Answer:
The amount budgeted for Auto expenses is $100,000 * 14% = $14,000.
Step-by-step explanation:
lisle and linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and linda walks 2.8 kilometers every 30 minutes. how far apart are they after 1 hour?
The total distance between lisle and Linda will be 10.4 kilometers.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that lisle and Linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and Linda walks 2.8 kilometers every 30 minutes.
lisle's distance in an hour:-
0.8 x 6 = 4.8 Km
Linda's distance in an hour:-
2.8 x 2 = 5.6 Km
Total distance = 4.8 + 5.6 = 10.4 Km
Therefore, there will be 10.4 kilometers between Lisle and Linda overall.
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two airplanes leave chicago at the same time and fly in opposite directions. if one travels at 430 miles per hour and the other at 570 miles per hour, how long will it take for them to be 2000 miles apart?
The time taken by the planes when they are 2000 miles apart is 2 hours.
We all know that formula of distance, speed and time is given by distance = speed*time or time = distance/speed
Let x be the number of hours that the two planes will be 2000 miles apart.
Let 430x be the distance traveled by the first plane at 430 miles per hour
and 570x be the distance traveled by the second plane at 570 miles per hour.
here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane
Solving yields the following steps:
1000x = 2000
Dividing 1000 to both sides of the above equation, we get
1000x/1000=2000/1000
So the value of x will be equivalent to 2
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Find 3 ratios that are equivalent to the given ratio 7 over 6
a culture initially contains 2000 bacteria. if the number of bacteria doubles every 3 hours, how many bacteria will be in the culture at the end of 14 hours?
By using the unitary method and dividing the time into equal intervals, the number of bacteria doubled every 3 hours, the final total of 32,000 bacteria after 14 hours.
Unitary method involves dividing the time interval into equal parts, and calculating the growth for each unit of time before adding them all up to get the total growth.
To start, let's divide the 14 hours into 3 hour intervals. We have
=> 14 hours / 3 hours = 4 intervals.
Next, we need to calculate the growth in each 3 hour interval. Since the number of bacteria doubles every 3 hours, we can find the growth by multiplying the initial number of bacteria by 2.
Starting with the first interval, we have 2000 bacteria * 2 = 4000 bacteria.
We can now repeat this calculation for each interval, multiplying the previous total by 2 each time.
For the second interval, we have 4000 bacteria * 2 = 8000 bacteria.
For the third interval, we have 8000 bacteria * 2 = 16,000 bacteria.
Finally, for the fourth interval, we have 16,000 bacteria * 2 = 32,000 bacteria.
So, at the end of 14 hours, there will be 32,000 bacteria in the culture.
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The bearing of a plane from an airport is 065°.
Calculate the bearing of the airport from the plane.
The bearing of the airport from the plane is calculated as; 245 degrees
How to calculate the bearing angle?The parameter given is that the bearing from the airport to the plane is 65 degrees.
From the the diagram I have attached, since the bearing from airport to plane is 65 degrees, we see that the bearing is calculated from North.
Thus, the 360° covering the North to the south in the clockwise direction is 180°
When the bearing required is from plane to bearing , the angle will be;
180 + 65 = 245 degrees
So the bearing from plane to airport will be = 245 degrees
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Solve the system of equations and confirm the accuracy of your estimate.
The point of intersection is (1.82, 1.45).
The equations of the two lines are:
y = 0.8x and y = -2.5x + 6.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is given by:
y = mx + c
From the graph,
Take two coordinates from each line.
One line:
(0, 0) and (2.5, 2)
m = (2 - 0) / (2.5 - 0)
m = 2/2.5
m = 0.8
(0, 0) = (x, y)
0 = 0.8 x 0 + c
c = 0
So,
y = 0.8x
Another line:
(2, 1) and (1, 3.5)
m = (3.5 - 1) / (1 - 2)
m = 2.5 / -1
m = -2.5
(2, 1) = (x, y)
1 = -2.5 x 2 + c
1 = -5 + c
c = 1 + 5
c = 6
So,
y = -2.5x + 6
Now,
The point of intersection is (1.82, 1.45).
0.8x = -2.5x + 6
0.8x + 2.5x = 6
3.3x = 6
x = 6/3.3
x = 1.82
And,
y = 0.8x
y = 0.8 x 1.82
y = 1.45
Thus,
(1.82, 1.45) is the point of the intersection.
y = 0.8x and y = -2.5x + 6 are the equation of the line.
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on a map, 2 cm represents 68 miles. how many miles away are two cities that are 7 cm apart on the map
Answer:
238 miles
Step-by-step explanation:
2cm=68 miles
2cm÷2=68 miles÷2
1cm = 34 miles
7cm x 34 miles
=238 miles
Evaluate the expression using the given value, and show your work.
a+ab when a=5 and b=2.
Please help, I'll vote brainliest! Try your best to show your work, as I have to do on my document.
The value of the expression for the condition is 15.
What is an expression?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities. The expression structure is as follows:
(Number/Variable, Math Operator, Math Operator) is an expression.
Given the expression,
a + ab and a = 5, b = 2
substitute the values of a and b in the expression we get,
a + ab = 5 + (5)(2)
multiply 5 and 2 we get 10
a + ab = 5 + 10
a + ab = 15
Hence the value is 15.
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Find the domain of f(x) = -√√²-4.
Ox≥ 2 orx≤ - 2
Ο x >2
0x2 -2 or x ≤ 2
O all real numbers
The domain of the given function is x≤-2
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The function f(x)=-√(√-4x)²
Simplifying the expression we get
f(x)=-√(√-4x)²
f(x)= -√-4x
Case 1) If the domain of x is greater than 2 then we have
f(3)=-√-12 which is a complex number and thus is not possible.
Case2 id x≤-2
then we have
f(-2)=-√8 which is not complex
Thus the feasible domain of the function is given by x≤-2
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given that the selected individual has at least one card, what is the probability that he or she has a visa card?
The probability that he or she has a visa card is 40%.
Probability is a mathematical concept that describes the likelihood of an event happening. In this case, the event is the selected individual having a visa card.
Let's assume that the individual has a total of n cards and v of those are visa cards. The probability of the individual having a visa card is given by the formula:
P(Visa) = v/n
This formula expresses the ratio of the number of successful outcomes (having a visa card) to the total number of possible outcomes (having any type of card).
The probability is expressed as a decimal or a percentage. If the individual has 5 cards and 2 of them are visa cards, then the probability of them having a visa card is
=> 2/5 = 0.4 or 40%.
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Prove the Isosceles Base Angles Theorem
Given: GB GD, GU bisects ZDGB
Prove: ZB ZD
Statements
1. GB = GD
2.
3.
4. GU GU
5.
6. ZB ZD
Reasons
1. Given
2.
3. Definition of bisects
4.
5.
6.
Answer:
The Isosceles Base Angles Theorem states that if two sides of a triangle are equal, then the angles opposite to those sides are equal.
Given: GB = GD
Since GB = GD, triangle ZDGB is isosceles.
By definition of bisects, GU bisects ZDGB.
By the Angle Bisector Theorem, ZG/ZU = GD/GU.
Because GB = GD, ZG = ZU.
By substitution, ZG/ZU = ZG/ZU. Hence, ZB = ZD.
Therefore, ZB ZD, which proves the Isosceles Base Angles Theorem.
factorise this equation x² - 33²
(x+33)(x-33)
Step-by-step explanation:
a²+b²=(a+b)(a-b) difference of two squares
x²-33²= (x+33)(x-33)
Answer: (x + 33)(x - 33)
What does factorise mean?
In maths, to factorise an expression means to put it in brackets in the max possible multiplication form. It is basically finding what to multiply to get an expression.
If you don't know what expression means: a collection of symbols such as numbers, variables and arithmetic operators that jointly express a quantity.
NOTE: There must be no equal sign in expressions. Equal sign in an expression makes it an equation.
Basic Factorization Formulas: (for your info, " ^ " means, to the power of)
a^2 – b^2 = (a – b)(a + b)(a + b)^2 = a^2 + 2ab + b^2(a – b) 2 = a^2 – 2ab + b^2a^3 – b^3 = (a – b)(a^2 + ab + b^2 )a^3 + b^3 = (a + b)(a^2 – ab + b^2 )(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca(a – b – c)^2 = a^2 + b^2 + c^2 – 2ab + 2bc – 2caNow if you see the formulas; the very first formula seems to match with the expression. If your wondering how,
a^2 - b^2 where , "a" can be replaced by x and, "b" can be replaced by 33 As a result, x^2 - 33^2 can be written in multiplication form as (x - 33)(x + 33)
Hope it helped! If you are still not clear, please get help from a tutor or videos on factorization. Thank you.
England and Scotland both produce scones and sweaters. Suppose that an English worker can produce 40 scones per hour or 1 sweater per hour. Suppose that a Scottish worker can produce 20 scones per hour or 2 sweaters per hour. _____________ workers have an absolute advantage in producing scones, _______________ workers have an absolute advantage in producing sweaters.
English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
How to get workers with absolute advantage?English workers have an absolute advantage in producing scones as they can produce 40 scones per hour,
while Scottish workers can only produce 20 scones per hour. On the other hand, Scottish workers have an absolute advantage in producing sweaters as they can produce 2 sweaters per hour, while English workers can only produce 1 sweater per hour.
Absolute advantage refers to the ability of a country or individual to produce a good or service more efficiently than another country or individual.
This means that the country or individual with the absolute advantage is able to produce the same good or service with fewer resources or in less time. In this case, each country has an absolute advantage in producing one of the goods, scones or sweaters.
Thus,English workers have an absolute advantage in producing scones, Scottish workers have an absolute advantage in producing sweaters.
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Order these numbers from least to greatest.
4 7/11, 37/8, 4.427, 4.42
The order of given numbers is 4.42<4.427<4.625<4.64.
How to compare to decimals?Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
The given numbers are [tex]4\frac{7}{11}[/tex] =4.64, 37/8 =4.625, 4.427, 4.42
From least to greatest is
4.42<4.427<4.625<4.64
Therefore, the order of numbers is 4.42<4.427<4.625<4.64.
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would you say that neymar and luis have the same tastes? that is, would both of them rank a given set of bundles equally?
No, it is average that Neymar and Luis would have the same tastes and rank a given set of bundles equally. Everyone has unique preferences and tastes that are shaped by their individual experiences.
It is unlikely that Neymar and Luis would have the same tastes and rank a given set of bundles equally. This is because everyone's preferences and tastes are shaped by their individual experiences. Even though Neymar and Luis may have similar backgrounds, they may have had different experiences that have shaped their tastes. For example, Neymar may have had a different upbringing than Luis, which may have resulted in different tastes and preferences. Additionally, Neymar and Luis may have had different life experiences that have shaped their individual tastes. Therefore, it is unlikely that Neymar and Luis would have the same tastes and rank a given set of bundles equally.
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you are given a system of 4 linear equations in 3 variables x, y, z. explain why it is impossible for the system to have exactly two solutions.
A system of 4 linear equations in 3 variables x, y, z can have at most one solution.
It is because a system with more than three equations and only three variables will not have a unique solution due to the fact that the dimension of the solution space of 3-dimensional equations is three, so adding an extra equation will result in an over-determined system.
In other words, there are not enough variables in the system to meet the requirements of all the equations, which leads to an over-determined system where there is either no solution or a unique solution. If the system has exactly two solutions, it means that the solution space of the system of equations has a dimension greater than 3, which contradicts the fact that the dimension of the solution space of a system of 3-dimensional equations is 3.
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find the volume of the composite solid. round your answer to the nearest tenth
Answer:
2488.46 ft³
Step-by-step explanation:
the composite solid consists of;
cone and cylinder
volume of a cone=⅓πrh
volume of a cylinder=πr²h
then sum up the volume
⅓×3.142×8×9= 75.408 ft³
3.142×8×8×12=2413.056
2413.056+75.408=
2488.46 ft³
what is 8 x 3 7/9
cuz i dont know
Step-by-step explanation:
hdhfjojfbnx zvcmbbczABMM CXFHEWT
cynthia jones recently surveyed 200 of her classmates to get a sense of the demand for a new software product she is working on. collecting data via a survey you administer yourself is referred to as research. question 6 options: a) secondary b) derivative c) primary d) initial e) direct
The survey conducted by Cynthia jones is an example of primary research
Primary research is a process used by researchers to acquire data directly rather than relying on data gathered from earlier study. They technically "own" the data. Primary research is conducted primarily to solve a specific problem that necessitates in-depth investigation.
There are two types of research:
Primary Research
Secondary Research
Businesses or organisations can do primary research themselves or hire a third party to do it on their behalf. One significant advantage of primary research is that it is "targeted," meaning that it is centered on a single topic or problem and all efforts are geared at obtaining relevant answers.
In Cynthia Jones's case, collecting data via a survey she administered herself is an example of primary research as she is collecting data directly from her classmates.
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-5y+9y please help me with this
Answer: answer is 4y
Step-by-step explanation:
Answer: 4y
Step-by-step explanation:
-5y + 9y - Collect like terms by calculating the sum or difference of their coefficients.
(-5 + 9)y - Calculate the sum
Which will leave you with the answer: 4y
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you are about to begin work on a swimming pool in your yard. the first step is to have a hole dug that is 30 feet long, 18 feet wide, and 6 feet deep. you will use a truck that can carry 20 cubic yards of dirt and charges $ 20 per load. how much will it cost you to have all the dirt hauled away?
It will cost you to have all the dirt hauled away [tex]6.43*10^{4}[/tex]
A COST Action is an interdisciplinary research network that unites scientists and entrepreneurs to study a subject of their choice for four years. SMEs, public institutions, academic researchers, and other pertinent entities or interested parties often make up COST Actions. The cost is the total amount of money spent by a company on the creation or production of goods or services. The markup for profit is excluded. The sum of money spent to create a good or product, as seen from the seller's perspective, is the cost. The expense incurred for manufacturing a good or rendering a service that is made available by a business is often referred to as the cost. The customer's willingness to pay determines the price of a good or service.
Based on the given condition,
Formulate
[tex]20*6*30*18[/tex]
Calculate the product or quotient
[tex]120*30*18=64800[/tex]
Simplify.
[tex]6.43*10^{4}[/tex]
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PLEASE I NEEED HELLLPPPPP ON THUS
Answer:
B
Step-by-step explanation:
Answer:
A. 37/100
Step-by-step explanation:
1. common denominator. so make 3/10 into 30/100.
2. subtract 30/100 from 67/100.
the answer is 37/100
X^2-14x=-49
Method 1:Factoring
I’m confused how on earth to do this? If someone could explain I would love that
Step-by-step explanation:
Move terms to the left side[tex]x {}^{2} - 14x = - 49[/tex]
[tex]x {}^{2} - 14x - ( - 49) = 0[/tex]
Use sum-product patternIdentify a, b and c in your equation and then find two numbers that when multiplied equal c, and when added equal b.
[tex]x {}^{2} - 14x + 49 = 0[/tex]
factorWrite your equation in factored form.
[tex](x - 7) {}^{2} = 0[/tex]
Set the factor(s) equal to zeroHere the two factors are the same, so there will be only one solution.
[tex]x - 7 = 0[/tex]
SolveRearrange and isolate the variable to find each solution.
[tex]x = 7[/tex]
20 POINTS PLS HELP solve for x and all missing angles
Answer:
19) x=10⁰ 20) x=17⁰
Step-by-step explanation:
19) angles in a straight line add upto 180⁰
6x-10⁰+4x⁰+6+7x+14⁰=180⁰
collect like terms
17x+10⁰=180⁰
17x=1170⁰
x=10⁰
20)58⁰ alternates with 4x-10 therefore;
4x-10⁰=58⁰
4x=58⁰+10⁰
4x=68⁰
x= 17⁰
identify the coefficient in the expression 3y plus 5
Answer:The coefficient in this expression is 3.
Step-by-step explanation:
What is a Coefficient?
By definition, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic.
What is a variable?
A variable is a symbol that represents a mathematical object. So for example, 9p + 2. In this equation, the variable would be the letter "p."
333b7jk,,,,,,,7h79p;'/'][
Answer:
Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine, whereas it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag, and the additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.75 each. Team B will sell the cotton candy for $0.80 per stick.
How many sticks of cotton candy will Team B need to sell to reach their goal?
The number of sticks of cotton candy Team B needs to sell to reach their goal is 125.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival,
and Team B wants to sell cotton candy.
It costs $15 to rent a popcorn machine,
whereas it costs $25 to rent a cotton candy maker.
The cost of additional supplies for the popcorn is $0.05 per bag,
and the additional cost for the cotton candy is $0.10 per stick.
Team A will sell the bags of popcorn for $0.75 each.
Team B will sell the cotton candy for $0.80 per stick.
The number of sticks of cotton candy Team B needs to sell to reach their goal is,
= 100/0.80
= 125
Therefore, the required number is 125.
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a researcher studied the distance that 150 people living in coastal regions of california walk each week. participants in the study wore pedometers that measured the number of steps taken, which was then converted into an estimate of the distance they walked each week in miles per week. the variable miles walked per week is:
The variable in the study is "miles walked per week", which represents the estimated distance that 150 people living in coastal regions of California walk each week.
The study aimed to understand the walking habits of people living in coastal regions of California by measuring the number of steps they take using pedometers. These steps were then converted into an estimate of distance traveled, and this estimate was used as the dependent variable in the study, referred to as "miles walked per week".
The goal of the study was to better understand the physical activity patterns of the participants and how it might relate to other factors, such as their health, lifestyle, and environment. The data collected could be analyzed to identify trends and make recommendations for promoting healthy physical activity.
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Rewrite f(t) = 0.4 * (1.16) ^ (t - 1) in the form y=a(1+r)^ prime .y=a(1-r)^ prime to determine whether it represents exponential growth or exponential decay Round a and to the nearest hundredth if necessary
Answer:
y = -0.916 * (1 - 0.140)^t
Step-by-step explanation:
f(t) = 0.4 * (1.16)^(t - 1)
To rewrite the equation in the form y = a(1 + r)^prime or y = a(1 - r)^prime, we can take the natural logarithm of both sides:
ln(f(t)) = ln(0.4) + (t - 1)ln(1.16)
ln(f(t)) = ln(0.4) + tln(1.16) - ln(1.16)
So,
y = ln(0.4) + tln(1.16)
Now we can rewrite this in the desired form by letting a = ln(0.4) and r = ln(1.16):
y = a + t * r
a = ln(0.4) = -0.916
r = ln(1.16) = 0.140
So,
y = -0.916 + 0.140 * t
y = -0.916 * (1 - 0.140)^t
This form of the equation shows that the function f(t) represents exponential decay. The value of "a" represents the initial value of f(t) and "r" represents the decay rate. Since r is negative, the function decreases over time, which means that the function represents exponential decay.
ABCD is a rectangle. if m EDC = 43 find ADB
Answer:
47
Step-by-step explanation:
We know, that the angle at the vertex of a rectangle is 90 degree
So, if a line drawn divides it into two angles, then one of them is complementary to the other.
Hence, ADB = 90 - EDC
= 90 - 43
= 47
