The 12th term of the given geometric sequence is equal to -8,388,608.
Given the following sequence:
2, -8, 32, ...What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]
12th term = -8,388,608.
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GUYS PLEASE HELP ME! Brainliest.
A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to
create Triangle A'B'C'.
The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.
What are the lengths of the sides on the new Triangle A'B'C'?
A. A' = 8ft, B' = 6ft, C' = 10ft
B. A' = 2ft, B' = 1.5ft, C' = 2.5ft
C. A' = 3.5ft, B' = 2.5ft, C' = 4.5ft
D. A' = 4.5ft, B' = 3.5ft, C' = 5.5ft
Answer:
I think it's B or A. Im not sure. sorry if i'm wrong.
Consider the expression below
30b - 6C.
Factor the expression using the GCF.
Part B
What is the value of the expression
when b= --4 and c= 1?
Solution:
To factorize an expression, the minuend and the subtrahend must be divisible to a number.
=> 30b - 6cIn this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:
=> 6(5b - c)Now, if we substitute the values into the distributive property....
=> 6[5(-4) - 1]=> 6[-20 - 1]=> 6[-21]=> 6 x -21 = -126Learn more about factorization: https://brainly.com/question/22097012
it’s 4:45am someone please help
for the drop down lists:
f(4)=
• -11
• -2
• 1
• 30
if g(x)= 2, x =
• 0
• 2
• 5
• 30
Answer:
see below
Step-by-step explanation:
f(4) = -11
g(x) = 2,x = 0
Alicia invests £175 for n years into a savings account. Alicia was paid 2.5% per annum compound interest. At the end of the n years Alicia had £316.53 in the savings account. Work out the value of n.
The number of years it took the amount invested to accrue to £316.53 is 23.7 years.
What is compound interest?Compound interest is when both the money invested and the money already accrued earn interest.
What is the number of years?Number of years = in(fv / pv) r
FV = future value
PV = present value
r = interest rate
(IN 316.53 / 175) / 0.025 = 23.7 years
To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217
when should you use dot plots and why?
PLEASE HELP ME!!!!!!!!!!!
Answer:
3y
Step-by-step explanation:
Sqrt of 9 = ±3
-±3[tex]\sqrt{y^{2} }[/tex]
the square and sqrt cancel leaving you with -±3y
Since y < 0, the sqrt of 9 should be -3 to cancel out the - sign in front.
Hope that helps
10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time visitors on a given day, what is the probability that exactly 36 of them buy a product? Round your answer to the nearest thousandth. Answer choices: 0.044 0.080 0.450 0.550
Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.
For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.There are 75 first-time visitors on a given day, hence n = 75.The probability that exactly 36 of them buy a product is P(X = 36), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044[/tex]
More can be learned about the binomial distribution at https://brainly.com/question/24863377
please help with math
Answer:
240 cm²
Step-by-step explanation:
Split the shape into a trapezoid (top half) and a rectangle (bottom half).
Area of a rectangle = width x length
⇒ area = 6.5 x 20 = 130 cm²
[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]
(where a and b are the lengths of the base and top, and h is the height)
⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]
⇒ area = 110 cm²
Total area = area of rectangle + area of trapezoid
⇒ area = 130 + 110 = 240 cm²
An eighth-grade teacher wants to improve how the students function in small groups. What is the best strategy for improving the functionality of the small groups
Answer:
I don't think you are asking a math question, but in my opinion you should choose a leader that you think would be responsible in a group, then tell them what the group needs to do.
Step-by-step explanation:
Archie cycled for 12 hours at an average speed of 23 km/h.
Jade travelled the same route as Archie but it took her 2 hour 45 minutes.
What is Jade's average speed to 1 dp?
Answer:
100.4 km/h (1 dp)
Step-by-step explanation:
If Archie cycled for 12 hours at an average speed of 23 km/h, then the total distance he cycled is:
total distance = 12 x 23 = 276 kmconvert 2 hours 45 mins to decimal:
2 hours 45 mins = 2 + 45/60 = 2.75 hoursTherefore, if Jade took 2.75 hours to travel 276 km, her average speed is:
average speed = 276 ÷ 2.75 = 100.4 km/h (1 dp)For Archie
Avg speed=23km/hTime=12hDistance=23(12)=276kmNow
for Jade
Time=2h 45min=2+3/4h=2+0.75h=2.75hAvg speed:-
[tex]\\ \tt\Rrightarrow \dfrac{276}{2.75}[/tex]
[tex]\\ \tt\Rrightarrow 100.4km/h[/tex]
How many lines are
perpendicular to AB?
