My problem is I don't know how to write an equation into exponential growth, or exponential decay.
To further explain, here is the math problem:
Rewrite y = 2(1.06)^9t in the form y = a(1+r)^t or y = a(1-r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
I have a 2nd math problem that's just like this, but with a different equation. Can anyone help me and also teach me the way to find the answer? My notes does not cover this.
This is exponential growth
==========================================================
Explanation:
The exponential rule we need is: a^(b*c) = (a^b)^c
Apply that rule and do a bit of rearranging:
y = 2(1.06)^(9t)
y = 2( (1.06)^9 )^t
y = 2( 1.68948 )^t
y = 2( 1 + 0.68948 )^t
y = 2( 1 + 0.69 )^t
The last equation fits the format of y = a(1+r)^t which tells us that...
a = 2r = 0.69 approximatelySince r is positive, we have exponential growth. If r was negative, then we'd have exponential decay.
Only need E. 3. And A and B try to show work if you can
Answer:
Step-by-step explanation:
3: a75+35+x=180
x=70°
b: x=y, 70=70
Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
6
338
365
3,300
Answer:
338
Step-by-step explanation:
55miles/h,
it would take 310/55 =62/11 h to reach syracuse
62/11 h = 338.181818mins ≈ 338mins
Please Helppppppppppppppppppppppp
Answer:
constant 1: 1/15constant 2: 15they are inverses of each otherStep-by-step explanation:
There are two ways to write the relationship, hence two constants of proportionality.
1.d = kt
k = d/t = (2 mi)/(30 min) = 1/15 mi/min
2.t = kd
k = t/d = (30 min)/(2 mi) = 15 min/mi
__
As you can tell from the way the constants are computed, they are reciprocals of each other.
A sphere has a radius 4 cm. What is its volume, to the nearest cubic cm? Write your answer to the nearest 10th place and use 3.14 for π???? HELPPPPP ASAP PLEASE!!!!!!!!!!!!!!!AND THANKS
Answer:
267.95
Step-by-step explanation:
Sphere Volume = 4/3 π r³
= 4/3 × 3.14 × 4³
= 803.84/3
= 267.94666...
= 267.95
(probability) in 7-card hands what is the probability of having exactly 3 aces? of exactly 3 of a kind?
a) The probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.
b) The probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.
The probability of drawing a specific card from a deck of 52 cards is 1/52.
a) To find the probability of having exactly 3 aces in a 7-card hand, we can use the binomial distribution:
P(exactly 3 aces) = (number of ways to choose 3 aces from 4 aces) * (number of ways to choose 4 non-aces from 48 non-aces) / (number of ways to choose 7 cards from 52 cards)
= (4C3 * 48C4) / 52C7
= (4 * 194580) / 133784560
= 0.005755
Therefore, the probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.
b) To find the probability of having exactly 3 of a kind in a 7-card hand, we can use the following steps:
Choose the rank of the 3 of a kind (13 options)Choose 3 suits for the chosen rank (4C3 options)Choose 4 ranks from the remaining 12 ranks (12C4 options)Choose 1 suit for each of the 4 remaining ranks (4 options each)Multiply the number of options from each step to get the total number of hands with exactly 3 of a kind.The total number of 7-card hands is 52C7 = 133,784,560.
Therefore, the probability of having exactly 3 of a kind in a 7-card hand is:
P(exactly 3 of a kind) = (13 * 4C3 * 12C4 * 4^4) / 133784560
= (13 * 4 * 495 * 256) / 133784560
= 0.02113
Therefore, the probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.
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At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students took the bus?
225
252
351
157
which one ^
Answer:
252
Step-by-step explanation:
600X42%=252
Select the function that is odd.
A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)
Find the distance between the pair of points.
E(−5, 5) and F(2, 5)
whoever is correct gets brainliest
Answer:
5.099
Step-by-step explanation:
Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.
5.
a) A builder planned to build houses. Each
house will be built on
of an acre. How
much land would be needed for houses?
Show your work.
Divide
b) The builder began with 10 acres of land.
After houses were built, how much land
was left unused?
(No links No files help asap)
Answer:
For 7 houses you will need 5.83 acres of land and the builder will have 4.16 acres of land unused
Step-by-step explanation:
YuCOLIU!
Hannah has a chemistry final next week. Find the mean of the following list of hours she studied for the final in the last few
days.
