We can use the function to estimate the total amount of daylight for an entire year. enter the function into maple and use riemann sums (using midpoints for the height of the rectangles) to estimate the total amount of daylight when: a. n ______
A right Riemann sum has the formula A=∑ni=1Δxf(xi) A = ∑ i = 1 n Δ x f ( x i ) where x is the width of each of the n rectangles and f(xi) is the height.
what is is Riemann sum?A specific method of approximating an integral with a finite sum in mathematics is known as a Riemann sum. Riemann is the name of a German mathematician who lived in the 19th century. Approximating the area of functions or lines in graphs, as well as the length of curves and other approximations, is a highly typical application. The picked points in each subinterval of the partition are all in the upper Riemann sum, given an interval partition. The interval is often separated into subintervals of equal size.
Riemann sum formula is A=∑f(xi)Δx A = ∑ f ( x i ) Δ x ,
where A is the curve's area under the evaluable interval,
f(xi) f ( x i ) is each rectangle's height (or the average of the two heights in the case of a trapezoid)
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The Gonzalez family and the Walker family each used their sprinklers last summer. The Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour?
Gonzalez Family Sprinklers :
Walkers Family Sprinklers :
Gonzalez Family Sprinklers used 15 liters and Walkers Family Sprinklers used 40 liters.
What was the water output rate for each sprinkle?From the information, the Gonzalez family's sprinkler was used for 35 hours. The Walker family's sprinkler was used for 40 hours. There was a combined total output of 2125L of water.
Let Gonzalez = g
Let Walker = w
The equation will be:
g + w = 55 .... i
35g + 40w = 2125 ....
From equation i g = 55 - w
Put the above into equation ii
35g + 40w = 2125
35(55 - w) + 40w = 2125
1925 - 35w + 40w = 2125
Collect like terms
5w = 2125 - 1925
5w = 200
Divide
w = 200 / 5
w = 40
Walkers Family Sprinklers used 40 liters.
Since g + w = 55
g + 40 = 55
g = 55 - 40
g = 15
Gonzalez Family Sprinklers used 15 liters.
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Find x and the length of side UR
The value of x in the parallelogram is zero.
How to find the sides of a parallelogram?A parallelogram is a two-dimensional geometrical shape(quadrilateral) whose sides are parallel to each other.
Therefore, the properties of a parallelogram are as follows:
opposite sides are equalopposite sides are parallel to each otherThe opposite angles are equalEach diagonal bisects the parallelogram into two congruent trianglesThe consecutive or adjacent angles are supplementaryTherefore, let's find the value of x using the properties of a parallelogram.
Hence,
ST = RU
2x + 15 = x + 15
2x - x = 15 - 15
Therefore,
x = 0
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What is the relationship between corresponding angles if parallel lines are cut by a transversal 
_ Linear pair
_Congruent
_Supplementary
_Complemantary
Answer:
(b) _Congruent
Step-by-step explanation:
You want to know the relationship between corresponding angles where a transversal crosses parallel lines.
Corresponding anglesThe Corresponding Angles theorem tells you that corresponding angles at a transversal are congruent if and only if the lines are parallel.
Corresponding angles are congruent.
__
Additional comment
This fact is the basis for the simplest method of constructing a line parallel to a given line through an external point. (A transversal is drawn, and the angle is copied, making congruent corresponding angles.)
All of the other angle relationships at a transversal can be derived from this one using the usual relationships of linear pairs and vertical angles.
Write an expression to model the interest earned on each account, then find the balance of each option after 3 years. Complete the table. Round your responses to the nearest whole cent, if necessary.
The missing parts of the table for the compound interest problem are;
2) $487.91
3) 435(1.039)^(t) and $487.91
4) 435(e)^(0.039t) and $499
How to find the compound interest?1) In this account, we are given the formula for the compound interest as;
P(1 + rt)
The balance after t years is expressed as;
435(1 + 0.039t)
Balance after 3 years is;
435(1 + 0.039(3)) = $485.90
2) In this account, we are given the formula for the compound interest as;
P(1 + (r/n))^(nt)
The balance after t years is expressed as;
435(1.039)^(t)
Balance after 3 years is;
435(1.039)^(3) = $487.91
3) Same as 2 above
4) In this account, we are given the formula for the compound interest as;
P₀e^(rt)
The balance after t years is expressed as;
435(e)^(0.039t)
Balance after 3 years is;
435(e)^(0.039 * 3) = $499
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Questionaire image below
Answer:
15 years old45 liters of sugar solutionStep-by-step explanation:
You have ages in the ratio 3:5:7, with the average age being 25, and you want to know the age of the youngest. You have 45 L of a solution in the ratio sugar : salt = 1 : 2, and you want to know how much sugar solution to add to make the ratio 2 : 1.
AgesThe age ratios are an arithmetic progression with an odd number of terms, so the middle one is the average. That is, the average age of 25 years corresponds to 5 ratio units. Then the youngest boy is ...
3/5 × 25 = 15 . . . . years old
SolutionThe ratio 1 : 2 of sugar solution to salt solution tells you that the fraction that is sugar is 1/(1+2) = 1/3 of the whole amount, or ...
sugar solution = 1/3 · 45 L = 15 L
Then the salt solution is ...
salt solution = 45 L -15 L = 30 L . . . . . . . or (2/3·45 L)
To make the solution have twice as much sugar solution as salt solution, we need a total of 2·(30 L) = 60 L of sugar solution. We already have 15 L, so we need to add ...
added sugar solution = 60 L -15 L = 45 L
45 L of sugar solution must be added to make the sugar : salt ratio be 2 : 1.
__
Additional comment
The "solution" problem can also be worked by considering "ratio units." The original sugar:salt ratio is 1:2. To make it be 2:1 while keeping the salt constant, we need to increase the ratio from 1:2 to 4:2. That is, we need to add 4-1 = 3 units of sugar solution. The 45 L amount is the amount of 1+2=3 units of solution, so we need to add 45 L of sugar solution.
Chris completed a 100-meter breaststroke swimming race in 92.542 seconds.
Michael completed the 100-meter breaststroke swimming race in 95.6 seconds.
How much faster was Chris's time than Michael's?
Answer: C its C
Step-by-step explanation:
GOT DANG JUST READ THE ANSWER ITS CCCCCCCCCCCCCCCCCCCCCCCCCCCCC
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17; the probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375. If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
Statements must be true concerning event A and event B are that event A and B are independent and not mutually exclusive.
Define mutually exclusive event.Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events. Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.
Given
The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17.
The probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375.
Statements must be true concerning event A and event B:
Event A and B are independent and not mutually exclusive.
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Please find what the rent per unit needs to be to have a Net Operating Income (NOI) of $100,000.
Assumptions
Please use the following assumptions below:
Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income) 5%
Operating Expenses (% of Effective Gross Income) 30%
Number of Units 18
*Please fill out the blue area Rent per unit (per month)
Vacancy Rate (% of Potential Gross Income)
Operating Expenses (% of Effective Gross Income)
Number of Units
Applying the net operating income ratio, the rent per unit needs to be $8,354.22 to generate an NOI of $100,000.
What is the NOI?The net operating income (NOI) is the result of the subtraction of the operating expenses from the gross operating income.
The net operating income ratio can be computed by subtracting the given operating expenses ratio from the operating gross income, which represents 100%.
Total
Rent per unit (per month) = $696.19 ($8,354.22/12) $150,376
Vacancy Rate (5% of Potential Gross Income) 7,519
Effective Gross Income $142,857
Operating Expenses (30% of Effective Gross Income) 42,857
Net Operating Income (NOI) $100,000
Number of Units 18
Working Backwards:Gross operating income = net operating income + operating expenses
Operating expenses = 30% of effective gross income
Net operating income = 70% of effective gross income (100 - 30%)
= $100,000
Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)
Vacancy rate = 5% of potential gross income
Effective Gross Income = 95% (100 - 5)
Potential gross income = $150,376 ($142,857 ÷ 95%)
Number of units = 18
Rent per unit = $8,354.22 ($150,376/18)
Rent per month = $696.19 ($8,354.22 ÷ 12)
Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.
