Answer:
√64 a⁶
or, √2⁶a⁶
or, √(2a)⁶
or, (2a)³
=8a³
An amount of $100 is invested at 9% compounded semi-annually. What is the balance after 6 years?
O $150.00
O $169.58
O $112.00
O $189.90
The balance (future value) after 6 years of investing $100 at 9% compounded semi-annually is B. $169.58.
What is the future value?The future value represents the present value or investment compounded at an interest rate for a period.
Compounding involves computing interest on accumulated interest, not only on the principal like simple interest.
The future value can be determined using an online finance calculator as follows:
N (# of periods) = 12 semi-annual periods (6 x 12)
I/Y (Interest per year) = 9%
PV (Present Value) = $100
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $169.58
Total Interest = $69.58
Thus, the investment is expected to be worth B. $169.58 in 6 years.
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1/5 x 10 multiply fractions: parts of a group
There are 52 cards in a deck with 13 cards of each of the four suits. Marlin draws one card, put its back and draws another one. What is the probability that she draws a hearts card and then a 6? Enter your answer as a fraction or a decimal rounded to the nearest hundredth.
Answer: 1/52
Step-by-step explanation:
There is a 13/52 chance of drawing a hearts card and then there is a 4/52 chance of drawing a 6
(13/52)(4/52)=1/52
There is a 1/52 chance of Marlin drawing a hearts card and then a 6
What is the value of log4^16
Answer:
Step-by-step explanation:
Using properties of logs:
= 16 log 4
= 9.63
find mGHJ in degrees inscribed angles
If the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
The measure of an inscribed angle in a circle is always equal to the measure of its intercepted arc. The measure of the arc intercepted by a central angle is determined by the formula, mGHJ = 360° - mJKH. Therefore, the measure of an inscribed angle in a circle with intercepted arc GHJ is equal to mGHJ = 360° - mJKH. This means that the measure of an inscribed angle in a circle can vary depending on the measure of its intercepted arc. For example, if the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
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Maggie is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1
3
of the sundaes are mint ice cream and
1
2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla? 1 unit = 10 sundaes help!!!!!!!!!!!!!!!!!!!!! Please
Its due BY TOMORROW!
There are how much total chocolate and vanilla sundaes.
Proportionately, the number of sundaes that will be vanilla is 10 sundaes.
What is proportion?Proportion refers to the part or portion of a whole.
Proportions show the relative size (ratio) of a value compared to another.
The difference between proportion and ratio is that proportions are two ratios equated to each other.
The total number of sundaes Maggie is making = 30
The types of sundaes = mint, chocolate, and vanilla ice cream.
Proportions:Mint ice cream = 1/3 = 10 sundaes (1/3 x 30)
The remaining sundaes = 2/3 (1 - 1/3)
= 20 (30 - 10) or (30 x 2/3)
Chocolate ice cream = 1/2 of 20 = 10 sundaes
Vanilla sundaes = 10 (30 - 10 - 10) or (1/2 of 20)
Thus, using the proportional or fractional relationships among the different sundaes, the number of vanilla sundaes that Maggie will make is 10.
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Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra
The correct students in their approach to solving the problem are Aditi, Erick, and Raj. Nico and Sandra's approaches are incorrect.
The following are the correct approaches to solving the equation:
Aditi: two-fifths (5 + x) = eight. five-hundredths (5) + five-hundredths x = (five-halves) 8
Erick: two-fifths (5 + x) equals eight. two-fifths (5 + x) minus 5 equals eight minus five.
Raj: two-fifths (5 + x) = eight. two-fifths (5) + two-fifths x = eight.
As a result, Aditi, Erick, and Raj are the correct students in their approach to solving the problem. The approaches of Nico and Sandra are incorrect.
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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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WHAT IS THE DOMAIN? PLEASE HELP
The domain of the given relation is:
D: {-3, -2, -1, 0, 1, 3}
What is the domain?For any relation that maps elements from one set into elements of another set, the domain is just the set of the inputs, and usually the domain is the se of the values "x"
Here the domain is the listof numbers in the left,the domain is:
D: {-3, -2, -1, 0, 1, 3}
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According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10°. The mass of a quarter is about 6 X 10-3 kg. Write the number of quarters and the mass of a quarter in standard form.
The number of quarters is 2 and mass of quarter is 0.006 Kg.
What is Scientific Notation?With scientific notation, one can express extremely big or extremely small values. If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.
Given:
The number of quarters minted in 2018 was about 2 x 10°
and, The mass of a quarter is about 6 X [tex]10^{-3[/tex] kg.
As, in standard form the decimal is place after one significant and the rest raised to 10 to the powers and if the number are in power then it can be written in form of decimal.
Here, number of quarters minted is already in standard form 2 x 10° or 2 x 1
and, mass of a quarter can be written as
= 6 X [tex]10^{-3[/tex] k
= 6/ 10³
= 6/ 1000
= 0.006
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Sonia takes a 45
-mile walk every day.
What part of her walk has she completed once she has walked 35
mile?
She has completed 3/4 of her walk, she has walked 3/5 miles.
We are given that Sonia takes 4/5 mile walk everyday.
What is a proportion?A proportion is a fraction of a total amount, the relations between variables, could be direct or inverse proportional, can be built to find the desired measures in the problem.
Consider 4/5 represent the 100 percent.
Using the proportion we can find which part of her walk she completed once she has walked 3/5 miles.
Find out what percentage represent 3/5
Let x be the percentage that represent 3/5
Then convert to fraction number
4/500 = 3/5x
x = 75
Therefore, the value of x in percentage is 75 percent.
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The complete question is
Sonia takes a 4/5 mile walk every day. What part of her walk has she completed once she has walked 3/5 miles
Combine like terms: 5x2 - 4x
The collection of the like terms of the equation 5x^2 - 4x + 9x^2 + 2x can be expressed as 14x^2 - 2x .
How can the factorization be performed?The concept here is collecting the like terms, Algebraic expressions can be made simpler by combining like terms. Combining similar phrases is another name for it. In order to accomplish this, we locate similar terms in an algebraic equation and combine them by either adding or subtracting.
To collect like terms, add up the quantities of the same thing. The sales of various sizes of the same article of clothing, such as a jumper, will be added up by a buyer.
5x^2 - 4x + 9x^2 + 2x
=5x^2 + 9x^2 - 4x + 2x
=14x^2 - 2x
Therefore, option C is correct.
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Which relationship represents an example of mutualism? A a lynx hunting a snowshoe hare B an owl and a snake feeding on rats C a tapeworm absorbing nutrition from the intestines of a host organism D an ant colony living on an acacia tree and not allowing vines to grow on the bark
The scenerio that represents an example of mutualism would be an ant colony living on an acacia tree and not allowing vines to grow on the bark. That is option D.
What is mutualism?Mutualism is defined as the feeding relationship where by the both organisms which are involved work together to benefit from each other.
A typical example of mutualism is the relationship that exists between the ant and the acacia tree.Here, the ant colony living on an acacia tree and not allowing vines to grow on the bark shows that both organisms benefits from each other.
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what three numbers can be multiplied to get 100000
Answer: 10*100*100
10 times 100 times 100 = 100,000
hope this helped =)
what is the probability that delay time is within one standard deviation of its mean value? (round your answer to four decimal places.)
The probability that a data point falls within one standard deviation of its mean value is 0.6827 or 68.27%.
The normal distribution is a continuous probability distribution that describes the distribution of a set of data around its mean. It is often represented by a bell-shaped curve, where the mean is located at the center and the standard deviation determines the width of the curve.
To find the probability that a data point falls within one standard deviation of the mean, we need to calculate the area under the normal distribution curve between the mean minus one standard deviation and the mean plus one standard deviation. This area represents the proportion of the data that falls within one standard deviation of the mean.
The probability of a data point falling within one standard deviation of the mean can be calculated using the following formula:
P(x - s < X < x + s) = 0.6827
Where P represents the probability, X represents the variable we are measuring, x represents the mean value, and s represents the standard deviation.
The value 0.6827 represents the proportion of the data that falls within one standard deviation of the mean in a normal distribution.
This means that if we have a data set with a mean value of 50 and a standard deviation of 5, then there is a 68.27% chance that a randomly chosen data point will fall between 45 and 55.
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1.
A worker uses 4 gray tiles for every 5 blue tiles that he uses.
If he uses 60 gray tiles, how many blue tiles does he use?
b. If he uses 540 tiles altogether, how many gray tiles does he use?
Answer:
240
Step-by-step explanation:
60/ 4=15
15×5=75
b) 4+5=9
540/9=60
4×60=240
Required Information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Show that if n is an integer and m+ 5 is odd, then n is even using a proof of contraposition. Rank the options below. We can write n = 2k +1 for some integer k. As n + 5 Is two times an integer, it is even. Assume that n is odd. Thus, if n is odd, then 3 + 5 is even. Then, 13 + 5 = (2K+993 +5=863 +1242 +66+6 = 2(4x3 +672 + 3k + 3).
If n is an integer and m + 5 is odd, then n must be even.
To prove this statement using contraposition, we need to show that if n is odd, then m + 5 must be even. Assume that n is odd, which means we can write n = 2k + 1 for some integer k.
Then, we can rewrite m + 5 as (2k + 1) + 5 = 2k + 6 = 2(k + 3), which is even.
Therefore, we have shown that if n is odd, then m + 5 is even.
By contraposition, we can conclude that if m + 5 is odd, then n must be even. Overall, the proof uses the fact that odd + odd = even and even + odd = odd, along with the definition of even and odd integers.
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The sum of the series
1+7+3+10+5+13+7+16+..... to 30 terms is :
Answer:
please type your questions well
For the data in the following sample: 10, 6, 8, 6, 5 find the mean
Answer:
7
Step-by-step explanation:
To find the mean of a set of numbers, we add up all the numbers and divide the sum by the total number of numbers.
For the given sample, we have:
10 + 6 + 8 + 6 + 5 = 35
There are 5 numbers in the sample, so we divide the sum by 5:
35 / 5 = 7
Therefore, the mean of the sample is 7.
4-Omertopen
CLIOCOMANIA.COM
what is a solution to a system?
what does a solution look like?
Determine if (10, 2) is a solution to the system
(x-2y = 8
(x + 2y = 14
The solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
What is an equation?A mathematical statement connecting two expressions by equal sign is called an equation.
Given is a system of equations, x-2y = 8 and x + 2y = 14, we are to find the solution and determine if (10, 2) is a solution to the system,
x-2y = 8
x+2y = 14
Adding both the equations,
2x = 22
x = 11
Put x = 11 in any equation to find the value of y,
11 - 2y = 8
2y = 3
y = 3/2
Now, to determine whether (10, 2) is a solution to the system or not, put x = 10 and y = 2 and see if the value is satisfying the equation or not,
10 - 4 = 6
6≠8
Therefore, (10, 2) is not a solution of the equations,
Hence, the solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
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The question is solved for :
Determine if (10, 2) is a solution to the system and what is a solution to a system?
x-2y = 8
x + 2y = 14
anthony goes to the library every 4th day, and giovani goes to the library every 6th day . when will they go on the same day? (from applepie's little brother)
Anthony and Giovani will both go to the library on the same day every 12th day.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out when both Anthony and Giovani will go to the library on the same day, we need to find the smallest number that is divisible by both 4 and 6.
We can start by listing the multiples of 4 and 6 until we find a common multiple:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
We see that 12 is the smallest common multiple of 4 and 6.
Therefore, Anthony and Giovani will both go to the library on the same day every 12th day.
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A rock is thrown upward with a velocity of 22
meters per second from the top of a 45
meter high cliff, and it misses the cliff on the way back down. When will the rock be 9
meters from ground level? Round your answer to two decimal places.
Gravity Formula
The rock will be 9 meters from ground level at a time of:
x = 5.76 seconds.
How to model the situation?The quadratic function that models a projectile's height is given as follows:
y = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 22, h(0) = 45.
Hence the height function is given as follows:
y = -4.9t² + 22t + 45.
The rock is 9 meters from ground level when:
9 = -4.9t² + 22t + 45.
-4.9t² + 22t + 36 = 0
4.9t² - 22t - 36 = 0.
Hence the discriminant is given as follows:
D = 22² - 4(4.9)(-36)
D = 1189.6.
The positive root, representing the time for the height of 9 meters, is given as follows:
x = (22 + sqrt(1189.6))/9.8
x = 5.76 seconds.
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When simplifying an expression like (x2yz4)5 , what should you do with the little 5 on the outside is the parentheses?
Question 3 options:
Distribute it to all variables by dividing their exponents
Distribute it to all variables by multiplying their exponents
Distribute it to all variables by adding their exponents
Distribute it to all variables by subtracting their exponents
Answer:
B
Step-by-step explanation:
Answer:
B: Distribute it to all variables by multiplying their exponents
Step-by-step explanation:
ASAV ANSWER PLAZ HELP
Answer:
man female women man women male female measurement measurement master mysteries milkman milkmaid monk non Mr Mrs nephew nice papa
A total of 3 ft falls over 3 days. On the first day, 1/6 of the total rain falls. On the second day, 7/12 of the total rain falls. How much rain falls each day in inches? Show your work. Please help.
Answer:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
Step-by-step explanation:
First, we need to convert the total rainfall from feet to inches. Since 1 foot is equal to 12 inches, 3 feet is equal to 36 inches.
On the first day, 1/6 of the total rainfall falls, so:
(1/6) * 36 = 6 inches
On the second day, 7/12 of the total rainfall falls, so:
(7/12) * 36 = 21 inches
To find the rainfall on the third day, we can subtract the rainfall on the first and second days from the total rainfall:
36 - 6 - 21 = 9 inches
Therefore, the amount of rainfall on each day, in inches, is:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
Find the measure of an
exterior angle of a regular
polygon with 36 sides.
[?]°
Enter
Answer:
The measure of an exterior angle of a regular polygon with n sides is given by the formula:
360°/n
For a regular polygon with 36 sides, the measure of each exterior angle is:
360°/36 = 10°
Therefore, the measure of an exterior angle of a regular polygon with 36 sides is 10°.
Step-by-step explanation:
Mr.Aba builds a circular patio with a diameter of 12 feet.He covers the patio with paving stones.The cost of the paving stones is $10.50 per square foot.To the nearest dollar,how much do the paving stones cost?
The total cost of the paving stones for building a circular patio with a diameter of 12 feet is C. $1,187.
How is the total cost determined?The area of the circular patio using its diameter and pi (22/7) is determined with the formula below.
The unit cost per square foot is multiplied by the area to determine the total cost.
A = π (d/2)^2
The diameter of a circular patio = 12 feet
The area, A = π (d/2)^2
= 22/7(12/2)^2
= 113.14 ft²
The cost per square foot of paving stones = $10.50
The total cost = $1,187.97 ($10.50 x 113.14)
= $1,188
Thus, using the mathematical operation of multiplication, we can conclude that Mr. Aba's project will cost Option C.
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Yall please help fast Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Hike Length of hike
(
km
)
(km)left parenthesis, start text, k, m, end text, right parenthesis Number of animals seen
Rivers Edge
3
33
8
88
Wooded Marsh
8
88
24
2424
Canyon Creek
15
1515
35
3535
Veronica tried to order the hikes from least to greatest by the number of animals seen per kilometer, but she made a mistake. Here's her work:
Choose 1 answer:
WILL GIVE ALL MY PONITS
Answer:
Veronica's attempt at ordering the hikes from least to greatest by the number of animals seen per kilometer is not correct.
To order the hikes by the number of animals seen per kilometer, we need to calculate the number of animals seen per kilometer for each hike. We can do this by dividing the number of animals seen by the length of the hike in kilometers.
Using this method, we can calculate the number of animals seen per kilometer for each hike as follows:
Rivers Edge: 8/3 = 2.67 animals/km
Wooded Marsh: 24/8 = 3 animals/km
Canyon Creek: 35/15 = 2.33 animals/km
Based on these calculations, the correct order of the hikes from least to greatest by the number of animals seen per kilometer is Rivers Edge, Canyon Creek, Wooded Marsh.
Veronica's mistake appears to be that she simply ordered the number of animals seen in each hike from least to greatest, rather than calculating the number of animals seen per kilometer.
A phone sells for $230. It is now on sale for 30% off. How much money will April save if she
buys the phone on sale?
A
B
C
D
$69
$25
$49
$68
Answer:
I believe the answer would be A- $69. I just do 230-30% and I got the answer of 69.
I hope this helped!
Answer:
Option 1. A
Step-by-step explanation:
= (30/100)*230
= (30*230)/100
= 6900/100 = 69.
Thus, your answer is, A.
( There is nothing else I could explain to you! )