Answer:
a₁₂ = 16384
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then
a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384
Answer:
16384
Step-by-step explanation:
We know that this is geometric sequence meaning we are multiplying the term before by a constant number.
We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.
Terms:
We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.
We can write this equation. 8 x 2 ^ (n-1)
n is the term number.
This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.
Answer:
Let's plug in our numbers!
8 x 2 ^ (12 - 1)
I use twelve because we're trying to figure out the 12th term.
8 x 2 ^ 11 = 16384
If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck
JoeLouis2
Find the total volume
Answer:3,500,640
Step-by-step explanation:
You multiply length×width×height
Sorry if I am wrong.
Giving brainly help find Find m∠H.
The required measure of the angle m∠H is given as 94°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12
Now,
m∠H = 8x - 2
= 8 (12) - 2
= 94°
Thus, the required measure of the angle m∠H is given as 94°.
Learn more about Angles here:
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Which store has the best buy on king-size candy bars?
Select two ratios that are equivalent to 7: 10.
Choose 2 answers:
А)
21:30
17:20
10:13
D
26:40
35:50
Answer:
21:30 (Both numbers are multiplied by 3)
35:50 (Both numbers are multiplied by 5)
Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3
Answer:
y = -0.2(x) + 3
Step-by-step explanation:
One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.
Our two points are then (5, 2) and (0,3)
To find the slope, we can use
[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]
Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get
2 = -0.2 (5) +b
2 = -1 + b
add 1 to both sides to isolate the b
b = 3
Our formula is thus
y = -0.2(x) + 3
what is the least number of apples that can be shared equally among either 6, 10 or 15 children?
A. 24
B. 30
C. 60
D. 90
Which equation is represented by the graph below?
ก
5
4+
3+
2+
1 2 3 4 5
X
54 -3 -2 -11
-27
-3
-4
Answer:
y = eˣ
Step-by-step explanation:
(Graphed via Desmos)
Help pleasee! I need to get this right.
Answer:
You got it! B. x ≤ -7 or x ≥ 2
Step-by-step explanation:
In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.
The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.
Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.
So, the final answer is B. x ≤ -7 or x ≥ 2.
*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).
Help please!
What is the probability of picking a purple marble and spinning green? 2 Answer: Write the answer as a simplified fraction.
Answer:
3/28
Step-by-step explanation:
1/7 times 6/8
Find the missing side
Answer:
See below
Step-by-step explanation:
Remember SOHCAHTOA
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case we use TOA.
tan(71) = x/34
x = tan(71) * 34
x = 98.7
Can someone please help asap thank you
Answer:
7%
Step-by-step explanation:
.07x1 is .07, therefore tax rate
please give brainliest im desperate
Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
(MULTIPLE CHOICE)
If f (x) = 3x² + 5x – 7 and g(x) = -5x2 - 4x + 1 what is f +g?
Answer:
Use Microsoft Math Solver
Step-by-step explanation:
it helps with all your math problems
What does it mean buy “Determine the total volume of the doghouse.”
I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers
If land is valued at $2400 per acre (1 acre is 43560 square feet), what is the value of the parcel of land?
Answer:
below
Step-by-step explanation:
the solution is
$2,400 * 43,560
=$104,544,000
Two baseball teams are selling raffle tickets to raise money. One team is selling tickets for $2.50 each and has already raised $200. The other team is selling tickets for 1.50 each and has already raised $250.
Which equation can be used to find t, the number of additional tickets each team needs to sell so that the total amount raised is the same for both teams?
Answer:
hsjnzxiiandmdoqgsshzbx
1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?
Answer:
29
Step-by-step explanation:
If you calculate the difference with the 45 and percentage you will get 29 including with the X and - should be east
The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?
Answer:
12.5 millimeters (mm).Step-by-step explanation:
Explain/define:
CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.
DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.
Mathematics: Formula
[tex]d=c/3.14[/tex]
[tex]d-diameter[/tex]
[tex]c-circumference[/tex]
Mathematics: Solve
To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.
3.14 is often used for pi.
[tex]39.25/3.14=12.5.[/tex]
Conclude:
Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).
what is the probability of picking the most expensive car from a range of 6 new cars
The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
given that,
the most expensive car from a range of 6 new cars.
so, total sample space = 6
the number of favorable outcome = 1
so, probability = 1/6
Now, the word “expensive” was used to confuse you but simply put, the probability of getting “the most expensive car” is 1/6.
It is 1/6 because there is nothing that heightens its chances of being picked over the other cars,
hence the probability of any car will be equal to that of the “most expensive car”.
And for a percentage:
(1/6) x (100) = 16.67%
Hence, The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.
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Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?
Answer: Hi the answer would be 32 Degrees
Step-by-step explanation:
help! f(x)=x^2 what is g(x)
Answer:
A. g(x) = (¼x)²
Step-by-step explanation:
___________
What's The actual length of QR (round to 3 decimal places) ?
Answer:
4.383
Step-by-step explanation:
Pythagoras
a² + b² = c²
with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).
so, in our example here c=6.5cm, a=QR, b=4.8cm
a² = c² - b² = 6.5² - 4.8² = 19.21
a = sqrt(19.21) = 4.383
What is 56 divided by 0.7
Answer:
56 ÷ 0.7 is 80
0.7 ÷ 56 is 0.0125
Does anybody know it part 2
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
For the following right triangle find the side length x round your answer to the nearest hundredth
Answer:
x ≈ 12.96
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 11² = 17²
x² + 121 = 289 ( subtract 121 from both sides )
x² = 168 ( take the square root of both sides )
x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)
Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5
If x+y=4a+7 and x-y=2a+5, solve for x in terms of a
A. 2a+2
B. 2a+5
C. 2a+6
D. 3a+4
E. 3a+6
Answer:
A
Step-by-step explanation:
x + y = 4a + 7
x - y = 2a + 5
In both equations, make x the subject of the formula
x = 4a + 7 - y equation 1
x = 2a + 5 + y equation 2
Subtract equation 2 from equation 1
2a + 2 -2y
= 2a + 2
Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart booth. At the concession stand, Miguel sells 7 soft pretzels for every 2 candied apples. How much profit will the concession stand make if it sells 161 soft pretzels? Explain.
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25
Graph the line that represents this equation: y = -5x +2
Answer:
Step-by-step explanation:
The +2 is the y-intercept, what value is y when x is zero. The -5/1 is your slope. Slope is always rise over run, y over x. Over 1, down 5