Answer:
an-1+8 where a1 =10
Step-by-step explanation:
Since 10 is the starting variable we know that a1 is 10.
The Recursive Formula is [tex]a_n[/tex] = 10 + 8n.
What is Recursive Formula?Any term of a series can be defined by its preceding term in a recursive formula (s).
For example: The recursive formula of an arithmetic sequence is, an = an-1 + d. The recursive formula of a geometric sequence is, an = an-1r.
Given:
Opening amount in bank= $10
Each week he will deposit $8.
On End of first week = 10+ 8= $18
On End of second week = 18 + 8= $26
On End of third week = 26+ 8= $34
Continuing this way we get
By end of n weeks, [tex]a_n[/tex] = 10 + 8n
Learn more about recursive formula here:
https://brainly.com/question/8972906
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−4 (1 + 5)2÷(42 + 5)
Answer:
0.005625
Step-by-step explanation:
A taxi hurries with a constant speed of 44 km/h. How far can it travel in 2
hours?
Answer:
88km/h
Step-by-step explanation:
because it is 44km in one hour and it will be 88in 2 hours
FABRIC Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure is 8 inches. If Jordan places the number 8 at one end of the fabric and finds that the
other end of the fabric is at 24, how long is the fabric?
How many inches long is the fabric?
Answer:
16
Step-by-step explanation:
24-8 = 16
hope this helps....
Marty has been late for work 6 out of the past 80 working days. What percent of the days has she been late.
Divide days late by total days then multiply by 100:
6/80 = 0.075
0.075 x 100 = 7.5%
Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?
A. Less than or equal to 360 miles
B. Less than 360 miles
C. Less than or equal to 115 miles
D. Less than 1,840
Answer:
B. Less than 360 miles
Step-by-step explanation:
Let the number of miles driven be [tex]x[/tex]
The cost of renting from Gentle Rental per week is
[tex]185+0.25x[/tex]
The cost of renting from Rental Giant per week is [tex]275[/tex].
Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant
[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]
So, the answer is less than 360 miles.
The sum of the measures of two acute angles is always greater than 90 degrees
Answer:
One acute angle will always measure between 0° and 90° . Two acute angles can sum to be either greater than, less than, or equal to a right angle. Two acute angles can be complementary angles (adding to 90° ). Two acute angles alone cannot sum to make a straight angle (180° )
a youth organisation collected nickels and dimes for a charity drive. by the end of the 1 day drive, the youth had collected $45.90. if there were four times as many dimes as nickels,how many of each type of coin was collected?
Answer:
Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer
Step-by-step explanation: anyway Nothing
Which ordered pair is in the solution set of 3x - 2y>-1?
A) (-1, 1)
B) (-2, -2.5)
C) (2, 4)
D) (1, 2.5)
Answer:
c
Step-by-step explanation:
Answer:
B
I think its B because I do. I'm too smart to explain
Geometry Question if someone can help please!
Answer:
Angle D=162 P=74cm A=340sqcm
need help asap please!
Answer:
(f + g)(3) = 9
Step-by-step explanation:
f(x) = x² + 1
g(x) = x - 4
Thus:
(f + g)(x) = (x² + 1) + (x - 4)
(f + g)(x) = x² + 1 + x - 4
(f + g)(x) = x² + x - 3
Therefore, to find (f + g)(3), plug in the value of 3 into the equation:
(f + g)(3) = (3)² + 3 - 3
(f + g)(3) = 9 + 3 - 3
(f + g)(3) = 9
what is an expression that is equivalent to 15-5x
Answer:
5(3-x)
Step-by-step explanation:
Step-by-step explanation:
This could be random. There are endless possibilities. For example
15 * 2 - 5x * 2
= 30 - 10x
etc.
So as long as you know the pattern, you can make many more of them
A roller coaster reaches a speed of 112.7 kilometers per hour. What is the estimated speed in miles per hour?
Answer:
70 miles per hour just finished doing the math :)
Step-by-step explanation:
Which ratio is equivalent to 7:3
21:7
28:12
49:9
12:8
Answer:
28:12
Step-by-step explanation:
multiply the 7 by 4 to get 28 and multiply the 3 by 4 as well to get 12
Which best describes the slope of this line?
Answer:
Undefined because there is no slope or y - intercept
Step-by-step explanation:
Which is the best description for the graph below?
9
8
7
6
5
4
3
2
-1
BZ 8 9 X
ILL GIVE BRAINLIEST
Answer:
B is correct.
You got it right =D
Explanation:
B is correct because the graph never goes up after leaving zero, therefore it can never increase. This eliminates options A and D.
If the graph had remained constant, the graph would have been a straight line, therefore eliminating C
With A, C, and D being eliminated, B is the correct answer.
Hope this helps ^w^
f f(x) is a linear function, which statement must be true? f(x) has no constant term. f(x) has no x2-term. f(x) has no terms with a coefficient other than 1. f(x) has no x-term. Mark this and return
Answer:
f(x) has not x^2 term.
Step-by-step explanation:
Linear function is in the form of y=mx+b
In the linear function y=mx+b there is a constant term b
There is also an x term.
m is the slope of f(x). The value of 'm' can be any number.
If we have x^2 term in f(x) then it is quadratic function.
Linear function must always have x with exponent 1
True option is f(x) has not x^2 term.
Find the cosθ if an angle is in standard position and the point with coordinates (7,24) lies on the terminal side of an angle.
Answer:
0.28
Step-by-step explanation:
Angles in standard position are angles with the initial side on the positive x-axis.
Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.
The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{24-0}{7-0}\\\\m=\frac{24}{7 }[/tex]
The angle θ between a straight line and the x axis is:
tanθ = m
where m is the slope of the line.
Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:
tanθ = 24 / 7
θ = tan⁻¹(24/7)
θ = 73.74°
cosθ = cos(73.74°) = 0.28
I NEEDDDDDDD HELPPPPPPPP PLEASEEEEEEEE
Answer:
point and circle
Step-by-step explanation:
cross section is slicing through. You can make a point and circle
when slicing through a sphere
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate
Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
Express the following rate as a unit rate: "$119.28 for 28 ceiling tiles" Response
Answer:
$4.26 per ceiling tile.
Step-by-step explanation:
so the answer is 20 how do I type it in
Carl rain the 100 meter dash in 15.454 seconds. Jeremy ran it in 16.05
seconds. How much faster did Carl run than Jeremy?
Please help ASAP it’s due tomorrow
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Answer:
I think it is (2,2) but im not sure.
Step-by-step explanation:
Is 45.386 greater than or less then 45.368 ?
Answer:
greater
Step-by-step explanation:
Answer:
45.386 is greater than 45.386
Helppppp!!!!!!!! PlZZZZZZZZ.
Answer:
C. 48 feet
Step-by-step explanation:
Suppose you flip a fair coin
1000 times. What do you think
is the probability of getting
exactly 500 heads?
Answer:
50
Step-by-step explanation:
first estimate probably 50% depends also in luck
Answer:
about 0.02
Step-by-step explanation:
If you toss a coin 1,000 times the average (mean) number of heads equals 500, yet the probability that you will get exactly 500 heads in 1,000 tosses is about 0.02.
Cindy runs a company that designs and prints gift cards for a department store. Quality controls is very important,
and Cindy must determine that the cards are being printed properly. For every 6,000 batches of 100 cards that are
printed, she examines every 100th batch to make sure the logo is aligned and the magnetic strip works. Identify the
population and the sample.
population: 6,000 batches of 1000 cards c. population: 6,000 batches of 1000 cards
sample: every 10,000 cards
sample: every 100th batch
b. population: 6,000 batches of 100 cards d. population: 6,000 batches of 100 cards
sample: every 10,000 cards.
sample: every 100th look
The answer is C which is population 6,000 batches of 1,000 sample: every 100th batch
I hope this helps if you got it right go add me on tik toc at brianna47535
A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 1.
Answer:
[tex]Probability = 0.4167[/tex]
Step-by-step explanation:
Given
A toss of coin and a roll of 6-sides die
Required
P(Head and Number greater than 1)
First, we list the sample space of the coin:
[tex]Sample\ Space = \{Head, Tail\}[/tex]
From the sample space above:
[tex]P(Head) = \frac{1}{2}[/tex]
Next, we list the sample space of the die:
[tex]Sample\ Space = \{1,2,3,4,5,6\}[/tex]
There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.
So:
[tex]P(Outcome> 1) = \frac{5}{6}[/tex]
Lastly, the required probability is calculated as:
[tex]Probability = P(Head) \ and \ P(Outcome>1)[/tex]
Change and to *
[tex]Probability = P(Head) \ * \ P(Outcome>1)[/tex]
Substitute values for P(Head) and P(Outcome > 1)
[tex]Probability = \frac{1}{2} * \frac{5}{6}[/tex]
[tex]Probability = \frac{5}{12}[/tex]
[tex]Probability = 0.4167[/tex]
Hadassah drinks 30cl of Fanta. How many litres of liquid has she consumed ? *
5 points
A.3.0
B.0.3
C.0.03
D.0.003
