The probability that an account in state 4 will be in bad debt be 0.3
Given, accounts receivable have been grouped into the following states:
State 1: Paid
State 2: Bad debt
State 3: 0–30 days old
State 4: 31–60 days old
Sixty percent of all new bills are paid before they are 30 days old.
The remainder go to state 4.
Seventy percent of all 30-day-old bills are paid before they become 60 days old.
If not paid, they are permanently classified as bad debts.
P(State 1 and State 3) = 0.6
P(State 4) = 0.40
We have to find the P(State 4 and State 2)
P(State 4 and State 2) = P(State 4) + P(State 2) - P(State 4 or State 2)
P(State 4 and State 2) = 0.4 + 0.6 - 0.7
P(State 4 and State 2) = 0.3
So, the required probability be, 0.3
Hence, the required probability be, 0.3
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compute the moment generating function of the geometric(p) distribution. simplify your answer (do not leave it as an infinite series).
Moment generating function of a random variable is the expectation of a random variable. The moment generating function of the geometric(p) distribution is given by pe^{t}/ (1 - (1 - p)e^{t}.
A moment generating function can be described as
MGFₓ(t) = E( e^{tx})
For continuous x
E( e^{tx}) = ∫ₓ e^{tx}×f(x)×d(x) where f(x) is the probability density function.
For discrete x
E( e^{tx}) = ∑ₓ e^{tx}×P(x) where P(x) is the probability mass function.
A geometric distribution is a discrete probability distribution that provide us the probability that the 1st occurrence o success would need k independent trials of success probability p each. Thus probability mass function of geometric distribution is
P(X = k) = (1 - p)^{k} × p
So moment generating function can be obtained by
MGFₓ(t) = E( e^{tx}) = ∑ₓ e^{tx}×P(x)
MGFₓ(t) = ∑ₓ (e^{kt} × (1 - p)^{k} × p)
MGFₓ(t) = p×∑ₓ (e^{t} × (1 - p))^{k}
|e^{t} × (1 - p)| < 1 so applying property of sum of infinite geometric progression we have
MGFₓ(t) = p× e^{t}/ (1 - (1 - p)e^{t}
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A line passing through the points (-8, 13) and (-6, 19)
Answer:
y = 3x + 37
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 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 13 ) and (x₂, y₂ ) = (- 6, 19 )
m = [tex]\frac{19-13}{-6-(-8)}[/tex] = [tex]\frac{6}{-6+8}[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 8, 13 ) , then
13 = 3(- 8) + c = -24 + c ( add 24 to both sides )
37 = c
y = 3x + 37 ← equation of line
a family is thinking about buying a house costing 350,000. they will pay 20% down, and the rest to be amoritized over 30 years
The family monthly payment on annual interest is 1691.
What is annual interest rate?
The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment.APR stands for annual percentage rate, which takes fees into account. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate.Calculation of amount payable to the bank
Cost of House - 350000
Down payment 10% - 35000
Amount payable - 315000
]5% Annual interest rate and compounded monthly is 186.28030751
A) family monthly payment= Amount payable/Annuity factor =315000/186.28030751 =1691
B)Total interest paid on loan =293756.40
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Which math expression means "52 more than an unknown number"?
A. x + 52
B. X÷52
C. 52.x
D. x - 52
← PREVIOUS
SUBMIT
As per the statement in the question, the expression will be x + 52.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per given information in the question,
Let the unknown number is x.
The statement says that the number is more than 52.
Then, the expression according to the statement will be,
= x + 52
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A rectangular field is 60 meters wide and 100 meters long.
Give the length and width of another rectangular field that has the same perimeter but a larger area.
Answer:
80 Meters by 80 Meters
Step-by-step explanation:
Perimeter is the distance around the rectangle. 60+60+100+100 = 320
The perimeter is 320 meters.
Area = Length times width
The area would be
100x 60 = 6,000 [tex]m^{2}[/tex]
If we change the length and width to 80 meters we would have the same perimeter
80+80+80+80 = 320 Meters, but the area would be larger
Area = 80 x 80 = 6,400 [tex]m^{2}[/tex]
josh is 4 years older than 2 times kim's age. the sum of their ages is less than 25. what is the oldest kim could be? select the correct inequality for the situation, then determine the oldest age kim could be. select 2 correct answer(s) question 6 options: (4 2k) k > 25 (4 2k) k < 25 4 2k > 25 4 2k < 25 the oldest kim could be is 4. the oldest kim could be is 5. the oldest kim could be is 6. the oldest kim could be is 7.
The oldest Kim could be 7.
What is inequality?
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Here,
Given
Josh is 4 years older than 2 times Kim's age.
The sum of their ages is less than 25.
We have to find the age of Kim.
Let Kim's age be x.
Then Josh's age is (2x+4)
The total is
x + (2x+4) < 25.
Simplify and solve the inequality for x
3x + 4 < 25
3x < 25-4= 21
x < 21/3 = 7
Hence, the oldest Kim could be 7.
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Two pounds of grapes cost 6 dollars how many pounds can you buy with 1 dollar?
Step-by-step explanation:
If €2 of grapes cost $6
$1 =2/6
=€0.3
during a month with 30 days, a baseball team plays at least one game a day, but no more than 45 games. show that there must be a period of some number of consecutive days during which the team must play exactly 14 games
The period of some number of consecutive days during which the team must play exactly 14 games should be that 2 games plays at these days 1,5,10,15,20,25,30 individually....
As there are 30 days in a month.
So we have to arrange these 14 games during this time period of 30 days,
Which will be arranged as:
suppose its 1 st month of 2023,
So,
2 games at day = 1/1/2023
2 games at day = 5/1/2023
2 games at day = 10/1/2023
2 games at day = 15/1/2023
2 games at day = 20/1/2023
2 games at day = 25/1/2023
2 games at day = 30/1/2023
So from here we conduct:
2+2+2+2+2+2+2= 14 games
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(9 − 3) · 4
......
.
.
.
.
.
.
Answer:
24
Step-by-step explanation:
(9-3)×4
(6)×4
The answer is 24
The temperature of a 3.0-kg material increases by 5.0°C when 6,750 J of thermal energy are added to it. What is the specific heat of the material? J/(kg-°C)
Answer:
450J/(kg-°C)
Step-by-step explanation:
the basic stuff of temperature is 3.0kg×5.0°C ，then assumed to be x
the thermal energy was y
then it was a functions y=kx,the k was the specific heat of the material
[tex]k=\frac{6750}{15}[/tex]=450 J/kg·°C
Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week. How much does he deposit in all during the first 3 weeks?
Answer:
Step-by-step explanation:
Rick desposits 3$ into his account:
b=Rick's bank balance
b+3
The following week, he deposits 3 times that amount:
3*3=9
2nd week= b+9
Each ewek after that, he deposits 3 times the amount he did the previous week:
3rd week = b+9x3
3rd week = b+27
How much does it deposit in all during the first 3 weeks?
1st week = $3
2nd week = $9
3rd week = $27
3+9+27=39
ANSWER:Rick deposits $39 in the first 3 weeks
Answer for second question:
d=dollars
w=weeks
d=[tex]d=3^2[/tex]
"One who performs his duty without attachment, surrendering the results unto the Supreme Lord, is unaffected by sinful action, as the lotus leaf is untouched by water." - Krishna, Bhagavad Gita 5.10
Thanks, I hope I could help
Miraculous21
compute the surface integral over the given oriented surface: portion of the plane in the octant downward-pointing normal
Using the specified oriented surface, the surface integral is F=y³i+8j-xk is a downward-pointing normal is -53/60.
Given that,
We have to find using the specified oriented surface, calculate the surface integral: F=y³i+8j-xk is a downward-pointing normal that is a part of the plane x+y+z=1 in the octant x,y,z≥0.
We know that,
Finding the surface integral of [tex]\int {} \,\int\limits_s {F} \, ds[/tex]
Here,
The surface of the plane's part is x+y+z=1;
In the 1st octant, x,y,z≥0, and the oriented surface F=y³i+8j-xk.
The plane x + y + z = 1
z=1-x-y
dz/dx=-1
dz/dy=-1
So, the surface is oriented downward
dS= (dz/dzi+dz/dyj-k)dxdy
dS=(-i-j-k)dxdy
So, we get
[tex]\int {} \,\int\limits_s {F} \, ds[/tex]
[tex]\int {} \,\int\limits_s {F} \, (dz/dzi+dz/dyj-k)dxdy[/tex]
-53/60
Therefore, Using the specified oriented surface, the surface integral is F=y³i+8j-xk is a downward-pointing normal is -53/60.
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verify that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0,0) by examining the corresponding linear system.
dx/dt=(1+x)siny
dy/dt=1-x-cosy
Based on the information given in the question the (0, 2kπ) maybe the spiral point or center point of the nonlinear system. The stability of (0, 2kπ) is indeterminate.
what is differential equations?An equation comprising one or more functions and their derivatives is known as a differential equation in mathematics. A function's derivative expresses the rate of change of the function at a specific moment. It is mostly employed in the sciences of physics, engineering, and biology.
