The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence
Answer:
second term: 9
4th term:81
[tex](3rd \: term)^{2} = 9 \times 81[/tex]
=729
[tex] \sqrt{729} = 27[/tex]
3rd term=27
[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]
a1=3 the first term
[tex]81 = 3 \times {q}^{3} [/tex]
[tex] {q}^{3} = 27[/tex]
q=3
[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
4 points
Answer:
3 points
Step-by-step explanation:
A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).
So the relation can be represented with points (x, y), which means that point x is being mapped into point y.
Such that the needed condition is that each element of the domain is mapped into only one element in the domain.
So for example, if for a relationship we have the points (a, b) and (a, c)
The point a is being mapped into two different outputs.
Now let's go to our problem, we have the points:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)
If we have repeated inputs, we need to remove points until we have one of each.
We can see that the inputs -3, 1, and 2 are repeated one time.
Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:
(-3, 2), (1, 4), and (2, -4)
This is a function.
Then we need to remove 3 points.
Answer:
C) 3 POINTS
Step-by-step explanation:
ON EDGE 2021
What is 468,839 rounded to the nearest hundred thousand?
Answer:
500,000
Step-by-step explanation:
Answer:
500,000
hope this is right
Please help me !!!!!!!!!!!!!!!!!!!
Answer:
5) arccos A = 28°
6) arcsin A = 53°
Step-by-step explanation:
5) cos A = 30/34
6) sin A = 32/40
5)
For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).
In this case,
cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17
6)
For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.
In this case,
sin(A) = opposite / hypotenuse = 32 / 40 = 4/5
A way to remember sine, cosine, and tangent is SOHCAHTOA, where
SOH is Sine = Opposite / Hypotenuse
CAH is Cosine = Adjacent / Hypotenuse
TOA is Tangent = Opposite / Adjacent
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
The graphs of triangles LMN and NOP are shown.
which of the following best describes the slope of line LP?
A) 5/2
B) 2
C) 2/5
D) 1/3
===========================================================
Explanation:
Point L is located at (-8, 1) while P is at the point (7,7)
Let's apply the slope formula for these two points
m = (y2-y1)/(x2-x1)
m = (7-1)/(7-(-8))
m = (7-1)/(7+8)
m = 6/15
m = (3*2)/(3*5)
m = 2/5 is the slope of line LP
A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.
2. Jose is looking for a job while he takes part-time college classes. The
salaries for three jobs he is interested in are shown below. How much
more will he earn as a veterinary tech than a barista for the four years he
is in school? *
BARISTA:
19,630$
ANIMAL
GROOMER:
$22,230
VETERINARY
TECH:
$32,490
A. $41,040
B. $10,260
C. $12,860
D. $51,440
Answer: 51,440
Step-by-step explanation:
If a Veterinary tech earns 32,490 and a Barista earns 19,630
You're gonna create the equation ( 32,490 x 4 ) and get 129,960. Then your gonna subtract ( 19,630 x 4 ) from 129,960 and get around 51,440.
Also, you get the 4 from the number of years he works, which is 4.
The number of light bulbs produced by a company can be modeled by the expression
15x^3+16x^2–100x+51, where x is the number of years passed since 1980. The number of companies
purchasing the light bulbs is represented by 5x–3. Which is the expression representing the average number
of light bulbs purchased per company?
Answer:
Expression is 3x² + 5x - 17
Step-by-step explanation:
We are told the number of lights produced by a company is;
Number of lights = 15x^3 + 16x^2 – 100x + 51
Also, number of companies that purchased the light bulbs is 5x - 3.
Thus;
The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)
I have attached the calculation using long division method to get;
3x² + 5x - 17
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
What is the exact value of the trigonometric function?
(4 pts)
cos(600)
Answer:
45 man all day long
Step-by-step explanation:
i say 45 because it just is.
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.
Answer:
::::::::::::::::::
5:2
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
help me get this answer please
Answer:
First, we find how many red beads there are:
2 + 1 + 3 = 6
12 - 6 = 6
Red beads = 6
Now we add the red beads and the purple beads:
Purple beads = 3
Red beads = 6
3 + 6 = 9
9/12 = 3/4
Hope this helps!
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answer:
7/20
Step-by-step explanation:
You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB
Answer:
-2/5
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= (3-9)/(0+15)
= -6/15
= -2/5
pls help i fr HAVE TO PASS THIS SIX WEEKS
Answer:
pretty sure its 68 or 66 dont put 34 tho lol
please help im stuck on this
Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?
Answer: 33.33%
This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is
Question Completion:
California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
(ii) about 1/V2 times as accurate
(iii) about as accurate
(iv) about V2 times as accurate
(v) about twice as accurate
as a simple random sample of 1000 people in New York State.
Answer:
If the underlying population SDs are equal, a simple random sample of 1000 people in California is
(i) about half as accurate
as a simple random sample of 1000 people in New York State.
Step-by-step explanation:
Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.
Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.
This is because accuracy is enhanced by a larger sample size. This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.
When finding the volume of a triangular prism, why is it necessary to multiply by 1/2 or divide by 2?
What is the radius of the button? 26 millimeters
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
hi lol Idek anyways tell me if its wrong
how does 3.1416 come
Answer:
It is the value of pie(22/7)
Which expression is equivalent to -14 - 32d
A. -7(2-5d)
B. 7(2-5d)
C. 7(-2+5d)
D. -7(2+5d)
4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.