Answers
Answer:
See the attached image below for the filled out chart.
First box = 0.1Second box = 0.1Third box = 4Fourth box = -3Fifth box = 3Sixth box = -1===================================================
Explanation:
Part 1
Pick any term and subtract off its previous term
So for instance 4.2 - 4.1 = 0.1
Or you could say 4.3-4.2 = 0.1
Whichever pair you pick, you should find that the common difference is 0.1
This means we add 0.1 to each term to get the next term. Therefore, the recursive rule is [tex]a_n = a_{n-1} + 0.1[/tex] which says "add 0.1 to the (n-1)th term to get the nth term". The (n-1)th term is the term just before the nth term.
The first term is [tex]a_1 = 4[/tex] as shown in the given sequence 4, 4.1, 4.2, ...
------------------------------
Part 2
We'll follow the same idea as part 1.
Subtract any two adjacent terms
-10-(-7) = -10+7 = -3
We add -3 to each term to get the next. This is the same as subtracting 3 from each term, which is reflected in [tex]a_n = a_{n-1}-3[/tex]
The first term is [tex]a_1 = -1[/tex]
Everything is summarized in the diagram below.
Related Questions
which of the ordered pairs is a solution to the system of inequalities?
Answers
Ann cut her king-size chocolate bar into 12 equal parts. She ate 7 parts. Which equation shows two equivalent ways to represent how much chocolate is left from Ann's chocolate bar?
Answers
Answer:
= 5 parts left
Step-by-step explanation:
12-7=5
Answer:
Step-by-step explanation: 12-7=5
Zoe practices the piano 812 minutes in 4 weeks. At what rate did she practice, in minutes per day
Answers
Answer:
Step-by-step explanation
Given
Zoe practices the piano 812 minutes in 4 weeks
4 weeks=7×4
=28 days
she practice, in minutes per day=812/28
=29 minutes
So she practices 29 minutes per day
What Quadrant is 4,-8 located in
Answers
Answer:
4
Step-by-step explanation:
Find the time (in years):
Principal: $80
Interest: $52
Interest Rate: 13%
Answers
Answer:
Rs 845
let me know if need the process
Rhombus ABCD ~Rhombus EFGH. The scale factor is 3. Angle A = 80° , Angle B = 70° Angle C = 110°, and Angle D = 100°.What are the measures of Angle E, Angle F, Angle G, and Angle H Group of answer choices
Answers
Answer:
d 100
Step-by-step explanation:
Which expression is equivalent to (m8n4)4?
Answers
Answer:
[tex]\frac{m2}{n}[/tex]
Step-by-step explanation:
Answer:
Step-by-step expla The answer is M2N
The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective. What percentage of pools having an acceptable pH level
Answers
Answer:
78.383%
Step-by-step explanation:
The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.
Using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 7.2
z = 7.2 - 7.4/0.22
z = -0.90909
Probability value from Z-Table:
P(x = 7.2) = 0.18165
For x = 7.8
z = 7.8 - 7.4/0.22
z = 1.81818
Probability alue from Z-Table:
P(x = 7.8) = 0.96548
The probability of pools having an acceptable pH level(7.2 and 7.8)
= P(x = 7.8) - P(x = 7.2)
= 0.96548 - 0.18165
= 0.78383
Converting to percentage
0.78383 × 100
= 78.383%
The percentage of pools having an acceptable pH level is 78.383%
Jessica can swim a lap in 29 2/5 seconds, Marta can swim a lap in 28.7 seconds, Marta can swim a lap in 28.7 seconds, how much faster can Marta swim a lap than Jessica.
Answers
Answer:
Marta can swim a lap 0.7 or seconds faster than Jessica
The distance from Joe's house to the creek is 5.5 km. The distance from Jane's house to the creek is twice as far. Both Joe and Jane are leaving their houses to go to the creek. How much further, in meters, does Jane have to walk than Joe?
Answers
Answer:
5500 meters
Step-by-step explanation:
Convert 5.5 km to meters= 5500meters
Find distance of Jane's house to the creek= 11000 meters
Subtract both distances= 11000-5500= 5500 meters
The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?
Time Elapsed (Hours)
Miles Traveled (Miles)
0.50
2.00
0.75
3.50
1.00
4.75
4.75 miles per hour
5.00 miles per hour
5.50 miles per hour
6.00 miles per hour
Answers
Answer:
B
Step-by-step explanation:
Just took test on edge.
Average rate of change, miles per hour, during the interval 0.75 to 1.00 hours is 5 miles per hour.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Given a table which shows how far a distance runner has traveled since the race began.
If f(x) is a function, the average rate of change of the function in the interval [a, b] is,
f(b) - f(a) / b - a
Here the interval is (0.75, 1).
Average rate of change of the function is,
Average rate of change = (4.75 - 3.50) / (1 - 0.75)
= 1.25 / 0.25
= 5
Hence the required average rate of change is 5 miles per hour.
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For signing up for the rewards program at a pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need to order to get a free one?
Answers
8x= 160
20 pizzas
Answer:
20 pizzas
Step-by-step explanation:
Direct and Indirect Proportions
1.
The ratio of Mumuni's age to his father's age is 3:5. The
sum of their ages is 96years. What is Mumuni's age?
2.
Peter and John shared GH¢1000.00 in the ratio 2 : 5
Calculate the amount each received.
3.
Mr. Opuni shared GH¢15,000.00 among his three childre
Gloria, Ophelia and Tina in the ratio 3:5:7. Calculate t
amount each received.
4.
The angles of a triangle are in the ratio 6:5: 7. Calc
the size of each angle.
Answers
Answer:
?
Step-by-step explanation:
Slope = 2, passing through (-3, 8)
Answers
Answer:
y - 8 = -2(x + 3)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
Step 1: Define
Slope m = -2
Point (-3, 8)
Step 2: Write equation
y - 8 = -2(x + 3)
Please help- I cannot get this wrong
Answers
Answer:
Top left table
Step-by-step explanation:
It increases at a constant rate of 2 in the y for every 2 in the x so its slope is 1.
Answer:
Top left corner.
Step-by-step explanation:
2, 7
4, 9
6, 11
8, 13
The coordinates increase at a proportional rate.
You are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 7.
If
α
=
.005
, find the critical value, to two decimal places.
Answers
========================================================
Explanation:
You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.
If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.
In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.
In this row, locate the column labeled "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707
Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71
Pls help
Find the questions?
Answers
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
Read carefully and choose the name of the student who made the correct statement.
Answers
Answer:
Rosie is correct
Step-by-step explanation:
can i get brainliest
Answer:
Rosie
Step-by-step explanation:
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
Answers
Answer:
13, 17, 19, and 23
Step-by-step explanation:
13+17+19+23=72
What is the first step when solving the equation: 3x-8=343x−8=34 ?
Answers
Answer:
Adding 3x and 343x together
Step-by-step explanation:
and then you'd have 346x + -16 = 34
just comment if you need the answer to the equation too good luck ;)
5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
hours. What was Veronika's weekly gross salary if her total sales were $2050?
Answers
-1.1x + 8.1x + 38 = -32
Answers
X = -10
Explanation:
-1.1x + 8.1x + 38 = -32
Combine like terms : -1.1x + 8.1x
7x + 38 = -32
Subtract 38
7x = -70
Divide by 7
7x = -70/7
Answer:
x = -10
Answer:
x= -10
Step-by-step explanation:
1. start by subtracting 38 from both sides
-1.1x+8.1x+ (38-38)= (-38-32)
2. Solve
-1.1x+8.1x= -70
3. Add the x- values
7x=-70
4. Solve
x= -10
If I work four days from 6-4:30 and earn $600. How much of taxes is being taken off my check
Answers
Answer:
80$
Step-by-step explanation:
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction
Answers
Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
To learn more about Exponents, click on the link given below :
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You start at (-4, 0). You move right 9 units and down 4 units. Where do you end?
Answers
Answer:
5,-4
Step-by-step explanation:
-4 + 9 = 5 and 0 -4 = -4 so the answer will be (5,-4)
Answer:
(5,-4)
Step-by-step explanation:
-4 + 9 = 50 - 4 = -4Put them together: (5, -4)I hope this helps!
246 divided by 3 using rectangular model
Answers
Answer:
82 is the answer
Step-by-step explanation:
hope it help you
Simplify. ( 2^9 × 3^5 ) × ( 2^4 × 3 )^2
The Choices Are
A. 16^20
B. 6^24
C. 2^13 x 3^7
D. 2^17 x 3^7
According to my study guide the answer is D, but I am unsure how to get to that answer.
Answers
Step-by-step explanation:
hope this helps you my friend
you can refer the steps I've added in the pic
6/root of 12. Rationalize the denominator
Answers
Answer:
Step-by-step explanation:
hi
[tex]\dfrac{6}{\sqrt{12}}=\dfrac{2\times 3}{\sqrt{2^2\times 3}}=\dfrac{3}{\sqrt{3}}=\sqrt{3}[/tex]
thanks
Which of the following expressions is equivalent to the one below? 7(x + 7)
A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49
Answers
Let me know if this helps
what is the slope of a surface having a rise of 5 feet and a run of 0 feet?
A. 100%
B. Undefined
C. 5
D. 50
E. 0
