Answer:
1. 5,570
2. 7,430 - 3,870 =3560
3. 0
4.15
5. 6/8 7/8
6. >
7.not equal
8.520,685
9.5
10. a-3210 b-2346
1. 6,790
2. b , c , e
3. 2
4. 3
5. 1
6.B
7. A-3 B-2
8. 7/13
9. 3/8
10. 543
A sound measures 42 dB. The intensity of a second sound is four times as great. What is the decibel level of this
second sound?
Answer:
The decibel level of this second sound is 48.021 decibels.
Step-by-step explanation:
The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)
Where:
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:
[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]
[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
The real sound intensity of the second sound is four times greater, that is:
[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]
[tex]B_{dB} = 48.021\,dB[/tex]
The decibel level of this second sound is 48.021 decibels.
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.
a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?
b) Determine the maximum height of the diver.
c) How far is the diver from the water after 2 seconds?
Answer:
a) 3/4 secb) 39 feetc) 14 feetStep-by-step explanation:
Given function:
h(t) = -16t^2 + 24t + 30a) Maximum height is the vertex of the graph. Time needed:
t = -24/2(-16) = 24/32 = 3/4 secIf we double this time then diver will pass the peak point and it doesn't double the height
b) Maximum height is at vertex:
h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feetc) Distance from water after 2 seconds:
h(2) = -16*2^2 + 24*2 + 30 = 14 feetSolve the following equations
7(3x + 5) - x = 75
Answer:
x = 2
Step-by-step explanation:
7(3x + 5) - x = 75
1. Distributive property
multiply 7 by whatever is in the parenthesis
7*3x + 7*5 - x = 75
21x + 35 - x = 75
2. Combine like terms
21x - x = 20x
20x + 35 = 75
3. Subtract 35 on both sides
20x + 35 - 35 = 75 - 35
20x = 40
4. Divide both sides by 20 since u want to isolate the variable
20x/20 = 40/20
x = 2
And thats ur answer
Hope this helped!
for Every 3 people at the concert singing along. there are 5 people not singing along. if there are 180 more people not singing along. how many total people are at the concert
Answer:
288
Step-by-step explanation:
First Divide 180/5=36. So then do 3 times 36=108. (108=People Singing, 180=People not singing). So add 108+180 to get 288.
The total number of people who attend the concert is 288.
Given that, for every 3 people at the concert singing along, there are 5 people not singing along.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Ratio of the number of people singing along at the concert to the number of people not singing along
= 3:5
Now, 3+5=8
The number of more people not singing along = 180
Let the total number of people be x
So, 5/8 × x=180
⇒ x=(180×8)/5
⇒ x=36×8
⇒ x=288
Therefore, the total number of people who attend the concert is 288.
To learn more about the ratio visit:
brainly.com/question/13419413.
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IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter
Answer:
[tex]a=\sqrt{33}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]
So a would equal whatever the square root of 33 is.
What is 6/25 as a percent
Answer:
24% yes yes yes
Answer:
24% or [tex]\frac{6}{25}[/tex]=24%
Step-by-step explanation:
We know that
[tex]\frac{6}{25}[/tex]
Is the same as
6÷25
Then, using long division gives us
0.24
Lastly, multiplying 0.24 by 100 gives us
24
Now add the percent sign
24%
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1200
Step-by-step explanation:
18/30 is the ratio of the girls compared to the class
you can simplify it to 3/5.
the equation to solve how many girls are in the school is 3/5= x/2000
cross multiply to get 5x=6000
x=1200
PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY
solve the 2 questions!
Answer:
5) we get a=6
6) we get c=8
Step-by-step explanation:
The triangles given are similar.
When the triangles are similar, the ratio of corresponding sides are also similar.
5) If c = 12, find a
We will use the ratio
[tex]\frac{30}{12}=\frac{15}{a}[/tex]
Now cross multiply to find value of a
[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]
So, we get a=6
6. If b = 6.4, find c
We will use the ratio
[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]
Now cross multiply to find value of b
[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]
So, we get c=8
PLEASE god answer this question, no one will ever answer my stuff.
If the simple interest on $6000 for 8 years is $2400, then what is the interest rate?
Answer:
there are different intrest rates, depending on where it is. but im choosing 8400
Step-by-step explanation:
A sheet of drywall is cut into quarters. Each quarter is cut into thirds. What fraction of a whole sheet is each of these small pieces?
Answer:
X/12
Step-by-step explanation:
X - whole drywall
X/4 -quarters
X/4/3=X/12 fraction of a whole sheet is each of these small pieces
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
38 yards
Step-by-step explanation:
All you have to do is add up all that yardsgained and subtract the yards lost:
32-7+15-2=38
Answer:
38
Step-by-step explanation:
32-7=25
25+15=40
40-2=38
Help me here i’ll mark you brainliest❤️
Answer:1 black 4 white
Step-by-step explanation:
It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3
So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3
A box contains 84 chocolates which 63 are dark chocolates. The rest are milk chocolates.what is the ratio of milk chocolates to the number of chocolates in the box
Answer:
21:84
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have a box with 84 chocolates
63 are dark, milk=84-63=21
21/63=1/3 is the ratio
for each 1 milk chocolate we have 3 dark chocolates
Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°
The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
Learn more about trigonometric identities here:
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I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Answer:
have a good day too
Step-by-step explanation:
What is h(x) = 7+ 10x + x2 written in vertex form?
Oh(x) = (x - 25)2 - 18
Oh(x) = (x - 5)2 + 32
h(x) = (x + 5)2 - 18
h(x) = (x + 25)2 + 32 free cookie for whoever answers
Answer:
h(x) = [tex](x+5)^{2}[/tex] -18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
I need help with this one
Answer:
60
Step-by-step explanation:
The answer of this question is 60 degree
Use the table to Solve inequality -3x < 3
Answer:
x>-1
Step-by-step explanation:
If the line you graph is exactly the same as the first one, how many solutions do you
have?
Infinitely many
1 solution
no solutions
Help ASAP.
Which is the graph of g(x) = 2^x-1 + 3?
Answer:
gave no examples.. this is what I got
Step-by-step explanation:
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type a whole number.)
A. 789÷67=
B. 789÷67=? R ?
In The answer B the reason why i put an R is because they might ask for a remainder. And plz take ur time on this i'm in no rush and plz try on this don't just be here for points hope you have an wonderful day and stay safe. <3
Answer:
11.7
Step-by-step explanation:
Answer:
What about the wink face?
Step-by-step explanation:
Find the lengths of the missing sides in the pairs of similar triangles
Answer:
x = 4
Step-by-step explanation:
The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )
10x = 40 ( divide both sides by 10 )
x = 4
pls help, basic algebra problem with guidance
Answer:
x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)
Step-by-step explanation:
The equation you were given was:
amount of solution • rate of concentration = amount of pure acid
By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.
You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:
0.18 • x = 860 mL
Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.
860 / 0.18 = x
x = 43000/9 or 4777.7
what is 7 - x - ( -5x ) - 10 + 4x
Answer: 8x−3
Step-by-step explanation:
Let's simplify step-by-step.
7−x−−5x−10+4x
=7+−x+5x+−10+4x
Combine Like Terms:
=7+−x+5x+−10+4x
=(−x+5x+4x)+(7+−10)
=8x+−3
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
8 x -3
Step-by-step explanation:
because you do the equation on math w a y
what is 15% of 80?????
Answer:
I think it´s 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
because 15% (or 0.15) times 80 equals 12.
Which inequality is NOT true if y = -5?
A 2y - 10 > 13
B
- 14 + 6y < 8
C3y +9> -15
D-24 - 4y <-3
Answer:
b
Step-by-step explanation:
Mrs. Taylor made 67 tissue holders each day. She decided to sell her tissue holders and sold out each day for four weeks. How many tissue holders did she sell?
A. 1,876 tissue holders
B. 1,866 tissue holders
C. 1,407 tissue holders
D. 670 tissue holders
Answer:
the answer would be A
Step-by-step explanation:
Answer:
A. 1,876 tissue holders
Step-by-step explanation:
What is a translation
Answer:
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Step-by-step explanation:
Answer:
A translation is converting another language into English
Step-by-step explanation:
Please urgently need answer. Thanks
Answer:
wouldnt it be d
Step-by-step explanation:
[tex]2x^{2} + 3 = 5[/tex]
Could someone please walk me through this equation?
Answer:
x = 1
Step-by-step explanation:
2x^2 + 3 = 52x^2 = 5 - 32x^2 = 2x^2 = 2/2 x = \| 1 x = 1