Officials in a town use a function c to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate Damian for the function
The most appropriate domain for [tex]\( C(n) \)[/tex] is non-negative integers, representing the count of vehicles observed.
The most appropriate domain for the function [tex]\( C(n) \)[/tex], which represents the rate of traffic through an intersection based on the number of observed vehicles [tex]\( n \)[/tex] in a specified time interval, would be all non-negative integers. This is because the number of vehicles observed [tex](\( n \))[/tex] can only be a whole number (you can't have a fraction of a vehicle), and it can't be negative.
So, the domain of [tex]\( C(n) \)[/tex] would be:
[tex]\[ \text{Domain: } n \in \{0, 1, 2, 3, \ldots\} \][/tex]
This means [tex]\( n \)[/tex] is any non-negative integer.
the points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain
Final answer:
It is reasonable for Ian to fill a watering can with 3 liters of water for watering plants, as it falls within the typical range required by houseplants and should suffice for watering multiple indoor plants or a small garden.
Explanation:
To determine if it is reasonable for Ian to fill a watering can with 3 liters of water to water his plants, we should consider the capacity of common watering cans and the typical water requirements for houseplants. For example, a standard watering can might hold anywhere from 1 to 10 liters of water, and most indoor plants generally require between 0.25 and 1 liter of water per week, depending on their size and the environmental conditions.
If Ian has several plants or a few large plants, 3 liters of water might be a perfectly reasonable amount for him to use. Without knowing the exact number and size of the plants, it is difficult to provide a precise answer, but in general, 3 liters is within a normal range for watering multiple houseplants.
For a substantial garden or larger outdoor plants, 3 liters might even be on the lower end, and multiple trips to the tap may be necessary. Thus, it is indeed reasonable to say that Ian will fill the watering can with 3 liters of water for watering plants.
Spin a spinner numbered 1-8 two times, land on two the first time and
land on a factor of 8 the second time
Answer:
Required probability = 1/16
Step-by-step explanation:
When we spin a spinner numbered 1-8, we find that each spin is independent of the other.
HEnce probability for getting any number from 1 to 8 will be equal to 1/8 and remain the same for each spin.
So Probability on two for the first time and factor of 8 on the second time
=Prob (landing on 2)*Prob (landing on any factor of 8)
P(landing on 2) = 1/8
Factors of 8 are 1,2,4,8
Prob (landing on factor of 8) = 4/8
Hence required prob = 1/8(4/8) =1/16
at a local animal shelter there are 12 small size dogs and 5 medium sized dogs everyday the small sized dogs are each given 12.5 oz of dry food and the medium sized dogs are each given 18 oz of the same dry food how many pounds of dry food does the shelter serve in one day
The shelter serves a total of 15 pounds of dry food per day, after calculating the food given to both small and medium-sized dogs and converting the total from ounces to pounds.
To calculate the total amount of dry food served at the shelter in one day, you must multiply the amount of food each dog consumes by the number of dogs of that size. Then, add the totals for each size category. Since the pound is the most suitable unit for this calculation, you need to convert the ounces of food into pounds. There are 16 ounces in one pound.
First, calculate the total food for small-sized dogs: 12 dogs × 12.5 oz each = 150 oz.Then, calculate the total food for medium-sized dogs: 5 dogs × 18 oz each = 90 oz.Combine the amounts: 150 oz + 90 oz = 240 oz of dry food total.Finally, convert ounces to pounds: 240 oz ÷ 16 oz per pound = 15 pounds of dry food.Therefore, the shelter serves a total of 15 pounds of dry food in one day.
What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
$27.99 shoes ; 7 1/2 tax find the total cost or sale price to the nearest cent
Answer:
$The total cost or sale price = $30.09
Step-by-step explanation:
The total cost or sale price is the absolute price of a commodity including the given tax.
From the question given, the tax is [tex]7\frac{1}{2}[/tex]% of the price. So that;
Tax = [tex]7\frac{1}{2}[/tex]% × 27.99
= 0.075 × 27.99
= 2.09925
∴ Tax = $2.09925
The total cost or sale price = price + tax
= $27.99 + $2.09925
= $30.08925
The total cost or sale price = $30.09
Justin is going to the school dance. He went to the mall and bought three new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. add and divide
B. multiply and subtract
C. multiply and add
D. add and subtract
A coin is tossed 20 times. It lands on heads 14 times. What is the relative frecuencue of heads?
In the number 7,889 which contains digits where one digit is ten times the value as the other digit?
How would 5,682,850,003 be written in expanded form?
A. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 1
B. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 10
C. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 1,000 + 3 x 1
D. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 100 + 3 x 1
This week Luis made 80% of what he made last week. If he made $72 this week, how much did he make last week
Estimate 7 1/4-2 5/12
To estimate 7 1/4 - 2 5/12, convert the mixed numbers to improper fractions, find a common denominator, subtract, and simplify. The result is approximately 4.83, which is close to 5.
Estimating 7 1/4 - 2 5/12
To estimate the difference between 7 1/4 and 2 5/12, it's helpful to convert these mixed numbers to improper fractions first. Let's break it down step by step:
Convert the mixed numbers to improper fractions:7 1/4 = (7*4 + 1)/4 = 29/42 5/12 = (2*12 + 5)/12 = 29/12Find a common denominator for the fractions, which is 12:Convert 29/4 to a fraction with a denominator of 12: (29/4) * (3/3) = 87/12Subtract the fractions:87/12 - 29/12 = (87 - 29) / 12 = 58/12Simplify the result:58/12 simplifies to 29/6 or approximately 4.83Therefore, the estimate of 7 1/4 - 2 5/12 is approximately 5.
How is the square root of 343 cubed 7?
match the math sentence that count on and back by tens.
38+20=? 63+40=? 42+30=?
77-30=? 53-40=? 91-20=?
- ( 38 + 20 = 58 ): Counting 20 more than 38 gives 58.
- ( 63 + 40 = 103 ): Adding 40 to 63 results in 103.
- ( 42 + 30 = 72 ): Adding 30 to 42 gives 72.
- ( 77 - 30 = 47 ): Subtracting 30 from 77 results in 47.
- ( 53 - 40 = 13 ): Subtracting 40 from 53 gives 13.
- ( 91 - 20 = 71 ): Subtracting 20 from 91 results in 71.
let's go through each math sentence and solve them step by step:
1. ( 38 + 20 )
- Start with 38.
- Add 20 to 38.
- Calculation: ( 38 + 20 = 58 )
- So, ( 38 + 20 = 58 )
2. ( 63 + 40 )
- Start with 63.
- Add 40 to 63.
- Calculation: ( 63 + 40 = 103 )
- So, ( 63 + 40 = 103 )
3. ( 42 + 30 )
- Start with 42.
- Add 30 to 42.
- Calculation: ( 42 + 30 = 72 )
- So, ( 42 + 30 = 72 )
4. ( 77 - 30 )
- Start with 77.
- Subtract 30 from 77.
- Calculation: ( 77 - 30 = 47 )
- So, ( 77 - 30 = 47 )
5. ( 53 - 40 )
- Start with 53.
- Subtract 40 from 53.
- Calculation: ( 53 - 40 = 13 )
- So, ( 53 - 40 = 13 )
6. ( 91 - 20 )
- Start with 91.
- Subtract 20 from 91.
- Calculation: ( 91 - 20 = 71 )
- So, ( 91 - 20 = 71 )
Therefore, the solutions are:
- ( 38 + 20 = 58 )
- ( 63 + 40 = 103 )
- ( 42 + 30 = 72 )
- ( 77 - 30 = 47 )
- ( 53 - 40 = 13 )
- ( 91 - 20 = 71 )
Kevin works as a salesperson at a site that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commission?
Answer:
$800
Step-by-step explanation:
Kevin works as a sales person at a site that specialize in custom made computers.
Kevin earns a base pay per week = $325
and a commission on his sales.
Kevin earned last week a total of = $1,125
So his commission = Total pay - his base pay
= 1,125 - 325
= $800.00
His commission was $800.
Matias stacked his cubes to make this rectangular prism. rectangular prism with grid lines How many cubes did Matias use?
https://static.k12.com/calms_media/media/1451000_1451500/1451333/1/fa05fd502d1273bf0751cb02832848aa1b938634/Math_Purple_140218_131628.jpg
Answer:
The answer is 112
1) Given the data 12, 39, 21, 18, 24, 17, 12, 25:
What is the outlier in the data?
What is the mean with the outlier?
What is the mean without the outlier?
A)12; 21; 18.4
B)12; 18.4; 21
C)39; 21; 18.4
D)39; 18.4; 21
What is the value of 6 in the number 45.026
rectangles. Please help!
Two congruent triangles fit together to form a parallelogram with a base of 14 inches and a height of 10 inches. What is the area of each triangle?
Final answer:
The area of each triangle is 140 square inches.
Explanation:
The area of a triangle is given by the formula A = ½ × base × height.
In this case, the base of the parallelogram is 14 inches and the height is 10 inches.
Since two congruent triangles form the parallelogram, we can consider one of the triangles.
Let's call the base of the triangle 'b' and the height 'h'.
We have the equation A = ½ × b × h = 14 × 10 = 140 square inches.
Therefore, the area of each triangle is 140 square inches.
If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate
-6x+6y=6
-6x+3y=-12
Solve using elimination
A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.
The given statement is false, as a fourth degree polynomial with real coefficients -4, 8i,+4i cannot be formed it will form three degree or cubic polynomial as given by f(x) = (x + 4)(x - 8i)(x - 4i)
What is Polynomial ?
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, 8i , and 4i. Hence:
x = -4; 8i; x = 4i
x + 4 = 0; x - 8i = 0; x - 4i = 0
f(x) = (x + 4)(x - 8i)(x - 4i)
The three degree polynomial is given by f(x) = (x + 4)(x - 8i)(x - 4i)
Find out more on polynomial at:
brainly.com/question/2833285
#SPJ1
Johanna wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If the daily rate is $29 and LDW totals $62 for the rental period, what is her total rental cost?
Answer:
$207
Step-by-step explanation:
yw
A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.
This table shows the relative frequencies of the rows for the two-way table representing this situation.
Select from the drop-down menus to complete the statement.
The percent of seventh graders surveyed who prefer fiction is ____ the percent of eighth graders surveyed who prefer fiction.
A. greater than
B. less than
C. equal to
Answer:
Option A. greater than
Step-by-step explanation:
The percent of seventh graders surveyed who preferred fiction = 0.75 or 75%
The percent of eight graders surveyed who preferred fiction = 0.68 or 68%
Now we can say the percentage of seventh graders who preferred fiction is GREATER THAN the percentage of eight graders who preferred fiction.
Therefore option A. is the correct option.
what is the probability of randomly choosing a day of the week that dosen't begin with the letter t and the letter s
How do u find the mean? I've never done this before the subject is try check and revise
Answer,
The mean is the average of the numbers. It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.
For example,
The mean of the numbers is, 50
Explanation,
20 + 30 + 40 + 50 + 60 + 70 + 80 = 380
Then we divide 350 by how many numbers there are, 7. Then we get 50.
Hope this helps :-)
Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?
If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?
Answer:
Value of w = 1
w - 1 = 1 - 1 = 0
Explanation:
We have 16 - 7w = w + 14 - 6w
Firstly, we will find the value of w.
In order to find the value of w, we will solve the linear equation for w.
Now combine like terms
16 - 14 = w - 6w + 7w
2 = 2w
2w = 2
w = [tex] \frac{2}{2} [/tex]
w = 1
Now we will find the value of w - 1
Plug the value of w = 1 into w - 1
1 - 1
= 0
So, final answer is 0
I hope it will help you.