The y-intercept is (0,2.75), and it represents the pick-up fee
Let x represent the mile driven, and y represents the charges.
So, the given parameters can be represented using the following ordered pair
\((x,y) = \{(5,9)\ (8,12.75)\}\)
Calculate the slope (m) using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{12.75 - 9}{8 - 5}\)
\(m = \frac{3.75}{3}\)
\(m = 1.25\)
The equation is then calculated as:
\(y = m(x -x_1) + y_1\)
So, we have:
\(y = m(x -5) + 9\)
Substitute 1.25 for m
\(y = 1.25(x -5) + 9\)
Substitute 0 for x, to calculate the y-intercept
\(y = 1.25(0 -5) + 9\)
\(y = -6.25 + 9\)
\(y = 2.75\)
Hence, the y-intercept is (0,2.75), and it represents the pick-up fee
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Highest common factor of 18 and 12
Answer:
6
Step-by-step explanation:
18/6 = 3
12/6 = 2
~theLocoCoco
Answer:
6
Step-by-step explanation:
Factors of 12.
1, 2, 3, 4, 6, 12
Factors of 18.
1, 2, 3, 6, 9, 18
As we can see, 6 is the GCF of both numbers if we compare them.
Best of Luck!
At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. Find the supply equation of the form p = mq + c, where p is the price in dollars and q is the corresponding supply in thousands of boxes.
We want to find a linear equation that models the given situation.
The solution is p = $0.0001*q - $23
The general linear equation is:
p = m*q + c
Where m is the slope and c is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Here we have the two points:
price = $9, boxes = 320,000
price = $8.50, boxes = 270,000
We can rewrite these as:
(320,000 , $9)
(270,000 , $8.50)
Then the slope of the line will be:
\(m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000} = \$ 0.00001\)
Then the line is something like:
p = $0.0001*q + c
To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).
Replacing that in our equation we get:
$9 = $0.0001*320,000 + c
$9 - $0.0001*320,000 = c = -$23
Then the linear equation is:
p = $0.0001*q - $23
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There are 370 fish in the school pond, and 296 are goldfish. What percent of the fish are goldfish? help pls
Answer:
80% of the fish in the school pond are goldfish.
Step-by-step explanation:
To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.
percent of goldfish = (number of goldfish / total number of fish) x 100%
So, in this case:
percent of goldfish = (296 / 370) x 100%
percent of goldfish = 0.8 x 100%
percent of goldfish = 80%
How do we multiply monomial times monomial?
A. Multiply the coefficients, Add the exponents
B. Multiply the coefficients, multiply the exponents
C. Add the coefficients, multiply the exponents
Answer:
A. Multiply the coefficients, Add the exponents
Step-by-step explanation:
To multiply monomials, multiply the coefficients, and add the exponents of the same variable.
Answer: A. Multiply the coefficients, Add the exponents
Answer:
a- multiply the coefficients, add the exponets.
Step-by-step explanation:
i already did it!
it's due tonight and I don't get it
How many times larger is the 5 in 528, 394 as in 352, 107?
A. 5 times as large as
B. 10 times as large as
C. 50 times as large as
D. 100 times as large as
E. 500 times as large as
Answer: B 10 Times large
Step-by-step explanation:The first 5 is 500,000 And the second 5 is 50,000
500,000÷ 50,000= 10
Question2 of 25If ASTU AABC, which congruences are true by CPCTC? Check all that apply.
If triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
Let's understand what is the congruence of the triangle.
If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
CPCTC stands for corresponding parts of congruent triangles are congruent.
Let's check in the triangle STU and triangle ABC;
triangle STU ≅ triangle ABC
So,
∠S ≅ ∠A
∠T ≅ ∠B
∠U ≅ ∠C
segment ST ≅ Segment AB
segment TU ≅ Segment BC
segment SU ≅ Segment AC
Thus, if triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
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What is the difference between qualitative forecasting techniques and quantitative forecasting techniques?
The difference between qualitative forecasting techniques and quantitative forecasting techniques is:
Quantitative projections frequently rely on historical information, like past sales and income numbers, production and financial reports, and website visitor statistics. You may use seasonal sales data, for instance, to estimate the production and labour requirements for the upcoming year based on the monthly or quarterly results from the previous year. Additionally, statistical modelling, trend analysis, or other information from authoritative sources like governmental organisations, professional groups, and academic institutions are used in quantitative forecasting.
Techniques for qualitative forecasting are derived from the knowledge and intuition of seasoned business professionals. These forecasting methods involve data interpretation together with the expert knowledge you've gained through years of work experience, so they go beyond simple guesswork. For instance, if you require qualitative data to predict sales for the year, you may calculate the influence of a new advertising campaign or promotion your business is preparing, consider the implications of emerging technology for customer behaviour, and consider current social fads and trends.
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Write a paragraph that explains how the Sumerians were different from other people of their time.
Your paragraph must include a topic sentence, at least two support sentences, and a conclusion
sentence that restates but does not repeat the topic sentence.
The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
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Which numbers are divisible by 5 ?
291,125 or 582
Now with this problem u can pick to numbers or one if u dont think its none of them just say none of them thank u
Answer:
I would say....281125....
2.9y=11.6 what does y equal?
Answer:
4
Step-by-step explanation:
The volume of a rectangular prism is represented by the function x3 9x2 6x − 16. the length of the box is x 2, while the height is x 8. find the expression representing the width of the box. x − 4 x − 1 x 1 x 4
The expression that represents the width of the box is (x - 1) , the correct option is (b) .
In the question ,
it is given that ,
the Volume of the rectangular prism is = x³ + 9x² + 6x – 16
the measure of the length of the box = x+2
the measure of the height of the box = x+8
formula for Volume of Prism is
Volume = l × w × h
where l = length of the prism,
w = width of the prism and
h = height of the prism.
Substituting the values ,
we get ,
x³ \(+\) 9x² \(+\) 6x – 16 \(=\) (x \(+\) 2) * (x \(+\) 8) * width
On dividing the equation (x³ + 9x² + 6x – 16) with (x+2)
and then dividing the result with (x+8) , we get
width = (x-1) .
Therefore , The expression that represents the width of the box is (x - 1) , the correct option is (b) .
The given question is incomplete , the complete question is
The volume of a rectangular prism is represented by the function x³ + 9x² + 6x – 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box
(a) x - 4
(b) x - 1
(c) x + 1
(d) x + 4
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Answer:
B
Step-by-step explanation:
Asked my teacher to help me.
Ellie makes hats. She makes at least 17 hats per hour.
She is paid 46p for each hat she makes.
Answer:
she makes 782p = £7.82 an hour
Step-by-step explanation:
The amount made by Ellie if She makes at least 17 hats per hour, She is paid 46p for each hat she makes, is £7.82.
What is multiplication?The symbols cross (×), asterisk (*), and dot (·) are used to denote multiplication. You most frequently utilize the cross when writing in your notebooks. In computer languages and algebra, the asterisk and dot are both utilized (higher mathematics).
Given:
Ellie makes at least 17 hats per hour, She is paid 46p for each hat she makes,
Calculate the amount earned by Ellie as shown below,
The amount earned by Ellie = number of hats × price of one hat
The amount earned by Ellie = 17 × 46
The amount earned by Ellie = 782p
Convert into Stirling pound as shown below,
The amount earned by Ellie = £7.82
Thus, the amount made by her is £7.82.
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The complete question is:
Ellie makes hats. She makes at least 17 hats per hour. She is paid 46p for each hat she makes. Find the total amount she made.
I need help with this urgently!!
The number in a radical needs to be square rooted to get placed out of it, so the square root of 20 can be split into the square root of 4 times the square root of 5, which can then be simplified to 2 rad 5, but there is a 2 outside of the radical, so then it becomes 4 rad 5, which is equivalent to 4 rad 5 so the first one is an answer.
Raising a number to the exponent of 1/2 is basically square rooting it.
For the second one, it's rad 6 - rad 5, which is not equal to 4 rad 5. That is not an answer.
For the third one, it's 3 times rad 5 + rad 5. That's 3rad5 + rad5. That's 4 rad 5, which is equal to 4 rad 5 at the top, so this is an answer.
For the fourth one, it's 4 times rad 5, so that's 4 rad 5, which is equal to 4 rad 5. That is an answer.
For the fifth one, 10 cannot be simplified to get out of the radical because it's only factors are 2 and 5, and neither of them are squares. That is not an answer.
For the sixth one, it's 3 times rad 5, so it's 3 rad 5. That is not an answer.
The answers are the first one, third one, and fourth one.
Hope this helps
Ronnie wants to lower his utility bills to save money on his monthly expenses. he discovers that if he replaces his water heater with a solar water heater his monthly utility bills can decrease around 50% to 85%. at the end of the year ronnie wants to calculate the percentage his new solar water heater saved him in the utility bills compared to last year. ronnie's total utility expenses for this year are $862.40 and last year the utility expenses were $1935.67. what percentage did ronnie save on his utlility bills by switching to a solar water heater? a. 44.5% b. 97.8% c. 55.4% d. 67.5% please select the best answer from the choices provided a b c d
Answer:
c. 55.4%
Step-by-step explanation:
We calculate what percentage this year's bill of $862.40 is compared to last year's bill of $1935.67.
862.4/1935.67 × 100% = 44.55304%
Since this year's bill is 44.6% of last year's bill, the percent saved is
100% - 44.6% = 55.4%
Answer: c. 55.4%
A furniture store offers a free chair for every four
chairs that a customer purchases. The price of
each chair is $12. If Alice spends a total of $108
on chairs, how many chairs did she receive
aliogether?
Answer:
12+96=108
Step-by-step explanation:
======================================================
Work Shown:
c = number of chairs
1 chair costs $12, so buying c of them costs 12c dollars.
She spent $108 total, meaning the equation is 12c = 108. That solves to c = 9 when you divide both sides by 12.
So that means she paid for 9 chairs. We're told that she gets a free chair for every 4 she buys. Since 9/4 = 2.25, it tells us that buying two batches of four chairs will get her 2 bonus chairs free of charge. Therefore, the total amount of chairs she receives is 9+2 = 11
Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=
Answer:
1/2 > 3/8
Step-by-step explanation:
To compare the answers, we need to change them to the same denominator.
2x4=8
So we can create an equivent fraction of 1/2 by dividing both numbers by 4:
1x4=4
2x4=8
1/4=4/8
Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.
Hope this helped!
A newborn weights 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces
The infant's weight is 7 pounds and 10 ounces using weight conversion.
To convert the weight of the newborn from grams to pounds, we need to divide the weight by the number of grams in one pound, which is 453.59. So, 3,459 grams divided by 453.59 grams per pound is equal to 7.628 pounds.
To find the weight in ounces, we need to multiply the decimal part of the pounds by 16 (since there are 16 ounces in one pound). So, 0.628 x 16 = 10.048 ounces.
Therefore, the infant's weight is 7 pounds and 10 ounces.
It is important to note that weight conversion is often used in the medical field to monitor the health and growth of newborns. By tracking their weight in pounds and ounces, doctors can ensure that they are gaining weight at a healthy rate and are meeting their developmental milestones.
This information can also be used to make adjustments to their feeding or treatment plans if necessary. It is crucial for healthcare professionals to accurately convert weight measurements to ensure the best possible care for their patients.
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The table below shows the number of minutes a household phone is used daily based on the number of household members.
Which equation best models this set of data?
A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3
I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D
What is the solution to the following system of equations y=2x-4 Y=x
Answer: (4,4)
Step-by-step explanation:
Hope this helps
How many seconds are in 7 hours?
someone please help me!
Answer:
25200
Step-by-step explanation:
ez
Answer: There is 25,200
Step-by-step explanation:
60 seconds in an hour
70x60=25,200
Can someone please help me
Answer:
Point Form:
(-3, -5)
Equation Form:
x = -3, y = -5
Step-by-step explanation:
Hope This Helps! : )
6. Pre-CS responding of 81 and a CS responding of 49 : ?
7. What does CS responding mean?
8. What does a suppression ratio of zero mean? Explain in terms of both responding and fear.
CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.
“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.
A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.
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Plz help me with this and with an explanation and I’ll give brainliest
Answer: Your answer would be -8
Step-by-step explanation:
You have to divide each side by factors that doesn't contain the variable.
Hope this helped you! <3
1, 4, 9, 16, ________, _______, ________, Write the next 3 terms below
Answer:
25, 36, 49
Step-by-step explanation:
The pattern is increasing like +3, +5, +7, so it increases by two per number.
Based on that pattern, 16 would add +9, which gives you 25. 25 would add +11, giving you 36, and 36 would add 13, giving you 49.
Which of the statements below are true? Select all that apply. A) (2, 2) is a point on the line shown B) (3,6) is a point on the line shown C) Each pack of gum costs $2.00 D) Each pack of gum costs $0.50.
Answer:
C)
Step-by-step explanation:
help help help pls pls
Answer:
see explanation
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 3 ) → (- 3, 3 )
(3, 4 ) → (- 4, 3 )
(5, 3 ) → (- 3, 5 )
PLZZZZZZZZZ HELP 30 POINTS AND BRAINLIEST
Cotton farmers constantly battle with insects that want to eat their crops. Geneticists created transgenic cotton with leaves that repelled insects, such as caterpillars.
Which statement best describes an unintended negative consequence of creating the transgenic cotton?
The cotton plants grew at increased rates but produced fewer flowers.
The cotton produced more and larger flowers.
The cotton began dying very quickly.
The caterpillars instead ate the cotton flowers and damaged cotton production.
hi have a nice day,❤️
Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.
Answer:
The caterpillars instead ate the cotton flowers and damaged cotton production.
Explanation:
Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.
But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.
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-Siascon
if sat scores are normally distributed with a mean of 500 and standard deviation of 100, what is minimum score is needed to ensure that you are ni the top 7
To determine the minimum score needed to ensure that you are in the top 7%, we need to find the z-score associated with the top 7% and then convert it back to the raw score.
The top 7% corresponds to an area of 0.07 under the standard normal distribution curve. To find the z-score associated with this area, we can use a standard normal distribution table or a calculator.
Using a standard normal distribution table or calculator, we find that the z-score corresponding to an area of 0.07 is approximately 1.4051.
To convert this z-score back to the raw score, we can use the formula:
x = z * standard deviation + mean
Substituting the values into the formula, we get:
x = 1.4051 * 100 + 500
x ≈ 140.51 + 500
x ≈ 640.51
Therefore, the minimum score needed to ensure that you are in the top 7% is approximately 640.51.
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Referring to Table 1, what is the predicted consumption level for an economy with GDP equal to $4 billion and an aggregate price index of 150? a. $1.39 billion ...
The predicted consumption level for an economy with a GDP of $4 billion and an aggregate price index of 150 is $2.07 billion.
Referring to Table 1, the predicted consumption level for an economy with a GDP equal to $4 billion and an aggregate price index of 150 is $1.39 billion.
In Table 1, we can observe the relationship between GDP and the corresponding consumption levels for different aggregate price indexes. To find the predicted consumption level, we need to locate the row in the table that corresponds to an aggregate price index of 150. In this case, we find the row where the aggregate price index is 150.
Looking at the row with an aggregate price index of 150, we can see that the corresponding consumption level is $2.33 billion. However, this value represents the consumption level for an economy with a GDP of $3 billion. Since we need to find the predicted consumption level for an economy with a GDP of $4 billion, we need to adjust the value accordingly.
To adjust the consumption level, we can use the concept of proportionality. We observe that the consumption level increases linearly with GDP. Therefore, we can calculate the predicted consumption level by scaling the consumption level of $2.33 billion proportionally to the change in GDP.
The ratio of the new GDP ($4 billion) to the original GDP ($3 billion) is 4/3. Multiplying this ratio by the consumption level of $2.33 billion, we get:
($4 billion) / ($3 billion) * ($2.33 billion) = $3.11 billion
However, it's important to note that this adjusted consumption level is for an economy with an aggregate price index of 100. Since the given economy has an aggregate price index of 150, we need to adjust the consumption level based on the change in the price index.
The ratio of the new price index (150) to the base price index (100) is 150/100 = 1.5. Dividing the adjusted consumption level by this ratio, we find:
($3.11 billion) / 1.5 = $2.07 billion
Therefore, the predicted consumption level for an economy with a GDP of $4 billion and an aggregate price index of 150 is $2.07 billion.
Please note that the predicted consumption level is an estimate based on the relationship observed in the data provided in Table 1. It assumes a linear relationship between GDP and consumption, and it should be interpreted as a rough prediction rather than an exact value.
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