The function L= 10 log(I/10^-16) is a logarithmic equation
The loudness of the whisper is 40 decibels
How to determine the loudness?The function of the loudness is given as:
L= 10 log(I/10^-16)
When the intensity is 10^-12, the equation becomes
L= 10 log(10^-12/10^-16)
Evaluate the quotient
L= 10 log(10^4)
Apply the rule of logarithm
L= 10 * 4
Evaluate the product
L = 40
Hence, the loudness of the whisper is 40 decibels
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Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.
[tex]f(x)=x\sqrt{x+8}[/tex]
Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
Which expression is equivalent to 7x2/2x4.62x12, if x # 0?
OA. 26 r22
B. 13.r12/2
O C. 84x10
D. 42x12/2
C
ЖStep-by-step explanationЖ
⇒ [tex]7x^2\sqrt{2x^4}\bullet\ 6\sqrt{2x^1^2}[/tex]
[tex]=7\sqrt{2}x^4\bullet 6\sqrt{2}x^6[/tex]
[tex]=84x^1^0[/tex]
[tex]So\ choose\ C[/tex]
[tex]\{square\ root\ \}.[/tex]
I hope this helps you
:)
Help picture below problem 18
Solution :-
This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,
25° + 90° + x = 180° ( Angle sum property of a triangle )
115° + x = 180°
x = 180° - 115°
x = 65°
Thus, the measure of missing angle is 65°.
Hope that helps. :D
write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.
Answer:
f(x) = 2x3 + 4
Stretch vertically be a factor of 2:
f(x) = 2*2x3 + 4 = 4x3 + 4
Shift 5 units to the left:
f(x) = 4(x+5)3 + 4
In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at
the maximum or minimum for a continuous function?
The value of the derivative at the maximum or minimum for a continuous function must be zero.
What happens with the derivative at the maximum of minimum?So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.
Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).
If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.
So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.
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Help help help math math math
Answer:
adjacent
Step-by-step explanation:
share the same side
Answer:
adjacent
Step-by-step explanation:
How do you do this? Because I don’t get it
Answer:
5,-17
6,-21
Step-by-step explanation:
When the input goes up by 1 the output goes up by negative 4 each time
Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.
here.
Step-by-step explanation:
A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?
Answer:
Yes
Step-by-step explanation:
If there are three measurements, then it will result in a triangle.
A triangle has one side that is 6 units long and another side that is 3 units long.
Which of the following could be the length of the third side?
2 units
3 units
4 units
6 units
8 units
10 units
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
How to determine the possible length of the third side?To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
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Help!!!!!!!!!!!!!!!!!!!!
If 3^2x1 = 3^x+5, what is the value of X?
Answer:
2x + 1 = x + 5
x = 5-1
x = 4
Step-by-step explanation:
Mr. Bartley is taking the theater club on a field trip to see the musical wicked. The school treasurer asked mr. Bartley for the groups total ticket cost. He wrote the following cost function for the school treasurer: total cost = 52(25+2)
Which of the following statements could describe the cost function? Select all that apply
Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
Tickets cost $25 and each person must pay $2 for the bus. There are 52 people going
Mr. Bartley expression of the ticket cost function is an illustration of equations
The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
How to determine the true statement?The equation of the total cost is given as:
Total Cost = 52 * (25 + 2)
The above can be rewritten generally as:
Total Cost = Cost per each * (Student + Teachers)
By comparison, we have:
Cost per each = $52
Students = 25
Teachers = 2
Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip
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15+45+6+834+32453+853=
Answer: Your solution is 34206
Hope this helps you!!!!
Help me please!!!!!!!!
Answer:
p(5,4)====P'(-4,5)....
For this question, you must solve for x.
Answer:
22
Step-by-step explanation:
3x = x+44(base angle of isosceles triangle are equal)
2x = 44
x = 22
Which set of data is represented by the box plot? Interactivate: Box Plot Question 6 options: {1, 4, 6, 10, 12, 13, 17, 20, 21} {1, 4, 6, 10, 12, 14, 19, 20, 25} {4, 5, 8, 10, 15, 17, 19, 20, 25} {1, 4, 6, 7, 8, 9, 10, 12, 25}
To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
What is a Box Plot?If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.
The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.
Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.
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How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6
Answer:
x=2
y=2
Step-by-step explanation:
x+3y=8
- x-4y=-6
7y=14
y=14/7
y=2
x+3(2)=8
x+6=8
x=8-6
x=2
y=2
x=2
Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.
(x + 3)(x – 1)(x + 5)
(x – 5)(x + 3)(x – 1)
(x – 5)(x + 1)(x + 3)
(x + 5)(x + 3)(x + 1)
Step-by-step explanation:
please mark me as brainlest
In 1995 there were 501 computer viruses reported. Since then, the viruses have been replicating at a
rate of 57% per year. How many viruses are projected for the year 2021?
Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.
What is exponential growth?Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.
Here,
To solve this problem, we can use exponential growth formula:
A = P(1 + r)ˣ
where:
A = final amount
P = initial amount
r = growth rate
t = time (in years)
Let's first calculate the number of years from 1995 to 2021:
2021 - 1995 = 26 years
Using the given information, we can plug in the values into the formula:
A = 501(1 + 0.57)²⁶
A = 501(3.08)
A = 1540.68
Rounding to the nearest whole number, we get:
A ≈ 1541
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HELP ME ON THIS!!!!!
PLS ITS VERY IMPORTANT
Answer: 30 units^2
Step-by-step explanation:
[tex]\mathrm{From \ the \ figure \ we \ know \ this \ is \ a \ right \ triangle. \ The \ area \ of \ the \ triangle}:[/tex]
[tex]A = \frac{1}{2}bh \\= \frac{1}{2} \times 6 \times 10\\= 30 \ units^2[/tex]
(Formula for area of right triangle: Half of the product of two right edges)
Therefore, the area of the triangle is 30 units^2
Simpifly x + x + y x y
x+x + y * y = 2x + y²
Answer:
[tex]2x + y^{2}[/tex]
Step-by-step explanation:
[tex]\text{If a number is being added to itself, it is basically a number being multiplied by 2. }[/tex]
[tex]\rightarrow x + x[/tex]
[tex]\rightarrow \boxed{\bold{2x}}[/tex]
[tex]\text{If a number is being multiplied by itself, it is basically the number squared.}[/tex]
[tex]\rightarrow y \times y[/tex]
[tex]\rightarrow \boxed{\bold{y^{2}}}[/tex]
Thus, the simplified expression is 2x + y².
Which number is an irrational number?
A) 3.5
B) √ 36
C) √ 148
D)
37
—
100
Answer:
C) √ 148
Step-by-step explanation:
help!! i’ll mark u brainlinest
Answer:
Step-by-step explanation:
So because all straight lines are 180 degrees
180-32 = 148
Answer 148 degrees
I hope that helps!
Answer:
148
Step-by-step explanation:
If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.
x + 32 = 180
x + 32 (- 32) = 180 (- 32)
x = 148
Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)
what does Y=
what does z=
Answer:
Hope the picture will help you
A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
Help me solve this
View an example
Get more help
How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?
Answer:
Step-by-step explanation:
Use the net to determine the total surface area.
Question options:
A. 48 cm2
B. 132 cm2
C. 84 cm2
D. 120 cm2
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
[tex]\boxed{\bold{x = 2, 3}}[/tex]
Stepwise Solving:
[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]
[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]
Identify the coefficients:
a = 1b = -5c = 6Solve for x:
[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]
[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]
[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]
Help help help hemp grko
Answer:
12
Step-by-step explanation:
x-4=2(x+8)/5
let's do my favorite strategy: distributive property!
x-4=(2x+16)/5
Now we can simplify.
x-4=(2/5)x+16/5
Let's solve for x!
Subtract 2/5 from both sides
3/5)x=36/5
Now multiply both sides by 5/3, the reciprocal.
You would get 12 as x!