13, 12, 11, 10, 7, 14, 12, 17
Provide your answer below:
mean
hours
E FEEDBACK
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The mean number of hours Hannah studied for her chemistry final in the last few days is 12 hours. To find the mean of the hours Hannah studied, you need to add up all the hours and then divide by the number of hours she studied. In this case, she studied for 8 days, so the mean can be calculated as follows: (13 + 12 + 11 + 10 + 7 + 14 + 12 + 17) / 8 = 12.5
Therefore, the mean of the hours Hannah studied for her chemistry final in the last few days is 12.5.
The given list of hours studied is: 13, 12, 11, 10, 7, 14, 12, 17.
First, let's add up these numbers: 13 + 12 + 11 + 10 + 7 + 14 + 12 + 17 = 96 hours.
There are eight days in total (as there are eight numbers in the list). Now, divide the total hours (96) by the number of days (8) to find the mean: Mean = 96 / 8 = 12 hours.
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The parallelograms with opposite sides equal and diagonals
equal are _________ and _____________
Answer:
It is also a rhombus and a square!
Step-by-step explanation:
order these from least to greatest
9, 3, π
Answer:
3 pi 9
Step-by-step explanation:
building a new home in building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is and of selecting a one-car garage is . find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages.
If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.
Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:
P(A) = n(A)/n(S)
Where:
n(A) = number of ways the event A can occur
n(S) = number of all possible outcomes.
Suppose there are 3 possible outcomes, A, B, C, then:
P(S) = P(A) + P(B) + P(C) = 1
In the problem, let's define the events:
A = buyer will select a one-car garage
B = buyer will select a two-car garage
C = buyer will select no car garage
We have:
P(A) = 0.2
P(B) = 0.7
Hence,
P(A) + P(B) + P(C) = 1
0.2 + 0.7 + P(C) = 1
P(C) = 1 - 0.9 = 0.1
Therefore, the probability that the customer will choose no garage option is 0.1
Your question is incomplete, most likely it was:
In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages
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help plssssssssssssssssssssssssssss
Answer: First Picture 100:60 = The answer is A. 5:3 | The Second Picture K/12=8/24 the answer is A. k=4 | Third Picture is A. 4 | Fourth Picture answer is B. 4 teachers for every 64 students | And Final Picture answer is D. 9.33 miles per hour, Wendy Was Faster. | Hope this helps out today!!
Step-by-step explanation: Its simple math its just either x2 or what's it divided off
HELP DUE IN 10 MINUTES!!
Solve for x.
-2(-3x + 4)+ 3x - 3 = - 29
Answer:
x = -2
Step-by-step explanation:
6x - 8 + 3x -3 = -29
9x = - 18
x = -2
What is the point-slope equation of the line that is perpendicular to the line shown and passes through (-4, -3)?
Answer:
y+3= -4x
Step-by-step explanation:
general equation is (y-y1) = m(x-x1)
m=rise/run= -4/1 (is negative because looking from left to right on the graph it goes downward)
pick any point on the line to put in. the equation for example (0,-3)
y+3= -4x
Calculator
not allowed
Second chance! Review your workings and see if you can correct your mistake.
Bookwork code: P94
The number line below shows information about a variable, m.
Select all of the following values that m could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
All of the values that m could take include the following: -3.5, -5, and -7
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.
This ultimately implies that, all number lines would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).
From the number line shown in the image attached below, we can logically deduce the inequality:
x ≤ -3
Therefore, the numerical values for x could be equal to -3.5, -5, and -7
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person
Answer:
People who bought tickets = 100%
= 8000
People who bought their tickets in person = (100%-60%-15%) × 8000
= 2000
The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.
The number of the tickets will be calculated as below:-
Total tickets = 8000
Online tickets = 60% of 8000 = 8000 x 0.6 = 4800
By phone = 15% of 8000 = 8000 x 0.15 = 1200
In-person = 25% x 8000 = 0.25 x 89000 = 2000
Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
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Help me please jxsjjsjsjs
Answer: 120
Step-by-step explanation:
Sum of angles in triangle is 180
x = 180 - 30 - 30 = 120
which set of angle measures CANNOT be the angle measures of a triangle
A. 65°,65°,50°
B. 54.3°, 47.5°,78.2°
C. 22.5°, 36.4°,110.1°
D. 40°,40°,100°
Answer:
C cannot make a triangle
Step-by-step explanation:
One of these choices does not have 3 angles adding to 180.
