A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.
[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]
Given sequence is,
500, 100, 20......
Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]
= [tex]\frac{1}{5}[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]
And the given sequence will be geometric sequence.
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Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.
1. 123 ÷ 4
2. 1.23 ÷ 0.4
3. 1,230 ÷ 40
4. 123 ÷ 0.04
Answer:
1 and 3
Because if you move the decimal point for one number you also have to move it for the other.
first to help gets brainliest
simplify each od the following ratios a) 15/24 :9/7
b) 2/3 : 3/2 : 5/8
Answer:
Fourth Option
Step-by-step explanation:
In order to find the answer to this question you must find the common number and then divide the numerator and the denominator by that number.
[tex]\frac{15}{24}[/tex]
[tex]CN=3[/tex]
[tex]15\div3=5[/tex]
[tex]24\div3=8[/tex]
[tex]=\frac{5}{8}[/tex]
Hope this helps.
The mean number of cars owned is 2 and the standard deviation is 0.80. Fiona owns 3 cars. What is her z score?a. 1.50b. 2.00c. 1.25d. 2.25
Answer:
Her Z score is 1.25
Step-by-step explanation:
You have26 library books. Then you take out 15 more books. Now you have 27 books. How many books did you return.
Yvonne wants to rent a kayak for 7 hours. How much would this cost at each company? Which one should she choose?
Answer: raging river kayaks -63
paddlers-47
Step-by-step explanation: Hope its right
Answer: is, cost for, raging river kayaks -63 & paddlers-47.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
from the given chart we get,
the equation for raging river kayaks is, x= 9y
the equation for paddlers is, x= n+1
i.e. for 7 hrs. cost is, 63 & 47 respectively.
Hence, Answer: is, cost for, raging river kayaks -63 & paddlers-47.
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{(1,2), (2,4), (1,-3), (4,6)}
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Is the relation a function? [Select ]
State the domain. [Select]
State the
range.
[ Select]
Answer:
That is not a function ( because of the repeating number which is the 1.)
Domain: 1,2,4
Range:2,4,-3,6
Answer:
domain first no.before comma
1 2 1 4
range send no. after comma
2 4 -3 6
what is the value of |4.75|
It takes Louis 1 2/3 hours to write 5/6 of a short story. How long will it take Louis to complete the story?
Answer:
2 hours
Step-by-step explanation:
Answer:
do it in thirds so 10/6 and 5/6 now simplify = 2/6= 1/6 of the story so full story would be 12/6=6/3=2 hours
Step-by-step explanation:
Kiley had a piece of bamboo skewer that measured 14Three-fifths inches long. She wanted to cut it into toothpicks that were each 3One-fifth inches long. How many toothpicks can she make?
Answer:
69
Step-by-step explanation:
Nicole is trying to make extra money on her summer vacation from school. She works two different jobs, earning $19 per hour lifeguarding and $8 per hour landscaping, How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and 4 hours landscaping? How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and y hours landscaping?
Answer:
This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.
Step-by-step explanation:
$300 at 2.5% for 16 months
Answer:
Total: $420 (growth of $120)
Step-by-step explanation:
Multiply $300 by 0.025 (2.5%) which is equal to 7.5. Then multiply that by 16 months which gives you $120 added to your $300.
What is the slope and y intercept for 14X - 7Y = 28
Answer:
y = 2x - 4 (the slope is 2 or 2/1 and the y-intercept is -4)
Step-by-step explanation:
Subtract 14x from both sides of the equation.
This should get you -7y = 28 - 14x.
