Answer:
Step-by-step explanation:
Common ratio = 20/4 = 100/20 = 500/100 = 5
first term = 4
so
aₙ = 4 * 5ⁿ⁻¹
What should be the index of x so that the value of x so that it's value will be equal to 1?
Don't spam okie
Answer:
In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.
For example:-
Divide 4 by 4.
Here,
[tex] \frac{4}{4} = 1[/tex]
Now let solve the above examples by using the laws of indices.
[tex] \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1[/tex]
Similarly,
[tex] \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1[/tex]
Thus,any base with zero index is equal to 1.
We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in 2³ , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e
[tex]{\boxed{\bf{\dfrac{a^m}{a^n}=a^{m-n}}}}[/tex]Let's put , m = n
[tex]{:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}[/tex]
[tex]{:\implies \quad \boxed{\bf{a^{0}=1}}}[/tex]
Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for [tex]{\bf{a\in (-\infty,0)\cup (0,\infty)}}[/tex]
Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .
Hence , the required index is 0
What is the perimeter of a square if it has an area of 10 sq. cm.
Answer: [tex]4\sqrt{10}[/tex] cm
Step-by-step explanation:
The area of the square is equal to the side length^2.
We can let s be the length of the side.
Therefore, s^2 = 10 cm^2
Square root both sides:
s = [tex]\sqrt{10}[/tex] cm
The perimeter of a square is 4 multiplied by the side length.
Therefore, the perimeter of the square is 4s = [tex]4\sqrt{10}[/tex] cm
I need help with a math problem
What percent of 300 is 120?
O A) 25%
O B) 250%
OC) 4%
OD) 40%
Answer:
D) 40%
Step-by-step explanation:
I just looked it up on a calculator.
5 books cost 21. what is cost of 7 of the same books? show working
Answer:
$29.40Explanation:
5 books cost $21. That means you have to divide 21 by 5 to find the price of one book, which is $4.20. Then you multiply 4.2 by 7 to find the price of 7 books. 7 x $4.20= $29.40
How many faces does the solid made from the net below have?
Determine if true:
3x8-63=-39
Answer:
True
Step-by-step explanation:
3x8=24
24-63=-39
39=39
Hence, the equation is true.
Answer:
The answer is true.
Step-by-step explanation:
3 x 8 = 24
24 - 63 = -39
Hope this helps. :)
find the sum of 6a - 5b + c, -2a +4b -2c
Answer:
4a-b-c
Step-by-step explanation:
we first look at the letters of each number. if there is only a letter, there is an imaginary 1 in front of it. we need to make sure that we add the numbers that have the exact same letters because they are known as like terms. we cannot add 6a and 4b because the letters are different and they are known as unlike terms. When we add numbers with the same letter ONLY the number changes
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
Answer: 6 hours and 25 min
Step-by-step explanation:
2. Factorisation of the algebraic expression 169x2 - 52xy + 4y2
Answer:
(13-2y)(13-2y)
Step-by-step explanation:
Algebraic identity of x^2-2ab+b^2
Sally can paint a room in 5 hours while it takes Steve 7 hours to paint the same room. How long will it take them to paint the room if they work together?
(Type an integer or decimal rounded to one decimal place as needed)
=====================================================
Explanation:
Let's say the room has walls and ceiling of 350 sq ft in total area.
Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.
Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.
Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.
Divide the total area over this combined unit rate
350/120 = 2.91667 approximately
This rounds to 2.9
--------------
Alternatively, you can solve the equation
[tex]\frac{1}{5} + \frac{1}{7} = \frac{1}{x}[/tex]
And you should get roughly x = 2.9
hello help me with this question thanks in advance
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Here , We have to create a real life problem which is based on the similar traingle.
Before creating a real life problem . It is important that you should know the basics of the theorem related to similar triangle .Triangles are similar when their corresponding angles are equal and corresponding sides are in proportion.There are three conditions that proves the given triangles are similar :-
If the corresponding angles of the both the triangles are equal . Then the two triangles are similar to each other known as AA or AAA criterionIf the two sides and one angle of both the triangle are equal to each other . Then the two triangles are similar to each other known as SAS criterion If all the three sides of both the triangle are equal or having same ratios then both the triangle are similar to each other known as SSS criterion. Let's Come to the real life problemSuppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .
Solution :-Let consider both the apple trees as tree 1 and tree 2
Given :-The height of the tree 1 is 20 m and height of the tree 2 is 40 mThe shadow casted by both the trees, Tree 1 = 12 m and tree 2 = 24 mThe distance between the height and shadow of both the trees, Tree 1 = 30 m and Tree 2 = 60 mBy using similarity theorem
It states that two triangles are similar when the corresponding sides of both the triangles are in proportion or the corresponding angles of both the triangles are equalThat is,
[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]
[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]
From above we can conclude that,
Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.
The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.
How to Solve Similarity Theorem?Let consider both the Orange trees as tree 1 and tree 2
If we have:-
Height of the tree 1 = 20 m
Height of the tree 2 = 40 m
The shadow casted by Tree 1 = 12 m
The shadow casted by tree 2 = 24 m
The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m
By using triangle similarity theorem, we have;
20/40 = 12/24 = 30/60 = 1/2
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The probability that Sue will go to Mexico in the winter and France in the summer is 4/10. The probability that
she will go to Mexio in the winter is 6/10. Find the probability that she will go to France this summer, given that
she just returned from her winter vacation in Mexico.
Answer:
40%
Step-by-step explanation:
4 / 10 = 40%
It took a car 4 days to travel 3827 miles. What was this car's average speed, in miles per hour?
Answer:
39.864
Step-by-step explanation:
24*4=96
1827/96
=39.864
There was a carton of 27 bottles of water at the beginning of a sports meet. The carton, with 27 bottles of water in it, weighed 11.53 kg. After the sports meet had ended, there were 24 bottles of water left in the carton. The carton then weighed 10.33 kg. What would be the mass of the carton in grams if it were to be empty?
Answer:
is the ans 0.73
Step-by-step explanation:
is the ans 0.73 gram and time xa ra
The mass of the carton in grams if it were to be empty is 530 g
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the weight of one bottle of water.
We have to subtract the weight of the carton with 27 bottles from the weight of the carton with 24 bottles
11.53 kg - 10.33 kg = 1.20 kg
So, the weight of 3 bottles of water is 1.20 kg.
Divide 1.2 by 3 to find the weight of one bottle of water
1.20 kg / 3 = 0.4 kg
Now the weight of the empty carton
Subtract the weight of 27 bottles from the weight of the carton with 27 bottles:
11.53 kg - 27(0.4 kg) = 0.53 kg
Convert the weight of the empty carton from kilograms to grams:
0.53 kg × 1000 g/kg = 530 g
Therefore, the mass of the carton in grams if it were to be empty is 530 g
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Solve each expression by factoring. Match the solutions to the correct expressions.
20x^2 + 48x + 16 = 0
2x^2 - 5x -1 = -4
Answer:
Step-by-step explanation:
A stamp cost 25 kobo, how many Stamp can a man buy with 2.85 Naira
Answer:
11 stamps approximately
Step-by-step explanation:
convert 25 Kobo to naira
which is 25/100 = 0.25 naira
therefore, a stamp will cost 0.25 naira.
number of stamps the man can buy with 2.85 naira will be 2.85/0.25 =11.4 stamp
which is 11 stamps (approximately)
What is the measure of Zr?
Angles are not necessarily drawn to scale.
B
156°
4
C
0
Answer:
24°
Step-by-step explanation:
Two angles that form a linear pair are supplementary. That is, their total is 180°.
x° +156° = 180°
x° = 180° -156° = 24°
Over a 14-day period, Jamal went to the store 4 times. Based on this
information, which statement best describes how many times Jamal will go
to the store in a 5-week period?
Answer:
He will go to the store 10 times in a 5-week period.
Step-by-step explanation:
We can assume that in one week, Jamal went to the store 2 times, considering he went to the store 4 times in 2 weeks. Next, we can assume that he will go to the store 10 times in 5 weeks, since 2×5=10.
