Answer:
A9 = 393216
Step-by-step explanation:
the first thing that will help you solve this question is finding the common ratio between each terms
the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly
in your case, the common ratio is -4
- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!
so now you can go about this two different ways
1. solve directly for the 9th term
2. use the nth term formula for geometric sequences
METHOD 1:
if you continue to multiply by -4 to solve for each term you would end up with:
6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216
and you will recieve 393216 as your answer
METHOD 2:
the nth term formula is An = A1*r^(n-1)
where An = the nth term of the sequence
A1 = first term of the sequence (6)
and r = common ratio
using this formula, you would get:
A9 = 6(-4)^8
A9 = 393216
I hope this helped :)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A population of 470 animals decreases at an annual rate of 12%.
a.f(x)=470(1.88)x
b.f(x)=470(0.12)x
c.f(x)=470(0.88)x
d.f(x)=470(1.12)x
Answer:
C. f(x) = 470(0.88)ˣStep-by-step explanation:
Initial number = 470Decrease rate = 12% ⇒ 100% - 12% = 88% ⇒ 0.88 timesRequired equation:
f(x) = 470(0.88)ˣCorrect choice is C
A fourth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 10 minutes and a standard deviation of 3 minutes. The time to complete the language arts assignment has a mean of 12 minutes and a standard deviation of 4 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation rho = -0.75. The variance of the time to complete the entire homework assignment is
Answer:
4
Step-by-step explanation:
Given that:
X = time taken to complete mathematics homework
Y= time taken to complete language homework
Standard deviation of X ; SD(X) = 3
Standard deviation of Y ; SD(Y) = 4
rho = - 0.375
rho = Cov(X, Y) / SD(X) * SD(Y)
-0.375 = COV(X, Y) / 3 * 4
COV(X, Y) = 12 * - 0.375
COV(X,Y) = - 4.5
Variance(X, Y) = V(X, Y)
V(X, Y) = V(X) + V(Y) + 2COV(X,Y)
V(X) =SD(X)² = 3² = 9
V(Y) = SD(Y)² = 4² = 16
V(X,Y) = 9 + 16 + 2(-4.5)
V(X, Y) = 16
SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4
Hence, standard deviation to complete entire homework, SD(X, Y) = 4
Please help!!!!!!! I need it fast
Answer:
i believe that the answer is C 19cm
Answer:
I think A
Step-by-step explanation:
the circle is 6 cm and the circumference(the distance between the thing) is 9 cm
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.
Answer:
They will be parallel.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.
If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.
Change 22 metres per second to a speed in kilometres per hour.
Show your working clearly.
Answer:
79.2 km/hour
Step-by-step explanation:
1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour
Edward has $20,000 in a savings account that earns 13% interest per year. The interest is not compounded.How much interest will he earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$
Answer:
22,600
Step-by-step explanation:
someone please help me solve this: - 2x + 10 + 5x = 40
Answer:
X=10
Step-by-step explanation:
So, -2x+10+5x=40. first we subtract ten from both sides, getting us to -2x+5x=30, then we subtract 2x from 5x, because its negative, getting us to 3x=30, basically x=10.
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
Answer:
it takes 6 hours 40 minutes
Answer: 6.75 hours
Step-by-step explanation:
540%80=6.75
A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Learn more : https://brainly.com/question/1166214
Answer:b
Step-by-step explanation:
plato
Nadia's class took a math test. The median score on the test was 72% and the mean of the test scores was 72%.
What does this tell you about the data set?
The data shows causation.
The data is accurate.
The data is symmetrical.
Answer:
C, or "The data is symmetrically"
Step-by-step explanation:
This is because when having both the median and the mean the same, this means their is a perfectly symmetrical distribution of data. Making both the mean and median the same.
24% of 40
I need it worked out pls thank uuu:)
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
[tex]\frac{18}{2} = 9[/tex]
[tex]\frac{18}{3} = 6[/tex]
[tex]\frac{18}{4} = 4.5[/tex]
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
[tex]\frac{-12}{-6} = 2[/tex]
So, Natalie cards are: 6 card number -6
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft
Answer:
$442
Step-by-step explanation:
Given :
Height of patio, h = 8ft
Base of patio = 17 ft
Cost of carpeting = $6.50 per ft²
Area of triangular patio :
Area = 1/2 * base * height
Area = 0.5 * 17 * 8
Area of patio = 4 * 17
Area of patio = 68 ft²
Cost of carpeting :
Area of patio * contains st per ft²
68 * 6.50
= $442
jack tripper has 5 girls in his home. He takes away 3 of them to do something that should not be named how many girls r left
Answer:
uh i think 2 i just want points
Step-by-step explanation:
If x equals 8 what is the volume.
Answer:
I think it might be 9420 Im not sure though
Step-by-step explanation:
Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3
PLZ HELP ME WITH THIS, I'VE BEEN STUCK ON THIS FOR A WHILE.
You sell large and small pictures at a fair. You sell a total of 16 pictures and made a total of $350. If large pictures sell for $25 and small pictures sell for $20. How many of each did you sell?
Answer:
it is blink
Step-by-step explanation:
vgftr
Can someone help me with Tuesday’s question??
Answer:
B
Step-by-step explanation:
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE!!:)
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answer:
w = -0.5
Step-by-step explanation:
Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.
w = -0.5
Answer:
-0.5
Step-by-step explanation:
divide 3.4/-6.8= -0.5
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answer:
Step-by-step explanation:
Please Help me!!!
The question is:
Which graph shows the solution to y > x – 8?
Answer:
the answer is B
Step-by-step explanation:
If y=2x and 3x – 3y = 2, then x
Answer:
x = - 2/3
Step-by-step explanation:
2x = y
3x - 6x = 2
- 3x = 2
- 3x ÷ - 3 = 2 ÷ - 3
x = 2 ÷ - 3
x = - 2/3
In the following equation, which number is the slope (rate of change) and which is the y-intercept?
y = 32 - 4
Slope:
Y-Intercept:
Answer: Slope: 3z
Y intercept: -4
Step-by-step explanation:
plz help meh (ASAP) question below
Answer:
It's D I believe.
Step-by-step explanation:
I had this question before.. hopefully this helps
Simplify: 3x + 6y - (4x - 2y)
Answer:
-x + 8y
Step-by-step explanation:
Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A
Consider the following pair of equations:
-X - y = -5
y = x + 1
If the two equations are graphed, at what point do the
lines representing the two equations intersect? (4 points)
O (-2,3)
O (3,-2)
O (3, 2)
(23)
HELP ASAP
Answer:
Yeah i don't get it i have the same problem
Answer:
It is not (−2,3).
Step-by-step explanation:
What is the range of (-5, 2), (-2, 4), (2, -7), (4, 8)?
mii need halp
im givin brainliest dis time
Answer:
x = 35 , y = 72.5
Step-by-step explanation:
(a)
x and 35° are vertical angles and are congruent, then
x = 35
(b)
y. y and 35 lie on a straight line and sum to 180°, that is
y + y + 35 = 180
2y + 35 = 180 ( subtract 35 from both sides )
2y = 145 ( divide both sides by 2 )
y = 72.5
Answer:
y = 72.5 degrees
X = 35 degrees
Step-by-step explanation: A straight line is 180 degrees. The line with the two y degrees and the 35 degrees is a straight line, which is = 180 degrees. Because the y degrees are the same variable (y) they are equal degrees. All you need to do to find y is 180-35 =145. Divide that by 2 to find both y’s. 145 / 2 = 72.5. You can do the same for x, or realize that x and 35 are alternate interior angles, meaning they are the same measure: 35 degrees.