Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.
If 12 oranges cost 5.04 how much does 1 orange cost
Gabrielle is 8 years older than Mikhail. The sum of their ages is 58. What is Mikhail's age?
Answer:
Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50
Step-by-step explanation:
Drag each figure to show if it is similar to the figure shown or why it is not similar.
Answer:
Step-by-step explanation:
Similar figures have the same shape but the same size.
Moving from left to right:
The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.
The second figure is not similar because of shape
The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7
The fourth figure is similar because it is rotated
The fifth figure is not similar because of shape
The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7
position to term rule of 2, 6, 10, 14, 18
multiply by _____ and subtract by _____
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
compute the differences of all the adjacent terms
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]
The difference between all the adjacent terms is the same.
Thus,
[tex]d=4[/tex]
and
[tex]a_1=2[/tex]
Therefore, the nth term is computed by:
[tex]a_n=4\left(n-1\right)+2[/tex]
[tex]a_n=4n-2[/tex]
Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
If m∠2=48°, what is the m∠5?
Answer:
132º
Step-by-step explanation:
We can see from the image that 2 is vertical angles with 4, making 4 48º.
Because angle 4 is consecutive interior angles with angle 5, they add up to 180.
180-48=132º
find the slope and Y intercept for each equation y=2x -4
slope = ( -2)
Y intercept = 10
Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?
Answer:
26 flower arrangements
Step-by-step explanation:
14 times $17 equals $238
$576 - $238 = $338
$338/13 = 26 flower arrangements
At an aunt's wedding , Nicolas collected data about an ice sculpture that was about to completely melt . A graph of his data is shown at right . a . Write an equation for a line of best fit . What are the units for the slope and y-intercept in the equation ? b Based on your equation , how tall was the ice sculpture one hour before Nicolas started measuring ?
Answer:
Step-by-step explanation:
From the scatter plot given in the attachment,
a). Line of best fit will pass through two points (0, 10) and (4, 0)
Let the equation of the line is,
y = mx + b
m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]
m = -2.5 inches per hour
y-intercept = 10 inches
Therefore, equation of the line will be, y = -2.5x + 10
b). Since, Nicolas started measuring the height of the ice sculpture at x = 0
One hour before the start of the observations means x = (0 - 1) = -1
From the given equation,
y = -2.5(-1) + 10
= 2.5 + 10
= 12.5 inch
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
ddddd
Step-by-step explanation:
Solving systems by elimination: Abbie bought a combination of streamers and balloons for a birthday party. The number of balloons, y, was three less than two times the amount of streamers perchased, x,. If Abbie bought a combination of 9 balloons and streamers, what system of equations can represent the situation?
Answer:
the two equations you can use are
y = 2x - 3
y + x = 9
Divide. Give the quotient and remainder.
2831 divided by 25
Answer:
113 R 6
Step-by-step explanation:
About 3% of the population has a particular genetic mutation. 200 people are randomly selected. Find the mean for the number of people with genetic mutation in such groups of 200?
Answer:
6
Step-by-step explanation:
200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.
solve for x.
2/3x = 10
Answer:
x=15
Step-by-step explanation:
2/3x = 10
To find x divide both sides by 2/3.
2/3x÷2/3 = 10÷2/3
x=15
Easy!! :3
Answer~x = 15
Steps~(2/3)*x = 10 // - 10
(2/3)*x-10 = 0
2/3*x-10 = 0 // + 10
2/3*x = 10 // : 2/3
x = 10/2/3
x = 15
------------------------------------------------------------------------Hope i helped!!
Have a great day!!
( `w`)``
There are 120 bouncy balls in a display bin. Of the bouncy balls in the bin, one-half are priced at $0.25 each, one-fifth are priced at $0.75, and the remaining bouncy balls are priced at $1.50. What is the total value of the bouncy balls in the bin? Write a numerical expression that can be used to solve the problem. Then solve it.
Answer:
$87
Step-by-step explanation:
Total bouncy balls = 120
one-half are priced at $0.25 each
1/2 of 120
= 1/2 × 120
= 120/2
= 60
Price of 1/2 = 60 × $0.25
= $15
one-fifth are priced at $0.75
1/5 of 120
= 1/5 × 120
= 120/5
= 24
Price of 1/5 = 24 × $0.75
= $18
Remaining bouncy balls = 120 - 60 - 24
= 36
Price of remaining balls = 36 × $1.50
= $54
Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls
= $15 + $18 + $54
= $87
WILL GIVE BRAINLIEST!!
1yd 1ft = _____yd
A. 1 1/12
B. 1 1/2
C. 1 1/6
D. 1 1/3
Answer:
B
Step-by-step explanation:
1 yard and 1 foot = 1 1/2
BRAINLIEST PLEASE
Need help asp!!!plz
What is the output of the function y = 2" + 4 if the input is -2?
Answer:
Step-by-step explanation:
4(s + 50) 52 +30s + 200
A graphic novel prints 12 issues per year, and a comic book prints 10 issues per year. The total number
of pages in all the issues of the graphic novel for one year is 32 more than the total number of pages in
all the issues of the comic book for one year. Each issue of the graphic novel has 18 fewer pages than
each issue of the comic book. Which system of equations can be used to find g, the number of pages in
each issue of the graphic novel, and c, the number of pages in each issue of the comic book?
Answer:
answer is che choi
Step-by-step explanation: wow ur in high school mathematics? i have this same question in middle school algrbra HHAHA
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?
Answer:
Step-by-step explanation:
20
Round 79.045 to the nearest tenth
Answer:79.50
Step-by-step explanation:
Complete the equation so that it has the indicated number of solutions.
One integer solution: 3x - 3 = ___x + 11
Group of answer choices
7
5
3
6
Mr. Zahbor has a balance on his credit card of $212.45. He writes a check for $165.45. After he has paid, how much more will he need to pay to have a zero balance?
Answer:
$47
Step-by-step explanation:
solve using elimination 3x-3y=-2, -6x+6y=4 (please show your work if possible)
Just some simple fraction problems, I am stuck on this though.
Answer:
5 1/6 ÷ 4 2/3 = 31/28
3 3/4 ÷ 1 2/8 = 3
4 2/4 ÷ 2 1/4 = 2
5 2/5 ÷ 1 4/5 = 3
4 2/8 ÷ 3 2/4 = 17/4
3 3/9 ÷ 2 4/12 = 10/7
7 1/2 ÷ 3 3/5 = 25/12
6 2/8 ÷ 3 1/3 = 15/8
Explanation:
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14
4y+(-2e)+6x
x=98
e=36
y=14
Please help me
Answer:
572
Step-by-step explanation:
4y + (-2e) + 6x
4(14) + (-2(36)) + 6(98)
56 - 72 + 588
-16 + 588
572
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
Find the solution of the system of equations shown on the graph.
Answer:
(7,-6)
Step-by-step explanation:
The solution of the systems of equations is the point where the lines intersect. So just looking at the graph, you can see that the point (7,-6) is where the two lines intersect.
Hope this helps! :)
SOLVE. |y - z| when y=7, z= 11
please help I am super confused and im in the middle of the test
Answer:
[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]
Can anybody help(>v<)
Answer:
-7/10, -0.2, 1/2, 0.7
Step-by-step explanation:
Plzz have brainiest
HELP DUE TOMORROW ASAP BAINLYEST
Answer:
B is the correct answer
Step-by-step explanation:
3/12 = 1/4 = 0.25
Answer:
Step-by-step explanation:
(B)