Then you need to divide by -7 on both sides.
y = -4 + 2x is the result
which you can switch around if you like and get y = 2x - 4
Can Someone Evaluate This Please
Answer:
6
Step-by-step explanation:
[tex] {4}^{2} - (x + 8)[/tex]
[tex] {4}^{2} - (2 + 8)[/tex]
[tex] {4}^{2} - 10[/tex]
[tex]4 \times 4 - 10[/tex]
[tex]16 - 10[/tex]
[tex] = 6[/tex]
So if he reads 147 pages of a book and he has completed 70% of the book how much would be left
Answer:
63 pages
Step-by-step explanation:
147/x=70/100
147=x(70/100)
x = 147/(70/100)
x = 210
210-147=63
Answer:
63 pages
Step-by-step explanation:
147 100
---- * ---- = 210 and then 210-147=63
1 70
by rounding each number to 1sf estimate the answers to 8.2*6.7/ 0.46
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]8.2\times \frac{6.7}{0.46}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{6.7\times \:8.2}{0.46}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:6.7\times \:8.2=54.94[/tex]
[tex]=\frac{54.94}{0.46}[/tex]
[tex]=100[/tex] (Round to 1 significant number)
Step-by-step explanation
80+80=1660 so we add the number together then agter times then after take away the number and use the nu
Six times a number plus twice a second number is four. Twice the first number plus four times the second number is 18. Find the numbers.
Answer:
Step-by-step explanation:
equation 1. 6a + 2b = 14 ( times this equation by -2)
equation 2. 2a + 4b = 18
equation 1 becomes -12a - 4b = -28
equation 2. remains. 2a + 4b = 18
Cancel out the b’s
-10 a = -10 (Divide both sides by -10)
a = 1
substitute 1 for a to find b
i think your numbers in the problem you gave is not accurate though
please check it again
b = 4
Which angle pairs are congruent angle pairs? Select all that apply.
alternate exterior
same-side (consecutive exterior)
same-side (consecutive interior)
alternate interior
corresponding
linear pair
vertical
All are angle pair relationship, except consecutive exterior.
Why is it essential to know how to solve Exponential equations in order to solve Logarithmic equations? (Make sure to fully explain).
Answer:
Because you need it for your later life and for your GCSES and if you dont want to fail then you will need it.
Step-by-step explanation:
Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.
six Notebooks cost 720 find the cost of 44 note books
Explanation:
720/6 = 120
44 x 120 = 5280
Answer:
$5280
Hope this helps!!!!!
Step-by-step explanation:
Cost of 6 notebooks = 720
Then, cost of 1 notebook = 720/6
Therefore, cost of 44 notebooks = 720/6 x 44
= 120 x 44
= 5,280
Therefore, the cost of 44 notebooks will be 5,280
The expression -7y is a _____. pls answer quickly i'm giving 40 for an answer.
variable
term
constant
Answer: Term
In math, a "term" is another word for "monomial".
If you add a bunch of monomials (or terms) together, you get a polynomial.
Which of the ratios below has a unit rate of 50? Select all that apply.
A) 250:5
B) 100:2
C) 75:25
D) 300:6
E) 600:12
Simplify ratio 10 :200
Answer:
Step-by-step explanation:
10 : 200
Both have table of 10 in common
1 : 20
if you can answer this question right ill mark you brainiest thanks
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Learning Task 4 : Do the following in your notebook.
A. Find the equation of the line given the graph.
Answer:
Question 3: y =x+2
Step-by-step explanation:
to find the equation use y=mx+c where m is the gradient/slope and c is the y intercept. In example 3, the y intercept is 2 so thats why the equation ends in +2, and the slope which is calculated by rise over run, is 2 over 2, or 1 so x doesnt need a coefficient.
The yard care staff can mow 45 lawns in a 10-hour work day. Each of the 9 workers can mow the same number of lawns per hour. How many lawn can one worker mow per hour
If it takes 10 hours for 9 workers to mow 45 lawns, dividing the 45 lawns by 9 we see that in 10 hours one worker can mow 5 lawns. This means that in one hour, a single worker can mow 5/10=1/2 of a lawn
5 note books cost $20. At this rate, how much how much would 2 note books cost?
Answer:20
Step-by-step explanation:
each on costs 10$
Answer: 8 dollar
Step-by-step explanation:
5 notebook = 20$
So if we divide 20/5 = 4
Which is the cost per notebook
So if 1 notebook = 4$
2 notebook = 8$
You have given a function λ : R → R with the following properties (x ∈ R, n ∈ N):
λ(n) = 0 , λ(x + 1) = λ(x) , λ(n+1/2)=1
Find two functions p, q : R → R with q(x)6=0 for all x such that λ(x) = q(x)(p(x) + 1).
