Answer:
2,8 and -2,-8 this us answer maybe
Answer:
B
Step-by-step explanation:
8 = 1/2x2
16 = x2
4 = x (square root)
-4=x
Mukhtar bought an electronic gadgets for rs. 5000 . he paid tax of rs.200 on it and paid rs. 300 for its accessories. he sold it for rs. 6500. find his gain or loss percentage...
Answer:
18.18%
Step-by-step explanation:
when c.p is greater than s.p it is loss and when s.p is greater than c.p it is profit .
the ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. which pair of equivalent ratios could be used to find how many students prefer kiwi if there are 357 total students
To find out how many students prefer Kiwi when there are 357 total students, we can use the equivalent ratios of 5:12 or 12:5.
The ratio of students who prefer pineapple to students who prefer kiwi is given as 12 to 5, which means that for every 12 students who prefer pineapple, 5 students prefer kiwi. We can represent this ratio as 12:5.
To find out how many students prefer kiwi, we need to determine the proportion of the total number of students that prefer kiwi. Since the total number of students is 357, we can set up a proportion with the ratio of students who prefer Kiwi to the total number of students. Using the equivalent ratio of 5:12, we can set up the proportion as follows:
5/12 = x/357
Here, x represents the number of students who prefer Kiwi. To solve for x, we can cross-multiply and simplify the proportion as follows:
5 * 357 = 12 * x
1785 = 12x
x = 1785/12
x = 148.75
Since we cannot have a fractional number of students, we need to round our answer to the nearest whole number. Therefore, we can conclude that approximately 149 students prefer Kiwi out of a total of 357 students.
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a rectangle has a perimeter of 128 inches. the length is four less than twice the width. what is the length of the rectangle?
The length of the rectangle is approximately 41.34 inches.
Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:
2w + 2(2w - 4) = 128.
Simplifying the equation, we get:
2w + 4w - 8 = 128,
6w - 8 = 128,
6w = 136,
w = 22.67.
So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:
2(22.67) - 4 = 41.34.
Therefore, the length of the rectangle is approximately 41.34 inches.
In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.
By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.
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Help!
Suppose you are saving your money to pay for a vacation for your family. So far, you have $400 saved. You plan on saving more each month so you can pay for the vacation at the end of the year. Assume that you save 10% more each month than the previous month.
The sequence can be written as
month Amt. deposited
1 400
2 400 + 0.1x400
3 400 + 0.1x400 + 0.1(400 + 0.1x400) etc.
This can be generalized to 400(1 + 0.1)n-1 = 400 x 1.1n-1 amount deposited in the nth month.
This is a geometric sequence for which the sum is
(A). 400 (1 - 1.1n) / (1 - 1.1) = 8553.71 which is the total saved after 12 months (n).
(B). absolutely
(C). Much more than $8000 was saved.
I have a feeling there is some information missing as it is obvious that there will be more than enough after only 2 months! If the first month's deposit was not $400, the formula would still hold except that the initial amount would be substituted for $400.
add speaker notes
Your sister has baked 80 cupcakes. She
gave you 28 cupcakes to take to school.
What percent of the cupcakes did she
keep for herself?
A) 35%
B) 65%
C) 52%
D) 31%
E)69%
Answer: B (65%)
Step-by-step explanation:
Let's start with what we know. Since your sister has 80 cupcakes and she gave you 28, that means she kept 52 for herself. So she has 52 of the total 80 which can also be written as:
52/80
This can be simplified to:
13/20
Now when getting percents we need to make the fraction something/100 so to do that with this fraction we can just multiply by 5 to get:
65/100
So the percent is B) 65
Which of the following represents a problem that could be solved by using the inequality below?
Answer:
c. C Both a and b can be solved using this inequality
Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now? (A) 3 (B) 6 (C) 12
The age of Michael as of now is 6 years old as the age pf Norman will be 12 years. So option (B) 6 is correct answer.
Let N = Norman’s age now; (N + 6) = Norman’s age in 6 years.
Let M = Michael’s age now; (M + 6) = Michael’s age in 6 years.
Translate the first two sentences into equations. Note that the second equation deals with Norman and Michael’s ages in 6 years:
N=M+12
(N+6)=2(M+6)
The question asks for M, so substitute (M + 12) for N in the second equation:
(M+12)+6=2(M+6)
M+18=2M+12
M=6
Therefore, the age of Michael as of now is 6 years old. So option (B) 6 is correct answer.
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what is the expanded form 4,365,421,006
Answer:
4,365,421,006
4,000,000,000
300,000,000
60,000,000
5,000,000
400,000
20,000
1,000
0
0
6
Explanation:
You're basically going from each number starting from left to right and naming out their placements.
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Rectangle RSTU is a scaled copy of rectangle MNPQ
What is the value of x?
Answer:
7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
B . 7.5
Step-by-step explanation:
QP is 2UT so 10÷2= 5
MQ is 2RU so 15÷2=7.5
What is the slope of the line that passes through the points (3, -5) and (1,−5)?
Answer:
m = 0
Or Slope intercept form of y = mx+b
y=-5
Step-by-step explanation:
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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Convert milligrams per liter to micrograms per (fluid ounce)
To convert milligrams per liter (mg/L) to micrograms per fluid ounce (µg/fl oz), we can use the conversion factor of 29.5735.
This conversion factor takes into account the difference in volume between a liter and a fluid ounce.
1 fl oz = 29.5735 mL
1 L = 1000 mL
So, to convert from milligrams per liter to micrograms per fluid ounce, we divide by 29.5735 and multiply by 1000:
(mg/L) * 1000 / 29.5735 = (µg/fl oz)
Therefore, to convert a value x from milligrams per liter to micrograms per fluid ounce:
x (µg/fl oz) = x (mg/L) * 1000 / 29.5735
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Compute and expressed the result as a mixed fraction?
1) 2+ 3/4
Answer:
2 \(\frac{3}{4}\)
Step-by-step explanation:
2 + \(\frac{3}{4}\)
= 2 \(\frac{3}{4}\) ← as a mixed number
Hobart bus tickets have numbers from 000000 to 999999. The number on the first ticket for each
bus is random, with subsequent ticket numbers going up by one each time. In the rare event of
going past 999999, the next number is 000000. A lucky ticket is one where the sum of the digits is
21.
What is the average sum of the digits on a ticket?
The average sum of the digits on a ticket will be 15.78
How to calculate the averageThe first digit can be any number from 0 to 9, so its average value is (0+1+2+3+4+5+6+7+8+9)/10 = 4.5.
For the second digit, we can use the fact that the first digit is equally likely to be any of the numbers from 0 to 9. If the first digit is 0, the second digit can be any number from 0 to 9. So the average value of the second digit is (0+1+2+3+4+5+6+7+8+9)/10 + (0+1+2+3+4)/9 = 4.05.
Similarly, we can calculate the average value of the third digit as (0+1+2+3+4+5+6+7+8+9)/10 + (0+1+2+3+4+5)/9 + (0+1+2+3)/8 = 3.125.
Continuing in this way, we find that the average value of each digit position is:
First digit: 4.5
Second digit: 4.05
Third digit: 3.125
Fourth digit: 2.25
Fifth digit: 1.35
Sixth digit: 0.5
So the average sum of the digits on a ticket is 4.5 + 4.05 + 3.125 + 2.25 + 1.35 + 0.5 = 15.78
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Hobart bus tickets have numbers from 0 to 9. The number on the first ticket for each
bus is random, with subsequent ticket numbers going up by one each time. In the rare event of
going past 9, the next number is 0. A lucky ticket is one where the sum of the digits is
21.
What is the average sum of the digits on a ticket?
Please help!!!
Lily Morrissette is studying an invasive species of mussels found in Lake Erie. She counts the number of mussels at her study site and finds 10. She returns 3 months later to find that the number of mussels has increased to 22. Lily wants to predict the population of mussels one year from when she started collecting data.
If Lily assumes the population grows at the same percentage rate each month, what would she predict the population of mussels to be in a year?
Write an equation to support your answer.
By the way, the equation is supposed to be in y=mx+b format
Lily would predict the population of mussels to be 58 after one year if the population grows at the same percentage rate each month
The population of mussels increased by 22 - 10 = <<22-10=12>>12 mussels in 3 months. The rate of increase per month is 12 mussels / 3 months = 4 mussels/month.
Therefore, the equation for the population of mussels after one year is y = 4 mussels/month * 12 months + 10 mussels, or y = 48 mussels + 10 mussels.
The final equation is y = 58 mussels.
This means that Lily would predict the population of mussels to be 58 after one year if the population grows at the same percentage rate each month.
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You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
548750/12
approximately 45729
|a-3| if a=-17
please help
The value of the absolute value expression |a - 3| if a = -17 is 20
How to evaluate the absolute value expressionFrom the question, we have the following parameters that can be used in our computation:
|a - 3|
Also, we have the value of a to be
a = -17
This means that we substitute -17 for a in the absolute value expression
Substitute the known values in the above equation, so, we have the following representation
|a - 3| = |-17 - 3|
Evaluate
|a - 3| = 20
Hence, the value of the absolute value expression |a - 3| is 20
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Identify the zeros,multiplicity, and effect on the graph
f(x)= 3x(x-1)^6 (5x+2)^3
The zeros and the multiplicities are x = 0 with a multiplicity of 1, x = 1 with a multiplicity of 6 and x = 2/5 with a multiplicity of 3
Calculating the zeros, multiplicity, and effect from the graphThe equation from the question is given as
f(x)= 3x(x-1)^6 (5x+2)^3
To calculate the zeros, we set each factor to 0
So, we have
3x = 0
(x - 1)^6 = 0
(5x + 2)^3 = 0
When evaluated, we have
x = 0
x = 1
x = -2/3
The multiplicities are the powers of the factors
So, we have the following results
3x = 1 multiplicity(x - 1)^6 = 6 multiplicity(5x + 2)^3 = 3 multiplicityRead more about polynomial at
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Based on the give info, what’s the ratio of students to chaperones?Based on the rate, how many students are assigned to one chaperone?
Looking at the table,
24 students had 3 chaperones
Thus,
number of students/number of chaperones = 24/3
Dividing the numerator and denominator by 3, it becomes 8/1
ratio of students to chaperone = 8 : 1
Based on this rate, 8 students were assigned to 1 chaperone.
HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
1222 ft^2
Step-by-step explanation:
2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)
Liam practices free throws every morning before he goes to school. This morning, Liam made 42 out of 50 free throws. Which equation can be used to find x, the percent of free throws Liam made?
Answer:
84%
Step-by-step explanation:
Given that :
Total number of throws = 50
Total throws made = 42
The percentage throws made, x :
x = (number of throws made / total throws) * 100%
x = (42 / 50) * 100%
x = 0.84 * 100%
x = 84%
According to the graph, what is the value for the RANGE when the DOMAIN is 0? A) -2 B) -1 C) 0 D) 1
Use the point-slope form to write an equation, then write the equation in slope-intercept form.
Ben is studying the average height of students who attend his school.
Choose from convenience, simple random, systematic, stratified or quota to
classify each of the following sampling techniques that Ben might
use.
Data can be classified as quantitative and qualitative.
Quantitative is an adjective that simply means a commodity that can be measured. For illustration, we can count the number of lamb on a ranch or measure the gallons of milk produced by a cow.
The hair colors of players on a football platoon, the color of buses in a parking lot, the letter grades of scholars in a classroom, the types of coins in a jar, and the shape of delicacies in a variety pack are all exemplifications of qualitative data so long as a particular number isn't assigned to any of these descriptions.
Quantitative data are measures of values or counts and are expressed as figures. Quantitative data are data about numeric variables(e.g. how numerous; how important; or how frequently). Qualitative data are measures of' types' and may be represented by a name, symbol, or a number law.
Quantitative data is countable and measurable.
And
Qualitative data is categorical.
Here, Data can be classified as quantitative and qualitative.
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Choose the correct simplification of (5a)(6b). 5a ab 11ab 30ab
The correct simplification of (5a)(6b) is 30ab
(5 *a )* (6 * b)
= 5*6*a*b
30ab
In Maths, Algebra is one of the important branches. The concept of algebra is used to find unknown variables or unknown quantities. The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants. Algebraic expression is an expression that is built by the combination of integer constants and variables. For example, 4xy + 9, in this expression, x and y are variables, whereas 4 and 9 are constants. The value of an algebraic expression changes according to the value chosen for the variables of the expressions.
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using a single screen window, create the following four distinct drawings, each occupying one quadrant of the window. 1. a logarithmic spiral with k
Divide your single screen window into four equal quadrants. You can do this by drawing two perpendicular lines that intersect in the center of the window.
How to create the four distinct drawings in a single screen window?To create the following four distinct drawings in a single screen window, with each occupying one quadrant of the window, follow these steps:
. Divide your single screen window into four equal quadrants. You can do this by drawing two perpendicular lines that intersect in the center of the window.
. In the first quadrant, draw a logarithmic spiral with a given value for k. To do this, start at the center of the quadrant and draw the spiral outwards, increasing the distance between the spiral lines as you move away from the center, according to the formula r = a * e^(k * theta), where r is the distance from the center, a is a constant, e is the base of the natural logarithm, k is the given value, and theta is the angle.
. In the second quadrant, create a distinct drawing that is different from the logarithmic spiral. This can be any other type of curve, shape, or pattern that you would like.
. In the third quadrant, create another distinct drawing that is different from the first two. Again, this can be any curve, shape, or pattern that you choose.
. In the fourth quadrant, create a final distinct drawing that is different from the first three. Make sure to choose a different curve, shape, or pattern for this quadrant as well.
By following these steps, you will have created four distinct drawings in a single screen window, each occupying one quadrant of the window, with the first quadrant featuring a logarithmic spiral with the specified value for k.
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if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?
The inequality equation is x ≥ ( by - c - d ) / a
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
by - d ≤ ax + c be equation (1)
On simplifying the equation , we get
Subtracting c on both sides of the equation , we get
by - d - c ≤ ax
And , ax ≥ by - d - c
Divide by a on both sides of the equation , we get
x ≥ ( by - c - d ) / 2
Hence , the inequality is x ≥ ( by - c - d ) / a
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One way to measure the efficiency of an algorithm is to count how many steps it requires for different input sizes and then use a function to describe how the number of steps increases in proportion to the input size.
The table below lists various efficiencies, where nnn represents the input size.
Categorize each efficiency as either polynomial or superpolynomial:
n/10 polynomial
n! superpolynomial
n^10 polynomial
10n^2 polynomial
10^n superpolynomial
Three of the efficiencies are classified as polynomial, while two of them are classified as superpolynomial. The categorization of algorithm efficiency can be useful in comparing and selecting algorithms that can handle different input sizes in a more efficient way.
Efficiency of an algorithm is often measured by how many steps it requires for different input sizes, and then a function is used to describe how the number of steps increases in proportion to the input size.
The table provided lists various efficiencies, and we are asked to categorize each efficiency as either polynomial or superpolynomial.
The categorization of an efficiency as polynomial or superpolynomial is determined by the degree of the function used to describe the efficiency with respect to the input size.
If the degree of the function is a constant or increases linearly with the input size, then the efficiency is considered polynomial.
However, if the degree of the function increases faster than linearly with the input size, then the efficiency is considered superpolynomial.
Based on this definition, we can categorize the efficiencies in the table as follows:
n/10: polynomial (degree 1)
n!: superpolynomial (degree n)
n^10: polynomial (degree 10)
10n^2: polynomial (degree 2)
10^n: superpolynomial (degree n)
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Use Inverse Laplace Transformation to convert s-domain to time-domain function for the following functions
a)
F(s) = \(\large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
\(f(t)=\) ....
b)
F(s) = \(\large{\frac{s-1}{s^2-3s+2}}\)
\(f(t)=\) .....
c)
F(s) = \(\large{\frac{s-1}{s^2+s-2}}\)
\(f(t)=\) ....
d)
F(s) = \(\large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
\(f(t)=\) ....
The inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
How did we get the value?To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:
a)
\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:
\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)
Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of
\(e^(-0.5s) \: is \: e^(0.5t).\)
Applying this, we get:
\(f(t) = 2e^(0.5t) * t \\
b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)
We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)
Simplifying, we have:
\(F(s) = \large{\frac{1}{s-2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(2t) \\
c) F(s) = \large{\frac{s-1}{s^2+s-2}}
\)
We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:
\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{1}{s+2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-2t) \\
d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{e^{-s}}{s+2}}\)
The Laplace transform of
\(e^(-s) \: is \: 1/(s + 1).\)
Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
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