Answer:
The simplest form of the complex fraction \(\frac{\frac{8}{9}}{8}\) is \(\frac{1}{9}\)
Step-by-step explanation:
In the complex fractions \(\frac{\frac{a}{b}}{c}\) = \(\frac{a}{b}\) ÷ c
To simplify it change ÷ to × and reciprocal c
\(\frac{\frac{a}{b}}{c}\) = \(\frac{a}{b}\) ÷ c = \(\frac{a}{b}\) × \(\frac{1}{c}\) = \(\frac{a}{bc}\)In the complex fractions \(\frac{a}{\frac{b}{c}}\) = a ÷ \(\frac{b}{c}\)
To simplify it change ÷ to × and reciprocal \(\frac{b}{c}\)
\(\frac{a}{\frac{b}{c}}\) = a ÷ \(\frac{b}{c}\) = a × \(\frac{c}{b}\) = \(\frac{ac}{b}\)Let us solve the question
∵ The complex fraction is \(\frac{\frac{8}{9}}{8}\)
∵ \(\frac{\frac{8}{9}}{8}\) = \(\frac{8}{9}\) ÷ 8
→ Change ÷ to × and reciprocal 8
∴ \(\frac{8}{9}\) ÷ 8 = \(\frac{8}{9}\) × \(\frac{1}{8}\)
→ Cancel 8 up with 8 down
∴ \(\frac{8}{9}\) × \(\frac{1}{8}\) = \(\frac{1}{9}\)
∴ The simplest form of the complex fraction \(\frac{\frac{8}{9}}{8}\) is \(\frac{1}{9}\)
Answer:
1
Step-by-step explanation:
In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.
Evan Scores 22 points per coin. After collecting a total of 2 coins, how many points will Evan have scored in all?
Answer:
44
Step-by-step explanation:
if f(x)=3x-3 and g(x)=-x2+4,then f(2)-g(-2)=
Answer:
3
Step-by-step explanation:
f(x)=3x-3
g(x)=-x^2+4,
f(2) = 3(2) -3 = 6-3 =3
g(-2) = -(-2)^2+4 = -4+4 = 0
f(2)-g(-2)= = 3-0 = 3
PLEASE HELP‼️
A X = 4
B X = 10
C X = 3
D X = 9
Explain the difference between an indefinite integral and a definite integral.
A) An indefinite integral, after evaluating it at the limits of integration, results in a particular number. A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
B) A definite integral, after evaluating it at the limits of integration, results in a particular number. An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
C) An indefinte integral cannot always be integrated analytically and may require numeric integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration.
D) A definite integral is defined and continuous over the interval of integration and has finite limits of integration. An indefinite integral is also defined and continuous over the interval of integration, but may have as a limit of integration.
The answer is A.
An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).
A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫
a
b
f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.
In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.
this specific math problem is very tricky and difficult to solve step by step; i need help with this one, big time.
-1+5/5x4
Answer:
-1+5=4
5×4=20
4/20=0.2
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
Learn more about the average at https://brainly.com/question/130657.
#SPJ1
If your boss offers a health plan that cost $22.000.00 per year, if your boss pays 80% of the plan. What would your percent be? What would it cost you for the year, how much would come out of your check monthly?
Answer:
You have to pay 20%, it would cost you $4,400 for the year, and each month $367 would come out of your check.
Step-by-step explanation :
If your boss pays 80% of a $22,000 health plan per year you would have to pay 20% of that health plan.
To find out what you need to pay for this year, you must find 20% of 22,000.
0.20 * 22,000 = 4,400
You would have to pay $4,400 for this year.
To check this, we can divide 22,000 by 5 since 20% is 1/5.
22,000 divided by 5 = 4,400
If you wanted to find how much would come out of your check monthly, well, since you have to pay $4,400 this year and there are 12 months in a year you can divide by 12.
4,400 divided by 12 = 366 \(\frac{2}{3}\)
So you would basically have to pay $367 every month.
Find the distance between A (-2, 4) and B (-6, -7). Leave your answer in exact (radical) form
Answer:
The answer is
\(\sqrt{137} \: \: \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (-2, 4) and B (-6, -7).
The distance between them is
\(d = \sqrt{ ({ - 2 + 6})^{2} + ({4 + 7})^{2} } \\ = \sqrt{ {4}^{2} + {11}^{2} } \\ = \sqrt{16 + 121} \\ = \sqrt{137} \: \: \: \: \: \: \: \: \: \: \)
We have the final answer as
\( \sqrt{137} \: \: \: \: units\)
Hope this helps you
In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
Mayzie's Masks has a monthly demand of 250 masks. It costs $100 to place an order
and the holding cost is 20% of the cost of a mask, which is $30. What is the total
cost?
Answer:
$951
Step-by-step explanation:
EOQ = Sqroot{(2*Annual Demand*Ordering cost)/Holding cost}
= Sqroot{(2*250*12*100)/(0.2*30)}
= 317 Units Approximately
Total Holding cost = Average Inventory * Holding cost per unit
= (EOQ/2)*Holding cost per unit
= (317/2)*(0.2*30)
= $951
So by knowing the holding cost and the percentage that it represents, we want to find the total cost of the masks. We will find that the cost is $150.
We know that the holding cost is 20% of the cost of a single mask, so if the cost of a mask is C, the holding cost is:
(20%/100%)*C = 0.2*C
And we know that this is equal to $30, so we get:
0.2*C = $30
Now we can solve this for C, the total cost of a mask:
C = $30/0.2 = $150.
If you want to learn more, you can read:
https://brainly.com/question/14094934
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
For more such questions on rank
https://brainly.com/question/28839672
#SPJ8
Please help out , thank you
Answer:
4
Step-by-step explanation:
According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).
If A={g,y,m,n,a,s,t,i,c} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Simplify Simplify 1 ∙ x - x/1
A. x
B. 1
C. 0
Answer:
0
Step-by-step explanation:
when the term has a coefficient of, it does not have to be written.
x- X/1
The sum of two opposites equals o
So the solution would be o
HELP ASAP, FIRST ANSWER GETS BRAINLIEST,
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.
K′(−4, −4)
K′(−4, −5)
K′(−4, 6)
K′(−4, −8)
The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)
How to determine the image of the coordinates KBased on the given question, we have certain variables that can be utilized for our calculations.
K = (-4, -6)
First, find the equation of the reflection line
The reflection line is y = -7.
This can be expressed as
y = a = -7
The image of the reflection is then calculated as
K' = (x, -(y + 2|a|))
Replace the given or established values in the equation mentioned earlier, resulting in the following expression
K' = (-4, -(-6 + 2 * 7))
Evaluate
K' = (-4, -8)
Hence, the image coordinates of K′ are (-4, -8).
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.
a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.
b. The total monthly contribution to the fund is $180.
The computation of FV in Excel is shown in the attachment below:
What is meant by growth rate?Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.
GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.
20 years is the age.
20 times 12 periods equals 240.
3% growth rate
The computation of FV in Excel is shown in the attachment below:
So, FV= $7,223,115.77
To know more about growth rate, visit:
https://brainly.com/question/11743945
#SPJ1
You pick a card at random. Without putting the first card back, you pick a second card at random. 6 7 8 9 What is the probability of picking a prime number and then picking a prime number? Simplify your answer and write it as a fraction or whole number.
The probability of picking a prime number and then picking a prime number is 1/6.
How to determine probability?The probability of picking a prime number and then picking a prime number is 0.
There are two prime numbers in the set: 7 and 9. The probability of picking a prime number on the first draw is 2/4 = 1/2.
The probability of picking a prime number on the second draw, without putting the first card back, is 1/3.
The probability of both events happening is 1/2 × 1/3 = 1/6.
Therefore, the answer is 1/6.
Find out more on probability here: https://brainly.com/question/25870256
#SPJ1
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
What is twenty% of 1000
Answer:
200
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
Google told me that 20% of 1000 is 200
Someone answer please this question has now been pondering my mind for 10 minutes already
If one day is 20 minutes how many days would there be in 10 years?
Answer: 3,650 days
Step-by-step explanation:
In the Gregorian Calendar, a common year has 365 days. We are going to assume that a common year always has 365 days for the purposes of this problem.
If one day is 20 minutes, then let us multiply that by 365 days, giving us 7,300 minutes in 1 year. Let us then multiply 7,300 minutes by 10 years. That gives us 73,000 minutes. We know that (based on this problem) there are 20 minutes in 1 day, so we divide 73,000 minutes by 20 minutes. The final answer is 3,650 days.
Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that
passes through (4, -5).
A. y+5= 3/2(x-4)
B. y-5= -2/3 (x+4)
C. y+5= -2/3(x-4)
D. y-4= 2/3(x+5)
help please 15points!!
Answer:
\(y +5 = -\frac{2}{3}(x - 4)\)
Step-by-step explanation:
Given
\(y = -\frac{2}{3}x + 8\)
Point (4,-5)
Required
Determine the line equation
From the question, we understand that the line is parallel to \(y = -\frac{2}{3}x + 8\)
This implies that they have the same slope, m
A linear equation is:
\(y = mx + b\)
Where
\(m = slope\)
By comparison: \(y = mx + b\) and \(y = -\frac{2}{3}x + 8\)
\(m = -\frac{2}{3}\)
Next, we determine the line equation using:
\(y - y_1 = m(x - x_1)\)
Where
\((x_1,y_1) = (4,-5)\) and \(m = -\frac{2}{3}\)
\(y - (-5) = -\frac{2}{3}(x - 4)\)
\(y +5 = -\frac{2}{3}(x - 4)\)
Hence,
Option C is correct
Jam World Amusement Park sells special multi-day passes for guests who want to visit the park for more than one day. Their most popular passes are the 3-day pass, which costs $207, and the 7-day pass, which costs $364. How much more does the 3-day pass cost per day than the 7-day pass?
Answer:
17 dollars more
Step-by-step explanation:
1493600÷8 i need full steps
When 1,493,600 is divided by 8 the quotient is 186,700.
To divide 1,493,600 by 8, you can follow these steps:
We have to write down the dividend (1,493,600) and the divisor (8).
Now start with the largest place value in the dividend (the leftmost digit) and perform the division.
Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.
Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.
Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.
Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.
Divide 9 by 8. The quotient is 1, and the remainder is 1.
Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.
Divide 13 by 8. The quotient is 1, and the remainder is 5.
Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.
Divide 56 by 8. The quotient is 7, and there is no remainder.
Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.
Divide 70 by 8. The quotient is 8, and there is no remainder.
There are no more digits to bring down, and the division is complete.
The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.
Therefore, the result of 1,493,600 ÷ 8 is 186,700.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
To solve more problems based on the linear equations:
https://brainly.com/question/9753782
An apple falls from a tall branch. Its height in feet x seconds after it falls is given by 40 – 16x2.
After how many seconds will the apple hit the ground?
1.58 seconds
5.8 seconds
3.8 seconds
.98 seconds
Answer:
im not sure to be honest
Step-by-step explanation:
Which inequality can be used to find how many $0.35 pencils can be purchased for $5.00?
Answer:14
Step-by-step explanation:0.35 times 14 equals 4.9
2 mechanics worked on a car. the 1st mechanic charged $75 per hour, and the 2nd charged $95. They worked a combined 20 hours and charged a total of $1800. How many hours did each mechanic work?
Answer:
1. set up the equations:
a. total cost: 75x + 95y = 1800
b. total hours: x + y = 20
2. use substitution:
a. x + y = 20 → x = 20 - y
3. plug in value of x:
a. 75(20 - y) + 95y = 1800
4. distribute (75).
1500 - 75y + 95y = 1800
5. combine like terms:
20y = 300
6. divide:
y = 15
7. plug in y to other equation to get x:
x + 15 = 20
8. solve:
x = 5
1st mechanic (x) worked 5 hours
2nd mechanic (y) worked 15 hours
hope this helps :)
Answer:
The first mechanic worked 5 hours and the second worked 15
Step-by-step explanation:
Let h = hours for first mechanic
j = hours for second mechanic
h+j = 20
75h + 95 j = 1800
Multiply the first equation by -75
-75(h+j = 20)
-75h -75j = -1500
Add this to the second equation to eliminate h
75h + 95 j = 1800
-75h -75j = -1500
----------------------------
0 + 20j = 300
Divide by 20
20j/20 = 300/20
j = 15
Now gind h
h+j = 20
h +15 = 20
h = 5
What is the inverse of fx) =
-x+ 2?
O h(x) =
) = 4x+2
O h(x) = = -x-2
3
O h(x) = 3x - 2
h(x) = 3x - 6
Note: Your statement and answer options are a little ambiguous, so I am assuming you want to determine the inverse of f(x)=-x+2.
As the process is the same, so it would still clear your concept.
Answer:
\(\mathrm{Inverse\:of}\:-x+2:\:\:2-x\)
Step-by-step explanation:
Given the function
\(f(x)=-x+2\)
We know that a function h is the inverse function of f if for y=f(x), x=h(y)Determining the inverse
\(y=-x+2\)
Replace x with y
\(x=-y+2\)
solve for y
\(y=2-x\)
Therefore,
\(\mathrm{Inverse\:of}\:-x+2:\:\:2-x\)
(93) 6 =
What is the answer ?
Answer:
558
Step-by-step explanation:
(93) 6 =?
Bracket is treated as of or multiplication
(93)*6 = 558