Answer:
[tex]\mathbf{\beta=140\ dB}[/tex]
Step-by-step explanation:
The Logarithm Function
The sound level is usually calculated as a logarithm by the formula:
[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]
Where
I = Sound intensity in W/square meter
Io = Smallest sound intensity that can be heard.
[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]
The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:
[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]
[tex]\displaystyle \beta=10*14[/tex]
[tex]\mathbf{\beta=140\ dB}[/tex]
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]
Answer:
x = - 2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
One must not divide by 0, so given function doesn't exis if the denominator is equal 0
x + 2 = 0
x = - 2
I HAVE 15 MINUTES OFFERING ALL MY POINTS
Find the value of x and y
Answer:
y = 23
x = 28
Step-by-step explanation:
Find y first.
3y + 5y - 4 = 180 The two angles are supplementary if the all the lines are parallel. Combine the left side.
8y - 4 = 180 Add 4 to both sides
8y - 4 + 4 = 180 + 4
8y = 184 Divide both sides by 8
y = 23
====================================
Now if the lines are parallel, then 3y = 2x + 13
But we already know y
3*23 = 2x + 13 Do the multiplication
69 = 2x + 13 Subtract 13
56 = 2x Divide by 2
x = 56/2
x = 28
Answer:
y = 23
x = 28
Step-by-step explanation:
Shoooooot i am so late with this answer, so so sorry haha-
and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.
uhm, have a good day!
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
£3000 is invested at 4% compound interest per annum. What is the value of the investment after 3 years?
Solve the equation using subtraction,
3x-4y=-7
3x+y=13
Answer:
Step-by-step explanation:
first question is -1
and i think the sec option is 13/3+y/3 i think im wrong on the sec option
(05.05) Which of the following inequalities matches the graph? (1 point)
Answer: Choice C. [tex]y \ge -1[/tex]
==========================================================
Explanation:
The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.
The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]
Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.
For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.
Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
To complete a planter box, mr. Michaels will purchase cedar boards that are 2 inches wide and 8 inches long. He will need to cut down the length of the boards into pieces that are 1 1/3 inches long. How many pieces can mr. Michael cit from each 8 inch board so he can determine how many he will need to purchase?
Answer:
6 pieces
Step-by-step explanation:
Since Mr. Michaels need to cut down the 8 inch long boards into pieces that are 1¹/₃ inches long, the number of pieces he can cut out from the 8 inch long board that are 1¹/₃ inches long is 8 ÷ 1¹/₃ = 8 ÷ 4/3
= 8 × 3/4
= 2 × 3
= 6
So, Mr. Michaels can cut 6 pieces that are 1¹/₃ inches long from the 2 inches wide and 8 inches long board.
BRAIN TWISTER/6TH GRADE MATH
Create (1) mathematical problem or mathematical sentence where the answer is "46". For the variables, use t = 3 and h= 5 or t and h for equations.
An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?
Answer:
1920
Step-by-step explanation:
Each time you multiply by to 6 times. 30 does not count as a year.
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
what is it plz ????????????
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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mr martin has 36 calculators in a box. The ratio of the ordinary calculators to the scientific 5:1. How many of each calculator does he have
Answer:
180 calculators.
Step-by-step explanation:
She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.
Sorry if this is wrong I tried my best.
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
Cool-Down
A meal costs $20 before tax and tip.
There is a 8% sales tax. After the tax, a 15% tip is
added.
What is the total after tax and tip?
Answer:
24.84$
Step-by-step explanation:
You multiply 20 by 0.08 which equals 1.6
then you add 20 + 1.6 which equals 21.6
then you multiply 21.6 by 0.15 which equals 3.24
24.84
Urgent please help..
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation: