What is the explicit formula for the sequence: 32, 48, 72, 108,..
Verify with next one
48(3/2)=72Verified
formula
[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]
[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]
Answer:
[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
Step-by-step explanation:
The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.
Geometric sequence formula: [tex]a_n=a r^{n-1}[/tex]
where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio
Given [tex]a = 32[/tex]
To calculate [tex]r[/tex], divide one term by its previous term:
[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]
Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
What is the value of this expression?
2.3· 23.623
Answer: 54.3329
Step-by-step explanation:
I need help on doing this i don't really know how to do it. can someone help me?
also an explination
Step-by-step explanation:
x is the hypotenuse of the triangle.
to find x:
the sum of the square of the other two sides. ( a^2 + b^2 = x^2)
[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd[/tex]
x – y = 5
3x – 2y = 12
Please help will give 20 points
Answer:
[tex]{x,y} = {2,-3}[/tex]
Step-by-step explanation:
[tex]x - y = 5 \\\\[2] 3x - 2y = 12[/tex] <----------- Linear equations given
Graphic Representation of the Equations: PICTURE
[tex]y + x = 5 \\-2y + 3x = 12[/tex]
Solve by Substitution :
// Solve equation [1] for the variable [tex]x[/tex]
[tex][1] x = y + 5[/tex]
// Plug this in for variable [tex]x[/tex] in equation[tex][2][/tex]
[tex][2] 3*(y +5) - 2y = 12 \\ [2] y = -3[/tex]
// Solve equation [tex][2][/tex] for the variable [tex]y[/tex]
[tex][2] y = - 3[/tex]
// By now we know this much :
[tex]x = y+5 \\ y = -3[/tex]
// Use the y value to solve for [tex]x[/tex]
[tex]x = (-3)+5 = 2[/tex]
Solution :
[tex]{x,y} = {2,-3}[/tex]
mary was told that a line goes through points (1,3) and (6, -2) and has a slope of 3 explain why the informatio mary was given cannot be correct
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]
Find the quotient. (6 1/2 ÷ 3 2/3) ....1 17/22 23 5/6 21/3 2 3/4
Answer:
1 17/22
Step-by-step explanation:
please help will give brainliest
Answer:
Step-by-step explanation:
j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5
(2*(-2)+9*5-5)-(6*(-2)-4*5+2)
(-4+45-5)-(-12-20+2)
36-(-32+2)
36-(-30)
36+30
66
what is the median and mode of 28,34,34,50,54 answer=
Answer:
Mean (Average):40
Median (Middle): 34
Mode (Most Common):34
Step-by-step explanation:
Is this all the numbers
help me please i dont get it :(
Answer:
d
Step-by-step explanation:
the square root of 121 is 11
the square root of 64 is 8
soooo
(11x+8y)(11x-8y) makes the most sense
Answer:
D. (11x + 8y) (11x - 8y)
Step-by-step explanation:
Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²
Step 2: The difference of squares can be factored using the rule:
a² - b² = (a - b) (a + b)
(11x - 8y) (11x + 8y)
or
you can write it as
(11x + 8y) (11x - 8y)
Please help due today
It is a linear pair of angles hence supplementary
[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]
[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]
[tex]\\ \tt\hookrightarrow 3x=57[/tex]
[tex]\\ \tt\hookrightarrow x=19[/tex]
Explanation:
The angles shown is supplementary because the sum of 123 and 3x is 180.
Thus, the equation formed:
123 + 3x = 180°Subtract 123 both sides:
123 + 3x = 180°=> 123 - 123 + 3x = 180 - 123=> 3x = 57Divide 3 both sides:
=> x = 57/3 = 19The value of x is 19.
Provide the missing reasons for the proof.
Given: AB = CB
EB DB
Prove: ABC ~ EBD
Answer:
Number 1 is Given.
Number 2 is the corresponding parts theorem
AB and CB are similar
also EB and DB
Number 3 is SSA similarly theorem
Step-by-step explanation:
Find the lower and upper bound for:
50 kg
measured
to the nearest
10 kg
What is the value of the function when x=5 f(x) = x-5
Answer:
When x=5, f(x)=0
Step-by-step explanation:
[tex]f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0[/tex]
Therefore, when x=5, f(x)=0
Answer:
f(x) = 0
Step-by-step explanation:
given that x = 5f(x) = x - 5 .......replace x with 5
→ 5 - 5
→ 0
find the value of x in the figure.