Answer:
One possible combination:
[tex]p(x) = \sin(2\, \pi \, x) - 1[/tex].
[tex]\displaystyle q(x) = \frac{1}{2}[/tex].
[tex]\displaystyle \lambda(x) = \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2}[/tex].
Step-by-step explanation:
The requirement that [tex]\lambda(x + 1) = \lambda(x)[/tex] for all [tex]x \in \mathbb{R}[/tex] suggests that [tex]\lambda[/tex] should be a cyclic function with a period of [tex]1[/tex].
One such example is the sine function. Let [tex]\omega[/tex] denote a non-zero real number. Consider the expression [tex]\sin(\omega\, x)[/tex].
[tex]\begin{aligned}\sin(\omega\, x) &= \sin(\omega\, x + 2\, \pi) \\ &= \sin\left(\omega\, \left(x + \frac{2\, \pi}{\omega}\right)\right)\end{aligned}[/tex].
Note how replacing [tex]x[/tex] with [tex]\displaystyle \left(x + \frac{2\, \pi}{\omega}\right)[/tex] does not change the value of [tex]\sin(\omega\, x)[/tex]. Therefore, the period of [tex]\sin(\omega\, x)\![/tex] would be [tex]\displaystyle \frac{2\, \pi}{\omega}[/tex].
The question requires that replacing the [tex]x[/tex] with [tex](x + 1)[/tex] should not change the value of [tex]\lambda(x)[/tex]. In other words, the period of [tex]\lambda[/tex] should be [tex]1[/tex]. If [tex]\lambda(x)\![/tex] is indeed in the form [tex]\sin(\omega\, x)[/tex], the value of [tex]\omega[/tex] should ensure that [tex]\displaystyle \frac{2\, \pi}{\omega} = 1[/tex]. Therefore, [tex]\omega = 2\,\pi[/tex].
It would take a few more transformations to ensure that for all integers [tex]n[/tex],[tex]\displaystyle \lambda(n) = 0[/tex] and [tex]\displaystyle \lambda\left(n + \frac{1}{2}\right) = 1[/tex].
One possible approach is to make each [tex]n[/tex] a trough of this function, and each [tex]\displaystyle\left(n + \frac{1}{2}\right)[/tex] a crest of this function. The corresponding sine wave would have a range of only [tex]1[/tex]. However, without any transformation, [tex]y = \sin(2\, \pi\, x)[/tex] would have a range of two.
Therefore, it would be necessary to compress [tex]y = \sin(2\, \pi\, x)[/tex] vertically by a factor of [tex]2[/tex], so that its range meets the needs.
[tex]y = \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x)[/tex] is the output of one such compression and has the correct period and range. However, its troughs would be at [tex]y = -\displaystyle \frac{1}{2}[/tex] (rather than [tex]y = 0[/tex]) whereas its crests are at [tex]\displaystyle y = \frac{1}{2}[/tex] (rather than [tex]y = 1[/tex].) It would be necessary to shift this function upwards by [tex]\displaystyle \frac{1}{2}[/tex] unit for the troughs and crests to meet match the ones in the requirements.
[tex]\begin{aligned} y &= \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2} \\ &= \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\left(\sin(2\, \pi\, x) - 1\right) + 1\end{aligned}[/tex].
Find the distance between the two points in simplest radical form.
(-9,8) and (-3,-1)
Answer:
[tex]d = 3\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, 8)
Point (-3, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-3+9)^2+(-1-8)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(6)^2+(-9)^2}[/tex]Evaluate: [tex]d = \sqrt{36+81}[/tex]Add: [tex]d = \sqrt{117}[/tex]Simplify: [tex]d = 3\sqrt{13}[/tex]And we have our final answer!
A square plastic tarp has sides that are 7 meters long. What is the tarps area?
Answer:
49 square meters
Step-by-step explanation:
The formula for finding the area of a surface is [tex]area=length*breadth[/tex] Since the tarp is square, all of its sides have the same lengthSo the length equals the breadthThat means the area is [tex]area=(7meters)*(7meters)=49meters^{2}[/tex]