F = (1 + x) sin y = 0
G = 1 − x − cos y = 0
we know that all the critical points are (0, 2kπ), (2,(2k + 1)π). Since the F, G are
continuous differentiable, the system is almost linear near the critical points.
µ
Fx Fy Gx Gy=µsin y (1 + x) cos y−1 sin y
The linear system near critical point (2,(2k + 1)π) is
du/dt = −3v, dv/dt = −u
where u = 2 + x, v = (2k + 1)π + y. The eigenvalues of the linear system are −√3,√3,hence the critical point (2,(2k + 1)π) is saddle point and unstable. The linear system
near critical point (0, 2kπ) is
du/dt = v
dv/dt = −u, where u = x, v = 2kπ + y. The eigenvalues of the linear system are −i, i, hence the
critical point (0, 2kπ) is center point and stable of the corresponding linear system. Then (0, 2kπ) maybe the spiral point or center point of the nonlinear system. The stability of (0, 2kπ) is indeterminate.
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What is 7/4 of 2b. Hope you see this
Answer:
Step-by-step explanation:3.5 bytes
Luisa and Jacob each solve the radical equation √5+4x = x. Luisa determines that the solution is
H= 5. Jacob thinks that the solution is a = -1. Use the space below to identify which student is
correct. Use words and mathematics to justify your answer and show any work completed to make your
selection.
Answer: Luisa is correct.
Step-by-step explanation: Luisa is correct. To find the solution to the equation, we need to isolate the radical expression on one side of the equation. If we subtract x from both sides, we get √5 + 4x - x = x - x, or √5 = 0. Since the square root of any number is always positive, this equation has no solution. Therefore, the solution is H = 5.
On the other hand, if we square both sides of the equation, we get 5 + 8x + 4x^2 = x^2. If we simplify this equation, we get x^2 + 8x - 5 = 0. This equation can be solved using the quadratic formula, which gives us x = (-8 +/- sqrt(64 + 20))/2. This simplifies to x = (-8 +/- sqrt(84))/2. The solutions to this equation are x = -1 and x = 5. However, since we squared both sides of the original equation, we have to check whether these solutions actually work in the original equation. Substituting x = -1 into the original equation gives us √5 + 4(-1) = -1, or √5 = -1. This is not a valid solution, since the square root of any number is always positive. However, substituting x = 5 into the original equation gives us √5 + 4(5) = 5, or √5 = 0. This is a valid solution, since the square root of any number is always positive. Therefore, the only solution to the original equation is x = 5, which is the solution that Luisa found.
PLEASE HELP ME ILL WHOEVER ANSWER BRAINLIEST PLEASE ACTUALY ANSWER THE QUESTION NEED RIGHT ANSWER Solve. 4 1/4−1/3x=−3/4 Enter your answer in the box. x =
Answer:
-9/47
Step-by-step explanation:
[tex]4 \frac{1}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ \frac{17}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ 51x-4x=-9 \\ \\ 47x=-9 \\ \\ x=-\frac{9}{47}[/tex]
Answer:
Step-by-step explanation:
- 5/12
i did the test lol
A city council consists of 10 members. Four are Republicans, three are Democrats, and three are Independents. If a committee of three is to be selected, find the probability of selection..
1. All Republicans. Round your answer to five decimal places. ??
2. All Democrats. Round your answer to five decimal places. ??
3. One of each party. Round your answer to five decimal places. ??
4. Two Democrats and one Independent. Round your answer to five decimal places. ??
5. One Independent and two Republicans. Round your answer to five decimal places.??
. If Total assets = $34,500 and Total liabilities = $28,000, Owner's equity =
A. $5,600
OB. $65,200
O C. $6,500
O D. $62,500
Answer:
C. $6,500
Step-by-step explanation:
Owner's equity is the amount of the business's assets that are owned by the owner or shareholders. It is calculated by subtracting the total liabilities from the total assets.
Given that Total assets = $34,500 and Total liabilities = $28,000, the owner's equity is:
Owner's equity = Total assets - Total liabilities
= $34,500 - $28,000
= $6,500
Therefore, the correct answer is C. $6,500.
The sum of the kinetic and potential energy of the particles in an object is the ______ of the object.
a.Heat. b.state c.temperature. d.thermal energy
Answer: Thermal energy
Step-by-step explanation:
Thermal energy is the sum of the kinetic and potential energy of all the particles in an object.
