Answer:
m = 3
Step-by-step explanation:
Given:
[tex]2^{m-3}[/tex] = 1
Take the logarithm of both sides (logarithm of 1 is 0):
m - 3 = 0
Add 3 to both sides:
m - 3 + 3 = 0 + 3
m = 3
Hence, m = 3.
Logarithm is the power to which a number must be raised in order to get some other number. For example:
The base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. Meaning [tex]10^{2}[/tex] = 100.please help with these questions it's due tommore
7:
To find 6% of 45.50=
0.06x45.50= 2.73
and than 17% of 45.50
0.17x45.50= 7.735
so add 2.73 and 7.735= 10.465
than add 10.465 to $45.50 = $55.965 So the answer is $55.965.
8:
again the same thing but with the different numbers.
0.06x105.75= 6.345
0.20x105.75= 21.15
21.15+6.345= 27.495
so than 105.75-27.495= $78.255
9:
same thing again
146.75x0.25= 36.6875
0.09x146.75= 13.2075
But this time add the tax (13.2075)= 146.75+13.2075= 159.9575
but than you subtract the discount which is 25% so 159.9575-36.6875=123.7
So that is the price! $123.7
I hope that helps!
thickness of piece of metal in m. 0.00053
The thickness of the said metal piece is 560 micrometers
How to solveSolving this question would require us to switch the thickness of the metal from meters to micrometers.
So, 1 meter is equivalent to 1,000,000 micrometers; and when 0.00053 meters is multiplied by 1,000,000, we get:
0.00053 m * 1,000,000 = 560 µm
Consequently, the thickness of the said metal piece is 560 micrometers.
A metal piece's thickness is defined as the distance, measured perpendicular to its opposing surfaces, between those surfaces. It is a crucial aspect in determining the strength and longevity of the metal object and is often stated in length measures like millimeters, inches, or micrometers.
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What is the thickness of the metal piece in micrometers, given that it is 0.00053 meters thick?
Apply the sorted edges algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEA
The sorted edges algorithm was applied to the pentagon prism graph ABCDEA with edge weights given. The final path is starting and ending at vertex A is A-B-C-D-A-E.
The sorted edges algorithm starts by sorting the edges in ascending order of their weights. Then, starting from vertex A, the algorithm chooses the next smallest edge that connects to an unvisited vertex until all vertices have been visited.
Sort edges in ascending order
AD = 4, EA = 6, BC = 2, BD = 9, AB = 7, CE = 11, DE = 8, CA = 14, BE = 15, CD = 13
Starting at vertex A, select the next smallest edge that connects to an unvisited vertex AB = 7. Move to vertex B and select the next smallest edge that connects to an unvisited vertex BC = 2. Move to vertex C and select the next smallest edge that connects to an unvisited vertex CD = 13
Move to vertex D and select the next smallest edge that connects to an unvisited vertex AD = 4. Move to vertex A and select the next smallest edge that connects to an unvisited vertex EA = 6. Move to vertex E and all vertices have been visited. The final path is A-B-C-D-A-E.
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f(x)=x^3-3x^2+2x+2. find f(-x).
Answer:Therefore, f(-x) = -x^3 - 3x^2 - 2x + 2.
Step-by-step explanation:o find f(-x), we replace every instance of x in the function f(x) with -x:
f(-x) = (-x)^3 - 3(-x)^2 + 2(-x) + 2
Simplifying, we get:
f(-x) = -x^3 - 3x^2 - 2x + 2
Can anybody help me quick 21 points
What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?
Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.
What are informal negative sanctions?Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.
In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.
While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.
In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.
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Hey I was wondering if anyone can help me solve this and maybe graph it to.
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.
The equation of the circle is determined as (x + 3)² + (y - 9)² = 25.
What is the equation of the circle?The equation of the circle is calculated as follows;
For the equation;
y = 3/4x+5
Slope = 3/4, the slope of the line perpendicular to the line = -4/3.
it is pass through the (0, 5).
The equation of the line: y - 5 = -4x/3
For the equation;
3x + 4y = 38
4y = -3x + 38
y = -3x/4 + 38
slope = -3/4, the slope of the line perpendicular to the line = 4/3
it is pass through the (6, 5)
The equation of the line: y - 5 = 4/3(x - 6)
Solve the two equations together to find the point of intersection;
(-4/3)x + 5 = (4/3)(x - 6) + 5
-4x/3 = 4x/3 - 8
8x/3 = -8
8x = -24
x = -3
y - 5 = -4x/3
y - 5 = -4(-3)/3
y - 5 = 4
y = 9
The center of the circle = (-3, 9)
The radius of the circle is calculated as;
r = √ (-3 -0)² + (9 - 5)²
r = √(9 + 16)
r = 5
The equation of the circle becomes;
(x - a )² + (y - b)² = r²
(x + 3)² + (y - 9)² = 5²
(x + 3)² + (y - 9)² = 25
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In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
We have to given that;
In triangle ABC,
AB=32, AC= 22, and BC= 20
Hence, We can formulate;
⇒ sin A = BC / AB
⇒ sin A = 20 / 32
⇒ sin A = 0.625
⇒ A = 38.68 degree
Thus, The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
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What’s the correct answer for problem 16???
The values of x and y of the given transverse lines are:
x = 44.25° and y = 7.25°
How to find the missing angle on the line?We know that there are different classification of angles such as:
Corresponding angles
Alternate angles
Opposite angles
Supplementary angles
Complementary angles
Now, we also know that sum of angles on a straight line is 180 degrees. Thus:
5x - 9y - 16 = 140
5x - 9y = 156 -----(1)
We also know that alternate angles are defined as two angles, that are formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on the opposite relative sides of the other lines. If the two lines crossed are parallel, then the alternate angles are equal.
Thus:
3x + y = 5x - 9y - 16
2x - 10y - 16 = 0
2x - 10y = 16 ----(2)
Solving simultaneously gives us:
x = 44.25° and y = 7.25°
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HELP ASAP!! 15 POINTS!!
Based on the information, we can infer that the correct graph/table is option D.
How to identify the correct table/chart?To identify the correct chart or table, we must identify the information about the data that Emily uses each year. She uses 360GB each year, in this case, to identify the relationship we must divide the amount of data she uses by the number of months she has in a year:
360GB / 12 months = 30 GB/month
In accordance with the above, we must identify the table or graph that represents this relationship. In this case it would be table D because it shows an increasing relationship of 1 month with 30gb, 2 months with 60gb, 3 months with 90gb, 4 months with 120gb, and so on.
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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
9ft
Step-by-step explanation:
From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.
it's 9ft
its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9
Choose one of the topics below for your paragraph.
1. Write a paragraph about a trend that interests you and why it is popular. Give sentences
(Paragraph)
● For example, consider a trend in cars, food, or technology. Give sentences (Paragraph)
2. Write a paragraph about a popular TV program. Give sentences (Paragraph)
Who usually watches the program? Give sentences (Paragraph)
Why is it popular? Give sentences (Paragraph)
●
Answer:
1. A trend that gives me interest is the 1, 2 buckle my shoes 3, 4 buckle some more- The reason is why does it even exist and why did it get so popular is such a fast amount of time, and the way people get distracted on technology which we are using all over the world and it takes us away from the real world and makes us stay there.
2. Cocaine Bear it looks good and funny, I watched it with all my friends and they all enjoyed it with me.
Step-by-step explanation:
Helppp
The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years?---------
Using the exponential decay equation, we can see that after 1000 years we will have 178.43 mg of Ra₂₂₆
How much will remain after 1000 years?The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:
N(t) = N₀ * (1/2)^(t / T)
where:
N(t) is the amount of the substance remaining after time t
N₀ is the initial amount of the substance
t is the time elapsed
T is the half-life of the substance
Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.
N(1000) = 500 * (1/2)^(1000 / 1590)
N(1000) ≈ 178.43 mg
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Is c = 3 a solution to the inequality below?
122 c
yes
no
The value c = 3 is not a solution to the inequality
Checking if c = 3 is a solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
122 c
Express properly
So, we have
1 ≥ c
When this inequality is rewriiten. we have
c ≤ 1
This means that the values of c do not exceed 1
The number 3 exceeds 1
So, it means that c = 3 is not a solution to the inequality
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Which expression is not equivalent to 2/3×4
The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)
How to multiply fractions?The correct procedure that we will use to multiply fractions is:
- find a common denominator
- multiply the numerators
- multiply the denominators
- Simplify if necessary.
- Add the numerators and add the denominators
Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:
(2 x 1/3) + (4 x 1/3) = 6/3 = 2
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Complete question is:
Which expression is NOT equivalent to 2/3 x 4
A (2x4) /3
B 1/3 x (2x4)
C (4 x 1/3) x 2
D (2 x 1/3) + (4 x 1/3)
what are the answers to these questions?
a) The function of h in terms of r is h=1400/(πr²).
b) The surface area of the can in terms of r is 2800/r+2πr².
c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.
a) The volume of a cylinder is given by
V = πr²h.
In this case, the volume of the can is
1400 cm³
So we have
1400 = πr²h.
Solving for h, we get
h = 1400/(πr²).
b) The surface area of a cylinder is given by
A = 2πrh+2πr².
Using the expression we obtained for h in part (a), we can substitute it in the equation and get
A = 2πr(1400/(πr²))+2πr²
= 2800/r+2πr².
c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:
dA/dr = -2800/r²+4πr = 0.
Solving for r, we get
r = √(700/π), which is approximately 14.04 cm.
Substituting this value in the expression for h that we obtained in part (a), we get
h = 1400/(π(14.04)²), which is approximately 2.98 cm.
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if an avocado is 1$ per pound how many is it for 9 pounds?
If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.
What is multiplication?Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication involves the multiplicand, the multiplier, and the product.
The cost per pound of an avocado = $1
The total quantity considered = 9 pounds
Proportionately, the total cost of 9 pounds = $9 ($1 x 9)
Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.
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On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?
Answer:
78°F
Step-by-step explanation:
If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:
75.5°F + 6°F = 81.5°F
If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:
81.5°F - 3.5°F = 78°F
Therefore, the temperature on Monday was 78°F.
What is the product? -4x [8 -1 -5 g]
The resulting matrix after the product is given as follows:
[-32 4 20].
What happens when a matrix is multiplied by a constant?When a matrix is multiplied by a constant, we have that every element in the matrix is multiplied by the constant. Hence, the dimension of the matrix remains constant.
The parameters for this problem are given as follows:
Constant of -4.Matrix [8 -1 -5].Hence the products are:
-4 x 8 = -32.-4 x -1 = 4.-4 x -5 = 20.Then the resulting matrix after the product is given as follows:
[-32 4 20].
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in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN
The value of angle JKN is 73°.
Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.
So we need to find the value of ∠JKN,
So, using the angles addition postulate,
∠LKM = ∠LKN + ∠MKN
Therefore,
∠LKN = 66/2 [definition of bisector]
∠LKN = 33°
Again, using the angles addition postulate,
∠JKM = ∠JKL + ∠LKM
∠JKL = 106 - 66
∠JKL = 40°
Therefore,
∠JKN = ∠JKL + ∠LKN
∠JKN = 40 + 33
∠JKN = 73°
Hence, the value of angle JKN is 73°.
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Find the length of the missing side
Answer:
x = 45°
Because there are 180° in a triangle
Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.
The solution to the given equation is ( 8 , 1 )
Given data ,
To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:
x - 3y = 5: 8 - 3(1) = 5, which is true
y = x - 7: 1 = 8 - 7, which is true
Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:
Hence , (8, 1) is a solution to both equations, so it is a solution to the system
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you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm
The rectangular block of wax can make approximately 2 candles.
How do we determine the number of candles that could be made by that block of wax?To calculate the number of candles, we use the formula
V of wax = l x w x h = 10 cm x 9 cm x 20 cm = 1800 cubic cm
V of candle = l x w x h = 9 cm x 9 cm x 12 cm = 972 cubic cm
1800 / 972 = 1.85
The above answer is based on the full question below;
you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm.
The height of the candle is 12cm and the base width is 9cm
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PLEASE HURRY
Let u = - 4i + 2j , v = 3i - j and w = - 6j
Find the specified scalar or vector
5u(3v - 4w)
The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.
We can begin by distributing the scalar 5 to the vector 3v - 4w:
5u(3v - 4w) = 5u(3v) - 5u(4w)
Next, we can find the scalar multiples:
5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)
5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)
Now we can substitute these values back into the original expression:
5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)
Simplifying:
5u(3v - 4w) = -420i + 250j
Therefore, 5u(3v - 4w) = -420i + 250j.
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the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false
Since the line splits the square into two regions with equal area, it goes through center of square.
Equation of line through point (12,12)
with slope 5
y−12=5(x−12)
y=5x−2
y-intercept=(0,−2)
Since line passes through points (0.4,0)
and (0.6,1)
it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2
trapezoids with height =1
and bases =0.4
and 0.6
. Therefore, they have the same area.
8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False
Answer:
FALSSOO
Step-by-step explanation:
lol srry I pretty sure its false I did teh math
Hope its right and it helps! c:
(x+3) (x-1)squared
????
Answer:
x^3 + x^2 - 5x + 3
What is the domain of g(x)=log(7x−10)?
The domain of g(x) = log (7x - 10) is all real numbers greater than 10/7.
Set-builder notation: x > 10/7. Interval notation: (10/7,∞)
What is the domain of the function?Given the function in the question:
g(x) = log( 7x - 10 )
For the function g(x) = log (7x - 10), the domain consists of all the possible values of x that can be plugged into the function without resulting in an undefined expression.
Here, the logarithm (in this case, (7x - 10) must be greater than zero, since the logarithm of zero or a negative number is undefined in the real numbers.
So we set the argument of the logarithm to be greater than zero, and solve for x:
7x - 10 > 0
Solve for x
7x - 10 + 10 > 0 + 10
7x > 10
Dividing both sides by 7:
7x/7 > 10/7
x > 10/7
Therefore, the domain of g(x) = log (7x - 10) is x > 10/7
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-2√48 simplified is:
-8√3.
-4√3.
No solution.
None of these choices are correct.
Answer:
-8√3
Step-by-step explanation:
[tex] - 2 \sqrt{48} \\ = - 2 \sqrt{16 \times 3} \\ = - 2 \sqrt{16} \times \sqrt{3} \\ = - 2 \times 4\sqrt{3} \\ = - 8 \sqrt{3} [/tex]
25 Points! Multiple choice algebra question. Photo attached. Thank you!