The relative intensity of the sound is 2.14 * 10 greater than the minimum threshold
How to determine the number of times?The loudness equation is given as
L = 10log(R)
Where
R represents the relative intensity of the sound
From the question, we have the value of R to be
R = 138
Next, we substitute 138 for R in the loudness equation L = 10log(R)
So, we have
L = 10log(138)
Evaluate the logarithmic expression
L = 10* 2.14
Rewrite as
L = 2.14 * 10
Hence, the number of times is 2.14 * 10 times
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At a festival, 380 people out of 500 people questioned say that they are camping. There are 55 300 people at the festival. Calculate an estimate of the total number of people camping at the festival.
Answer:
55800
Step-by-step explanation:
55300+500=55800
The sociology of sport journal examined the sat scores of male student athletes at ncaa division 1 institutions. the sat score is used to determine whether athletes are eligible to participate in athletics during their first year, with the ncaa requiring a minimum score of 700. suppose that sat scores of athletes on scholarship have an average of 950 and a standard deviation of 200. assuming the distribution of sat scores is approximately normal, what percentage of athletes will not be eligible their first year?
Using the properties of standard deviation , 10.56% of people will not be eligible in the first year.
A standard normal table is a mathematical representation of the values of the components of the normal distribution's cumulative distribution functions.
It is also referred to as the Z table or the unit normal table .The likelihood that a statistic will be observed below, above, between, or on the normal distribution, which comprises all normal distributions, is determined using this formula. It is common practice to transform a normal to a standard normal before using the standard normal table to calculate probabilities since there are an unlimited number of possible normal distributions, making it impossible to write probability tables for each one.Given mean = 950
SD = 200
data value = 700
Z score = (700-950) ÷ 200 = -1.25
Therefore the p-value corresponding to the z-score is : 0.1056
therefore the required percentage = 10.56%
Hence 10.56% of people will not be eligible in the first year.
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X]0,5,10,15
Y]-2,40.5,83,125.5
The slope-
Y intercept-
The equation-
Answer:
Slope is 8.5
Y intercept is -2
Equation is y = 8.5x - 2
Step-by-step explanation:
See attached image
Find the area of this irregular figure above 8ft 9ft 26ft 15ft
Answer:
The area is 426 square feet.
What is the value of the absolute value expression |−127| + |5| − |−43|?
−165
−79
89
175
Step-by-step explanation:
|127|+|5|-|-43|=127+5-43=89
Answer:89
Step-by-step explanation:
A number, double the number, and 16 are added. The result is 61. What is the original number?
ANSWER
[tex]15[/tex]EXPLANATION
Let the number be x.
If the number is doubled, it becomes:
[tex]2x[/tex]The number, double the number and 16 are added and the result is 61.
This implies that:
[tex]x+2x+16=61[/tex]Solve for x:
[tex]\begin{gathered} 3x+16=61 \\ 3x=61-16=45 \\ x=\frac{45}{3} \\ x=15 \end{gathered}[/tex]That is the number.
unit 3 lesson 1 NEED HELP ASAP!!!
Answer:
Step-by-step explanation:
For number 8 the answer is y=2x+7 because our equation is y+1=2(x+4) distribute the 2 to get y+1=2x+8 and you then do inverse operation by subtracting the 1 on both sides to get y=2x+7 and the slope intercept form is y=mx+b so that’s why
for number 9 the answer is (0,7) as to find the y-intercept, substitute in 0 for x and solve for y as y+1=2((0)+4) distribute the 2 after doing 0+4 to get y+1=8 inverse operation so subtract 1 to get 7 so that’s why it’s (0,7)
and for 10 the answer is 2x−y=−7
A rectangular room has lengths 2i and (4 - 5i). What is the Area of the rectangular room? Express your answer in standard form? (A = lw)
The area of rectangular is 10 + 8i.
Given,
A rectangular room has lengths and width are 2i and (4 - 5i) respectively.
To find the area of rectangular.
Now, According to the question :
We know that,
Area of rectangular = L x B
where,
L = Length of rectangular
B = Breadth of rectangular
Here, Length and breadth are complex numbers.
and hence, we should remember [tex]i^2[/tex] = -1
Area of Rectangular is = (4 - 5i) x 2i
=8i - 10[tex]i^2[/tex]
= 8i - 10 (-1)
= 8i + 10
Hence, The area of rectangular is 10 + 8i.
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(7x-6)
What is the value of x?
In this linear equation with one variable (7x-6), the value of x is 6/7.
How to find the value of x?The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution.
steps for finding x value:
Step 1: Add or subtract on both sides of the equation to keep the constants on one side and the variable term on the other.
Step 2: Make the constant terms simpler.
Step 3: By multiplying or dividing the variable on one side of the equation into both sides, isolate it.
Step 4: Write the solution down and simplify.
given that
7x-6 =0
7x = 6
x = 6/7
Hence the value of x is 6/7.
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Please help me i don't understand this
I am sorry if this is incorrect but the elevator started at floor 8 and
between 7 and 6 seconds it started to rise, it stopped moving at 19 seconds and 23
when it descended it stopped at floor 20
the floor rate is, 4 floors second
when -1 < k < 1, describe the effect of k on f(kx) and kf(x).
The effects of the transformations on the functions are given as follows:
-1 < k < 0: f(kx) is reflected over the y-axis and horizontally stretched.-1 < k < 0: kf(x) is reflected over the x-axis and vertically compressed.0 < k < 1: f(kx) is horizontally stretched.0 < k < 1: kf(x) is vertically compressed.What are the effects of the transformations on the functions?When one function is multiplied by a negative number, the function is reflected, either over the x-axis or over the y-axis, depending on where the multiplication happened, hence:
-1 < k < 0: f(kx) is reflected over the y-axis.-1 < k < 0: kf(x) is reflected over the x-axis.In the context of this problem, in both cases, the function is being multiplied by a number that has absolute value between 0 and 1, which can either horizontally stretch the function, in the case of function f(kx), , or vertically compress, in the case of function kf(x).
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Javier says all even numbers less than 20 are composite.
Which of the following is an even number less than 20 that is NOT composite?
How can Javier rewrite his statement so that it is true?
Answer: 2
Step-by-step explanation: 2 is less than 20 and is not composite. 2 is only divisible by one and itself.
All even numbers greater than 2 are composite.
Answer: 2
Step-by-step explanation:
2 is the only even prime number. It is less than 20 and not composite. It is divisible only by 1 and itself, as are all primes.
What is the answer to the question I really need to know asp
Answer:
hypotenuse is the answer
The coleman family purchased a camper van for $38,000. the van is predicted to depreciate by about 15% each year. write an exponential equation in the form y=a(b)x that can model the value of the van, y, in x years.
The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
In the question ,
it is given that
the present value of the camper van (P₀) = $38000
given the depreciation rate is 15% each year (r)= -0.15
The future value y ,of the camper van can be given by the formula
y = P₀*(1 + r)ˣ
On putting the values , we get
y = 38000*( 1 - 0.15)ˣ
y = 38000*(0.85)ˣ
Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
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2Over the course of 6 days, Tonda ran 17.22 miles. She ran the same distance each day. How far did Tonda run each day? Write an equation to show your work help any smart people here help me plss
Over the course of 6 days, Tonda ran 17.22 miles. She ran the same distance each day. How far did Tonda run each day?
___________________________________________________________
17.22 miles / 6 days = 2.87 miles/ day
___________________________________________________
Answer
Ronda run each day 2.87 miles
read the attachment 15 points total
Answer:
The correct answer is D. -8<535
Step-by-step explanation:
Brooklyn line‘s upright retanglar prisms like the one shown. She aligns each prism behind the previous prism to make a larger prism. The larger prism has a surface area of 1288 and squared. How many prisms does Brooklyn align? Show your work
In terms of geometry, a rectangular prism is a 3-dimensional solid shape with six faces and rectangles as its base.
Answer: The figure's surface area is 1672 [tex]cm2[/tex]. Detailed explanation: Surface area of the prism plus surface area equals the surface area of the figure.
How do you calculate a rectangular prism's surface area and volume?
Rectangular prisms have surfaces equal to the sum of their side areas, and their volumes are equal to their length times breadth times height.
Use the formula SA=2B+ph to determine a prism's surface area. SA stands for surface area, B for the prism's base area, p for the base's perimeter, and h for the height of the prism.
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an angle of size 124 degrees has been rotated degrees around a center 0. what is the size of the rotated angle? how do you?
The size of the angle after the transformation is 124 degrees
How to determine the size of the rotated angle?The transformation is described by
Rotation by degrees around a center 0
The measure of the angle is given as
Angle = 124 degrees
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)As a general rule of rotation:
When a shape, line or an angle is rotated, the size of the angle in the rotated figure remains unchanged
This means that the angle remains 124 degrees
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Find the value of x in each case.
Check the picture below.
order the numbers from least to greatest based on their absolute value. |-7|, |4|, |-2|, |3|
Answer: |-2|, |3| |4|, |-7|
Step-by-step explanation:
Very simple question: an absolute basically means you replace the sign with a positive one.
So |-7| = 7, |4| = 4, |-2| = 2, |3| = 3
Rico found a hailstone after a recent thunderstorm and calculated its volume to be 9.2 × 10
Instead of gallons, which of the following units would be most appropriate for measuring the volume of Rico's hailstone?
Omilliliters
kiloliters
cubic feet
cubic meters
gallons.
Rico found a hailstone after a recent thunderstorm and calculated its volume to be 9.2 × 10 gallons, instead of gallons, among the following units the cubic meter would be the most appropriate unit for measuring the volume of Rico's hailstone.
As Rico found a hailstone after a recent thunderstorm and calculated its volume to be 9.2 × 10 gallons.
We know that,
The hailstone is in form of a sphere.
So, the volume of the sphere will be [tex]\left(\frac{4}{3}\right) \pi r^3[/tex]
So, [tex]\text { Volume of hailstone }=\left(\frac{4}{3}\right) \pi r^3[/tex]
From above, we can conclude that,
The unit of volume of hailstone depends on the value of the radius of the hailstone. (As here the other value is 4/3 and [tex]\Pi[/tex] is constant.
The most appropriate unit for measuring the value of the radius of the hailstone is the meter.
Hence, among the given, he should use the cubic meters for measuring the volume of the hailstone.
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Factor the polynomial function over the complex numbers. f(x)=x4−x3−2x−4
(requesting an explanation as well!)
Using the Factor Theorem, the polynomial is factored as follows:
f(x) = (x - 2)(x + 1)(x² + 2).
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots(also called zeros) [tex]x_1, x_2, \codts, x_n[/tex] is given by the following rule.
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).
In this problem, the polynomial is given by:
f(x) = x^4 - x³ - 2x - 4.
This polynomial is factored applying the inverse factor theorem, finding the roots of the polynomial, which are given as follows:
x = 2.x = -1.x = -1.41i.x = 1.41i.For the complex roots, we have that 1.41² = 2, hence the term corresponding to the two complex roots is:
x² + 2.
Then the complete factored polynomial is:
f(x) = (x - 2)(x + 1)(x² + 2).
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Two similar triangles. The first triangle has a side length of 21 meters, which corresponds to the second triangle's side of 3 meters. The missing side of the first triangle corresponds to a side of 8 meters on the second triangle.
© 2017 StrongMind. Created using GeoGebra.
How many meters long is the missing side?
Note: The triangles may not be drawn to scale.
Enter your answer as a number, like this: 42
Answer:
x/8 = 21/3
x = 21/3 * 8
x = 56 m
Can somebody please help me!? I really need help
Answer:
Step-by-step explanation:
With what?
Answer:
Step-by-step explanation:
with what question
Kayla is the middle of three siblings whose ages are consecutive even integers. If the
sum of their ages is 60, find Kayla's age
Answer:
Kayla's age is 20
Step-by-step explanation:
20*3=60
The term "peer influence" is best described as when
A. a parent encourages a child to improve their health through daily activities
B. one person or more affects another persons' character, development, or behavior
C. commercials encourage teenagers to engage in risky, unsafe, or unhealthy behavior
D. the media projects false advertising to convince consumers to buy their products
The term "peer influence" is best described as when B. one person or more affects another persons' character, development, or behavior.
What is peer influence?When you decide to do something you otherwise wouldn't do because you want to feel liked and respected by your friends, that is peer influence at work. It's not just or always about being forced to do anything. Peer pressure is the influence of peers, either directly or indirectly.
In this case, people who belong to social groupings that share the same experiences, hobbies, or social standing. A person's opinions, attitudes, and conduct are more likely to be influenced by peers.
In conclusion, the correct option is B.
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Answer:
B
Step-by-step explanation:
When you decide to do something you otherwise wouldn't do because you want to feel liked and respected by your friends, that is peer influence at work. It's not just or always about being forced to do anything. Peer pressure is the influence of peers, either directly or indirectly.
i need help with my math problem look at the picture
The domain and range of the of this function C(n) = 120 + 8n, in the context of the situation is 10 ≤ n ≤ 24 and 200 ≤ C ≤ 312 respectively.
What is domain?The set of inputs a function can accept is referred to as the domain of the function in mathematics. DOM (f) or DOM f, where f is the function, may be used to indicate it.
A function f: X to Y has X as its domain, to put it more precisely. The domain of a function is not a property of it, but rather a part of the definition in contemporary mathematical terminology.
The function f can be represented graphically using the Cartesian coordinate system in the unique situation where X and Y are both subsets of R. A projection of the function's graph onto the graph's x-axis in this instance serves as the domain's representation.
We have given the function C(n) = 120 + 8n where n is no. of children going to trip which must be at least 10 and function C is the total cost trip.
If at least 10 children must go to make the trip possible, then n must be greater than 10 and the total no. of children is 24 which gives us
10 ≤ n ≤ 24, n is restricted between 10 and 24
Also, if n is at least 10, the putting the value in the function C(n) = 120 + 8n gives us
C(n) = 120 + 8(10)
= 200
Which means C must be greater or equal to 200 but we also take the condition in consideration that all students are going to the trip meaning 24 children is n, which gives us
C(n) = 120 + 8(24)
= 312
This gives us, 200 ≤ C ≤ 312, that is C is restricted between 200 and 312.
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Jasim works in a restaurant.
The table shown gives his rates of pay.
Day
Mon to Fri
Weekend
Jasim worked for a total of 30 hours last week.
He worked 12 of these hours at the weekend.
Work out Jasim's pay for last week.
Rate of pay
£8.70 per hour
£10.80 per hour
From the given table's rate, Jasim's salary for a total of 30 hours worked last week is computed as £286.2.
What does a mathematical table of data mean?Utilizing rows and columns, tables are a handy tool for information organization. Tables are a flexible organizational tool that may be used to convey information on their own or in conjunction with other types of data display (like a graph).Given:
Jasim worked 30 hours total last week.
On weekends, he worked 12 of these hours.
From the table given, we can find Jasim's pay for last week.
Number of hours worked by him from Monday to Friday = 30 -12 = 18 hours
His pay from Monday to Friday = 18 × 8.70
= £156.6
His pay on weekend = 12 × 10.80
= £129.6
Total pay of Jasim = 156.6 + 129.6
= £286.2
Therefore, Jasim's pay for a total of 30 hours worked last week is calculated as £286.2 using the given table's rate.
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What are the terms in the expression 10p + 3q + 2?
Responses
10 and 3
10 and 3
p and q
p, and , q
10p, 3q, and 2
10, p, , 3, q, , and 2
10, 3, and 2
In the expression 10p + 3q + 2 we have total three terms -
10p, 3q and 2.
What is expression in mathematics?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given in the question is a expression as follows -
10p + 3q + 2
In order to identify the number of terms in this expression, it is important to keep in mind that the terms of an expression are separated from one another by the following → + (Addition), - (Subtraction). In some cases, (equal to) '=' , (less than) '<' , (greater than) '>' are also used
There are total 3 terms as -
10p, 3q and 2.
Therefore, in the expression 10p + 3q + 2 we have total three terms -
10p, 3q and 2.
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please help me tomorrow is my exam please help
Answer:
See image
Step-by-step explanation:
A few way to represent this - mine is just one
