Answers
Answer:
x = -2, y = (1/9)
x = -1, y = (1/3)
x = 0, y = 1
x = 1, y = 3
x = 2, y = 9
Graph B
Step-by-step explanation:
f(x) = 3ˣ
y = 3ˣ
1
y = 3⁽⁻²⁾ = ------
9
1
y = 3⁽⁻¹⁾ = -------
3
y = 3⁽⁰⁾ = 1
y = 3⁽¹⁾ = 3
y = 3⁽²⁾ = 9
I hope this helps!
Related Questions
The value of a carpet increases by 6% to $78.56. find the original value.
Answers
Step-by-step explanation:
In the figure ,angle DEF=Angle DHG=50.prove that
at a store, 4% of the eggs are cracked. if you buy a dozen (12 eggs), what is the probability that at least 1 is cracked?
Answers
If at a store 4% of the eggs are cracked and you buy a dozen, then the probability that at least 1 is cracked is 0.916
The probability that the egg is cracked = 4%
= 0.04
The probability that the egg is not cracked = 1 - 0.04
= 0.96
Total number of eggs = 12 eggs
The probability that the one egg is cracked = 12 × 0.04 × (0.96)^11
= 0.306
The probability that 0 eggs are cracked = 1 × 0.04^0 × 0.96^12
= 0.61
The probability that at least 1 egg is cracked = 0.306 + 0.61
= 0.916
Therefore, the probability that at least 1 egg is cracked is 0.916
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can square roots have a decimal value? if yes then how
Answers
working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answers
It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.
Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40
Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60
Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60
The amount of swimming pool filled in 1 minute = (60 - 40)/2400
The amount of swimming pool filled in 1 minute = 20/2400
The amount of swimming pool filled in 1 minute = 1/120
Total time taken to fill swimming pool = 1 ÷ (1/120)
Total time taken to fill swimming pool = 120 minutes
Thus, 120 minutes are required.
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A company charges a monthly fee of $31 to deliver a box of pet supplies each month. The company currently has 290,000 subscribers. For each $1 increase in price, the company loses 10,000 subscribers. How much should the company charge to maximize monthly revenue? What is the maximum monthly revenue?
Answers
Therefore the maximum revenue company will generate is $8,910,000 and thus price should be increased by $2
What is equation?In mathematics, an equation is a logical statement with two algebraic expressions on either side of the equals (=) sign. In relation to one another, the expressions on the left and right are equal. Every mathematical equation begins with the expression LHS = RHS (left hand side = right hand side). The value of a variable or quantity can be found by solving an equation. Unless the statement contains the "equal to" sign, it is not an equation.
Here,
The company charges a monthly fee of $31 to deliver a box of pet supplies each month
x be the number of subscribers and y be the price.
equation used is
Since , company currently has 290,000 subscribers. For each $1 increase in price ,the company loses 10,000 subscribers
Therefore to to maximize monthly revenue
he has to increase the price by $2
Therefore he will loose 20,000 subscribers
and the maximum revenue he will generate is
=> 270,000 * 33
=>8,910000
Therefore the maximum revenue company will generate is $8,910,000 and thus price should be increased by $2
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Graph the line that passes through the coordinates below and determine which statement is true.
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line passes
Answers
Answer:
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Suppose you deposit 1,000$ in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain 1,500$?
d. How many years will it take for the account to contain 2,000$?
Answers
Answer:
a. $1240
b. $2020
c. 8.3 years
d. 16.7 years
Step-by-step explanation:
Using the simple interest formula, I = Prt, we solve as follows.
a.
I = 1000 × 0.06 × 4 = 240
1000 + 240 = 1240
Answer: a. $1240
b.
I = 1000 × 0.06 × 17 = 1020
1000 + 1020 = 2020
Answer: b. $2020
c.
$1500 - $1000 = $500
Interest is $500
500 = 1000 × 0.06 × t
t = 8.3
Answer: c. 8.3 years
d.
$2000 - $1000 = $1000
Interest is $1000
1000 = 1000 × 0.06 × t
t = 16.7
Answer: d. 16.7 years
Answer:
Please note I have assumed the interest is compounded annually.
a) $1,262.48
b) $2,692.77
c) 7 years
d) 12 years
Step-by-step explanation:
Assuming the interest is compounded annually.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $1,000r = 6% = 0.06Substitute the given values into the formula to create an equation for A in terms of t:
[tex]\implies A=1000(1+0.06)^t[/tex]
[tex]\implies A=1000(1.06)^t[/tex]
Part (a)To calculate how much will be in the account after 4 years, substitute t = 4 into the equation:
[tex]\implies A=1000(1.06)^4[/tex]
[tex]\implies A=1000(1.2624769...)[/tex]
[tex]\implies A=1262.4769...[/tex]
Therefore, there will be $1,262.48 in the account after 4 years.
Part (b)To calculate how much will be in the account after 17 years, substitute t = 17 into the equation:
[tex]\implies A=1000(1.06)^{17}[/tex]
[tex]\implies A=1000(2.69277278...)[/tex]
[tex]\implies A=2692.77278...[/tex]
Therefore, there will be $2,692.77 in the account after 17 years.
Part (c)To calculate how many years it will take for the account to contain $1,500, substitute A = 1500 into the equation and solve for t:
[tex]\implies 1500=1000(1.06)^t[/tex]
[tex]\implies 1.5=(1.06)^t[/tex]
[tex]\implies \ln 1.5=\ln (1.06)^t[/tex]
[tex]\implies \ln 1.5=t \ln (1.06)[/tex]
[tex]\implies t=6.95851563...[/tex]
Therefore, it would take 7 years for the account to contain $1,500.
Part (d)To calculate how many years it will take for the account to contain $2,000, substitute A = 2000 into the equation and solve for t:
[tex]\implies 2000=1000(1.06)^t[/tex]
[tex]\implies 2=(1.06)^t[/tex]
[tex]\implies \ln 2=\ln (1.06)^t[/tex]
[tex]\implies \ln 2=t \ln (1.06)[/tex]
[tex]\implies t=11.8956610...[/tex]
Therefore, it would take 12 years for the account to contain $2,000.
In which of the following cases would you add 7?
07 more than a number
O descend 7 feet
O product of a number and 7
decrease of 7
Answers
Find (f + g)(x) when f(x) = x - 2 and g(x) = 2x - 7.
Answers
Answer:
3x-9
Step-by-step explanation:
Just add the two together. (x-2) + (2x-7)= 3x-9
A paper cup is in the shape of a cone, with a diameter of 2 cm and a height of 5 cm. what is the volume of a paper cup?
Answers
5.24
Explanation:
V=pi(1)^2((5)/3))
The table in the image shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work
Answers
The probability that a student in the 6th-period class watched more than 1 hour of TV is approximately 0.600.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The table in the image shows the results of a survey of students in two math classes.
Did You Watch More Than One Hour of TV Last Night?
Yes No
3rd period class 6 10
6th period class 9 6
To find P(more than 1 hour of TV | 6th period class), we need to find the probability that a student in the 6th period class watched more than 1 hour of TV given that we know they are in the 6th period class.
We can use the formula: P(A|B) = P(A and B) / P(B)
We are trying to find P(A|B), where:
A = "more than 1 hour of TV"
B = "6th period class"
We can find P(A and B) by looking at the table.
There were 15 students in the 6th-period class and 9 of them watched more than 1 hour of TV, so P(A and B) = 9/15.
We can find P(B) by looking at the table. There were 15 students in the 6th-period class, so P(B) = 15/15 = 1.
Plugging these values into the formula, we get: P(A|B) = (9/15) / 1 = 0.6
Rounded to the nearest thousandth, this is: 0.600
Thus, the required probability is approximately 0.600.
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When the following expression is written in simplest form, what is the coefficient of the variable term?
-2.5y + 8y - 10.5y
5.5
0
-21
-5
Answers
Answer: -5
Step-by-step explanation:
[tex]-2.5y + 8y - 10.5[/tex]
[tex]= 5.5y - 10.5y[/tex]
[tex]= -5y[/tex]
Hence, the answer is [tex]-5[/tex].
Answer:
D) -5---------------------------------------------
All terms have same variable of y.
Collect all terms and simplify by adding up the coefficient:
-2.5y + 8y - 10.5y = (- 2.5 + 8 - 10.5)y = (-5)y = -5yThe coefficient of the variable is -5.
solve for z
[tex]\dfrac{z}{10} =5[/tex]
Answers
[tex]\dfrac{z}{10} =5[/tex]
Multiply both sides by 10:
[tex](\dfrac{z}{10} )\times10=(5)\times10[/tex]
[tex]\fbox{z = 50}[/tex]
z/10 = 5
Multiply both sides by 10:
z/10 * 10 = 5 * 10
z = 50
50 POINTS Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want House all her savings on the book. Giselle’s grandma offers to pay some of the cost of the book for every weed she pulls in her grandma’s garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma’s garden.
Select True or False to describe each statement.
SELECT True or False
Answers
The following are the answer to each statement;
The book is $18 - TrueGiselle can earn up to $18 pulling weeds for her grandma - FalseGiselle's grandma pays her $1 for every 5 weeds she pulls - TrueGiselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds - TrueGiselle only needs to pull 18 weeds to not use any of her own money - FalseHow to interpret graph?1. The book is $18
The statement is true because the beginning of the graph represents cost before she picks any weeds.2. Giselle can earn up to $18 pulling weeds for her grandma.
This is not true because the graph shows that she is still able to earn more money from picking weeds.3. Giselle's grandma pays her $1 for every 5 weeds she pulls
This is true because the price change from $18 to $17 is $1 for 0 weeds to 5 weeds.4. Giselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds.
This is true because the amount earned for 90 weeds is equivalent to the money needed to buy the book.5. Giselle only needs to pull 18 weeds to not use any of her own money
Giselle will need to pull 90 weeds in order to not spend her own money. The statement is false.Read more on graph:
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Maggie is participating in her school reading challenge. She reads 40 books in 6 months. If 26 of the books are fiction, then what percent of the books that she read are fiction?
Answers
Answer: thus, 65% of the books were fictional.
Step-by-step explanation:
Consumer Reports rated automobile insurance companies and gave annual premiums for top-rated companies in several states. The figure below shows box plots for annual premiums for urban customers (married couple with one 17-year-old son) in three states. The box plots were all drawn using the same scale on a TI-84Plus/TI-83Plus calculator. The five-number summaries below were generated on the TI-84Plus/TI-83Plus calculators for the box plots.
Insurance Premium (annual, urban)
figure3-9.gif
3-figure-10-alt.gif
(a) Which state has the lowest premium? the highest?
---Select--- California Texas Pennsylvania has the lowest premium, and ---Select--- California Pennsylvania Texas has the highest.
(b) Which state has the highest median premium?
TexasPennsylvania California
(c) Which state has the smallest range of premiums? the smallest interquartile range?
---Select--- Texas Pennsylvania California has the smallest range, and ---Select--- Pennsylvania California Texas has the smallest IQR.
(d) Match the five-number summaries to the appropriate box plots.
California (i); Texas (ii); Pennsylvania (iii)Pennsylvania (i); Texas (ii); California (iii) Texas (i); Pennsylvania (ii); California (iii)Pennsylvania (i); California (ii); Texas (iii)Texas (i); California (ii); Pennsylvania (iii)California (i); Pennsylvania (ii); Texas (iii)
Answers
a) California has the lowest premium and Pennsylvania has the highest premium.
b) Pennsylvania has the highest median premium.
c) Texas has the smallest range of premium. California has the smallest interquartile range.
Insurance Premium:
A premium is the amount an individual or business pays for an insurance policy. Premiums are paid for policies that cover health insurance, auto insurance, home insurance, and life insurance. When the premium is paid, it becomes income for the insurance company. It also constitutes liability, as the insurer must pay for claims arising from the policy. Failure to pay individual or corporate premiums may result in the cancellation of the policy.
The insurance company actuary is responsible for determining premium payments using statistics and calculations. Determine the likelihood of encountering an event or accident requiring insurance coverage. We will also be charged for any costs associated with the coverage.
Using the above factors to determine the premium, the actuary determines the price charged by the insurance company so that the amount the actuary receives is greater than the amount the company has to pay for the claim. increase.
Information gathered by actuaries is entered into tables called actuarial tables and passed on to insurance companies who set premium prices.
From the above discussion, we get:
a) California has the lowest premium and Pennsylvania has the highest premium.
b) Pennsylvania has the highest median premium.
c) Texas has the smallest range of premium. California has the smallest interquartile range.
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survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. undergraduate major graduate schoolbusinessengineeringotherstotal yes354263140 no9110465260 total126146128400 what percentage of the students does not plan to go to graduate school?
Answers
32% of students does not plan to go to graduate school.
We have given that,
total number of college seniors is 400.
The percentage of a value of x from N total is given as,
percentage of x = [tex]\frac{x}{N}[/tex] × 100%
Therefore
percentage of students does not go to graduate level = [tex]\frac{128}{400}[/tex] × 100%
= 32%
Hence the percentage of the students does not plan to go to graduate school is 32%.
Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, protect, or process. Data collection surveys collect information from a targeted group of people about their opinions, behavior or knowledge. A survey is a method of gathering information using relevant questions from a sample of people with the aim of understanding populations as a whole.
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a survey of middle school students asked: what is your favorite winter sport? the results are summarized below. using these 545 students as the sample space, a student from this study is randomly selected. if the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?
Answers
The probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.
Given that,
A survey of middle school students asked what is your favorite winter sport so they have given the result in the table we can see.
Below is a summary of the findings. A participant from this study is chosen at random from among these 545 students, who serve as the sample space.
We have to find what is the probability that the chosen student, a grade 8 student, likes skiing over ice skating.
The total 8th grade are 180
The skiing are 171
The ice skating are 163
Probability = 180/(171+163) = 0.5389 = 53.89%
Therefore, the probability that the chosen student, a grade 8 student, likes skiing over ice skating is 53.89%.
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Three integers have a mean of 9 a median of 9 and a range of 10
Find the three integers
Answers
Since the mean of the three integers is 9, we know that (x + y + 9)/3 = 9. This equation simplifies to x + y = 0.
Since the range of the three integers is 10, we know that the difference between the largest and smallest integers is 10. The largest integer is 9 + (10/2) = 14 and the smallest integer is 9 - (10/2) = 4.
We can now set up the following system of equations to find the values of x and y:
x + y = 0
4 <= x, y <= 14
The only solution to this system of equations is x = 7 and y = -7. Therefore, the three integers are 4, 7, and 9.
which domain restrictions apply to this rational expression? x2 4x 4x2−4 select each correct answer.
Answers
Because domain restrictions apply to this rational expression, x cannot be equal to {-2, 2}.
What is domain?Domain restrictions are any points in the domain where the function will not have a value. This basically means that there is a point in the function where x will not work.
For the numerator, any value of x will suffice. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.
However, the denominator cannot be equal to zero. This is due to the fact that a fraction bar represents division, and we cannot divide by zero.
Here,
x²-4=0
Add 4 to both sides:
x²-4+4 = 0+4
x² = 4
Take the square root of both sides:
√x² = √4
x = 2 or x = -2
The x cannot be equal to {-2, 2} as domain restrictions apply to this rational expression.
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What is the half of 1.875 ? explain in detail ?
Answers
The half of the mentioned number after performing multiplication with 1/2 is 0.9375.
The half of 1.875 can be calculated by multiplying with (1/2). Half refers to two parts of one thing and hence it represented as the fraction 1/2. So, to find the half, we will multiply the mentioned number with 1/2.
Half value = 1.875 × 1/2
Now performing division and multiplication on Right Hand Side of the equation
Half value = 1.875/2
Half value = 0.9375
Thus, based on the division, the half of 1.875 is 0.9375.
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Jessica starts skiing 1.2 miles East of the ski lodge, at an elevation of 1.8 miles above sea level. She finishes 0.3 miles East of the ski lodge, at an elevation of 1.2 miles above sea level.
What is the slope of the ski slope
Answers
Therefore , the slope of the ski slope is 39.197°.
What is slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Here ,
Given:
She begins her skiing at an elevation of 1.8 miles above sea level, 1.2 miles east of the ski lodge. At an altitude of 1.2 miles above sea level, she comes to an end 0.3 miles to the east of the ski lodge.
a = 1.2 miles
b = 1.8 miles
x = 1.2 miles
y= a-b = 1.8-1.2 = 0.6 miles
=>y tan A = A1
=> arctan(-) = arctan( 0.6 )
=> 0.68413 radian
A = A1 → degree= 0.68413 * 180 /π = 39.197°
Therefore, the slope of the ski slope is 39.197°.
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A skydiver took 40 seconds to drop 120 feet. What is the skydiver’s rate of descent?
Answers
Answer: 3 ft per second
Step-by-step explanation: 40/4 120/4
10/10 30/10
1 second = 3 ft
OR
120/40=3
How to do perimeter of the given coordinates(quadrilateral)? Number 32?
Answers
Answer:
27.21 to nearest hundredth
Step-by-step explanation:
You find the lengths of the 4 sides and add them.
AB = 4 - (-2) = 6
BC = 4 - (--1) = 9
CD = √(-1-(-5)^2 + (-2-4)^2)
= √(16 + 36)
= √52
AD = 5
So, the perimeter
= 6 + 9 + 5 + √52
= 20 + √52
= 27.21 to nearest hundredth.
A person places $103 in an investment account earning an annual rate of
1.9%, compounded continuously. Using the formula V = Pert where V is
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 6 years.
Answers
Answer:
$115.4
Step-by-step explanation:
V = Pert ( Substitution p . r. t into formula )
= 103 x e^9%x6
=103 x e0.114
=115.4
describe jasper’s mistake ?? :,)
Answers
Jasper should do 8*64 and not 64/8.
The correct solution is 64*8 = 512
Hope it helps!
What would be the measure of
30°
60°
90°
None of these choices are correct.
Answers
Answer:
60
Step-by-step explanation:
both triangles are 30 60 90, angle G is made up of 2 30 degree angles
30 plus 30 is 60
The quadratic equation x2+20x+60=0
can be rewritten as the equation below, where p
and q
are constants.
(x−p)2=q
What is the value of p
?
Answers
By completing squares in the quadratic equation, we can see that the values of p and q are:
p = -10
q = 40
How to rewrite the quadratic equation?Here we want to complete squares for the following quadratic equation:
x^2+20x+60=0
Remember that the perfect square trinomial is:
(a + b)^2 = a^2 + 2ab + b^2
So we can rewrite our equation as:
x^2 + 2*10*x + 60 = 0
If we add and subtract 10^2 = 100 we will get:
x^2 + 2*10*x + 10^2 - 10^2 + 60 = 0
(x^2 + 2*10*x + 100) - 100 + 60 = 0
(x + 10)^2 - 40 = 0
(x + 10)^2 = 40
So the value of p is p = -10 (the negative sign comes because in the given equation p is being subtracted) adnt he value of q is q = 40.
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summarizing a number of survey questions into a single concept could be achieved with which type of analysis? factor analysis cluster analysis multiple discriminant analysis regression analysis
Answers
Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?
a. factor analysis
b. multiple discriminant analysis
c. multiple regression analysis
d. cluster analysis
Factor Analysis
The correct option is (a)
Now, According to the question:
Let's know:
What is factor analysis?
Factor analysis is a technique that is used to reduce a large number of variables into fewer numbers of factors. This technique extracts maximum common variance from all variables and puts them into a common score. As an index of all variables, we can use this score for further analysis.
Factor Analysis
The correct option is (a)
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The question is like this:
Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?
a. factor analysis
b. multiple discriminant analysis
c. multiple regression analysis
d. cluster analysis
Need help with these please help me
Answers
Answer: c=a2+b2=372+152≈39.92493
Step-by-step explanation:
