Answer:
Equation: x(n)=2*4^(n-1)
a6=2048
Step-by-step explanation:
Take note that the common ratio is 4 because 2*4=8, 8*4=32, 32*4=128, and so on...
We will use the equation x(n) = ar^(n-1) where n represents the nth term, r stands for the common ratio, and "a" stands for the first term. We use (n-1) because ar^0 is for the 1st term
Given the first term is a=2, the common ratio is r=4, then we have the equation x(n)=2*4^(n-1)
So, 128*4=512 would be the 5th term, and the 6th term would be 512*4=2048
So a6=2048
We want to find an equation and the sixth term of the given geometric sequence.
The equation is:
[tex]A_n = 4*A_{n-1}[/tex]
And the sixth term is equal to 512
Geometric sequences.In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]A_n = k*A_{n-1}[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
8 = k*2
8/2 = 4 = k
Now we know the value of the constant, then the general formula is:
[tex]A_n = 4*A_{n-1}[/tex]
Now we can use this to get the sixth term:
[tex]A_6 = 4*A_5 = 4*128 = 512[/tex]
If you want to learn more about geometric sequences, you can read:
https://brainly.com/question/9300199
A meteorologist finds that the temperature at the 6000-foot level of a mountain is 76°F and the temperature at the 12,000-foot level of
the mountain is 49°F. Write a linear equation to represent the temperature T at an elevation of x, where x is in thousands of feet.
Answer:
T=x/78
height/78=76
Step-by-step explanation:
a store has 5 cans of soup for 15 dollars.How much is per can
Answer:
3 dollars
Step-by-step explanation:
5 cans= 15 dollars
1 can = 15/5= 3
3 dollars
Help....i don't remember even going over this at all.
Answer: Choice A)
Set A is an exponential function and the values increase at a faster rate than Set B.
======================================================
Explanation:
Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.
10*10 = 100100*10 = 1,0001,000*10 = 10,00010,000*10 = 100,000etc
This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.
Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.
On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.
When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.
What is the equation of the graph below?
*A graph shows a parabola that opens down with a vertex at three commas two*
A) y = − (x + 2)² + 2
B) y = − (x − 3)² + 2
C) y = (x − 2)² + 2
D) y = (x + 3)² + 2
Pretty sure it's B, but I'm not sure.
Answer:
B: y = − (x − 3)² + 2
Step-by-step explanation:
You can check this using a graphing calculator, but it has a vertex of (3,2)
Answer:
B
Step-by-step explanation:
Which of these statements correctly compares the graphed function f(x) to the function
g(x)= x/2 +5
Answer: g= x+10/2x
Step-by-step explanation: Here a picture if you see it, hope this help
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4
Find the measure of the indicated side. Round to the nearest tenth.
Answer:
x=23.5
Step-by-step explanation:
[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]
Line R T is a perpendicular bisector of Line segment U V. Line R T is a perpendicular bisector of line segment U V. The lines intersect at point S. Line segment U S and S V are congruent. What is true of any triangle created by points U, V, and any point on Line R T other than S? It will be a right triangle. It will be an acute triangle. It will be an equilateral triangle. It will be an isosceles triangle.
Answer:
D
Step-by-step explanation:
Answer:
D. It will be an isosceles triangle.
Explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.
Use a graphing calculator to graph the function below. What is the
minimum value of the function?
y= 22 + 8x + 7
-13
-9
-6
-3
Answer:
-3
Step-by-step explanation:
Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog Rocky. He uses 1/2 cup of coconut oil to make 2/3 cup of toothpaste. How much coconut oil does Sean use per cup of toothpaste?
Answer:
3/4 cup of coconut
Step-by-step explanation:
Given:
[tex]\frac{1}{2}[/tex] cup of coconut for [tex]\frac{2}{3}[/tex] cup of toothpaste
Required
Determine how much oil for a cup of toothpaste
Represent Coconut with C and Toothpaste with T;
So,
When
[tex]C = \frac{1}{2}\ \ T = \frac{2}{3}[/tex]
We're to solve for
C when T = 1
This can be represented as:
[tex]\frac{1}{2} = \frac{2}{3}[/tex] --- 1/2 to 2/3
[tex]C = 1[/tex]
Cross Multiply:
[tex]C * \frac{2}{3} = \frac{1}{2} * 1[/tex]
[tex]\frac{2}{3}C = \frac{1}{2}[/tex]
Solve for C
[tex]C = \frac{1}{2}/\frac{2}{3}[/tex]
[tex]C = \frac{1}{2}*\frac{3}{2}[/tex]
[tex]C = \frac{3}{4}[/tex]
This means Sean needs 3/4 cup of coconut oil
Answer:
[Picture contains answer]
PICTURE EVIDENCE:
A farmer wants to fence off part of a rectangular field to create an area that is 22,500 square feet. He then wants to divide that area in half by creating a fence parallel to one side of the rectangle. Find the dimensions of the area that will minimize the amount of fencing he needs.
Answer:
90 x 125
Step-by-step explanation:
22500÷2 = 11250
factors of 11250 = {1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250} (this took me long to type and calculate lol)
well we want the factors as close as possible to minimize the perimeter. In this case, it is 90 and 125. therefore the dimenstions are 90 x 125
The sum of x and 6.5 is 11.9. Find
he value of x.
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)
plss plss help asap!!!
Answer:
[tex]f(x) = - 2x + 7 \\ f( - 5) = - 2( - 5) + 7 \\ f( - 5) = + 17[/tex]
Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find how tall Maria is?
A. 2m = 52
B. 52 = 1/2 m
C .m + 2 = 52
D. 52 = m - 2
Name the corresponding angle with angle 2
Answer
3 it cant be 6 because lines L and M are not parallel
Step-by-step explanation:
the prices of magazines and books at the school book fair are shown in the table. determine if each statement is true or false
Answer:
true, false, true
Step-by-step explanation:
A- The expression 7.95b + 4.95m represents the cost of buying b books and magazines (true)
B- The expression 12.90(b+m) represents the cost of buying b books m magazines (false)
C- The total cost of buying 3 books and 4 magazines is $43.65 (true)
23.85b + 19.8m = $43.65
i hope this answers your question :) have a great day
Choose the number sentence whose product is 5.85. A. 1.7 x 3.5 B. 26 x 2.25 C. 4.5 x 2.3 D. 1.3 x 4.5
Answer:
b
Step-by-step explanation:
Answer:
The actual right answer is D
Step-by-step explanation:
1.3 x 4.5 = 5.85
answer = D
Help me please
Tyler filled a small jar with quarters and dimes and
donated it to his school's charity club. The club member
receiving the jar asked, "Do you happen to know how
much is in the jar?" Tyler said, "I know it's at
least $8.50, but I don't know the exact amount."
Write an inequality to represent the relationship
between the number of dimes, x, and the number of
quarters, y, and the dollar amount of the money in the
jar.
(It will say "CORRECT" when you type in the correct
inequality.)
Answer:
Step-by-step explanation:
X=8.50
y=9.50
The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Tyler filled a little container with quarters and dimes and gave it to his school's foundation club. The club party getting the container inquired, "Do you end up realizing how much is in the container?" Tyler said, "I know it's something like $8.50, yet I don't have a clue about the specific sum."
Let x be the number of dimes and y be the number of quarters. Then the inequality is given as,
0.10x + 0.25y ≤ 8.50
The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")
It's false and same lol
what is the median for 9, 37, 39, 13
Answer:
i'm not sure
Step-by-step explanation:
Answer:
(13+37)/2 = 25
Step-by-step explanation:
The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students are in the band?
Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4[tex]x[/tex]
Let the total number of choir students = 6[tex]x[/tex]
Total number of students = 60
As per question statement, we can write the following equation:
[tex]\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6[/tex]
Total number of band students = 4 [tex]\times[/tex] 6 = 24
Please help with geometry question!!!! will give brainliest
Answer:
so pretty much what your doing is 4x3
Step-by-step explanation:
Answer:
x = 32
Angle B = 120°
Step-by-step explanation:
3 (4x - 8) = 360°
4x - 8 = 120
4x = 128
x = 32
help me with my math for brainiest:)
Andrews sandwich consists of a 20 g piece of cheese is 60 g piece of turkey into 30 g slices of bread what is the total weight of Andrews sandwich in kilograms
Answer:
0.11 kilos
Step-by-step explanation:
Given that f(x) = x^2 + 16x + 63 and g(x) = x + 9, find f(x) + g()
Answer:
f(x) + g(x) = x² + 17x + 72
If you want to factor that, then it comes out as:
f(x) + g(x) = (x + 8)(x + 9)
Step-by-step explanation:
[tex]f(x) + g(x)\\= x^2 + 16x + 63 + x + 9\\= x^2 + 17x + 72\\= (x + 8)(x + 9)[/tex]
Maya bought a new iphone case for $40. Now, it is on sale for $25. Find the percent of change in the
price. Since the new price is less than the original price, this is a percent of decrease.
Step 1: Find the amount of decrease.
Your answer
Step 2: Find the percent of decrease.
PLEASE HELP, I WILL MARK THE FIRST PERSON AS BRAINLIEST!
Answer:
Step 1: $15
Step 2: 38%
Step-by-step explanation:
Step 1:
40 - 25 =15.
Therefore, the price would decrease by $15.
Step 2:
40 multiplied by .38 equals 24.80. You would round that up to 25. If you plugged in 37%, it would equal 25.20, which is over the price. Therefore the price decreased by 38%.
What place value docs the 6 have in 764,328
Answer:
It's in the ten thousands place
Step-by-step explanation:
700,000
60,000
4,000
300
20
8
764,328
Hope this helps. Have a nice day
Answer:
6 is in the ten thousandth place
There are 25 town homes in the Alief Community subdivision.
•Company A provides water to 1/5 of the town homes.
•Company B provides water to 9/15 of the town homes.
•Company C provides water to the remaining town homes.
In this subdivision, company C provides water to how many houses?
Answer:
5
Step-by-step explanation:
Fist, you would see that company a Provides water to 5 people, since 1/5 of 25 is 5. 25/15X9=15. 15+5=20. So, 25-20=5.
please help me out! find f(-9)
Answer:
f(-9) = -64
Step-by-step explanation:
Substitute -9 for x:
f(-9) = - (-9)^2 - 4(-9) - 19
= -81 + 36 - 19
= -64
Which point is not on the graph of the function y=×+5
Answer:
your gonna need to start from the point 5 and move up
Step-by-step explanation: