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The loudest animal on Earth is the blue whale. Blue whales can emit sound with an intensity of 106.8 watts/meter2. The equation
log
by the human ear, Io (approximately 1 x 10-12 watts/meter).
Based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?
A.
140 dB
B.
100 dB
C. 240 dB
D. 1,000 dB
Answer:
140 db
Step-by-step explanation:
I have succesfully finished tihs
The value is closest to the sound level of the vocalizations of a blue whale is 140dB.
We have given that,
Intensity(I)= 106.8 watts/meter^2
The intensity of sound hair by the human ear is,
[tex]I_0=1\times10^{-12}[/tex]
What is the meaning of the sound intensity?Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale
So we have given the formula
[tex]B=10 log(\frac{I}{I_0} )[/tex]
So use the given value we get
[tex]B=10 log(\frac{106.8}{1\times 10^{-12}} )[/tex]
B= 140.28 dB≈140 dB
Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.
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3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
what is equivalent to 8+3•12
Answer:
Step-by-step explanation:
There are infinity equivalent fractions to 812. See some examples: 23, 46, 69, 812, 1015, 1218, 1421, 1624, 1827, 2030, 2233, 2436, 2639, 2842, 3045, 3248, 3451, 3654, 3857, 4060...
Find the prime factorization of 120.
23 × 3 × 5
2 × 32 × 5
2 × 3 × 5
2 × 32 × 52
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
Use the domain (1/2, 1, 2, 4, 8) to plot the points on the graph for the given equation. The grid marks represent one unit,
the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = log 2 x
According to values of a function we can plot the points on a graph.
What is domain?
Domain is the value which we used to enter in a function to get the value of a function.
How to plot the points on the graph?
We have been given the domain of the function and we have to plot the value in the graph.
F(1/2)=log1=0
F(1)=log2=0.3
F(2)=log4=0.6
F(4)=log8=0.9
F(8)=log16=1.2
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giving points and brainly
Answer:
A 159.25 to the second power
Step-by-step explanation:
he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
4x + 5y = -10
4x + 3y = -22
Solve by using the method of elimination
Answer:
y=6. &. x = -10
Step-by-step explanation:
if 4x + 5y = -10
then 4x = -10 -5y. ---------->(1)
if 4x + 3y = -22
then 4x = -22 -3y. ------------>(2)
from equation (1) & (2) :
then -10 -5y = -22 -3y
then 22 -10 = 5y -3y
12 = 2y
then y=6
substituting in (1) or (2):
then. x= -10
The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?
Answer:
-5 degrees
Step-by-step explanation:
you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.
Graph the line that passes through the points (2,8) and (-5,8) and determine the equation of the line.
Answer: y=7
Step-by-step explanation:
First, graph the points, and you get a horizontal line. You see that the line is on the Y-Axis, and hits the y-axis at (0,7). Since it is horizontal, you get y=7
Please help ASAP Tysm guys!
Answer:
it would be 3
Step-by-step explanation:
g(x) = 4f(x)
Is this a vertical or a horizontal translation
Answer:
this is a vertical
Step-by-step explanation:
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. At the same restaurant, another family had a meal and the meal cost $66.00. How much would the sales tax be on a $66 meal?
Answer:
71.61
Step-by-step explanation:
hope this helps good luck
For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.
Jacob drives 8km in 12 minutes. What is his average speed (km/h) ?
Answer:
40 km/h
Step-by-step explanation:
PLz mark brainliest
16km:24mins
24km:36mins
32km:48mins
40km:60mins
Answer:
Step-by-step explanation:
8km per 12 min would be 40km/hr :)
Factor this trinomial.
x² + 3x - 4
A. (x-4)(x-1)
B. (x - 4)(x + 1)
C. (x + 4)(x + 1)
D. (x+4)(x - 1)
Answer:
(x-1)(x+4), so D.
Step-by-step explanation:
Sarah and her 4 Friends share some cookies. If each person gets 3 cookies, how many cookies were shared? Write a mathematical equation that represents this situation
PLS HELP ASAPPP I WILL BE MARKING BRAINLIEST AFTER TWO ANSWERS
Answer:
The answer is the 2nd one im pretty sure
Step-by-step explanation:
hi, its C = 3
5
Step-by-step explanation:
3x2+2
-5x - 4
2x - 7
-2x2+10
Hint: To find the perimeter of a polygon, add all the sides
Answer:
The perimeter of a 4-sided polygon: P = x²-3x+1
Step-by-step explanation:
Given the lengths of the sides of a given polygon
3x²+2-2x²+102x-7-5x-4The perimeter of a 4-sided polygon can be determined by adding the lengths of all 4 sides.
Perimeter = (3x²+2) + (-2x²+10) + (2x-7) + (-5x-4)
Remove the parentheses
=3x²+2-2x²+10+2x-7-5x-4
Group like terms
=3x²-2x²+2x-5x+2+10-7-4
Add similar elements: 3x²-2x²=x²
=x²+2x-5x+2+10-7-4
Add similar elements: 2x-5x=-3x
=x²-3x+2+10-7-4
=x²-3x+1
Therefore, the perimeter of a 4-sided polygon: P = x²-3x+1
Multiply (x+2)(x2−3x +4)
2x2−6x+8
x3+5x2+10x+8
x2−2x+6
x3−x2−2x+8
Plz help i mark brainliest
Step-by-step explanation:
Using FOIL, we have
(x + 2)(x² - 3x + 4)
= (x³ - 3x² + 4x) + (2x² - 6x + 8)
= x³ - x² - 2x + 8.
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
A bag has one red ball, three blue balls and twice as many green balls as blue balls. if one ball is drawn (without looking) from the bag what are the chances that the ball will be blue?
Answer:
3/10 or three tenths or 0.3 or 0.30
Step-by-step explanation:
Plz brainliest
Answer: 30% or 3/10
Step-by-step explanation:
First you need to figure out how many balls are in the bag. There is 1 red, 3 blue, and 2x (x=# of blue balls) green balls. since there is 3 blue balls you double 3 to get how many green balls there are, which is 6. Then you do 1+3+6 to give you 10. Since there is 3 blue balls in a bag that consists of 10 balls, you have a probability of 3/10 or 30% or .3 to draw a blue ball.
1/9x=5
solve for x
please show step by step
Answer:
x=1/45
Step-by-step explanation:
do the inverse
please mark it as brainliest!!<3
(r - 3)(3r + 6)= ? .....
Mr. Edwards purchased 3 bags of potatoes. He bought 36 potatoes in all. Each bag contains the same number of potatoes. How many potatoes are in each bag?
Answer:
12
Step-by-step explanation:
36 divided by 3 = 12
Hope This Helps
Answer:
39 or 12
Step-by-step explanation:
i got 39 by 36+3=39
i got 12 by 3 divided by 36= 12
P L S H E L P W I LL S C A M I F YO U S T EA L M Y P O I N T S
Answer:
B for sure
Step-by-step explanation:
The amount of energy used decreases by a different amount each year.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the table,
Amount of energy used.
First-year: 1,000,000
Second-year: 900,000
Third year: 810,000
Fourth-year: 792,000
The difference between the amount of energy between consecutive years.
1,000,000 - 900,000 = 100,000
900,000 - 810,000 = 90,000
810,000 - 792,000 = 18,000
We see that,
There is a different amount of energy decreasing each year.
Thus,
The amount of energy used decreases by a different amount each year.
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HEELP ASAP
1. Evaluate the following algebraic expression: 8h ÷ 12 when h=3
Step-by-step explanation:
3h ÷ 12
= but this is wt I know❤️
Answer:
8 (3) /12 = 24/12, 24/12= 2
help me with this thanks for anyone who helps! :D
Answer:
x= 90-60
x=30
Step-by-step explanation:
Answer:
30° is the answer because its a right angle
Step-by-step explanation:
can you mark me brainliest? thank you
#21 pls help!!!!! would greatly be appreciated