Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]
Step-by-step explanation:
cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report
Answer:
[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1Step-by-step explanation:
Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolutionLet's rewrite the given as:
[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]Let the value is m and the expressions under 3rd roots are a and b, then we have
a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛bCube the both sides:
m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]Simplify in bits:
a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5So the expression becomes:
m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15mSolve for m:
m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real rootsThe answer is 1
Simplify: (9a* - 5a'-1)+7a*
Answer:
The answer is -2a because first you multiple the number and eliminate redundant perenthese then last combine like terms and that how you get -2a
Find the slope of the line y=-6x-4. Type your answer as an integer.
Answer:
The slope is -6
Step-by-step explanation:
In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept
Therefore, -6 is slope and -4 is y-intercept
What is the slope of the line
help me plz
Answer: 2/3
Step-by-step explanation:
y=mx+b
Answer:
2/3
Step-by-step explanation:
the equation is in y=mx+b form and m=slope so 2/3 would be the slope.
hope this helped :)
What does the graph of a geometric sequence look like?
here is one I hope this helps lol I'll follow u if u follow me
Help me plsssss!!!!!!!!
Answer:
use math -way it helps a lot
Step-by-step explanation:
Which relation is a function?
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
Answer:
A
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
A function can be one-to-one and many-to-one but can not be one-to-many.
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can be one-to-one and many-to-one but can not be one-to-many.
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
This is not a function because we have one-to-many.
(1, 0) and (1, 1) are one-to-many.
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8).
This is a function because it satisfies the function.
The given relation are one-to-one.
C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
This is not a function because we have one-to-many.
(2, 7) and (2, 1) are one-to-many relations.
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)
This is not a function because we have one-to-many relations.
(4, -2) and (4, 2) are one-to-many relations.
Thus,
The relation that is a function is
(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),
Option B is the correct answer.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Write an equation to represent this problem and then solve it. Show all your steps.
Answer:
30 minutes each evening
Step-by-step explanation:
5.25 / 7 = 0.75 hours each day = 45 minutes
45 - 15 = 30 minutes
My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest
Answer:
MONDAY: 2 hours
Tuesday: $34.65
Thursday: -54
Friday: 5 complete bags
Sorry that I did not do the question below wednesday but I still hope this helps.
Pls mark me brainliest.
What is the slope of a line parallel to the line with equation 2x+4y=8
Answer:
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.
So,
2x + 4y = 8
4y = -2x + 8
[tex]y=\frac{-2x +8}{4}[/tex]
[tex]y=\frac{-2}{4}x+\frac{8}{4}[/tex]
[tex]y=\frac{-1}{2}x+2[/tex]
The slope is the coefficient of the x term, so
m = [tex]\frac{-1}{2}[/tex]
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
2x+4y=8
4y = -2x +8
y = [tex]-\frac{2}{4}[/tex]x + [tex]\frac{8}{4}[/tex]
y = [tex]-\frac{1}{2}[/tex]x + 2
y=mx+b so the slope is m=[tex]-\frac{1}{2}[/tex].
parallel lines have the same slope.
To get into an amusement park, people have to pay an entrance fee. Then they pay additional amount for each ride
(every ride costs same amount of money). John rode 8 rides and spent a total of $32 (including the entrance fee). Michael
rode 11 rides and paid $41. How much was the entrance fee and the cost of each ride?
Answer:
entrance fee: $8
cost of each ride: $3
A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What is the total cost of the helmet?
The point (2, 20) lies on the graph of y = kx'. Write the value of k.
Step-by-step explanation:
Y = 20 , X = 2
put in the equation
Y = KX ( given )
20 = K × 2
20/2 = K
10 = K
The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the median low temperature in International Falls for the first week of the month?
6 -9 -29 -31 -8 4 3
anwsers
a -9
b -9
c -8
d -31
please help
travelling 14m to the right first and travelling 19m to the left . calculate the final position
Answer:
5 meters to the left
Step-by-step explanation:
Given that :
First travel : 14 meters to the right
Second travel : 19 m to the left
Final position :
First travel - Second travel.
(14 m - 19m)
Final position = - 5 m
-5m = 5 meters to the left.
HELP ASAP. pls ❤️ if u do this i’ll luv u 4ever
Answer:
A' ( 2,3)
B' ( 5,5)
C ( 7,3)
D'(5,2)
Tera can jog 5.5 miles in 1
hour. At the same rate, how face can she jog in 2 hours
Answer:
11 miles
Step-by-step explanation:
if she can jog 5.5 miles in 1 hour, than in 2, she can jog 11 miles, because 5.5(miles) x 2 (hours) = 11
hope this helps :)
a brainliest would be appreciated
HELP PLS I GIVE BRAINLIEST
Answer:
1. $200
2. $65
3. $70
Step-by-step explanation:
1. 4x50=200
2. 200-135= 65
3. 135-65= 70
A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.
Answer:
this will be the correct answer
Jaxson drives 15 miles in 10 minutes. If he drove one hour in total at the same rate, how far did he go?
Answer:
90 miles
Step-by-step explanation:
15 miles/10 minutes = x miles/60 minutes
10*6=60 so 15*6=90
Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.
Answer: 14.66 in
Step-by-step explanation:
A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?
Answer:
1.5 Feet
Step-by-step explanation:
15 x .1 = 1.5
Solve the equations
3a + b = 10 and 2a + 4b =0.
3a + b = 10
2a + 4b=0
Answer:
a = 4 , b = -2
Step-by-step explanation:
3a + b = 10
2a + 4b = 0
(By using elimination method, eliminate one variable) - to get only one equation
(3a + b = 10 ) 4
2a + 4b = 0
12a + 4b = 40
(minus)
2a + 4b = 0
10a = 40
a = 40/10
a = 4
(substitute a into an equation to get b)
2a + 4b = 0
2(4) + 4b = 0
4b = 0 - 8
b = -8/4
b = -2
Plzzzz help ASAP!!!!!!
Answer:
J+9=S
Step-by-step explanation:
Answer:
j+9=s
Step-by-step explanation:
Find the length of side x in simplest radical from with a rational denominator.
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
To know more about trigonometry follow
https://brainly.com/question/24349828
#SPJ2
Find the Surface Area of the following figure:
16 ft
10 ft
7 ft
Answer:
1120
Step-by-step explanation:
What is the slope of the line that passes through the points (10,8) and (-15,18) wrote the answer in simplest form
Answer:
-2/5
Step-by-step explanation:
. A and B are vertical angles. If mA = (5x – 28) and
mB = (3x + 4)º, find the measure of each angle.
Answer:
measure of both angles is 52°
x = 16
Step-by-step explanation:
5x - 28 = 3x + 4
2x - 28 = 4
2x = 32
x = 16
Plug in 16 for 'x': 3(16) + 4 = 48 + 4 = 52°
Answer:
Both are 56°
Step-by-step explanation:
5x-28=3x+4
x=16
5(16)-28= 56°
find the value of y
Answer:
Step-by-step explanation:
[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]
Answer:
The answer is
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
By using Pythagoras
Then
[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]
3 pencils cost $0.45. What is the cost per pencil?
Answer:
0.15
Step-by-step explanation:
