Answer:
3.27272727273
Step-by-step explanation:
you simplify the fraction then you make 8 into 8/1 then you divide and if you want decimal its 3.27272727273
A bank charge a 10$ fee to open an account. Which are the following equation bet repreent the total amount in account,m, when tarting with d, in dollar
The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.
Although the question does not specify the options, but I have specified my answer as follows:
Given:
The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.
Account Opening Charges: $10
Starting amount: $d
The total amount in the account: $m
Let us say the depositor deposits an amount $k for 'i' number of months
Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.
I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.
The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time
⇒m=d-10+k×i
This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.
Therefore, the following equation is m=d-10+k×i.
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Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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If two dice are rolled, what is the probability that the sum of the faces is 4, given that the first die rolled is odd?
Answer:
when we roll two dice, the possibility of getting number 4 is (1, 3), (2, 2), and (3, 1).
Step-by-step explanation:
The probability of rolling two dice and getting a sum of 4 is 1/12. Let's find how likely we get a sum of 4 when we roll two dice simultaneously. So, when we roll two dice there are 6 × 6 = 36 possibilities. So....when we roll two dice, the possibility of getting number 4 is (1, 3), (2, 2), and (3, 1).
The probability that the sum of the faces is 4, given that the first die rolled is odd will be 1/18.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
If two dice are rolled. The sample for the two dice is given as,
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
The probability that the sum of the faces is 4, given that the first die rolled is odd is calculated as,
P = 2/36
P = 1/18
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sorry to be a bug again but please help with 8, 9, and 10 please!
8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.
9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.
10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.
How to obtain the percentages?From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:
10 + 11 + 14 + 15 + 22 + P = 100
72 + P = 100
P = 100 - 72
P = 28%.
Then the percentage for Pinocchio or Cars is of:
28 + 11 = 39%.
The percentage for Pinocchio or Toy Story is of:
28 + 22 = 50%.
(about half).
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solve the given equation: 2x+3y=13and 2x-3y=5
Step-by-step explanation:
2x+3y=13..........(I)
2x-3y=5.….........(II)
Subtract equation II from equation I
0+6y=8
6y=8
y=8/6=4/3
Substitute 4/3 for y in 2x-3y=5
2x-3×(4/3)=5
2x-4=5
Collect like terms
2x=4+5
2x=9
x=9/2
Therefore,y=4/3,x=9/2
What is the solution to this equation?
x- 13 = -4
O A. x= 9
O B. x = 17
O c. x= -17
O D. x= -9
Solve this
Will mark as brainliest
Step-by-step explanation:
11+11+9 equals 30 just do the math it simple
find the radius of convergence, r, of the series. [infinity] xn 4 4n! n = 0 r = find the interval, i, of convergence of the series. (enter your answer using interval notation.)
The interval of convergence, i, of the given series is (-∞, ∞).
The given series is
[infinity] xn 4 / 4n! n = 0.
Lets find the radius of convergence, r:
The general term of the given series is xn 4 / 4n!.
So, the ratio of two consecutive terms is given by;
|xn+1 4 / 4(n + 1)!| / |xn 4 / 4n!| = |xn+1| / |xn| * 1 / (n + 1) * 4 / 4 = |xn+1| / |xn| * 1 / (n + 1)
To find the radius of convergence, we take the limit of the above expression as n approaches infinity:
limn→∞ |xn+1| / |xn| * 1 / (n + 1) = LHere, L = limn→∞ |xn+1| / |xn| * 1 / (n + 1)
Because xn+1 and xn are two consecutive terms of the series;
0 ≤ L = limn→∞ |xn+1| / |xn| * 1 / (n + 1)≤ limn→∞ 4 / (n + 1) = 0
The above inequality implies L = 0.
Hence, the radius of convergence, r, is given by:r = 1 / L = ∞
The radius of convergence of the given series is ∞.
The given series is [infinity] xn 4 / 4n! n = 0.
We know that the radius of convergence of the series is ∞.
The interval of convergence, i, is given by;[-r, r] = [-∞, ∞]
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Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Answer:
Step-by-step explanation:
34+23F=175
23F=175-34=141
F=141/23≈6.13
so he buys more 7 bags
Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
\(23x = 141\)
\(x = \frac{141}{23}\)
\(x = 6.1\)
Rounding up, he needs to buy 7 bags.
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A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
for th below two machines and based on CC analysis which machine we should select? MARR =10% Answer the below question: A- the CC for machine A= QUESTION 8 For th below two machines and based on CC analysis which machine we should select? MARR =10% Answer the below question: B- the CC for machine B=
We need to compare the cash flows of machines A and B using the concept of Capital Cost (CC) analysis and a minimum acceptable rate of return (MARR) of 10%.
For machine A, the CC is not provided in the question. To determine the CC for machine A, we need additional information such as the initial investment cost and the expected cash inflows and outflows over the machine's useful life. Similarly, for machine B, the CC is not provided in the question.
We need additional information about the initial investment cost and the expected cash inflows and outflows over the machine's useful life to calculate the CC for machine B. Without the CC values, we cannot determine which machine to select based on CC analysis. To make a decision, we need more information.
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A 300 long wire is used to fence a rectangular plot whose length is twice its width find the length and breath
Answer:
Length = 100
Width = 50
Step-by-step explanation:
Given :
Length = 2 * width
If :
length = l
Width, w
l = 2w
Perimeter, P of rectangle :
P = 2(l + w)
P = 2(2w + w)
300 = 2(3w)
300 = 6w
w = 300/6
w = 50
l = 2w
l = 2(50)
l = 100
Greatest common factor of 4 and 19?
Answer:
The greatest common factor of 4 and 19 is 1
Step-by-step explanation:
Answer:
Greatest common factor of 4 and 19 is 1
0.000028 what is the scientific method
Answer:
2.8 x 10^-5
Step-by-step explanation:
What is the degree form for 3n/4 radians?
Answer:
\(135^\circ\)
Step-by-step explanation:
To convert radians to degrees, use the formula \(x^\circ=r\frac{180}{\pi}\) where \(r\) is the number of radians:
\(x^\circ=r\frac{180}{\pi}\)
\(x^\circ=(\frac{3\pi}{4})(\frac{180}{\pi})\)
\(x^\circ=\frac{540}{4}\)
\(x^\circ=135\)
Therefore, \(\frac{3\pi}{4}\) radians is \(135^\circ\)
translate the equation into a sentence
2(m - n) = x + 7
Two times the quantity of the difference m and n is equation to x more than 7
adam and ben each have a fair coin. adam throws it 101 times, and ben throws it 100 times. what is the probability that adam gets strictly more heads than ben?
There is a change of 1/2 for Adam to get strictly more heads than Ben.
What is meant by the term probability?Probability originally referred to potential. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1. Mathematics has employed probability to foresee the frequency of various events.The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)
If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.
Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.
Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.
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solve the equation: -x/9 = -8
Answer:
x=72
Step-by-step explanation:
-x/9=-72/9
-x=-72
x=72
the teacher has a small class with only 7 students. the teacher grades their homework and reports scores of: 10, 7, 8, 12, 9, 11, and 13. what is the median?
Answer:
10
Step-by-step explanation:
To find the median in a set of data, organize the data from least to greatest.
Here, our data is the homework scores, those being:
10, 7, 8, 12, 9, 11, 13
Let's organize them in ascending order, like so:
7, 8, 9, 10, 11, 12, 13
The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.
We can find that the number in the middle is 10.
Thus, the median of the scores is 10.
what is 148 cm to inches
Answer:
58.2677
Step-by-step explanation:
148 divide the length value by 2.54
Answer:
1 inch = 2.54 cm
148 / 2.54 = 58.2677165354 inches
Step-by-step explanation:
PLEASE HELP ME ANSWER THESE QUESTIONS will give BRAINLIEST
1. The numerator of a certain fraction is 3 more than the denominator. If 3/2 is added to the fraction, the result is 4. Find the fraction.
2. If 3/8 is added to five times the reciprocal of a number, the result is 1. Find the number.
3. One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than the first to go 372 miles. What are the speeds of the cars?
9514 1404 393
Answer:
5/2 8 65 mph, 62 mphStep-by-step explanation:
The first two problems can be solved in your head by working backward from the end result.
__
1. After 3/2 is added, the result is 4. Then we must be adding 3/2 to 4 -3/2 = 5/2. We notice that 5/2 already has the numerator 3 more than the denominator, so the fraction of interest is 5/2.
__
2. If 3/8 is added to a number giving a result of 1, the number must be 1 -3/8 = 5/8. That is 5 times 1/8. The number of interest is the reciprocal of 1/8, so is 8.
__
3. Let x represent the speed of the faster car. Then x-3 is the speed of the slower car, and the two times are ...
time = distance/speed
390/x = 372/(x-3)
390(x -3) = 372x . . . cross multiply
18x = 1170 . . . . . . . add 1170-372x
x = 65 . . . . . . . . . . divide by 18
The speeds of the cars are 65 mph and 62 mph.
circle theorem
This is a very easy question but i just can't seem to be able to answer it
The measure of <FCD is 77 degrees
Circle geometryFrom the given diagram, we have the following:
m<FCD + 90 + m<F = 180 degrees
Given the following parameters
m<BEO = 13 degrees = m<F
Substitute into the formula:
m<FCD + 90 +13 = 180 degrees
m<FCD = 180 - 103
m<FCD = 77 degrees
Hence the measure of <FCD is 77 degrees
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What is the equation of y = x 3 y=x3 with the given transformations? vertical compression by a factor of 1 7 17, horizontal shift 8 units to the left, reflection across the x-axis.
After the transformation of vertical compression , horizontal shift and reflection as mentioned the transformed equation is given by :
y = (-1/7)(x+ 8)³ .
As given in the question,
Given equation is :
y = x³
When the transformation is done as vertical compression with factor 1/7 it is equal to :
y = ( 1/7 )x³
Now Transformed by horizontal shift of 8 units to the left
y = ( 1 /7)( x + 8 )³
Reflection across the x -axis is given by :
y = - ( 1 /7)( x + 8 )³
Therefore, after the transformation of vertical compression , horizontal shift , and the reflection the required equation is :
y = ( 1 /7)( x + 8 )³.
The above question is incomplete, the complete question is :
What is the equation of y=x^3 with the given transformations?
Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis.
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Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*
Check out the screenshot.
Find the area of the shaded part of the figure.
Answer:
60.5 cm²
Step-by-step explanation:
You want the shaded area of a parallelogram that has a trapezoid shape removed from it.
Parallelogram areaThe area of the parallelogram is the product of its base and height:
A = bh
A = (10 cm)(8 cm) = 80 cm²
Trapezoid areaThe area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(5.5 cm +7.5 cm)(3 cm) = 1/2(13 cm)(3 cm) = 19.5 cm²
Shaded areaThe shaded area is the area of the parallelogram less the unshaded area of the trapezoid:
shaded = 80 cm² -19.5 cm² = 60.5 cm²
The shaded part of the figure has an area of 60.5 cm².
Let =[[1,2,],[3,2,1+],[2,2,2+c]] where , , and c are variables. =[[0,2+c,−],[3,+c,−1],[,3,−]] where , , and c are the same variables as in . What is the value of + ? Please store the value into a string FG_sum written with valid python code formatting (e.g. FG_sum = "[[1, 2, a], [3, 2, 1 + b], [2, 2, 2 + c]]"). (Note you are encouraged to do this by hand.)
The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:
A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]
B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]
Performing matrix addition on A and B, we add the corresponding elements:
A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],
[3 + 3, (2 + c) + c, -1 + (-1)],
[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]
Simplifying further, we get:A + B = [[1, 4 + c, -3],
[6, 2 + 2c, -2],
[2, 5 + c, 1 + c]
Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].
We can store this value in the string FG_sum using valid Python code formatting as follows:
FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"
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Select the range for the relation graphed. Is the relation a function? Then choose A, B, C, or D.
The relation is not a function.
The range for the relation graph is -2 ≤ y ≤ 2.
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
Domain = 1
Range = 3
We have,
Graph:
There are four coordinates points in the form (x, y) on the graph:
(3, 0), (-3, 0), (0, 2), and (0, -2).
Here,
A function can have different inputs for the same output.
Such as (3, 0 ) and (-3, 0).
A function can not have the same inputs for different outputs.
Such as (0, 2) and (0, -2).
Thus,
The relation is not a function.
-3, 3, and 0 are the domain.
-2, 0, and 2 are the range
The range in the graph is -2 ≤ y ≤ 2.
Thus,
The relation is not a function.
The range for the relation graph is -2 ≤ y ≤ 2.
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Hello, could anyone please help me with my homework?
My question is:-
(x+6)^6
Please solve A.S.A.P.
Kindly don't lose your precious time by spamming; instead, please provide a high-quality answer. Thanks in advance :-)
Answer:
\( (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656{x}^{} + 46656 \)
Step-by-step explanation:
we want to solve the following binomial:
\((x + 6 {)}^{6} \)
There is a handy way to expand powers of binomials which is known as binomial theorem . and it describes the algebraic expansion of powers of a binomial. binomial theorem is given by
\( \displaystyle (a + b {)}^{n} = \sum _{k = 0 }^{n} \binom{n}{k} {a}^{n - k} {b}^{k} \)
comparing (x+6)⁶ to (a+b)ⁿ , we get
\(a \implies \: x\)\(b\implies \: 6\)\(n\implies \: 6\)now substitute them on the formula which yields:
\( \displaystyle (x + 6 {)}^{6} = \sum _{k = 0 }^{n} \binom{6}{k} {x}^{6 - k} \cdot {6}^{k} \)
converting the summation notation into sum yields:
\( \displaystyle (x + 6 {)}^{6} = \binom{6}{0} {x}^{6 - 0} \cdot {6}^{0} + \binom{6}{1} {x}^{6 - 1} \cdot {6}^{1} + \binom{6}{2} {x}^{6 - 2} \cdot {6}^{2} + \binom{6}{3} {x}^{6 - 3} \cdot {6}^{3} + \binom{6}{4} {x}^{6 - 4} \cdot {6}^{4} + \binom{6}{5} {x}^{6 - 5} \cdot {6}^{5} + \binom{6}{6} {x}^{6 - 6} \cdot {6}^{6} \\ \implies(x + 6 {)}^{6} = \binom{6}{0} {x}^{6 } \cdot 1 + \binom{6}{1} {x}^{5} \cdot {6} + \binom{6}{2} {x}^{4} \cdot 36+ \binom{6}{3} {x}^{3} \cdot 216 + \binom{6}{4} {x}^{2} \cdot 1296+ \binom{6}{5} {x}^{} \cdot 7776+ \binom{6}{6} {x}^{0} \cdot 46656 \\ \implies(x + 6 {)}^{6} = 1 \cdot {x}^{6 } \cdot 1 + 6 \cdot{x}^{5} \cdot {6} + 15 \cdot {x}^{4} \cdot 36+ 20 \cdot {x}^{3} \cdot 216 + 15 \cdot{x}^{2} \cdot 1296+ 6 \cdot {x}^{} \cdot 7776+ 1 \cdot {x}^{0} \cdot 46656 \\ \implies \boxed{ (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656 {x}^{} + 46656 }\)
and we're done!
Cover the entire area except for today's date and year April, 1st, Monday
Answer:
It's friday for me so here u go
Step-by-step explanation:
kyle and his dad are leaving early in the morning for his soccer tournament. their house is 195 miles from the tournament. they plan to stop and eat after 1.5 hours of driving, then complete the rest of the trip. kyle's dad plans to drive at an average speed of 65 miles per hour. which equation can kyle use to find about how long, x, the second part of the trip will take? keep it up!
Kyle can use the equation x = (195 - 65 * 1.5) / 65 to find out approximately how long the second part of the trip will take. To find out the approximate duration of the second part of the trip, Kyle needs to calculate the remaining distance after the first stop and divide it by the average speed his dad plans to drive at.
The equation x = (195 - 65 * 1.5) / 65 represents this calculation.
In this equation, 195 represents the total distance of the trip, 65 represents the average speed in miles per hour, and 1.5 represents the time taken for the first part of the trip.
To calculate the remaining distance, we subtract the distance covered during the first part of the trip (65 * 1.5) from the total distance (195). The result is then divided by the average speed (65) to determine the time it will take for the second part of the trip.
By using this equation, Kyle can estimate how long the second part of the trip will take, given the total distance, the planned speed, and the time spent on the first part of the trip.
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