(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Answers
Step-by-step explanation:
y=1
x=1
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Related Questions
derivate f(x)=x^3-2x^2-x+1
Answers
Answer:
f(x)'=3x^2-4x
Step-by-step explanation:
dy/ dx or f(x)'=3x^2-4x
Please make answer as brainliest
? QUESTION
Learning Page
The ratio of men to women working for a company is 5 to 4. If there are 243 employees total, how many women work for the company?
OO EXPLANATION
Answers
Answer:
108 women
Step-by-step explanation:
add the parts of the ratio together
5 + 4 = 9
divide the total number of employees by 9
243/9 = 27
now multiply the parts of the ratio by 27.
5 X 27 = 135
4 X 27 = 108
when gisselle decided to stop eating junk food she started saving more for her allowance to buy a larger bicycle she managed to put away $6 every week for eight weeks and found a nice used bicycle for $50 she thought that she had close to that amount in her savings jar did she have exactly enough for the bycycle? if not how much extra or how much to little did she have
Answers
حيدر
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find the lettered angles in the figure below (O is the centre of each circle)
Answers
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46
u = 180 - t = 180 - 46 = 134
v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23
Step-by-step explanation:
Kerry invited 23 friends to his pool party. They played a game where everyone had to separate into groups. Each group had the same number of children.The game could not be played with all 24 children in one group and each group had to have more than two children. Which of the following are ways that they could divide into groups? Choose all that apply.
Answers
Answer:
24:
6 of 4
or
8 of 3
Step-by-step explanation:
6x4=24
8x3=24
I need the answer for 4 yr,6yr,15yr & find the half life
Answers
We have a mass that follows the given exponential model:
\(A(t)=500e^{-0.032t}\)a) We have to calculate how much mass is present after 4 years. This correspond to the value of A when t = 4, as t is expressed in years.
We can replace t with 4 and calculate A(4) as:
\(\begin{gathered} A(4)=500e^{-0.032(4)} \\ A(4)=500e^{-0.128} \\ A(4)\approx500\cdot0.8799 \\ A(4)\approx440 \end{gathered}\)b) We have to calculate the remaining mass after 6 years. This is similar to the previous point, but with t = 6 years.
We can calculate A(6) as:
\(\begin{gathered} A(6)=500e^{-0.032(6)} \\ A(6)=500e^{-0.192} \\ A(6)\approx500\cdot0.8253 \\ A(6)\approx413 \end{gathered}\)c) We have to calaculate the mass after 15 years (t = 15):
\(\begin{gathered} A(15)=500\cdot e^{-0.032(15)} \\ A(15)=500\cdot e^{-0.48} \\ A(15)\approx500\cdot0.6188 \\ A(15)\approx309 \end{gathered}\)d) We have to calculate the half-life for this element.
This represents the interval of time t for which the mass is halved. This value is constant for an exponential decay model and we can find this value t as:
\(\begin{gathered} \frac{A(x+t)}{A(x)}=0.5 \\ \\ \frac{500\cdot e^{-0.032(x+t)}}{500\cdot e^{-0.032x}}=0.5 \\ \\ e^{-0.032t}=0.5 \\ \\ \ln(e^{-0.032t})=\ln(0.5) \\ \\ -0.032t=\ln(0.5) \\ \\ t=-\frac{\ln(0.5)}{0.032} \\ \\ t\approx21.66 \end{gathered}\)Answer:
a) 440 g
b) 413 g
c) 309 g
d) 21.66 years
In A QRS, ZRTQ - STR.
R
S
Which relationship proves that ZQRS is a right angle?
Answers
Answer:
A
Step-by-step explanation:
hhjjjjkkkdaa vhjkkjddgj hjkjcgh
Angle A and Angle B are supplementary, mZA = (6x + 72) and mZB = (2x + 28)". Find x, the
mZA and the mZB.
Answers
Answer:
x = 10
m<A = 132 degrees
m<B = 48 degrees
Step-by-step explanation:
Supplementary = angles that make up 180 degrees
We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.
8x + 100 = 180
8x = 80
x = 10
I input 10 into the equations to solve for the measures of the angles
Divide: 7 5/6 ÷ 2/3 need help
Answers
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
I need help solving this, I don't understand how to make this equation work
Answers
a) The result of the test for evenness is given as follows: y = 18x^7.
b) The result of the test for oddness is given as follows: y = 10x^16 + 36x^8.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x.If none of the above statements are true for all values of x, the function is neither even nor odd.The function for this problem is given as follows:
y = 9x^17 + 5x^16 + 18x^8.
For evenness, we have that:
f(-x) = 9(-x)^17 + 5(-x)^16 + 18(-x)^8.
Odd exponents are odd functions, while even exponents are even functions, thus:
f(-x) = -9x^17 + 5x^16 + 18x^8.
Then the simplified expression for evenness is of:
y = f(x) - f(-x)
y = 18x^7.
For oddness, the simplified expression is given as follows:
y = f(x) + f(-x).
y = 10x^16 + 36x^8.
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At a restaurant, the bill comes to $75. You decide to leave a 15% tip. What is the total amount you will owe for dinner and tip?
Answers
Answer:
75*.15=11.25 (tip amount)
75+11.25= $86.25 (total amount)
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 7.9
Step-by-step explanation:
\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Answers
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn if he worked 6 hours?
Answers
9514 1404 393
Answer:
72
Step-by-step explanation:
Substitute 6 for x in the equation and do the arithmetic.
y = 12x
y = 12·6 = 72
John earns 72 money units in 6 hours.
i'll mark brainliest thanks in advance ·
Answers
Answer:
Isosceles
Step-by-step explanation:
Answer: It is an Isosceles triangle because two sides are equal. Hope this helps!
A survey of 163 persons was conducted at TCC, and it was found that 90 persons carried a cell phone, 81 persons carried a tablet computer, and 43 carried both a cell phone and a tablet.
Answers
1. The number of people who carried a cell phone or a tablet is 128.
2. The probability that a person carries a cell phone or a tablet is 78.5%.
3. The number of people who carried neither a cell phone nor a tablet is 35.
4. The probability that a person carried neither a cell phone nor a tablet is 21.5%.
5. The number of people who carried a cell phone only is 43.
6. The probability that a person carried a cell phone only is 26.4%.
7. The number of people who carried a tablet but not a cell phone is 38.
8. The probability that a person carried a tablet but not a cell phone is 23.3%.
Data and Calculations:The sample size of the survey = 163
The number of persons who carried a cell phone = 90
The number of persons who carried a tablet computer = 81
The number of persons who carried both a cell phone and a tablet = 43
1. The number of people who carried a cell phone or a tablet is 128 (90 + 81 - 43).
2. The probability that a person carries a cell phone or a tablet is 78.5%. (128/163).
3. The number of people who carried neither a cell phone nor a tablet is 35 (163 - 128).
4. The probability that a person carried neither a cell phone nor a tablet is 21.5% (35/163).
5. The number of people who carried a cell phone only is 43.
6. The probability that a person carried a cell phone only is 26.4%(43/163).
7. The number of people who carried a tablet but not a cell phone is 38 (81 - 43).
8. The probability that a person carried a tablet but not a cell phone is 23.3% (38/163).
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Question Completion:1. How many people carried a cell phone or a tablet?
2. What is the probability that a person carries a cell phone or a tablet?
3. How many people carried neither a cell phone nor a tablet?
4. What is the probability that a person carried neither a cell phone nor a tablet?
5. How many people carried a cell phone only?
6. What is the probability that a person carried a cell phone only?
7. How many people carried a tablet but not a cell phone?
8. What is the probability that a person carried a tablet but not a cell phone?
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
-2/6
Step-by-step explanation:
Slope is the m in y = mx + b, while b is y-intercept.
Just by looking at it, you can see that the line has a negative slope becasue it's going downwards and to the right. You can also tell that the slope is in fact -2/6 because it goes downwards⬇ 2 units and to the right ➡ 6 units.
Remember rise/run, where rise is looking at the y-axis or vertical and run is the x-axis or horizontal.
Hope this helps :)
HELP HELP⚠️⚠️⚠️
Function is increasing over the interval (-6, -1), constant over the interval [-1, 3], and decreasing over the interval (3, 6). The function increases at a slow rate of change and decreases at a fast rate of change. Sketch the function.
Answers
As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval. The average rate of change of an increasing function is positive, and the average rate of change of a decreasing function is negative. Figure 3 shows examples of increasing and decreasing intervals on a function.
Graph of a polynomial that shows the increasing and decreasing intervals and local maximum and minimum.
Figure 3. The function
f
(
x
)
=
x
3
−
1
2
x
f(x)=x
3
−12x is increasing on
(
−
∞
−
)
∪
(
2
,
∞
)
(−∞,−2)∪
(2,∞) and is decreasing on
(
−
2
2
)
(−2,2).
I don’t know how to solve this but example?
A function
f
f is an increasing function on an open interval if
f
(
b
)
>
f
(
a
)
f(b)>f(a) for any two input values
a
a and
b
b in the given interval where
b
>
a
b>a.
A function
f
f is a decreasing function on an open interval if
f
(
b
)
<
f
(
a
)
f(b)a
a and
b
b in the given interval where
b
>
a
b>a.
A function
f
f has a local maximum at
x
=
b
x=b if there exists an interval
(
a
,
c
)
(a,c) with
a
<
b
<
c
ax
x in the interval
(
a
,
c
)
(a,c),
f
(
x
)
≤
f
(
b
)
f(x)≤f(b). Likewise,
f
f has a local minimum at
x
=
b
x=b if there exists an interval
(
a
,
c
)
(a,c) with
a
<
b
<
c
ax
x in the interval
(
a
,
c
)
(a,c),
f
(
x
)
≥
f
(
b
)
f(x)≥f(b).
Solution
We see that the function is not constant on any interval. The function is increasing where it slants upward as we move to the right and decreasing where it slants downward as we move to the right. The function appears to be increasing from
t
=
1
t=1 to
t
=
3
t=3 and from
t
=
4
t=4 on.
In interval notation, we would say the function appears to be increasing on the interval (1,3) and the interval
(
4
,
∞
)
(4,∞)
I’m sorry I couldn’t find the answer
Solve the following questions by showing the necessary steps.
1. DISPOSAL The Meyer family uses a kitchen trash can shaped like a
cylinder. It has a height of 12 inches and a base radius of 6 inches. What is
the volume of the trash can? Round your answer to the nearest tenth of a
cubic inch.
Answers
Answer:
The volume of the trash can is approximately 3,618.2 cubic inches.
Step-by-step explanation:
The volume V of a cylinder is given by the formula:
V = πr^2h
where r is the radius of the base and h is the height of the cylinder.
In this case, the height is 12 inches and the base radius is 6 inches, so we have:
V = π(6)^2(12)
= 1,152π
≈ 3,618.2 cubic inches (rounded to the nearest tenth of a cubic inch)
Therefore, the volume of the trash can is approximately 3,618.2 cubic inches.
Answer:
Volume of trash can is 1375.7 cubic inch.Step-by-step explanation:
The Meyer family uses a kitchen trash can shaped like a cylinder. It has a height of 12 inches and a base radius of 6 inches.
Height of trash can = 12 inches
Height of trash can = 12 inchesRadius of trash base = 6 inches.
Volume of cylinder = πr²h
= 22/7 × 6² × 12
= 22/7 × 36 × 12
= 9504/7
= 1375.7 inch³
Hence, Volume of the trash can is 1375.7 cubic inch.
what is the volume of a sphere with a diameter of 6.4 CM rounded to the nearest tenth of a cubic centimeter
Answers
Volume of a sphere = 4/3 π r^3
Where :
r= radius
Also
Radius = diameter /2
Replacing:
V= 4/3 π (6.4/2)^3 = 137.3 cm3
The n candidates for a job have been ranked 1, 2, 3,..., n. Let X 5 the rank of a randomly selected candidate, so that X has pmf p(x)551yn x51,2,3,...,n 0 otherwise (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n 1 1)y2, whereas the sum of their squares is n(n 1 1)(2n 1 1)y6.]
Answers
Question:
The n candidates for a job have been ranked 1, 2, 3,..., n. Let x = rank of a randomly selected candidate, so that x has pmf:
\(p(x) = \left \{ {{\frac{1}{n}\ \ x=1,2,3...,n} \atop {0\ \ \ Otherwise}} \right.\)
(this is called the discrete uniform distribution).
Compute E(X) and V(X) using the shortcut formula.
[Hint: The sum of the first n positive integers is \(\frac{n(n +1)}{2}\), whereas the sum of their squares is \(\frac{n(n +1)(2n+1)}{6}\)
Answer:
\(E(x) = \frac{n+1}{2}\)
\(Var(x) = \frac{n^2 -1}{12}\) or \(Var(x) = \frac{(n+1)(n-1)}{12}\)
Step-by-step explanation:
Given
PMF
\(p(x) = \left \{ {{\frac{1}{n}\ \ x=1,2,3...,n} \atop {0\ \ \ Otherwise}} \right.\)
Required
Determine the E(x) and Var(x)
E(x) is calculated as:
\(E(x) = \sum \limits^{n}_{i} \ x * p(x)\)
This gives:
\(E(x) = \sum \limits^{n}_{x=1} \ x * \frac{1}{n}\)
\(E(x) = \sum \limits^{n}_{x=1} \frac{x}{n}\)
\(E(x) = \frac{1}{n}\sum \limits^{n}_{x=1} x\)
From the hint given:
\(\sum \limits^{n}_{x=1} x =\frac{n(n +1)}{2}\)
So:
\(E(x) = \frac{1}{n} * \frac{n(n+1)}{2}\)
\(E(x) = \frac{n+1}{2}\)
Var(x) is calculated as:
\(Var(x) = E(x^2) - (E(x))^2\)
Calculating: \(E(x^2)\)
\(E(x^2) = \sum \limits^{n}_{x=1} \ x^2 * \frac{1}{n}\)
\(E(x^2) = \frac{1}{n}\sum \limits^{n}_{x=1} \ x^2\)
Using the hint given:
\(\sum \limits^{n}_{x=1} \ x^2 = \frac{n(n +1)(2n+1)}{6}\)
So:
\(E(x^2) = \frac{1}{n} * \frac{n(n +1)(2n+1)}{6}\)
\(E(x^2) = \frac{(n +1)(2n+1)}{6}\)
So:
\(Var(x) = E(x^2) - (E(x))^2\)
\(Var(x) = \frac{(n+1)(2n+1)}{6} - (\frac{n+1}{2})^2\)
\(Var(x) = \frac{(n+1)(2n+1)}{6} - \frac{n^2+2n+1}{4}\)
\(Var(x) = \frac{2n^2 +n+2n+1}{6} - \frac{n^2+2n+1}{4}\)
\(Var(x) = \frac{2n^2 +3n+1}{6} - \frac{n^2+2n+1}{4}\)
Take LCM
\(Var(x) = \frac{4n^2 +6n+2 - 3n^2 - 6n - 3}{12}\)
\(Var(x) = \frac{4n^2 - 3n^2+6n- 6n +2 - 3}{12}\)
\(Var(x) = \frac{n^2 -1}{12}\)
Apply difference of two squares
\(Var(x) = \frac{(n+1)(n-1)}{12}\)
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
How many degrees does the minute hand of a clock travel in 1 minute? What angle does an hour hand travel in 1 min?
Answers
Answer:
Step-by-step explanation:
The movement of the minute hand of the clock is circular. This means that a complete movement of the minute hand of the clock is the same as the angle formed at the center of the circle. The sum of the angles at a point is 360 degrees. The minute hand travels 360 degrees in a 60 minutes. It means that the degrees travelled in a minute is
360/60 = 6 degrees
The hour hand travels 360 degrees in 60 minutes. Therefore, the angle that the hour hand travels in 1 minute is
360/6 = 6 degrees
*Time limit help*
Tell me the domain and range
Tell me if the graph is a function or not.
Pick the right answer choice
A. Yes
B. No
C. -2<=x<=6
D. x>=-2
E. All real number
F. x<=6
G. -6<=y<=2
H. y>=-6
I. y<=2
J. y<=6
Answers
Examining the graph it can be deduced that
The domain is
C. -2<=x<=6The range is
G. -6<=y<=2The graph is not a function
How to tell if a graph is a function
To qualify as a function, any input (x-value) of a graph must be linked to a single output (y-value). Therefore, each x-value ought to have one and only one y-value that matches it.
A method for identifying whether or not a given graph is representative of a function is by conducting a vertical line test. To achieve this, vertically draw lines through the graph. When every vertical line hits the graph at just one point, then the illustration aptly presents a function. Conversely, if the graph forms multiple intersection points with any vertical line, it isn't classified as a functional representation.
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HELPP ASAP PLS
what is m
A) 120°
B) 75°
C) 80°
D) 85°
Answers
60 + x = 180
So x = 120
Please give me a brainliest answer
Pls help
Math question
Answers
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download the gauthmath app i promise it's very helpful :)
Answer:
26
Step-by-step explanation:
➝6x-4+83=21x+4
➝6x+79=21x+4
➝21x+4=6x+79
➝21x-6x=79-4
➝15x=75
➝x=75/15
➝x=5
____________________________M<D
➝6x-4
➝6(5)-4
➝30-4
➝26°
help me to solve it mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answers
Answer:
hi half human half zombie
what you gonna do sir
what you gonna do with the wigle wigle
- rastaman
7
The venue for an outdoor summer concert was divided into 35 sections. The event planner randomly chose 8 sections and counted
the number of ice chests in the section, as shown below.
48, 51, 26, 73, 51, 48, 26,51
Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section?
Answers
The mean number of ice chests in a section is 46.75.
How do we find the mean number of ice chests?The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..
To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.
Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51
Sum of ice chests = 374
Mean number of ice chests will be:
= (Sum of ice chests) / (Total number of sections sampled)
= 374 / 8
= 46.75
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please I need step by step answer. facyorise a2+8a+15
Answers
Answer:
(+3)(+5)
Step-by-step explanation:
Let's factor a2+8a+15
a2+8a+15
The middle number is 8 and the last number is 15.
Factoring means we want something like
(a+_)(a+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 8
Multiply together to get 15
Can you think of the two numbers?
Try 3 and 5:
3+5 = 8
3*5 = 15
Fill in the blanks in
(a+_)(a+_)
with 3 and 5 to get...
(a+3)(a+5)
Please help this was due yesterday
Answers
Answer:
f(x) = (x +6)(x -5) or f(x) = x² +x -30
Step-by-step explanation:
You want a quadratic function whose zeros are -6 and +5.
FactorsIf p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...
f(x) = (x -(-6))·(x -5)
f(x) = (x +6)(x -5) . . . . . . . . simplify a bit
This can be put in standard form by multiplying the factors:
f(x) = x(x -5) +6(x -5) = x² -5x +6x -30
f(x) = x² +x -30 . . . . . . . . simplified quadratic function
The quadratic function of the zeros is f(x) = \(x^2+x-30\).
What is quadratic function?
A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.
Here the zeros of the function is -6 and 5.
We know that if zeros of the function is a then the factor is (x-a).
Then,
=> f(x) = (x-(-6))(x-5)
=> f(x) = (x+6)(x-5)
=> f(x) = \(x^2+6x-5x-30\)
=> f(x) = \(x^2+x-30\)
Hence the quadradic function is f(x) = \(x^2+x-30\).
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