Answer:
Cost function = 40a + 500
Cost of 90 articles = $4,100
Step-by-step explanation:
The fixed cost is $500 and it will.not change regardless of production level.
The Variable cost is $40 and increases by every additional unit produced.
Assume the number of articles produced is a.
Cost function would be:
Total cost = Variable cost * Number of articles + Fixed cost
TC = 40a + 500
Using this, the cost of 90 articles is:
= 40 * 90 + 500
= $4,100
The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz
Step-by-step explanation:
The frequency of a radio wave that has a wavelength of 3000m is 100 kHz
(a) Wavelength = 500 m
We know that,
[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]
(b) Frequency, f = 800 kHz
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]
Hence, this is the required solution.
Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet?
Need help real quick lol pls
Answer:
A
Step-by-step explanation:
let me know if this was right or wrong
A rectangular blanket is 4 times as long as it is wide. Its width is 8 yards. What is the area of the blanket?
Answer:
The area is 256
Step-by-step explanation:
The polynomial x3 + 8 is equal to
(x + 2)(x2 – 2x + 4).
(x – 2)(x2 + 2x + 4).
(x + 2)(x2 – 2x + 8).
(x – 2)(x2 + 2x + 8).
Answer:
(x+2)(x2-2x+4).
Step-by-step explanation:
Answer:
A) (x + 2)(x2 – 2x + 4).
Step-by-step explanation:
on edge
A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at work. What would most likely happen if they decided to randomly sample 15% of the company’s employees instead?
A. The sample mean would more closely model the population mean.
B. The sample mean would not be affected.
C. There is not enough information to determine how the sample mean would be affected.
D. The sample mean would less closely model the population mean.
Answer:
The sample mean would more closely model the population mean.
Step-by-step explanation:
Find the nth term of this quadratic sequence 3,8,15,24,35...
Answer:
n^2 + 2n.
Step-by-step explanation:
n = 1 2 3 4 5
term t = 3 8 15 24 35
Diffs = 5 7 9 11
2 2 2 - so the nth term contains n^2.
n^2 = 1 4 9 16 25
t - n^2 = 2 4 6 8 10
This is an arithmetic sequence with nth term = 2 + (n-1)2 = 2n
So the nth term of the quadratic sequence = n^2 + 2n.
PLSSSS HELPPPPPP 20 POINTS
the 180 days of school last year. Grace was absent 15 days . What percent of the days was she absent
Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.
Answer:
The person with the most water left is;
Tia
Step-by-step explanation:
The parameters given in the question are;
The volume of water Sherry and Karl both started their hike with = 1 small bottle each
The volume of water Tia started her hike with = 1/2 of a larger bottle of water
The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water
The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water
The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water
Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;
The volume water with Tia at the end of the hike = 1/2·x
The volume water with Karl at the end of the hike = 1/2·y
The volume water with Tia at the end of the hike = 1/2·Z
Given;
Z > x
Z > y
∴ 1/2·Z > 1/2·x
1/2·Z > 1/3·y
Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.
Review #3 (TYPE ANSWERS HERE)
10 of 1510 of 15 Items
Question
POSSIBLE POINTS: 2
10) A student has a cup containing 5 green, 5 red, 5 yellow and 5 orange skittles. The student randomly takes a skittle out of the cup (and replaces it) 20 times. The results are:
Red: 3 times
Yellow: 7 times
Orange: 4 times
Green: 6 times
What is the relative frequency (experimental probability) of getting an orange skittle?
.
What is the theoretical Probability of getting an orange skittle?
- 16 – - 22,what is the difference
Answer is 6.
Explaination:
When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.
if ?/100 = 0.2 then ? =
Answer:
20
Step-by-step explanation:
x / 100 = 0.2
Multiply both sides by 100 to isolate x. 100 x 0.2 = 20
In the given expression the missing term is 20.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
The given expression is:
?/100 = 0.2
Then we have to find out the missing term.
Let the missing term is x
Therefore, we can write,
x/100 = 0.2
Multiply 100 on both sides we get,
x = 0.2 x 100
x = 20
Hence,
The missing term is 20.
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest rate.
Answer:
Interest rate = 2.41%
Step-by-step explanation:
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.
The formula to calculate the Interest rate for a Compound Interest is given as:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 12 × [(305.33/240.00)^1/(12)(10) - 1]
r = 0.0240996
Then convert r to R as a percentage
R = r * 100
R = 0.0240996 * 100
R = 2.41%/year
Therefore, the Interest rate = 2.41%
number 7 pls im dead I need help
Answer:
c
Step-by-step explanation:
divide the two numbers.
3x-5>-41
Solving inequality
Answer:
x [tex]\geq 11[/tex]
Step-by-step explanation:
x can equal anything -11 and above
Jackson is starting an exercise program.The first day he will spend 30 minute on a treadmill by 2 minutes each day.Write an equation for t(d),the time,in minutes,on the treadmill on day d
Answer:
For the d day Jackson exercised for t(d)= 30 + 2d where d is the number of day.
t(d)= 30 + 2d
Step-by-step explanation:
Let the total time on the treadmill be given by y each day and let x take the values of number of the days exercised . For the first day x= 0 and so on.
Therefore
For the first day Jackson exercised for 30 minutes
y= 30 + 2x
y= 30 + 2(0)
y= 30 minutes
For the second day Jackson exercised for (x=1) 32 minutes
y= 30 + 2x
y= 30 + 2(1)
y= 32 minutes
For the third day Jackson exercised for (x=2) 34 minutes
y= 30 + 2x
y= 30 + 2(2)
y= 34 minutes
For the fourth day Jackson exercised for (x=3) 36 minutes
y= 30 + 2x
y= 30 + 2(3)
y= 36 minutes
For the d day Jackson exercised for (x=d) 30 + 2d where d is the number of day.
y= 30 + 2x
y= 30 + 2(d)
y= 30 + 2d
Alguien que hable ESPAÑOL :)
Answer:
yo
Step-by-step explanation:
Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the time Sonia arrives at her aunt's house.
Answer: 1249 hrs
Step-by-step explanation:
Sophia walked for 12 km to get to her aunt's house.
She did this at a speed of 5km/h which means that the time taken was:
Time = Distance / Speed
= 12 / 5
= 2.4 hours
2.4 in hours:
= 0.4 * 60 minutes
= 24 minutes
= 2 hours 24 minutes
If she left at 1025, she would arrive at:
= 1025 + 2 hours 24
= 1249 hrs
Problem ID: PRABEAF4
Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time t, in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For the following situation, decide if the slope is positive, zero, or negative:
The plane is cruising at an altitude of 37,000 feet above sea level.
GIVING BRAINLIEST AND THE REST OF MY POINTS! PLS HELP :((
A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approximate volume of the pyramid?
Answer: 6,300 m^3
Step-by-step explanation:
Put numbers into calculator
What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?
Answer:
A≈603.19in²
Step-by-step explanation:
sorry if it's wrong
Answer:
603.19
Step-by-step explanation:
For the function a(-5) = -2, and a(-2) = -5. If y = a(x), what is the value of y when x = -2?
A resposta é -5, como diz na pergunta.
HELPPP ASAP 10 POINTS
How many anime have you watched and name 10 of them if you can :D
Answer:
the best anime is death note.
Step-by-step explanation:
Answer:
My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol
Step-by-step explanation:
If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.
WILL GIVE BRAINLIEST!!!!!!
Answer:
8 cookies left over
Step-by-step explanation:
use long division.
divide 143 by 15.the remainder is 8
7. James earned $13 on Monday and doubled his pay each day thereafter for a week. How
much did he earn on Saturday?
Answer:
416$
Step-by-step explanation:
How many solutions does the following system of equations have?
One Solution
O No Solutions
Infinitely Many Solutions
Answer:
I think its two eqautions
Answer:
b
[tex]\int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0
Answer:
3, 3
Step-by-step explanation:
[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]
Thus, the two numbers are 3, 3
i need help with this
Answer:
1) 0.04, 3.6
2) 0.35, 49
Step-by-step explanation:
Answer:
1. 90x0.04= 3.6
2. 140x0.35=49
Step-by-step explanation:
convert to decimal to calculate the percent.
