The 7th term of the given geometric sequence is equal to: A. 448.
Given the following sequence:
7, -14, 28, -56....What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.[tex]a_1[/tex] is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{7} =7 \times -2^{7-1}\\\\a_{7} =7 \times -2^{6}\\\\a_{7} =7 \times 64[/tex]
7th term = 448.
Read more on geometric sequence here: brainly.com/question/12630565
In the diagram below which ratio is equal to sin R
Answer:
[tex]\huge\boxed{Option \ 4}[/tex]
Step-by-step explanation:
[tex]\displaystyle sin \theta = \frac{opposite }{hypotenuse}[/tex]
Where opposite = 55, hypotenuse = 73
[tex]\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807x2 - 49 = 0 solve in factored form
Answer:
x = -7 or 7
Step-by-step explanation:
x² - 49 = 0
→ Factorise
( x + 7 ) ( x - 7 )
→ Solve
x = -7 or 7
Answer:
(x + 7) (x - 7) = 0
x + 7 = 0 and x - 7 = 0
So, x = +7 and -7
Hope this helps!
GIVING OUt BRAINLIEST HELP PLSSS
Answer:
Step-by-step explanation:
135 degrees
brainly plz
Cual es la pendiente de la recta qué pasa por los puntos (-4,-4) y (-4,-9)
Answer:
Step-by-step explanation:
(x1 = -4, y1 = -4) y ( x2 = -4, y2 = -9)
la pendiente es indefinida por que es una recta vertical
m= (y2-y1)/(x2-x1) = (-9+4)/ (-4+4) = -5/0 indefinida
Jasper's parents keep a chart on the wall where they mark how much Jasper grows each year. When Jasper was 15, he grew 1/10 of an inch and when he was 16, he grew 3/10 of an inch. In total, how much did Jasper grow in during those two years?
Write your answer as a fraction or as a whole or mixed number.
Answer:
In order to find the total inches Jasper grew during the two years, we have to add up the total inches he grew when he was 15 and the total inches he grew when he was 16. Therefore, we have to add 1/10 and 3/10 together.
1/10 + 3/10 = 4/10, or 2/5.
Therefore, Jasper grew a total of 2/5 inches in those two years.
PLEASE HELP
The Ocean Bike Tour Group thought it would be a good idea to get a souvenir T-shirt for each customer who went on their bike tour. They found a company who would sell them shirts with their logo for $5.50.
What is the dependent variable in this relationship?
Write an equation that shows how to determine the T-shirt cost (c) for any number of customers (n).
What would be the cost for 21 shirts? Write your answer as a number only.
0 points
How many shirts did the company buy if their total cost is $110? Write your answer as a number only.
0 points
Answer:
Cost of shirt
c = $5.50x
$115.5
20 t - shirts
Step-by-step explanation:
The dependent variable here is Cost of shirt
T - shirt cost , c equation of any number of customers :
The cost per shirt = $5.50
Let the number of shirts purchased = x
Hence,
c = $5.50x
The cost 21 shirts
x = 21
c = $5.50 * 21 = $115. 5
With c = $110
number of shirts, n equals
110 = 5.50x
110/ 5.5 = x
20
= 20 at shirts
which of the following best defines alternate interior angles?
1) non-adjacent angles formed by the intersection of two lines
2) adjacent angles that form a right angle
3) adjacent angles that form a straight angle
4) angles on the same side of a transversal and in the same position related to parallel lines
Answer:
its a
Step-by-step explanation:
brainliest pls
Find the volume of the prism.
12 m
6 m
11 m
The volume is
cubic meters.
Answer:
792
Step-by-step explanation:
formula = whl
w= 12
h = 6
l = 11
= 12*6*11
= 792
Hope u understand
Please mark as the barinliest
If h(x) = x2 – 3x + 2, what is the value of h(-x)?
Answer:
-2
Step-by-step explanation:
h(-4) = -4
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Pls help math and yet i still do not understand
Answer:
x = 65º
Step-by-step explanation:
Isoceles Triangle Theorem: If the two sides of an isoceles triangle are congruent, then angles opposite those sides are congruent.
Therefore x = 65º
Find the amount of interest earned on $5,000 at 15% compounded annually for 10 years. (Round your answer to the nearest dollar.)
Answer:
$7500
Step-by-step explanation:
I=PRT
=5,000×0.15×10
Teavana has a shop in the airport and offers samples of the newest flavors of tea. Travelers who are waiting for their flights can taste the new tea at Teavana and answer a short survey on a tablet handed to them by a Teavana employee about the latest flavor. This is an example of which type of primary data
Answer:
- Computer-assisted self-interviewing.
Step-by-step explanation:
'Primary data' is characterized as the data or the information gathered firsthand for a particular purpose or research. Such data is collected personally through surveys, observations, and direct interviews.
As per the details, the given data illustrates 'computer-assisted self-interviewing' as the kind of primary data as the data is collected directly from the travelers visiting the airport using the brief survey method on a tablet. This will help Teavana make credible inferences regarding the people's reviews about their latest tea flavors so that they can make necessary alterations as per the likes and preferences of the people.
Mark travelled a distance of 140 miles. If it took him 3.5 hours to arrive at his destination, what was his rate of travel in miles per hour?
Answer:
40 mph
Step-by-step explanation:
140 / 3.5 = 40
he traveled 40 miles per hour
Check
40 x 3.5 = 120 + 20 = 140
If my answer is incorrect, pls correct me!
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-Chetan K
What is LN? The image consists of a number line labelled from negative 4 to positive 16 in the interval of two. Points L, M and N are marked -2, +6 and +12 respectively.
A . 14
B. 10
C. 16
D. 7
========================================================
Explanation:
Let's add point P at the location 0 on the number line.
The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.
Similarly, segment PN is 12 units long
Refer to the diagram below
The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.
Point M is not used at all.
whats 9+10 if u get it right I give u brainliest |100 Points|
Answer:
[tex]9 + 10 = 19[/tex]
hope it helps
Answer: 21
Explanation: For the meme
Write the equation of the circle containing the point (8, 1) and a center at (4, –9).
9514 1404 393
Answer:
(x -4)² +(y +9)² = 116
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r
The value of the r² term can be found by using the point in the circle expression.
(x -4)² +(y +9)² = (8 -4)² +(1 +9)² = 16 +100
(x -4)² +(y +9)² = 116 . . . . . equation of the circle
The function p(h)=0.375h+3 represents the supply model to determine the millions of
available workers with the minimum hourly wage,h. Find the number of workers when the
minimum wage is $5.15 per hour. Round to the nearest hundredth place.
Answer:
4.93 million workers
Step-by-step explanation:
0.375*5.15+3 = 4.93125
The number of available workers is 4.93
The given expression:
[tex]p(h) = 0.375h + 3[/tex]
where;
h is the minimum hourly wage = $5.15
To find:
the number of workersThe number of available workers is calculated as follows:
[tex]p(5.15) = 0.375(5.15) + 3\\\\p(5.15) = 4.931\\\\p(5.15) \approx 4.93[/tex]
Thus, the number of available workers is 4.93
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I need this please help me
Answer:
C. Reflection over x- axis, down 6 right 3
Step-by-step explanation:
PLEASE HELP I DONT KNOW
Answer:
the answer is d circumference
What is the sum of the numbers, written in scientific notation?
1.4 x 103 and 5.6 x 102
A. 1.96 x 2
B. 1.96 x 10^3
C. 1.96 x 4
D. 1.969 x 5
Answer: D) 1.969 x 5
Step-by-step explanation: Hope this help :D
What are the slope and the y intercept of the graph of the linear function shown on the grid?
Answer:
The slope is -0.5 or -1/2
The y intercept is -2
35 points
(algebra one)
describe and correct the error in comparing the graphs
What are the dimensions, a, b, and c, of the net? a = cm b = cm c = cm
What is the domain?
A
B
C
D
Answer:
C
Step-by-step explanation:
1. The domain is the x-value of a function.
2. In that image, the x-values are the numbers on the left of each parenthesis.
3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.
Pj spun the spinner 12 times. He landed on the number 3 four times. How does the theoretical probability compare to the experimental probability
Answer:She spun the arrow. 40 times and recorded the frequencies in the table. Based on the data, what is the probability that the next spin will land on H
Step-by-step explanation:
if a car is worth 16400 and it depreciates 8.25, in 10 years how much will it be worth?
Answer:
$6932.73
Step-by-step explanation:
16400(0.9175)^10
6932.73464
Grandma decides to pay for her new granddaughter's education. She gives
her one penny on her first birthday, and doubles the gift every year. Round
to the nearest hundredth. Do not use a dollar sign, numerical values only.
What will be the total of all the gifts on the girl's 18th birthday?
Answer:
Around 0.40
Step-by-step explanation
If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.
The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
What is the sum of the terms of a geometric series till nth term?Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is r, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]
For this case, we are specified that:
Grandma gives 1 penny on first birthday of her granddaughterGrandma increases the gift by doubling the previous birthday gift.That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).
The gift amounts would look like:
[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]
We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).
Thus, we have: n = 18, a = 1, and r = 2.
The sum will be:
[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]
There are 100 cents in 1 dollars,
Thus, 1 cent = 0.01 dollars,
and thus, 262143 cents form 2621.43 dollars.
Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
Learn more about sum of terms of geometric sequence here:
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Convert the following statement into an expression and then find its solution for m = -1. “8more than 4 times a number m”
Plz this is urgent someone plz plz plz plz plz worth 21 pt and brainlest
Answer:
8
Step-by-step explanation:
500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661
How many students scored below 80?
11
19
cannot be determined from the histogram
9
Answer:
11
Step-by-step explanation: