video game A is $14 more than the price for video game B.
let the price of video game B is x
Then price for video game A = x+14
Total cost of both game = 50
x+x+14= 50
2x= 36
x=18
Hence, cost for video game A is $32 and cost for video game B is $ 18
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Which of the following is the graph of y = negative (x minus 2) cubed minus 5?
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
Answer:
NOT D graph 4
Step-by-step explanation:
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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What is 20 yards to meters? pls tell me how you got the answer
Answer:
the answer is 18.288
Step-by-step explanation:
meters=yards X 0.9144
so you do 20 X 0.9144
and you type that into the calculator and you will get 18.288
What is the inverse of fx) =
-x+ 2?
O h(x) =
) = 4x+2
O h(x) = = -x-2
3
O h(x) = 3x - 2
h(x) = 3x - 6
Note: Your statement and answer options are a little ambiguous, so I am assuming you want to determine the inverse of f(x)=-x+2.
As the process is the same, so it would still clear your concept.
Answer:
\(\mathrm{Inverse\:of}\:-x+2:\:\:2-x\)
Step-by-step explanation:
Given the function
\(f(x)=-x+2\)
We know that a function h is the inverse function of f if for y=f(x), x=h(y)Determining the inverse
\(y=-x+2\)
Replace x with y
\(x=-y+2\)
solve for y
\(y=2-x\)
Therefore,
\(\mathrm{Inverse\:of}\:-x+2:\:\:2-x\)