Answers
Answer:
[tex]a_{n}[/tex] = 5n - 22
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 12 , then
a₁ + d = - 12 , that is
a₁ + 5 = - 12 ( subtract 5 from both sides )
a₁ = - 17
Thus
[tex]a_{n}[/tex] = - 17 + 5(n - 1)
= - 17 + 5n - 5
= 5n - 22
Related Questions
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
Answers
Since they travel 65 miles per hour, you multiply 65 x 5 and you get 325! Hope I helped :)
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?
Answers
112.50/25= 4.5
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answers
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
In the diagram, lines m and n are parallel. What is the measure of w?
Answers
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
which equation represents a proportional relationship?
Answers
Answer:
y = 1 - 1/3x
Step-by-step explanation:
Suppose that you draw one card from a well-shuffled deck of 52 playing cards. What is the probability that the card that you draw is a black 7 or a black 8
Answers
The probability that the card that you draw is a black 7 or a black 8 is 1/13
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
So, the probability that the card that you draw is a black 7 = 4/52
So, the probability that the card that you draw is a black 8 = 2/26
Therefore,
the probability that the card that you draw is a black 7 or a black 8 = 4/52 - 2/26 = 1/13
Learn more about probability here;
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How many boxes with a Length/Width/Height of 1/4, 1/4, and another 1/4 would fit into a box with a Length/Width/Height of 3 1/4, 3, and 3 3/4?
Answers
9514 1404 393
Answer:
2340 small boxes
Step-by-step explanation:
Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...
(3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length
3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width
(3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height
Then the number of small boxes that would fit is ...
length × width × height = 13×12×15 = 2340
2340 cubes of size 1/4 will fit into the larger box.
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answers
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
12x64, 7th grade math
Answers
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
what is y intercept in the table
Answers
What should I name my cat? She is grey and has blue eyes
Answers
Answer:
hmm i think "frost" would be good in my honest opinon
Step-by-step explanation:
Answer:
April if she is a female. Oliver if he is a male.
Step-by-step explanation:
Which is the correct answer?
Answers
Answer:
The correct answer is y = 12x + 9
Step-by-step explanation:
There is a formula called y = mx + b where m is the slope and b is the y-intercept
The y-intercept is 9 so y = mx + 9
The slope is 12/1 or just 12 so y = 12x + 9
Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
If the volume of an object varies directly with its height, and if
the volume is 24, while the height is 3, what is k?
Answers
Answer:
24 direct proportional with height to remove proportional needs to given constant
24 = k 3
24 ÷ 3= K
k = 8
Step-by-step explanation:
value of k is 8
A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?
Answers
12 = 2a
a= 6
6 visits
Anna and Bobie joined two different swimming classes at the same time.
Anna's swimming school charged an initial amount of $70 and Bobie's charged $250. Their monthly
fees were different.
The total amount paid for in the first t months is given by (PA) for Anna and (PB) for Bobie.
Anna paid $120 and Bobie paid $264 in total for the first two months, but after some months, they
found that they have paid the same amount in total.
After how many months will their total payments be the same and how much will it be?
Answers
Answer:
It would be 10 months for the price of $320.
Step-by-step explanation:
First we need to find how much Anna's swimming charge and Bobie's charge is.
PA=70+t The price of the month equals to the starting fee and monthly charge
120=70+2t The price of 2 months times the monthly charge
50=2t
25=t is Anna's monthly charge
PB=250+t is Bobies starting price and monthly charge
264=250+2t is the month charge for Bobie after 2 months
14=2t
7=t is Bobie's monthly charge
70+25x=250+7x We need to find x which is what month will satisfy both equations
25x=180+7x Subtract 70 from both sides
18x=180 Subtract 7x from both sides
x=10 divide 18 from both sides
Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.
PA=70+25x PB=250+7x
PA=70+25(10) PB=250+7(10)
PA=70+250 PB=250+70
PA=320 PB=320
An automobile manufacturer claims that their van has a 46.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 140 vans they found a mean MPG of 46.0. Assume the standard deviation is known to be 2.6. Is there sufficient evidence at the 0.02 level that the vans underperform the manufacturer's MPG rating?
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 46.4 \ miles/gallon[/tex]
The sample size is n = 140
The sample mean is [tex]\= x = 46.0[/tex]
The standard deviation is [tex]\sigma = 2.6[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : \mu = 46.4[/tex]
The alternative hypothesis is [tex]H_a : \mu < 46.4[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 46 - 46.4 }{ \frac{ 2.6 }{\sqrt{140} } }[/tex]
=> [tex]t = -1.8203[/tex]
From the z table the area under the normal curve to the left corresponding to
-1.8203 is
[tex]P(Z < -1.820 ) = 0.03438[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -1.820 ) = 0.03438[/tex]
From the value obtained we see that the p-value > [tex]\alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating
Based on its number of terms, what is the
polynomial r3-r2 +9r called?
Answers
Given:
The polynomial is
[tex]r^3-r^2+9r[/tex]
To find:
Based on its number of terms name for the given polynomial.
Solution:
We have,
[tex]r^3-r^2+9r[/tex]
Here, number of terms is 3.
Any polynomial with three terms is known as trinomial.
Therefore, based on its number of terms the given polynomial [tex]r^3-r^2+9r[/tex] is called a trinomial.
The polynomial is called cubic polynomial.
The standard equation of a polynomial is expressed as:
[tex]a_nx^{n}+a_{n-1}x^{n-1}+...[/tex]The type of a polynomial function depends on the degree and number of terms.
Given the polynomial function expressed as [tex]r^3 - r^2 + 9r[/tex], since there are just three terms in the polynomial function, hence the polynomial is called a cubic polynomial.
Learn more on polynomial function here: https://brainly.com/question/2833285
Determine which of the following angle measures are correct. Select all the apply
Answers
Answer:
The right answer is :
2 (108) and 3 (72)
Step-by-step explanation:
i did the test
The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
What is isosceles triangle?An isosceles triangle is a triangle which is having two sides equal to each other.
How to determine angles?Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.
So,
(4x+16)°+2(5x+7)°=180°
4x-16+10x+14=180
14x-2=180
14x=180+2
14x=182
x=182/14
x=13
Putting the value of x.
∠BCA=5x+7
=5*13+7
=65+7
=72
∠ABC=4x-16
=4*13-16
=52-16
=36
∠BAC=180-36-72
=180-108
=72
∠BCD=180-∠BCA
=180-72
=108°
Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
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Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.
Answers
Answer:
Step-by-step explanation:
There are several possible outcomes. If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle. If the plane is held vertical, the cross section could be a hyperbola. If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.
The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the constant of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
Answers
Answer:
its B.
Step-by-step explanation:
all you have to do is y divided by x to find the constant of proportionality
so it would be two y=2x
Simplify your answer and keep improper, if necessary. 7/8 x 1/4
Answers
Answer:
0.22
Step-by-step explanation:
Hope this helps!!!
Answer:
It is .22! :D
Step-by-step explanation:
Which fraction/decimal is greater
Answers
Answer:
-5.25>-5 3/10
Step-by-step explanation:
let's convert -5 3/10 into a decimal
which is
-5.3 or -5.30
-5.25 and -5.30
because it's negative, the lowest number is the greatest number so
-5.25 is greater than -5.30
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time? (Round to two decimal places)
Answers
Answer: $96.15
Step-by-step explanation:
If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:
52*10 h = 520h hours.
Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.
Then how much is worth each one of these 520 hours?
Let's take divide the value of the scholarship evenly into the 520 hours:
$50,000/520h = $96.15.
This means that the hourly return is $96.15
The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.
Answers
Given:
The equation is
[tex]F=\dfrac{9}{5}C+32[/tex]
To find:
Whether there is a proportional relationship between C and F.
Solution:
If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).
Put F=0 and C=0 in the given equation.
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is not true because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Answer:
korrect
Step-by-step explanation:
it looks right
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppp
Answers
Answer:
A
Step-by-step explanation:
Y
7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements
Answers
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
Help me w 14,15,16 I got text tomorrow
Answers
Answer:
14.function because it goes through the origin
15.Nonlinear because if you graph it is not a straight line
16.Nonlinear because it is not a straight line
2 x 6 x 5 = 5 X 6 X 2
Commutative Property
Identity Property
Associative Property
Distributive Property
Answers
Answer:
commutative property
Step-by-step explanation:
commutative property states that ab=ba.
The baileys spent $18.00 for 4 two-liters sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?
Answers
Answer:
lol
Step-by-step explanation:
lol
