Marisa is walking from her home to her friend Sanjay's home. When she is 12 blocks away
from Sanjay's home, she looks at her watch. She looks again when she is 8 blocks away from
Sanjay's home and finds that 6 minutes have passed.
Answers
Answer:
Step-by-step explanation:
A. We must consider that Marisa is walking a straight trail so that the time required to cover a distance is persistent or constant.
B. The slope of the line is: y = m x + b
Where in this problem, y is the distance, m is the slope or the time it takes for each block, x is the time, and b would be the y intercept or the initial location of Marisa.
C. The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (8 – 12) / (6 – 0)
m = -0.67
The negative sign is the space between Marisa and Sanjay’s home is declining by time. It further means that there is a cut in 0.67 blocks per minute.
D. y = - 0.67 x + b
The starting point of Marisa is at 12 blocks away from Sanjay’s home, therefore let b be 12.
Finding for time when distance is y = 0:
0 = -0.67 x + 12
x = 17.9 minutes
Therefore it takes approximately 17.9 minutes to go to Sanjay’s home.
Related Questions
In April, the party and occasions department had an opening inventory at 57,000 at retail. The sell thru percentage rate for April was 28 %, and the closing stock was 49. 0. What were the net sales in the department during the month of April
Answers
The net sales in the department during the month of april is $15960.
Sell-thru perecentage rate = Units sold / Units recieved
In our case:
Net sales = (Sell-thru rate)*(opening inventory)
Net sales = (0.28)*($57000)
= $15960
Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.
Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.
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I could use some help to find out Tony’s mistake(s)
Answers
To find the shaded area you subtract the area of the triangle from the area of the rectangle:
\(A_{shaded}=A_{rec\tan gle}-A_{triangle}\)\(\begin{gathered} A_{shaded}=w\cdot l-\frac{1}{2}b\cdot h \\ \\ A_{shaded}=(5cm)(11cm)-\frac{1}{2}(5cm)(3cm) \end{gathered}\)Then, Tony's mistake was that he added the areas instead of subtract it.
The shaded are is:
\(\begin{gathered} A_{shaded}=55cm^2-\frac{15}{2}cm^2 \\ \\ A_{shaded}=55cm^2-7.5cm^2 \\ \\ A_{shaded}=47.5cm^2 \end{gathered}\)Then, the shaded area is 47.5 square centimetersCalculators cannot display repeating decimals. Calculators always round.
Zeke's calculator displays decimals to 4 places. He uses his calculator to find the
decimal equivalent for each of the fractions below.
For each number, choose what his calculator will display, as the decimal equivalent.
Then choose whether or not this is the exact decimal equivalent.
Answers
Answer:
1. 0.333 No
2. 0.3 or 0.300 Yes
3. 0.667 No
Step-by-step explanation:
How do you simplify the quotient?
Answers
Dividend ÷ Divisor = Quotient and Remainder
When a dividend is divided by a divisor, we get the value of the quotient in the result.
The result of dividing one integer by another is the quotient. For example, in 8 ÷4 = 2, the division result is 2, hence the quotient is 2. The dividend is eight, while the divisor is four.
The derivative of a quotient is the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square, according to the Quotient Rule.
When dividing one exponential equation by another, we use this rule. We must subtract the exponent in the denominator from the exponent in the numerator using the quotient formula, but the bases must be the same.
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A train travels a total of 42 km at a constant speed of 85 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answers
Answer: 30 minutes.
Step-by-step explanation;
The train travels 85km per hour, so the train moves 85km in 60 minutes. You need to find out how many minutes it takes for the train to move 42 km. Use the rule of three to find this out, using x to represent the x amount of minutes it would take for it to travel 42km.
You can place the rule of three like this: \(\frac{85}{60}\) x \(\frac{42}{x}\). Cross multiply to find out the value of x, which is 29.647, this is the amount of time it takes the train to travel 42 km. Round the number to its closest value, 30 minutes.
Jada's test scores were 80, 80, 82, and 86. Find the MEAN.
Answers
Answer:
82
Step-by-step explanation:
80+80+82+86
328/4
82
Answer:
82
Step-by-step explanation:
mean-the average of numbers in a data set
\(mean=\frac{80+80+82+86}{4}\)
\(mean=\frac{328}{4}\)
\(mean=82\)
QUESTION 23 Determine whether the interaction plot suggests that there is no interaction among the factors, some interaction or Significant interaction.
No interaction Cannot be determined. Significant interaction Some interaction
Answers
Follow the steps below to find
1. Analyze the interaction plot
2. Determine the level of interaction
What are the steps to determine interaction?1. Analyze the interaction plot: Look for lines in the plot that are parallel, intersecting, or spread apart.
Parallel lines: No interactionIntersecting lines: Some interactionSpread apart lines: Significant interaction2. Based on the appearance of the lines in the interaction plot, you can determine the level of interaction among the factors:
If the lines are parallel, it suggests that there is no interaction among the factors.If the lines are intersecting, it suggests that there is some interaction among the factors.If the lines are spread apart, it suggests that there is a significant interaction among the factors.Learn more about significant interaction.
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The boostrap method of constructing confidence intervals can be used to estimate:a population mean
any parameter
a population median
a population standard deviation
Answers
The bootstrap method of constructing confidence intervals can be used to estimate any parameter of interest, including a population mean, median, or standard deviation.
The basic idea behind the bootstrap method is to repeatedly resample the available data to create a large number of simulated datasets. From these simulated datasets, one can compute the statistic of interest (e.g., mean, median, standard deviation) and construct a confidence interval by determining the range of values that includes a specified percentage of the simulated statistics. This approach is particularly useful when the population distribution is unknown or when the sample size is small, as it allows one to obtain more accurate estimates of population parameters and to assess the variability of these estimates.
Hi! The bootstrap method of constructing confidence intervals can be used to estimate any parameter, including a population mean, a population median, and a population standard deviation. This technique allows for the estimation of various population parameters by resampling and simulating from the original sample data.
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2x + 3y = 6
Select all of the ordered pairs ( x, y ) that are solutions to the linear equation
A (0,2)
B (0,6)
C (2,3)
D (3, -2)
E (3,0)
F(6, -2)
Answers
Answer:
A)
Step-by-step explanation:
You just basically substitute the coordinates into the equation
2x+3y =6
2(0) +3y =6
y=2
34.Imagine you're playing a board game that involves an hourglass filled with sand. Once all of the sand falls to the bottom, your turn is up and it's the next player's turn. If the sand falls at a rate of 16 cubic millimeters per second, how much time do you have for your turn
Answers
If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.
The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.
We can use the formula:
Volume = Rate x Time
Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.
So,
x = 16t
We can rearrange this equation to find 't':
t = x/16
This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.
We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.
Then,
t = 100/16
t = 6.25 seconds
So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.
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Solve for the answer.
-q=x/3
Answers
Answer:
........................ x = −27
please help me this question
Answers
Answer: If the air-plane travels 1020 km in one hour, then it will cover 4250 km in 25/6 hours.
The formula which relates distance, speed, and time is given by d = rt, where d is the distance traveled, r is the rate of travel or the speed, and t is the time traveled. To find out the distance an aircraft will travel in t = 25/6 hours, we must first find out the speed r of the aircraft in kilometers per hour (km/hr) as shown:
d = rt
1,020 km = r(1 hr)
(1,020 km)/(1 hr) = [r(1 hr.)]/(1 hr)
1,020 km/hr = r(1 hr./1 hr)
1,020 km/hr = r(1)
r = 1,020 km/hr
Now, calculating the distance the aircraft will travel in t = 25/6 hours, we have:
d = rt
= (1,020 km/hr)(25/6 hr)
= (1,020)(25/6) km
= (1,020/6)(25) km
= (170)(25) km
= 4,250 km
Answer:
4250 km
Step-by-step explanation:
\(\Large\bf{GiveN,} \\ \)
\( {Distance\:covered\: in \:1\:hour\:=\:1020\:km}\)\( {Distance\:covered\: in \:25/6\:hour\:= }\) \( { 25/6\:×\:distance\:covered\: in \:1\:hour}\)⠀⠀⠀\( \textbf{Distance\:covered\: in \:1\:hour} \)
⠀⠀⠀⠀⠀\( \implies \)\(\bf\dfrac{25}{6}\) × 1020
⠀⠀⠀⠀⠀\( \implies \)\(\bf\dfrac{25×1020}{6×1}\)
⠀⠀⠀⠀⠀\( \implies \)\(\bf\dfrac{25500}{6}\)
⠀⠀⠀⠀⠀⠀ \(\small{\underline{\mathcal{\green{ =\:4250\:km}}}}\)
\( \therefore\)\( {\:\:\:Distance\: covered\: in \:25/6\:hrs\:by\:plane}\)\( {⠀⠀⠀⠀⠀= 4250\:km}\)
Mr. Worng predicted that he would sell 45 automobiles. He actually sold 48
Answers
Answer:
3 or 6.67%
Step-by-step explanation:
I'm assuming you want how much cars his prediction was off or how much percent
48 - 45 = 3
3/45 = 6.67%
1.Estimate the size of a crowd at a parade along a 1-mile section that is 8 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
37,500
2.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
23,400
3.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 2.5 square feet.
a.
84,500
b.
84,000
c.
126,700
d.
42,000
4.Estimate the size of a crowd at a concert where the area is 100 yards by 50 feet. Assume 1 person for each 2.5 square feet.
a.
12,000
b.
6,000
c.
2,000
d.
2,500
Answers
Answer:
1)
c.
18,700
2)
a.
46,900
3)
a.
84,500
4)
a.
12,000
Step-by-step explanation:
1) 1 mile = 5280 ft.
Area of both sides = 5280 ft × 8 ft × 2 sides = 84480 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = \(\frac{1}{4.5}\)
the size of a crowd = \(\frac{1}{4.5} *84480=18773.33\) ≈ 18700
2) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = \(\frac{1}{4.5}\)
the size of a crowd = \(\frac{1}{4.5} *211200=46933.33\) ≈ 46900
3) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = \(\frac{1}{2.5}\)
the size of a crowd = \(\frac{1}{2.5} *211200=84400\) ≈ 84500
4) 1 yard = 3 ft, therefore 100 yard = 300 ft (100 × 3)
Area of both sides = 300 ft × 50 ft × 2 sides = 30000 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = \(\frac{1}{2.5}\)
the size of a crowd = \(\frac{1}{2.5} *30000=12000\)
A store is having a sale on jelly beans and almonds for 3 pounds of jellybeans in 2 pounds of almonds the total cost is $10 for 5 pounds of jellybeans in 6 pounds of almonds the total cost is $24 find the cost of each pound of jellybeans and each pound of almonds
Answers
Answer:
each lb of jellybeans = $1.50
each lb of almonds = $2.75
Step-by-step explanation:
let j = jellybean cost for each pound
let a = almond cost for each pound
3j + 2a = 10
5j + 6a = 24
Using elimination method:
15j + 10a =50
15j + 18a = 72
------------------------
-8a = -22
a = 2.75
using 3j + 2a = 10
3j + 2(2.75) = 10
3j + 5.5 = 10
3j = 4.5
j = 1.5
need help
-1/2 + (3/4X4/9)=
Answers
Answer:
The correct answer would be negative 1 over 6 also written as -1/6
Step-by-step explanation:
HAVE A GOOD DAY!
Answer:
\(-\frac{1}{6}\)
Step-by-step explanation:
In order to find the answer to this question you must use order of operations and add after finding the common denominator.
\(-\frac{1}{2} +(\frac{3}{4} \times\frac{4}{9} )\)
P goes first
\(\frac{3}{4} \times\frac{4}{9}\)
Solve:
\(3\times4=12\)
\(4\times9=36\)
\(=\frac{12}{36}\)
Reduce:
\(12\div6=2\)
\(36\div6=6\)
\(2\div2=1\)
\(6\div2=3\)
\(=\frac{1}{3}\)
\(-\frac{1}{2} +\frac{1}{3}=\frac{-1\times3}{2\times3} +\frac{1\times2}{3\times2} =-\frac{1}{6}\)
\(=-\frac{1}{6}\)
Hope this helps.
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answers
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
What are the transformations to this quadratic function y= (x+4) power of 2 - 8
Answers
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).
The axis of symmetry occurs at x = h.
a = determines whether the graph opens up or down, and makes the graph wider or narrower.
h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
The vertex occrs at (-4, -8)a is assumed to have a value of 1. Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left. Since k = -8, then it implies that the graph translated vertically at 8 units downward.Please mark my answers as the Brainliest, if you find this helpful :)
4. A student has these scores on their assignments. The teacher is considering dropping a
lowest score. What effect does eliminating the lowest value, 0, from the data set have
on the mean and median? (Clue: Find the mean and the median with the zero and
with out the zero)
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
Answers
Answer:
Mean increases by 7.78
Median increases by 2.5
Step-by-step explanation:
We first need to calculate the mean as follows
Mean = summation of the total values/Total number of elements
Mean = 700/10
= 70
if the teacher drops 0 then the new mean will be composed of 9 elements
New mean = 700/9
= 77.78
thus we see that dropping the lowest value increases the mean by 7.78
to find the median we need to get the middle value of the data. since it is arranged in ascending order we just have to pick the value. since the data is even we have two middle values,5th and 6th values.
(75+80)/2 = 77.5
if we drop the lowest value we remain with 9 elements. thus the median becomes the 5th value.
median = 80
thus the median Also increases by 80-77.5 = 2.5
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
Answers
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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Find the Perimeter & Area for the following circle.
use 3.14 for Pi
Round to the tenths place
Answers
Answer:
A = 28.3 cubic inches; P = 20.1 inches
Step-by-step explanation:
Looks like 3/4 of a full circle
The area of a circle is calculated with the formula: \(\pi r^{2}\)
Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.
The radius is given as 3 inches
Area = \(3.14*3^{2} = 3.14*9 = 28.26\) cubic inches = 28.3 cubic inches
------------------------
Perimeter is calculated with \(2\pi r\).
But this is 3/4 of a circle with an additional two 3-inch sides
Perimeter = \(\frac{3}{4}*2\pi r\) + 2(3) = 14.1 + 6 = 20.1 inches
Answer:
Step-by-step explanation:
An angle measures 40° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
70° and 110° .
Step-by-step explanation:
suppose a contest has 11 participants. in how many different ways can first through fifth place be awarded?
Answers
For the fifth place, there are 7 participants left. Therefore, the total number of ways to award the first through fifth place is calculated as 11 × 10 × 9 × 8 × 7 = 55,440.
In a contest with 11 participants, there are different ways to award the first through fifth places. The total number of ways can be calculated using permutations, which is the number of arrangements of objects in a specific order. The number of ways to award the first place is 11, as any participant can win.
Once the first place is awarded, there are 10 remaining participants for the second place. Similarly, for the third place, there are 9 participants left, and for the fourth place, there are 8 participants remaining. Finally, for the fifth place, there are 7 participants left. Therefore, the total number of ways to award the first through fifth place is calculated as 11 × 10 × 9 × 8 × 7 = 55,440.
To determine the number of different ways to award the first through fifth place in a contest with 11 participants, we use the concept of permutations. The first place can be awarded to any of the 11 participants, so there are 11 possibilities for the first place. After the first place is awarded, there are 10 participants remaining for the second place.
Therefore, there are 10 possibilities for the second place. Similarly, for the third place, there are 9 participants left, giving us 9 possibilities. For the fourth place, there are 8 participants remaining, resulting in 8 possibilities.
Finally, for the fifth place, there are 7 participants left, giving us 7 possibilities. To calculate the total number of ways, we multiply all the possibilities together: 11 × 10 × 9 × 8 × 7 = 55,440. Thus, there are 55,440 different ways to award the first through fifth place in this contest.
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I need help.
The truth is, I don't know why the Brainly appears in English, if I needed it in Spanish. So, homework is in Spanish. I really need the help because I'm very behind in math. Thanks. And sorry for the horrible traduction. I'm so bad at english.
Answers
Answer:
Hey you can login in Spain Server if you find difficulty here
Which of the following represents a rational number that is NOT an integer?
A 27 ÷ 5
B -50 ÷ 5
C -100 ÷ 50
D 10 ÷ 2
Answers
A - 27/5
An integer can be a negative number but it can't be a decimal.
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
7
If y varies inversely as the square of x, and Y =
4
when x = 3, find y when x = 5.
63
a. 5
(5)
c. 7
y = y(5)
100
b. 4
d.
1
y(5) =
175
5x
125
Answers
7
If y varies inversely as the square of x, and Y =
4
when x = 3, find y when x = 5.
63
a. 5
(5)
c. 7
y = y(5)
100
b. 4
d.
1
y(5) =
175
5x
125
Answer:
Step-by-step explanation:
\( A(8.7 x-8)=3(2 x-1)+12.8 \)
Answers
The given equation is \( A(8.7x-8) = 3(2x-1) + 12.8 \). In order to solve this equation, we need to simplify and rearrange it to isolate the variable \( x \).
To solve the equation \( A(8.7x-8) = 3(2x-1) + 12.8 \), we can start by distributing the values inside the parentheses on both sides of the equation. This gives us \( 8.7Ax - 8A = 6x - 3 + 12.8 \).
Next, we can simplify the equation by combining like terms. On the right side, we have \( 6x - 3 + 12.8 \), which simplifies to \( 6x + 9.8 \). Therefore, the equation becomes \( 8.7Ax - 8A = 6x + 9.8 \).
To isolate the variable \( x \), we can move all terms containing \( x \) to one side of the equation and all the constant terms to the other side. This can be done by subtracting \( 6x \) from both sides, resulting in \( 8.7Ax - 6x - 8A = 9.8 \).
Now, we can factor out \( x \) from the left side of the equation, giving us \( x(8.7A - 6) - 8A = 9.8 \).
Finally, we can solve for \( x \) by dividing both sides of the equation by \( 8.7A - 6 \), giving us \( x = \frac{{9.8 + 8A}}{{8.7A - 6}} \).
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Identify the formula used to estimate the sample size for a simple random sample when the situation involves estimating a population mean.
Answers
The formula used to estimate the sample size for a simple random sample when estimating a population mean is:
n = (Z * σ / E) ^ 2.
1. Determine the desired confidence level for your estimation.
2. Find the corresponding Z-score for the desired confidence level. Common Z-scores for confidence levels include 1.96 for 95% confidence and 2.58 for 99% confidence.
3. Estimate the population standard deviation (σ) using previous data or assumptions.
4. Decide on the desired margin of error (E), which represents the maximum acceptable difference between the sample mean and the population mean.
5. Plug these values into the formula: n = (Z * σ / E) ^ 2.
6. Calculate the sample size (n) using the formula.
Therefore, the formula used to estimate the sample size for a simple random sample when estimating a population mean is n = (Z * σ / E) ^ 2.
where:
n is the sample size,
Z is the Z-score corresponding to the desired confidence level,
σ is the population standard deviation, and
E is the desired margin of error.
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Shelley drew a scale drawing of the high school. She used the scale 5 millimeters : 3 meters. If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?
Answers
We can use the proportion:
measurement in the drawing / scale = actual measurement
We know that the scale is 5 millimeters : 3 meters and the actual width of the parking lot is 42 meters. To find the width of the parking lot in the drawing, we can set up the proportion as:
width in drawing / 5 millimeters = 42 meters / 3 meters
To solve for the width in the drawing, we can cross-multiply and divide:
width in drawing = (42 meters * 5 millimeters) / 3 meters
Converting millimeters to meters:
width in drawing = (42 * 5 * 10^-3) / 3
width in drawing = (210 * 10^-3) / 3
width in drawing = 70 * 10^-3 meters = 0.07 meters
So the width of the parking lot in the drawing is 0.07 meters or 70 millimeters.
Write the equation for a rational function with a hole at x = 6 and
a vertical asymptote at x = – -5 and at least one zero.
Answers
Answer:
x-6/x²-x-30
Step-by-step explanation:
(x-6)(x+5)
x²-x-30
when you factor out x-6 you have a removable discontinuity and you have x+5 as your denominator and that would be the vertical asymptote since you can have a 0 as your denominator the V.A. would be x = -5.