Answer:
hi
Step-by-step explanation:
[tex]x {}^{3} - 27 = {x}^{3} - {3}^{3} \\ = (x - 3)( {x}^{2} + 3x + 9) \\ {x}^{3} + 27 = {x}^{3} + {3}^{3} \\ = (x + 3)( {x}^{2} - 3x + 9)[/tex]
An office block has five floors (ground, 1, 2, 3 and 4), all connected by a lift. When it goes up
to any floor (except 4), the probability that after it has stopped it will continue to rise is 3/4.
When it goes down to any floor (except the ground floor), the probability that after it has
stopped it will continue to go down is 1/4. The lift stops at any floor it passes.
The lift is currently at the first floor having just descended. Calculate the probability of
these events.
a Its second stop is the third floor.
b Its third stop is the fourth floor.
c Its fourth stop is the first floor.
Answer:
Step-by-step explanation:
a) The second stop is the third floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the second floor (which is the first floor in this scenario) to the third floor is 3/4.
The probability of both events happening is the product of the individual probabilities: (3/4) * (3/4) = 9/16.
b) The third stop is the fourth floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The probability of all three events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) = 3/16.
c) The fourth stop is the first floor:
The first stop is the first floor, so the probability of going up from the first floor is 3/4.
The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.
The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.
The next stop is the first floor, so the probability of going down from the fourth floor to the first floor is 3/4.
The probability of all four events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) * (3/4) = 9/64.
What would you need to invest to produce $23711 if your interest rate is 3.6% compounded monthly for 15 years? Round your answer to the nearest dollar.
Answer:
$10576.38
Step-by-step explanation:
To calculate the investment amount required to produce $23711 at an interest rate of 3.6% compounded monthly for 15 years, you can use the formula for compound interest:
A = P * (1 + r/n)^(nt)
where:
A is the amount of money you have after "t" years,
P is the initial investment amount (what you want to find),
r is the interest rate as a decimal,
n is the number of times the interest is compounded per year,
t is the number of years the investment will be compounded for.
In this case,
r = 0.036
n = 12 (because the interest is compounded monthly)
t = 15
So, we can plug in the values into the formula and solve for P:
A = P * (1 + 0.036/12)^(12 * 15)
$23711 = P * (1.003)^(180)
$23711 = P * 2.2375
Dividing both sides by 2.2375:
P = $23711 / 2.2375
P = $10576.38
So, to produce $23711 at an interest rate of 3.6% compounded monthly for 15 years, you would need to invest $10576.38. Rounded to the nearest dollar, this amount is $10576.
The last customer of the day calls telling you they purchased 80 meters of fencing to fence in
a circular area around their flagpole. They want to know how much area of concrete they'd
need to buy to cover the entire circular pad around the flagpole. Using their fence as the
circumference, calculate how much area they will need to cover with the concrete for their
circular pad.
The area of circle that is needed to be filled with concrete is 509 m².
What is the definition of a circle?
A circle is a kind of ellipse with zero eccentricity and two coinciding foci. The locus of points drawn at equal distances from the centre is also known as a circle. A circle's radius is the distance between its centre and its outer line. A circle's diameter is the line that divides it into two equal halves and is equal to twice its radius.
A circle in the plane has the following equation:
(x-h)^²+ (y-k)² = r²
When the coordinate points are aligned (x, y)
(h, k) is the centre of a circle's coordinate.
r denotes the radius of a circle.
where 2πr is the circumference of the circle
πr²=circle's area
Now,
Given that circumference of the area=80 m
2πr=180
2*22/7*r=80
r=80*7/44
r=140/11 m
then area of the circular pad=πr²
=22/7*140/11*140/11
=2*20*140/11
=5600/11
=509 m²
hence,
The area of circle that is needed to be filled with concrete is 509 m².
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A verbal description of a linear function h is given. Express the function h in the form
h(x) = ax + b.
The graph of the linear function h has slope
8
9
and y-intercept 3.
h(x) =
The graph of the linear function h has slope the function h in the form
h(x) = 8x + 9.
What is a linear function?Straight lines make up the graph of linear functions. The following is the format of a linear function. y = f(x) = a + bx A linear function has a independent variable so one dependent variable.
What does the described linear function look like?As a result of the task's objectives, it is necessary to identify the linear expression that corresponds to the verbal description that has been provided.
Since f(x) = axe + b is the typical slope-intercept form of a linear function,
an is the slope (rate of change), and b is the y-intercept (initial value).
g = -12x + 100 is the necessary linear function, which is what has been presented.
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Click the bookings sheet tab and select cell f5. Calculate average revenue per passenger by dividing the fee by the number of passengers.
In this exercise we have to use the knowledge of excel to explain some functions that can be used, as:
In excel cell a division formula can be written as: =(A4+B4+C4+D4+E4)/5
If you track your daily earnings in an Excel spreadsheet, you can use the same spreadsheet to estimate your forecasted earnings for any period of time. You can use Excel's AVERAGE function to find out your average daily income. Multiply your average daily sales by the number of days specified to estimate how much profit you could make over time.
In mathematics, the average of a list of data represents the central value of the set of data. Mathematically defined as the ratio of the sum of all data and the number of items in the list. In statistics, the mean of a particular set of numerical data is also called the mean. For example, the average of 2, 3, 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the center value of 2, 3, and 4. So the meaning of average is to find the average of a group of numbers.
mean = sum of values / number of values
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Can someone please me with this
Answer:
It would be C.
Step-by-step explanation:
It would be C.
JKP, the smaller triangle, needs to be turned into J'K'P' to show proof the the triangles are similar. So the first thing you would have to do, because J'K'P' is exactly 2 times bigger than JKP, is multiply the x and the y by 2. However, this shifts the triangle, and we need the triangles to overlap to prove they are also the same size. So comparing the x and y values after we increase the sides of JKP, we would see we need to subtract the x value by 3, and the y value by 2.
Feb 10, 11:39:26 AM
Solve for x. Round to the nearest tenth of a degree, if necessary.
to
1.6
H
1.2
The solution is, x =48.6
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
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Mr. Kelso went shopping for school supplies. He purchased white boards for $0.79 each, sharpies for $1.56 each and glue sticks for $0.85 each and spent a total of $91.92. If he purchased five times the number of white boards as glue sticks and 10 more sharpies than glue sticks, how many of each item did he purchase?
Help please!
Answer:
Let's call the number of white boards that Mr. Kelso purchased "W", the number of sharpies "S", and the number of glue sticks "G". We know the following information:
W = 5G
S = G + 10
And we also know the total cost of the items:
0.79W + 1.56S + 0.85G = 91.92
We can use the first equation to substitute for W in the second equation:
0.79(5G) + 1.56(G + 10) + 0.85G = 91.92
Expanding and simplifying the equation:
4.95G + 1.56G + 16.6 + 0.85G = 91.92
7.36G + 16.6 = 91.92
7.36G = 75.32
G = 10.25
So Mr. Kelso purchased 10 glue sticks. Using the first equation, we can find that he purchased 5 * 10.25 = 51 white boards. And using the second equation, we can find that he purchased 10.25 + 10 = 20.25 sharpies.
Since the number of each item must be a whole number, we round up or down to the nearest integer. In this case, it would make sense to round up the number of sharpies to 21. So Mr. Kelso purchased 51 white boards, 21 sharpies, and 10 glue sticks.
In △ABC', BD is the perpendicular bisector of ADC . Based upon this information, which statements below can be proven? I.BD is a median. II. BD bisects ABC III. △ABC is isosceles.
(1) I and II, only
(3) II and III, only
(2) I and III. only (4) L I and II
Based upon this information, (2) I and III only statements can be proven.
From the given information, we can prove that statement II is true, i.e., BD bisects ABC.
Proof:
Since BD is the perpendicular bisector of ADC, we have AD = CD and ∠ADB = ∠CDB = 90°. Thus, triangles ABD and CBD are congruent (by the hypotenuse-leg congruence criterion), which implies AB = BC and ∠ABD = ∠CBD. Therefore, BD bisects ∠ABC.
However, we cannot prove that statements I or III are true based solely on the given information.
Statement I (BD is a median) would be true if we had additional information that AD = DB = DC, but this is not necessarily true based on the given information.
Statement III (△ABC is isosceles) would be true if we had additional information that AB = BC, but this is not necessarily true based on the given information. In fact, it is only guaranteed that AB = BC if AD = BD = DC, which is not necessarily the case.
Therefore, the correct answer is (2) I and III, only.
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What is the volume 
Answer:
12 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume is the length x the width x the height
The rectangle of the bottom would be
(4)(2)(1) = 8
The rectangle on the top would be
(1)(2)(2) = 4
8 + 4 = 12 [tex]in^{3}[/tex]
PLEASE HELP WITH CHART:
You can fill in the rest of the table as shown below.
How to fill in the rest of the table?The derivative of a function is a concept from calculus that measures the rate of change of a function at a specific point. It provides information about how the value of the function changes as its input changes.
Use the following differentiation rules to fill the table:
d/dx(f(x)·g(x)) = f(x)·g'(x) + f'(x)·g(x) (product rule)
d/dx(f(x)/g(x)) = [ g(x)·f'(x) - f(x)·g'(x) ] / [(g(x))²] (Quotient rule)
d/dx(g(x)/f(x)) = [ f(x)·g'(x) - g(x)·f'(x) ] / [(f(x))²] (Quotient rule)
x f(x) f'(x) g(x) g'(x) d/dx(f(x)·g(x)) d/dx(f(x)/g(x)) d/dx(g(x)/f(x))
0 3 -2 -4 3 17 -1/16 1/9
1 2 -1 1 0 -1 -1 1/4
2 4 2 3 1 10 2/9 -1/8
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I can’t figure out this other one, can I get some help?
place g(x) as the value x, into p(x)
to gain p(g(x)) = (1 / SqrRt(x) )² - 4
simplify = ( 1 / x ) - 4
find domain
x =/= 0 (undefined) & (1/4)
HELP ASAP WILL GIVE BRAINLIEST
The system of linear equations 3x + 2y = -4 and y=x+1 is graphed on a coordinate plane. Approximate the solution to the system.
7
3
(-1.5, 0.25)
(-0.5, 0.75)
(1.5, 0.25)
(-2.5, 1.5)
4
3
2
-2 1 0
-1
-2
-3
-4
-5
1
.
2
32
4
5
Answer:yo no se como ablar ingles
Step-by-step explanation: perdoname
If M = {distinct letters in the word mathematics} and N = {distinct letters in the word nevertheless}, what is |M × N|?
|M × N| =
The value of the expression represented by |M × N| is 64
How to determine the value of |M × N|?from the question, we have the following parameters that can be used in our computation:
M = {distinct letters in the word mathematics} N = {distinct letters in the word nevertheless}Using the above as a guide, we have the following:
M = 8 i.e. {m, a, t, h, e, i, c, s}.
N = 8 i.e. {n, e, v, r, t, h, l, s}.
So, we have
|M × N| = 8 * 8
Evaluate
|M × N| = 64
Hence, the value of |M × N| is 64
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Explain using general or slope form
PLS HELP
Answer:
y = 3x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{3} }[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute (- 1, - 3 ) into the partial equation
- 3 = 3(- 1) + c = - 3 + c ( add 3 to both sides )
y = 3x + 0 , that is
y = 3x
A curve is defined by the implicit equation X³ + X²Y + 4Y² = 6.
Find the value of day/dx when X = 1 and when Y = 1.
Find the value of day/dx when X = 1 and when Y = 1. I would like to answer correct but Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
For the transformation to be a translation, which statements are true? Select four options
Answer:
do it yourself
Step-by-step explanation:
Answer:
A. The transformation preserves distances and angles between points.
B. The transformation preserves the orientation of the figure.
C. The transformation involves a sliding of the figure in a fixed direction.
D. The transformation results in a change of size or shape of the figure.
E. The transformation results in a reflection of the figure.
For the transformation to be a translation, statements A, B, C and E are not true, while statement D is true.
Step-by-step explanation:
Assume a TCP sender is continuously sending 1,126-byte segments. If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, what is the utilization? Assume no errors, no processing or queueing delay, and ACKs transmit instantly. Also assume the sender will not transmit a non-full segment. Give answer in percentages, rounded to one decimal place, without units (e.g. for an answer of 10.43% you would enter "10.4" without the quotes).
If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, then the utilization is 0.4%.
What is Round trip time?
The round-trip time (RTT) is the time it takes from when a browser submits a request to when it receives a response from a server, measured in milliseconds.
The time it takes for a segment to be transmitted over the link is:
time per segment = 1,126 bytes / 10 Mbps = 0.00009008 seconds
The end-to-end propagation delay is 14.4 ms, or 0.0144 seconds.
The time it takes for an ACK to be sent back from the receiver is the propagation delay plus the time it takes for the ACK segment to be transmitted over the link:
time for ack = 0.0144 seconds + (1 segment / 10 Mbps) = 0.014508 seconds
The time it takes for the sender to receive an ACK after sending a segment is the time it takes for the segment to be transmitted, plus the time it takes for the ACK to be sent back:
round trip time = time per segment + time for ack = 0.00009008 + 0.014508 = 0.0145
The number of segments that can be in flight at any given time is the window size divided by the segment size:
segments in flight = 6,353 bytes / 1,126 bytes = 5.645 segments
We can now calculate the maximum sending rate of the sender by dividing the number of segments in flight by the round-trip time:
max sending rate = segments in flight / round trip time = 387.165 segments per second
The utilization of the link is the sending rate divided by the link rate, multiplied by 100 to get a percentage:
utilization = (max sending rate / 10 Mbps) * 100 = 0.00387165 * 100 = 0.387165%
Rounding to one decimal place, the utilization is 0.4%.
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William is 6 years older than Camila. Nine years ago he was twice Camila’s age. How old is he now?
The solution is, he is now 21 yrs old.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
William is 6 years older than Camila.
Nine years ago he was twice Camila’s age.
let, he is now = x yrs
Camila’s age = y yrs.
so, we get,
x-y = 6 .....(1)
and, x-9 = 2(y-9) ....(2)
solving we get,
x-9 = 2(x-6-9)
or, x = 21
Hence, The solution is, he is now 21 yrs old.
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Use the formula V = ²h, where r is the radius and h is the height, to find the volume of the inside of this cylindrical pipe in terms of pi.
Answer:
Below
Step-by-step explanation:
r = 1/2 diameter = 4 x^2 y^2
Volume = pi r^2 h =
pi (4 x^2 y^2 )^2 * ( 12 x^2 y^2 ) =
16 x^4 y^4 * 12 x^2 y^2 * pi
= 192 x^(4+2) y^(4+2) pi
= 192 x^6 y^6 pi
Complete the sentence below.
2570 is ten times smaller than?
Answer:
2570 is ten times smaller than 25700
Step-by-step explanation:
Find value of x. Round to the nearest tenth
Answer:
Step-by-step explanation:
x/sin90=17.3/sin53
sin90=1
x=17.3/sin53
x=13.8
Factor: 8x 4x 2x 5-23 +12
Answer:
this is the answer ................................
Choose the ratio below that is equivalent to the greatest fraction.
A. 5:3
B8:4
C. 2:7
D 9:5
The ratio that is equivalent to the greatest fraction is B. 8:4.
What is a ratio?A ratio is a relative size or value contained in another quantity. It is computed as the quotient of the smaller and larger values.
Ratios are fractional values, which we can depict as fractions, decimals, or percentages.
Ratios are also depicted using the ratio symbol (:), describing the numerical relationship between two or more values or variables.
Ratio 5:3The sum of ratios = 8
5/8 = 0.625
Ratio 8/4The sum of ratios = 12
8/12 = 0.67
Ratio 2:7The sum of ratios = 9
2/9 = 0.22
Ratio 9:5The sum of ratios = 14
9/14 = 0.64
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Please help bro I need help solving this polynomial and terms
The expression represents a quintic polynomial with 4 terms. The constant term is -6, the leading term is x⁵/2, and the leading coefficient is 1/2.
What is a polynomial expression?A polynomial expression is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
From the polynomial expression given:
[tex]\dfrac{1}{2}x^5 - 6 - x^4 -5x^2[/tex]
The degree of a polynomial is the highest degree of its terms which helps us to determine the type of polynomial (quintic polynomial). The constant term is -6.
The leading term in a polynomial is the term with the highest degree = x⁵/2. The leading coefficient of a polynomial is the coefficient of the leading term is 1/2.
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Answer:
quadrinomial, 4, -6, 1/2x^5, 1/2
Step-by-step explanation:
quadrinomials are polynomials with 4 terms
constant is the number with no variable
leading term is the term at the beginning
leading coefficient is the number at the beginning
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
1
2345
y
4
-5
-14
-23
-32
The data in the table represents a linear function, as when x is increased by one, y is subtracted by a constant amount of 9.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, the function is classified as linear, as the difference between consecutive terms is 9, while the ratios are different.
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Q. On Fridays at the ballpark, a cup of soda costs $4, and each refill costs $0.80. If x represents the number of refills, which of the following equations represents the amount a person spends on soda?
A. y = 0.8x + 4.8
B. y = 4x + 4.8
C. y = 4x + 0.8
D. y = 0.8x + 4
Answer:
The correct answer is D.
Step-by-step explanation:
D. y = 0.8x + 4.
Find the peremiter of these triangles with step by step solutions plss. Thanks!
25+25=50,4+4=8;50+8=58
The number of candies sold can be determined by the equation: T = 0.3c,
where T is number of candies and c is the number of children. Find the
constant of proportionality.
The constant of proportionality in the equation is 0.3.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
WE are given that number of candies sold can be determined by the equation: T = 0.3c, where T is number of candies and c is the number of children.
0.3 = constant of proportionality
0.3 = p / n
which is the ratio of p to n
The constant of proportionality is the ratio between the two quantities that are directly proportional.
Therefore,
0.3 is the constant of proportionality in the equation.
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Two draws are made at random without replacement from a box containing the following five tickets:
1 2 3 4 3
What is the probability that the sum of the tickets is 5?
in %
The probability that the sum of the ticket is 5, expressed as a percentage is 30%
What is the probability that an event will occur?The probability that an event will occur can be found by the ratio of the number of times the event occurs to the number of all possible events.
The five tickets in the box = 1, 2, 3, 4, 3
The tickets that sum to 5 are; 1 and 4, 2 and 3
The probability that the first ticket picked is 1 = 1/5
The probability that the next ticket picked is a 4 = 1/(5-1) = 1/4
Therefore, the probability of picking a 1 and 4 = (1/5) × (1/4) = 1/20
Similarly, the probability of picking a 4 and then a 1 is 1/20
The probability of picking tickets with numbers 1 and 4 in either order therefore = 2 × 1/20 = 1/10
The probability that the first ticket drawn is 2 = 1/5
The probability that the next ticket picked is a 3 = 2/(5-1) = 1/2
Therefore, the probability to draw a 2 and 3 = (1/5) × (1/2) = 1/10
The probability that the first ticket picked is 3 = 2/5
The probability that the next ticket picked is a 2 = 1/(5-1) = 1/4
Therefore, the probability of picking a 3 and 2 = (2/5) × (1/4) = 2/20 = 1/10
The probability of picking a 2 and a 3 in either order is therefore;
1/10 + 1/10 = 2/10 = 1/5
The probability that the sum of the ticket is 5, is the sum of the probabilities of picking a 1 and a 4 and the probability of picking a 2 and a 3, which is; 1/10 + 1/5 = 3/10 = 0.3
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