Answer: 12
Step-by-step explanation:
x = 2, y=12 and z =9
-7x -1/6y +2z-xy+28=
-7(2) -1/6(12) +2(9)-(2)(9)+28=
-14-12/6+18-18+28=
-14-2+28=
-(14+2)+28=
-16+28=
28-16=12
The loudness in decibels dB of a sound is defined as 10 log I/I₀ , where I is the intensity of the sound in watts per square meter (W / m²) . I₀ , the intensity of a barely audible sound, is equal to 10⁻¹²W/m². Town regulations require the loudness of construction work not to exceed 100 dB . Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65x10²W/m² . Is this explosion in violation of town regulations?
a. Which physical value do you need to calculate to answer the question?
a) The explosion does violate the town regulation
b) The two physical quantities are the I(intensity of the sound) and
[tex]I_{o}[/tex] (detectable intensity)
The values that we have been given are
L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
Putting the required value in the equation of the loudness we get
a) L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]
L = 10 * 14.217 dB = 142.17 dB
And according to the town regulation the loudness of the construction work should not exceed 100dB.
Thus the explosion is in violation of the town regulation as it exceeds 100dB.
b) the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
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helpppp pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The entries that complete the blanks are 20.39, 20.78, 21.17 and 20 + 0.39n
How to determine the total amounts?The given parameters are
Invitation = $20
Stamps = $0.39 per stamp
So, the total amount spent is calculated as
Total = Invitation + Stamps * Number stamps
This gives
Total = 20 + 0.39 * Number stamps
For stamps 1, 2, 3 and n, we have
Total = 20 + 0.39 * 1 = 20.39
Total = 20 + 0.39 * 2 = 20.78
Total = 20 + 0.39 * 3 = 21.17
Total = 20 + 0.39 n
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Given the matrices A =
2
2
3
4
B=
0
4
2
-3
C=
4
6
5
6
the matrix X in the equation (x-4b)a=c
Answer:
Hello,
Step-by-step explanation:
[tex]A=\begin{bmatrix}2 & 2 \\3 & 4 \end{bmatrix}\\\\\\B=\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}\\\\\\C=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}\\\\\\(X-4B)*A=C\\\\X-4B=C*A^{-1}\\\\X=C*A^{-1}+4B\\[/tex]
[tex]\begin{array}{|cc|cc|}A&&A^{-1}&\\---&---&---&---\\2&2&1&0\\3&4&0&1\\---&---&---&---\\1&1&\frac{1}{2}&0\\0&1&\frac{-3}{2}&1\\---&---&---&---\\1&0&2&-1\\0&1&\frac{-3}{2}&1\\---&---&---&---\\\end {array}\\\\[/tex]
[tex]X=C*A^{-1}+4B=\begin{bmatrix}4 & 6 \\5 & 6 \end{bmatrix}*\begin{bmatrix}2&-1\\\frac{-3}{2}&1\end{bmatrix}+4*\begin{bmatrix}0 & 4 \\2 & -3 \end{bmatrix}[/tex]
[tex]X=\begin{bmatrix}-1 & 2 \\1 & 1 \end{bmatrix}+\begin{bmatrix}0 & 16 \\8 & -12 \end{bmatrix}\\\\\\X=\begin{bmatrix}-1 & 18 \\9 & -11 \end{bmatrix}\\[/tex]
Part 4:
7. What is the point slope equation of line that passes throug
point (2,-3) and has the same y intercept as y = 5x + 2?
to get the equation of any straight line, we simply need two points off of it, hmmm let's take a peek at the y-intercept of the line above
[tex]y = 5x \stackrel{\stackrel{b}{\downarrow }}{+2} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies \stackrel{y-intercept}{(0~~,~~2)}[/tex]
so we're really looking for the equation of a line that passes through (2 , -3) and (0 , 2)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{2}}} \implies \cfrac{2 +3}{-2} \implies -\cfrac{ 5 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{ 5 }{ 2 }}(x-\stackrel{x_1}{2}) \implies y +3= -\cfrac{ 5 }{ 2 } (x -2)[/tex]
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
What is volume of cylinder?
Volume of cylinder is calculated as;
v = π r² h
Since, Container A has a diameter of 18 feet and a height of 9 feet.
Then, Radius = 18/2 = 9 ft
Hence, Volume of Container A = π r² h
= 3.1416 * 9 * 9 * 9
= 2,290.22 ft³
Since, Container B has a diameter of 16 feet and a height of 11 feet.
Then, Radius = 16/2 = 8 ft
Hence, Volume of Container B = π r² h
= 3.1416 * 8 * 8 * 11
= 2,211.68 ft³
After pumping all of container A into container B there will remain empty space in B = 2,290.22 - 2,211.68 = 78.5 ft³
And, The percentage for this empty space is of the entire volume is,
78.5/2,290.22 = 0.03427 *100 = 3.4 %
So, After pumping all of container A into container B there will remain empty space in B = 78.5 ft³
The percentage for this empty space is of the entire volume is = 3.4 %
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2. The translation (x, y) → (x + 3, y-7) maps TUVW onto T'U'V'W'. What translation maps
TU'V'W' onto TUVW?
O(x,y) → (x+3, y-7)
O(x,y) → (x-7, y + 3)
O(x,y) → (x+7,y-3)
O(x,y) → (x-3, y+7)
The mapping of T'U'V'W' onto TUVW is translated as follows:
(x, y) → (x - 3, y + 3)The translation:The backward translation of the mapping T'U'V'W' onto TUVW is the mapping TUVW onto TUVW.
The coordinates of the -axis move by units in the right direction during the translation (x, y) → (x - 3, y + 3), while the coordinates of the y-axis move by 3 units downward.Therefore, we must return to our original position for the mapping of T'U'V'W' onto TUVW.Reversing the mapping involves the steps listed below.
As was previously mentioned, moving all x-coordinates by 3 units in the right direction is the opposite of moving them in the opposite direction. As a result, x-3 would be the translation for the x-axis.Earlier, all y-coordinates were moved by 3 units downward; the inverse of this is an upward 3 unit move for all y-coordinates. As a result, y+3 would be the translation for the x-axis.Therefore, the mapping of T'U'V'W' onto TUVW is translated as follows:
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The complete question is given below:
The translation (x,y)(x+3,y-3) maps TUVW onto T'U'V'W. What translation maps T'U'V'W onto TUVW?
(x,y)(x+3,y-7)
(x,y)(x-7,y+3)
(x,y)(x+7,y-3)
(x,y)(x-3,y+7)
help im homschooled n nun of the teachers help
Answer:
2
Step-by-step explanation:
If Harry travels 10 and 4/10 of a mile in 5 hours on his broomstick. How far will he travel in 1 hour?
Group of answer choices
5 and ½ miles per hour
2 and 2/25 miles per hour
52 miles per hour
2 and ½ miles per hour
Answer:
2 and 2/25 miles per hour.
Step-by-step explanation:
Harry's speed = distance / time
= 10 4/10 / 5
= 104/10 * 1/5
= 104/50
= 2 4/50
= 2 2/25
A spherical water tank holds 9000 ft³ of water. What is the diameter of the tank? (Hint: (¹/₆ d³ π=V)
The diameter of the tank is 25.8 feet.
We are given the volume of water tank. Also, we are provided the formula relating volume and density.
Rewriting the formula -
V = 1/6×π×d³, where d represents the diameter. Taking the value of π as 3.14
Rewriting the formula according to diameter -
d³ = 6V/π
Keep the values in formula to find the value of diameter of water tank
d³ = 6×9000/3.14
Performing multiplication and division to find the value of diameter
d³ = 54000/3.14
Performing division to find the value of diameter of water tank
d³ = 17197.45
d = ∛17197.45
Taking square root to find the value of diameter of water tank
d = 25.8 feet
Hence, the diameter of tank is 25.8 feet.
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10x−y = 10
−2x+ 5y = −2
Answer:
x=1 & y=0
Step-by-step explanation:
HELPPPP ME NOWWWW PLEASEE
Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]
25, 8, 10, 35, 5, 45, 40, 30, 20 What is the median of the given data set?
Answer:
25
Step-by-step explanation:
Arrange numbers to ascending order :
5,8,10,20,25,30,35,40,45
Cross of the smallest and biggest number until you left with one in the middle
Multi-step k is the midpoint of _ jl , jl = 4x - 2, and jk = 7. find x, kl, and jl.
Answer:
K is the midpoint of JL, so it is halfway between J and L (see diagram). If JK is 7 units long, then so is KL. The length of the entire segment JL is 4x - 2, so
4x -2=14
Step-by-step explanation:
ILL GIVE 20 POINTS TO WHOEVER ANSWERS FIRST
I've been waiting for 2 hours
Which of the following numbers is irrational? (5 points)
negative 7 over 4 , 2 over 3 , square root of 3 , square root of 4
negative 7 over 4
2 over 3
square root of 3
square root of 4
The irrational number in this data-set is given by the square root of 3.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, such as whole numbers, or numbers in which the decimal parts are terminating or repeating.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots and also for the pi number.In this problem, we have that:
7/4 and 2/3 are fractions, hence they are rational.The square root of 3 is a non-exact square root, hence it is irrational.The square root of 4 is a exact square root, hence it is rational.Hence:
The irrational number in this data-set is given by the square root of 3.
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Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.
Answer:
In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.
Step-by-step explanation:
Is
f(x)
f(n)
f(a number)
Does all of them mean y?
Are the ratios 4:10 and 3:4 equivalent?
Answer: No
Step-by-step explanation:
In 1995, an earthquake in Mexico registered 8.0 on the Richter scale. In 2001 , an earthquake of magnitude 6.8 shook Washington state. How many times more intense was the 1995 earthquake than the 2001 earthquake?
The earthquake in 1995 was 1.2 times than the 2001 earthquake .
In 1935, American geologist Charles Richter (1900-1984) predicted the magnitude M of an earthquake is given by [tex]M=log(\frac{I}{S} )[/tex] where 'I' is the intensity of the earthquake (measured by the amplitude of the seismometer 100 km from the epicenter), 'S' is the "standard" seismic intensity whose (amplitude is 1 micron = 10 -4 cm). Standard earthquake magnitude is 0.
It is given that in 1995, an earthquake in Mexico registered 8.0 on the Richter scale and earthquake of magnitude 6.8 in Washington state.
If [tex]I_1[/tex]and [tex]I_2[/tex] are the intensities of the Mexico and Washington earthquakes, then we are required to find [tex]\frac{I_1}{I_2}[/tex]. To relate this to the definition of magnitude, we divide numerator and denominator by S
[tex]log(\frac{I_1}{I_2})=log\frac{\frac{I_1}{S} }{\frac{I_2}{S} }[/tex]
Using property of logarithm [tex]log\frac{a}{b} =loga-logb[/tex] , we get
[tex]log(\frac{I_1}{I_2})=log{\frac{I_1}{S} -log{\frac{I_2}{S} \\\\\\[/tex]
[tex]log(\frac{I_1}{I_2})=8.0-6.8\\\\log(\frac{I_1}{I_2})=1.2[/tex]
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Question 16 of 35
Henri earned $1030 a week last year. What was his yearly salary?
OA. $54,600
OB. $53,560
OC. $52,800
OD. $49,440
SUBMIT
Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is.
The probability that the sample contains 2 female voters is 0.31104
Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.
Probability that a random voter is female is 0.40(p).
Sampled voters are 6(n).
Let X be the number of females in the sampled voters.
Then,
X∼ Bin (n, p)
∼Bin (6,0.4)
Probability that the sample contains exactly 2 female voters is,
P (X =2) = 6C2 (0.4)2 (1−0.4)6−2
=0.31104
Therefore, the probability that the sample contains exactly 2 female voters is 0.31104
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There are 6 circles and 3 squares. what is the simplest ratio of squares to circles? : attempt 1 out of 2 da'kyra jordan simplifying ratios (basic) sep 26, 7:01:57 pm there are 6 circles and 3 squares. what is the simplest ratio of squares to circles?
Given that there are 6 circles and 3 squares, the simplest ratio of squares to circles is 1 : 2 or 1 to 2 or 1/2.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
It can be expressed in different ways:
1) Use the ":" to separate the values : a : b
2) Use the word "to" : a to b
3) Write it in fraction: a / b
If there are 6 circles and 3 squares. then the ratio of squares to circles can be written as:
3 : 6 or 3 to 6 or 3/6
To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.
Divide both number by 3.
3 : 6 = 1 : 2
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What is the solution to the equation+=+
x=
10
0x = //
0x = 1/5/2
0x = 1/
Ο r
Calculator
2
?
The value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
We are given the equation:
x² - 2 x + 5 = 2
We need to solve the equation to find the value of x.
For this, we will first subtract 2 from both the sides:
x² - 2 x + 5 - 2 = 2 - 2
x² - 2 x + 3 = 0
Now, we will solve for the value of x:
D = b² - 4 ac
D = (- 2)² - 4 (3)(1)
D = 4 - 12
D = - 8
√D = 2 i √2
Now putting it in quadratic formula, we get that:
x = (- b ± √D) / 2 a
x = (2 ± 2 i √2) / 2 (1)
x = 1 ± i √2
Therefore, the value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.
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Your question is incomplete. Please refer the content below:
What is the solution to the equation for x:
x² - 2 x + 5 = 2
Solve the system of equations.
y = 3x
y=x-4
Step-by-step explanation:
y=3x
y=x-4
3x=x-4
2x=4
x=2
y=3*2
y=6
(2,6)
x=2
y=6
The first term of an arithmetic sequence is 10 and the common difference is 5. Find the value of the 30th term
Answer:
Step-by-step explanation:
First term of the sequence is 10 and common difference is 3.
a
1
= 10 and d = 3
Next term = a
2
=a
1
+d=10+3=13
a
3
=a
2
+d=13+3=16
Thus, first three terms of the sequence are 10, 13 and 16.
Let 100 be the nth term of the sequence.
a
n
=a
1
+(n−1)d
100=10+(n−1)3
90=(n−1)3
n−1=30
n=31, which is a whole number.
Therefore, 100 is the 31
st
term of the sequence.
WARM UP: Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle.
The two triangles are similar triangles and the graph of the triangles are attached
Graph the coordinates of the triangle in the coordinate plane.The coordinates of the triangle are given as
A (0, 3), B (3, 3) and C (3, -1)
So, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
Multiply each coordinate by a scale factor of 3 (k=3).
Here, we have
A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)
This gives
A' (0, 9), B' (9, 9) and C' (9, -3)
Next, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
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Which length of time is between 1.45 pm and 3.10 pm ?
Answer:
Step-by-step explanation: its 1.45-3.10 and then its =1.35
ez
have a good day
1. What is the y intercept that connects all of the data points?
2. What does the y intercept represent in the context of this problem?
3. If your friend says he can get a dozen DVD's from this website for $90, is he correct?
4. How much would it cost to buy 50 DVD's from this website?
Giving Brainliest to whoever gives the correct answer
1. The y-intercept is: 12.
2. The y-intercept represent the initial cost that excluding the cost per DVD.
3. Your friend is incorrect. A dozen DVD's is gotten for $84.
4. 50 DVD's from the website would cost: $312.
How to Interpret the Y-intercept of a Line?The y-intercept is the value of the y-coordinate of the point where the line intercepts the y-axis.
The y-intercept is referred to as the starting value or initial value. At this point, x = 0.
1. First, find the slope (m) of the line using two points, (1, 18) and (2, 24):
Slope (m) = change in y/change in x = (24 - 18)/(2 - 1) = 6/1
Slope (m) = 6
Substitute m = 6 and (x, y) = (1, 18) into y = mx + b to find the y-intercept, b:
18 = 6(1) + b
18 - 6 = b
b = 12 (y-intercept)
Substitute m = 6 and b = 12 into y = mx + b:
y = 6x + 12
The y-intercept that connects all the data points is: 12.
2. The y-intercept in this context represents the initial cost that excludes the charge for each DVD.
3. Substitute x = 12 into y = 6x + 12 and solve to see if y equals 90:
y = 6(12) + 12
y = 84 [not equal to $90)]
Thus, your friend is incorrect. a dozen DVD's can be gotten for $84.
4. Substitute x = 50 into y = 6x + 12:
y = 6(50) + 12
y = 312
It would cost $312 to get 50 DVD's from the website.
The graph for the points (1, 18), (2, 24) , and (3, 33) is shown below.
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Simplify 5√12xm³
Assume x and m are nonnegative.
O 60√xm³
O 60m³√x
O 10m³√3x
O 10m√3xm
Answer:
[tex]\sf 10m\sqrt{3xm}[/tex]
Step-by-step explanation:
To simplify the expression, factorize 12. For every two items inside the square root, take one outside.
[tex]\sf 5\sqrt{12xm^3} = 5\sqrt{2*2*3*x*m*m*m}[/tex]
[tex]\sf = 5*2*m\sqrt{3xm}\\\\=10m\sqrt{3xm}[/tex]
how to do this question ¨a motorcycle travels 340 miles on 4 gallons of gas¨ and use rates and unit rates.
For one gallon of gas, it travels 85 miles.
Given a motorcycle travels 340 miles on 4 gallons of gas
We have to find the unit rate that means for one gallon of gas how much this travel.
This is known as the Unitary method.
Unitary method:
The unitary method is the method in which we need to solve the problem by first finding the value of a single unit, then we can multiply that single unit value by the necessary amount that we need.
So, given 340 miles on 4 gallons of gas per gallon, it should be
= 340/4
= 85 miles
Therefore, It travels 85 miles on one gallon of gas.
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