Answers
Answer:
C.195312
Step-by-step explanation
The sum of geometric sequence 2,10,50... up to 8 terms is 195312. Therefore, option C is the correct answer.
The given geometric sequence is 2+10+50+250+.....
What is the sum of the geometric sequence formula?Sum of the geometric sequence is S = a + ar + ar² +....+ [tex]ar^{n-1}[/tex].
The first term of the series is a and the common ratio is r.
The sum of the geometric sequence formula is [tex]S_{n} =\frac{a(r^{n} -1)}{(r-1)}[/tex] .
Now, a=2
To find r,
r = 10/2
r = 5 and n = 8
S = 2 ([tex]5^{8}[/tex]- 1) / (5 - 1)
S = 2(390625 - 1) / 4
S = (390624) / 2
S = 195312
Therefore, the sum of geometric sequence 2,10,50... up to 8 terms is 195312.
To learn more about the geometric sequence visit:
https://brainly.com/question/11266123.
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Related Questions
write the rational number as a decimal - 3/11
Answers
Answer
0.27
Step-by-step explanation:
3 divided by 11
= 0.27
this is it I believe
please yall im crying this is hard
Answers
Answer:
I think ur and is 4140. but I'm not sure, sorry if its incorrect.
Given that [tex](ax+4)(2x+b)=2x^2+5x-12[/tex], what are the values of a and b?
Answers
Answer:
a = 1, b = - 3
Step-by-step explanation:
Expand the factors on the left side, then compare the coefficients of like terms on both sides.
left side
(ax + 4)(2x + b) ← expand using FOIL
= 2ax² + abx +8x + 4b
= 2ax² + x(ab + 8) + 4b
Compare coefficients of like terms with those on right side.
coefficients of x² terms
2a = 2 ( divide both sides by 2 )
a = 1
comparing constant terms
4b = - 12 ( divide both sides by 4 )
b = - 3
HELP PLS this is my last question
Answers
Answer:
The solutions to the system of the equations are:
[tex]y=1,\:x=3[/tex]
Step-by-step explanation:
Given the equations
[tex]y=\frac{2}{3}x-1;\:y=-x+4[/tex]
solving the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-1\\ y=-x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ y+x=4\end{bmatrix}[/tex]
[tex]y+x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-\frac{2}{3}x=-1}[/tex]
[tex]\frac{5}{3}x=5[/tex]
[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ \frac{5}{3}x=5\end{bmatrix}[/tex]
solving for x
[tex]\frac{5}{3}x=5[/tex]
[tex]5x=15[/tex]
Divide both sides by 15
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{For\:}y-\frac{2}{3}x=-1\mathrm{\:plug\:in\:}x=3[/tex]
[tex]y-\frac{2}{3}\cdot \:3=-1[/tex]
[tex]y-2=-1[/tex]
Add 2 to both sides
[tex]y-2+2=-1+2[/tex]
[tex]y=1[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=1,\:x=3[/tex]
Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points
Answers
Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
What are alternate interior angles?When two parallel lines are intersected by a transversal, alternate external angles are created.
Given that, m∠A = m∠C = 90° and AB║DC.
In triangles ΔABD and ΔCDB,
m∠A = m∠C = 90°
m∠ABD = m∠BDC (Alternate interior angles)
BD = DB (Common side)
Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
Learn more about the alternate interior angles:
https://brainly.com/question/28380652
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If the new iPhone was on sale for $1200, what is the percent of change if the original prices was $1500.
Answers
Answer:
its a -20%changeor a general 20%change
What is the range of the relation below?
Answers
Answer:
D.
Step-by-step explanation:
because the lowest y is -3 and the highest is 2
A parking lot that has 520 spaces
was filled with 390 cars. What
percent of the parking lot was full?
Answers
Answer:
75%
Step-by-step explanation:
390/520 = 0.75 =75
hope that helps ;)
Answer:
75%
Step-by-step explanation:
390/520×100%
0.75×100%
75%
LaShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answers
Answer:
1 year at 8 percent
Step-by-step explanation:
i took the test
PLS HELP! DUE TODAY! I WILL GIVE BRAINLIEST!
In the following activity, match each pair of equivalent expressions.
3(x + 5)
9x - 2(3x - 3)
(x + 14) - (8 - 2x)
(7 - 2x) + (3x - 11)
(7 + 5x) + (-4x - 1)
-2x + 9 + 5x + 6
-4(x + 1) + 5x
-7 + 6x - 4x + 3
2(x - 2)
-3x + 6 + 4x
Answers
Answer:
Matches are:
1 and 6
2 and 3
4 and 7
5 and 10
8 and 9
Step-by-step explanation:
First just expand all:
1. 3x + 15
2. 3x + 6
3. 3x +6
4. x - 4
5. x + 6
6. 3x +15
7. x - 4
8. 2x - 4
9. 2x - 4
10. x + 6
Please give brainliest! Thanks, hope this helps!
solve the literal equation 3xy+2xz for x I never learned this.help me plz!!!!
Answers
x(3y + 2z)
Step-by-step explanation:
PLEASE I NEED IMMEDIATE HELP I will give brainliest
BD=16 and ÁT is the
perpendicular bisector of BD
BC=
Answers
Answer:
8
Step-by-step explanation:
16/2=8
Answer:
8
Step-by-step explanation:
A bisector bisects a line in HALF. Thus, by dividing 16 in half you will get BC=8.
y=-4/7x+2 is it Proportional
Constant of proportionality: k=
Not proportional
URGENT
Answers
Answer:
It is
5/7
Explanation:
The number
5/7
tells you that when
x
increases of
1
then
y
always increases of
5/7
.
Graphically:
graph{7/7*x [-10, 10, -5, 5]}
Step-by-step explanation:
A nurse tells Andrew he is six feet tall. What is the equivalent of Andrew's
height in yards?
A. Three yards
B. Six yards
C. Twelve yards
D. Two yards
Answers
Answer:
Option D
Step-by-step explanation:
The answer is option D or "two yards." You can find the answer by knowing that a yard equals to three feet in length and because Andrew is six feet you can add three and three together giving you a total amount of two yards.
[tex]1y=3ft[/tex]
[tex]3+3=6[/tex]
[tex]1+1=2[/tex]
[tex]=2y[/tex]
Hope this helps.
Select the correct answer from the drop-down menu. Find the trinomial. (22-6) and (22+4) are the factors of
Answers
Answer:
im about to solvee
Step-by-step explanation:
Please help is this a solution or inequality 5-x<8;x=-3
Answers
Answer:
Its a inequality
Step-by-step explanation:
YOUR WELCOME LOVE YOU
The two expressions we have is ‘5 - x’ and ‘8’. If X is equal to three, then we get ‘5 - 3’ and ‘8’. This comes out to 2 > 8.
Hope this helps :)
6p = 3p + 2p + p is true for
Answers
Answer:
For any value
Step-by-step explanation:
Answer:
Anything substituted for p should be correct
Step-by-step explanation:
please help
answer choices are:
a (-2,-8)
b (2,-8)
c (2,-4)
d. (-2,4)
Answers
By the square property, if b is a real number , and a2=b, then a=
Answers
Answer:
[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]
Step-by-step explanation:
Given
b is a real number[tex]a^2=b[/tex]as
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
so
[tex]a^2=6[/tex]
[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]
Therefore,
[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]
Answer:
lal
Step-by-step explanation:
ap3x
Ella is putting her savings into a retirement fund that will compound her $7000 semiannually at 7% interest. How much will her retirement fund be worth after 10 years? *
Answers
Answer:
8099
Step-by-step explanation:
12a[tex]12a^{2} -20a+16a^{3}[/tex]
Answers
Answer:
Step-by-step explanation:
4a(3a-5+4a^2)
Spidermans web is 100 feet long. He wants to shoot his web at a projection of 30 degrees. How tall is the building if he is trying to reach the top of the building?
Answers
Answer:
50 ft
Step-by-step explanation:
The concept to apply here is that of laws of sine of an angle where;
Sine of an angle theta = opposite length / hypotenuse
Sin 30° = height of building / length of the web
Sin 30° = h / 100
h = 100 sin 30° = 100 * 0.5 = 50 ft
what is the common fraction of the decimal 0,76
Answers
Answer:
76/100
Step-by-step explanation: 76 is in the hundreds place
Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.907 and the equation of the regression line is y=9.88+0.9x, where x represents the IQ score of the husband. What is the best predicted IQ of the wife, given that the husband has an IQ of 101?
Answers
Answer:
108.88
Step-by-step explanation:
Given that:
Equation of Regression line obtained for couple's IQ:
y=9.88+0.9x
x represents the IQ score of the husband
The best predicted IQ of wife Given that husband's IQ is 110
y = 9.88 + 0.9(110)
y = 9.88 + 99
y = 108.88
factor completely, 0.2x + 0.8 a. x b. 0.8(x + 1) c. 0.2(x + 1) d. 0.2(x + 4)
Answers
Answer:
d. 0.2 ( x + 4 )
Step-by-step explanation:
0.2x + 0.8
Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.
0.2x + 0.8
0.2 ( x + 4 )
Quickly XD!
3 friends share 2 pizzas evenly.
About how much pizza will each friend get?
Sorry if you tryna enjoy your weekend I Needa get this done.
Answers
y=2/3 orange for each friend (decimal: 0.6667 rounded to 4d. p)
PREMISES
y=the fraction of 2 oranges that each of 3 friends shares equally
CALCULATIONS
To distribute 2 oranges equally between 3 friends requires that the oranges be sliced proportionately equal to the number of friends which is 3
So, then,
y=
Each friend receives 1/3 of each of 2 oranges making 2/3 orange for each friend.
If y=2/3 orange, then the equations
3*2/3 orange=2 oranges
6/3 oranges=2 oranges and
2 oranges=2 oranges prove the solution y=2/3 orange to the fraction of 2 oranges shared by each of 3 friends
What is a common tip percentage amount that people receive?
Answers
Answer:
15-20%
Step-by-step explanation:
can u make me brainiest thanks
What is x-2+5x
What is -4x-10+6x
What is 7+10x+4x-8
Answers
Answer:
What is x-2+5x = 6x-2
What is -4x-10+6x = 2x-10
What is 7+10x+4x-8 = -4x+9
Step-by-step explanation:
What was the name of the physical barrier in ancient India?
Answers
Answer: Some natural barriers are the Himalayas isolating the Indian subcontinent from the rest of Asia, the Grand Canyon, the Dead sea, and the Mississippi river.
Morag typed 60 words in one minute. Express as a unit rate.
Answers
Answer:
60 words per minute...60/1...this is already in unit rate form