The value of m from the given equation is 37.
What is an equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The given equation is m+6=43
We need to find the value of m from the given equation.
The group of values used to replace the unknowns in an equation to make it true is known as the solution.
To solve given equation:
Transpose 6 to RHS of the equation, we get
m=43-6
Subtract 43 and 6 we get 37
So, m=37
Therefore, the value of m from the given equation is 37.
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a In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
A. 0.26
B. 0.74
C. 0.12
D. 0.48
Answer:
C. 0.12
Step-by-step explanation:
Let's use a sample number of 100
Out of 100 members, 50 are in the brass section
Out of those 50, 24% play the trombone. This means that 12 people total play the trombone.
12/100 is .12.. That is the final answer
What is S10 of the geometric sequence? Round to the nearest whole number.
8, 20, 50, 125, …
15,263
50,857
317,886
The sum of the ten terms to the nearest whole number is 50857.
How to find the sum of a geometric sequence?Using geometric sequence formula,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsr = 20 / 8 = 5 / 2
a = 8
Hence,
s₁₀ = a(rⁿ - 1) / r - 1
s₁₀ = 8((5 / 2)¹⁰ - 1) / 5 / 2 - 1
s₁₀ = 8(9535.74316406) / 1.5
s₁₀ = 50857.296875
s₁₀ = 50857
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[tex] \sqrt{7} [/tex]
multiplicative inverse (reciprocal)
Answer: [tex]\frac{\sqrt{7}}{7}[/tex]
========================================================
Explanation:
The reciprocal of x is 1/x where x is nonzero. Multiplying x with 1/x leads to 1. For example, the numbers 9 and 1/9 are multiplicative inverses of each other.
We'll stick 1 over the given square root expression. Then follow these steps to rationalize the denominator.
[tex]\frac{1}{\sqrt{7}}\\\\\\\frac{1*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\\\frac{\sqrt{7}}{(\sqrt{7})^2}\\\\\\\frac{\sqrt{7}}{7}\\\\[/tex]
In short, [tex]\frac{1}{\sqrt{7}}=\frac{\sqrt{7}}{7}[/tex]
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are:
Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL.
This problem is about pension fund management. It is to be noted that the best Feasible Capital Allocation Line (CAL) is: 0.3162.
What is Capital Allocation Line (CAL)?
A graph's capital allocation line depicts all conceivable combinations of risky and risk-free assets, allowing investors to estimate future returns depending on risk.
What is the calculation for the above solution?
It is to be noted that the optimal risky portfolio's stock percentage is determined by:
Weight of Stock = ((Return on Stock - Risk Free Rate) * Variance of bond) - ((Return on Bond - Risk Free Rate) * Co-Variance of bond & Stock)/ ((Return on Stock - Risk Free Rate) * Variance of bond + (Return on Bond - Risk Free Rate) * Variance of Stock - ((Return on Bond - Risk Free Rate + Return on Stock - Risk Free Rate + ) * Co-Variance of bond & Stock)
→ The weight of stock
= ((15% - 5.5%) * 529) - ((9% - 5.5%) * 110.40)/ ((15% - 5.5%) * 529) + (9% - 5.5%) * 1,024 - ((15% - 5.5% + 9% - 5.5%) * 110.40)
= [(50.255) * (3.864) /(50.255) + (46.08) - (14.352)]
Weight of Stock = 0.646628
Weight of Bonds = 1 - 0.646628
Weight of Bonds= 0.353372
Expected return of portfolio = 0.646628 * 15% + 0.353372 * 9%
= 12.88%
Standard Deviation of Portfolio (SDP)= (0.6466282² * 1,024 + 0.3533722² * 529 + 2 * 0.646628* 0.353372* 110.40)⁰·⁵
SDP = (544.67)⁰·⁵
SDP = 23.34%
Hence,
Best feasible CAL = (12.88% - 5.5%)/ 23.34%
Best feasible CAL = 0.3162
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Full Question
See the attached spread sheet for additional information related to the questions.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions with their resultant terms in exponential form.
137
1319
131
13-22
13-14
1315
13-7
Resultant Terms in Exponential Form
Expressions
13-11 × 1316 × 13-3 × 134 × 13-5
arrowBoth
13-21 × 13-4 × 13-5 × 1314 × 13-6
arrowBoth
1333 × 13-2 × 135 × 13-13 × 13-8
arrowBoth
130 × 1310 × 13-12 × 135 × 134
arrowBoth
The correct matching of the exponential form is given.
How to illustrate the information?1: 13^-11 × 13^16 × 13^-3 × 13^-4 × 13^-5
= 13
2. 13^-21 × 13^-4 × 13^-5 × 13^14 × 13^-6
= 13^-22
3. 13^0 × 13^10 × 13^-12 × 13^5 × 13^4
= 13^7
This illustrates the exponential form.
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What is the product?
Sr-203r-40
O 157-8
0157-8
O 15/+14-8
0152²-140-8
Find cos B, sinB,tanb
Using right triangle relations, we will get:
tan(B) = 1.05sin(B) = 0.735cos(B) = 0.7How to find the value of the trigonometric equations?
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
tan(θ) = (opposite cathetus)/(adjacent cathetus).sin(θ) = (opposite cathetus)/(hypotenuse)cos(θ) = (adjacent cathetus)/(hypotenuse).If we step on angle B, we have:
opposite cathetus = 29.4adjacent cathetus = 28hypotenuse = 40.6Replacing that, we get:
tan(B) = 29.4/28 = 1.05sin(B) = 29.4/40.6 = 0.735cos(B) = 28/40.6 = 0.7If you want to learn more about trigonometric functions:
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HELP ME PLEASE
LOOK AT IMAGE
Answer:
the answer is congruent making d midpoint
I need help with the slope
Answer:
Line A
Step-by-step explanation:
Hello!
Given that the x-values is the time in minutes, and the y-axis is the number of dishes stacked, for every minute, the line should go up by 7.
This means, that the value of y when x is 1 should be 7. The line that follows this rule is Line A. For every minute, 7 dishes are stacked.
The answer is Line A.
Select the correct answer. In right triangle ABC, b^2+c^2=34 and bc=15. What is the approximate length of side a? Note: Use the law of cosines.
(the triangle is a right triangle with an angle of 53)
Using the law of cosines, it is found that the approximate length of side a is 3.99 units.
What is the law of cosines?The law of cosines states that we can find the side c of a triangle as follows:
[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]
in which:
C is the angle opposite to side c.a and b are the lengths of the other sides.In the context of this problem, we have that side a is opposite to the angle of 53º, hence:
[tex]a^2 = b^2 + c^2 - 2bc\cos{53^\circ}[/tex]
We are given that:
b² + c² = 34.bc = 15.Then:
[tex]a^2 = 34 - 30\cos{53^\circ}[/tex]
a² = 15.95
[tex]a = \sqrt{15.95}[/tex]
a = 3.99.
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1. Is the average change in population is the same now as it was 50 years ago? Explain your answer.
HURRY PLEASE NEED IT URGENTLY!!!!!!!!!!!!
No, the average change in population is not the same as it was 50 years ago.
Reason in Support of the Answer:
In many important ways, the demographic future of the United States and the rest of the world is substantially different from the recent past. The world's average population approximately tripled between 1950 and 2010, and the U.S. population nearly doubled.
However, it is anticipated that between 2010 and 2050, both globally and in the United States, average population growth will be substantially slower and will disproportionately favor the oldest age groups. Hence it is seen that the average change in population is never constant. It depends on the demographic trends and conditions, whether the average change in population will be larger or comparatively trivial in the future. And, similarly, it can be said that the average change in population is not the same as it was 50 years ago.
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Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB
The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.
Which inequality explains why the three segments cannot be used to construct a triangle?Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.
Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.
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Answer: Option 2 or B. AC + CB < AB
Step-by-step explanation: Trust Me! It is correct on Edge!
Q: Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
A: AC + CB < AB
cual es la mitad de 980
Al aplicar operaciones de aritmética básica, tenemos que la mitad de 980 es igual a 490.
¿Cuál es la mitad de un número par?
En esta pregunta tenemos un número par de tres dígitos que termina en cero. De acuerdo con la teoría numérica, un número de base 10 de más de un dígito que tenga un número par relacionado con números impares como último dígito, tendrá un número impar si es dividido por 2.
Ahora bien, si tenemos un número par con más de un dígito que termina en cero, entonces tendrá un número par que termina en 0 si es dividido por 2.
Si dividimos 980 por 2, entonces tenemos 490 como resultado:
980/2 = 98/2 × 10 = 49 × 10 = 490
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On Monday the change in the value of one share of a companies stock can’t be represented as -$2.85 Tuesday the value of one share of the companies that changes again which of these describes a situation that would bring the total change for the two days to zero dollars
Step-by-step explanation:
If a stock's price falls all the way to zero, shareholders end up with worthless holdings. Once a stock falls below a certain threshold, stock exchanges will delist those shares.strong earning result in the stock price moving up and vice versa.
in the question you asked,the situation that will make stock price move from -$2.85 to zero means the stock, bond, or commodity market, or an index representing them, currently trades higher than it did at some specific point in the past.
Split [tex](4ax-a^2)/(x^2+ax-2a^2)[/tex] into partial fractions.
The decomposition of the partial fraction is [tex]\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}[/tex]
How to split the fraction?The expression is given as:
[tex]\frac{4ax-a^2}{x^2+ax-2a^2}[/tex]
Expand the denominator
[tex]\frac{4ax-a^2}{x^2- ax+2ax-2a^2}[/tex]
Factorize
[tex]\frac{4ax-a^2}{x(x- a)+2a(x-a)}[/tex]
Factor out x - a
[tex]\frac{4ax-a^2}{(x+ 2a)(x-a)}[/tex]
The denominator of the partial fraction is a product of two linear factors.
So, the decomposition can be represented as:
[tex]\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}[/tex]
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quick question for 40 points
explain why x squared = 16 has two solutions. What are the solutions.
Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. x - y - 3 = 0
The graph that represents the given line with slope and y-intercept is as attached below.
How to interpret Linear Graphs?
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
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find RY if RV=8 and VW=12
a car's velocity is modeled by
[tex] v(t) = 0.5t {}^{2} - 10.5t + 45 \: for\leqslant t \leqslant 10.5[/tex]
Where velocity is in feet per second and time is in seconds. When does the car come to a complete stop?
In accordance with the function velocity, the car will have a complete stop after 6 seconds.
When does the car stop?
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the quadratic formula we get the following two roots: t₁ = 15, t₂ = 6. The stopping time is the least root of the quadratic equation, that is, the car will have a complete stop after 6 seconds.
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Choose the two answers that are solutions to the equation. (X+7)^2=121
A. x=4
B. x=-18
C. x=18
D. x=-4
Answer: A. x = 4
Step-by-step explanation:
Substituting 4 for x..
(4+7)^2 = 121
(11)^2 = 121
11 * 11 = 121
which linear inequality is represented by the graph
Answer:
The correct awnser is A : )
Step-by-step explanation:
Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwise indicated. Integrate c ln(x+y)dx-x^2 dy where C is the rectangle with vertices (1,1), (3,1), (1,4), and (3,4).
Using Green's Theorem to evaluate the given line integral with the given conditions and vertices gives us; -30
How to evaluate an Integral with Green's Theorem?
The line integral of a vector-valued function along the edges of a rectangle or any other closed curve can be found by converting the line integral into a double integral. We apply Green's theorem to do this. The resulting double integral is integrated over the two-dimensional region bounded by the same closed curve.
Green's Theorem can be applied as follows:
∮_c (P.dx + Q.dy) = ∫∫_R ((dQ/dx) - (dP/dy))dA
The vertices of the rectangle (1,1), (3,1), (1,4), and (3,4).
Applying Green's Theorem to the given function gives;
∮_c (ln x + y) dx - x² dy
= ∫14∫13 Dx(-x2) -Dy(ln(x) +y) dx dy
= ∫₁⁴∫₁³ (-2x - 1) dx dy
= -3·[x² +x]₁³
= -30
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Johnny is starting a zoo. His favorite animals are lions, tigers and snakes. These are the only animals in the zoo and he has them in the ratio of 5 : 3 : 2. If he has a total of 50 animals in the zoo, how many snakes does he have?
*
The total number of snakes in the zoo is 10.
How to use ratio to find the number of snake?The number of snake can be found using ratio as follows:
The animals in the zoo are lions, tigers and snakes and he has them in the ratio of 5 : 3 : 2. The total animal is 50 animals.
Therefore,
total snakes = 2 / 10 × 50
total snakes = 100 / 10
total snakes = 10
Therefore, the total number of snakes in the zoo is 10.
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Q, Fixed a system of coordinates in the plane, conficer the curve C having equation y = (x-2)^2. The line x + y - 2 = 0 intersects C in:
(A)1 poin
(B) no point
(C) 2 points
(D) infinitely many points
3 points
Answer:
C
Step-by-step explanation:
y = (x - 2)² = x² - 4x + 4 → (1)
x + y - 2 = 0 → (2)
substitute y = x² - 4x + 4 into (2)
x + x² - 4x + 4 - 2 = 0
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
substitute these values into (2) and solve for y
x = 1 : 1 + y - 2 = 0 ⇒ y - 1 = 0 ⇒ y = 1 ⇒ (1, 1 )
x = 2 : 2 + y - 2 = 0 ⇒ y + 0 = 0 ⇒ y = 0 ⇒ (2, 0 )
the line intersects curve C at 2 points (1, 1 ) and (2, 0 )
Need help with this one
Answer: [tex]\frac{9g}{4y}[/tex]
Step-by-step explanation:
[tex]\frac{6g}{2} \times \frac{3}{4y}=\frac{18g}{8y}=\frac{9g}{4y}[/tex]
On Monday, Cinthia studied for 3 1/2 hours. On Tuesday, she studies 2/3 of her study time on Monday. How many hours did Cinthia study on Tuesday?
Answer:
Cinthia studied 2/3 of her time on Tuesday
Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x - 2)(3x + 3)
The zeros of the given function are x = 2 and x = -1
Zeros of a functionFrom the question, we are to determine the zeros of the given function
The given function is
f(x) = (x - 2)(3x + 3)
To determine the zeros of a function, we will set the function equal to zero
That is,
(x - 2)(3x + 3) = 0
Then,
x - 2 = 0 OR 3x + 3 = 0
x = 2 OR 3x = -3
x = 2 OR x = -3/3
x = 2 OR x = -1
Hence, the zeros of the given function are x = 2 and x = -1
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Evaluate ( 75 − 3/17 + 1 ) 2
Answer:
2=1289/17
Step-by-step explanation:
use the given functions to set up and simplify 2
If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m?
m < 9
m > 9
m ≤ 9
m ≥ 9
The inequality which shows all possible values of m is; m < 9.
Which inequality best shows all possible values of m?It follows from the task content that the variable in discuss, m is described as less than 9.
On this note, the most appropriate inequality to represent the set of all possible values of m is; m < 9.
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