A) adds to 180 degrees
B) B also adds to 180 degrees.
C) Adds to 169 degrees, so this set of 3 does not make a triangle.
D) Adds to 180
The congruence relation is used to define __________ . finite groups greatest common divisor lowest common divisor residue classes
The congruence relation is used to define residue classes.
Congruence is an important idea in algebra that is often used to describe equivalence classes of integers modulo some integer n. A congruence relation on a set of integers is a binary relation that reflects equality modulo some integer n. Specifically, if a and b are two integers, then we say that a is congruent to b modulo n, or a ≡ b (mod n), if a - b is divisible by n.
The congruence relation is used to partition the set of integers into equivalence classes that are referred to as residue classes. Each residue class is represented by a single integer that is congruent to all the other integers in the class. In other words, a residue class is a collection of integers that have the same remainder when divided by n. There are exactly n residue classes modulo n, each of which is represented by a unique integer from 0 to n-1. Residue classes are used extensively in number theory and algebraic geometry, where they are used to study systems of equations and algebraic curves.
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Please help me(ik it’s not C)
I think the correct answer is B :)
If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars,what is the minimum possible number of miles traveled by the car with the most mileage
Answer:
60001 miles
Step-by-step explanation:
Given
\(Total\ Distance = 180000\)
Let the cars be: \(Car\ A, Car\ B\ and\ Car\ C\)
Assume that Car A has the minimum mileage of x.
\(Car\ A = x\)
The other cars would be:
\(Car\ B = x + 1\)
\(Car\ C = x + 2\)
This implies that Car C has the highest mileage
Required
Determine the possible minimum number of miles
Since the total distance is 180000, then:
\(Car\ A + Car\ B + Car\ C = 180000\)
Substitute values for Car A, B and C
\(x + x + 1 + x + 2 = 180000\)
Collect Like Terms
\(x + x + x = 180000-1-2\)
\(3x = 179997\)
Divide both sides by 3
\(\frac{3x}{3} = \frac{179997}{3}\)
\(x = \frac{179997}{3}\)
\(x = 59999\)
The car with the most mileage is Car C
So:
\(Car\ C = x + 2\)
Substitute 59999 for x in \(Car\ C = x + 2\)
\(Car\ C = 59999 + 2\)
\(Car\ C = 60001\)
The minimum distance travelled by Car C is 60001 miles
What is a TRUE statement about who is affected by the stock market?
- No one is affected by the stock market.
- Only big companies are affected by the stock market.
✅All people are affected by the stock market.
- Only investors are affected by the stock market.
Answer:
all people are affected by the stock market
Answer:
C. All people are affected by the stock market.
Step-by-step explanation:
Plato Users
Complete the following proof by providing the reason for each statement.
A company was contemplating the installation of a flexitime schedule in which a worker schedules his or her work hours. The Managing Director wishes to carry out a survey on all its employees. The company's workforce was asked to submit a tentative flexitime schedule. The Managing Director wishes to test the hypothesis that the population mean work hours per day is 7 against the alternative that the mean is 7.5 hours. The survey requires that the probability of a Type I error is 0.08 and the probability of a Type II error is 0.25 assuming that the standard deviation was 2.5 hours. Explain fully the terms in italics. (6 marks) Given that the critical region takes the form # > C, determine the sample size that the Managing Director should take and the critical value c needed for this survey. (10 marks) Calculate the power of this test and comment on how this value might be affected if the sample size increased. (4 marks)
The power of the test is 0.75, which means that there is a 75% chance that the test will correctly reject the null hypothesis when it is false.
In statistical hypothesis testing, the null hypothesis is rejected when it is actually true. This mistake is known as a type I error or alpha error, and the probability of committing this mistake is called the level of significance, alpha. Type II error: In statistical hypothesis testing, the null hypothesis is retained when it is actually false. This mistake is known as a type II error or beta error, and the probability of committing this mistake is called the beta level, β.
The number of observations, n, in a sample is referred to as the sample size. The sample size is critical in determining the power of the test. Critical Value: A critical value is the dividing point between the parameter values for which the null hypothesis is rejected and those for which it is not. It separates the region of acceptance from the region of rejection. When the test statistic is greater than the critical value, we reject the null hypothesis.
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Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?
0 and 2
Step-by-step explanation:
If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.
In a company 70% of the workers are men if 1,080 of the workers aren't mentioned
Answer:
is there any more details?
Step-by-step explanation:
Answer:
any more details please?