Evaluate each expression if a= 12, b =9, c= -4 (a2/4b)+c
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Related Questions
TRUE OR FALSE iv. t f: if x is an eigenvector for both 2×2 matrices a and b, then x is an eigenvector for a b.
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Answer:
true
Step-by-step explanation:
<3
n2-5n+7=
Evaluate the expression when n=3
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Answer: 1
Step-by-step explanation:
Substitute 3 into N: 3^2 - 5*3 + 7
= 9 - 15 + 7
= -6 + 7
= 1
How do you solve 2^x=4.5?
Answers
The solution of the given equation is:
\(\frac{log 9}{Log 2} - 1\) = 2.16992500144
Logarithm:
Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8. Similarly, 2 = log10 100 because 102 = 100. The latter kind of logarithm (that is, the base 10 logarithm) is called the ordinary logarithm or the Briggs logarithm and simply write log n.
Invented in the 17th century to speed up calculations, logarithms greatly reduced the time required to multiply large numbers. These were the basis of numerical computation for over 300 years until the mechanical calculator of the late 19th century and his 20th century computer sophistication made it obsolete for large-scale calculations. However, the natural logarithm (with base e ≅ 2.71828 and written ln n) continues to be one of the most useful functions in mathematics, being applied to mathematical models in the physical and biological sciences.
According to the question:
2ˣ=4.5
Take the logarithm of both sides of the equation
log2ˣ = log9 / 2
x . log2 = log9 − log2
divide both sides of the equation by log 2:
\(\frac{x Log 2}{Log 2} = \frac{Log 9 - Log 2}{Log 2}\)
⇒ x = \(\frac{log 9}{Log 2} - 1\)
⇒ x = 2.16992500144.
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X/5 = -3 x=____ help
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The power 9² is equivalent to 81. What is the value of 9-2? O-81 O O O 19
HELP PLSLELSLS
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Answer:
The answer is C. 1/81
Step-by-step explanation:
What do I write????!??!!????????!!!!!
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How do you know? When substituted y = 3(2) - 4 is 2
y = 3(4) - 4 is 8
y = 3(8) - 4 is 20 not 14. So the table isn’t fully correct.
2. Do they match? No
How do you know? Because it says she walks UP the stairs not down. So -2 doesn’t make sense.
3. Do they match? Yes
How do you know? 0 means that the pile didn’t start with 6 so when you add 3 to 0, it’s 3. (duh lol)
On day 1, it starts with 6, (1)(6) = 6, and then they added 3 rocks, so it’s 9.
Day 2, twice as many rocks, so it starts with 12 now. + 3 is 15.
Day 3 starts with 18 rocks now. + 3 is 21.
Answer: Write your answers in the box, if you have spaces.
Step-by-step explanation:
find the midpoint of the segment with the endpoints (-2,-6) and (8,8)
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Answer:
(3,7)
Step-by-step explanation:
no time thank you
Answer:
The midpoint of the segment with points (-2,-6) and (8,8) is (3,1).
What is the midpoint?
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
The given points are ( -2,-6) and (8,8). The formula to calculate the midpoint is given below:-
Midpoint = ( x₁ + x ₂ ) / 2 , ( y₁ + y₂ ) / 2.
Midpoint = ( -2 + 8 ) / 2 , ( -6 + 8 ) / 2
Midpoint = (3,1)
Therefore, the midpoint of the segment with points (-2,-6) and (8,8) is (3,1).
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John is organising a trail running festival and has a budget of
$12,000 for prizes. Only the top 5 runners will get a monetary
award; the rest of competitors will just get a certificate.
He wants the award allocation to satisfy two conditions: the award amounts from fifth to first should form an arithmetic progression the athlete that arrives first should win $4,000 (one third of the budget).
Mary entered the event and finished in fourth position. How much money did she receive?
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Mary, who finished in 4th position, received $1,600.
Let x be the amount of money received by the 5th position.
Then, the amount received by each position is:
5th position: x
4th position: x + d
3rd position: x + 2d
2nd position: x + 3d
1st position: 4000
The total amount of money awarded is:
x + (x + d) + (x + 2d) + (x + 3d) + 4000 = 12000
4x + 6d = 8000
2x + 3d = 4000 --- Equation (1)
We also know that the average award from 5th to 1st position is:
(x + 4000)/2 = (4000 + 2(x + d) + (x + 3d))/5
10x + 20d = 16000 + 6x + 12d
4x + 8d = 3200
2x + 4d = 1600 --- Equation (2)
Solving equations (1) and (2), we get:
x = 800
d = 800
So, Mary, who finished in 4th position, received $1,600.
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2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
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Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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express 0.0706 to standard form
Answers
Answer: 706 x\(10^{-4}\)
It can also be written as 7.06 x \(10^{-3}\)
Answer:
Step-by-step explanation:
0.0706 * 10 (0) the zero is supposed to be on top of the 10
2y + 4(y + 1) = blank y + blank
Answers
\(2y + 4(y + 1)\)
Expand the brackets.
\(2y + 4y + 4\)
Add the like terms.
\(6y + 4\)
6y+4Answer:
6 y + 4
Step-by-step explanation:
=> 2y+4(y+1)
=> 2y+4y+4
=> 6y+4
3. In the equation y=bx+a, which variable is the slope and which is the intercept? 4. Given speed and stopping distance, which is the dependent variable, which is the independent variable? other, and the alternate hypothesis is that there will be an influence of one variable on another.
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3. In the equation y = bx + a, the variable "b" represents the slope, and "a" represents the intercept.
4. The speed is considered the independent variable .
3. In a linear equation of the form y = mx + c (where m is the slope and c is the y-intercept), the equation y = bx + a is written in a slightly different format. The variable "b" is equivalent to the slope "m" in the traditional equation, and "a" represents the intercept. The slope (b) determines the rate at which the dependent variable (y) changes with respect to the independent variable (x), while the intercept (a) represents the value of y when x is zero.
4. Given speed and stopping distance, which is the dependent variable, which is the independent variable?
In the context of speed and stopping distance, the dependent variable would typically be the stopping distance, and the independent variable would be the speed.
The dependent variable is the one that is expected to change or be influenced by the independent variable. In this case, we assume that speed affects stopping distance. As the speed of a vehicle increases, it generally takes longer to bring the vehicle to a stop, resulting in a greater stopping distance. Therefore, stopping distance depends on the speed at which the vehicle is traveling.
Consequently, the speed is considered the independent variable since it can be controlled or varied, and we expect it to have an influence on the dependent variable, which is the stopping distance.
Alternate hypothesis:
The alternate hypothesis is formulated to suggest that there is an influence of one variable on another. In this scenario, the alternate hypothesis could be: "There will be a significant influence of speed on stopping distance."
By conducting an experiment or collecting data, one could test this hypothesis statistically to determine whether speed has a significant impact on stopping distance.
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Because it only considers the worst possible outcomes, the ________________ decision criterion
has the least downside risk.
A. Laplace
B. maximin
C. minimax regret
D. maximax
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Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.
Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.
It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.
When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.
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assume that x and y are independent. what are the expected value and the standard deviation of the points per game for the player?
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The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.
Given:
In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.
From the given table:
E ( X ) = 9.5 * 5 points
= 47.5
E ( Y ) = 5.4 * - 10
= -54
E ( X + Y ) = 47.5 + ( -54 )
= 47.5 - 54
= -6.5
SD ( X ) = 12.5 * 5
= 64.5
SD ( Y ) = - 11
SD ( X + Y ) = \(\sqrt{64.5^2 + (-11)^2}\)
= 65.43
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Full question:
Is in the image uploaded.
How much the statistic varies from one sample to another is known as the ____ _____ of a statistic.
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How much a statistic varies from one sample to another is known as the sampling variability of a statistic.
Testing variability arises due to the reality that exceptional samples of the same size can produce special values of a statistic, although the samples are described from the same populace. the quantum of slice variability depends on the scale of the sample, the variety of the populace, and the unique statistic being calculated.
The end of statistical conclusion is to apply the data attained from a sample to make consequences about the population, while counting for the slice variability of the statistic. ways similar as thesis checking out and tone belief intervals do not forget the sampling variability of a statistic to make redundant accurate consequences about the populace.
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a. Assume that ????⋅????=−5,, ‖????‖=2, and ‖????‖=9. Calculate the value of 9????⋅(8????−9????).
b. Identify the vectors that are orthogonal to ????=〈1,2,1〉but not to ????=〈1,0,−1〉.
〈−3,1,1〉
〈−1,1,−1〉
〈−2,2,0〉
〈1,1,1〉
〈0,−1,2〉
c. Find the projection ????∥???? of ???? along ????, where ????∥????=x⋅????+y⋅????+z⋅????, ????=????+45???? and ????=????. x=?, y=?, z=?
Answers
None of the given vectors are orthogonal to each other.
To determine this, we can calculate the dot product of each pair of vectors. If the dot product is equal to zero, then vectors are orthogonal.
Dot product of v1 and v2:
\(v1.v2 = (1) * (-2) + (2) * (1) + (-3) * (4) = -2 + 2 - 12 = -12\)
Since the dot product of v1 and v2 is not equal to zero, v1 and v2 are not orthogonal to each other.
Dot product of v1 and v3:
\(v1 . v3 = (1) * (0) + (2) * (1) + (-3) * (1) = 0 + 2 - 3 = -1\)
Since the dot product of v1 and v3 is not equal to zero, v1 and v3 are not orthogonal to each other.
Dot product of v2 and v3:
\(v2.v3 = (-2) * (0) + (1) * (1) + (4) * (1) = 0 + 1 + 4 = 5\)
Since the dot product of v2 and v3 is not equal to zero, v2 and v3 are not orthogonal to each other.
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--The complete Question is, Suppose we have the following three vectors in three-dimensional space:
v1 = (1, 2, -3)
v2 = (-2, 1, 4)
v3 = (0, 1, 1)
Which vectors are orthogonal to each other? --
what is 30087665554 time 455344566544466544
Answers
Answer:
1.370025503 ×10^27
Step-by-step explanation:
pls help me answer thiss. I really really need help! thank u
Answers
Answer:
see explanation
Step-by-step explanation:
the centroid is where the medians intersect.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.
(3)
GF = \(\frac{1}{2}\) CG = \(\frac{1}{2}\) × 14 = 7
CF = CG + GF = 14 + 7 = 21
(4)
GD = \(\frac{1}{3}\) AD = \(\frac{1}{3}\) × 45 = 15
AG = 2 × GD = 2 × 15 = 30
(5)
GE = 2 × BG , that is
9x = 2(3x + 6) = 6x + 12 ( subtract 6x from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
The equation t= 13p + 108 can be used to estimate the cooking time t in
minutes for a stuffed turkey that weighs p pounds. Solve the equation for p.
Then find the weight of a turkey that requires 285 minutes to cook.
Answers
Answer:
Step-by-step explanation:
(285)=13p+108
177=13p
p= 13.62 lbs
Which statement best defines an angle?
Answers
Answer:
Step-by-step explanation:
An angle is defined as a figure formed by two rays with a common endpoint, called the vertex, that determines the measure of extent of the figure from one ray to the other.
Answer: An angle is a combination of two rays (half-lines) with a common endpoint.
Step-by-step explanation:
-1x + 4y <4
how to slove this
Answers
Answer: y = 1/4x + 1
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the perimeter of a rectangular pool is 326 M if the length of the pool is 87 M what is its width
Answers
Half the perimeter is equal to the length plus the width.
326 /2 = 163
Length + width = 163
87 + width = 163
Width = 163 - 87
Width = 76 meters
Find the LCM of 24,60 and 54
Answers
Answer:
1080
Step-by-step explanation:
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128
Multiples of 54:
54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188
Multiples of 60:
60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200
Therefore,
LCM(24, 54, 60) = 1080
Answer:
The LCM is 1080
Step-by-step explanation:
The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) .
In this case we have our LCM to be 1080.
if you want to round a number within an arithmetic expression, which function should you use?
Answers
If you want to round a number within an arithmetic expression, you should use the ROUND function.
The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.
The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.
Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.
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In the figure, a∥b and m∠3 = 34°.
What is the m∠7?
Enter your answer in the box. |__|
Answers
Therefore, In the figure, a∥b angle m∠7 = 34° .
What is angle ?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.
Here,
Given that a and b are parallel lines,
∠3 and ∠7 are corresponding angles and congruent
m∠3 = 34°
thus ,m∠7 =m∠3 = 34°
so, m∠7 = 34°
Therefore, In the figure, a∥b m∠7 = 34° .
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What is Three-fourths divided by one-sixth?
Answers
Answer:
\( \frac{9}{2} \)
Step-by-step explanation:
\( \frac{3}{4} \div \frac{1}{6} \)
\( \frac{3}{4} \times \frac{6}{1} \)
\( \frac{18}{4} \)
\( \frac{9}{2} \)
Divide fractions:-
\(\displaystyle\frac{3}{4} :\frac{1}{6}\)
Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-
\(\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}\)
[If necessary, divide the top & bottom by 2, and you'll have 9/2]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Solve the word problem below. Enter your answer as a fraction in simplest
terms, using the slash (/) as the fraction bar.
One week a student exercised 3 hours at school and another of an hour at
home. If of the student's total exercise came from playing basketball, how
much time did the student spend playing basketball that week? Enter your
answer in hours; do not include units in your answer.
Answers
The number of hours in a week a student played basketball is \(11\frac{3}{8}\).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, One week a student exercised 3 hours at school and another 1/4 of an hour at home.
Also given that 1/4 of the exercise of a student came from playing basketball.
Therefore, Time playing basketball is one-fourth of the total time exercised which is,
= (3 + 1/4)×(1/4).
= (13/4)×(1/4).
= (13/8).
Therefore, In a week the student played (13/8)×7.
= 91/8.
= \(11\frac{3}{8}\).
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Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on
Answers
Answer:
8 rides and 5 games
Step-by-step explanation:
2.25x+1.25y=24.25 2.25(8)+1.25(5)=24.25 18+6.25=24.25
Flora made 5 withdrawals of $85 each from her bank account. What was the overall change in her account?
The total change in her account is $
Answers
Answer:
425 $
Step-by-step explanation:
it's simple 85 X 5 making 425 dollars
If A is 3 x 3 and det A = 2, find det(A-¹ + 4 adj A). (a) 364 (b) 72⁹ (c) 365 (d) 729 (e) 365
Answers
To find det(A-¹ + 4 adj A), where A is a 3x3 matrix and det A = 2, we need to compute the determinant of the given expression. The answer can be found by substituting the values of A and evaluating the determinant.
Given that A is a 3x3 matrix and det A = 2, we can use the properties of determinants to find det(A-¹ + 4 adj A).
First, let's find the inverse of matrix A, denoted as A-¹. Since A is a 3x3 matrix, A-¹ exists if and only if det A ≠ 0. In this case, det A = 2, so A-¹ exists.
Next, let's find the adjugate of matrix A, denoted as adj A. The adjugate of A is obtained by taking the transpose of the cofactor matrix of A.
Now, we can substitute the values of A-¹ and adj A into the expression A-¹ + 4 adj A and calculate the determinant of the resulting matrix.
The determinant of the given expression det(A-¹ + 4 adj A) evaluates to 364.
Therefore, the correct answer is (a) 364.
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