Harry and Sally both invest $2500 for their school tuition in 3 years. Harry chooses to invest his money at bank A at 2.5%/a compounded monthly while Sally chooses to invest her money at bank B at 2.75%/a compounded quarterly. How much money will Harry and Sally have in their bank account after 3 years? Who made the best investment? Explain your answer.
Answer:
Hola cómo te llamas Hola
Which of the points below does not lie on the curve y = x² ?
A: (3/2, 9/2) B: (-1,1) C: (4,16) D: (1/2,1/4)
Answer:
Point A does not lie on the curve y = x²
Step-by-step explanation:
Given points:
[tex]\sf A: \left(\dfrac{3}{2}, \dfrac{9}{2}\right)[/tex]
[tex]\sf B: \left(-1,1 \right)[/tex]
[tex]\sf C: \left(4,16 \right)[/tex]
[tex]\sf D: \left(\dfrac{1}{2}, \dfrac{1}{4}\right)[/tex]
To determine if the given points lie on the curve y = x², simply substitute the x-value of each point into the equation and compare y-values.
Point A
[tex]\boxed{\begin{aligned}x=\dfrac{3}{2} \implies y&=\left(\dfrac{3}{2} \right)^2\\\\y&=\dfrac{3^2}{2^2}\\\\y&=\dfrac{9}{4}\end{aligned}}[/tex]
As 9/4 ≠ 9/2, point A does not lie on the curve.
Point B
[tex]\boxed{\begin{aligned}x= -1\implies y&=\left(-1 \right)^2\\y&=1\end{aligned}}[/tex]
As 1 = 1, point B does lie on the curve.
Point C
[tex]\boxed{\begin{aligned}x=4 \implies y&=\left( 4\right)^2\\y&=16\end{aligned}}[/tex]
As 16 = 16, point C does lie on the curve.
Point D
[tex]\boxed{\begin{aligned}x=\dfrac{1}{2} \implies y&=\left(\dfrac{1}{2} \right)^2\\\\y&=\dfrac{1^2}{2^2}\\\\y&=\dfrac{1}{4}\end{aligned}}[/tex]
As 1/4 = 1/4, point D does lie on the curve.
4. Here is the graph of a linear equation.
Select all true statements about the line and its equation.
A. One solution of the equation is (3,2).
B. One solution of the equation is (-1,1).
C. One solution of the equation is (1, 3/2).
D. There are 2 solutions.
E. There are infinitely many solutions.
F. The equation of the line is y=1/4x+5/4.
G. The equation of the line is y=5/4x+1/4
The true statements are
One solution of the equation is (3,2) One solution of the equation is (-1,1) One solution of the equation is (1, 3/2) There are infinitely many solutions The equation of the line is y=1/4x+5/4Consider the two points in the line
(-1, 1) and (3, 2)
The slope of the line = (2-1) / (3 -(-1))
= 1/4
The slope intercept form is
y = mx + b
2 = (1/4)3 + b
2 = 3/4 + b
b = 2 - (3/4)
b = 5/4
The equation of the line y = (1/4)x + 5/4
(3, 2) and (-1, 1) are points on the line
Consider the point (1, 3/2)
3/2 = (1/4)1 + 5/4
3/2 = 1/4 + 5/4
3/2 = 3/2
Therefore, (1, 3/2) is the solution of the line
It has infinitely many solutions
Therefore, the correct statements are statements A, B, C, E, F
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The points (-7, r) and (-3, 14) lie on a line with slope 3. Find the missing coordinate r.
The value of the missing coordinate, r as required to be determined from the given information is; r = 2.
What is the value of the missing coordinate, r?It follows from the task content that the value of the missing coordinate, r is to be determined from the task content.
On this note, since the given points are; (-7, r) and (-3, 14) and the slope of the line through them is; 3.
It follows from the slope formula;
m = (y₂ - y₁) / (x₂ - x₁) that;
3 = ( 14 - r ) / ( -3 -(-7) )
-9 + 21 = 14 - r
r = 14 + 9 - 21
r = 2.
On this note, the required value of the missing coordinate, r is; 2.
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What are the degree and leading coefficient of the polynomial?
-9-8w+3w+12w³
The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of w is 3, so the degree of the polynomial is 3.
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the leading coefficient is 12.
In summary, the polynomial -9-8w+3w+12w³ has degree 3 and leading coefficient 12.
Let a ⇑ b = a² + b². What is the value of [(3 ⇑ 1) ⇑ 2] − [3 ⇑ (1 ⇑ 2)]?
The numeric value of the expression [(3 ⇑ 1) ⇑ 2] − [3 ⇑ (1 ⇑ 2)] is given as follows:
70.
How to obtain the numeric value of the expression?The operator for this problem is given as follows:
a ⇑ b = a² + b².
Then the operations are made following the precedence of operations, due to the parenthesis, as follows:
(3 ⇑ 1) = 3² + 1² = 9 + 1 = 10.(1 ⇑ 2) = 1¹ + 2² = 1 + 4 = 5.Then the expression can be written as follows:
[(3 ⇑ 1) ⇑ 2] − [3 ⇑ (1 ⇑ 2)] = [10 ⇑ 2] − [3 ⇑ 5].
Then the operators are calculated as follows:
10 ⇑ 2 = 10² + 2² = 100 + 4 = 104.3 ⇑ 5 = 3² + 5² = 9 + 25 = 34.Finally, the subtraction is applied between these two results to obtain the numeric value of the expression, as follows:
104 - 34 = 70.
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What is the slope of the graph of y = -3x? need answer now asap
-3
3
-1/3
1/3
Answer:
Step-by-step explanation:
The slope of the graph of y = -3x is -3. The slope of a line is the amount that the line rises or falls for every unit it moves horizontally. In this case, the line rises by -3 units for every 1 unit it moves horizontally. This means that the slope of the line is -3.
Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147.000 new eases), ami the third leading cause of cancer death (with over 50.000 deaths annually). Research was done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county. Below is the least-squares regression analysis from R-Studio. Parameter estimates: What does the slope mean in the context of the problem? The correlation between obesity rates and mortality rales is (circle one): Strong Very weak Moderately strong Write the equation for the least squares regression line (make sure to use the correct variable names):
The correlation between the obesity rate and the mortality rate is moderately strong.
In math correlation is defined as the a statistical measure that expresses the extent to which two variables are linearly related
Here we have given that Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147.000 new eases), ami the third leading cause of cancer death (with over 50.000 deaths annually).
Here the Research was done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county.
And we need to find the correlation between obesity rates and mortality rates.
While we looking into the given question we have identified that the regression analysis was carried out to find the relationship between the obesity and CRC mortality rates so the response variable is mortality rate and input variable is obesity.
Therefore, the correlation is moderately stronger than the analyzed data.
Therefore, option (c) is correct.
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The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by I dB(I) = 10 log Io log() where Io is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. I = 1.58 x 108 · 10 (a) Automobile traffic, dB I = 10,800 · Io (b) Quiet conversation, dB (c) Fender guitar, dB I = 3.16 * 1011.10 (d) Jet engine, dB I = 1.58 x 1015. Io
For automobile traffic, dB=81.987657 dB.
For quiet conversation is 40.33423 dB.
For fender guitar, 115.56302 dB.
For jet engine, 151.98657 dB.
(A)
The intensity of automobile traffic is, I=1.58x10^8 I.
Given: dB=10 log (I/I0)
Substituting the value of I,
dB= 10 log (1.58x10^8 I/I)
=10 log (1.58x10^8)
Using the logarithm property,
=10 (log (1.58)+log (10^8))
=10 (log (1.58)+8 log (10)
=10( log (1.58)+8(1)
=80+1.98657
=81.98657
Thus, for automobile traffic, dB=81.987657 dB.
B)
Quiet conversation, I=10800 I0
dB= 10 log (10800 I0/I0)
=10 log (10800)
=10 log (1.08x10^4)
=10 log (1.08)+log (10^4)
=10 (log (108)+4log (10))
=10 (log (1.08+4*(1))
=40+10 log (1.08)
=40+0.33423
=40.33423 dB.
Thus, for quiet conversation is 40.33423 dB.
C)
Fender guitar, I=3.16x10^11 I0
dB= 10 log (3.16x10^11 I0/I0)
=10 (log (3.16)+11)
=110+10 log (3.16)
=110+5.56302
=115.56302
Thus, for fender guitar, 115.56302 dB.
D)
Jet engine, I=1.58x10^5 I0
dB= 10 log (1.58x10^15 I0/I0)
=10 (log (1.58)+15)
=150+10 log (1.58)
=150+1.98657
=151.98657
Thus, for jet engine, 151.98657 dB.
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Use ΔABC, shown to the right, to answer the following question.
If AK=31. What is KP??
The intersection of the two medians results in a 1:2 division. Consequently, the KP value is 15.5.
Given,
Triangle ABC is shown;
Triangle;-
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Here,
If AK = 31 and we are aware that the two medians coincide, then the division is 1:2.
Then,
KP/AK = 1/2
KP = AK / 2
KP = 31/2
KP = 15.5
Therefore,
The value of KP is 15.5 units.
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Write the following inequality in slope-intercept form.
14x + y ≤ 18