Find the value of N: 1/N = 1/5 + 1/4 - 1/3 + 1/12
Answers
Answer:
1/ N = 1 / 5 + 1/ 4 - 1/ 3 + 1/12
taking L.C.M
Then,
or, 1/N = 5 + 6 / 20 - 13+ 4 / 12
or, 1/N = 11/ 20 - 7/12
or, 1/N = 14 - 12 / 60
or, 1/N = 2 / 60
NOW,
Do cross multiplication,
60 = 2N
or, 60 / 2 = N
so, N = 30
ANS
Related Questions
4 There are between 20 and 50 flags.
They can be shared equally among
2 tents or 4 tents or 5 tents.
How many flags are there?
Answers
When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.
How to illustrate the information?From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.
It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.
Therefore, the number of flags is 40.
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write an expression for the sequence of operations described below. triple s, subtract u from the result, then subtract t from what you have do not simplify any part of the expression.
Answers
The expression for the sequence of operations is 3s - u - t .
In the question ,
it is given that ,
the sequence of operation is given as " triple s, subtract u from the result, then subtract t from what you have" .
we have to write an expression for the above operation ,
So ,
first step is : triple s ,
that means the expression is 3s .
next subtract u from the result , that means ⇒ 3s - u .
next we have to subtract t from what we have ,
that means ⇒ 3s - u - t .
Therefore , the final expression is 3s - u - t .
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If Ricky borrowed $4600 at a rate of 16% interest per year compounded quarterly,
calculate the amount due at the end of 8 years if the interest is compounded
quarterly.
Answers
Answer: $16137.07
Step-by-step explanation:
A = p(1+r/n)^nt
A= 4600(1+0.16/4)^4x8
A= 16137.07
Graph slope =-3 y-intercept=4
Answers
Answer:
Step-by-step explanation:
slope intercept: y = mx + b
where m is the slope and b is the y-intercept
Equation: y = -3x + 4
Since y-intercept is given, then we have the first point of the line as (0,4)
Let's find the value of x when y is 0
y = -3x + 4
0 = -3x + 4
3x = 4
x = 4/3
(4/3,0) ---second point
Since there are two points/coordinates already then we can now plot/graph.
let z be a standard normal variable. find p(-0.86 < z < 2.25). a) 0.1980 b) 0.7898 c) 0.7929 d) 0.7884 e) 0.7742 f) none of the above.
Answers
Using the Z- Distribution table, The answer is c) that is 0.7929.
What do you mean by probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
What is Standard Normal Distribution?A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.
Following the Z-table,
P(-0.86<x<2.25) = 0.79288
The answer is c) 0.7929
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The subject of the formula below is y.
y = x-5
Rearrange the formula to make x the subject.
Answers
Answer: x=y+5
Step-by-step explanation:
Y=x-5
(+5)Y=X-5(+5)
y+5=x
A recipe requires 1 1/4 cups of milk for every 1 2/3 cups of flour. How many cups of milk are needed for each cup of flour?
Answers
Answer:
The amount of milk that will be needed for each cup of flour is:
\(\frac{3}{4}\text{ cups of milk}\)Explanation:
Given that;
A recipe requires 1 1/4 cups of milk for every 1 2/3 cups of flour.
\(1\frac{1}{4}\text{ cups of milk }\rightarrow1\frac{2}{3}\text{ cups of flour}\)we want to find the amount of milk that will be requires for each cup of flour.
we can get that by dividing both sides by 1 1/3;
\(\begin{gathered} \frac{1\frac{1}{4}\text{ }}{1\frac{2}{3}}\text{cups of milk }\rightarrow\frac{1\frac{2}{3}\text{ }}{1\frac{2}{3}}\text{cups of flour} \\ \frac{\frac{5}{4}\text{ }}{\frac{5}{3}}\text{cups of milk }\rightarrow1\text{ cups of flour} \\ \frac{5}{4}\text{ }\times\frac{3}{5}\text{cups of milk }\rightarrow1\text{ cups of flour} \\ \frac{3}{4}\text{ cups of milk }\rightarrow1\text{ cups of flour} \end{gathered}\)Therefore, the amount of milk that will be needed for each cup of flour is;
\(\frac{3}{4}\text{ cups of milk}\)Stel and Atana are deciding where to go next on Edena. Stel has made a map of the planet in which the planet's surface is divided into 56 equally sized squares. Each square is classified in one of four terrain types (plains, desert, seaside, forest) and one of three categories for its temperature (hot, temperate, cold). Atana decides to choose their destination randomly. Stel tells Atana there are 21 plains locations, 4 desert locations, 10 hot locations and 6 that are both plains and cold. Assume temperature and terrain are independent. Round all answers to three decimal places. Don't forget to calculate exact intermediate results, if any, before rounding the answer.
a. Can Atana calculate the probability of landing anywhere but a plains location?
b. Can Atana calculate the probability of landing in a location that is both desert and plains?
c. Can Atana calculate the probability of landing in a seaside or a hot location?
d. Can Atana calculate the probability of landing in a cold location?
f. Can Atana calculate the probability of landing in a temperate or seaside or forest location?
Answers
Answer:
A. 0.625
B. 0
C. No
D. No
E. No
Step-by-step explanation:
We have these locations with the total of 56 as given in the question
A. Probability of landing anywhere but plain:
= 1 - probability of plain
= 1- 21/56
= 1 - 0.375
= 0.625
B. Probability of landing in a location which both a desert and a plain is the probability of a hit temperature and plain terrain. These two are independent of each other = 0
C. He cannot calculate probability of landing here because this information is not available
D. He cannot also, no information
E. Same thing here. No information
Will mark brainiest for CORRECT answer!
Answers
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
O
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
Answers
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
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The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
A 1/3
B 1/2
C 2
D 3
will give brainliesttt
Answers
Explanation:
Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.
In the process, what is the total distance that Jeremy covers?
Answers
The total distance covered by Jeremy is 1320 m
What is a line segment ?
A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.
For sapling 1 = No distance is covered.
For sapling 2, distance covered = 10 m
Return distance=10 m
For sapling 3, distance covered =20 m
Return distance=20 m and so on
Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...
Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12
Total distance covered = 122 [2(0) + (12 − 1) 20 ]
Total distance covered = 6 (11)(20) = 1320 m
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Complete question:
There are 12 saplings to be planted in a straight line at an interval of 10 m between
two consecutive saplings. Jeremy can carry only one sapling at a time and he has to
come back to the original point to take the next sapling. He plants 12 saplings in this
manner, planting the first sapling at the original point. After planting all the saplings,
he comes back at the original point,
In the process, what is the total distance that Jeremy covers?
HELP! BRAINLY FOR THE FIRST ANSWER THAT'S CORRECT!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
y = -x, all the others are just junk numbers
Answer:
The answer is B
Step-by-step explanation:
In a function, x cannot repeat. therefore, b is the answer
A water sample shows 0.027 grams of some trace element for every cubic centimeter of water. Sadie uses a container in the shape of a right cylinder with a radius of 8.6 cm and a height of 11 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Sadie collected? Round your answer to the nearest tenth.
Answers
In order to determine the amount of the trace element, proceed as follow:
First calculate the volume of the cylindric container by using the following formula:
\(V=\pi r^2h\)where:
r: radius of the base of the cylinder = 8.6 cm
h: height = 11 cm
Replace the previous values into the formula for V and simplify:
\(\begin{gathered} V=\pi(8.6cm)^2(11cm) \\ V\approx2555.87cm^3 \end{gathered}\)Now, consider that there are 0.027 grams of the trace element in one cubic centimeter. Then, for the previous volume you have:
\(0.027\frac{g}{cm^3}\cdot2555.87cm^3\approx69g\)Hence, there area approximately 69 grams of the trace element into the cylindric container.
Use the vertical algorithm to find 60.19 – 47.52. Please see image below.
Answers
Explanation
Vertical subtraction is a method of subtracting where the numbers are lined up in columns according to their place values
Step 1
a lorry travels at a speed of 54km/he how far does it go in 1minutes?
Answers
Answer:
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Speed per hour = 54 km
We have to find Speed per minute
For that...
60 minutes ---- 54 km(cuz, 1 hr = 60 minutes
1 minute -----?
=54/60 km/minute
=9/10 km/minute
= 0.9 km/minute
SO THE LORRY WILL TRAVEL 0.9 KM IN A MINUTE
Five less than 3 times a number b is greater than the opposite of 8.

Answers
Answer:
6 9 4 .....digsigsigishs
Explanation:
Please Hurry! 60 POINTS!!! Will give brainiest!
What is the average rate of change of the function over the interval x = 0 to x = 8?
Answers
Answer:
\(\frac{13}{145}\)
Hello, I need help writing an explicit formula for nth term
Answers
The given arithmetic sequence:
-3, -10, -17, -24, .......
The common difference, d = -10 - (-3) = -10 + 3
d = -7
The first term, a = -3
Let the number of terms be n
The nth term of an arithmetic sequence is given as:
\(\begin{gathered} a_n=a+(n-1)d \\ \end{gathered}\)Substitute a = -3 and d = -7 into the equation
\(\begin{gathered} a_n=-3+(n-1)(-7) \\ \\ a_n=-3-7n+7 \\ \\ a_n=-3+7-7n \\ \\ a_n=4-7n \end{gathered}\)The explicit formula for the nth term is:
\(a_n=4-7n\)Simplify. Write your answer as a mixed number when possible.
9/36
Answers
Answer:
1/4
Step by step explanation:
Division only needs to take the ninth part of both which would be 9x4=36 and 9x1=9
Which of the following points is not coplanar with points C, D and E?
Answers
The point R is the point which is not coplanar with points C, D and E.
We need to find the point which is not coplanar with points C, D and E.
What are coplanar points?The points that lie on the same plane are called coplanar points.
In the given figure there are five planes which are as follows:
BCUD, BRAE, BRAC, BTDE, ACUDE
Now, points C,D and E lie in plane ACUDE.
In the plane ACUDE points A, C, U, D, E and S lies.
From the options point, R is not lining in the same plane as C, D and E lies.
Therefore, the point R is the point which is not coplanar with points C, D and E.
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A venue can sell 750 tickets per concert. For an upcoming concert, they have been selling 25 tickets a day. Write a linear function that presents the number of tickets remaining at a given time.
Answers
Answer:
y=25x+750
Step-by-step explanation:
You have 750 fifty per day which will be your b (y=mx+b) and you will make 25 tickets per person which will be your m.
7 1
92. _ _ _
+6,39 0. ————
6,5 32
Answers
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PLEASE HELP-
A corporate team-building event costs $20, plus an additional $1 per attendee. If there are
28 attendees, how much will the corporate team-building event cost?
Answers
Answer:
$48
Step-by-step explanation:
If there is $1 per attendee, then you already know that there is $28 right there. Then, add the base fee of $20 and you get $48.
For the following exercises, consider the function f(x) = (1+x)^1/x. Round all answers to five decimal places. Evaluate f(-0.01).
Answers
The value of f(-0.01) is approximately 0.99005.
To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).
Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.
The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.
By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.
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Carl has a ribbon that is 4/5 of a meter long. He wraps 2/5 of a meter of a meter of the ribbon around a package. He uses another 1/4 of a meter of the ribbon to tie a bow on a gift box. What is the length of the ribbon carl has left
A. 13/20 of a meter
B. 2/5 of a meter
C. 3/20 of a meter
D. 4/5 of a meter
Answers
Answer:
C. 3/20 of a meter
Step-by-step explanation:
Step 1: To find out how much ribbon Carl has left, we need to subtract the length of ribbon used from the total length of the ribbon.
Step 2: To add the lengths of the ribbon used, we need to find a common denominator for the fractions used. The least common multiple of 5 and 4 is 20, so we can convert both fractions to twentieths.
Step 3: 2/5 of a meter is equivalent to 8/20 of a meter, and 1/4 of a meter is equivalent to 5/20 of a meter.
Step 4: To add the lengths of ribbon used, we add the two fractions: 8/20 + 5/20 = 13/20.
Step 5: To find the length of ribbon Carl has left, we subtract the fraction of the ribbon used from the total length of the ribbon: 4/5 - 13/20 = 16/20 - 13/20 = 3/20.
Step 6: Therefore, Carl has 3/20 of a meter of ribbon left.
I need the answer:’)
Answers
Answer:
its D
Step-by-step explanation:
calculator
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answers
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Which choice is an equation of the line written in point-slope form?
1. y+1= 1/2 (x-1)
2. y-1=1/2 (X+1
3. y-1=2(X+1)
4. y+1=2(x-1)
Answers
Answer:
Option 3)............... I guess so