Answer:
The given sequence is a geometric sequence and the common ratio is 4
Step-by-step explanation:
A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with a ratio r.
Given sequence is:
6,24,96,384,1536,…
Here
a1 = 6
a2 = 24
a3 = 96
a4 = 384
a5 = 1536
The common ratio is the ratio between consecutive terms of a geometric sequence.
If the common ratio of a sequence is same, then the sequence is a geometric sequence.
So,
[tex]r = \frac{a_2}{a_1} = \frac{24}{6} = 4\\r = \frac{a_3}{a_2} = \frac{96}{24} = 4\\r = \frac{a_4}{a_3} = \frac{384}{96} = 4\\r = \frac{a_5}{a_4} = \frac{1536}{384}= 4[/tex]
As the common ratio is same, the given sequence is a geometric sequence.
Hence,
The given sequence is a geometric sequence and the common ratio is 4
if 1=15 and 6=20 what is 3
Answer:
if 1=15 and 6=20 what is 3
=
25The third term of the sequence is 17
The given can be interpreted as thus:
Given the following parameters
First-term = 15
Sixth term = 20
Assuming the sequence is an arithmetic sequence, the nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
a = 15
T6 = a+ 5d
20 = 15 + 5d
20-15 = 5d
5 = 5d
d = 5/5
d = 1
Get the third term:
T3 = a+ 2d
T3 = 15 + 2(1)
T3 = 17
Hence the third term of the sequence is 17
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please somone help me. i don’t know how to do this.
Answer:
x=11
Step-by-step explanation:
116+35=151
180-151= 29
So then we plug in the equation
3x-4=29
Do the math and we get
x=11
expand form 16(2x - 1)
Answer:
32x - 16
Step-by-step explanation:
16(2x - 1)
16 • 2x - 16
32x - 16
Answer:
32x - 16
Step-by-step explanation:
distrubutive property: 16 times 2x plus 16 times -1
Tommy divided 768 by 8 and his answer was 97 r2. He made a mistake. What did he do wrong?
The answer is 96.
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(=θωθ=)
( > >) \/ \/_____nnsnnnsjjajsnsndnnd#nsnnsnznnznssns
The area of a rug is : 42 1/4 square feet. The rug is 6 1/2feet wide. What is the length of the rug?
Answer:
Square footage is calculated by multiplying width by length. So if a room is 9 foot wide by 12 foot long, 9 x 12 = 108 square feet.
Step-by-step explanation:
This should help!
HELP
A house on the market was valued at $357,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house
Decrease :
Current value :
Answer:
$324,870.00
Step-by-step explanation:
357,000.00 x .09 = $32,130.00
357,000.00 - $$32,130.00 = $324,870.00
Please help me on this
Answer:
30
Step-by-step explanation:
Answer: I am pretty sure the answer is 30. So option C
Step-by-step explanation:
When Carla looked out at the school parking lot, she noticed that for every 2 vans, there were 5 trucks. If there
were 84 total vehicles in the parking lot, how many of them were trucks?
Answer:
60 trucks
Step-by-step explanation:
2x12=24
5x12=60
60+24=84 total vehicles
60 of them are trucks.
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three point
Complete question :
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
Answer:
0.405224
Step-by-step explanation:
Given that:
p(success) = p = 74% = 0.74
If given 3 free throws ; probability of making all 3
Using binomial fórmula :
p = 0.74 ;
1 - p = 0.26
P( x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 3C3 * 0.74^3 * 0.26^0
P(x = 3) = 1 * 0.405224 * 1
P(x = 3) = 0.405224
the length or a rectangle is 11 centimeters less than 4 times it width its area is 20 square centimeters find the dimension of the rectangle use formula aera = length*width the width is cm
what is the value of 2.57 1.75
Answer:
2.57 - 1.75 = 0.82
Step-by-step explanation:
Let us assume that we need to find the value of 2.57 - 1.75 i.e. we need to subtract 1.75 from 2.57. It can be done as follows :
The first number is 2.57 and other no is 1.75.
In 2.57, 2 is in ones place, 5 is in tenths place and 7 is in hundredths place.
In 1.75, 1 is in ones place, 7 is in tenths place and 5 is in hundredths place.
Subraction :
2.57
- 1.75
= 0.82
Hence, the value of 2.57 - 1.75 is 0.82
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
I WILL GIVE BRAINLIEST PLEASE DO UPSIDE OWN CAKE METHOD AND SIMPIFLY
Answer:
6 over 25
Step-by-step explanation
I dont what the method yur talking about but the answer
using completing the square method in quadratic equation 5x²+ 11x + 2=0
Answer:
x= 1/5 or -2
Step-by-step explanation:
5x² +11x +2= 0
(Divide through by the coefficient of x²)
5x²/5 + 11x/5 + 2/5 = 0/5
x² + 11x/5 + 2/5 = 0
(take the constant to the other side)
x² + 11x/5 = -2/5
(Add 1/2 of the coefficisint of x all square to both sides)
x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²
x² + x + (11/10)² = -2/5 + (11/10)²
x² + x + (11/10)² = -2/5 + 121/100
(eliminate x )
x² + (11/10)² = (20(-2) + 121 ) ÷ 100
(x + 11/10 )² = (-40 + 121) ÷ 100
(x + 11/10 )² = 81/100
(square both sides)
x + 11/ 10 =√(81/100)
x + 11/10 = 9/10
x = -11/10 +or- 9/10
x = -11/10 + 9/10 or -11/10 - 9/10
x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10
x = -2/ 10 or -20/10
x = -1/5 or -2
Factor completely a^2− 7a + 10
Answer:
(a - 2) • (a - 5)
Step-by-step explanation:
a^2 - 2a - 5a +10
a • a(a - 2) - 5a + 10
(a - 2) • (a - 5)
What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06
Answer: its 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points
The value of x in the equation is 4.
What is an algebraic expression?An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.
From the given information:
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Open brackets
12x + 8 - 6 + 2x = 12x + 9 + 1
Collect like terms
12x + 2x - 12x = -8 + 6+9 + 1
14x - 12x = -8 + 16
2x = 8
x = 8/2
x = 4
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Abu donated 10% of his savings to build a mosque and gave 30% of the rest of his savings to his son. What percentage of his savings has he remaining ?
(A) 27%
(B) 37%
(C) 60%.
(D) 63%
The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
Five friends want to share 1,000
comic books equally. Can you use mental math to find how many
comic books each friend will get?
Answer:
each friend gets 200 books
Step-by-step explanation:
1,000÷5=200
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°. Find the length of k, to the nearest 10th of an inch
Answer:
10.5
Step-by-step explanation:
sin29
k
=
sin124
18
Plug in. Opposite sides go together.
k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5
k=
sin124
18sin29
≈10.526≈10.5
The required length of k is 10.5 inches for the given triangle.
What is the sine rule?The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.
a/sinA = b/sinB = c/sinC
The triangle is given in the question, as follows:
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°.
We have to determine the length of k.
As per the sine rule, the required solution would be as:
m/sin∠M = k/sin∠K
Substitute the known values and we get
18/sin 124° = k/sin 29°
k = (18/sin 124°) × sin 29°
k ≈ 10.5
Thus, the length of k is 10.5 inches.
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Suppose you have ordered one medium onion ring and one 16oz chocolate shake from Burger King. The onion rings have 19 grams of fat and the shake has 23 grams of fat. If each cheeseburger has 13 grams of fat, how many cheeseburgers can you order and still keep the total fat content of the meal to no more than 81 grams?
Answer:
3 cheese burgers.
Step-by-step explanation:
What is the slope of the line?answer
Answer:
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
Answer:
The slope of the line is -2.
Step-by-step explanation:
Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.
But, if it was in fraction form the slope would be -2/3.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
In the morning, a group of hikers hiked 3 3/4 miles, took a break, and then hiked another 2 3/4 miles. The group then stopped for lunch. In the afternoon, the group then hiked 4 3/4 miles, took another break, and then hiked 2 1/2 miles. Which of the following statements are true?
What are the following statements?
The hikers in total travelled for [tex]13\frac{3}{4}[/tex].
What is addition?
Addition in maths, a process of combining two or more numbers.
Given that, in the morning, a group of hikers hiked 3 3/4 miles, took a break, and then hiked another 2 3/4 miles. The group then stopped for lunch. In the afternoon, the group then hiked 4 3/4 miles, took another break, and then hiked 2 1/2 miles
[tex]3\frac{3}{4} +2\frac{3}{4} +4\frac{3}{4} + 2\frac{1}{2}[/tex]
15/4+11/4+19/4+5/2 = 55/4
= [tex]13\frac{3}{4}[/tex].
Hence, The hikers in total travelled for [tex]13\frac{3}{4}[/tex].
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Please help it’s due tonight and my online teacher don’t help me or teach me please!!! ♥️
Answer:
x=4
Step-by-step explanation:
A+B=C
A^2+X=C^2
12^2+X=24^2
144+X=576
/144 /144
x=4
can someone help me with these please
Answer:
Step-by-step explanation:
1 hour = 3600 sec
93204 sec = 93204/3600 = 25.89 hours
52026 min to hours
1 hour = 60 min
= 52026/60 = 867.1 min
PLEASE HELP! MY BIG SISTER DOES NOT WANT TO HELP ME! AND MY MOM AND DAD IS AT WORK! :( I miss them please help me this
Answer:
The answer is the one in middle
Step-by-step explanation:
The answer should be 5/36 , not 25/6
When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long.
Answer:
Um so then what is the question???
Step-by-step explanation:
Answer:
`She grew 5.75?
Step-by-step explanation:
I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol
M-5=49 please answer I need help
Answer:
M=54
Step-by-step explanation:
If you are trying to find the value of M, you add 5 to both sides
M-5+5=49+5
this way the M is all by itself on the left side of the equal sign because -5+5=0
when we combine the like terms we get
M+0=54
therefore M=54
Also 54-5=49
Find the value of (3x) in the figure
To find the missing angle, we need to find x.
[tex]3x + 2x - 10 = 180\\\\5x - 10 = 180\\\\5x = 190\\\\x = 38[/tex]
Now, we plug in what we got for x into 3x.
[tex]3(38)\\\\114[/tex]
The value of 3x is 114.