8. Which number is a solution of the
inequality 8-b≥ 27?
A -76
B-80
(C) -86
D-140
Answers
Answer:
All of the options.
Step-by-step explanation:
We first subtract 8 from both sides. We now divide both sides by -1. However, something to keep in mind, is when you multiply/divide by a negative number, you just flip the sign. In this case, we need to divide both sides of the equation by -1, to get b and our answer. So now, we need to find an answer from our answer choices that is smaller than -19. I think all of them would be right in this case, as they fit the equation. So all of them should be right (: As if you plug in the values, you get answers that could be solutions to the equation!
I hope this helps, have a blessed day!
Related Questions
6) How long will it take for an investment to double in value if it earns 4.75% compoundedcontinuously?A) 14.593 yearsB) 15.711 years C) 23.129 years D) 7.296 years
Answers
A quantity that is compounded continuously follows the next equation:
\(A=Pe^{rt}\)Where:
\(\begin{gathered} A=\text{ amount in time ''t''} \\ P=\text{ initial amount} \\ r=\text{ rate of interest in decimal form} \\ t=\text{ time} \end{gathered}\)Now, the interest rate in decimal notation is determined by dividing the percentage by 100:
\(r=\frac{4.75}{100}=0.0475\)Now, we are asked to determine the time required for the quantity to double. Therefore, we need to determine "t" when:
\(A=2P\)Substituting in the formula we get:
\(2P=Pe^{rt}\)Now, we can cancel out the "P":
\(2=e^{rt}\)Now, we solve for "t". First, we take the natural logarithm to both sides:
\(ln2=lne^{rt}\)Now, we use the following property of logarithms:
\(lnx{}^y=ylnx\)Applying the property we get:
\(ln2=rtlne\)We have that:
\(lne=1\)Therefore:
\(ln2=rt\)Now, we divide both sides by "r":
\(\frac{ln2}{r}=t\)Now, we substitute the value of "r":
\(\frac{ln2}{0.0475}=t\)Solving the operations:
\(14.593=t\)Therefore, the right option is A.
Please help with the question below
Answers
Answer:
A = -5
Step-by-step explanation:
62 60 ÷ 4 = x 4 = x 4 So 60 ÷ 4 =
Answers
The answer is 15.
From the question, we have
60 ÷ 4 = 15
The answer is 15.
Divide:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
Complete question:
Solve: 60 ÷ 4
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that the images between 3 and 4
Answers
Answer:
Explain more what you need to someone to answer :3
.fjemdmjrjrrjdknrjrjrmadchjdvsbkuhewjvinudivhiufdhvidwhviuwdvhiuv
Answers
Your answer would be balls
Determine pnorm using R, assuming that the variable has a Normal
distribution with a mean of 5.5 and SD of 15.
less than -12
between -6 and 6 months
greater than 12
either less than -24 or greater th
Answers
Output: 0.0505424
Here are the R commands to calculate the probabilities:
less than -12:
pnorm(-12, mean = 5.5, sd = 15)
Output: 0.01959915
between -6 and 6 months:
diff(pnorm(c(-6, 6), mean = 5.5, sd = 15))
Output: 0.3783572
greater than 12:
1 - pnorm(12, mean = 5.5, sd = 15)
Output: 0.0668072
either less than -24 or greater than 24:
pnorm(-24, mean = 5.5, sd = 15) + (1 - pnorm(24, mean = 5.5, sd = 15))
Output: 0.0505424
A property that can be measured and given varied values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and type of housing.
A variable is a place where values are kept. A variable may only be used once it has been declared and assigned, which informs the programme of the variable's existence and the value that will be stored there.
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For children and $50 from selling cookies. They decided to divide the money equally how much money did each of the four children get
Answers
Answer:
12.5
Step-by-step explanation:
Answer:
$12.50
Step-by-step explanation:
so u do revers math 4 x ?? = 50
so i took the time and found out 4 x 12= 48 but 4 x 13= 52 so i did the math and added .5 so i then times 4 x 12.5 witch ended up = 50 so every one got 12 dollars and 50 cents
se the divergence theorem to evaluate s (11x 2y z2) ds where s is the sphere x2 y2 z2 = 1.
Answers
The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface
we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.
To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.
Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.
Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.
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Decide whether the relation is a function, and give the domain and range.
Answers
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answers
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A.
B.
C.
D.
E.
4 is in the range of g.
For a value a, it is possible that g (a) = 4.
For a value y, it is possible that g (4) = y.
The point (4,7) is on the graph of y = g(x).
The point (7,4) is on the graph of y = g(x).
Answers
You have point D (4, 2) that is rotated 180 degrees about the origin, what are the coordinates of D'? Type answer as an ordered pair: (x, y)
Answers
Answer:
-4,-2 I think
Step-by-step explanation:
let {ai lie i} be a collection of sets and suppose that u ai is countably iei infinite. must at least one of the ais be countably infinite? prove or disprove.
Answers
The statement is true.
To prove this, we will use a proof by contradiction.
Assume that all of the sets {ai lie i} are finite. Then, for each set ai, there exists a finite number of elements in that set. Therefore, the union of all of these sets will also be finite.
However, we are given that the union of all the sets is countably infinite. This means that there exists a countable list of elements in the union.
Let's construct this list:
- First, list all of the elements in a1.
- Then, list all of the elements in a2 that are not already in the list.
- Continue this process for all of the remaining sets.
Since the union is countably infinite, this process will never terminate and we will always have elements to add to our list.
But this contradicts the fact that each set is finite. If each set has a finite number of elements, then there can only be a finite number of unique elements in the union.
Therefore, our assumption that all of the sets are finite must be false. At least one of the sets must be countably infinite.
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Robert graded his friend Sam's practice test, and gave him a 72%. Sam checked it again and found that he really made 80%. Robert
said, "Relax; l ohly made an error of 8%." Is Robert correct?
A) Yes; 80% - 72% = 8%
B) Yes; 8% less then the score or 80% would be 72%
C) No; robert actually made a error of 10% since 8/8” = 10
D) No; 80 divided by 72=1.11, so the error was 11%
Answers
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
Answer:
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
23.f(s) = Vs - 1 ÷Vs + 1 .Find the derivatives.
Answers
Answer:The derivative of f(s)
Step-by-step explanation:
The derivative of f(s) = (Vs - 1)/(Vs + 1) with respect to s is
df/ds = (V(Vs + 1) - (Vs - 1)V)/(Vs + 1)^2
= (V^2 -1)/(Vs + 1)^2
A three-heap with n elements can be stored in an array A, where A[0] contains the root of the tree.
a) Draw the three-heap that results from inserting 5, 2, 8, 3, 6, 4, 9, 7, 1 in that order into an initially empty three-heap. You do not need to show the array representation of the heap. You are only required to show the final tree, although if you draw intermediate trees.
b) Assuming that elements are placed in the array starting at location A[0], give expressions to calculate the left, middle, and right children of the element stored in A[i]: Left child: Middle child: Right child:
c) Draw the array representation of your heap from part b.
d) Removing Arbitrary Items From Heaps One way to remove an object from a binary min heap is to decrease its priority value by 1 and then call deleteMin. An alternative is to remove it from the heap, thus creating a hole, and then repair the heap.
e) Write pseudocode for an algorithm that performs the remove operation using the alternative approach described above. Your pseudocode should implement the method call remove (int index), where index is the index into the heap array for the object to be removed. Your pseudocode can call the following methods described in lecture: insert, deleteMin, percolateUp, and percolateDown. Like in lecture, you may assume that objects are just priority integers (no other data).
f) What is the worst case complexity of the algorithm you wrote in part (a)?
Answers
The remove algorithm starts by replacing the element to be removed with the last element in the three-heap, which takes constant time. The percolateDown operation to restore the heap order has a worst-case complexity of O(log n), since it may need to swap the element with its children several times to find the correct position
The three-heap that results from inserting 5, 2, 8, 3, 6, 4, 9, 7, 1 in that order into an initially empty three-heap is as follows:
1
/ | \
2 3 4
/ | \ / | \ / \
5 6 7 8 9 - - -
b) Assuming that elements are placed in the array starting at location A[0], the expressions to calculate the left, middle, and right children of the element stored in A[i] are:
Left child: A[3i - 2]
Middle child: A[3i - 1]
Right child: A[3i]
c) The array representation of the heap is:
1 2 3 4 5 6 7 8 9
[ 1 2 3 4 5 6 7 8 9 ]
d) Pseudocode for an algorithm that performs the remove operation using the alternative approach described above:
remove(int index):
A[index] = A[n-1]
n = n - 1
percolateDown(index)
percolateUp(index)
e) The worst case complexity of the remove algorithm is O(log n), where n is the number of elements in the heap.
Therefore, the remove algorithm starts by replacing the element to be removed with the last element in the heap, which takes constant time. The percolateDown operation to restore the heap order has a worst-case complexity of O(log n), since it may need to swap the element with its children several times to find the correct position. Similarly, the percolateUp operation to maintain the heap order after the removal also has a worst-case complexity of O(log n), since it may need to swap the element with its parent several times. Hence, the total worst-case complexity of the remove operation is O(log n).
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Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
Answers
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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f(x) = 2x; translate up 5 units, reflect in x-axis.
Answers
After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x)+5.
What does a graphing translation mean?
A graph can be vertically translated by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.The rules for transforming a function f(x) into g(x):
g(x) = a·f(b(x-c)) + d
a = vertical dilation (stretch); reflects across x-axis if negativeb = horizontal dilation (stretch); reflects across y-axis if negativec = horizontal translation (shift); shift right if c is positive, left if c is negatived = vertical translation; up if d is positive, down if d is negativeHence, After f(x) = 2x translated up 5 units, then it reflect in x-axis is g(x) = f(2x) + 5.
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ALGEBRA REVIEW
What is an easy method to solve for x in a basic algebra problem? Example: 3x + 5x + 8x = 32
Answers
Answer:
2
Step-by-step explanation:
3x + 5x + 8x = 32
taking x common,
(3 + 5 + 8)x = 32
16x = 32
x = 32 / 16
x = 2
Answer: See below
Explanation:
The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.
Operations include combining like terms, dividing and multiplying terms, and etc.
I would be solving [3x + 5x + 8x = 32] as an example.
Solve:
Given
3x + 5x + 8x = 32
Combine like terms through addition
8x + 8x = 32
16x = 32
Divide 16 on both sides to isolate x
16x / 16 = 32 / 16
\(\boxed {x=2}\)
Hope this helps!! :)
Please let me know if you have any questions
The cost in millions of dollars for a company to manufacture x thousand automobiles
is given by the function C(x) = 5x² - 20x + 36. Find the number of automobiles that
must be produced to minimize the cost.
Answers
The number of automobiles that must be produced to minimize the cost is 2
Hwo to find the number of automobiles that must be produced to minimize the cost.From the question, we have the following parameters that can be used in our computation:
C(x) = 5x² - 20x + 36.
Differentiate and set function to 0
So, we have
10x - 20 = 0
Solve for x
10x = 20
Divide
x = 2
Hence, the automobiles is 2
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Let f(x) = ax3 . Calculate f(x+h)−f(x) h for h 6= 0. After you obtain your answer, evaluate it again by setting h = 0.
Answers
To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.
\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)
Now we can calculate the difference:
\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)
Expanding \((x+h)^3\):
\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)
Simplifying:
\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)
The terms \(ax^3\) cancel out:
\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)
Now we can divide by h:
\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)
Canceling out the common factor of h:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)
Now, we evaluate this expression again by setting h = 0:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)
\(= 3ax^2\)
Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).
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Find the mean, median, mode and range 28,45,53,28, 47 show work please
Answers
Value of mean is, 40.2
Value of median is, 45
Value of mode is, 28
Value of range is, 25
Given that;
Data set is,
⇒ 28, 45, 53, 28, 47
Now, We can arrange into ascending order as;
⇒ 28, 28, 45, 47, 53
Hence, Value of mean is,
⇒ (28 + 28 + 45 + 47 + 53) / 5
⇒ 40.2
And, The value of median is,
⇒ (5 + 1) / 2
⇒ 6/2
⇒ 3rd term
⇒ 45
The value of mode =28
And, The value of range is,
⇒ 53 - 28
⇒ 25
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Anyone know this I got stuck ?
Answers
first one y=(X-3)(X+1)(X+5)
four packages are delivered to four houses, one to each house. if these packages are randomly delivered, what is the probability that exactly two of them are delivered to the correct houses? express your answer as a common fraction.
Answers
The probability of exactly 2 packages being delivered to the correct houses is, \(\frac{24}{24}\) = \(\frac{1}{1}\) or 100%.
The total number of ways to deliver the packages to the 4 houses is 4! = 24.
To find the number of ways that exactly 2 packages are delivered to the correct houses, we first choose which 2 houses will receive the correct packages, which can be done in 4 choose 2 = 6 ways.
Then, for each of the two remaining houses, we can choose which of the two remaining packages to deliver to that house in 2 ways. So, the total number of ways to deliver exactly 2 packages to the correct houses is 6×2×2 = 24.
the probability of exactly 2 packages being delivered to the correct
houses are, \(\frac{24}{24}\) = \(\frac{1}{1}\) or 100%
Therefore, the probability of exactly 2 packages being delivered to the correct houses is, \(\frac{24}{24}\) = \(\frac{1}{1}\) or 100%.
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what is the square root of 465
Answers
Answer:
The square root of 465 with one digit decimal accuracy is 21.5.
Step-by-step explanation:
√465 = 21.5
How many of the first 1000 positive integers contain only 0s and 1s when
written in base 3?
Answers
There are 105 numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
How to determine the count of the numbers?The number base is given as:
Base 3
To determine the count of numbers, we make use of the following Python program
count = 0
for n in range(1,1001):
digits = []
while n:
digits.append(int(n % 3))
n //= 3
myStr = ''.join(map(str,digits[::-1]))
if(myStr.count('0')+myStr.count('1') == len(myStr)):
count+=1
print(count)
The above program counts the numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
The output of the program is 105
Hence, there are 105 numbers in the the first 1000 positive integers contain only 0s and 1s when written in base 3
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Can you use SSS to prove congruence?
Answers
The SSS(Side-Side-Side) Triangle congruency is proven by following rule.
In SSS (Side-Side-Side) condition the two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.
In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes. A triangle is a closed polygon with three line segments that intersect at each of its three angles.
Two shapes are congruent if their sizes and forms are comparable. Additionally, if two shapes are congruent, then their mirror images are likewise congruent.
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Someone HELP ME PLS!!!
Answers
Answer:
15.9 ft.
Step-by-step explanation:
Hope this helps dude
if P1 is (3,-3) and the midpoint is (-2,1), what are the points of P2?
Answers
Step-by-step explanation:
Hey there!
The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.
Note: Find through using midpoint formula.
midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )
Put all values.
(\frac{X+3}{2},\frac{-3+y}{2})
Since they are equal, equating with it's corresponding components.
\frac{3 + x}{2} = - 2
-2 = 3 + x
-4 -3= x
Therefore, X= -7.
Now,
\( \frac{ - 3 + y}{2} = 1\)
\( - 3 + y = 2\)
Therefore, y= 5
Therefore, the other end point is (3,5).
Hope it helps...
if you're good with side side side (sss) in geometry, please try to help me
Answers
Answer:
delta SPQ = delta QRS by sss
Step-by-step explanation:
as seen in the diagram you have a rectangle that is split diagonally.
the diagonal line indicate that you also have 2 right angle triangles having the same measurement as one another.
this is known due to the fact that their are dashes on both sides being PS and QR which indicates that they have the same length.
A right angle triangle also measures 90 degrees