The garbage collector earns PHP 18,720 for good service in 26 weeks or 6 months.
What do you mean garbage?
Waste materials that are thrown by people under various names—garbage, trash, junk, or refuse—usually reflect a perception of their lack of utility. Typically, the word excludes poisonous wastes, body wastes, and wastes that are only liquid or gaseous. Garbage is frequently categorized and categoriszed into types of materials appropriate for particular types of disposal.
Lets assume an ideal situation in 6 months, 3 months will have 31 days and 3 months will have 30 days.
So, total days in 6 months = 3(30) + 3(31)
total days in 6 months = 183
A week contains 7 days:
So, total number of weeks = days in 6 months/7
total number of weeks = 183/7
total number of weeks = 26.14
So, the garbage collector gives service of 26 weeks in 6 months.
Since, he receives 80 each from 9 households in a week.
so, total earning in a week = 80(9) = 720
Total earning in 6 months = weeks in 6 months (earning of 1 week)
Total earning in 6 months = 26 (720)
Total earning in 6 months = 18,720
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a certain population of bacteria doubles every 10 minutes. if the number of bacteria in the population initially was 104, what was the number in the population 1 hour late
An hour later, the number of bacteria in the population was 6656.
To solve the how many bacteria are there in the population, use the exponential growth function.
Exponential growth and decay functions are written in standard form as
A = A₀•b^kt
where A = final amount
A₀ = initial amount = 104
b = growth factor = 2
k = growth rate = 1/10 minutes
t = time = 1 hour = 60 minutes
Plug in the values to the equation and solve for the final amount, A.
A = A₀•b^kt
A = 104•(2)^(1/10 minutes)(60 minutes)
A = 104•(2)^(6)
A = 104•64
A = 6656
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The circulation of a newsletter decreased from 6500 to 3575. What was the percentage decrease in circulation?
Answer:
Step-by-step explanation:
6
A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $9.10 per pound with a House coffee blend that normally sells for $12.10 per pound to create 30 pounds of a coffee that can sell for $10.10 per pound. How many pounds of each kind of coffee should they mix?
Taking into account the definition of a system of linear equations, the coffee distributor needs to mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.
System of linear equationsA system of linear equations is just a set of two or more linear equations with the same unknowns, of which a common solution needs to be found. That is, the solution is a point (x,y) that satisfies both equations.
In other words, a system of equations is a set of related equations by means of the same variables in which the values of said unknowns must be sought, with which, when replaced, they must give the solution proposed in both equations.
Amount of pounds of each kind of coffeeIn this case, a system of linear equations must be proposed taking into account that:
"o" is the amount of pounds of Organic Free Trade coffee blend that a coffee distributor needs to mix."h" is the amount of pounds of House coffee blend that a coffee distributor needs to mix.You know:
A coffee distributor needs to mix a(n) Organic Free Trade coffee blend that normally sells for $9.10 per pound with a House coffee blend that normally sells for $12.10 per pound.The coffee distributor create 30 pounds of a coffee that can sell for $10.10 per pound.The system of equations to be solved is
o + h= 30
o9.10 + h12.10= 10.10×30
There are several methods to solve a system of equations, it is decided to solve it using the substitution method. This method consists of, having a system that has two equations with two unknowns, isolating one of the unknowns of one of the equations and substituting the expression obtained in the other. You can choose any of the variables and any of the equations. In this way, the value of one of the variables is obtained, which when replaced in the expression obtained in the first step, the other variable is obtained.
In this case, isolating the variable "o" from the first equation:
o=30 -h
Replacing this expression in the second equation:
(30 - h)×9.10 + h12.10= 10.10×30
Solving:
30×9.10 - h9.10 + h12.10= 10.10×30
273 - h9.10 + h12.10= 303
- h9.10 + h12.10= 303 - 273
3h= 30
h= 30÷ 3
h= 10
Remembering that o=30-h, you get:
o= 30 -10
o= 20
This means that they should mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.
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A parabola can be drawn given a focus of
(3, -9) and a directrix of y = -5. Write
the equation of the parabola in any form.
The equation of parabola is y = -8(x -3)² - 9.
Define parabola.A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Focus = (3, -9)
Directrix: y = -5
The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.
The parameter of the parabola is the separation between the focus and the directrix, so
p = -9 - 3
p = -12
p = 12
The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).
Since a parabola moves in the opposite direction of y, its equation is
y -(-9) = -2(4(x -3)²)
y + 9 = -8(x-3)²
y = -8(x -3)² - 9
The equation of parabola is y = -8(x -3)² - 9.
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A gallon of paint will cover about 300 square feet of wall space. a painting contractor needs to paint about 32,500 square feet of wall. how many gallons of paint are needed?
Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.
given:
A gallon of paint will cover about 300 square feet of wall space,a painting contractor needs to paint about 32,500 square feet of wall.
now we can divide our paint area by 300 feet squared per gallon
gallons of paint needed = 32500 /300
= 108.33
since 0.33 is not sold at stores,we need 109 gallons of paint.
Hence Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.
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simplify the logarithmic of the following
A logarithm is a power that requires a number to be raised to another power to get another number.
A logarithmic equation is an equation containing the logarithm of an expression involving variables. To solve the exponential equation first, see if you can write both sides of the equation as powers of the same number. A logarithm table is used to find the value of the logarithm function. The easiest way to find the value of a particular logarithmic function is to use a log table.
Richter Scale Earthquakes are measured on the Richter scale which is a base 10 logarithmic scale. This scale measures the magnitude of earthquakes. H. Amount of energy released in the process. Each increase on this scale increases the size by a factor of 10. Logarithmic scales are useful for quantifying relative changes in values rather than absolute differences.
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2, 8, 14, 20, 26... Look at the pattern above. What will the next number in the pattern be?
Answer:
32
Step-by-step explanation:
you just keep adding 6, simple :)
Answer:
32
Step-by-step explanation:
pattern: +6
∴ next number in pattern = 26 + 6
= 32
Katie is building a model of a building based on a scale of 1 cm = 4 ft. If the model of the building is 41 cm tall, what is the height of the actual building
Answer: 164ft
(this is for the extra characters)
The mean cost of a box of cheerios oat crunch is $4. 00 and the variance is. 35. If the price increases by 25 cents a box, what is the new variance?.
The new variance for the data is 0.35 .
In statistics and probability theory, variance is the predicted squared deviation of a stochastic process from its mean or actual values.
Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance.
A few ideas that involve variance are descriptive statistics, parameter estimation, testing hypotheses, quality of fit, and Monte Carlo sampling.
Variance is a vital tool in the fields where statistical data analysis is widely used.
The standard deviation squared is a measure of the variance, which is also referred to as the second systematic of a distribution and the correlation between the random variable and itself.
We know that variance = (standard deviation)²
When the value of the data increases by 25 cents a box , then the standard deviation will remain the same as the mean will only increase and the change in mean has no effect on the SD.
Hence the variance will effectively remain the same.
therefore the new variance is 0.35
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the question is:Lin's dad bought a tablet. He pays the same amount each month for a subscription to a movie streaming service. The graph represents how much money he has spent, y, for the tablet and x months for the service. the slope of the line is 10.
The equation of a line is y=mx+b
m is the slope
b is the y intercept
Looking at the graph, the y intercept is 10 because the line crosses the y-axis at 10
Since they said the slope is 10, the equation of the line is:
y=10x+10
upper and lower bound of a number rounded to nearest whole
The upper and lower bounds of each of the numbers are;
1a) Upper bound of 6 = 6.5
Lower bound of 6 = 5.5
b) Upper bound of 83 = 83.5
Lower bound of 83 = 82.5
c) Upper bound of 152 = 152.5
Lower bound of 152 = 151.5
The range as intervals of inequality are;
i) 5.5 ≤ x ≤ 6.5
ii) 82.5 ≤ x ≤ 83.5
iii) 151.5 ≤ x ≤ 152.5
What is the Upper bound and lower bound of the number?The procedure to identify the upper and lower bounds is;
1) Identify the place value of the degree of accuracy stated.
2) Divide this place value by 2.
3) Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.
ai) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 6 = 6 + 0.5 = 6.5
Lower bound of 6 = 6 - 0.5 = 5.5
ii) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 83 = 83 + 0.5 = 83.5
Lower bound of 83 = 83 - 0.5 = 82.5
iii) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 152 = 152 + 0.5 = 152.5
Lower bound of 152 = 152 - 0.5 = 151.5
bi) The range as an inequality is;
5.5 ≤ x ≤ 6.5
ii) The range as an inequality is;
82.5 ≤ x ≤ 83.5
iii) The range as an inequality is;
151.5 ≤ x ≤ 152.5
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-7/8u = -21 solve for u and simplify your answer as much as possible
Answer: u = 1/24
Step-by-step explanation:
-7/8u = -21
Multiply both sides by 8u
(8u) -7/8u = -21 (8u)
-7 = -21 (8u)
Divide by -21
-7/-21 = 8u
1/3 = 8u
Divide by 8
(1/3)/8 = u
When dividing fractions, flip and multiply
(1/3) (1/8) = u
u = 1/24
It works if you plug it back in, hope this helps
Can someone pls help
ADJACENT SIDE IS THE SIDE WHICH THE ANGLE IS LYING ON WE CAN LITERALLY SEE THAT THE ANGLE □ IS LYING ON SIDE EF MEANING SIDE EF IS THE ADJACENT SIDE.
SECOND OPTION IS THE ANSWER.
True or False. These two expressions are equivalent.
6x + 10 and 2(x+5)
true or false
Answer:
Step-by-step explanation:
These two equations are not equivalent. 2(x+10) can be simplified to 2x+10, which would not be equal to 6x+10. So, the answer to your question would be false.
write an equation of a line that is perpendicular to the line y-8=4(x-5)
Equation of the new perpendicular line is [tex]y - y_{1} = -\frac{1}{4} (x- x_1)[/tex]
How to calculate the new perpendicular line?
The given equation is:
y- 8=4 (x-5)
This equation is of the point- slope form
[tex]y- y_{1}= m(x-x_{1})[/tex]
y - 8 = 4( x-5 )
So, the slope (m) is m = 4
The points [tex](x_1,y_1) = (5,8)[/tex]
Hence, slope of the line perpendicular to the given line is
m = [tex]-\frac{1}{4}[/tex]
The equation of the new perpendicular line is :
[tex]y- y_{1}= m(x-x_{1})\\\\y - y_{1} = -\frac{1}{4} (x- x_1)[/tex]
Since the points through which the line passes is not given.
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The area of a rectangle is x^2-3x-18.What are the dimensions?
Factor the trinomial to find a possible combination of dimentions that the rectangle could have:
[tex]x^2-3x-18[/tex]To factor the trinomial, remember that the following product of binomials is equal to:
[tex](x+a)(x+b)=x^2+(a+b)x+ab[/tex]Then, we need to find two numbers a and b such that their product is equal to the constant term -18 and their sum is equal to the linear coefficient -3.
Since the product is negative, one number is negative and the other is positive.
Since the sum is negative, the greatest number is negative.
Two numbers whose difference is 3 and whose product is 18 are 6 and 3.
Notice that:
[tex]\begin{gathered} -6+3=-3 \\ (-6)(3)=-18 \end{gathered}[/tex]Then:
[tex]x^2-3x-18=(x-6)(x+3)[/tex]Therefore, the dimensions of the rectangle, are:
[tex](x-6)\text{ and }(x+3)[/tex]Solve the inequality for X
-24X is less than or equal to 2X -10 is less than -6
The solution to the inequality expression is 5/13 ≤ x < 2
How to determine the solution to the inequality?The inequality expression is given as
-24x is less than or equal to 2x -10 is less than -6
Rewrite the expression properly as follows
-24x ≤ 2x - 10 < -6
Expand the expression
So, we have the following expression
-24x ≤ 2x - 10 and 2x - 10 < -6
Evaluate the like terms in the above statements
So, we have
-26x ≤ - 10 and 2x < 4
Divide the constants by the coefficient of x
So, we have
x ≥ 5/13 and x < 2
Rewrite as
5/13 ≤ x and x < 2
Combine the inequalities
5/13 ≤ x < 2
Hence, the solution is 5/13 ≤ x < 2
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If m∠LMN=43°
and ∠LMN≅∠OMP,
what is m∠NMP?
The measure of angle ∠NMP will be equal to 94 degrees.
What is congruency of triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. We can prove two triangles to be congruent using any of the four mentioned rules or criteria's
SSS ruleSAS rule ASA ruleAAS ruleGiven is ∠LMN = 43° and ∠LMN ≅ ∠OMP
Now, since it is given that ∠LMN ≅ ∠OMP, we can say that -
∠LMN = ∠OMP = 43°
Now, assume that ∠NMP equals to β°.
Since, LMO is a straight line, we can write -
∠LMN + ∠NMP + ∠OMP = 180°
43 + β + 43 = 180
β = 180 - 86
β = 94°
∠NMP = β = 94°
Therefore, the measure of angle ∠NMP will be equal to 94 degrees.
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[Refer to the image attached for complete question]
(x⁴)²x‐³______x⁵x⁹I'm trying to do this exercise in this exercise book preparing me for a GED I have in November I have not done math in 20 years could you help me with this exercise I have like 10 exercises so much for this and if you can help me step by step so I know how to do the this one then I could do the other ones myself I would greatly appreciate it
Round each value TENS Hundreds Thousands 676 5675 7641 13086 15 367 12758 92071 65289
--------------------------------------
[tex]\begin{gathered} 5675\colon \\ Teens=5680 \\ Hundreds=5700 \\ Thousands=6000 \end{gathered}[/tex]---------------------------------------------------------
[tex]\begin{gathered} 7641\colon \\ Teens=7640 \\ Hundreds=7600 \\ Thousands=8000 \end{gathered}[/tex]---------------------------------------------------------
[tex]\begin{gathered} 13086\colon \\ Teens=13090 \\ Hundreds=13100 \\ Thousands=13000 \end{gathered}[/tex]--------------------------------------------------------
[tex]\begin{gathered} 15367\colon \\ Teens=15370 \\ Hundreds=15400 \\ Thousands=15000 \end{gathered}[/tex]-----------------------------------------------
[tex]\begin{gathered} 12758\colon \\ Teens=12760 \\ Hundreds=12800 \\ Thousands=13000 \end{gathered}[/tex]-------------------------------------------
[tex]\begin{gathered} 92071\colon \\ Teens=92070 \\ Hundreds=92100 \\ Thousands=92000 \end{gathered}[/tex]----------------------------
[tex]\begin{gathered} 65289\colon \\ Teens=65290 \\ Hundreds=65300 \\ Thousands=65000 \end{gathered}[/tex]The length of the square is 12in what is the area of the shaded region
The square has sides of 12 in and the area of a square is side × side. The area of the shaded region exists 144 sq. in.
How do we find the area of a square?The area of a square can be estimated by squaring the number describing the measure of the side of the square.
The area of a shape exists as the number of unit squares needed to completely cover it. Therefore, it exists calculated and expressed in square units.
The area of a square exists equivalent to (side) × (side) square units. The area of a square when the diagonal, d, exists given exists d²÷2 square units.
The square has sides of 12 in and the area of a square is side × side. Therefore, the area exists 12² which is 144 sq. in.
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Question 1 (Essay Worth 10 points)
(05.01 HC)
n
Larry and Peggy are making decisions about their bank accounts, Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly
Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all
work.
$394.51 is future value of money after 2 years.
What future value means?
A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time. Investors and financial planners use the future value to project how much an investment made now will be worth in the future.The method that results in more money after 2 years is Peggy's investment.
Which method results in more money in 2 years?
The formula for calculating the future value of an investment:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379
Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51
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find the value of x and a equals -2
Answer:
If the question was find the value of a when a equal -2, then the answer is a = -2
IM VERY CONFUSED ON THIS AND I NEED N EXPLANATION ON HOW TO FIGURE IT OUT
The equation of this straight line is equal to y = 3x.
How to calculate the slope of a line?In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
By critically observing the given graph, we can logically deduce the following points:
Point (x, y) = (0, 0)
Point (x, y) = (3, 9)
Substituting the given points into the formula, we have;
Slope = (9 - 0)/(3 - 0)
Slope = 9/3
Slope = 3
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.Note: The y-intercept of this graph is equal to zero (0).
Substituting the parameters into the equation of a straight line, we have;
y = 3x + 0
y = 3x
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Alyssa has saved up throughout the year and currently has $144.Of that she spent 5/8 at her favorite store.How much money did Alyssa spend at her favorite store?
Alyssa spent $90 at her favorite shop.
It has to do with algebra.
Describe algebra.the area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.
Alyssa currently possesses $144.
She spent 5/8 of that amount at her favorite store.
= (5 * 144) ÷ 8
After solving, we obtain the value $90.
As a result, Alyssa spent $90 at her favorite retailer.
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the most common type of observational study is a(n) . a. debate b. statistical inference c. survey d. experiment
The most common type of observational study is a Survey.
What is an observational study ?A study involving the measurement of variables that are not under the control of the researcher due to a specific logical problem. Experiments involve well-designed studies of the effect of one variable on another. Statistical inference is the process of making inferences about a population based on the results of a sample study. A debate is a formal discussion of a particular topic in a well-organized manner, in which opposing arguments are debated and finally the final argument is voted on. A survey is a data collection technique that investigates the characteristics of a sample of a population.Observe the change in behavior of the independent variable. Don't add prejudice. Use surveys to get information about variables.
CalculationIn the study, the independent variable is observed only for its behavior. Variables naturally exhibit variation. Researchers must not be biased when conducting research. Fundamentally, surveys help us obtain information about social parameters.
Step: 1
An experiment is a well-planned study of any particular cause and effect relationship between variables of interest. A debate is the form of discussion in which a conclusion is to be summarized at last. The statistical inference is a very crucial subject involving the predictions about population parameters based on sample statistics. The survey is the method of collection of information on variables which are not under the control of the experimenter.
The analysis defines various terminologies intermixed with the right answer to the question of interest.
Step: 2
An observational study is mostly conducted in the form of questionnaire. The questionnaire involves question regarding the issue to be studied. The most common type of observational study is a Survey.
Most of the observational studies are carried out in the form of surveys.
The most common type of observational study is a Survey.
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On a math test, Sarah has to identify all the coefficients and constants of the expression 4+n+7m. Sarah identifies the only coefficient as 7 and the only constant as 4.
Answer:
Step-by-step explanation:
doesn't that mean that n & m are variables
Answer:
Step-by-step explanation:
The answer is 7The answer is 4 and nHer error was that she only put 4 as the constant but constants are both numbers and letters on their own.A 5 foot tall person standing near a tree casts a shadow 8 feet long. At the same time, the tree casts a shadow that is 24 feet long. The triangles shown in the diagram are similar.
What is the value of x, the height of the tree?
30 ft.
12 ft.
15 ft.
2.5 ft.
Answer:
Step-by-step explanation: 12 ft just had a test on this
how do you solve for percents
Answer:
for calculator steps
Step-by-step explanation:
-Find out what 1% of the whole amount (B) is - to do this you divide it by 100.
-Once you know the value of 1% you can multiply this amount by the number of percent you want to find.
-If you want to find 10% of 50 you divide 50 by 100.
-From this you know that 1% of 50 is 0.5
-So to find 10% you just multiply 0.5 by 10
-0.5 x 10 = 5
-10% of 50 = 5
Do the ratios 11 14 and 1 2 form a proportion?
Answer:No
Step-by-step explanation:
Cross multiply
11x2=22; 14x1=14
14 and 22 are not equal, Thus it does not form a proportion.