Answer:
50°
Step-by-step explanation:
The blue lines form a Right-angled triangle.
*Such triangles have one angle equal to 90°.*
*Property*
Sum of all angles in a triangle = 180°
To find :
Value of x – an angle of the right-angled triangle.
Solution:
==> 90 + 40 + x = 180
==> 130 + x = 180
isolating x
==> x = 180 - 130
==> x = 50°
Find the equation function represented by the table below: 0 1 1 3 2 9 3 27
Answer:
0-11+3u have to exp
Step-by-step explanation:
so whene the disiredble answer
Find the perimeter of the rectangle, in yards.
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a RectangleThe perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3Length = 12 5/6Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
Read more on perimeter of a rectangle;
https://brainly.com/question/19819849
Answer:
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a Rectangle
The perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3
Length = 12 5/6
Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
Read more on perimeter of a rectangle;
brainly.com/question/19819849
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
How do the graphs of y = 1 and y=5/x+6 compare
Write an inequality that describes all the points that are more than 3 units from 5.
x>8 and x<2 are the two possible inequalities of |x - 5| > 3
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number
|x - 5| > 3
Now solve for x.
Suppose x - 5 is positive. Then
x - 5 > 3
x > 8
Suppose x - 5 is negative. Then |x - 5| = -(x - 5) = 5 - x
5-x>3
5-3>x
2>x
x<2
Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3
To learn more on Inequality click:
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Convert the fraction 4/5 to a decimal.
SHOW WORKING.
Answer:
The answer is 0.8
Step-by-step explanation:
[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]
Thus, The answer is 0.8
-TheUnknownScientist 72
What value of x satisfies this equation?
log2 (6x – 8) – log, 2^8=1
The value of x is?
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]
Add the product of ⅘and 6 to the quotient of 4/45÷4/5.
Answer:4/45÷4/5.
Solving-0.1,3-2
Answer-1/9
Step-by-step explanation:
A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?
Answer:
if i knew the answer i would say it but i need it to
Step-by-step explanation:
What are 3 ways to write x^3/2 ?
[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]
think it's right. i don't now(or remember) any other ways
Antonio earned $25 on Thursday and $65 on Saturday. On Sunday he gave 10% of
the money in the offering at church. How much did he give?
Answer:
$9
Step-by-step explanation:
Total money Antonio has on Sunday =25 + 65=90
Now,10%of 90=9
So he gave $9 to church
Write 6.38 times 10 to the power of -5 as a ordinary number
Answer:
0.0000638
Step-by-step explanation:
all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent
The number 6.38×10⁻⁵ written in ordinary form is 1/638000.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A number in scientific form as 6.38×10⁻⁵.
Now, We know an exponent must be written as a positive value.
Therefore,
6.38×10⁻⁵.
= 1/ 6.38×10⁵.
Now, The ordinary form of the number is when we write without the exponent.
So,
1/ 6.38×10⁵ is,
= 1/638000.
learn more about scientific notation here :
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X+2 is a factor of x^3- kx^2 +3x+7k. Find the value of k.
Explanation:
If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.
This means plugging x = -2 into the cubic expression will have it result in zero.
x^3- kx^2 +3x+7k = y
(-2)^3- k*(-2)^2 +3*(-2)+7k = 0
-8 - 4k - 6 + 7k = 0
3k - 14 = 0
3k = 14
k = 14/3
In the past year Manuel watched 64 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
80%
Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%
tell me if this is wrong please
Which shows the best way to estimate 553 ÷ 22?
Answer:
How many 22s can go in 553
Step-by-step explanation:
Please mark me as brainliest
Help, I don’t understand
Answer: -1
Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1
evaluate the expression 5(m-2) + 10w when m = 8.4 and w= 1.25
Hey there!
5(m - 2) + 2w
= 5(8.4 - 2) + 10(1.25)
= 5(8.4) + 5(-2) + 10(1.25)
= 42 - 10 + 10(1.25)
= 32 + 12.50
≈ 32 + 12.5
= 44.50
≈ 44.5
Thus, your answer is: 44.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)