A. 1
B. 2
C. 3
50. Given GH with endpoints (-11.4) and H-1.-9), what are the coordinates of the midpoint of GH?
A (-12,-5)
C (-10, 13)
B (-6.-2.5)
D (-5.6.5)
Please explain/ dumm it down for me
[tex]\huge \boxed{\sf (-6,-2.5)}[/tex]
[tex]\sf Midpoint \ formula:\\\\ \displaystyle (x_m, y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \\\\\\ \frac{-11+-1}{2}, \frac{4+-9}{2}=\frac{-12}{2}, \frac{-5}{2} =-6,-2.5[/tex]
The midpoint formula can determine the midpoint of a line segment given its endpoints. The midpoint is the location midway between two endpoints, as the name may have already implied. Divide the total of the x-values by 2 and the same for y-values.
Question 18 Solve simultaneously x + y = 6 6x - 5y = 14
Answer:
(4, 2)Step-by-step explanation:
Given system:
x + y = 6 6x - 5y = 14 Solve by elimination, multiply the first equation by 5 and add up equations:
5x + 5y + 6x - 5y = 5*6 + 1411x = 44x = 4Find y:
4 + y = 6y = 6 - 4y = 2Answer:
x = 4
y = 2
Step-by-step explanation:
Rewrite x + y = 6 to make y the subject:
⇒ y = 6 - x
Substitute y = 6 - x into 6x - 5y = 14 and solve for x:
⇒ 6x - 5(6 - x) = 14
⇒ 6x - 30 + 5x = 14
⇒ 11x - 30 = 14
⇒ 11x = 44
⇒ x = 4
Substitute x = 4 into x + y = 6 and solve for y:
⇒ 4 + y = 6
⇒ y = 2
Solve each system of linear equations by elimination.
3x-2y=3
-x+y=1
Answer:
x=5, y=6
Step-by-step explanation:
Double the second equation to give you:
-2x+2y=2
Now we add the 2 equations to eliminate the y:
3x-2y=3
+
-2x+2y=2
x=5
Now we substitute this value to give us:
3(5)-2y=3
15-2y=3
-12=-2y
y=6
You can substitute both these values in equation 2 to see if it works:
-x+y=1
-(5)+6=1 ✅
Simplify This Equation!
Answer:
[tex]=5^{\frac{5}{6} }[/tex]
Step-by-step explanation:
[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]
Hope this helps
Step-by-step explanation:
any root of a number can be written as fraction in the exponent of that number.
so, here, the square root of 5 is 5^1/2.
and the cubic root of 5 is 5^1/3.
what happens, when we multiply the same base number with exponents ?
a^n × a^m = a^(n+m)
and so we get here
5^1/2 × 5^1/3 = 5^(1/2 + 1/3)
how do we add fractions with different denominators ?
we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.
so,
1/2 + 1/3 = 3/6 + 2/6 = 5/6
therefore, the simplified solution is
5^5/6
the first answer option is correct.
3x²-4x-7=0 find out b and c
Answer: there is no b and c so you cant find b and c
Step-by-step explanation:
6 3/4 as a decimal number
Answer:
6.75.Step-by-step explanation:
Remember:
Numbers, 2, 4, 5, 8, 10, 100, and 1,000 can only be decimals.So, we do division:
(Without the whole number).3 ÷ 4= 0.75.6 + 0.75= 6.75.6 3/4 = 6.75.
Answer :
[tex]6\frac{3}{4}[/tex]
= 6.75
3(2x-7=5-(1-x) pls help me
Answer:
3 • (2x - 7) - (x + 4) = 0
then do 3.1 Pull out like factors :
5x - 25 = 5 • (x - 5)
5 • (x - 5) = 0
4.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Step-by-step explanation:
Answer:
[tex] \sf \: x = 5[/tex]
Step-by-step explanation:
Given equation,
→ 3(2x - 7) = 5 - (1 - x)
Now the value of x will be,
→ 3(2x - 7) = 5 - (1 - x)
→ 6x - 21 = 5 - 1 + x
→ 6x - x = 4 + 21
→ 5x = 25
→ x = 25/5
→ [ x = 5 ]
Hence, the value of x is 5.
Given a fair six-sided number cube. What is the probability of the complement of rolling a 3 or 4?
Question 8 options:
2/6
1/3
1/2
2/3
Here are the monthly charges of Jim’s mobile phone
Monthly charge £20
100 free minutes then 9p per minute
200 free texts, then 11p per text
During one month,Jim makes 140 minutes of calls and sends 261 texts
Workout the total charge for the month
For the given data the monthly charges for Jim’s mobile phone will be £31.31.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.
If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,
40x9=£3.60
If there are 200 free texts, then it cost 11p per text as a result, The charge is applied for text,
61x11=£6.71
The total charge for the text and call is,
£6.71+£3.60=£10.31
If the monthly charge is £20. The total charge for the month,
£20+£10.31=£31.31
Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.
Learn more about the arithmetic operation here:
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#SPJ5
greatest comman factor of 15 + 80
Answer:
5
Step-by-step explanation:
15 has 2 factors 5 and 3
80 gets split into 16 and 5
then split into 8 and 2
then 2 and 4
then 2 and 2
the GCF therefore is 5
Find the circumference of the circle below:
Answer:
Circumference: 62.83
Step-by-step explanation:
Formula:
2 • π • r
OR
2 • 3.14 • 10
Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!
help please
Solve the problem and explain the steps taken.
There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0.10 of the project, and Kwa has completed 1/9 of the project. Make a list of the students in order from least to greatest by the amount of the project they have completed.
Answer:
Jatziry, Kwa, Miguel, Gina
Step-by-step explanation:
I changed it into decimal.
0.1, 0.11, 0.125, 0.13
What is - 1/4(-8x+12)???
Answer:
2x-3
Step-by-step explanation:
For this problem, we need to use the Distributive Property.
Use the Distributive Property:
[tex]-1/4(-8x+12)[/tex]
[tex]2x-3[/tex]
2x-3 is your answer.
Calvin’s credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14. 75%. The following table details Calvin’s transactions in the month of September. Date Amount ($) Transaction 9/1 716. 54 Beginning balance 9/7 84. 94 Purchase 9/12 15. 69 Purchase 9/20 200. 00 Payment What will Calvin’s starting balance be next month? a. $617. 17 b. $624. 74 c. $625. 91 d. $623. 52.
Answer:
c. $625. 91
Step-by-step explanation:
The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle. Then, the balance is multiplied by the monthly interest rate to assess the customer's finance charge—dividing the cardholder's APR by 12 calculates the monthly interest rate.
How do you do this question
Answer:
helllo friend
Step-by-step explanation:
i dont know how to do it
help a friend outttt, it’s urgent. last two questions!!! I’ll brainlist you :)
Answer:
4c(4- 3g)
question 8
when factorised 16c-12cg is
4c Is common to both 16c and 12cg
so we bring out 4c
4c( 4- 3g)
question 4
from what I can see through the diagram the hypotenuse is 15 and the adjacent is 9 and we're asked to find titre
so we use the relation cos titre= adjacent/hypotenuse
cos titre= 9/15
cos titre=0.6
therefore titre is cos inverse of 0.6 which is 53.13
what is the distance between (-6,8) and (-3,9)
A) 4
B) 6
C) square root of 10
D) square root of 15
Answer:
I would say it is close to 4, but not 4.
Step-by-step explanation:
So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1
square root of 10 = 3.1
square root of 15 = 3.8
The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.
(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)
If two geometrical figures are congruent, then their corresponding sides are
Answer:
congruent
Step-by-step explanation:
If two geometrical figures are congruent, then their corresponding sides are congruent.
Pls help what is side AB
Answer:
sin●=opposite/hypotenuse
sin25=2/AB
AB=2/sin25
AB=4.73