Answer:
The answer is 1.62 ounce
Step-by-step explanation:
Given;Jaydon has eaten 3.6% of his 45 ounce block of chocolate fudge.To Find;How many ounces of fudge has he eaten?Now,
3.6% of his 45 ounce
45 × 3.6 ÷ 100
162 ÷ 100 = 1.62
Thus, Jaydon has eaten 1.62 ounce block of chocolate fudge.
The rule of law states that which of the selections listed below is above the law?
Select one:
A. no one
B. Congress
C. the President
Answer:
The answer will be A. No One.
Step-by-step explanation:
Hope this'll help ya out dude.
Good luck in your school.
James L.
Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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What term is used to describe the study of using limited resources to fulfill wants and needs?
A.
business
B.
economics
C.
management
Answer:
The answer is B, Economics.
Step-by-step explanation:
Expand:
\(f(z) = \frac{1}{z(z - 2)} \)
for ;
\( |z| > 2\)
Expand f(z) into partial fractions:
\(\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)\)
Recall that for |z| < 1, we have the power series
\(\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n\)
Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have
\(\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}\)
So the series expansion of f(z) for |z| > 2 is
\(\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)\)
\(\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}\)
\(\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}\)
\(\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}\)
13 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
5 feet deep on both sides of the street along a 2.7-mile section of a parade route.
The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.
How to calculate the crowd?The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.
Therefore;
The ratio of the number of people per unit area = 13/(5 × 5) = 13/25
The area A occupied by the crowd = 5 feet × 2.7 mile × 2
2.7 miles = 14,256 feet
∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²
We then have:
\(\frac{number\ of\ people}{1,42,560} = \frac{13}{25}\)
∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people
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Karen made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $10.60. If the beads cost $1.60 for each necklace, how much did each pendant cost?
Answer:
$9,00
Step-by-step explanation:
...................
Answer:
each pendant costs $3.70.
Step-by-step explanation:
t's start by denoting the cost of each pendant by "x". We know that the total cost of the beads and pendants for both necklaces was $10.60, and that the beads cost $1.60 for each necklace.
Therefore, the cost of the pendants for both necklaces must be:
10.60 - (2 x 1.60) = $7.40
Since Karen made two identical necklaces, the cost of the pendants for one necklace must be half of the total cost of the pendants for both necklaces:
7.40 / 2 = $3.70
Therefore, each pendant costs $3.70.
Please help me
..........Ill give brainliest
Answer:
1)500
2)6450
3)50
4)30
5)1500
Step-by-step explanation:
2 is a solution for
True or False
Answer:
False
Step-by-step explanation:
The open circle means you should not include the number it is on.
The inequality would look like, x<2 and not equal to. Therefore, 2 is not a solution.
Answer:
False
Step-by-step explanation:
When there is an open circle, it means that it can't be that exact number. If there is a closed circle, it can be that number. This is an open circle, and means that it is less than 2.
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
Assume you have a safe code that is 8 digits long. The numbers 0-9 may be used for any digit. How many possible codes are there? Show your work and leave your answer in either exponential or factorial form.
Answer:
10^8 choices
Step-by-step explanation:
You have 10 numbers to choose from for each digit of the code.
There are 8 digits of the code.
You have 10*10*10*10*10*10*10*10 = 10^8 choices in total.
Number of possible codes are \(10^{8}\)
What is Permutation?In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements
Given,
Number of digits in passcode = 8
The numbers 0-9 may be used for any digit. Therefore total of 10 numbers
Here repetition is allowed.
Therefore, each of the 8 vacant place can be filled in the succession of 10 different ways
Number of possible codes are = 10×10×10×10×10×10×10×10 = \(10^{8}\)
Hence, the number of possible codes are \(10^{8}\)
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Write 2 multiplication or division expressions that equal -360
This expression divides 360 by -1 to get -360.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.
Here are two possible multiplication/division expressions that equal -360:
18 x (-20) = -360
This expression multiplies 18 by -20 to get -360.
360 ÷ (-1) = -360
Therefore, This expression divides 360 by -1 to get -360.
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Consider the following proposition: For each integer a, a = 2 (mod 8) if and only if (a^2 + 4a) = 4 (mod 8).
(a) Write the proposition as the conjunction of two conditional statements.
(b) Determine if the two conditional statements in Part (a) are true or false. If a conditional statement is true, write a proof, and if it is false, provide a counterexample.
(c) Is the given proposition true or false? Explain.
This question is about to determine the conditional statement, proposition and either that is true or false.
The explanation of each part in this question is given below:
a) The given proposition can be written as the conjunction of two conditional statements as follows:
If a = 2 (mod 8), then \((a^2 + 4a) = 4 (mod 8)\).
If \((a^2 + 4a) = 4 (mod 8)\), then a = 2 (mod 8).
b) To prove the first conditional statement, assume a = 2 (mod 8). Then, there exists an integer k such that a = 8k + 2. Substituting this value of a into \((a^2 + 4a)\), we get:
\(a^2 + 4a = (8k + 2)^2 + 4(8k + 2) = 64k^2 + 36k + 8\)
Reducing this expression modulo 8, we get:
a^2 + 4a ≡ 64k^2 + 36k + 8 ≡ 0 + 4k + 0 ≡ 4 (mod 8)
Therefore, we have shown that if a = 2 (mod 8), then (a^2 + 4a) = 4 (mod 8).
To prove the second conditional statement, assume (a^2 + 4a) = 4 (mod 8). Then, there exists an integer k such that (a^2 + 4a) = 8k + 4. Substituting this value of (a^2 + 4a) into the equation a^2 + 4a - 8k = 0, we can use the quadratic formula to solve for a:
a = (-4 ± √(16 + 32k))/2 = -2 ± √(4 + 8k)
Since a is an integer, it follows that √(4 + 8k) must be an integer as well. This implies that 4 + 8k is a perfect square. The only perfect squares that are congruent to 4 (mod 8) are those of the form 8m + 4 for some integer m. Therefore, we have:
4 + 8k = 8m + 4
k = m
Substituting k = m back into the expression for a, we get:
a = -2 + √(4 + 8k) = -2 + √(8m + 4) = -2 + 2√(2m + 1)
Since a is an integer, it follows that √(2m + 1) must be an integer as well. This implies that 2m + 1 is a perfect square. The only perfect squares that are congruent to 1 (mod 8) are those of the form 8n + 1 for some integer n. Therefore, we have:
2m + 1 = 8n + 1
m = 4n
Substituting m = 4n back into the expression for a, we get:
a = -2 + 2√(2m + 1) = -2 + 2√(8n + 1) = 2(√(2n + 1) - 1)
Therefore, we have shown that if (a^2 + 4a) = 4 (mod 8), then a = 2 (mod 8).
Since both conditional statements have been proven, the given proposition is true.
(c) The given proposition is true, as shown in the proofs of the two conditional statements in part (b).
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What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
If g(x)=5 x, h(x)= √ x, find the composition.
(g ° h)(0)
(g ° h)(0) = ____
The value of the composite function (g ° h)(0) is equivalent to zero.
Composite functionsA function that is composed of further functions, each of which serves as the input to the next.
Given the function below;
g(x) = 5x
h(x) = √x
Determine the composite function (g o h)(x)
(g o h)(x) = g(h(x))
(g o h)(x) = g(√x)
g(√x) = 5√x
Substitute the value of x to have:
(g o h)(0) = 5√0
(g o h)(0) = 0
This gives the required value
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Half the books you won are mysteries. One third are historical fiction. The other four books are science fiction. How many of your books are mysteries?
Answer:
12
Step-by-step explanation:
1/2x + 1/3x + 4 = total
3/6x + 2/6x + 4 = total
5/6x + 4 = total
x = 1/6x = 4
x = 24
Mysteries = 24/2 = 12
Answer:
12 books
Step-by-step explanation:
We can discover the answer through some simple math.
First, we need to make sure we have all our values.
1/2 mysteries
1/3 Historical fiction
6 Science fiction
Then, we need to change all fractions to the same denominator.
1/2 = 3/6
1/3 = 2/6
Then we figure out what is left.
6/6 - 5/6 = 1/6
Then we can figure out our answer with this information.
1/6 = 4, so 1/2 (the number of mysteries) = 12
Question:70% of x is 63. 1.Write an equation that shows the relationship of 70%, x, and 63. 2. Use your equation to find x. Show your reasoning.
"x" represents an unknown number, we know that 70% of x equals 63.
To calculate the percentage of a number you have to multiply the said number by the percentage, in this case, 70%, and divide the result by 100:
So the 70% of x can be calculated as:
\(\frac{70\cdot x}{100}=63\)You can simplify this expression by solving the division
\(\begin{gathered} \frac{70}{100}x=63 \\ \frac{7}{10}x=63 \\ 0.7x=63 \end{gathered}\)Then the expression that shows you the relationship is
\(0.7x=63\)Using this expression you can determine the value of x, to do so you have to divide both sides of the equal sign by 0.7
\(\begin{gathered} \frac{0.7x}{0.7}=\frac{63}{0.7} \\ x=90 \end{gathered}\)The value of x is 90
!Eric runs everyday.He can run 5 miles in 50 minutes.What is the unit rate that eric runs in one minute.
Answer:
10 is the unit rate that Eric runs in one minute.
Which set of number includes only intergers
Answer:
{-10, -7, 0, 98, 145}
Step-by-step explanation:
An integer is whole numbers and their opposites, doesn't have to be written as a fraction.
{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
Find f(5) for f(x)=1/4(2)^x
A. 2
B. 4
C. 32
D. 8
Step-by-step explanation:
The value of X is given so put the value of X in 1/4 (2)^x
bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct
Answer: 30.36
Step-by-step explanation:
92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.
When rolling a 6-sided die twice, determine P(sum of 4). three thirty sixths five thirty sixths eight thirty sixths two sixths
On each roll of a 6-sided die, we have 6 possible outcomes.
Then if we roll it twice, we will have 36 outcomes.
The outcomes where the sum is 4 are:
roll 1 roll 2 sum
1 3 4
3 1 4
2 2 4
Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:
P = 3/36
P = 1/12
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Is g = 100 a solution to the inequality below? g 5 < 12
Answer:
no solution
Step-by-step explanation:
5(100)<12
500<12 false
has no solution
what is 453,605 rounded to the nearest thousand
Answer:
453605 rounded to the nearest thousand is 454000
a histogram showing u.s. household income is highly skewed right. which of following statistics would best describe the center of the distribution? question 10 options: 1) median 2) variance 3) mean 4) mode
......,,........,.....-.......
The median would best describe the centre of the distribution for a highly skewed right histogram of US household income. The correct option is A.
What is the median?The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.
Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.
The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.
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which linear equation has a slope of 1/2 and a y-intercept at (0,0)
a. y= -1/2x+2
b. x -2y=0
c. y=0
d. 2x+y=0
Answer:
B
Step-by-step explanation:
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.
The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
What are the trigonometry ratios?For a right angle triangle, the trigonometry ratios can be given as,
\(\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}\)
Here, a is base side, b is perpendicular side and c is the hypotenuse side of the triangle.
In the given triangle, the length of base side is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.
\(a=8\\b=6\\c=10\)
Thus, the tangent, cosine and sine ratios of angles X & Y are,
\(\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}\)
Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.
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A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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