Answer:
No
Step-by-step explanation:
6.212 x 10^8 = 621,200,000
4.73 x 10^9 = 4,730,000,000
Let the set be defined as follows. A= 5, 8, 34, 59, 73, 79,89. Find the total number of proper subsets of A. Find the total number of subsets of A.
Answer:
Step-by-step explanation: As we know the number of elements in set A are 7 and the formula to calculate the number of proper subsets is 2^n – 1
Therefore substituting the values in formula . n is number of elements of set A. Here n=7
so 2^7-1= 128-1=127
Ans:127
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A principal P, invested 9.5% compounded continuously, increases to an amount K times the original principal after t years, where t = ln(K)/0.095.
a. Complete the table. (Round your answers to one decimal place)
K t
1
2
3
4
6
8
10
12
b. Sketch the graph of the function.
Answer:
[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]
See attachment for the graph.
Step-by-step explanation:
Part (a)Given equation for t:
[tex]t=\dfrac{\ln (K)}{0.095}[/tex]
Substitute the given values of K into the equation for t and round the answers to one decimal place:
[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} K & t\\\cline{1-2} \vphantom{\dfrac12} 1 & 0\\\vphantom{\dfrac12} 2 & 7.3\\\vphantom{\dfrac12} 3&11.6 \\\vphantom{\dfrac12} 4& 14.6\\\vphantom{\dfrac12} 6&18.9 \\\vphantom{\dfrac12} 8& 21.9\\\vphantom{\dfrac12} 10& 24.2\\\vphantom{\dfrac12} 12&26.2\\ \cline{1-2}\end{array}[/tex]
Part (b)To sketch the graph of the given function (see attachment):
Plot the values of K along the x-axis.Plot the values of t along the y-axis.Plot the points from the table from part (a).Draw a curve through the plotted points.let's find.
[tex] \frac{3}{4} - \frac{1}{6} [/tex]
Which example illustrates the associative property for addition?
(3 x 7) + 8 = 3+ (7 x 8) = (3x 8) + 7
(3+7) x 8 = 3 x (7 + 8) = (3 + 8) x 7
(3+ 7) + 8 = 3x (7 x 8) = (3 + 8) + 7
(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7
Answer:
The answer is that the third example illustrates the associative property for addition. The associative property states that the order in which numbers are added does not affect the result. In other words, (a + b) + c = a + (b + c) for all numbers a, b, and c.
The third example follows this pattern:
(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7
The other examples do not follow this pattern, so they do not illustrate the associative property for addition.
Step-by-step explanation:
The third example illustrates the associative property for addition. The associative property states that the order in which numbers are added does not affect the result. In other words, (a + b) + c = a + (b + c) for all numbers a, b, and c.
The third example follows this pattern:
(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7
The other examples do not follow this pattern, so they do not illustrate the associative property for addition.
The first example illustrates the associative property for multiplication, which states that the order in which numbers are multiplied does not affect the result. In other words, (a x b) x c = a x (b x c) for all numbers a, b, and c.
The second example is not a valid mathematical expression, as it attempts to add a number and a product.
Answer:
(3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7
Step-by-step explanation:
The equations for associative property for addition are:
(a + b) + c = a + (b + c)
So, (3 + 7) + 8 = 3 + (7 + 8) = (3 + 8) + 7 is the answer!
Determine if the following equation has one, none, or many solutions
3x-6=x+6-5x
The equation 3x - 6 = x + 6 - 5x has one solution, which is x = 12/7.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
3x - 6 = x + 6 - 5x
To determine the solutions, solve the equation,
3x - 6 = 6 - 4x
7x = 12
x = 12/ 7
The equation has one solution, which is 12/7.
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2. (5 pts) An angle, A, is 11 times larger than its supplement, B. Find the angles (be sure to say which is which).
Answer:
So, a+2a=180°
Simplify.
3a=180°
To isolate a , divide both sides of the equation by 3 .
3a3=180°3 a=60°
The measure of the second angle is,
2a=2×60° =120°
So, the measures of the two supplementary angles are 60° and 120° .
What is the solution for x in the equation? 5/3x+4=2/3r A.x=12/7 B.x=12/7C.x=4 D.x=-4
Answer:
D
Step-by-step explanation:
5/3 x - 2/3 x = -4
3/3 x = -4
x = -4
Suppose we want to choose 4 objects, without replacement, from 17 distinct objects.
(a) How many ways can this be done, if the order of the choices is taken into consideration?
(b) How many ways can this be done, if the order of the choices is not taken into consideration?
a) If we select without taking the order into consideration there are 2380.
b) If we take the order into consideration, we have 57120 ways
What is selection?We talk about the selection when we are talking about how a material can be chosen in the midst of many other materials that we have. In this case we are told that we want to choose 4 objects, without replacement, from 17 distinct objects.
If the order is not important then we need to do a combination and we have;
n!/r! (n - r)!
17!/4!(17 - 4)!
17 * 16 * 15 * 14 * 13!/4! * 13!
= 57120/24
= 2380
If we are looking at the order we have;
n!/(n-r)!
17!/(17 - 4)!
17 * 16 * 15 * 14 * 13!/13!
= 17 * 16 * 15 * 14
= 57120
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125x ^ 3 - 27 = 0
Solve this by factoring
Answer:
x = 3/5
Step-by-step explanation:
[tex]125x^{3} -27=0[/tex]
[tex]125x^{3} =27[/tex]
[tex]\sqrt[3]{125x^{3} } =\sqrt[3]{27}[/tex]
[tex]5x=3[/tex]
[tex]x=\frac{3}{5}[/tex]
Hope this helps
What is the y/x rationp
Answer:
3/2
Step-by-step explanation:
9/6
(9:3)/(6:3) = 3/2
6/4
(6:2)/(4:2) = 3/2
3/2
James was eating a bag of candies that came in eight different colors. He noticed that there appeared to be far fewer green candies than any of the other colors and wondered if the true proportion of green candies was lower than the 12.5% that would be expected if all of the candies came in even amounts. For the sake of statistics, he decided that he would need to buy more candy to test his hypothesis. James randomly selected several bags and candies and recorded the color of each piece of candy. He found that out of the first 400 candies that he chose, 39 of them were green. James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of green candies was lower than 12.5%.
uuuuuuuuuuuuuuuurrrrrrrrrrrrrrrr mom
5 triangles are shown. Triangles 1 and 4 are identical. Triangle 2 has identical side lengths and angle measures but is rotated. Triangle 3 has a smaller base than triangles 1, 2, and 4. Triangle 5 is double the size of triangles 1, 2, and 4.
Which statement best describes one of these transformations?
Triangle 1 is rotated to result in triangle 2.
Triangle 1 is dilated to result in triangle 3.
Triangle 1 is reflected to result in triangle 4.
Triangle 1 is stretched to result in triangle 5.
A statement which best describes one of these transformations is that: A. triangle 1 is rotated to result in triangle 2.
What are the types of transformation?In Mathematics, there are four (4) main types of transformation and these include the following:
RotationReflectionDilationTranslationWhat is a rotation?In Mathematics, a rotation simply refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Since triangle 2 has identical (similar) side lengths and angle measures, but is rotated and triangles 1 and 4 are identical, we can logically deduce that triangle 1 underwent a rotation to produce triangle 2.
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x + 2y=-6
y = 2z =2
-2x- 6y + 5z =26
To eliminate y from the first equation, we can multiply the entire equation by -2. This will give us:
-2x - 4y = -12
Now, if we add this equation to the second equation, the y terms will cancel out, leaving us with:
-2x - 4(2) + 5z = 26
-2x + 5z = 26
Now we have two equations in two variables, x and z. We can solve this system of equations by substituting the value of y from the second equation into the first equation. This gives us:
x + 2(2) = -6
x = -10
Substituting this value of x into the second equation, we get:
-2(-10) + 5z = 26
20 + 5z = 26
5z = 6
z = 1.2
Finally, we can substitute the values of x and z back into the second equation to find the value of y:
-2(-10) - 6(1.2) + 5(1.2) = 26
20 - 7.2 + 6 = 26
12.8 = 26
This system of equations has no solution, since we have found values of x and z that make the second equation true, but substituting these values into the first equation results in a false statement. This means that there is no set of values for x, y, and z that will make all three equations true at the same time.
Is (1, 4) a solution to this system of equations?
y = x + 9
y = 10x + 7
yes
Submit
no
Answer:
no
Step-by-step explanation
y=x+9
4=1+9
1+9=10
10 is not equal to 4
y=10x+7
=40+7
47 does not equal 4
Suppose that the duration of a particular type of criminal trial is known to have a mean of 21 days and a standard deviation of seven days. We randomly sample nine trials.a. Find the probability that the total length of the nine trials is at least 225 days. Round to at least three decimal places.b. Ninety percent of the total of nine of these types of trials will last at least how long? Round to the nearest integer.
a)There is a 4% probability that all nine trials will last at least 225 days.
b)Approximately at least 163 days, 90% of the total of 9 of these trials will last.
Given, A typical criminal trial lasts 21 days on average, with a 7-day
standard variation. There are nine trials chosen at random.
Let's look at the mean, which is 21, and the standard deviation, which is 7, respectively. Sample size is 9 people.
Assume that X is the sum of the nine trails' days and X represents the total number of days.
It is understood that X may have any distribution if it is a random variable with an unknown or known distribution. If n is increased, the probability that the random variable X, which is made up of sums, has a normal distribution increases.
a)There is a 4% probability that all nine trials will last at least 225 days.
b)Approximately at least 163 days, 90% of the total of 9 of these trials will last.
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There is a 4% probability that all nine trials will last at least 225 days.
Approximately at least 163 days, 90% of the total of 9 of these trials will last.
What is the degree form for 4pi/9?
Answer:
80 degrees
Step-by-step explanation:
π=180 degrees
4π/9 =
4*180/9 = ==> substitute 180 for π
720/9 = ==> simplify
80 degrees
Fill in the P = X x values to give a legitimate probability distribution for the discrete random variable X , whose possible values are − 2 , 1 , 2 , 3 , and 6 .
Answer:
2
Step-by-step explanation:
whose possible values are − 2 , 1 , 2 , 3 , and 6 .
Please Help. Thank you
Answer:
Look below
Step-by-step explanation:
Example for A
1/5 y= 3/5 x
1/5 y= 3/5 x +4
Example for B
0x=0y
0x=0y+3
Answer for C
add statement for the y not to be equal to 0
Catherine Hart works 37 hours per week.
Her hourly rate of pay is $15.50 per hour. A
student calculated Catherine's weekly
paycheck as $570.00, and her annual
income as $13,764.00. These calculations
are wrong. Explain why these calculations
are wrong.
Weekly paycheck of Catherine is $573.5 and her annual income is $29,904.01.
What is Unit Rate?Unit rate is defined as the number of one quantity needed for a single other quantity.
In other words, if we know the unit rate, we can calculate any amount of one quantity corresponding to any amount of the other quantity by multiplying the unit rate with the number of other quantity.
Here unit rate of Catherine's pay = $15.50 per hour
Given that Catherine works 37 hours per week.
Weekly paycheck of Catherine = unit rate × number of hours per week
= 15.50 × 37
= $573.5
Annual Income of Catherine = Unit rate × number of hours per year
There are 52.143 weeks in a year.
Catherine works 37 hours per week.
Number of hours Catherine working in an year = 52.143 × 37 = 1929.291
Annual Income of Catherine = 15.50 × 1929.291
= $29,904.01
Hence, calculation of student is wrong since the weekly paycheck is $573.5 and her annual income is $29,904.01.
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13. a) (6 pts total) The same series of books you've been wanting cost $44 at Barnes and Noble and are on sale for $35
at Target. If you have a 25% off coupon for Barnes and Noble and a 5% RedCard discount at Target, find what the
price before tax would be at each of the two retailers.
Answer:
The price before tax at Barnes and Noble is $33, and the price before tax at Target is $33.25.
Step-by-step explanation:
Value Determination: Determine the values that x cannot be equal for the rational expression.
(5x-2)/(x^2-5x)
with steps please.
The values of x that can't be equal for the expression are 0 and 5
How to determine the values of x that can't be equal?From the question, we have the following parameters that can be used in our computation:
(5x-2)/(x^2-5x)
This means that we set the denominator to 0
So, we have
x^2 - 5x = 0
Factorize
(x - 5)x = 0
So, we have
x - 5 = 0 and x = 0
Solve for x
x = 5 and x = 0
Hence, the solution is x = 5 and x = 0
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TEXT ANSWER
Markita is reading a book. She decides to read the same amount of
pages every day. The line y = -45x + 750 represents how many pages
are left in her book 'x' days after she has begun reading it.
a. How many pages does the book have?
b. How many pages does she read per day?
Answer:
a. 750 pages
b. 45 pages
Step-by-step explanation:
If you're decreasing 45 of something each day from 750, it makes sense that the 'something' is pages; instead of decreasing, it's reading.
So
a. 750 pages
b. 45 pages
Use the graph below to find the domain and range.
The domain and the range of the graphed function are given as follows:
Domain D: (-9, -1] U (0, 4].Range R: (-6, 8.6].How to obtain the domain and the range of the function?The domain of a function is composed by the set that contains all possible values assumed by the input of the function. Hence, considering the graph of the function, the domain is given by the values of x of the graph.
Thus the domain of this function is given as follows:
D: (-9, -1] U (0, 4].
As there is an interval between -1 and 0 for which the function is not defined, and open circle defines that the interval is open at x = -9 and at x = 0.
The range of a function is composed by the set that contains all possible values assumed by the output of the function. Hence, considering the graph of the function, the range is given by the values of y of the graph.
Then the range of the function is given as follows:
R: (-6, 8.6].
Open interval due to the open circle at y = -6, closed at the value between 8 and 10 which is of 8.6.
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Nathan and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.50 and a drink for $4.25. How much would it cost if they bought p bags of popcorn and d drinks?
If they purchased 7 bags of popcorn and 3 drinks, the price would be $44.25; p bags of popcorn and d beverages would cost 4.50p+4.25d.
What is a formula?
Equation is the name given to two or more expressions with the equal sign.
Due to that
$4.50 worth of popcorn
beverage for $4.25.
There are 3 drinks and 7 bags of popcorn.
So let's calculate the overall cost.
7(4.50)+3(4.25)
31.5+12.75
44.25
So if they purchased 7 bags of popcorn and 3 beverages, the price would be $44.25
The price for p bags of popcorn and d drinks must now be determined.
4.50p+4.25d
Therefore, the price would be $44.25 if they purchased 7 bags of popcorn and 3 drinks, and the cost would be 4.50p+4.25d for p bags of popcorn and d beverages.
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What is the value of c?
c= ? °
Answer:
c = 50°
Step-by-step explanation:
Since Triangle QRP is an isosceles triangle, the base angles of the triangle are equal.
Angle RQP = 180 - 115
= 65° (sum of angles on straight line)
Angle RPQ = Angle RQP = 65°
c = 180 - 65 - 65
= 50° (sum of angles in a triangle)
A box exerts a force of 10,000 N over an area of 1 m2. What pressure is the box exerting on the floor?
Answer:
The area is in contact with the ground if A box exerts 10,000 Pa of pressure on the ground. If the box weighs 1000 N is 10 m².
( which is D/10 m²).
Step-by-step explanation:
so what is pressure?
In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area. A 42-pound box with a bottom area of 84 square inches will impose pressure on a surface equal to the force divided by the area it is applied to, or half a pound per square inch.
Answer: 10,000 pa
Step-by-step explanation:
Pressure = Force / Area
Force = 10,000
Area = 1 m^2
Pressure = 10,000 / 1
Pressure = 10,000 pa.
which of the following pearson correlations shows the greatest strength or consistency of relationship? 0.85 0.95 -0.35 -0.70
0.95 is Pearson correlation shows the greatest strength or consistency of relationship
Pearson correlation is a statistic measuring the linear interdependence between two variables or two sets of data.
The value of correlation coefficient must be between -1.00 and +1.00 that measures the strength and direction of the relationship between two variables.
When one variable changes, the other variable changes in the same direction.
The closer to either indicates a stronger relationship or the greatest strength or the consistency of the relationship.
The strongest must be 0.95. It is a strong positive correlation.
The correct answer is = 0.95
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DEF is shown on the coordinate plane below.
D(-9,8)
E(9,5)
F(-5,-9)
What is the perimeter of DEF? If necessary, round your answer to the nearest tenth.
Answer:
55.5
Step-by-step explanation:
[tex]DE=\sqrt{(-9-9)^2+(8-5)^2}=\sqrt{333} \\ \\ DF=\sqrt{(-9-(-5))^2+(-9-8)^2}=\sqrt{305} \\ \\ EF=\sqrt{(-5-9)^2+(-9-5)^2}=\sqrt{392}[/tex]
The perimeter is thus [tex]\sqrt{333}+\sqrt{305}+\sqrt{392} \approx 55.5[/tex].
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Simplify the factorial expression.
(n-5)!/(n-3)!
Answer:
[tex]\cfrac{1}{(n-4)(n-3)}[/tex]----------------------------------------
Simplify considering that (n - 3) > (n - 5) and their difference is 2:
[tex]\cfrac{(n-5)!}{(n-3)!}=\cfrac{(n-5)!}{(n-5)!(n-4)(n-3)} =\cfrac{1}{(n-4)(n-3)}[/tex]3(x-7)+12=1/4(12x-8)-7
Answer:
What's the question? Ill try to answer in comments
Step-by-step explanation: