Answer:
2187/64
Step-by-step explanation:
first term (a) = 2
common ratio (r) = 3/2
8th term (t8) = ?
We know
Tn = ar^ n - 1
t8 = 2 * (3/2)^ 8 - 1
= 2 * 2187/128
= 2187/64
A geometric sequence with a common ratio of 3/2 and a first term of 2 has an eighth term that is around 35.15625.
What is a geometric sequence?The common ratio is a fixed constant that is multiplied by the preceding phrase to find each term in a geometric sequence (r). To put it another way, every term is a constant multiple of the term before it.
Use the formula for the nth term of a geometric series to determine the 8th term of the sequence with a common ratio of 3/2 and a first term of 2:
[tex]a_n = a_1 \times r^{n-1}[/tex]
If n is the term number we're looking for, r is the common ratio, and a₁ is the first term.
In this case, a₁ = 2 and r = 3/2, so we have:
[tex]a_8 = 2 \times \dfrac{3}{2}^{(8-1)}[/tex]
[tex]= 2 \times (\dfrac{3}{2})^7[/tex]
[tex]= 2 \times (\dfrac{2187}{128})[/tex]
= 35.15625
Therefore, the 8th term of the geometric sequence with a common ratio of 3/2 and a first term of 2 is approximately 35.15625.
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1/3 of 9
1/3 of 3
1/3 of 18
1/3 of 300
1/3 of 24
Step-by-step explanation:
3
1
6
100
8
They are the answers
Answer:
I will 2 of the problems and you can do the 3. If you need help then I am here, but try some on your own too. I will do :-
1/3 of 9
1/3 of 24
Hope this helps, thank you :) !!
help click the down load
Answer:
what is that i dont know what that is it looks horrible
Step-by-step explanation:
Answer:
we can't download
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEEEEE
Answer:
89
Step-by-step explanation:
Answer: 89 metres squared
Step-by-step explanation:
large area = 13 x 8 = 104
small area = 5 x 3 = 15
104 - 15 = 89
An athlete runs 6 miles in 1 hour on a treadmill. At this rate, how long will it
take the athlete to run 15 miles?
Answer:
150 minutes
Step-by-step explanation:
Answer:
2 hours and 30 minutes
Step-by-step explanation:
So if he runs for 2 hours it'll be 12 hours out of the 15, and if he only needs 3 more hours instead of 6, he'd have to only run half of the 6 hours, which would be 30 minutes
Which statement best justifies whether (x – 3) is a factor of the polynomial p(x) = x - 3x? - 2x - 6?
Answer:
It is not a factor
Step-by-step explanation:
It is because p(x)=-12 at x=3
twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number
Answer:
-24
Step-by-step explanation:
2(x-8)=3x+3
2x-16+16=3x+8+16
2x=3x+24
2x-3x=3x+24-3x
-x=24
x=-24
plz help me out :( I really can't fail this
Answer:
99.37
Step-by-step explanation:
Brief Math lesson:
If you, for example, pay 10% of your income of $100 to charity and 5% of it goes to taxes,
The amount that goes to charity can be found by using:
10% * 100 = 0.1 * 100 = 10
And the amount for taxes is
5% * 100 = 0.05 * 100 = 5
So the total is 15 dollars. And then, subtract that from your salary, so you would earn 85 dollars
We can also just find it by finding how much of a total percentage is being taken and subtract that by 100. (because you would keep the rest of the money)
(100% - (10% + 5%)) * 100 = 85% * 100 = 85
Now, let's apply this information.
First, figure out how much you need to pay in taxes, social security, etc.
15% + 6.44% + 6.2% + 1.45% = 29.09% of your money is given away. So, you would keep 100% - 29.09%, which is 70.91% kept
10.01 dollars an hour at 14 hours is 10.01*14 = 140.14 dollars
Now, multiply the percent of salary you keep by your salary.
140.14 * 70.91% = 140.14 * 0.7091 = 99.373274
This is, rounded,
99.37
Hope this helps! Feel free to ask any questions!
Can someone please help with this question
Answer:
Domain: [-4,2]
Range: [2,4]
Step-by-step explanation:
Domain: [-4,2]
Range: [2,4]
What is the surface area? I got 562 inches squared
Answer:
Yep, it’s 562 in²
Step-by-step explanation:
15x8=120 (two of them)
15x7=105 (two of them)
8x7=56 (two of them)
120+120+105+105+56+56=562 in²
Find all solutions of cos x -sqrt = 0.
Answer:
Option A
Step-by-step explanation:
Good question!
We assume that x lies on the interval 0<=x<=360. We can therefore identify the solution in degrees:
[tex]\cos \left(x\right)-\sqrt{1-3\cos ^2\left(x\right)}=0,\:0\le \:x\le \:360^{\circ \:}[/tex]
Now we can solve by substitution, and when simplified we get cos(x) = 1/2.
Take the inverse: x = cos^-1(1/2) = π/3 <--- angle in first quadrant
x = (2π-π/3) = 5π/3 <----- angle in fourth quadrant
As you know π/3 in degrees is 60, and 5π/3 = 360-60 = 300
Therefore your solution is the first option, x = 60+n360 and x = 300 + n360
The sum of two numbers is 107, the difference is 51. Find the numbers.
Answer : The numbers are
Answer:
The answer is 56.
Others are 50 + 57 = 107, 44 + 63 = 107, and 39,68
Step-by-step explanation:
107-51 = 56
5x/8x^2+5x
Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions".
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation:
Dividing by 0 is undefined, hence not allowed.
The denominator of the first term contains x^2.
Hence 0 is not allowed.
A triangle has a perimeter of 112 cm. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.
Answer:
Two sides have a measure of 48 cm and the shortest side is 16 cm.
Step-by-step explanation:
this is an isosceles triangle
let x = length of shortest side
let 3x = length of other two sides
find x:
3x + 3x + x = 112
7x = 112
x = 16
3x = 48
HEY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) = 14, because we solve the absolute value first, making it 9 + 5.
b) = 4, because we solve -9 + 5 first, which equals -4, then we solve the absolute value which is 4.
Answer:
a
b
Step-by-step explanation:
Mhanifa please help me with this! I will mark brainliest! Please hurry before I get a bunch of random answers! I would really appreciate it! Random answers will be reported
Answer:
1. C. Reflexive property, SSS2. A. ASA postulateStep-by-step explanation:
Question 1Blank 3 = Reflexive propertyBlank 4 = SSSCorrect choice is C
Question 2Blank 6 = ASACorrect choice is A
What is 56 divided by 14.5
Answer:
3.86( rounded)
Step-by-step explanation:
Solve the problem. Check answers to be sure they are reasonable.
A 10-gal aquarium is 4 in. higher than it is wide. Its length is 17 in., and its volume is 4284 in.^3. What are the height and width of the aquarium?
Answer:
[tex]W = 18[/tex] -- Width
[tex]H = 14[/tex] --- Height
Step-by-step explanation:
Given
[tex]V = 4284[/tex] -- Volume
[tex]L = 17[/tex] -- Length
[tex]H = ??[/tex] -- Height
[tex]W = 4 + H[/tex] -- Width
Required:
Find the height and the width
Volume is calculated as:
[tex]V = LWH[/tex]
This gives:
[tex]4284 = 17 * (4+H) * H[/tex]
[tex]4284 = 17 * (4H+H^2)[/tex]
Open bracket
[tex]4284 = 17 * 4H+17*H^2[/tex]
[tex]4284 = 68H+17H^2[/tex]
Divide through by 17
[tex]252 = 4H+H^2[/tex]
Write as a quadratic expression
[tex]H^2 + 4H - 252 = 0[/tex]
Expand
[tex]H^2 + 18H - 14H - 252 = 0[/tex]
Factorize:
[tex]H(H + 18) - 14(H + 18) = 0[/tex]
Factor out H + 18
[tex](H - 14)(H + 18) = 0[/tex]
[tex]H -14 = 0[/tex] or [tex]H + 18 = 0[/tex]
[tex]H = 14[/tex] or [tex]H = -18[/tex]
But Height can not be negative. So:
[tex]H = 14[/tex]
Recall that:
[tex]W = 4 + H[/tex]
[tex]W = 4 + 14[/tex]
[tex]W = 18[/tex]
(a) An angle measures 51°. What is the measure of its complement?