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The Beta Club plans a dance as a fund-raiser. The band costs $650, decorations cost $45, and the refreshments cost $2.20 per person. The admission tickets are $6 each.
(a) How many tickets must be sold to break even?
(b) How many tickets must be sold to clear $700?
(c) If admission tickets are $7.50 each, how many must be sold to clear $700?
183 tickets must be sold to break even. The price at which a good or service must be provided in order to recoup its expenses of production.
How many tickets must be sold to break even?The price at which an asset must be sold in order to recover its acquisition and ownership costs is known as the break-even price. It can also be used to describe the price at which a good or service must be provided in order to recoup its expenses of production.The band costs $650,
decorations cost $45
refreshments cost $2.20 per person
let x be the no of ticket
Total cost = 650+ 45+ 2.20x
break even
tickets cost = $6
6x = 650+ 45+ 2.20x
6 x - 2.20x = 695
3.8 x = 695
x = 182.89
183 tickets must be sold to break even.
tickets must be sold to clear $700
700/6 =116.6
700/ 7.5 = 93.33
117 tickets must be sold to clear $700
94 tickets must be sold to clear $700, If admission tickets are $7.50 each.
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Which of the following sets represents a function? {(3, 5), (-1, 7), (3, 9)} {(1, 2), (3, 2), (5, 7)} {(1, 2), (1, 4), (1, 6)} unlimited attempts remain
The set {(1, 2), (1, 4), (1, 6)} represents a function because each value of x corresponds to only one value of y.
In contrast, the sets {(3, 5), (-1, 7), (3, 9)} and {(1, 2), (3, 2), (5, 7)} do not represent functions because they contain multiple values of x that correspond to the same value of y. Specifically, the set {(3, 5), (-1, 7), (3, 9)} contains two values of x (3 and -1) that correspond to the same value of y (7), while the set {(1, 2), (3, 2), (5, 7)} contains two values of x (3 and 1) that correspond to the same value of y (2).
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Solve.
Six times a number is equal to the number increased by 10. Find the number.
When 6 times a number is equal to the number increased by 10. The number is 5.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number be represented as x.
Six times a number is equal to the number increased by 10. This will be:
(6 × x) = x + 10
6x + x = 10
Collect the like terms
6x - x = 10
5x = 10
Divide.
x = 10 / 2
x = 5.
The number is 5
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There were n signers of the Declaration of Independence. The oldest was Benjamin Franklin, who was y years old.
7 is 10% of y and n is 80% of y. How many signers were there?
Answer:
There were 56 signers.
Step-by-step explanation:
First, set up the two equations for the two situations we are given.
7 is 10% of y . . . . .(1):
[tex]7 = \frac{10}{100}(y)[/tex]
n is 80% of y . . . . .(2):
[tex]n = \frac{80}{100}(y)[/tex]
Now, solve for y in the 1st equation, and substitute y in the second equation to solve for n.
[tex]7 = \frac{10y}{100}[/tex]
[tex]700 = 10y\\[/tex]
[tex]70 = y[/tex]
[tex]n = \frac{80*70}{100}[/tex]
[tex]n = \frac{5600}{100}[/tex]
[tex]n = 56[/tex]
Answer:
56 signers--------------------------------
7 is 10% of y, find y:
7 = 0.1y ⇒ y = 70n is 80% of y, find n:
n = 0.8y = 0.8*70 = 56Please show work.
In 2018, the circulation of a local newspaper was 2,125. In 2019, its circulation was 2,250. In 2020, the circulation was 2,350
a. Find the percent of increase in the newspaper’s circulation from 2018 to 2019 and from 2019 to 2020.
b. Which period had a higher percent of increase, 2018 to 2019, or 2019 to 2020?
From 2018 to 2019:
(2250 - 2125)/2150 × 100% = 5.8% roundedFrom 2019 to 2020:
(2350 - 2250)/2250 × 100% = 4.44% roundedPart BCompare the percent increase we obtained:
5.8% > 4.44%Period 2018 to 2019 had a higher percent increase.
solve the following exponential equation. express irrational solutions in exact form and as a decimal rounded to three decimal places. 3^1-4x = 4x
The irrational solution of an exponential function, 3⁽¹⁻⁴ˣ⁾ = 4ˣ in exact form, is equals to the 0.190 in a decimal rounded to three decimal places.
Exponential function:The exponential function is a mathematical function of the form f(x) = aˣ , where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. The most commonly used exponential base is the transcendental number e, which is approximately equal to 2.71828.
We have given an exponential equation is
3⁽¹⁻⁴ˣ⁾ = 4ˣ
Require to solve this Exponential equation.
Now, 3⁽¹⁻⁴ˣ⁾= 4ˣ
taking logarithm both sides we get,
ln ( 3⁽¹⁻⁴ˣ⁾ ) = ln(4ˣ)
=> (1-4x) ln(3) = xln(4) [using ln( aˣ)= x ln(a) ]
=> ln (3) - 4x ln (3) = x ln (4)
=> ln (3) = x ln(4) + 4x ln(3)
=> ln (3) = x[ ln (4) + 4 ln (3) ]
=> x = ln (3) / [ ln (4) + 4 ln (3) ]
=> x ~ 0.190
Therefore, solution set is ln (3) / [ ln (4) + 4 ln (3) ].
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Penny is planning a trip to Egypt. She has mapped out the expected costs of some different components of her trip, and
has compiled them below, including whether the cost is in US
dollars ($) or Egyptian pounds (E).
Item
Cost
Currency
Plane ticket
3,241.77
£
Passport
65.00
$
Tour guide
494.25
£
International phone card
41.38
$
Hotel reservation
398.26
f
Car rental
644.48
£
If the exchange rate of the US dollar to Egyptian pound is 1:5.3841, how much has Penny currently budgeted for her trip,
in US dollars? Round all currencies to two decimal places.
a.
$895.25
b. $993.95
C.
$1,001.63
d
$1.468.01
Penny currently budgeted for her trip, in US dollars is $993.95.
What is Penny currently?
Pennies are constructed of copper-coated zinc. Only nickels—that identical alloy of 75% copper and 25% nickel—are one solid substance.
Given: Exchange rate of the US dollar to Egyptian pound is 1:5.3841
Item Cost Currency Plane ticket =
[tex]3,241.77 £=\frac{3,241.77}{5.3841}=\$ 602.100629632 \approx \$ 602.10[/tex]
Passport = $65.00
Tour guide [tex]$=494.25 £=\$ 91.7980721012 \approx \$ 91.80$[/tex]
International phone card [tex]$=\$ 41.38$[/tex]
Hotel reservation [tex]$=398.26 £=\frac{398.26}{5.3841}=\$ 73.9696513809 \approx \$ 73.97$[/tex]
Car rental [tex]$=644.48 £=\frac{644.48}{5.3841}=\$ 119.700599915=\$ 119.70$[/tex]
Therefore, the total budgeted for her trip, in US dollars= [tex]602.10+91.80+41.38+73.97+119.70+65$ $=\$ 993.95$[/tex]
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2
Evaluate: 1.5+ (0-1) X2
A) -3
B) 1.5
C) 3
D) 2
Answer:
A) -3
Step-by-step explanation:
To evaluate this mathematical expression, we must follow the following steps:
Perform the operation between parentheses: (0-1) = -1
Multiply the previous result by 2: -1 * 2 = -2
Add 1.5 to the previous result: -2 + 1.5 = -0.5
Therefore, the correct answer to the mathematical expression is A) -3.
She does not want to give up going to the spa by Emily feels that she could cut her costs a bit she’s thinking of getting a 45 minute massage for $80 and a regular manicure and pedicure for $40. If she makes exchange how much will she save?
Answer:
umm i would say 40$
Step-by-step explanation:
sorry if i have misunderstood the question
a regular pentagon with side lengths of 9 units is translated 2 units to the left. what is the length of one side of the pentagon after translation, in units? 2
9
5
8
The length of one side of the pentagon after translation is 9 units
Step-by-step explanation:
To be clear, "A translation is an isometry that translates all points of a figure the same distance in the same direction." The dimensions of any geometric figure will never change as a result of translation. The figure's measurements won't change; it will simply be moved from one location to another.
This means that even after being translated 2 units to the left, a regular pentagon with sides of 9 units will still have a side length of 9 units.
The length of one side of the pentagon after translation is 9 units(option B)
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Help guys!!!!! This is due tomorrow morning!! :)
Answer:
Step-by-step explanation:
we are told that JK and KL sides are the same (b/c of the marks) so set them equal and solve for x
8x = 13x-15
8x - 8x + 15 = 13x - 8x -15 + 15
15 = 5x
divide by 5
3 = x
Use the fact that it's 180° around the interior angles of the triangle to solve for y
180 = 5y -3 + 52 + 76
52 = 5y - 3
55 = 5y
11 = y
explain how you would compare "-2/3" and "-1/4." use words and numbers to explain your answer
0.4166667 is the difference between 2/ 3 and 1 /4.
Explain about the fractions?A fraction is a symbol used in mathematics to represent a part or element of the whole. It represents the proportional components of the whole. A fraction is made up of the denominator and the numerator. The top number is the numerator, and the lower number is the denominator.
More manageable pieces of a whole are represented by fractions. The components could be combined to make one thing or several things. In any instance, they come together to create the concept of a whole. As parts of wholes or sets, as the result of dividing two numbers, as the ratio of two quantities, as operators, and as measures are only a few examples of how to use fractions, they are all examples of fractions.
= 2/3 - 1/4
= 512
= 0.4166667
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How long will it take for a $1000 investment to grow to $1500 at an annual rate of 13%, compounded semiannually? Assume that no withdrawals are made. Do
not round any intermediate computations, and round your answer to the nearest hundredth.
This is a case of Compound Interest.
It takes around 3.22 years for investment to grow to 1500$ from 1000$.
How to calculate Compound Interest?The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Annual amount, A=P(1+[tex]\frac{r}{n}[/tex])∧nt
Calculation:Given,
P=1000$
A=1500$
r=13%=0.13
A=P(1+[tex]\frac{r}{n}[/tex])∧nt
n=2(Compounded semi-annually)
⇒1500=1000(1+[tex]\frac{0.13}{2}[/tex])^2t
⇒[tex]\frac{1500}{1000}[/tex]=(1.065)^2t
⇒1.5=(1.065)^2t
Taking log on both sides
㏒(1.5)=2t㏒(0.625)
⇒t=[tex]\frac{log(1.5)}{2log(0.625)}[/tex]
⇒t=3.219years≈3.22years
This is a case of Compound Interest.
It takes around 3.22 years for investment to grow to 1500$ from 1000$.
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A natural number is choosen at random from the 100 natural number. what is the probability that number so chosen is devisible by 3?
Answer:
33/100
Step-by-step explanation:
The 100 natural numbers are from 1-100.
In order to find the total numbers divisible by 3, divide 100 by 3:
100/3 = 33.33
Put 33.33 into integer form:
33.33 ==> 33 numbers divisible by 3.
Divide 33 by 100 to get the probability: 33/100
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Can you please help me
Answer:
(c) see below
Step-by-step explanation:
You want the graph of the compound inequality x > -6 or x > -2.
GraphsThe graph of the inequality x > -2 is shown as the top selection.
The graph of the inequality x > -6 is shown as the bottom selection.
You will notice that the bottom graph overlaps and includes the top graph. Hence the "OR" of the inequalities will look like the bottom graph, attached.
What is the solution to f(x) = -4 when f(x) = 3x + 5 ?
Answer: x=-3
Step-by-step explanation:
-4=3x+5
isolate x by moving all other variables to the right
-4-5=3x+5-5
-9=3x
x=-3
Answer:
-7
Step-by-step explanation:
To find the solution you'd have to plug in the -4 for every x you see but in this solution there is only one x so then you'd plug it in for that x. So then you'd have f(-4= 3(-4) + 5 and then you'd solve it. To solve it you would first multiply the 3 with the -4 because when something is in a parenthesis and there is a number beside with no sign that means you multiply. When you multiply you should get -12. After you get -12 you add 5 and your answer is -7.
When they give you an equation with an f(x) they sometimes give you inputs which you plug in to get your output. -4 was an input and -7 (your answer) is an output.
(hopefully you understood how i solved..)
the ucl for a process where the process mean is 35, sample size is 25 and the average sample standard deviation is 5, will be 38.
The upper control limit(UCL) is 160
sample mean X =35
sample size n =25
sample size n=25, average sample standard deviation is 5
Upper control limit is shown by the top dashed line (UCL). The data that is plotted on the control chart is used to calculate the upper control limit. It is positioned 3 sigma off the average line (of the data being plotted).
A control chart is made up of various components. It has an average line and two control limits. The lower control limit is represented by the dashed bottom line (LCL). The statistic's average is represented by the solid center line. The higher control limit appears as the top dashed line (UCL).
a)
Upper control limit(UCL) =X+A2R =160
Control line (CL) = X=35
Lower control limit (LCL)=X-A2R =90
Hence, The upper control limit (UCL) is 160
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The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between _____$ and _____$ on textbooks in a semester.
Question 12
Type numbers in the boxes.
1 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 16. According to the standard deviation rule, ______% of people have an IQ between 52 and 148. Do not round.
Question 13
Type numbers in the boxes.
10 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only _____% of people have an IQ over 139.
Question 14
Type numbers in the boxes.
10 points
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ= 310 and a standard deviation of: σ= 36.
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? _____
(b) is the correct response. the students spend on textbooks in a semester between $250 and $2,000
The Gaussian distribution is another name for the normal distribution. It is a typical continuous probability distribution with a standard deviation of one and a mean of zero.
The tails of the curve are asymptotic, extending to infinity without touching the horizontal axis, and the curve is unimodal and symmetric about the mean. Since the majority of observations are centered on the mean, mean=mode=median.
99.7% of the area under the curve is approximately -3, or 3 standard deviations from the mean, according to the 68-95-99.7 rule. The z score is determined utilizing the accompanying recipe:
For z=3, solve for both x by equating the z score formula with -3 and 3.
3 = x 235 5 x = (3 5) + 235 x = 250 for z=-3:
3 = x 235 5 x = (3 5) + 235 x = 220 A student spends between $220 and $250 on textbooks each semester.
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Full Question = The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $5. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?
a. Between 230 and 240 dollars.
b. Between 220 and 250 dollars.
c. Between 175 and 295 dollars.
d. Less than 220 dollars or more than 250 dollars.
e. Less than 230 dollars or more than 240 dollars.
DIRECTIONS: Use this information to answer Parts A and B.
Eric lays tile on a floor at a constant rate. He covers a 150-square-foot floor in 3 hours.
Complete the table to show the area Eric can cover in various amounts of time.
Enter the correct answers in the boxes.
The unit rate can be expressed in area covered per hour.
a) The table with the output values is completed on the first image at the end of the answer.
b) The graph of the proportional relationship is given by the second image at the end of the answer.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
He covers a 150-square-foot floor in 3 hours, hence the constant of proportionality is obtained as follows:
k = 150/3 = 50 sq feet per hour.
Then the equation is given as follows:
y = 50x.
Then the numeric values for the table are given as follows:
3 hours: y = 50 x 3 = 150 ft².4 hours: y = 50 x 4 = 200 ft².4.5 hours: y = 50 x 4.5 = 225 ft².5 hours: y = 50 x 5 = 250 ft².6.5 hours: y = 50 x 6.5 = 325 ft².Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about proportional relationships at brainly.com/question/10424180
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Which composition of two rigid motions maps ️ABC to ️A'B'C'
Answer:
C. Translation [tex](x,y) \longrightarrow (x-7, y+0)[/tex], Reflection in the [tex]y[/tex]-axis
Simplify using order of operations.
5³+28 /7-1
Answer:
128
Step-by-step explanation:
DO the "E"
125 + 28/7 -1 do the division next
125 + 4 - 1 now do the + or - or both
128