We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
We are given a function:
V = K x / k n + x
where K and k n are constants.
We need to find its derivative with respect to x
Derivative refers the rate of change of a function with respect to a variable.
Now differentiating with respect to x , we get that:
d V / d x = k / k n ( 1 ) + ( 1 )
d v / d x = k / k n + 1
Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
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A triangular plot of land has one side along a straight road measuring 294 feet. a second side makes a 63degrees angle with the road, and the third side makes a 56degrees angle with the road. how long are the other two sides?
Answer:
Divide it to 2 triangles and use cos role
A decimal number has 2 digits to the right of it's decimal point. If we round it to the nearest tenth, the result is 18.6. What is the maximum possible value of this decimal ?
This number can have a maximum value of 18.64.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Non-recurring (non-repeating or terminating, for example), recurring (repeating or non-terminating, for example), and decimal fractions are the three types of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, when rounded to the nearest tenths, the number is 18.59.
Now, look at the number to the right of it.If that number is 5 or higher, we round the 5 to a 6.But if that number is 4 or lower, the number remains a 5.18.55 rounded to the nearest tenths equals 18.6 (because the number to the right of 5 is 5, we round up to 18.6)18.54 rounded to tenths = 18.5 (because the number to the right of the 5 is 4, so we round it to 18.5).Therefore, this number can have a maximum value of 18.64.
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pls help with math. :(
Answer:
I would say 9 miles
Step-by-step explanation:
He would have to be HAULING it to run 6 miles in 8 minutes lol.
But, I think it's 9 miles
Answer:
Tom will run 9 miles in 12 minutes.
Step-by-step explanation:
Write the following numbers
In order from least to greatest
[(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
As per question statement, we are provided with 5 random numbers:
[(3/4), -(√5), -3, 2.5 and 0].
We are required to rearrange the above mentioned numbers in their ascending order.
We know from basic mathematical knowledge that, any number of integer or fraction with a negative sign is less than Zero or any other positive number.
Here, we have two negative quantities [-(√5) and (-3)]. Since [tex]4 < 5 < 9\\or, \sqrt{4} < \sqrt{5} < \sqrt{9} \\or,2 < \sqrt{5} < 3\\or,(-2) > [-(\sqrt{5})] > (-3)\\or,(-3) < [-(\sqrt{5})] < (-2)[/tex]
That is, we have established our required relation between the negative numbers.
We also know that, zero is the midpoint of the number line and any other positive number is greater than zero while any negative number is less than zero. Hence, [tex][(-3) < -(\sqrt{5}) < 0][/tex] and [tex](0 < \frac{3}{4}),(0 < 2.5)[/tex].
Now, between (3/4) and 2.5, since (3/4) is a proper fraction, it means that (3/4) is less than 1, and since (1 < 2.5), therefore, [tex](\frac{3}{4} < 2.5)[/tex].
Hence, [(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].
Ascending Order: In mathematics and also in any field of daily life, arranging a set of values starting with the least one, then the second least, then the third least and so on till the greatest value is known as an Ascending Order.To learn more about Ascending Order, click on the link below.
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A spinner with 6 equally sized slices has 2 blue slices, 1 red slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice?
Write your answer as a fraction in simplest form.
Answer:
3/6
Step-by-step explanation:
i think
Joyce's dad packs her lunch and always packs a yogurt. Joyce knows there are five yogurts in the refrigerator: one raspberry, two strawberry, one blueberry, and one vanilla. Her dad usually reaches into the refrigerator and randomly grabs a yogurt. which flavor is she most likely to have in her lunch today?
She is most likely to get strawberry in her lunch today.
This problem can be understood if we know the concept of probability.
In probability we just have to calculate what are the chances of any favorable outcome to occur by dividing with the total number of outcomes.
Here, Joyce's dad packs her lunch with one Yoghurt everyday.
And there are 5 yoghurts in the refrigerator.
The probability of getting raspberry flavor = 1/5
The probability of getting a strawberry flavor is = 2/5
The probability of getting a blueberry flavor is = 1/5
The probability of getting vanilla flavor is = 1/5
So, the highest probability is of getting strawberry flavor.
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HELP URGENT how many minutes does it take for omar to print the pages on tuesday?
An equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
We have been given Omar uses a laser printer that prints 30 pages per minute.
So, the rate of printing = 30 pages/ minute
On Monday, he prints 8 pages.
Omar prints a total of 143 pages on Monday and Tuesday.
So, the number of pages printed on Tuesday are:
143 - 8 = 135
So On Tuesday, Omar prints 135 pages.
let m be the amount of time, in minutes, he spends printing on Tuesday.
We need to find an equation to model the amount of time Omar spends printing on Tuesday.
number of pages printed = (rate of printing) × (amount of time, in minutes)
Using this formula for given example, we get an equation,
135 = 30 × m
Therefore, an equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
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Your question was incomplete. Please refer the content below
Omar uses a laser printer that prints 30 pages per minute. on Monday, he prints 8 pages. on Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. let m be the amount of time, in minutes, he spends printing on Tuesday. part a create an equation using m to model the amount of time Omar spends printing on Tuesday.
A bathtub is filled with 38 1/2 gallons of water. If 2 3/5 gallens splash out, how much water is left in the tub
Answer: 35.9
Step-by-step explanation:
Answer:
The answer would be 35 9/10 gallons of water left.
The equation of the line that goes through the point (2,2) and is parallel to the line going through the points (-1,6) and (1,5) can be written in the form y=mx+b where m is what and b is what?
Answer:
m = -1/2b = 3Step-by-step explanation:
You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).
SlopeThe parallel line will have the same slope. The slope is given by the equation ...
m = (y2 -y1)/(x2 -x1)
m = (5 -6)/(1 -(-1))
m = -1/2
InterceptWe need to find the y-intercept of the desired line. Solving the equation for "b", we get ...
y = mx +b
b = y -mx . . . . . . . subtract mx to find b
b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)
b = 2 +1
b = 3
The equation we want is ...
y = -1/2x +3
The quadrilateral ABCD is to be reflected across the line y = x, as shown in the diagram, to give a new quadrilateral, A'B'C'D'
B
A
7
6
5
4
3
4
-2
-3
-4
-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8
-5
-6
D
-7
y=x
What are the coordinates of A?
Using translation concepts, the coordinates of A' are given as follows:
A' (6,-2).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a translation over the line y = x is given by:
(x,y) -> (y,x).
The coordinates of A are (-2,6), hence the coordinates of A' are given as follows:
A' (6,-2).
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60 PTS, BRAINLIEST, 5-STAR, THANKS.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Step-by-step explanation:
Add everything and then equate it to 360 and when you have found x, substitute it in A and B
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not blue.
_______________________
Compute the probability that a randomly selected peanut M&M is blue or green.
___________________
Compute the probability that three randomly selected peanut M&M’s are all orange.
__________________
If you randomly select three peanut M&M’s, compute that probability that none of them are orange.
_______________________
If you randomly select three peanut M&M’s, compute that probability that at least one of them is orange.
_______________________
a) P(BL') = 0.77
b) P(BL) + P(G) = 0.380
c) 0.012167 = 0.012 to 3 d.p
d) 0.456533 = 0.456 to 3 d.p
e) 0.543467= 0.543 to 3 d.p
Probability of brown M&M's = P(Br) = 0.12
Probability of yellow M&M's = P(Y) = 0.15
Probability of red M&M's = P(R) = 0.12
Probability of blue M&M's = P(BL) = 0.23
Probability of orange M&M's = P(O) = 0.23
Probability of green M&M's = P(G) = 0.15
Total probability = 1
a) The probability that a randomly selected peanut M&M is not blue = 1 - P(BL) = 1 - 0.23 = 0.77
b) Tblue he probability that a randomly selected peanut M&M is blue or green = P(BL) + P(G) = 0.23 + 0.15 = 0.38
c) The probability that three randomly selected peanut M&M's are all orange= P(O) × P(O) × P(O) = 0.23 × 0.23 × 0.23 = 0.012167
d) If you randomly select three peanut M&M's, compute that probability that neither of them are orange
This probability = P(O') × P(O')×P (O')
P(O') = 1 - P(0) = 1 - 0.23 = 0.77
P(NO)=P(O') × P(O') × P(O')= 0.77 × 0.77× 0.77 = 0.456533
e) If you randomly select three peanut M&M's, compute that probability that at least one of them is Orange
let the probability of at least 1 of them being orange be P(AO)
let the probability of none of them being orange be P(NO)
we know that
P(AO) = 1- P(NO)
= 1- 0.456533
= 0.543467
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1/5 x - 4 = 3
maths exercise 4.4 1st question b part
class 7
The value of x in the expression is 35
How to calculate the value of x in the expression ?The expression is written as
1/5x - 4 = 3
collect the like terms of both sides to get the value of x
1/5x = 3 + 4
1/5x= 7
Divide both sides by the coefficient of x which is 1.5
1/5x ÷ 1/5 = 7 ÷ 1/5
x= 7 ÷ 1/5
x= 7 × 5/1
x= 35
Hence the value of x in the expression is 35
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define terminating.math
Answer:numbers
Step-by-step explanation:
numbrres and letters
I WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST!!!!!!Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3).
On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis.
The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis.
Segment A increases, segment B is increases, and segment C decreases.
The qualitative graph is described as follows:
Segment A increases, segment B is increases, and segment C decreases.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.For the first three graphs, the line and the heights both represent numerical values, hence they are quantitative variables.
This leaves only the last graph, with the segments, as a qualitative variable.
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Answer: This would be D
Step-by-step explanation: A up B up, then c crashes down. But since its qualitative instead of being numbers, they're names like time and height.
Translate the following into an expression or equation.
Five more than twice a number.
Answer: 5>x
Step-by-step explanation: hope this right
Answer: 2x+5
Step-by-step explanation:
Five more is adding 5
Twice a number would be 2 times something so we use a variable as "a number"
please refer to the image!!
The expression for f(x) is -3x² - 2
What are different form of Transformation ?Transformation can be any of the following.
TranslationalRotationalReflectionEnlargementGiven that g(x) = -3x² + 7
if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,
f(x) = -3x² + 7 - 9
f(x) = -3x² - 2
Therefore, the expression for f(x) is -3x² - 2
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Find the quotient of x^5 − 2x^3 + 1 / x^2 − 6 by any appropriate method. Given that the initial expression is of the form a(x)/b(x) , rewrite the quotient in the form q(x)+r(x)/b(x) , noting that r(x) could possibly be zero. Identify q(x) , r(x) , and b(x) .
q(x)=
r(x)=
b(x)=
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6), and the identification q(x) , r(x) , and b(x) are as follow :q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
Given details in the following question are as follows:
x^5 − 2x^3 + 1 is divided by x^2 − 6
By using the divisor method :
x^5 − 2x^3 + 1 / x^2 − 6 = x3 +(4x^3+1 is divided by x^2 − 6)
= x^3 +4x +(24x +1 divided by x^2 − 6)
where we can see that the q(x) +r(x)/b(x) is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
q(x) = x^3 +4x
r(x) = 24x +1
b(x) = x^2 − 6
The quotient in the form q(x)+r(x)/b(x) which is equal to the x^3 +4x +(24x +1 divided by x^2 − 6)
What is the divisor method?A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor.
Divisor Formula
The divisor formula is formed for two situations - with or without a remainder:
If the remainder is 0, then Divisor = Dividend ÷ Quotient.
If the remainder is not 0, then Divisor = (Dividend - Remainder) ÷ Quotient
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Raymond has saved $50, and Felicia has saved $30. Each week, Felicia saves $15 and Raymond saves $10.
The following is true:
n=the number of weeks
R= the amount Raymond saves
F=the amount Felicia saves
Create equations to represent how much Raymond and Felicia will save after n weeks.
Answer:
50+10n for Raymond and 30+15n for Felicia
Step-by-step explanation:
N is for the amount of weeks times the amount saved per week then add the amount saved in the beginning.
Write the equation of each line in slope-intercept form.
Please help!!
4 is multipled by the difference of 5 and a number.
Answer:
Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4
Solve the equation.
8n - (2n+5) = 19
(Simplify your answer.)
Answer:
6n-5
Step-by-step explanation:
The area of this square is one hundred twenty-one square centimeters. What is the length of one side of this square?
Answer: 11
Step-by-step explanation:
Answer:
11 square centimeters
Step-by-step explanation:
The area of a rectangle is length times width. A square is a type of rectangle that has four equal sides, so if we know one side we know all four.
A = l x w
121 = l x w
Since we know l and w are equal we can take the square root of 121, which is 11.
x + 2 ≥10 and 5x - 7≥3
Answer: x≥8
Step-by-step explanation:
x + 2 ≥10 and 5x - 7≥3
x+2-2≥10-2
x≥10-2
x≥8
5x - 7≥3
5x - 7+7≥3+7
5x≥10
x≥2
x≥2 and x≥8 ==> x≥8 since for both equations, x≥8, but x can't be greater than 2 and less than 8.
Susan Marciano invested part of her 29000 bonus in a fund that paid an 11
% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was 2740.
The amount invested in the in account that had an 11% profit is $26,000
The amount invested in the in account that had a 4% loss is $3,000.
What are the linear equations?a + b = 29,000 equation 1
0.11a - 0.04b = 2740 equation 2
Where:
a = amount invested in the account that had an 11% profit
b = = amount invested in the account that had a 4% loss
How much was invested in each account?
Multiply equation 1 by 0.11
0.11a + 0.11b = 3190 equation 3
Subtract equation 2 from equation 3
0.15b = 450
Divide both sides of the equation by 0.15
b = 3000
Subtract 3000 from 29,000
a = 29,000 - 3,000 = 26,000
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Use function notation to write the equation of the line.
please help
Answer:
f(x)=3
Step-by-step explanation:
equal to y=3 because the lime is horizontal meaning each point has the same y value
1/2 of the candles on Claire's birthday cake are pink of the candles are green. The rest 2/10 are red What fraction of the candles is red?
According to the solving the fraction of the candles is red = 7/10.
What exactly is a fraction in mathematics?A fraction is a portion of a whole. In arithmetic, each number is represented as a quotient, which is the numerator divided by the denominator. In a simple fraction, are both integers. A complicated fraction contains a fraction in either the numerator or denominator.
How do you calculate a fraction?To calculate a fraction of either a number, divide it by the fraction's denominator, then multiply the result by the fraction's numerator. For example, if we wanted to figure out what 3/8 of 24 is, we might divide 24 by 8. (the denominator of the fraction).
According to the given data:Let 1 would be the total,
So,
2/10 are green.
1/2 of 1 is 1/2, so 1/2 candles are pink.
1/5+1/2.
1/5+1/2 = red candles
there is ultimately 7/10 candles that are red.
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I understand that the question you are looking for is:
1/2 of the candles on Claire's birthday cake are pink. 2/10 of the candles are green. The rest are red. What fraction of the candles is red?
I need help with questions 7 and 8 of the questions I’ll mark brainliest
7. If jenny uses 24 yards of blue yarn then, she needs to use 6 yards of white yarn to make a scarf.
8. Jenny cannot use 42 yards of blue yarn and maintain the same ratio of blue to white yarn since the values of the two fabrics are different.
Given, Jenny wants to make a scarf that uses 24 yards of blue yarn.
how many yards of white yarn will she need = ?
from the given situation:
let the blue yarn be x yards.
and the white yarn be y yards.
Jenny uses blue yarn, 4 times the number of yards of white yarn.
⇒ x = 4y
therefore, scarf = blue yarn + white yarn
= x + y
= 4y + y
given that jenny uses 24 yards blue yarn.
therefore,
4y + y = 24 + y
5y = 24 + y
5y - y = 24
4y = 24
y = 24/4
y = 6
hence she needs to use 6 yards of white yarn.
8. If Jenny uses 42 yards of blue yarn then :
4y + y = 42 + y
5y = 42 + y
5y - y = 42
4y = 42
y = 21/2
y = 10.5
hence ratio of blue yarn to white yarn is:
42:10.5
both are not same , hence she can't keep the same ratio while using 42 yards of blue yarn
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A rectangle has a perimeter of 24 units. If the rectangle is dilated so that its new perimeter is 12 units, what is true about the dilation?
The dilation is an enlargement.
The dilation has a translation factor of 2.
The dilation has a scale factor of 2.
The dilation has a scale factor of 0.5.
The true statement about the dilation is (d) The dilation has a scale factor of 0.5.
How to determine the true statement?The given parameters are
Initial perimeter = 24 units
New perimeter = 12 units
The scale factor of dilation is calculated as
Scale factor = New perimeter/Initial perimeter
So, we have
Scale factor = 12/24
Evaluate
Scale factor = 0.5
Hence, the true statement about the dilation is (d) The dilation has a scale factor of 0.5.
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Aircraft A has 127 seats more than aircraft B. If their total number seats it 505, find the number of seats for each aircraft
In linear equation ,316 is the number of seats for each aircraft .
What are instances of linear equations?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Aircraft B: x seats
Aircraft A: x+ 127 (127 more than B)
Total seats on both is 505.
So, x+127+x = 505
Combine like terms
2x+127 = 505
Subtract by 127 both sides
2x = 505-127 = 378
Divide by 2 on both sides
x = 189 seats (B)
x + 127 =189 + 127 = 316 (A)
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