Calling the attention of the government towards reforms, economy, social welfare and so on is the collective responsibility of the citizens. Hence, it is the responsibility of adults, classed as those aged 18 and above.
Being flawless is a trait which is hard to come by. However, adjustments could be made on shortcomings or mistakes when notified. The citizens are being governed by the government, hence, flaws in the administration based on effect of policies and bills could be constructively criticized by adult citizens.Therefore, it is the collective responsibility of the n citizens to point out the flaws in an administration.
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Find the value of x that makes m ∥ n.
Answer:
look
Step-by-step explanation:
180° is x+2x
so 180° is 3x
180°/3 is 60°
so x is 60° and 2x is 120°
1. Frank and his family drove 6 hours every day during a road trip. Which graph
best represents y, the total number of hours driven in x days?
Answer:
y=6x
Step-by-step explanation:
Susie's Sweet Shop sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center chocolate truffles, and chocolate truffles with nuts. A box containing 5 of each type of truffle costs $41.25. A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75. A box with only 12 solid chocolate truffles and 12 chocolate truffles with nuts costs $66.00. If s represents the cost per solid chocolate truffle, c represents the cost per cream center chocolate truffle, and n represents the cost per chocolate truffle with nuts, which system of equations can be used to determine the cost of each type of chocolate truffle?
Answer:
So, the system of equations are
5 s+5 c+5 n=41.25
10 s+5 c+10 n=68.75
12 s+12 n=66
Step-by-step explanation:
We are given S represents the cost per solid chocolate.
C represents the cost per cream center chocolate
n represent the cost per chocolate with nuts.
So, we can set up equation for each sentences,
For A box containing 5 of each type of truffle costs $41.25
5 s+5 c+5 n=41.25
For A box containing 10 solid chocolate truffles, 5 cream center chocolate truffles, and 10 chocolate truffles with nuts costs $68.75
10 s+5 c+10 n=68.75
For box with only 12 solid chocolate truffles and 12 chocolate truffles with nuts costs $66.00
12 s+12 n=66
A teacher is making a circular placemat out of a square piece of paper with a side length of 14.5 centimeters. The diameter of each circular placemat is the same length as the side length of the paper. Approximately how much paper will the teacher have left over after making one circular card?
The paper left over after making one circular card will be 255.80 centimeters².
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr² where 'r' is the radius of the circle
A teacher is making a circular placemat out of a square piece of paper with a side length of 14.5 centimeters
The diameter of each circular placemat is the same length as the side length of the paper.
The paper left over after making one circular card will be :
⇒ Area of square piece of paper - Area of circular placemat
⇒ (length of square piece)² + π × diameter of circular placemat
⇒ (14.5)² + π × 14.5 = 210.25 + 14.25π
⇒ 255.80 centimeters²
Thus, the paper left over after making one circular card will be 255.80 centimeters².
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The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 54 yd2 . find the dimensions of the rectangle.
the dimensions of the rectangle are 3 yards by 9 yards.
How to find?
Let's use algebra to solve this problem.
Let w be the width of the rectangle in yards. Then, according to the problem, the length of the rectangle is 3 yards more than twice the width, which we can write as:
l = 2w + 3
The area of the rectangle is given as 54 square yards, so we can write:
A = lw = 54
Substituting the expression for l from the first equation into the second equation, we get:
A = (2w + 3)w = 54
Simplifying and rearranging, we can write this equation as a quadratic equation in standard form:
2w²2 + 3w - 54 = 0
We can solve this equation by factoring or by using the quadratic formula:
w = (-3 ± √(3²2 - 4(2)(-54))) / (2(2))
w = (-3 ± √297) / 4
w ≈ 3 or w ≈ -9
We can ignore the negative solution since the width of the rectangle must be positive. Therefore, the width of the rectangle is approximately 3 yards.
Using the expression for the length of the rectangle in terms of the width, we can find the length:
l = 2w + 3
l = 2(3) + 3
l = 9
Therefore, the dimensions of the rectangle are 3 yards by 9 yards.
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you come across a bomb that is about to go off if you do not stop it! to neutralize the bomb, you must get exactly four gallons of water in the empty tub to which it is attached. the only equipment you have is one empty 3-gallon jug, one empty 5-gallon jug and an unlimited supply of water. there are no markings on the jugs or the tub. the only thing you know is that one jug is 3-gallon and the other jug is 5-gallon. the jugs have to be completely filled. you cannot make eyeball assumptions about a half-filled jug. you have to make sure you get exactly 4 gallons in the tub. what do you do?