MATH QUESTION ASAP!!!!! SCREEN SHOT DOWN BELOW
Answer:
Option 1 looks most suitable
Step-by-step explanation:
Check image below:
Brainliest please
A car travels 9 miles in 7 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?
The car travels mi/hr.
The car travels m / s.
Answer:
he's going 77mph and then 2069 meters per hour.
An elevator at a construction site has a maximum capacity of 2760 pounds. If the elevator operator weighs pounds and each cement bag weighs240 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Answer:
11.5
Step-by-step explanation:
divide 2760 by 240
2760/240=11.5
CAN ANYBODY PLEASE HELP ME FOR BRAINLIEST, I'VE BEEN ASKING FOR DAYS AND POSTING DAILY THE SAME QUESTION :(
There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.3% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.
Answer: [tex]y = 650(0.907)^t[/tex]
This is the same as writing y = 650(0.907)^t
=====================================================
Explanation:
Exponential equations can be of the form y = a*b^t
a = initial amountb = growth or decay factorIn this case, we have
a = 650 mg to start withb = 1 - 0.093 = 0.907 as the decay factorIf we had exponential growth, then we'd compute 1 + 0.093 instead.
Based on those values, we go from y = a*b^t to y = 650(0.907)^t which is the same as writing [tex]y = 650(0.907)^t[/tex]
Other exponential forms are possible, but I think this form is the most intuitive. The 0.907 means that 90.7% of the sample remains after each year.
What is the value of 2 in 304.72 in decimal form?
Answer: 0.02
Step-by-step explanation: hundreds is 0.0 and its 2 so it would be 0.02
Using place value chart value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).
What is place value?
" Place value is defined as the value represented by each digit of a number on the basis of its position on a number."
According to the question,
Given number ,
[tex]304.72[/tex]
Place value of all digits in [tex]304.72[/tex]
Place value of [tex]4 = ones[/tex]
Place value of [tex]0 = tens[/tex]
Place value of [tex]3= hundreds[/tex]
Place value of [tex]7= tenth[/tex]
Place value of [tex]2 = hundredth[/tex]
[tex]= \frac{2}{100}[/tex]
[tex]=0.02[/tex] (decimal form)
Hence, value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).
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how many ways can i choose 5 goldfish from 28
Answer:
5 3/5 or 5
Step-by-step explanation:
Because it is
what is the product of -4 and 8.1?
a.-32.4
b.-12.1
c.12.1
d.32.4
Answer:
a - 32.4
Step-by-step explanation:
-4 * 8.1 = -32.4
First, multiply .1 by -4 and you get -.4
Then multiply 8 by -4 and get -32
Combining these,
-32 -.4 = -32.4
Answer:
a. -32.4
Step-by-step explanation:
Will give crown to the answer!
Answer:Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:$1948.72 - $1700 = $248.72:For partb
Step-by-step explanation:
Using an old post still need help
Answer:
12x+20
Step-by-step explanation:
2(5x+2)+2(x+8)
or (simplified)
10x+4+2x+16=12x+20
Answer:
12x+20
Step-by-step explanation:
5x+2+x+8+5x+2+x+8
12x+20
What fractions are less than 5/6
Answer:
4/6 and lower.
Step-by-step explanation:
Step-by-step explanation: The fraction with numerator as 16/3 and denominator 8 becomes 2/3 which is less than 5/6.
This data set represents the widths in yards of pieces of fabric used by a sewing group. What is the mean of this data set? {1 1/3, 1/4, 2/3, 1/2, 1 1/4} Enter your answer as a fraction in simplest form in the box.
hurry
The mean of a dataset is the average or the expected value of the dataset
The mean of the dataset is 4/5
How to determine the meanThe dataset is given as: {1 1/3, 1/4, 2/3, 1/2, 1 1/4}
The mean of a dataset is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{1 \frac 13+ \frac 14+ \frac 23+ \frac 12+ 1 \frac 14}{5}[/tex]
This gives
[tex]\bar x = \frac{4}{5}[/tex]
Hence, the mean of the dataset is 4/5
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Answer:
I think its 4/5