The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
The nth term of a geometric sequence is given mathematically as;
T(n) = ar^n
where, a = first term of the geometric sequence.r = common ratio of the sequenceand n = nth term of the sequence.Therefore, the sum of the first 8 terms of the geometric sequence is;
S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.
In essence;
since common ratio, r = 2 and first term, a = -2.5Therefore, we have;
S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)S(8) = -2.5(255)S(8) = -637.5.
Therefore, the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
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help please and thank youu
Answer:
5
Step-by-step explanation:
f(x) just means y
find the spot on the line that hits y at 7.
then look directly down to the x line to see that the intersection is (5,7)
J=b-q/g solve for b.
Answer:
[tex]j = b - \frac{q}{g} \\ j + \frac{q}{g } = b \\ b = \frac{gj + q}{g} \\ thank \: you[/tex]
Find the value of x.
You want to buy a phone that costs $500. You already saved $100, and you plan to save $40 every week. How many weeks would it take to meet your goal of $500?
It is predicted that a softball team will win 35 out of their 50 games after 20 games they have won 16 what will be percent error
Answer:
Step-by-step explanation:
evaluate the expression for the given value of x
1. 2+x+(-7);x=8
2. x+7+(-7);x=4
Answer:
1. 3 2. 4
Step-by-step explanation:
1. 2+8+(-7)
2+8-7
3
2. 4+7+(-7)
4+7-7
4
Answer:
x =-1
Step-by-step explanation:
what is the graph of the function rule?
y= 4x - 1
Answer:
join the two points
Step-by-step explanation:
（x,y) = (1,3)
(just by substituting the number into the equation to make it fit)
then, also draw a point at (0.-1)
Answer:
I hope this helps, and is what you are looking for.
good luck!
5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇
Answer:
Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;
Step-by-step explanation:
Remember:
When adding positive numbers, count to the right. When adding negative numbers, count to the left. Add when two of the same signs appear next to each otherA park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?
The actual area of the tennis court is 264 m²
First use the scale to find the actual dimensions of the court:
1 cm : 0.8m
30 cm in the drawing would be:
= 0.8 x 30
= 24 m outside
13.75cm in the drawing would be:
= 0.8 x 13.75
= 11 m outside
Area of a rectangle (which is what the dimensions resemble):
= Length x width
= 24 x 11
= 264 m²
In conclusion, the area of the tennis court is 264 m²
Equations that are functions can be written in a form called what?
Answer:
function notation.
Step-by-step explanation:
I was there with you i just happen to remember this one thing from my middle school
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answer:
Below : )
Step-by-step explanation:
1) {x lx is all real numbers}
2) {y l y is greater than or equal to zero}
3) increasing
4) decreasing
range: the set of output values corresponding to the domain values
domain: the set of input values for which the function is defined
Hope this helps! : )
The table below shows Aubree's earnings on the job.
Time (hours) Earnings (dollars)
4
$84.40
18.
$379.80
28
$590.80
How long does it take her to make $137.152
hours
Suomit Answers
Answer
Answer:
6.5 hours
Step-by-step explanation:
the pay per hour is $21.1
137.15÷21.1=6.5
the sum of the reciprocals of two consecutive integers is -11/30
Answer for number 1?
Answer:
you need to draw a triangle on the grid
Step-by-step explanation:
find point -3 then 7
then find points -2 and 1
then -5 and 2
then join the points together
hope that helps
pls mark brainliest
a circle’s radius is increased by 8%. Find the increase in the circle’s area.
Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.
Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.
Answer:
huh your questions make no sense there has to be more
Step-by-step explanation:
Plz help due tonight
Answer:
[tex]4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80[/tex]
enjoy it
Use the graph of the quadratic function, g(x), to answer each question.
Answer:
it is -3 8 and 2
Step-by-step explanation:
Answer:
i think its -3 8 and 2 (maybe)
Step-by-step explanation:
i asked my friend
Examine the following table of points, which are all on a certain line.
x y
−2 4
0 2
1 1
3 −1
Answer: I don't see a question, but the equation of the line that these points form is y = -x + 2
Step-by-step explanation:
y=-x+2
The points have a negative 1 as their slope. The y-intercept (the value of y when x=0) is 2
y = -x+2
simplify -1 1/2 divided by 1 2/3
Answer:
-5/2
Step-by-step explanation:
Or -2.5
If you divide a negative by a positive it becomes a negative.
Hope this helps any!
-3x lessthan or equal to 3x +3 less than 2x+ 10
Answer:
x ≥ 0Hope this helped :)11 divided by 6/6
PLEASE HURRY THIS TEST
Answer: 1.666666667 or 1.6
Step-by-step explanation:
WILL NAME brainliest
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
By the definition of an angle bisector, we have that [tex]8x-23=5x+16[/tex].
We can add [tex]23[/tex] to both sides to get [tex]8x=5x+39[/tex].
We can then subtract [tex]5x[/tex] from both sides to get [tex]3x=39[/tex].
We can finally divide both sides by [tex]3[/tex] to get [tex]\boxed{x=13}[/tex]
cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4
Answer:
D. 4
Step-by-step explanation:
[tex]V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4[/tex]
WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase
18% decrease
Hope this helped you-have a good day bro cya)
Answer:
The percent change is an 18% decrease.
Step-by-step explanation:
Can somebody help me please
Answer:
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fghjk
gfgjuii
A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.
Answer: 60 quarters and 40 dimes
Step-by-step explanation:
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters
Coin Total Equation → d + q = 100
Step 2: Rearrange Coin Total Equation in terms of dimes (d)
d = 100 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:
0.1(100 - q) + 0.25q = $19.00
0.1(100) - 0.1(q) + 0.25q = $19.00
10 - 0.1q + 0.25q = $19.00
10 + (0.25 - 0.1)q = $19.00
10 + 0.15q = $19.00
Step 4: Subtract 10 from each side of the equation to isolate q
10 - 10 + 0.15q = $19.00 - 10
0.15q = 9
Step 5: Divide each side of the equation by 0.15 to isolate q
0.15q/0.15 = 9/0.15
q = 60
Step 6: Using our value for q, Solve for d using our Coin Total Equation:
d + 60 = 100
Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60
d = 40
Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00
how many miles of the road does the crew have left to pave after 11 days?
PLS HELPPPPP Which expression is equivalent to 4−a−a−a?
Answer: " 4 − 3a " .
________
Step-by-step explanation:
" 4 − a − a − a " ;
= 4 − 1a − 1a − 1a " ;
= ? " ;
________
Combine the "like terms" :
________
→ " − 1a − 1a − 1a " ;
= (− 1a − 1a) − 1a ;
= ( − 2a) − 1a ;
= − 3a ;
________
Now, bring down the "4" ;
and rewrite the expression:
________
→ " 4 − 3a " ;
which cannot be simplified further.
________
The answer is: " 4 − 3a " .
________
Hope this is helpful!
Best wishes to you!
________
A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?
Answer: 9/10 of a second