Although part of your question is missing, you might be referring to this full question: Write an expression that describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. –1, 0, 1, 2, ...
The expression that describes the given sequence is: aₙ = –2 + n
This is an arithmetic sequence. Arithmetic sequence is a sequence of numbers in which every term (except the first term) is provided by adding a constant number to the previous term.
What is the formula used for arithmetic sequence?An arithmetic sequence can be defined by an explicit formula in which aₙ = d (n – 1) + c, where d is the common difference between consecutive terms, and c = a₁.
In this case, the given sequence is –1, 0, 1, 2, ...
This is an arithmetic sequence with common difference.
Because of:
0 – (–1) = 1
1 – 0 = 1
2 – 1 = 1 …
Then, a₁ = –1
Now, substitute the value of a₁ = –1, d = 1 into the formula.
aₙ = d (n – 1) + c
aₙ = 1 (n – 1) + (–1)
aₙ = n + (–2)
aₙ = –2 + n
Hence, the expression that describes the given sequence is: aₙ = –2 + n.
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Is it true m ⊥ p? Your response should be at least 3 complete sentences. Be sure to include any relevant measurements and calculations.
No, the lines are not perpendicular because Line m has a slope of 2/3 and line p has a slope of -5/3.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For two lines to be perpendicular then the slopes are reciprocal of each other.
Line m: (-3,2) (3,6)
line m: 2/3
Line p: (3,-4) (-3,6)
x₁=3 x₂=-3 y₁=-4 y₂=6
p = -5/3
Therefore,
m ⊥ p is False.
The slopes are not negative reciprocal of each other. therefore the lines are not perpendicular.
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Write the following inequality in slope-intercept form.
14x + y ≤ 18
(9 − 3) · 4
......
.
.
.
.
.
.
Answer:
24
Step-by-step explanation:
(9-3)×4
(6)×4
The answer is 24
Choose a correct sentence
a) I don’t go to work tomorrow unless I feel better
b) I will buy this car if I’ll like it
c) I’ll tell when I hear from him
d) I’m not usually attending such par
Answer: D
Step-by-step explanation: It is D because the: "'m" in: "i'm" means: I am. The: 'I'm" is referring to you.
in C, the: "i'll" means: I will. After the: "tell", it doesn't make sense because it's not referring to someone. In between the: "tell" and "I", you should include: you. Overall, it should've sounded like: I'll tell you when I hear from him.
In B, the: "i'll" means I will. If you say in starting at this POS, It would sound: I will buy this car if I will like it. this does not make sense because instead of: i'll, you should replace it with: I.
In A, the: "don't" doesn't make sense because saying starting at a POS: I don't go to work tomorrow unless I feel better. You should replace the: "don't" with: won't.
Overall, D is the most acceptable answer.
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
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.
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.
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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HELP ASAP AND THANKS! :)
The expression for the interest earned on each account and the balance after 3 years are;
1) Interest = P(1 + 0.039t)
Balance = $485.90
2) Interest = P(1.039)^(t)
Balance = $487.91
3) Interest = P(1.039)^(t)
Balance = $487.91
4) Interest = 435e^(0.039t)
Balance = $488.99
How to calculate the simple interest?We are given different formulas for interest and we are told to find the balance of each option after 3 years. Thus, we have;
1) P(1 + rt)
Where;
P is principal = $435
r is rate = 0.039
t is time = 3 years
We have;
Balance = 435(1 + (0.039 * 3))
Balance = $485.90
2) P(1 + (r/n))^(nt)
Where;
P is principal = $435
r is rate = 0.039
t is time = 3 years
n is number of times interest is compounded per year = 1 (because it is yearly)
Thus;
A = 435(1 + (0.039/1))^(3 * 1)
A = $487.91
3) Same as 2 above
4) P₀e^(rt)
where;
P₀ is principal = $435
r is rate = 0.039
t is time = 3 years
Thus;
A = 435(e^(0.039 * 3)
A = $488.99
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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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Find an equation for the conic that satisfies the given conditions. parabola, focus (2, −1), vertex (2, 5)
The equation of the parabola with focus (2, -1) and vertex (2, 5) is
[tex](x-2)^2[/tex]= -24(y - 5).
An equation of a parabola with focus ( 0, p ) and directrix y = − p is
[tex]x^2[/tex] = 4py, p < 0
Here, we have the focus = (2, -1) and vertex = (2, 5)
substituting the values in the above equation we get,
p = -1 - 5 = -6
hence, p = -6
now let us find the equation of the parabola as follows-
[tex](x-2)^2[/tex]= 4p(y - 5)
[tex](x-2)^2[/tex]= 4 (-6) (y - 5)
[tex](x-2)^2[/tex]= -24(y - 5)
Hence, the equation of the parabola with focus (2, -1) and vertex (2, 5) is
[tex](x-2)^2[/tex]= -24(y - 5).
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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
Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer.
One of the four fundamental mathematical operations is addition. The length of the missing side is 6 yd.
What exactly is addition?
Addition is one of the four basic mathematical operations, along with subtraction, multiplication, and division. The total quantity or sum of two whole numbers is obtained by adding them together.
According to the question,
All the line intersecting at right angles . So,
The lines AB, CD, and EF are parallel in the diagram, we can write the length of AB as,
AB length = EF length - CD length
= 14yd - 8yd
= 6yd
As a result, the missing side length is 6yd
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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.??
A motorboat travels 192 kilometers in 3 hours going upstream and 360 kilometers in 4 hours going downstream. What is the rate in still water and the rate of the current
To find the rate in still water, we need to find the average speed of the boat. The total distance traveled by the boat is 192 + 360 = 552 kilometers. The total time taken is 3 + 4 = 7 hours.
So, the average speed of the boat is 552/7 = 78.857 km/hr.
To find the rate of the current, we need to find the difference in speed between the upstream and downstream journeys. The difference in speed is 360/4 - 192/3 = 90 - 64 = 26 km/hr.
So, the rate of the current is 26 km/hr.
Therefore, the rate in still water is 78.857 km/hr and the rate of the current is 26 km/hr.
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
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.
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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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 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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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
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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El tercer término de una progresión
geométrica vale 80, y la razón es 4. Calcula la
suma de los cinco primeros términos
Answer:
Suma= 80 + (4 × 40) + (4 × 20) + (4 × 10) + (4 × 5)
Suma= 80 + 160 + 80 + 40 + 20
Suma= 400
Step-by-step explanation:
The sum of the first five terms of the geometric progression is 1705.
To calculate the sum of the first five terms of a geometric progression, we need to determine the first term and the common ratio. Given that the third term is 80 and the ratio is 4, we can find these values.
In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Let's denote the first term as "a" and the common ratio as "r."
Given that the third term is 80, we can write the equation:
a * r² = 80
We are also given that the ratio is 4, so we have:
r = 4
Substituting this value of r into the equation, we get:
a * (4)² = 80
a * 16 = 80
16a = 80
a = 5
Now that we have determined the first term (a = 5) and the common ratio (r = 4), we can calculate the sum of the first five terms using the formula for the sum of a geometric series:
Sum = a * (1 - rⁿ) / (1 - r)
Plugging in the values, we have:
Sum = 5 * (1 - 4⁵) / (1 - 4)
Simplifying the calculation:
Sum = 5 * (-1023) / (-3)
Sum = 1705
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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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. 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.
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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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.
To learn more about logarithm check the link below:
https://brainly.com/question/25710806
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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