The value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.
What is an expression?Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is negative third cubed all raised to the power of negative 3.
The expression can be solved as below:-
E = [ ( -1 / 3 )³ ]⁻³
E = [ ( -1 / 3 ) ] ⁻⁹
E = ( -3 )⁹
E = -19683
Therefore, the value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.
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geometry unit 7 : angles of polygons & parallelograms
find the value of x
Using the relationships between the angles of a parallelogram, the value of x is 12.55°.
Finding the value of x:A parallelogram has opposite angles that are equal, and adjacent angles that add up to 180°.
We can start with angles a and c. Since they are both equal to 90°, that means that angle b must also be 90°.
We can now use this information to find the value of x.
We can use the fact that angles a, b, and c add up to 270° to find x.
Since angles a and c are both 90°, that means that angle b must be 90°.
We can then solve for x by subtracting 190° (90° + 100°) from 270° and dividing by 7.
In order to solve for the value of x, we must use the properties of a parallelogram.
Since a parallelogram has four sides and four angles, the sum of the interior angles must equal 360°.
Therefore, we can set up an equation using the given angles and the unknown angle of x to solve for the value.
95° + (7x - 4)° + 90° + (3x + 23)° + (9x - 6)° = 360°
20x + 109° = 360°
20x = 251°
x=12.55°
Therefore, the value of x is 12.55°.
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Write down the percentage multiplier to find 26% of an amount
pls do simple steps/working out :)
Answer:
To find 26% of an amount, you would use the percentage multiplier of 0.26.
Step-by-step explanation:
To use the multiplier, you would simply multiply the amount by 0.26.
For example:
26% of $100 = $100 x 0.26 = $26.
Alternatively, you can also express the percentage as a decimal by moving the decimal point two places to the left. In this case 26% is equal to 0.26
So, to find 26% of an amount you would multiply the amount by 0.26
For example:
26% of $100 = $100 x 0.26 = $26.
-x (y-8) ^2 for x = -2 and y = 5 ?
Which point is a solution to the system of linear equations? y = −x + 2 x − 3y = 6
If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the _____ probability distribution.
a. Poisson
b. exponential
c. binomial
d. hypergeometric
To calculate the probability of arrival of ten customer in one hour at a service station then use of option a. Poisson probability distribution is more applicable.
Poisson probability distribution represents the discrete probability of any event.This represents the occurring of the independent event in a fixed interval of time.It is also called constant mean rate.Here arrival of ten customer in fixed time interval of one hour we have to calculate.It implies that the Poisson probability distribution is the best way to calculate the given situation.Therefore, the required probability for the given situation is Poisson probability distribution .
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can someone please give me 4 examples of problem of radical operation
Step-by-step explanation:
The answer is do ur homework ur self
18. 60 minutes is 20% of
minutes.
In a scientific study there are 10 guinea pigs, 4 of which are pregnant. If 3 are selected at randorm without replacement, find the probability that all are pregnant. Enter your answer as a fraction or a decimal rounded to 3 decimal places.
P (3 are all pregnant) =
The probability that all 3 selected guinea pigs are pregnant is 0.033.
Let's consider the event "A" as "3 guinea pigs selected are all pregnant". The number of ways to choose 3 guinea pigs from the 4 pregnant ones is C(4,3) = 4. The total number of ways to choose 3 guinea pigs from the 10 is
C(10,3) = 120.
The probability of event "A" is given by
P(A) = C(4,3) / C(10,3) = 4 / 120 = 1/30.
Therefore, the probability that all 3 guinea pigs selected are pregnant is 1/30 or 0.033 rounded to 3 decimal places.
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select yes if the determinant shows that the matrix will reduce to an identity matrix; select no if it does not. [ 3 0 5 1 ]
No. The determinant doesn't show that the matrix will reduce to an identity matrix.
The determinant of a matrix is a scalar value that can be used to determine whether a matrix is invertible or not. If the determinant is non-zero, the matrix is invertible and can be reduced to an identity matrix through row operations. If the determinant is zero, the matrix is not invertible and cannot be reduced to an identity matrix.
In this case, the determinant of the matrix [3 0 5 1] is equal to 3 * 1 - 0 * 5 = 3, which is non-zero. Therefore, this matrix can be reduced to an identity matrix through row operations, but the determinant does not indicate this directly.
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Shannon planted t fewer trees than toby. Toby planted 6 trees . Choose the expression that shows how many trees Shannon planted
Shannon planted 6 - t trees.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
Shannon planted t fewer trees than toby.
Toby planted 6 trees.
Shannon planted.
= t - 6 trees.
Therefore, the result is 6 -t.
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Help need a answer asap
The polynomial
negative -19x^2+181x+14,420
represents the electricity generated (in gigawatts) by geothermal sources during 2002-2007. The polynomial
866x^2–78x+10,190 represents the electricity generated (in gigawatts) by wind power during 2002-2007. In both polynomials, x represents the number of years after 2002. Find a polynomial for the total electricity generated by both geothermal and wind power during 2002 - 2007
Step-by-step explanation:
To find the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007, we need to add the two given polynomials.
The polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 would be:
negative -19x^2+ 181x + 14,420 + 866x^2 – 78x + 10,190
Simplifying, we get:
847x^2 + 103x + 24,610
So the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 is 847x^2 + 103x + 24,610.
Please help me with this question.
In the given case- An inverse of a Laplace transform, which is the sum of two distinct components, is the sum of the inverse transforms of each term separately.
What does inverse Laplace transform refer to?
A Laplace transform that is the sum of two different terms has an inverse that is the sum of the inverse transforms of each term taken separately. A Laplace transform, which also has an inverse of the constant multiplied by the inverse of the function, is produced when a constant is multiplied by a function.
A given derivative function with a real variable (t) is transformed into a complex function with a variable (s) by the Laplace transform, which is an integral transformation. Assuming that f(t) complies with a number of later-explained conditions,
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Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x1, x2, and x3 in terms of the parameter t.) 1 0 1 0 1 0 0 0 0 (x1, x2, x3) =
There are indefinitely many solutions to the system.
[x(1), x(2), x(3)] = [-t, 0, t]
The matrix is:
[tex]\begin{bmatrix}1 &0 &1 \\ 0 &1 &0 \\ 0 &0 & 0\end{bmatrix}[/tex]
The system of equations' equivalent augmented matrix is
[tex]\left [ \left.\begin{matrix}1 &0 &1 \\ 0 &1 &0 \\ 0 &0 & 0 \end{matrix}\right|\begin{matrix}0\\0 \\0 \end{matrix} \right ][/tex]
The following matrix has been reduced and transformed into a set of equations.
x(1) + x(3) = 0
Subtract x(3) on both side, we get
x(1) = -x(3)
x(1) = -t
x(2) = 0
Let x(3) = t
[tex]\begin{bmatrix}x(1)\\ x(2)\\ x(3)\end{bmatrix}=\begin{bmatrix}-t\\ 0\\ t\end{bmatrix}[/tex]
There are indefinitely many solutions to the system.
[x(1), x(2), x(3)] = [-t, 0, t]
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The complete question is:
Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x1, x2, and x3 in terms of the parameter t.)
[tex]\begin{bmatrix}1 &0 &1 \\ 0 &1 &0 \\ 0 &0 & 0\end{bmatrix}[/tex]
(x1, x2, x3) =
HELPP!!
One rental store charges a one time fee of $12 plus $3 per hour to rent a power washer. A
second rental store charges $15 plus $2 per hour to rent a power washer. For what number
of hours is the rental cost the same?
Answer:
3 hours
Step-by-step explanation:
First, we need to set up an equation with a variable representing the time.
12 + 3x = 15 + 2x
Then you solve.
12 + 3x = 15 + 2x
-2x-12 -2x-12
x = 3
12. Town A has 4.563 residents.
Town A has 127 more than
4 times the number of residents
of Town B. How many residents
does Town B have?
Answer: We can set up an equation to represent the given information:
4.563 = 4B + 127
where B is the number of residents in Town B.
To solve for B, we can first subtract 127 from both sides:
4.563 - 127 = 4B
Then divide both sides by 4:
B = (4.563 - 127) / 4
B = 1.140775
So Town B has approximately 1.140775 residents.
Step-by-step explanation:
Please help me with this question.
The complete solution to the system of equations in this problem is given as follows:
x = [-14; 5; 0; 2]
How to solve the system of equations?The system Ax = b is given in augmented matrix form, hence it is defined as follows:
[tex]x_1 + 3x_2 + 2x_3 + 2x_4 = 5[/tex][tex]2x_1 + 3x_2 - 2x_3 + 10x_4 = 7[/tex][tex]4x_1 + 13x_2 + 7x_3 - 3x_4 = 3[/tex][tex]3x_1 + 9x_2 + 5x_3 + 3x_4 = 9[/tex]Inserting the system into a calculator, the homogeneous solution is given as follows:
[tex]x_1 = -14, x_2 = 5, x_3 = 0, x_4 = 2[/tex]
The system has no given inputs, hence the particular solution is of zero.
Hence the complete solution in matrix form is given as follows:
x = [-14; 5; 0; 2]
(the ; separator means a new line).
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Please help me with the following question.
The probabilities for this problem are given as follows:
a) At least five: 0.4909 = 49.09%.
b) Less than five: 0.4091 = 40.91%.
c) Between five and ten: 0.585 = 58.5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The parameters of the binomial distribution are given as follows:
n = 100, p = 0.05.
Hence the mean and the standard deviation of the approximation are given as follows:
Mean: [tex]\mu = 100 \times 0.05 = 5[/tex]Standard deviation: [tex]\sigma = \sqrt{100 \times 0.05 \times 0.95} = 2.18[/tex]Then the probability of at least five successes, using continuity correction, is P(X > 4.5), which is one subtracted by the p-value of Z when X = 4.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (4.5 - 5)/2.18
Z = -0.23.
Z = -0.23 has a p-value of 0.4091. (probability of less than five successes).
1 - 0.4091 = 0.4909 = 49.09%.
The probability of between five and ten successes is the p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 4.5, hence:
Z = (10.5 - 5)/2.18
Z = 2.52
Z = 2.52 has a p-value of 0.9941.
Z = (4.5 - 5)/2.18
Z = -0.23.
Z = -0.23 has a p-value of 0.4091.
Hence:
0.9941 - 0.4091 = 0.585 = 58.5%.
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A single card is drawn from a standard 52-card deck. What is the probability that the card is either a)a jack, or a five, or a king? b)a heart, or a club, or a spade? c)an ace, or a queen, or a heart? d)a seven, or a queen, or a heart, or a diamond?
Probability on cards.
(a) P(Jack or five or King) = 12/52 = 3/13
(b) P(heart or club or spade) = 39/52 = 3/4
(c) P(Ace or Queen or heart) = 19/52
(d) P(seven or Queen or heart or diamond) = 30/52 = 15/26
What is probability?Probability is a numerical description of how possible an event to happen. Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceA single card is drawn from a standard 52-card deck. Find the probability that the card is either
a) a Jack, or a five, or a Jing?
b) a heart, or a club, or a spade?
c) an Ace, or a Queen, or a heart?
d) a seven, or a Queen, or a heart, or a diamond?
The four suits for a standard deck of 52 cards are hearts, diamonds, clubs, and spades of 13 cards each. The hearts and diamonds are red. While, the clubs and spades are black. The 13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
The total number of events is n(S) = 52.
Let's count each number of favorable outcomes, then the probability of the event!
(a) The number of Jack is 4, five is 4, and King is 4. They are 12.
P(Jack or five or King) = 12/52 = 3/13
(b) The number of hearts is 13, clubs is 13, and spade is 13. They are 39.
P(heart or club or spade) = 39/52 = 3/4
(c) The number of hearts is 13, other Aces is 3, other Queens is 3. They are 19.
P(Ace or Queen or heart) = 19/52
(d) The number of diamonds is 13, hearts is 13, other seven is 2, other Queen is 2. They are 30.
P(seven or Queen or heart or diamond) = 30/52 = 15/26
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If x and y are positive integers x/y=2, and (x^2+y^2)=z, which of the following cannot equal z?
Step-by-step explanation:
I'm not sure if there were answer choices, but the smallest possible positive integers for x/y=2 is x=2 and y=1
If we plug those in to the other equation
(x^2+y^2)=z
(2^2+1^2)=z
(4 + 1) = z
5=z
Indicating that any number less than 5 cannot equal Z
Derrick would like to explore his area. He estimates that his walking speed is 3.5 mph in the difficult terrain he has been given. If Derrick leaves at around 12 pm, and the sun sets at 4:45 pm, how far can he explore and still make it back by sunset?
Answer:
16.625 miles
Step-by-step explanation:
The time elapsed between 4:45 pm and 12 noon is 4 hours and 45 minutes
45 minutes is equivalent to 45/60 = 0.75 hour
Total elapsed time = 4.75 hours
At a speed of 3.5 mph the distance that can be covered
= 3.5 x 4.75 = 16.625 miles
What is the area of a circle that has a circumference of 24¯?
Answer:
Below
Step-by-step explanation:
Circumf = pi * 2 r
Circumf/(2pi ) = r
area = pi r^2
= pi * (circumf/2pi)^2
= circumf^2 / 4 pi =
24^2 / (4 pi) = 45. 8 units^2
Answer:
45.84 units^2
Solve the equation.
2x² +6=-34
The solutions are x =
and x =
The solution of the equation 2x² + 6 = - 36 is x = √20i or x = -√20i, where i is equal to -1.
How to evaluate for the solution of the equation2x² + 6 = - 36
2x² = - 36 - 6 { subtract 6 from both sides of the equation }
2x² = - 40
x² = -40/2 {divide through by the coefficient of x² which is 2}
x² = -20
we take the square root of both sides
x = ± √-20
√-20 = √20 x √-1 { -1 = I an imaginary number}
so;
x = √20i or x = -√20i
Therefore, the solution of the equation 2x² + 6 = - 36 is x = √20i or x = -√20i, where i is equal to -1.
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The First and third term of geometric progression
are 5 and 80 respectively. What is the 4th term
of geometric progress.
Answer:
±320
Step-by-step explanation:
You want the 4th term of the geometric progression that has first and third terms 5 and 80.
Common ratioThe general term of a geometric sequence is ...
an = a1·r^(n-1)
for first term a1 and common ratio r.
We are given the 1st and 3rd terms, so we can find the common ratio from ...
80 = 5·r^(3-1) . . . . . use a3 = 80, a1 = 5, n = 3
16 = r^2 . . . . . . divide by 5
±4 = r . . . . . . . . take the square root
Fourth termThe 4th term will be the product of the 3rd term and the common ratio:
a4 = a3·(±4) = 80·(±4) = ±320
The fourth term is -320 or +320.
Need help ASAP will reward
Answer: 24.35333333
Step-by-step explanation:
What will it cost to make 1,580 copies if the cost of 50 copies is $2.05
Answer:
=$64.78
Step-by-step explanation:
If. 50 copies. = $2.05
than. 1,580 copies = ?
1580/50 × $2.05
=3239/50
=64.78
Therefore if the cost of 50 copies is $2.05 than the cost of 1,580 copies is $64.78.
Answer:
$64.78
Step-by-step explanation:
Proportions:
50 copies >>>> $2.05
1580 copies >>>> $C
C = 1580"2.05/504
C = 64.78
i flip a coin three times and then another three times if the number of heads is the same the first and second time i win is this game worth playing
I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. This is worth playing game.
Let's assume that player A wins if both sets of coins are fair and have an equal number of heads.
The likelihood of this = (1/8)^2 + (3/8)^2 + (3/8)^2 + (1/8)^2
The likelihood of this = 1/64 + 9/64 + 9/64 + 1/64
The likelihood of this = (1 + 9 + 9 + 1)/64
The likelihood of this = 20/64
The likelihood of this = 5/16
If the two sets are different, let's say B triumphs.
The likelihood of this = 1 - 5/16 = 11/16
Therefore, if A wins 3 dollars and loses 1 dollar, then A's predicted net gain is
= 3 × 5/16 - 1 × 11/16
= 15/16 - 11/16
= (15 - 11)/16
= 4/16
So this game is defiantly worth playing game.
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The complete question is:
I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. Is this game worth playing?
Box of clothes Weighting 10lbs (4.5kg) and a box of books weights 10lbs (4.5kg) was put on balance beam scales would most likely will it do
7 Jon is using square ceramic tiles, each 20cm x 20cm, to cover a rectangular worktop in his greenhouse. He can fit exactly 6 tiles along the shorter edge of the worktop and 15 along the length. (a) How many tiles will he use, altogether, to cover the orktop? (b) What is the length of the worktop? Give your answer in metres (m). ............m
Answer:
(a) The number of tiles Jon will use to cover the worktop is 6 * 15 = 90 tiles.
(b) To find the length of the worktop, we first need to find the length of each tile, which is 20 cm = 0.2 m.
The length of the worktop is then 0.2 m * 6 tiles = 1.2 m.
The width of the worktop is 0.2 m * 15 tiles = 3 m.
So, the length of the worktop is 1.2 m and the width is 3 m.
EASY POINTS!
What is the total cost of groceries if the state sales tax of 6.4% added $9.60 to the original cost?
$9.60
$172.93
$72.93
$159.60
Answer:
The total cost of groceries if the state sales tax of 6.4% added $9.60 to the original cost would be $159.60. To calculate this, multiply the original cost by 1.064, which is the amount of the sales tax in decimal form. For example, if the original cost was $150, then the total cost would be $150*1.064 = $159.60.
Find the area of the sector of the circle with central angle of 195° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.
Group of answer choices
23.81 cm2
166.68 cm2
27.86 cm2
83.34 cm2
Answer:
A ≈ 83.34 cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{195}{360}[/tex] ( r is the radius of the circle )
= 3.14 × 7² × [tex]\frac{13}{24}[/tex] ( cancelling by 15 )
= [tex]\frac{3.14(49)(13)}{24}[/tex]
≈ 83.34 cm² ( to the nearest hundredth )
