Answers
The first five terms of the expression are -7,-3,1,5, and 9.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
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 , F(1) = -3 and F(n) = F(n-1) + 4. Calculate the first term of the sequence,
F(1) = F(1-1) + 4
-3 = F(0) + 4
F(0) = -7
The common difference is calculated as,
d = -3 - 7
d = 4
The third term will be, -3 + 4 = 1
The fourth term will be, 1 + 4 = 5
The fifth term will be, 5 + 4 = 9
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Related Questions
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.
Answers
Answer:
y= 0.007x- 4.945
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
Step-by-step explanation:
Weight Miles
(pounds), x per Gallon, y xy
3773 17 64,141
3793 16 60,688
2706 25 67,650
3645 20 72,900
3308 22 72,776
2908 24 69,792
3675 17 62,745
2687 24 64,488
3522 18 63,396
3827 16 61,232
∑y²=4075; ∑y=199; ∑x²= 116,406,174 ; ∑x=33,844 ; ∑xy=659,808
b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²
b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336
b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336
b=136,876/18,645,404
b= 0.007341
a= Y`- bX`
a= 19.9- (0.007341) (3384.4)
a= 19.9 -24.845
a=-4.945
Y^= -4.945+ ( 0.007341) X
y= 0.007x- 4.945
Putting the values
y= 0.007x- 4.945
18 = 0.007(3511) - 4.945
18< 20.829
The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.
The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.
find the inverse of h(x)= -x^5+2 step by step
Answers
Hi there!
[tex]\large\boxed{y = \sqrt[5]{-(x-2)}}[/tex]
[tex]h(x) = -x^{5} + 2[/tex]
Rewrite h(x) as y:
[tex]y = -x^5 + 2[/tex]
Switch the x and y variables:
[tex]x = -y^{5} + 2[/tex]
Isolate y by subtracting 2 from both sides:
[tex]x - 2 = -y^5[/tex]
Multiply both sides by -1:
[tex]-(x-2) = y^5[/tex]
Take the 5th root of both sides:
[tex]y = \sqrt[5]{-(x-2)}[/tex]
15 POINTS!
1. You throw a ball through a hoop once 8 tries. How many balls can you predict you will throw the hoop 56 tries?
2. You Flip A fair coin 16 times. How many times can you expect the coin to come up tails?
3. You Hit A Ball 90% of the time. Predict how many times you will hit the ball in 200 times
Do The One that you want
Answers
Answer:
Step-by-step explanation:
1. 56/8= 7 = Amount of tries
2. 16/2= 8 = Coin to come up tails (It's a 50/50)
3. I'll skip this one.
2. 8 because 16/2=7
3. 180 because 90/100= x/200 so you multiply 200x90 then divide by 100
Workers mixed 7 gallons of blue paint, 4 gallons of yellow paint, and 1 gallon of white paint to make a special shade of paint . They will use a total of 108 gallons of this mixture to paint the offices in a building .Based on this information, complete the following statements.
They will use _______times as much yellow paint as white paint.
They will use a total of _______gallons of blue and yellow paint.
They will use _________more gallons of blue paint than of white paint.
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Answer:
What’s the answer
Step-by-step explanation:
(y+7) what does that equal
Answers
I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 
Answers
Answer:
$ is less than or equal to $16
Step-by-step explanation:
I really need help with this. Can you help me please?
Answers
Answer:
Solve the equation using the method of completing the square.
Step-by-step explanation:
Someone help me please extra points & brainlest!
Answers
Answer:
my best bet is d
Step-by-step explanation:
tell me if im wrong
Answer:
7x-11
Step-by-step explanation:
remove parentheses
4x-7+3x-4
group like terms
4x+3x-7-4
add similar elements
7x-7-4
then solve
7x-11
Choose the equation below that matches the word sentence: "3 increased
by x is 9."
A.3x = 9
B.3/x = 9
C.3 + x = 9
D.3 - x= 9
Answers
Step-by-step explanation:
32 9655 9655 + 965 + 965 + 965 + 982
A) If 4 farmers can plow a 3-hectare land in 6 days, how long will 8
farmers do it?
Answers
Answer:
I believe that It will take 3 days if 8 farmers will plow 3-hectare land.
Step-by-step explanation:
The work doubled so days will be less in a half.
I need this question as soon as possible. Can u please explain the answer to
Answers
Answer:
area = 8(x + 6)
The distributive property says that the x must be added to the 6 before it is multiplied by the 8
Answer: 8(x+6)
Step-by-step explanation:
the distributive property is where you use the form
a(b+c) and area is b*h or l*w and
here 8=h x+6=b so the equation is 8(x+6)
Hope this helps!
Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142
Answers
Because in 1 year we have 12 months so we divide 840 with 12 we get 70
help plz look at the image to answer to all 10 questions no links plz
Answers
Answer:
2 4 6 8 12 14 16 18 20
Step-by-step explanation:
Answer:2 4 6 8 10 12 14 16 18 20
Step-by-step explanation: just add them or count by 2
What is the area of the base ? / / / / /
Answers
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
what is the combined length of 5/8
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2/3 x 9 in simplest form
Answers
Answer:
The answer is 6
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex] \frac{2}{3} \times 9 = 2 \times 3 = 6[/tex]
The numbers 3 and 9 are divisible by 3
hope it helps
have a nice day
The data set shows the numbers of miles Ms.Franklin drove on five days. answer choices are in the picture ( please no files or links just the answer)
Answers
Please help I will give u brainlest pleaseee and thank you ❤️
Answers
Answer:
I think:
A),C),and D
Step-by-step explanation:
Using the formula,( h= 138÷46),and using times after that.
Hope this helps! Have a good day/or night!
P.S: Sorry if I'm wrong I tried my best. Best wishes!!!
Answer:
D, E
h - 46 > 138
+46 +46
–––––––––––
h>184
Step-by-step explanation:
:))
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answers
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
find the area of the shape
Answers
Answer:
Step-by-step explanation:
Answer:
=> 1/4 * [tex]\pi r^{2}[/tex]
=> 1/4 * 3.14 * 4
=> 3.14
Answer = 3.14
Please mark my answer as the brainliest for further answers :)Distribute and combine like terms: 8(1 + 6 p)
Answers
Answer:
8 + 48p
Step-by-step explanation:
Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.
Answers
Answer:
C
Step-by-step explanation:
a^2 + 49 = 169
-49 - 49
a^2 = 120
√120 = 2√30
BRAINIEST TO WHOEVER IS RIGHT
Answers
Answer:
Least= -6
Middle= -3
Greatest= -2
what is the median and mode for the numbers 40, 28, 24, 37, 43, 26, 30, 36
Answers
Answer:
Median
Assending order =24,26,28,30,36,37,40,43
It is even no of obs
Therefore the two middle obs are 30,36
Therefore median 30+36/2
Therefore median 66/2
Therefore median is 33
There is no mode in the following obs
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU.......
The median of the numbers is M = 33 and the mode is not defined
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
Let the set of numbers be represented as set A
Now , the value of A is
A = { 40, 28, 24, 37, 43, 26, 30, 36 }
Arranging the numbers in the ascending order , we get
A = { 24 , 26 , 28 , 30 , 36 , 37 , 40 , 43 }
Now , the total number of elements in the set A = 8
So , the median is the average of the two middle data points in the list.
M = ( 30 + 36 ) / 2
M = 33
The mode of the numbers is the numbers that appears the most often
So , mode is not defined
Hence , the median is M = 33
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the second part is thiss
Answers
Step-by-step explanation:
Question b has already been answered in part one. This is an exponential function.
C) 7 is the initial number of people who received the email;
7*2^n is the number of people who receive the email on day n;
2 is the factor of which the number of people increases each day.
D) On day 5,
[tex] {2}^{5} \times 7 = 32 \times 7 =224[/tex]
people will have received the email.
E) 2; 0 (no people has received the email on day 0). The equation is
[tex]y = {2}^{x} \times 7[/tex]
With x in the natural numbers
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answers
Answer:
love
Step-by-step explanation:
you
Suppose $67,050 is divided into two bank accounts. One account pays 6% simple interest per year and the other pays 1%. After seven years there is a total of $15,000 in interest between the two accounts. How much was invested into the bank account that pays 1% simple interest. (Rounded to the nearest cent)?
A. $55,455.56
B. $44,451.55
C. $37,602.90
D. $29,447.10
Answers
Step-by-step explanation:
i think the answer is C
What does the constant term in the above expression represent? A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold. B. The constant -10 represents the maximum number of cheeseburgers sold by the food stall at the funfair. C. The constant -10 represents the total money earned by setting up the food stall. D. The constant -10 represents the cost of each cheeseburger at the food stall.
Answers
Answer:
In the expression [tex]\dfrac{60 \cdot x}{x + 3} -10[/tex] what the constant term -10 represents is;
A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold
Step-by-step explanation:
Whereby the expression is as given in a similar question which is presented as follows;
[tex]\dfrac{60 \cdot x}{x + 3} -10[/tex]
Where the expression represents the total money earned when a food stall is set up at a fair where 'x' stands for the number of cheeseburgers sold
Then when no cheeseburger were sold, x = 0, such at the start just after setting up the food stall, we then have;
[tex]\dfrac{60 \times 0}{0 + 3} -10 = -10[/tex]
Therefore, the money earned at the start = -10
∴ The money spent at the start = 10
Therefore, the constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.
PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)
Answers
Answer:
the equation is 9.75c=20.75
then the amount is 2.13
Step-by-step explanation:
Answer: c - 9.75 = 20.75
flip it 20.75 - 9.75 = c
- 9.75
____________
11.00
C = 11.00
Find the missing length of the right triangle.