Answers
Answer:
There are(2) terms in sequence1,3,9,27,81,243...6561
Step-by-step explanation:
1,3,9,27,81,243,729,2187,6561
There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.
To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.
1 * 3 = 3
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
81 * 3 = 243
243 * 3 = 729
729 * 3 = 2187
2187 * 3 = 6561
As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.
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Related Questions
I am a 2 digit number.I have six in the one place.I am less than 24.What number am I talking about?
Answers
Answer:
16
Step-by-step explanation:
The digit '6' is in the ones place.
It is a 2 digit number so the number is between 10 and 24.
=> 16
Natalie reads an average of 205 minutes a week. A year has 52 weeks.
How many minutes does Natalie read in a year?
Answers
Multiply weeks by minutes per week:
52 x 205 = 10,660 total minutes per year
Work Shown:
205 minutes: 1 week
52*(205 minutes) : 52*(1 week)
10660 minutes : 52 weeks
10660 minutes : 1 year
2) There's 5 blue, 2 orange, and 7 green
candy's in a bag, What's the probability of
picking an orange not replacing and then
picking a green?
Answers
To pick an orange first, you have 2/14 chance. (2 orange out of 14 possible)
To pick a green next, you have 7/13 chance. (7 green out of 13 remaining possible)
Total probability is 2/14 * 7/13 = 2/26 = 0. 07692307692. Or about 7.7% chance.
Choose the correct statement. Consider the expression: 6.43
А
The product of one rational number and one irrational number is rational.
B
The product of one rational and one irrational number is irrational.
C
The product of two irrational numbers is irrational.
D
The product of two rational numbers is rational.
Answers
Answer:
D
Step-by-step explanation:
Goky kwiwiwjwjjwiwjwiw
Jean can bake 42 loaves of bread every 4 hours. At this rate, how many loaves of bread can he bake in one
week (7 days) if he works 8 hour days?
HELPPPP
Answers
Answer:
588 loaves
Step-by-step explanation:
First determine how many hours in the 7 days that he works
7 days * 8 hours = 56 hours
Using a ratio
42 loaves x loaves
-------------- = ----------------
4 hours 56 hours
Using cross products
42* 56 = 4x
Divide by 4
42 *56/4 = x
588 loaves
What would be the most logical first step for solving this quadratic equation?
x2 + 2x + 13 = -8
A. Divide both sides by x
B. Take the square root of both sides
Ο Ο
C. Add 8 to both sides
D. Subtract 13 from both sides
Answers
Answer:
C. Add 8 to both sides
Step-by-step explanation:
This is done in order to equate the equation to zero so that it relates to the general equation.
[tex] {ax}^{2} + bx + c = 0[/tex]
c is (13 + 8)
Please anyone assist me solve those two mathematics questions.
Answers
Answer:
1) The polar form of that equation will be r= √5cos(2θ)
2) i am stuck on this one (sorry)
Step-by-step explanation:
(i) We know that [tex]x = r\cos{\theta}\:\text{and}\:y = r\sin{\theta}.[/tex] So we can write the given equation as
[tex]r^2\cos^2\theta - r^2\sin^2\theta = 5[/tex]
[tex]\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 5[/tex]
[tex]r^2 = \dfrac{5}{(\cos^2\theta - \sin^2\theta)}[/tex]
[tex]\:\:\:\:\:=\dfrac{5}{\cos{2\theta}} = 5\sec{2\theta}[/tex]
(ii) Recall that
[tex]\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\csc{\theta} = \dfrac{1}{\sin{\theta}}[/tex]
so we can write r as
[tex]r = 8\cot{\theta}\csc{\theta}[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{\cos{\theta}}{\sin{\theta}}\right)\left(\dfrac{1}{\sin{\theta}}\right)[/tex]
[tex]\:\:\:\:= 8\left(\dfrac{x}{y}\right)\!\left(\dfrac{r}{y}\right) = \dfrac{8xr}{y^2}[/tex]
Upon simplification, we get
[tex]y^2 = 8x[/tex]
If my weekly income was to increase by 15% next year.
How much would I be earning in a week then? (was $750 a week)
Answers
Answer:
862.50
Step-by-step explanation:
First find the amount of increase
750 * 15%
750 *.15
112.50
Add this to the original amount
750+112.50
862.50
Solve for x: 2(x + 6) = 22
Answers
Answer:
5
Step-by-step explanation:
2(x+6)=22
(x+6)=11
x=5
x = 5
Step-by-step explanation:
2(x + 6) = 22
2x + 12 = 22
2x = 10
x = 5
___________________
Hope this helps!
Love you.
- doomdabomb
you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are natural numbers.
Answers
========================================================
Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
30+n = 30+0 = 30n/3 = 0/3 = 0sqrt(n+16) = sqrt(0+16) = 4The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
30+n = 30+9 = 39n/3 = 9/3 = 3sqrt(n+16) = sqrt(9+16) = 5We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain
30 + n = 30 + 0 = 30
n/3 = 0/3 = 0
√(n+16) = √(0+16) = 4
In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.
Therefore, n = 0 is not a possibility.
We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.
If n = 9, then,
30 + n = 30 + 9 = 39
n/3 = 9/3 = 3
√(n+16) = √(9+16) = 5
The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.
Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.
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A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
of air time is used for commercials?
Answers
Answer: Approximately 18.33%
Work Shown:
11/60 = 0.1833 approximately
This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.
compare and explain.
Answers
Please urgent
please solve
Answers
Answer:
1
Step-by-step explanation:
steps are in picture.Ignore hand writing
How do I find the size of CDO AND AOD
Answers
Answer:
you can use a protector for finding the angles and a ruler finding the length of the lines
Answer:
CDO=26cm
AOD=32cm
Step-by-step explanation:
Consider this expression.
m^2+ n^2
When m
-5 and n =
3, the value of the expression is
Answers
Step-by-step explanation:
m^2+ n^2 = (-5)² + 3² = 25+9 = 34
Answer:
34
Step-by-step explanation:
Edmentum/Plato
Simplify the expression. Write your answer using only positive exponents (3t^-4)
Answers
Answer:
[tex]\frac{3}{t^{4}}[/tex]
Step-by-step explanation:
x^-y=1/(x^y) so 3t^-4=3/(t^4)
Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?
Answers
answer
C = 263.76 m
Step-by-step explanation:
C = 2×pi×r
C = 2×3.14×21
C = 131.88 m
For 2 rounds,
C = 131.88 x 2
C = 263.76 m
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used Match each value to the correct expression 8, 22, 27 ,5, 15 ,0
Answers
Step-by-step explanation:
1. 27
2. 15
3. 22
James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed
(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed
(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript
(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript
Answers
9514 1404 393
Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
Is 3.1245769 a irrational number or a rational
Answers
To which set of numbers does 0.02020020002 belong?
Answers
9514 1404 393
Answer:
A. irrational only
Step-by-step explanation:
A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.
The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
Answers
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
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Select the matrix multiplication that transforms vector A to
vector B
Answers
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
Need help solving theses
Answers
a. f(x) = 10
b. f(x) = -46
c. x = 5
d. f(x) = sqrt(-2) + 1
e. f(x) = -5
f. x = 10
Maths Option answers.
Answers
Answer:
3, 4, 5
Step-by-step explanation:
so, we need to find all integers for which
23 <= 7x + 2 <= 37
=>
21 <= 7x <= 35
3 <= x <= 5
so, that is correct for x = 3, x = 4 and x = 5.
Given that ZZ -- LX, M2W = x + 3, and m_Y = 2%-13)
3, find the value of x for which WXYZ must be a parallelogram.
Answers
9514 1404 393
Answer:
(c) 16
Step-by-step explanation:
The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.
x +3 = 2x -13
16 = x . . . . . . . . . . add 13-x to both sides
Review the following problem and answer the questions that follow.
Problem: 23 - (-2)
Answer: 21
1) Where did I make the mistake?
2) What suggestion would you give me to avoid making that same mistake in the
future?
Answers
you forgot the main part!
the correct answer is 25
.
your sign will be + not - because when you multiply two negative signs It will be positive
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
Answers
Answer:
x = 2
Step-by-step explanation:
x+4=3x
-x -x
----------
4 = 2x
/2 /2
---------
2 = x
Solve for v.
V
4
9
12
Simplify your answer as much as possible.
Answers
Answer:
V = 3.
Step-by-step explanation:
(I'll try.)
v/9 = 4/12
you cancel the common factor which is four.
next, you multiple both sides by nine, which make:
9v
_ = 1 , 9
_____
9 3
,,
and I guess you simplify it, and then it becomes V = 3.
I suck at explaining, so you'll just have to trust me by word.
6 divided by 2 times in brackets 1 plus 2
Work this out please.
Answers
Answer:
9
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Given worded expression
6 divided by 2 times in brackets 1 plus 2
Convert wordings to numerical expression
6 ÷ 2 × (1 + 2)
Simplify value in parentheses/brackets
=6 ÷ 2 × 3
Simplify by division
=3 × 4
Simplify by multiplication
=[tex]\boxed{12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions