Answer:
Rewrite the numbers. this isn't an equation
A. Write the first four terms of the sequence, given the nth term formula
1. an=2n+3
2. an=n2-1
B. Supply the missing term for each sequence
1. 57,__,37,__17
2. __,__,0,12,24,36
3. -4,8,__16,-20
C. Find the general rule or nth term for each sequence
1. 7, 12, 17, 22,...
2. 2, 6, 12, 20,...
D. Determine whether each sequence is arithmetic or not. Find the common difference for each arithmetic sequence
1. 4, 8, 12, 16,..
2. 13, 10, 7, 4,...
3. -10, -8, -6, -4,..
4. 1, 6, 8, 11, 12,..
5. 5,6,12,13
Step-by-step explanation:
A.let n be 1
a1=2(1)+3
T1=5
let n be 2
2(2)+3
T2=7
T3=2(3)+3
=9
T4=2(4)+3
=11
A. For the sequence given by the nth term formula an = 2n + 3, the first four terms are:
a1 = 2(1) + 3 = 5
a2 = 2(2) + 3 = 7
a3 = 2(3) + 3 = 9
a4 = 2(4) + 3 = 11
For the sequence given by the nth term formula an = n² - 1, the first four terms are:
a1 = 1² - 1 = 0
a2 = 2² - 1 = 3
a3 = 3² - 1 = 8
a4 = 4² - 1 = 15
B. The missing terms for the sequence 57, 47, 37, 27, 17 are:
57, 47, 37, 27, 17
The missing terms for the sequence -12,-6, , 0, 12, 24, 36 are:
-12, -6, 0, 12, 24, 36
The missing terms for the sequence -4, 8,20, , 16, -20 are:
-4, 8, 20, 16, -20
C. The general rule or nth term for the sequence 7, 12, 17, 22,... is:
an = 5n + 2
The general rule or nth term for the sequence 2, 6, 12, 20,... is:
an = n² + 1
D. The sequence 4, 8, 12, 16,.. is an arithmetic sequence with a common difference of 4.
The sequence 13, 10, 7, 4,... is an arithmetic sequence with a common difference of -3.
The sequence -10, -8, -6, -4,.. is an arithmetic sequence with a common difference of 2.
The sequence 1, 6, 8, 11, 12,.. is not an arithmetic sequence as there is no common difference between consecutive terms.
The sequence 5, 6, 12, 13,... is not an arithmetic sequence as there is no common difference between consecutive terms.
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what is the answer? pls help
Answer:
m = 0
Step-by-step explanation:
To find the slope, use the formula:
m = y2 - y1 / x2 - x1
Then substitute the numbers:
m = 5 - 5 / 6 - 3
m = 0 / 3
m = 0
Therefore, the slope of the line is 0.
The monthly utility bills in a city are normally distributed, with a mean of $ and a standard deviation of $. Find the probability that a randomly selected utility bill is (a) less than $, (b) between $ and $, and (c) more than $. (a) The probability that a randomly selected utility bill is less than $ is 0.0076. (Round to four decimal places as needed.) (b) The probability that a randomly selected utility bill is between $ and $ is 0.6859. (Round to four decimal places as needed.) (c) The probability that a randomly selected utility bill is more than $ is 0.0764. (Round to four decimal places as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X < 65) = 0.003467[/tex]
b
[tex]P(86 < X < 110 )= 0.63928 [/tex]
c
[tex]P(X > 120 ) =0.062024[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 100[/tex]
The standard deviation is [tex]\sigma = \$ 13[/tex]
Generally the probability that the monthly utility bills is less than $65 is mathematically represented as
[tex]P(X < 65) = P(\frac{X - \mu }{\sigma } < \frac{65 - 100 }{13 } )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma } = Z (The\ standardized \ value \ of\ X )[/tex]
So
[tex]P(X < 65) = P(Z < -2.70 )[/tex]
From the z-table
[tex]P(Z < -2.70 ) = 0.003467[/tex]
So
[tex]P(X < 65) = 0.003467[/tex]
Generally the probability that a randomly selected utility bill is between $86 and $110 is mathematically represented as
[tex]P(86 < X< 110 )= P( \frac{86 -100}{ 13} < \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P(-1.08 < Z < 0.77 )[/tex]
=> [tex]P(86 < X < 110 )= P(Z < 0.77 ) - P(Z < -1.08 ) [/tex]
From the z-table
[tex]P(Z < 0.77 ) = 0.77935[/tex]
and
[tex]P(Z < -1.08 ) = 0.14007[/tex]
So
[tex]P(86 < X < 110 )= 0.77935 - 0.14007 [/tex]
=> [tex]P(86 < X < 110 )= 0.63928 [/tex]
Generally the probability that the monthly utility bills is more than $120 is mathematically represented as
[tex]P(X >120 ) = P(\frac{X - \mu }{\sigma } > \frac{120 - 100 }{13 })[/tex]
=> [tex]P(X > 120 ) = P(Z > 1.538 )[/tex]
From the z-table
[tex]P(Z > 1.54 ) = 0.062024[/tex]
So
[tex]P(X > 120 ) =0.062024[/tex]
Eli’s Electronics has a 60-inch television on sale this week for $798. The television is regularly priced for $1,050. By what percent did the price of the television decrease?
PLS HELP Read the first paragraph of the article, "Kelvin Doe-A Young Engineer."
Which detail is explicit from this paragraph?
Answer:
Kelvin Doe is from a small village in the Republic of Sierra Leone in West Africa. Your welcome :)
Answer: Kelvin Doe changed the lives of the people in his community by his innovative thinking.
Step-by-step explanation: i got it right
what is the missing length of a right triangle have 18 in and 30 in
Answer:
b=24
Step-by-step explanation:
a²+b²=c²
18²=324
30²=900
900-324=576
√574=24
24²=576
576+324=900
Answer: the answer is 18 if im correct
Identify the number of decimal places in each factor.
0.47
× 3.2
The number of decimal places in 0.47 is .
The number of decimal places in 3.2 is .
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places.
Answer:
no
Step-by-step explanation:
Answer:
The number of decimal places in 0.47 is
✔ 2
.
The number of decimal places in 3.2 is
✔ 1
.
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have
✔ 3
decimal places.
Step-by-step explanation:
I did this on edge 2020
Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
Answer:
add 4
Step-by-step explanation:
Solve for x in the equation.
Answer:
The solution is [tex]\displaystyle x=1\pm \sqrt{47}[/tex]. Fourth option
Explanation:
Solve for x:
[tex]2x^2+3x-7=x^2+5x+39[/tex]
Move all the terms from the right to the left side of the equation, a zero in the right side:
[tex]2x^2+3x-7-x^2-5x-39=0[/tex]
Join all like terms:
[tex]x^2-2x-46=0[/tex]
The general form of the quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Solve the quadratic equation by using the formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In our equation: a=1, b=-2, c=-46
Substituting into the formula:
[tex]\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}[/tex]
[tex]\displaystyle x=\frac{2\pm \sqrt{188}}{2}[/tex]
Since 188=4*47
[tex]\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}[/tex]
Take the square root of 4:
[tex]\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}[/tex]
Divide by 2:
[tex]\displaystyle x=1\pm \sqrt{47}[/tex]
First option: Incorrect. The answer does not match
Second option: Incorrect. The answer does not match
Third option: Incorrect. The answer does not match
Fourth option: Correct. The answer matches exactly this option
How do you find the equivalent ratios
Answer:
by multiplying or dividing
Step-by-step explanation:
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
There are 40 students in a class. The probability that a student passes a Mathematics test is 3/5. How many students are likely to pass the Mathematics test? *
Answer:
[tex] \frac{3}{5} = \frac{x}{40} \\ x = \frac{3 \times 40}{5} = \frac{120}{5} = 24[/tex]
Answer:
24
Step-by-step explanation:
3/5 multiplied by 40 = 24
Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?
Answer:
150
Step-by-step explanation:
3 + 7 + 10 + 30 +100
Answer: the answer is $150.00 or $7.00
Step-by-step explanation:
$150.00 if you want to know how much you had in all
but if your talking about how much you had before it would be $7.00
Friday’s high temperature was −1°C. The low temperature was −5°C. What was the difference between the high and low temperatures?
Answer:
-4C
Step-by-step explanation:
-1 (-4) = -5
PLS HELP ME! Write a rule (function) for the data in this table.
Answer:
y = x - 3
How I know I'm correct:if you plug in the numbers from the table, it checks out.
y = x - 3
0 = 3 - 3
0 = 0
y = x - 3
1 = 4 - 3
1 = 1
y = x - 3
2 = 5 - 3
2 = 2
and so on
Convert 0.1lb/day to oz/wk
Answer:
1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow
Step-by-step explanation:
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x - 1)
b. y=f6)
C. y-1 = f(x)
d. Ş= f(x)
Answer:
There is no graph attached.
Step-by-step explanation:
Check the question again.
3xy+p=12
Find y when x=8 and p= 2
Find p when x=5 and 9= -8
Liam earns money by walking his neighbor’s dogs. On Monday he earned $20, on Tuesday he earned $15, and on Friday he earned $15. How much did Liam earn this week?
Answer:
$50.00
Step-by-step explanation:
BECAUSE U ADD 20+15+15!!!
:)
Your meal cost $20. You want to leave a 10% tip. How much money do you leave for the tip?
Answer:
$2
Step-by-step explanation:
20×0.10=2
can you guys help me
Answer:
It is A. 37
Step-by-step explanation:
Solve: Xber the robot has a problem: 3(x+3)-9, Xber's answer is 3x-6, is his answer true or false (right or wrong)?
Answer:
He is wrong.
Step-by-step explanation:
[tex]3(x+3)-9\\\\3x+9-9\\\\\boxed{3x}[/tex]
Hope this helps
Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard, how much will it cost to equip all stations?
It will cost $412.50 for equipment for all stations.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard.
The cost will be calculated as below,
3 feet = 1 yard
5 x 30 = 150 feet
8.25 per yard = cost
150/ 3 = 50 yards (total tubing needed)
50 x 8.25 = $ 412.50
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What is the area of the figure below?
8 m
8 m
3 m
12 m
2.
O 96 m
O
76 m 2
72 m 2
86 m 2
9514 1404 393
Answer:
86 m^2
Step-by-step explanation:
The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.
Then the figure's area is ...
A = LW - (1/2)bh
A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2
A = 86 m^2
The area of the figure is 86 square meters.
solution of 20mn/60m
Answer:
1/3000 or 0.000333....
Step-by-step explanation:
I think you mean 20mm / 60 m
1 mm = 0.001m
So the division becomes:
(0.001* 20) / 60
= 0.02 / 60
= 0.00033.....
or as a fraction it is
2/6000
= 1/3000.
How do you convert pizza into math?
I need help please I don’t understand this question
Answer:
KE = 100 J
Step-by-step explanation:
The question is asking you to use the formula with the values ...
m = 8 kg . . . . . this 'm' stands for mass
v = 5 m/s . . . . this 'm' stands for meters
Putting these values into the formula, we have ...
KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²
The units are equivalent to the derived SI unit "joules", abbreviated J.
The kinetic energy of the 8 kg mass is 100 J.
he picture shows the length of an American alligator. What is the length of the alligator rounded to the nearest tenth?
Answer:
I do not see the picture of the alligator
Step-by-step explanation:
so therefore i do not the lenght of the alligator
Maurice worked 15 hours last week at his job and made $150. If Maurice worked 25 hours this week, how much did he make?
Answer:
Step-by-step explanation:
When Maurice works 15hrs, he makes $150.
So first you have to find out how much money he makes each hour.
To do this you do :
Money earnt divided by hour many hours he worked.
Money made per hour = [tex]\frac{150}{15}[/tex] = $10
So since Maurice makes $10 every hour,
If her works 25 hours, it will be $10 x 25 = ?
Write the equation of a line with a slope of 2 that goes through the point (-4,3)
Answer:
y= 2x + 11
Step-by-step explanation: Hopefully that helps ;)
Which inequality represents the graph shown below?
A number line between negative 5 and 5 is shown with an open circle at negative 2 and a ray drawn to the right of negative 2.
A. x –2
D. x ≥ –2
Answer:
x > -2
Step-by-step explanation:
An open circle (unshaded) which starts at -2 and drawn to the right means that the possible values of x do not include -2. Possible values of x are greater than -2, upwards.
Therefore, the inequality to use in representing the information displayed by the graph is x > -2.
This means possible values of x are greater than -2.
