Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
Which sequence of steps is a correct derivation of the difference quotient for f(x) = 3 – log x?
Answer:
Step-by-step explanation:
Where are the answer choices?
Still, it's possible to help you without your having shared those choices.
The "difference quotient" is defined as:
f(x + h) - f(x)
--------------------
h
where h represents an incremental (small) change in x.
Here f(x) = 3 - log x, and so f(x + h) = 3 - log (x + h).
Therefore the difference quotient is:
{3 - log (x + h)} - {3 - log x}
-------------------------------------
h
This can be simplified. In the numerator we have 3 - 3, so the numerator simplifies to -log (x + h) + log x
and the difference quotient is
-log ( x + h) + log x
---------------------------
h
This can be rewritten as
log x - log (x + h) x x
--------------------------- , or (1/h)*log ------------ , or (1/h) log { ----------- }
h (x + h) x + h
Answer:
B
Step-by-step explanation:
I guessed and got it right.
Can you help me find the values of x and z?
Answer:
x = 96
z = 25
Step-by-step explanation:
x and 84 are supplementary angles.
this means that they add together to make 180.
using this, you can make the following equation:
x + 84 = 180
subtract 84 from both sides of the equation
x + 84 - 84 = 180 - 84
x = 180 - 84
x = 96
84 and 3z + 9 are vertical angles
vertical angles are equal.
using this, you can make the following equation:
84 = 3z + 9
subtract 9 from both sides of the equation
84 - 9 = 3z
75 = 3z
divide both sides of the equation by 3
75/3 = 3z/3
25 = z
If sample data come from a population that is not normally distributed, which
sample size would be large enough for the sampling distribution to
approximate a normal distribution?
A. 8
O B. 28
C. 18
D. 58
Answer:
D. 58
Step-by-step explanation:
If the sample size is larger than 30, the sample can be approximated as normally distributed, even if the population it came from isn't.
Answer:
another answer- 32
Step-by-step explanation:
A P E X
Lily has
x
x nickels and
y
y dimes. She has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Answer:
Y would = 34
Step-by-step explanation:
that's what i got on edge and it was right
is {(9,- 15), (0, 0), (4,0), {9, 2)} a function
Answer:
no im pretty sure they are not functions
Correct me if im wrong also learning
Help me on this... :..............................)
Answer:
b
Step-by-step explanation:
plz let me know if this was wrong... hope this helps
Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. How can you represent this situation with an equation?
Answer:
73.00=5.50x+25.50y
Step-by-step explanation:
Answer:
25.50x + 5.50y = 73.00
Step-by-step explanation:
Pick a variable for x and y (x is pants and y is T-shirt)
Since she buys pants and T-shirts you add the two values
Since she spent $73 you make it equal to 73
how many sixteenths are there in 7/8
Answer:
14/16
Step-by-step explanation:
If you multiply 8 by 2 you get 16 so multiply 7 by 2 and you get 14/16
Which expression is equivalent to X4 - 18X2 +81?
(x-g)(x² +9)
2.
of +9)(x2 +9)
3.
(9-x)(9+x2)
(x² - 9)(x² – 9)
4
Math
angles on the same side of a transversal and in between the lines it intersects are _____?
Please help
...................
Answer:
It is the third one!
Step-by-step explanation:
A checking account is set up with an initial balance of $5400, and $300 is removed from the account each month for rent (no other transactions occur on the account).
Write an equation that can be solved to find the number of months, m, it takes for the account balance to reach $1800.
Answer:
$1800 xm^2= 68658
Step-by-step explanation:
The slope of the line passing through the points (3,1) and (-2,4) is
Answer:
the slope is -3/5
Step-by-step explanation:
did it help
What is x. In x − 7 = 13.
Answer:
x=20
Step-by-step explanation:
2.
Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.
Answer:
[tex]P: (-2,4)[/tex]
[tex]P' : (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]P: (-2,4)[/tex]
Required
Rotate 90 degrees counterclockwise
Show both points on graph
[tex]P: (-2,4)[/tex]
When a point is rotated counterclockwise by 90 degrees, the new point is:
[tex]P':(-y,x)[/tex]
In
[tex]P: (-2,4)[/tex]
[tex]x = -2[/tex]
[tex]y = 4[/tex]
Hence:
[tex]P':(-y,x)[/tex]
[tex]P' : (-4,-2)[/tex]
See attachment for graph
Please help I don't know how to do this if you answer this please explain.
what is (6x7892,).666)590-900)/785+6000=000)-pv-tv+666X200
Answer:
HELLLO
Step-by-step explanation:
HELLO
which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de
Answer:
HF and DE
Step-by-step explanation:
Answer:
hf and de
Step-by-step explanation:
Is 0.00014476 bigger than 0.0003354?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away.
6x+3y=12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
YOU WILL GET BRAINLIES, LIKE AND COMMENT AND 10 POINTS IF YOU CAN PLEASE HELP ME BECAUSE NO ONE IS ANSWEING!
1- A kite has a width to length ratio of 4:5. If the length is 80 cm, what is the width? *
2- Which bottle of juice is the better buy? *
$1.00 for 150 mL
$1.75 for 500 mL
$4.00 for 1000 mL
$7.25 for 2000mL
3- Maya works in a clothing store and earns a commission of 3% on all her sales. If she sells $950 worth of clothing, what is her commission? *
$285
$138.50
$30
$28.50
3- A box of pancake mix suggests using 250 mL of milk and 325 mL of pancake mix. Rita has only 225 mL of pancake mix left in the box. How much milk should she use?
100 mL
125 mL
150 mL
175 mL
4- Of the 1120 spectators at a hockey game, about 80% are home team fans. How many of the spectators are fans of the visiting team?
918
896
224
202
1. A kite has a width to length ratio of 4:5, so let the width be 4x and the length be 5x. We know that the length is 80 cm. 80 = 5x
Divide by 5.
16 = x.
Now, the width is 4x.
16 times 4 is 64.
The width is 64.
2. Find the unit rate for each juice. The unit rate is ml / dollar.
The first juice has a unit rate of 150 / 1.
The second has a unit rate of 500 / 1.75.
The third has a rate of 1000 / 4.
The fourth has a rate of 2000 / 7.25
Put all values into a calculator. (First: 150, Second: 285.714285, Third: 250, Fourth: 275.862068966)
Whichever one can buy the most ml for a dollar is the best buy.
In here, that is the SECOND rate, which is 1.75 for 500 ml.
She earns 3% commission on all her sales, so if s represents her sales, she'd earn .03s. Inhere, she sells $950 in total. That is her total sales.
So you plug $950 into the equation as s.
.03 (950) = 28.5
She earned $28.50.
Poor Maya!
3. You set it up in ratios. She needs 250 mL of milk for every 325 mL of pancake mix. 250 milk / 325 mix.
But she only has 225 mix.
So you set up 250 milk / 325 mix = M milk / 225 mix
As in all proportions, you cross multiply.
250 x 225 = 325 x M
56250 = 325M
Divide by 325 on both sides.
173.076923077 = M
She needs about 175 mL. The fourth choice.
4. There are a total of 1120 spectators, made of only home team fans and visiting team fans.
There is a total of 100% of people, and 80% are supporters of the home team, so to find the supporters of the visiting team you subtract 100% by 80%.
100 - 80 = 20.
So 20% of the spectators are supporters of visiting team. Now 20% of the total, and 20% = .20.
.20 x 1120 = 224
224 people are fans of the visiting team.
5. A 500-mL bottle of insect repellent has 22 mg of DEET, a chemical used to keep mosquitos away. The same insect repellent sells in 710-mL bottles. Which of the following proportions can be used to find the amount of DEET in the larger bottle? *
If a 500 mL bottle has 22mg of DEET, then 500ml / 22mg
So set up the equation 500 / 22 = 710 / x
Now, cross multiply.
500x = 710 times 22.
500x = 15620
Divide by 500.
x = 31.24
Other possible proportions are:
22 / x = 500 / 710
x / 22 = 710 / 500
22 / 500 = x / 710
Hope this helps and hope I get Brainliest! Lol :)
I spent half an hour explaining and typing this :(
NEED HELP ASAP I AM BEING TIMED
Use the conversion factor method shown below to help answer the question.
How many seconds are in one day?
There is (BLANK)
seconds in a day.
Answer:
86400
Step-by-step explanation:
What does this mean?
Answer:
Its the symbol "pi" which is 3.14
Answer:
it means pi.
Step-by-step explanation:
pi = 3.14..........
pi goes on forever, it never ends.
HELP NOW PLEASE PLEASAE PLEASE
James has 875 feet of rope. There are 19 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
Each team will receive ___feet of rope.
Please help
Rewrite the product as a power: x^5x^8
Answer:
[tex]x^{13}[/tex]
Step-by-step explanation:
What exactly do I do...
Answer:
Step-by-step explanation:
So first you want to number your graph
The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center
Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7
Answer:
7.9 units
Step-by-step explanation:
You are required to find the distance between the points P and Q whose coordinates are given:
P (0, 0), Q(-4, 7)
[tex] QP= \sqrt{ {( - 4 - 0)}^{2} + ( {7 - 0})^{2} } \\ \\ = \sqrt{( - 4) ^{2} + {(7)}^{2} } \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{63} \\ \\ = 7.93725393 \\ \\ = 7.9 \: units[/tex]
The restaurant serves breakfast from 6 AM until 10:30 AM. They sell six every 15 minutes. Should the restaurant expect to sell more than or fewer than 100 omelettes? Explain your answer.
Answer:
The restaurant expect to sell more than 100 omelets
Answer:
They will certainly Sell more than 100.
Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!
What is the Product?
Answer:
-108
pls mark me brainlest :(
Step-by-step explanation:
Answer:
-108
Step-by-step explanation:
My tutor was no help !!! Help me please!!!!
2(5n+1???????????????!!!!!!
Answer:
10n+2
Step-by-step explanation:
Distributive property, 2(5n)+2(1)=10n+2
Answer:
The answer is 10n+2