Write an explicit formula for the sequence and use it to find the eleventh teen in the sequence.
Answers
Given:
The sequence is 2, 4, 8, 16,... .
To find:
The explicit formula for the sequence and use it to find the eleventh teen in the sequence.
Solution:
We have,
2, 4, 8, 16,...
It is a GP because the ratio between two consecutive terms are same..
Here,
First term: [tex]a = 2[/tex]
Common ratio: [tex]r=\dfrac{a_2}{a_}[/tex]
[tex]r=\dfrac{4}{2}[/tex]
[tex]r=2[/tex]
The explicit formula of GP is:
[tex]a_n=ar^{n-1}[/tex]
Putting [tex]a=2,r=2[/tex], we get
[tex]a_n=2(2)^{n-1}[/tex]
Put n=11 to find the 11th term of the given sequence.
[tex]a_{11}=2(2)^{11-1}[/tex]
[tex]a_{11}=2(2)^{10}[/tex]
[tex]a_{11}=2(1024)[/tex]
[tex]a_{11}=2048[/tex]
Therefore, the correct option is D.
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A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
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Answer: 3/4 cup
Step-by-step explanation: yeah
please help <3 it would mean the world to me
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Answer:
9
Step-by-step explanation:
Answer:
9 Is the answer
Step-by-step explanation:
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Answer:
I cant see the photo it won't load
Step-by-step explanation:
Given that (-1,-1) is on the graph of f(x), find
the corresponding point for the function
f(x - 5).
Answers
Answer:
(-1, -6)
Step-by-step explanation:
f(x -5) is another way to say f(x) - 5
And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)
simplify 74.34 - 2.1 × (6.05 - 4.05)³
Answers
use the Pythagorean theorem to find L
Answers
Answer:
l = Square root of 10
10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3
Answers
Answer:
The answer is C hopefully this helps
Step-by-step explanation:
convert the fraction into a decimal
12/25
Answers
Answer:
it would be 0.48
Step-by-step explanation:
yeah you divide
[tex]{ \large{ \sf{ \dfrac{12}{25} = 0.48 }}}[/tex]
A sequence is given by the rule 4n – 5
Will the number 25 be a term in the sequence?
Explain why or why not.
Answers
Know divide away each n on respective side you get:
a=4+1/n
Know when n=0, 1/0 is not defined there’s that
n=1 , 4+1/1 = 5
n=2 , 4+1/2 = 4.5
n=3 , 4.33
n=4, 4.25
What is the answer to thisss ?????
Answers
Explanation: The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( to convert from centimeters to meters we just divide by 100, because 1m =100cm). therefore the volume of each box is 0.063 m3
Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume is: 12.096 m3
So the amount of boxes that Ellie can put in the van is equal to the volume of the van divided by the volume of each box: 192 boxes
So 192 boxes can be put into the van.
Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be: 64 minutes
So it takes Ellie 64 minutes to put as many boxes into the van as she can.
2. Write two numbers that are opposites and each more than 6 units away from 0.
Answers
Answer:
-7, 7
Step-by-step explanation:
Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)
160 minutes
i just took the test
Answers
Answer:
160 min= 2hr and 40 mins?
Step-by-step explanation:
(Zoom in to see the problem)
I’M MAKING BRAINLIEST!!!!
Answers
Answer:
click the points (0,4) and (1,5)
Step-by-step explanation:
y = x+4
if x = 0 then
y = 0+4
so y = 4
0 , 4
then if x = 1
y = 1+ 4
so y = 5
1 , 5
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer: The correct answer is A
Step-by-step explanation:
At 1, there is a start of $45
Then for 2 it adds $25
Then 3 adds $25 dollars.
Because 1 started at $45, that means it is a rate of 25 dollars per hour, but a starting cost of 20+25= $45.
Hope this helped!
Write an equation for each graph in a slope
Intercept form
Answers
Answer:
y=2x-3
Step-by-step explanation:
Y-intercept can be read off the graph.
Slope can be determined using the formula:
y2-y1 divided by x2-x1 (Substitute co-ordinates)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
Where m is the slope and b is the y intercept
Slope is rise over run, the line is up 2 over 1
And the point of the line where it meets the y axis is -3. so b is -3
There are 30 students in Mrs. Krzyzewski's class. None of them has a first name that begins with the letter "U" or the letter "Y." Eight of her students have first names that begin with "A," five have first names that begin with "E," two have first names that begin with "I", and three have first names that begin with "O."
Based on this data, what is the probability that a randomly-selected student from Mrs. Krzyzewski's class has a first name that begins with a consonant?
Answers
Answer:
i need help with this question too so can any one help us
Step-by-step explanation:
i need help as well cuhhhhh
A store is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d , and it's original price, p.
Answers
Answer:
80%p=d
Step-by-step explanation:
20% discount is 80% of original.
An equation for the relationship between the discount price of an item, d, and it's original price, p is p = 0.8d.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A store is offering a 20% discount on all items.
Let the discount price of an item, d, and it's original price, p.
The original price = (100 - 20%)discount price
p = 80%d
p = 0.8d
Therefore, p = 0.8d is the required equation.
To learn more about the percentage;
brainly.com/question/24159063
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what is 5+37+1=?
I could use some help I have been stuck on this one all day is anyone good at math and wants to help me?
Answers
43 is the answer
Hoped I help :)
Answer:
the answer to the equation 5+37+1 = ? is 43
Step-by-step explanation:
37+5= 42
42+1= 43
I need to solve for x this is really easy I just don't have the time to do it please help.
Answers
2x+76=180
2x=104
x=52
Hope this helps!! :)
Answer:
2x+76°=180°[by co interior angle]
2x=180°-76°
2x=104°
x=104°/2
x=52
b) Write down an expression for the nth term of the following sequence.
9,
14,
19,
24,
Answers
Answer:
32,41,51,62,74,87,101
Factor 4x^4+8x^2+1
PLZ try hurry ;-;.....anyone?
Answers
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab.
What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answers
Answer:
1/4
Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
Hope this helps and best of luck!!
Answer:
0.25
Step-by-step explanation:
I took the test on khan.
Jana wrote the expression 5n+3 as part of a problem she was solving. She wanted Sally to read it back to her verbally so she could check her work. Which verbal description best represents the expression 5n+3 (PLEASE ANSWER AS QUICK AS POSSIBLE!!)
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
three more than five times some number n
The Red Cross is distributing water to
disaster victims. They have 500 gallons of
water and they give 2 gallons to each
person in need. Write an equation
describing the amount of water, w, the Red
Cross has left and the number of people, p,
they have helped
Write the equation, then state how many victims could receive water until the red cross has only half of the original water that they started with left ?
Please help me asap it’s due in 30 minutes!
Answers
Step-by-step explanation:
500=2x
x= 250....ppl can get water
250==2x
125....ppl can get water now
HELP ME PLEASE FOR THE SAKE OF GOD :)
Answers
200+16=216
The initial amount after a year will be 216$
12, 17, 22... find the 35th term
Answers
Answer:
a₃₅ = 182
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 17 - 12 = 22 - 17 = 5
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 , then
a₃₅ = 12 + (34 × 5) = 12 + 170 = 182
$70 shoes, with 6% sales tax
Answers
Answer: $4.20
Step-by-step explanation:
Answer:
Shoes would cost $74.2 with tax
Step-by-step explanation:
70 * 0.06 = 4.2
70+ 4.2 = 74.2
B. ( -3, 4) , ( 3, 4 ) , ( 1, -4 ) , ( -2, -4 )
D. ( -4, 1) , ( 1, 2 ) , ( -1, -4 ) , ( -3, -4 )
C. ( -2, 3) , ( -4, 3 ) , ( -1, 2 ) , ( -4, -2 )
A. ( -3, 4) , ( -4, 3 ) , ( -4, 1 ) , ( -2, -4 )
Answers
Answer:
B
Step-by-step explanation:
There isn't really much explaining I can do but each time you find the co-ordinate of a point you can cancel out a possibility.
For example, one of the points is (-3,4) and the only one without this point is C so that answer is cancelled out, and you keep going this way until you are left with only on possible answer and that should be B.
Top left = (-3,4)
Bottom left = (-2, -4)
Top right = (3,4)
Bottom right = (1,-4)
(-3,4) is the point/dot on the top left corner.
(3,4) is the point on the top right corner.
(1,-4) is the point on the bottom right corner.
(-2,-4) is the point on the bottom left corner.
Benjamin spent $31.20 on ten gel pens. How much did each pen cost?
Answers
Answer:
$3.12
Step-by-step explanation:
31.20 divided by 10 = 3.12
What single percentage change is equivalent to a 12% decrease followed by a 18% increase?
Answers
Given:
12% decrease followed by a 18% increase.
To find:
The single percentage change is equivalent to the given set of percentages.
Solution:
Let the initial value be 100.
After 12% decrease, the value is:
[tex]v_1=100-\dfrac{12}{100}\times 100[/tex]
[tex]v_1=100-12[/tex]
[tex]v_1=88[/tex]
After 18% increase, the value is:
[tex]v_2=88+\dfrac{18}{100}\times 88[/tex]
[tex]v_2=88+15.84[/tex]
[tex]v_2=103.84[/tex]
The initial value is 100 and the new value in 103.84. So, it represents increase in the value. So, increase percentage is
[tex]Increase\%=\dfrac{\text{New -Initial}}{\text{Initial}}\times 100[/tex]
[tex]Increase\%=\dfrac{103.84-100}{100}\times 100[/tex]
[tex]Increase\%=3.84[/tex]
Therefore, the value increased by 3.84%.