Fill the 3-gallon jug all the way.
Pour those 3 gallons of water into the 5-gallon jug.
Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).
Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.
Empty the 5-gallon jug.
Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.
Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1 gallon already in there, and leaves you with exactly 4 gallons.
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Fill the 3-gallon jug all the way.
Pour those 3 gallons of water into the 5-gallon jug.
Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).
Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.
Empty the 5-gallon jug.
Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.
Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1-gallon already in there, leaves you with exactly 4 gallons.
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Help pleaseeeee I will try and give brainliest
Answer:
the answers B c=35h+50
Step-by-step explanation:
Answer:
the answer is D. c= 85h
Step-by-step explanation:
i think this is the answer if it is correct plz give brainliest.
is 0.59 a repeating decimal
Answer:
No
Step-by-step explanation:
the accompanying table shows students' scores from the final exam in a history course. scores cumulative frequency 50 up to 60 16 60 up to 70 38 70 up to 80 63 80 up to 90 92 90 up to 100 100 how many of the students scored at least 70 but less than 90?
29 students scored at least 70 but less than 90, which is evaluated by using the cumulative frequency.
To discover the number of understudies with scores more noteworthy than or rise to 70 but less than 90, we have to discover the cumulative frequency of scores between 70 and 90.
From this table, ready to see that the total frequency of scores up to 70 is 63, and the total frequency of scores up to 90 is 92. So the number of understudies with scores over 70 and underneath 90 is:
Cumulative frequency of outcomes up to 90 - Cumulative frequency of outcomes up to 70
= 92 - 63
= 29
Therefore, 29 students scored at least 70 but less than 90.
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PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
The ordered pair (- 2, - 7.5) represents the location of point P. The ordered pair (4, 3) represents the location of point Q. What is the rate of change of with respect to for this function?
The rate of change of with respect to for this function is 1.75.
What is the rate of change of with respect to for this function?From the question, we have the following parameters that can be used in our computation:
P = (-2, -7.5)
Q = (4, 3)
Using the two given points, we can find the slope of the line passing through them using the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-2, -7.5) and (x2, y2) = (4, 3)
slope = (3 - (-7.5)) / (4 - (-2))
= 10.5 / 6
= 1.75
Hence, the rate of change (i.e., the slope) of the line passing through points P and Q is 1.75.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=−16x^{2} + 157x+104
Suppose the number of years that a computer lasts has density f(x) = { s 8x if x > 2 otherwise. 0 a) Find the probability that the computer lasts between 3 and 5 years. b) Find the probability that the computer lasts at least 4 years. c) Find the probability that the computer lasts less than 1 year. d) Find the probability that the computer lasts exactly 2.48 years. e) Find the expected value of the number of years that the computer lasts.
If the number of years that a computer lasts has density f(x) = { s 8x if x > 2 otherwise. 0, then (a) the probability that the computer lasts between 3 and 5 years is 64, (b) the probability that the computer lasts at least 4 years is 1 (or 100%), (c) the probability that the computer lasts less than 1 year is 4, (d) the probability that the computer lasts exactly 2.48 years is 0., and (e) the number of years that the computer lasts is undefined.
To find the probabilities and expected value, we need to integrate the given density function over the respective intervals. Let's calculate each part step by step:
a) Probability that the computer lasts between 3 and 5 years:
To find this probability, we need to integrate the density function f(x) over the interval [3, 5]:
P(3 ≤ x ≤ 5) = ∫[3,5] f(x) dx
Since the density function f(x) is defined piecewise, we need to split the integral into two parts:
P(3 ≤ x ≤ 5) = ∫[3,5] f(x) dx
= ∫[3,5] 8x dx (for x > 2)
= ∫[3,5] 8x dx
= [4x^2]3^5
= 4(5^2) - 4(3^2)
= 4(25) - 4(9)
= 100 - 36
= 64
Therefore, the probability that the computer lasts between 3 and 5 years is 64.
b) Probability that the computer lasts at least 4 years:
To find this probability, we need to integrate the density function f(x) over the interval [4, ∞):
P(x ≥ 4) = ∫[4,∞) f(x) dx
Since the density function f(x) is defined piecewise, we need to split the integral into two parts:
P(x ≥ 4) = ∫[4,∞) f(x) dx
= ∫[4,∞) 8x dx (for x > 2)
= ∫[4,∞) 8x dx
= [4x^2]4^∞
= ∞ - 4(4^2)
= ∞ - 4(16)
= ∞ - 64
= ∞
Therefore, the probability that the computer lasts at least 4 years is 1 (or 100%).
c) Probability that the computer lasts less than 1 year:
To find this probability, we need to integrate the density function f(x) over the interval [0, 1]:
P(x < 1) = ∫[0,1] f(x) dx
Since the density function f(x) is defined piecewise, we need to split the integral into two parts:
P(x < 1) = ∫[0,1] f(x) dx
= ∫[0,1] 8x dx (for x > 2)
= ∫[0,1] 8x dx
= [4x^2]0^1
= 4(1^2) - 4(0^2)
= 4(1) - 4(0)
= 4 - 0
= 4
Therefore, the probability that the computer lasts less than 1 year is 4.
d) Probability that the computer lasts exactly 2.48 years:
Since the density function f(x) is defined piecewise, we need to check whether 2.48 falls into the range where f(x) is nonzero. In this case, it does not since 2.48 ≤ 2. Therefore, the probability that the computer lasts exactly 2.48 years is 0.
e) Expected value of the number of years that the computer lasts:
The expected value, E(X), can be calculated using the formula:
E(X) = ∫(-∞,∞) x * f(x) dx
For the given density function f(x), we can split the integral into two parts:
E(X) = ∫[2,∞) x * f(x) dx + ∫(-∞,2] x * f(x) dx
First, let's calculate ∫[2,∞) x * f(x) dx:
∫[2,∞) x * f(x) dx = ∫[2,∞) x * (8x) dx (for x > 2)
= ∫[2,∞) 8x^2 dx
= [8(1/3)x^3]2^∞
= lim(x→∞) [8(1/3)x^3] - (8(1/3)(2^3))
= lim(x→∞) (8/3)x^3 - 64/3
= ∞ - 64/3
= ∞
Next, let's calculate ∫(-∞,2] x * f(x) dx:
∫(-∞,2] x * f(x) dx = ∫(-∞,2] x * (s) dx (for x ≤ 2)
= 0 (since f(x) = 0 for x ≤ 2)
Therefore, the expected value of the number of years that the computer lasts is undefined (or infinite) in this case.
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I need help I dont know what to do
Answer:
c
Step-by-step explanation:
Answer:
5.1
Step-by-step explanation:
Hope this is correct
I don’t know the answer to pick can you help choose what the correct statement about the graph is thanks.
Write an equation for a circle in standard
form with a center at (-6, 5) and passes
through the point (-11, 3).
Answer:
is a way to express the definition of a circle on the coordinate plane. The formula is ( x − h) 2 + ( y − k) 2 = r 2. h and k are the x and y coordinates of the center of the circle. ( x − 9) 2 + ( y − 6) 2
Step-by-step explanation:
Hope it helped the answer is up there☝
1. Use "decomposing" to answer the question bellow.
A. What is the area of square E?
B. What is it's side length?
2. If √17 (square root of 17) is a side length of a square, what does that mean about the area? Explain.
3. What is a rational number? Give an example.
4. What is an irrational number? Give an example.
Estimate the value of √70 (square root of 70). Show your work and explain.
Answer:
1A: 29 units²
1B: √29 units
2, 3, 4. see below
5. between 8 and 8.5
Step-by-step explanation:
1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.
Area = 4(0.5)(5 x 2) + (3²) = 29 units²
1B: Square root your answer in 1A. √29 units
Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units
2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.
3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4
4. A number that cannot be expressed as a fraction. E.g. π, e, √3
5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.
Can you guy's please help. A concert hall has 3,288 seats .
rounded to the nearest hundred, about how many seats are in the concert hall?
Answer:
3,300
Step-by-step explanation:
A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.
What is the probability that a student chooses drama as an elective?
5 percent
7 percent
33 percent
37 percent
The probability that a student will choose drama as an elective is 7 percent.
How to find the probability?The probability that a student will choose drama only, when it comes to choosing an elective can be found by the formula for finding the probability that student chooses art or drama:
Probability that student chooses art or drama = Probability of choosing art as an elective + Probability of choosing drama - Probability of choosing both art and drama
Solving for the probability of picking drama gives:
Probability of choosing drama = Probability that student chooses art or drama - Probability of choosing art as an elective + Probability of choosing both art and drama
= 20% - 15% + 2%
= 7%
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how to find the roots of a third degree polynomial
To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.
The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.
If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.
It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.
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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.
To find the roots of a third degree polynomial, we can follow these steps:
First, check if there are any rational roots using the Rational Root Theorem. The Rational Root Theorem states that if a polynomial has a rational root, it will be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.Use synthetic division to divide the polynomial by a linear factor. Synthetic division is a method used to divide a polynomial by a linear factor, which helps us find the remaining quadratic equation.Factor the quadratic equation obtained from synthetic division. This can be done by using the quadratic formula or by factoring further if possible.Once the quadratic equation is factored, we can find the roots by setting each factor equal to zero and solving for the variable.Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.
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Explain how you can use the exterior angle theorem to calculate the measure of < pmu
when finding a minimum in a linear programming problem, it is possible to find more than one minimum value. yes or no
The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.
In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'
We need to state whether it is true or false.
We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.
Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.
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What must you do before adding the equations?
Before adding equations, one must first understand the problem and identify what you are trying to solve.
we must also make sure that both equations are written in the same form, and that all variables are written in the same order. we should also check to make sure that each equation contains the same number of terms and that all terms have the same variables.
Finally, we should check to make sure that the equations have the same number of unknown, so that the equations can be added together. If any of these conditions are not met, we should simplify the equations or manipulate them until all conditions are met.
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Find the 50th term of an arithmetic sequence 5, 10, 15,
20, 25,...
Answer:
a₅₀ = 250
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then
a₅₀ = 5 + (49 × 5) = 5 + 245 = 250
7. The quality control division of Rothschild's Blueberry Farm randomly inspects 100 of the containers in the truck being
sent to Stop and Shop. Identify the population and sample given in this scenario.
The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Population: The containers of blueberries that are being sent to Stop and Shop.
Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
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A travel industry researcher interviews all of the passengers on five randomly selected cruises. What sampling technique is used
The sampling technique used in this scenario is known as cluster sampling.
Cluster sampling involves dividing the population into groups or clusters and then randomly selecting entire clusters to include in the sample.
In this case, the population is all the passengers on different cruises, and the clusters are the five randomly selected cruises.
Cluster sampling is a practical and efficient method when it is difficult or costly to obtain a complete list of all individuals in the population.
By selecting entire clusters (in this case, cruises) rather than individual passengers, the researcher can simplify the sampling process and reduce costs.
However, it's important to note that cluster sampling introduces a potential source of bias.
If there are significant differences between the clusters, such as varying demographics or preferences among different cruises, the sample may not be fully representative of the entire population.
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Please help me with this is so important
Step-by-step explanation:
78 + 119 + 105 + (180 - x) = 360
482 - x = 360
482 - 360 = x
122 = x
x = 122°
Answer:
it is trapezium and all angles value is 360 degree and three angles values are given then let unknown angle be y and add three angles then subtract value from 360 degree then add the value with x and subtract that value from 180 degree
Question number 3 please help
Answer:
24
Step-by-step explanation:
8 for every 10
30/10 = 3
8 x 3=24
What accountants and auditors do?.
Accountants and auditors create and review financial records, spot possible risk and opportunity areas, and provide individuals and organisations solutions. They guarantee the accuracy of financial records, the assessment of data and financial risks, and the correct payment of taxes.
Accountants;-
An accountant is a specialist who manages bookkeeping and organises the financial records you use to run your company, including balance sheets, profit and loss statements, and more. They simplify all the financial jargon associated with running a business, audit your records, create reports for tax purposes, and more.
Auditors;-
An organization's audit is to be conducted by an auditor, who may be an individual or a company. An audit is a planned, methodical procedure that involves looking over books, records, accounts, or other documentation.
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Help help please!!
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) slope = -7/5, y-intercept = -4
2) slope = 1/5, y-intercept = -5
Answer:
1). y = -7/5x - 4
2). y = 1/5x - 5
Step-by-step explanation:
In this question, we have to write the slope-intercept form of the given information.
Slope intercept form is: y = mx + b
Our "m" value is our slope and our "b" value is our y-intercept.
With that knowledge, we can plug in our given information to the slope-intercept equation:
1) slope = -7/5, y-intercept = -4
Plug -7/5 to "m" and -4 to "b"
y = -7/5x - 4
2) slope = 1/5, y-intercept = -5
Plug 1/5 to "m" and -5 to "b"
y = 1/5x - 5