Find the 9th term of the geometric sequence 4, 16, 64, ...
Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times and keep doing that until its the 9th answer :)
Step-by-step explanation:
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
What is geometrical series?A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
The first term of the series is 4, while the ratio of the geometric sequence:
[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]
Thus, the 9th term of the geometric series can be written as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]
Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.
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State how many solutions, 3 + 2x + 1 = 2x + 3
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
7x + 15 - 9x = 5 plz help
Answer:
x =5
Step-by-step explanation:
[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]
Find the measure of x
Determine whether the given segments have the same length. Complete the justification of your answer,
AB and BC
The length of AB is
length
The length of BC is /
.So, AB and BC (select)
the same length
Answer:
No does not contain the same length
Step-by-step explanation:
Given that
A(-4,2) , B (1,4), C (2, -1)
Now
AB would be
= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]
And, BC is
[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]
As we can see that the AB and BC are not equaled
So,
AB ≠ BC
Due to the different length
Therefore they do not contains the same length
We simply applied the distance formula due to which the length could be determined and the same is to be considered
A negative number multiplied by a negative number will result in a ___ product.
Answer:
Positive product
Step-by-step explanation:
An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twice the width.what dimensions should she make the rectangle
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Which of the following relations is a function?
OA. (-7, 1), (0, -5), (1,5), (5, 1)
OB. (-7, 4), (0, 6), (-7, 3), (5,2)
C. (1, 1), (0, 4), (-7, 1), (1,-5)
OD. (-7,1), (0,4), (1,-5), (0, 6) ting
Answer:
A
Step-by-step explanation:
It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.
Please help
Using the mileage chart below, find the distance between Spearfish and
Madison
sus
Huron
Η
22.223 Mehellye
O A. 191 miles
O B. 45 miles
O C. 123 miles
O D. 390 miles
The distance between Spearfish and Madison is 390 miles.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a mileage chart.
Assume that the distance between Spearfish and Madison is [x] miles.
Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -
x = 390 miles
Therefore, the distance between Spearfish and Madison is 390 miles.
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1 added by 1 is
A. 2
B. 3
C. 5
D. 11
Explain your answer
Answer:
A. 2
Step-by-step explanation:
When adding two numbers, you are combining their values.
In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.
what is the least common multiple of 6, 12 , and 15
Answer:
It's 3.
Step-by-step explanation:
3x2=6
3x4=12
3x5=15
Round 3,760 to the nearest hundred.
Answer:
3,800
Step-by-step explanation:
Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."
Hope this helps and have a nice day!
Answer:
3,800
I hope this helps!
Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80
Answer:27.85
divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price
What is the mid point between (0,0) and (3,4)
Answer:
Midpoint of a line segment
(xM,yM) = (4, 5).
Answer:
I think it's point (1.5,2).
Step-by-step explanation:
3 ÷ 2 = 1.5
4 ÷ 2 = 2
Are all numbers rational?
Which statement is true about this function for all values of x < 4
The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.
Answer:
The Function is Decreasing.
Step-by-step explanation:
I hope this helps you :)
Answer:
I would also say that the function is decreasing.
Step-by-step explanation:
After 8 points are added to each score in a sample, the mean is found to be M= 40. What was the value for the original mean
Answer:
The value for the original mean = 32
Step-by-step explanation:
Here, we want to calculate the original value of the mean.
Let the number of samples be n
Mathematically;
mean = Total value/n
Now, we added 8 to each of values; total value added = 8 * n = 8n
Now, for the new mean of 40; we have
(Total value + 8n)/n = 40
Total value + 8n = 40n
Total value = 40n -8n
Total value = 32n
kindly recall from the beginning of the solution;
mean = Total value/n
mean = 32n/n
mean = 32
So the original value of the mean is 32
Truffles cost $3 each and caramels cost $2 each. If t represents the number of truffles and c represents the number of caramels, explain what each of the following expressions represents. Explain your reasoning for each. a) t +c b) 3t +2c
Answer:
a) Combined amount of truffles and caramels bought
b) Amount of money spent in total on both truffles and caramels
I need help on the value of X
8 plus 78 oooooooooooooooooooooooooooooooooooooooooooooo
Answer:
86 ✌️
Step-by-step explanation:
just get a calculator
I can’t find the answer please help
Answer:
5.4 & 5.4
Step-by-step explanation:
CD²=5²+2²=29
CD=AB=5.4
Answer:
C) 5.4 and 5.4
Step-by-step explanation:
CD: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4
AB: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4
Five less than one half of a number is 18.
5 – = 18
1/2 – 5 18
x – 5 = 18
5- X = 18
Answer:
x-5=18 because x would be the number with "5 less" being the "-5."
Hoped I helped
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which value is a solution to the inequality 9-y>12?
Hey there!
[tex]Answer:\boxed{y<-3}[/tex]
[tex]Explanation:[/tex]
[tex]9-y>12[/tex] Inequality
Let's start by simplifying both sides of the inequality.
[tex]-y+9>12[/tex]
Now subtract 9 from both sides.
[tex]-y+9-9>12-9\\-y>3[/tex]
Now divide both sides by -1.
[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]
[tex]y<-3[/tex]
Hope this helps!
b is the midpoint of AC. a has coordinates (9.11), and B has coordinates (-10,5). find the coordinates of c.
y varies directly with x Part 1
19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3
Answer:
19. -3
20. 4
21. 6/7
Step-by-step explanation:
Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.
19. x = 6/4(-2) = -3
20. x = (12/6)(2) = 4
21. x = (3/7)(2) = 6/7
Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?
Answer:$11.90
Step-by-step explanation:
Divide 59.50 by 5
please need help on this one I'll give you 5 stars and a heart or maybe a brainliest
Answer:
13
Step-by-step explanation:
14x-1=x+12
13x=13
x=1
x=12
1=12
=13
Answer:
13
Step-by-step explanation:
use a ruler on this one. its super easy.
not saying to do it all the time, but for this one it is ok
-i+5=t-19 please help!!
Answer: t=24−i
Step-by-step explanation:
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
use the point slope form to find the linear equation of a line that passes through the points 2,-1 and 10,7
Answer:
Step-by-step explanation:
Y2-y1 , x2-x1
7-3=5
10-(-1=11
5/11 so y=5/11x is the answer
Answer:
Y= 1x+-3
Step-by-step explanation: