Answer:
b
Step-by-step explanation:
The sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
Here is the correct question:
What is the sum of the first ten terms of the sequence 4, -12, 36, -108...
From the question,
The given sequence is 4,-12, 36, -108...
This is a geometric progression since it has a common ratio.
The common ratio, r = -3
Recall that,
Given a geometric progression, the common ratio, r is given as
[tex]r = \frac{T_{2} }{T_{1}} = \frac{T_{3} }{T_{2}} =\frac{T_{4} }{T_{3}} = ...[/tex]
From the given sequence,
[tex]T_{1} = 4[/tex]
[tex]T_{2} = -12[/tex]
[tex]T_{3} = 36[/tex]
[tex]T_{4} = -108[/tex]
∴ [tex]r = \frac{-12 }{4} = \frac{36}{-12} =\frac{-108} {36} = -3[/tex]
Therefore, the sequence is a geometric progression with a common ratio of 3
Now, to determine the sum of the first ten terms of the sequence,
From the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
Where [tex]S_{n}[/tex] is the sum of n terms
[tex]a[/tex] is the first term
[tex]r[/tex] is the common ratio
and [tex]n[/tex] is the number of terms in the series
From the question
[tex]a = 4[/tex]
[tex]r = -3[/tex]
and [tex]n = 10[/tex] (Since, we are to determine the sum of the first 10 terms)
Now, put the parameters into the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
We get
[tex]S_{10} = \frac{4(1-(-3)^{10}) }{1-(-3)}[/tex]
[tex]S_{10} = \frac{4(1-59049) }{1+3}[/tex]
[tex]S_{10} = \frac{4(-59048) }{4}[/tex]
[tex]S_{10} = \frac{-236192 }{4}[/tex]
[tex]S_{10} = -59048[/tex]
Hence, the sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
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What is 13/100 in simplest form?
Answer:
0.13
Step-by-step explanation:
So this is late help?
Answer:
area is 22 i think sorry if this doesn't help φ(*￣0￣)
BTW i like ur username
Step-by-step explanation:
Solve for x in simplest form. 3=7/2(3x−4)
Answer:
x = 34/21
Step-by-step explanation:
3 = 7/2 (3x-4)3 = (21/2)x - 28/23 = (21/2)x - 14(21/2)x = 1721x = 34x = 34/21Answer:
x = 34/21
Step-by-step explanation:
3 = 7/2 ( 3 x -4)
We need to perform a multiplication.
The following rule is applied:
In our example, the factors in the new numerator are:
, ,
Notice that all non-fraction factors are placed in the numerator.
The only factor in the new denominator is: 2.
We need to get rid of all the denominators in this equation.
This can be achieved by multiplying both the left and the right side by the Least Common Denominator.
In our example, the LCD is equal to 2.
Median Income per Household
Easy
PREVIOUS
NEKT
Amath class at Stevenson High School is studying a neighborhood outside of Chicago by
collecting household incomes. What is the median given the following known household
incomes of (in thousands)?
48,105,55, 68, 48, 78,39
Elimination Tool
А
48
B.
55
C
63
D
68
Which of the following statements is true? A)The number 0 is a natural number.
B)The number 1/2 is an integer.
C)The value π is a rational number.
D) The number -5 is a real number.
Answer:
A. The number zero is a natural number
Answer:
These are correct
A) TRUE
B) FALSE
C) FALSE
D) TRUE
According to the American music industry, the length of a song is normally distributed with a mean of 240 seconds and standard deviation thirty seconds. Suppose a random sample of fifteen songs is selected from the morning program. what is the probability that the length of the song is between 225 and 260 seconds long?
Answer:
96.89%
Step-by-step explanation:
Find the standard error:
s = σ/√n
s = 30 / √15
s = 7.75
Find the z-scores:
z = (x − μ) / s
z₁ = (225 − 240) / 7.75
z₁ = -1.94
z₂ = (260 − 240) / 7.75
z₂ = 2.58
Find the probability.
P(-1.94 < Z < 2.58) = P(Z<2.58) − P(Z<-1.94)
P(-1.94 < Z < 2.58) = 0.9951 − 0.0262
P(-1.94 < Z < 2.58) = 0.9689
Buzzard borrowed $40,500 on March 1, 2021. The principal is due to be collected in five years. Interest is receivable each March 1 at an annual rate of 10%. Record the adjusting entry for interest at its year-end of December 31.
Answer:
40,500 on March 1,2021 theoriincipal
Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
Answer:
x = -1/6, x = -0.16
Step-by-step explanation:
what is the value of X?
Step-by-step explanation:
The answer is 45
The total degree is 360 and opposite angles of two straight lines are equal so
3x+3x+x+x=8x
8x=360
X=45
BASEBALL The formula for a pitcher's earned run average, or ERA, is a = 9r/p. In
this formula, a is the earned run average, r is earned runs, and p is innings pitched.
b. Find the earned runs for a pitcher with an ERA of 2.63 who has pitched
89 innings.
Answer:
To find a baseball pitcher's earned run average you can use the formula EI 9r
To find a baseball pitcher's earned run average (ERA), you can use the formula Ei=9r, where E represents ERA, i represents number of innings pitched, and r represents number of earned runs allowed.
Step-by-step explanation:
Ax^2+bx+c=(x+p)(x+q) What you know about p and q if c is less than 0. WILL MAKE BRAINLIEST!! If u provide EXPLANATION :)
Answer:
From what I know there is no q.
p=0 I put a slight explanation below.Hope it helps
Step-by-step explanation:
Ax^2+bx+c-p=x
Ax^2+bx+c-p-x=x-x
Ax^2+(b-1)x+c-p=0
The sum
as three consicutive
multplies of 11 is
363
there eltiples.
Answer:
Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.
X = -7 is a solution to this equation -6X = 42 Question 5 options: True False
Answer:
True
Step-by-step explanation:
-6X = 42
Divide each side by -6
-6x/-6 = 42/-6
x = -7
Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?
Answer: she spent 126 hours on her math and science homework together
Step-by-step explanation: because i rounded.
Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min
Weldon bought a pair of hiking boots that cost $58.50 before tax. If an 8.5% tax is added to Weldon's total, how much did he spend in total on the hiking boots?
Help plssssssssssssss
Answer: Midpoint= (3,3)
Step-by-step explanation: Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]
[tex]MP= (\frac{8+-2 }{2}), (\frac{12+-6 }{2} )[/tex]
[tex]MP= (\frac{6 }{2}), (\frac{6 }{2} )[/tex] 6 divided by 2 = 3
[tex]MP= (3,3)[/tex]
PLEASE HELP I WILL MARK YOU BRAINLIEST AND SHOW SHOW AND EXPLAIN YOUR WORK PLEASE.
Answer:
a is da answer
Step-by-step explanation:
add the shaded squares and you get 21 but you cant put it over 8 so multiply the denominator by 4, (32), so then it is greater than your numerator. and that's how you get your answer.
9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p
Answer:
p = 3
Step-by-step explanation:
9x² - 16 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
Thus
9x² - 16
= (3x)² - 4²
= (3x + 4)(3x - 4)
Compare with (px + t)(px - t)
then p = 3
The area of a square is given by A=s2, where s is the length of each side of the square. If the area of a square room is 81 square meters, what is the length of one side of the room in meters?
Answer: The length of one side is 9m.
Step-by-step explanation:
If area is 81 square meters, that means A = 81 m^2.
Since A = s^2, we can substitute s^2 for A. Then
(s^2) = 81 m^2
Take the square root of both sides to solve for s:
(s^2)^(1/2) = (81 m^2)^(1/2)
s = 9 m
A cube has edges measuring 5 inches. Find the surface area of the cube.
5 inches
102 square inches
100 square inches
150 square inches
105 square inches
С
d
Answer:
150 square inches
Step-by-step explanation:
The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150
Answer:
150 square inches
Step-by-step explanation:
The surface area of the cube is
[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]
but it's a cube so all the areas are the same
[tex]S_A=6A_1[/tex]
and the area of
[tex]A_1=l^2[/tex]
[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]
so the surface area is
[tex]S_A=6(25)\\\\S_A=150[/tex]square inches
What property is (6+2)+4=4+(6+2)
Answer: commutative property of addition
Step-by-step explanation:
(a+b)+c=a+(b+c) -- Commutative property of addition
Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.
Thus, (6+2)+4=4+(6+2) is commutative property of addition.Hope this helps!! :)
Please let me know if you need further explanation with properties of addition.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.
Answer:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Step-by-step explanation:
Took the test
Find the value of x. [Picture below]
Answer:
56
Step-by-step explanation:
Answer:
56 degrees.
Step-by-step explanation:
a circle is 360 degrees, so 1/2=180 degrees.
all you have to do is take the other degrees, minus them from 180 and you have your answer
You can not multiply a fraction by a whole/integer number. is it true or false?
True
false
In Usatestprep.
Answer:
False
Step-by-step explanation:
As an example
[tex]\frac{1}{2}[/tex] × 6 = 3
Thus a fraction can be multiplied by a whole number/ integer
A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?
PLAYGROUND There are 87 children at a playground. There are 23 more boys than girls. How many of each are at the playground?
Answer:
G=32 B=55
Step-by-step explanation:
55+32=87
I know this answer is right bc I got it right on my ws.
I need help on 27-30
Given h(x) = -3x – 5, solve for x when h(x) = –2.
The value of x will be equal to -1 when the value of h(x) is -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-
h(x) = -3x – 5,
-2=-3x -5
3=-3x
x=-1
Therefore, the value of x will be equal to -1 when the value of h(x) is -2.
To know more about an expression follow
https://brainly.com/question/17032627
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What is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth.
9.8
4.5
10.2
1.5
Answer:
10.2
How I found this answer:
4+6=10
3-1=2
10^2+2^2=104
The square root of 104 is 10.1980390272, which can be rounded to 10.2
3a+8 7 anyone know the answer?
Answer:
if you put 3a+87 the answer is 3(a+29)... but if u put 3a+ 8/7 the answer is 1/7*(21a+8)
Step-by-step explanation: