(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then
the intensity level of sound, L, is 98.062 dB.
(b) If a rock concert has an intensity level of 112 dB, then the sound intensity, S, is [tex]10^{-0.8}\ Wm^{-2[/tex].
Sound intensity, also known as acoustic intensity, is defined as the dominion ferried by sound waves per unit area in a direction perpendicular to that area.
Given that the intensity level of sound, L, measured in decibels (dB), is a function of the sound intensity, S, watts per square meter ([tex]Wm^{-2[/tex]) as
[tex]L = 10log_{10}(S\times10^1^2), S\geq 0[/tex]
(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then
the intensity level of sound,
[tex]L = 10log_{10}(6.4\times10^{-3}\times10^1^2)[/tex]
[tex]= 10log_{10}(6.4\times10^9)\\= 10(log_{10}6.4\ +\ log_{10}10^9 )\\= 10(0.8062\ +\ 9)\\=10 \times 9.8062\\= 98.062\ dB[/tex]
(b) If a rock concert has an intensity level of 112 dB, then
[tex]112 = 10log_{10}(S\times10^1^2)\\log_{10}(S\times10^1^2) = \frac{112}{10}\\log_{10}(S\times10^1^2)= 11.2\\S\times10^1^2 = 10^{11.2}\\S = \dfrac{10^{11.2}}{10^1^2} \\S = 10^{-0.8}\ Wm^{-2[/tex]
The sound intensity is [tex]10^{-0.8} Wm^{-2[/tex].
Hence, (a) L = 98.062 dB and (b) S [tex]= 10^{-0.8}\ Wm^{-2[/tex].
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8. Given : triangle PQR and triangle TSR are right triangles , R is the midpoint of overline PT , overline PQ cong overline TS Prove : Delta PQR cong Delta TSR
By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.
We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).
Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.
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I need help plz no links
Answer:
6
Step-by-step explanation:
From the pythagorean theorem the square lenght of hypotenuse is equal to sum of square lenght of base and side
(6.5)^2 = x^2 + (2.5)
42.25 = x^2 + 6.25 subtract 6.25 from both sides
36 = x^2 and x = 6
uh i need help now pls ty
Answer:
2 and 3/4
Step-by-step explanation:
The pattern is to add 2/4 each time. to find the 6th term, add 2/4 three more times.
1 and 1/4 + 2/4 = 1 and 3/4
1 and 3/4 + 2/4 = 2 and 1/4
2 and 1/4 + 2/4 = 2 and 3/4
How do you find the domain of a function with two variables?
The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values, then combine them into a single set of restrictions.
The domain of a function with two variables is the set of all possible inputs (x-values and y-values) that make the function defined. To find the domain, first identify all of the restrictions on the x-values and y-values. These restrictions may come from the function itself, such as any values that would make the function undefined, or from outside sources, such as boundaries placed on the function’s input. Once all of the restrictions are identified, they must be combined into a single set of restrictions. This set of restrictions defines the domain. For example, if the function is defined for all x-values between 1 and 5 and all y-values between -3 and 7, then the domain is all x-values between 1 and 5 and all y-values between -3 and 7. The domain of a function with two variables is an important part of understanding how the function behaves, as it defines the range of inputs for which the function is valid.
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Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 9 hours to drain the pool by itself, how
long will it take the newer pump to drain the pool on its own?
Do not do any rounding.
help help help help help help help
The required point-slope form of the equation of the line is y - 20= -5(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-2,-20) and m=-5.
What is the slope of the line?The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.To learn more about point-slope refer to:
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please help me!! i would really appreciate it
m = ___ feet
Answer:
Step-by-step explanation:
Since it's a 45-45-90 degree triangle, the base and the leg will be the same length. So from there, you just use the Pythagorean theorem and do [tex]5^{2} +5^{2} =m^{2} \\[/tex]
[tex]50=m^{2}[/tex]
and m is [tex]5\sqrt 2[/tex]
pls help ! & i’ll give brainliest
Two friends went to a carnival. They rode carnival rides, played arcade games and bought
candy and snacks at several different concessions. Here is what the friends spent:
Jim spent the following on rides: $4, $3, $1, $1, $5, $2, $3, $1
Sara spent the following on rides: $1, $3, $1, $3, $2, $3, $5, $5, $1
Which person has a larger average?
Answer:
Sarah has a larger average
Step-by-step explanation:
to find the average of each person, you add how much they spent then divide by the total number of values in the set of each person.
24 less than z is less than 12.
Answer:
36
Step-by-step explanation:
24+12=36
One angle in a triangle measures 98°. Another angle measures 37°.
What is the measure of the third angle?
Answer:
98 + 37 = 135
180 - 135 = 45
Step-by-step explanation:
u might be asking yourself why added both of the measures .The reason why i added both of the measurements and subtracted it from 180 is that a triangle measures up to 180 if u ever hear someone talkin about an angle that measures more than 180 then that won't be a trianlge ...If u add both of the answers the will surely give u 180 if u don't believe it 98 + 37 +45 = 180
Which equation can be used to solve for the value of n if 2 + n = 12?
n = 12 – 2
n = 2 – 12
n = 12 + 2
n = 2 + 12
How many cups are in 7 liters of water? (round to 3 decimal points only, use c for
cups) *
Answer:
29.587 Happy Learning :)
What is the surface area of the following prism
Answer:
588 ft^2
Step-by-step explanation:
Lets start by making either a mental or physical list of the different sized sides on the prism. Check that the number of sides you assign to the dimensions has an overall total of six. I've made that mistake before lol it was a bit depressing.
16x6, two sides16x9, two sides6x9, two sidesthats 96 ft^2, and two sides makes it 192 ft^2thats 144 ft^2, and two sides makes it 288 ft^2thats 54 ft^2, and two sides makes it 108 ft^2We can now add all of our values up:
192 + 288 + 108 = 588 ft^2
please please please help
9514 1404 393
Answer:
a° = 52°
b° = 64°
c° = 128°
Step-by-step explanation:
a) The 52° angle and the angle marked a° both intercept the same arc, so have the same measure.
a° = 52°
__
b) The base angles of the isosceles triangle are equal. This means they are ...
b° = (180° -52°)/2 = 128°/2
b° = 64°
__
c) The arc intercepted by angle b° is twice the measure of angle b°, so is ...
c° = 2(64°)
c° = 128°
Please help this assignment is for a grade.
Answer:
the answer is d
Step-by-step explanation:
Ramona used the regression equation y =. 444x – 21. 29, where x represents height and y represents shoe size, to predict the approximate height of a man who wears a size 8. 5 shoe. 1. Y =. 444 (8. 5) minus 21. 29. 2. Y = 3. 774 minus 21. 29. 3. Y = negative 17. 52. Ramona determined that her answer was incorrect because a man who is –17. 52 inches tall does not make any sense. What was Ramona’s mistake? She substituted the 8. 5 for the wrong variable. She should have added. 444 and 8. 5. The value for y should be positive. The solution of –17. 52 should be the shoe size
Ramona’s mistake was she just substituted the 8.5 for the wrong variable.
From given conditions:
Ramona used the regression equation y = 444x - 21.29,
where x represents height and y represents shoe size,
According to Romana her answer is incorrect as a man who is -17.52 inches tall does not predict the approximate height of a man.
The 8.5 refer to shoes size, not height.
So substituting 8.5 for the x-variable is wrong, because x refers to height and y represents shoe size.
Therefore, Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.
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need help plsssssssss
Answer: y<-5x+9
Step-by-step explanation:
Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.
elsa received a $80 dollar gift card for a coffee store. she used it in buying some coffee that cost $7.52 per pound. after buying the coffee, she had $34.88 left on her card. how many pounds of coffee did she buy?
Elsa purchased 6 pounds of coffee.
What is product pricing?The process of figuring out a product's quantitative worth based on both internal and external elements is called product pricing. Product price directly affects your company's entire success, including cash flow, profit margins, and client demand.
Here is an easy example of value-based pricing. When you bring a young child to a petting zoo, she expresses a desire to feed the goats. The goat food dispenser is topped off with a quarter. From a financial standpoint, there is the price of the goat food, which is around two cents.
Calculate the total cost of all the items you bought. To calculate the cost price, divide the total cost by the quantity of units purchased. To determine the ultimate price, use the selling price formula: Cost price plus profit margin equals selling price.
Since she started with $80 and ended with with $34,88, we can find the total amount she spent by subtracting these amounts:
$80 - $34.88 = $45.12
This means that she spent $45.12 on coffee. If each pound cost $7.52, we can divide $45.12 by $752 to see how many pounds she bought (ignoring tax):
45.12 / 7.52 = 6 pounds of coffee purchased
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Solve for the variable using cross products.
3/5 = x/6
Solve for x as a decimal
Answer:
x = 3.6
Step-by-step explanation:
3/5 = x/6
multiply both sides by 6
18/5 = x
as a decimal
x = 3.6
Answer:
x = 3.6
Step-by-step explanation:
3/5 = x/6
multiply both sides by 6
18/5 = x
as a decimal
x = 3.6
hree hundred books sell for 40 dollars each, resulting in a revenue of 12,000 dollars. For each $5 increase in the price, 25 fewer books are sold. Write the revenue R as a function of the number x of $ 5 increases.
A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price. R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )
What is the revenue R as a function of number x ?Assumed in this instance is , At a price of 40 dollars apiece, [tex]$(300)(40 \$)=12,000 \$$[/tex] books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's [tex]$(300-25 x)$[/tex]. Due to the fact that the price always rises by five times more than the number of books, the cost is [tex]$(40+5 x)$[/tex].
[tex]$R=(300-25 x) \cdot(40+5 x)$[/tex]
[tex]$R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$[/tex]
The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.
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What is solvable and unsolvable problems?
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
Specify the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
Two different kinds of issues arise in TOC: - Problems that can be and can't be computed When something is "computable" (or "solvable"),
it means that it can be solved using an algorithm or a set of steps.
No method exists that can produce an output that is either "true" or "false," hence this problem is non-computable (or unsolvable).
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
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Betsy and her sister have $15 to
spend on lunch. They buy several
mini-hamburgers, which cost $1. 80
cach. If they received change after
buying their food, which inequality
could be used to find h, the number
of mini-hamburgers Betsy and her
sister bought?
A 1. 89 s 15
B 1. 8 > 15
C 1. 82 > 15
D 1. 85 < 15
Therefore, the inequality 1.85 < 15 can be used to find h.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.
Define expressions or values.When the expression's variables and constants are given values, the calculation it describes yields the expression's value. In an algebraic expression, numbers can be represented by letters.
The inequality 1.85 < 15 can be used to find h, the number of mini-hamburgers Betsy and her sister bought. This inequality represents the constraint that the total cost of the mini-hamburgers (1.85h) must be less than the amount of money they have to spend (15). To solve for h, you would divide both sides of the inequality by 1.85, giving you h < 8.1, so h can be any number less than 8.1.
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A, B & C form the vertices of a triangle.
∠ CAB = 90°, ∠ ABC = 73° and AB = 9.4
Answer:
cos37= 9.4/BC,cos37=0.8
BC= 9.4/0.8
bc = 11.75
Answer:
BC ≈ 32.2
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos73° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{9.4}{BC}[/tex] ( multiply both sides by BC )
BC × cos73° = 9.4 ( divide both sides by cos73° )
BC = [tex]\frac{9.4}{cos73}[/tex] ≈ 32.2 ( to 3 sf )
A performance score on the normally distributed WAIS Test that is higher than all but 2 percent of all scores earns an intelligence score of:
Scores earns an intelligence score of 130
What percentage of WAIS scores fall into this range?According to the 68-95-99.7 rule, 68% of persons have WAIS scores ranging from 100-15 to 100+15. WAIS scores between 85 and 115 are obtained by 99.7% of the population. As a result, 32% of adults have WAIS scores of 85 or above. Factor Analysis is a statistical process used to discover clusters of similar questions (called factors) on a test; it is used to identify multiple levels of performance that underpin one’s overall score.
The WAIS categories are shown below and are based on a mean of 100: Scores of 130 and higher are deemed talented. Scores between 120 and 129 are regarded extremely intelligent. Normal intellect is defined as a score between 110 and 119.
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Complete question is: A performance score on the WAIS that is higher than all but 2 percent of all scores earns an intelligence score of:
115.120.130.145.I need help with my final!
Answer:
it is c
Step-by-step explanation:
Guided Practice
Write an equation of a line with the given slope and y-intercept.
m = –1, b = –6
A.
y = x + 6
B.
y = –6x – 1
C.
y = –x – 6
Answer:
C.
y = –x – 6
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b
to find the slope
m
and y-intercept
b
.
Slope:
5
3
y-intercept:
( 0 , − 2 )
Write in slope-intercept form,
y = m x + b . y = 5 /3 x − 2
Graph the line using the slope and y-intercept, or two points.
Slope:
5
3
y-intercept:
(
0
,
−
2
)
x
y
0
−
2
3
3
Use the slope-intercept form
y
=
m
x
+
b
to find the slope
m
.
m
=
5
3
Use the slope-intercept form to find the slope and y-intercept.
Slope:
1
y-intercept:
( 0 , 6 )
Use the slope-intercept form to find the slope and y-intercept.
Slope:
−
6
y-intercept:
( 0 , − 1 )
Use the slope-intercept form to find the slope and y-intercept.
Slope:
−
1
y-intercept:
( 0 , − 6 )
What is 5c−3d−12c+d−6 written in simplest form?
To simplify the expression 5c−3d−12c+d−6, we can combine like terms:
5c − 12c + d − d − 6 = (-12c + d) + (-6)
Therefore, the expression 5c−3d−12c+d−6 can be simplified to -12c + d - 6.
What is the mole of H2?
One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
What is mole?A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.
The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
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Simplifying algebraic expression
4-6 = -2
x/7-6
Substitute
28/7-6
PEMDAS
28/7 = 4
4-6 = -2
(If you're looking for the expression, it's 4-6. But if straight answer, -2)
Answer:
[tex] \sf \: \frac{x}{7} - 6 = - 2[/tex]
Step-by-step explanation:
Given information,
[tex] \sf \rightarrow \: \frac{x}{7} - 6[/tex]
[tex] \sf \rightarrow \: x = 28[/tex]
Now the value of expression is,
[tex] \sf \rightarrow \: \frac{x}{7} - 6[/tex]
[tex] \sf \rightarrow \: \frac{28}{7} - 6[/tex]
[tex] \sf \rightarrow \: 4 - 6[/tex]
[tex] \sf \rightarrow \: - 2 = > final \: value[/tex]
Therefore, the answer is -2.
Simplify the radical
Answer:
The answer is in the screenshot below
Step-by-step explanation: