the terms of geometric sequence are 3, -15, 75
given,
1st term (a) = 3
second term (t2)=-15
common ratio (r) = t2/t1
=-15/3
=-5
then
t13= ar^n-1
=3×(-5)^13-1
=3×244140625
=3×244140625
=732421875.
The [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
A geometric sequence is given ; 3 , -15 , 75....
We have to find the [tex]13^{th}[/tex] term of the geometric sequence.
What is the formula for calculation of nth term of geometric Sequence ?
The formula for calculation of nth term of geometric progression is [tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex] where r is the common ratio of geometric sequence.
Given geometric sequence is 3 , -15 , 75....
and
Common ratio is r.
i.e., r = -15 ÷ 3 = -5
∵ [tex]n^{th}[/tex] term of a geometric sequence is given by ;
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex]
where [tex]a_{1}[/tex] is the first term.
So,
[tex]13^{th}[/tex] term of the geometric sequence will be ;
[tex]a_{13}[/tex] = 3 × [tex](-5)^{12}[/tex]
[tex]a_{13}[/tex] = - 732421875
Thus , the [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
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What is an equivalent fractions
Answer:
fractions that are the same
New research certainly shows us a different picture of video games and their players. There can be some real benefits to playing video games. Video game players can develop valuable skills. They can also become happier, more successful people.
–"Building Skills with Video Games"
Which statement from the passage is the claim?
New research certainly shows us a different picture of video games and their players.
There can be some real benefits to playing video games.
Video game players can develop valuable skills.
They can also become happier, more successful people.
Answer:
There can become some real benefits to playing video games
Step-by-step explanation:
srry but hoped it helped
Answer:
B
Step-by-step explanation:
There can be some real benefits to playing video games
I just did my assignment of edge.
after the 15% sales tax the jeans were 16.10. how much was the jeans before the sales price?
Answer:
$13.69
Step-by-step explanation:
16.10 decrease 15% =
16.10 × (1 - 15%) = 16.10 × (1 - 0.15) = 13.685
What is the solution to this system of equations?
One-fourth x + 1 and one-half y = StartFraction 5 Over 8 EndFraction. Three-fourths x minus 1 and one-half y = 3 and StartFraction 3 Over 8 EndFraction
(4, negative one-fourth)
(4, negative StartFraction 9 Over 16 EndFraction)
no solution
infinitely many solutions
Answer:
4, -1/4
Step-by-step explanation:
I took the test 2021 on edge
The solution to this system of equations is (4, -1/4)
What are system of solutions?A collection of values for a variable that simultaneously fulfill each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.
Given
[tex]\frac{1}{4} x + 1\frac{1}{2} y = \frac{5}{8} \\\frac{1}{4} x + \frac{3}{2} y = \frac{5}{8} \\\\\frac{x +6y}{4} =\frac{5}{8}\\ x+6y = \frac{5}{8} *4 = \frac{5}{2} \\[/tex]
[tex]2x +12y = 5 ........(i)\\\\\frac{3}{4} x - 1\frac{1}{2} y = 3\frac{3}{8} \\\\\frac{3}{4} x - \frac{3}{2} y = \frac{27}{8} \\\\\frac{3x -6y}{4} =\frac{27}{8}\\ 3x-6y = \frac{27}{8} *4 = \frac{27}{2}[/tex]
6x - 12y = 27...(ii)
Adding equation(i) and (ii),
2x + 6x = 5 + 27
=> 8x = 32
=> x = 4
Plug the value of x in equation(i),
2(4) + 12y = 5
8 + 12y = 5
=> 12y = 5 - 8 = -3
=> y = -1/4
Hence, the solution to this system of equations is (x, y) = 4,-1/4
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A lottery sells a total of 60,000 lottery tickets. You buy 100 tickets and of these 90 are blanks (no prize). Approximately how many blanks were there in total in this lottery?
Answer:
≈ 54000 blank tickets
Step-by-step explanation:
90 out of 100 = 9/10
9/10 × 60000 = 54000
Given that 3x – 8y = 39
Find y when x = 3
Give your answer as an improper fraction in its simplest form.
Answer:
- [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Given
3x - 8y = 39 ← substitute x = 3 into the equation
3(3) - 8y = 39
9 - 8y = 39 ( subtract 9 from both sides )
- 8y = 30 ( divide both sides by - 8 )
y = [tex]\frac{30}{-8}[/tex] = - [tex]\frac{15}{4}[/tex]
last brainiest :D GIVING IT TO SOMEONE
Answer: meeee
Step-by-step explanation: really need it
A restaurant buys a freezer that is 6 feet long, 2 feet wide, and 2.5 feet tall. What is the volume of the freezer?
© 21 cubic feet
10.5 cubic feet
30 cubic feet
15 cubic feet
Answer:
30 cubic feet
Step-by-step explanation:
someone please help !!
Answer:
50
Step-by-step explanation:
138-88=50
lee has 14 blueberry scones and 35 raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of blueberry scones and an equal number of raspberry scones. What is the greatest number of bags Lee can fill?
Answer:
7 is the greatest number of bags Jason can fill.
Step-by-step explanation:
Given: Jason has 14 raspberry scones and 35 blackberry scones.
solve the inequality x^2-4x-7<0
Answer:
Inequality Form:
2 − √ 11 < x < 2 + √ 11
Interval Notation:
( 2 − √ 11 , 2 + √ 11 )
Step-by-step explanation:
Solve the inequality for x by finding a , b , and c of the quadratic then applying the quadratic formula.
Can please help me with these questions i will give you a Brainliest
Answer:
1. x=-5
2. x=24
3. -1x+19
4. 14w²-4w
5. 5x-15
6. 11a²b-12ab²
7. 6x+4
8. x=15
9. x=-12
10. x=3
11. x=20
Step-by-step explanation:
1.
15x-24-4x=-79 We have to add the like terms
+24 +24
15x-4x=-55 Subtract 15x-4x
11x=-55 Now divide
/11 /11
x=-5
2.
3(2x-5)-4x=33 Use distributive property
6x-15-4x=33 Add like terms
+15 +15
6x-4x=48 Subtract 6x-4x
2x=48 Divide
/2 /2
x=24
3.
6x+4+15-7x Combine 6x and -7x
-1x+4+15 Now combine 4 and 14
-1x+19
4.
6w²+11w+8w²-15w Combine 11w and -15w
6w²+8w²-4w Now combine 8w² and 6w²
14w²-4w
5.
12x-5-7x-11 Combine -5 and -11
12x-7x-15 Now subtract 12x-7x
5x-15
6.
11a²b-12ab²
Nothing else can be done with this equation
7.
2(3x+2)
6x+4
8.
x/5=3
5×3=15
15=x
9.
2/3x=-8
-4×2=-8
-4×3=-12
x=-12
10.
9x-11=-38
+11 +11
9x=-27
/9 /9
x=3
11.
-x/5+3=7
-3 -3
-x/5=4
-x=-20
x=20
What value of x makes this equation true?
10x - 6 =
A
14
15
1
13
14
o
15
14
D
14
13
Select the statement that best describes the line.
Quality
Answer:
2.
Step-by-step explanation:
The line of best fit is a line through scatter plot of data points that best expresses the relationship between those points.
(hope this helps :P)
I need some help on my math, please and thank you :)
In down angle there is 26 there is not 28 so 28×2 =56
Step-by-step explanation:
we need angle on the left side 2
11
Bill wants to increase 150 by 3%
He writes down
150 X 1.3 = 195
Bill's method is wrong.
(a) Explain why.
+
Answer:
//
Step-by-step explanation:
Bill's answer is wrong because timesing 150 by 1.3 is increasing the number by 30%, not 3%
If he wanted to use this method, he would have ti times 150 by 1.03
Bill's method is wrong because 150 by 1.3 is increasing the number by 30%, not 3%.
What is the formula for calculating the increase?The formula for calculating the increase is:
original amount × (1 + percentage increase)
Bill wants to increase 150 by 3%
He writes down :
150 × 1.3 = 195
Bill's method is wrong because he is using the wrong formula to calculate the increase. To calculate the increase, you need to multiply the original amount by the percentage increase, not add the percentage increase to the original amount.
To calculate a 3% increase on 150, the correct method is:
150 × (1 + 0.03) = 150 × 1.03 = 154.50
As you can see, the result is different from the one that Bill obtained using his method.
Hence, Bill's method is wrong.
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1/3 of a cake and was eaten 1/4 of a cake
Answer:
Look on brainless
Step-by-step explanation:
Round 3.2649 to
the thousandths place.
Answer:
3.265
Step-by-step explanation:
Please help asap!!! With 2 and 3 please
Answer:
2) 224πcm²
3)156 cm²
A ladder leans against the side of the a house. The ladder is 17 feet long and forms an angle of elevation of 72 degree when leaned against the house. What is the height where the ladder meets the side of the house? Round your answer to the nearest tenth.
please explain how you got the answer if you can! thanks :)
Answer:
7 feet is your answer because by time the ladder reach the side of the house from 72 degree angle if you measure it right and cross path with the correct tools you will see that it reaches 7 ft
make m the subject of the formula
G = √m-5 /2
g² = m-5 /2
2 × g² = m - 5
2g² = m - 5
2g² + 5 = m
So, m = 2g² + 5
Answer:
m = 2G²+5
Step-by-step explanation:
G²= m-5/2
2g² = m-5
2g² +5 = m
m = 2G²+5
umm hiii i need friends lol
... me too. (╯▽╰ ) －O－
Answer:
Step-by-step explanation:
Please help im so stuck on this !!!!!!!!n
Answer:
Step-by-step explanation:
4) d = 12 cm; r = 12/2 = 6cm ; h = 5 cm
S.A = 2πr(r + h)
= 2* 3.14 * 6 * (6 + 5)
= 2 * 3.14 * 6 *11
= 414.48 cm²
5) d = 8 cm ; r = 8/2 = 4cm ; h = 7cm
S.A = 2πr(r + h)
= 2 *3.14 * 4 * (4 + 7)
= 2 * 3.14 * 4 * 11
= 276.32 cm²
6) r = 4 cm ; h = 6cm
SA = 2πr(r +h)
= 2 * 3.14 * 4 * 10
= 251.2 cm²
7) Area of front and back = [tex]2*\frac{1}{2}*base * height[/tex]
= base * height
SA = (front and back) + Base + left + right
= 4* 3 + (8*3) + (8*4) + ( 8*5)
= 12 + 24 + 32 + 40
= 108 cm²
8) SA = (front and back) + Base + left + right
= (8 * 6) + (12*6) + (12*8) + (12*10)
= 48 + 72 + 96 + 120
= 336 cm²
9) SA = (front and back) + Base + left + right
= (12 *5) + (8*5) + (8*12) +(8*13)
= 60 + 40 + 96 + 104
= 300 cm²
what is the hieght of the prism
14cm
18cm
24cm
30cm
Answer:
Post another question with an image please thank you we'll go on your page so don't worry.
Use the distributive property to write the expression as a product
10+70x
Answer:
[tex]10(1+7x)[/tex]
Step-by-step explanation:
Just factored out the 10.
??? what would this beee!!!
Answer:
110 on the left and 70 on the right
(you can use the f rule )
Answer:
the unknown angle on the left (below 110°) is also 110°
the unknown angle on the right is 70°
Step-by-step explanation:
this is because the lines are parallel, and when they're intersected by the same line respective angles on each line are equal.
On the top line, the top left angle is 110° and so the top left angle on the bottom line is 110° too. Same goes for the other angle.
hope this helps!
What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
Answer: Slope = -2
Step-by-step explanation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12-4}{-6-(-2)}[/tex]
[tex]m = \frac{8}{-4}[/tex]
[tex]m = -2[/tex]
Answer:
it would be -2
Step-by-step explanation:
One corner of a rectangle has the ordered pair of (8, 2). The rectangle is dilated by a scale factor of 4. What is the new ordered pair?
Write 1.74 x 10^-4 as an ordinary number
Answer:
0.000174 is your answer.
The area of a circle is represented by the equation A = ar2 , where r is the
radius. The area is 64 r m². What is the length of the diameter, in meters?
A. 8 m
B. 12 m
C. 16 m
D. 32 m
PLEASE I NEED HELP