(b) An angle measures 37°. What is the measure of its supplement?
measure of the complement:
°
X 5
?
measure of the supplement:
Answer:
a. 39 b.143
Step-by-step explanation:
90-51= 39
180-37=143
I need this please help
Use 3.14 for Pi. *Answer choices may be rounded.* 5 points 1. 15 cm 7.5 cm 176.6 706.5 1324.7 5298.8
Answer:
C. 1324.7 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
π = 3.14
radius (r) = ½ of 15 = 7.5 cm
Height (h) = 7.5 cm
Plug in the values
Volume = 3.14*7.5²*7.5 = 1324.7 cm³
If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50
Jennifer earns $9 per hour babysitting. Use this information to answer problems 18-20.
20. Is the function increasing or decreasing?
a. Increasing
b. Decreasing
Answer:
A
Step-by-step explanation:
Answer:
Increasing
Step-by-step explanation:
We know that Jennifer earns $9 dollars per hour babysitting, this is the only information provided. Meaning that the monetary value is constantly increasing, with no fees or anything being mentioned, this means that the function is increasing. Due to the situation, the line on the graph will always go up.
Jennifer's equation could be represented as 9x.
Solve help? That's it really.
Answer:
1).00390625
2).216
3).0231481481481
Step-by-step explanation:
Select the equivalent expression . (2^ -4 * z^ -3 )^ 5 =?
Step-by-step explanation:
The option is C
= 1/ 2^20 • z^15
Hope it will help :)
The equivalent expression of [tex](2^ {-4} * z^ {-3} )^ 5[/tex] will be [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex], i.e. option C is the correct answer.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.
We have,
(2⁻⁴ × z⁻³)⁵ = ?
Now,
Using the exponent rule,
i.e.
(aⁿ)ᵇ = aⁿ ˣ ᵇ = aⁿᵇ
So,
(2⁻⁴ × z⁻³)⁵
i.e.
On solving,
We get,
(2⁻²⁰ × z⁻¹⁵)
Now,
Rewrite the above expression,
Using the exponent rule,
i.e.
[tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex]
So,
(2⁻⁴ × z⁻³)⁵ = [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex]
I.e.
Option C is the correct answer for the expression (2⁻⁴ × z⁻³)⁵.
Hence, we can say that the equivalent expression of [tex](2^ {-4} * z^ {-3} )^ 5[/tex] will be [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex], i.e. option C is the correct answer.
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Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)
Buttercup starts with $10 in her savings account and adds $20 per week (y=10+20x)
After how many weeks will they have the same amount of money?
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:
[tex]y=85+5x[/tex]
Buttercup starts with $10 and saves $20 per week. So:
[tex]y=10+20x[/tex]
When they have the same amount of money, the two equations will be equal to each other. Therefore:
[tex]85+5x=10+20x[/tex]
Solve for x. Subtract 10 from both sides:
[tex]75+5x=20x[/tex]
Subtract 5x from both sides:
[tex]75=15x[/tex]
Divide both sides by 15:
[tex]x=5[/tex]
Westley and Buttercup will have the same amount of money after 5 weeks.
70 POINTS HELP PLEASE ON THIS
Answer:
no answer cuz it says 35 points instead of 70
Step-by-step explanation:
please help me thank you
Answer:
Step-by-step explanation:
11/77=x/21
x=3
need help please Choose the best graph that represents the linear equation: -X = 2y + 1 Graph A
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
yes a is correct on edge!
Step-by-step explanation:
Question
Casey charges his neighbors $25 to mow their lawns. How many lawns must he mow next summer if his goal is to earn at
least $1,000?
Provide your answer below:
lawns
D FEEDBACK
MORE INSTRUCTION
SUBMIT
SUBMIT
Content attribution
Answer:
He must mow 40 lawns next summer to reach $1000.
Step-by-step explanation:
1000/25=40
what is 2+6x=28 pleas i need urgent help
Answer:
x=4.3
Step-by-step explanation:
2+6x=28
-2
6x=26/6