The time it will take for the block of ice to melt if the temperature is 45 degrees is 3 hours.
The cost to travel 22 miles is 55 dollars.
How to find how long for the ice to melt?let
time it takes for ice to melt = x
air temperature = y
Therefore,
x ∝ 1 / y
x = k / y
when x = 2.5 hours and y = 54 degrees
Hence,
k = 2.5 × 54
k = 135
The time it will take for the block to melt at 45 degrees = 135 / 45 = 3 hours
How to find equation that relates the cost to the number of miles?It costs $35 for a ride from the city centre to the airport, 14 miles away.
where
c = cost
m = number of miles
Therefore, the equation is as follows:
35 / 14 = 2.5
c = 2.5m
Hence, when you travel 22 miles,
c = 22(2.5)
c = 55 dollars
learn more on equation here: https://brainly.com/question/22737982
#SPJ1
Shara is building a birdhouse. She cuts a 6-foot-long board into sections that are each 1/3 foot long. How many sections of the board will Shara have when she is finished cutting?
A 2
B 6 1/3
C 10 1/3
D 18
Answer:
D
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its reciprocal.
6 ÷ 1/3
= 6 x 3/1
= 6 x 3
= 18
The number of sections of the board Shara has when she is finished cutting is 18 sections.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Length of the board = 6 feet
Length of the section = 1/3 feet
The number of 1/3 feet sections.
= 6 ÷ 1/3
= 6 x 3
= 18
Thus,
Shara when she is finished cutting will have 18 sections.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 17 doors is taken, and it is found that they have a mean of 2069 millimeters with a standard deviation of 24. Assume the population is normally distributed. Is there evidence at the 0.02 level that the doors are either too long or too short
There is not enough evidence at the 0.02 level that the doors are either too long or too short. So, the null hypothesis is accepted.
How to decide whether the null hypothesis is rejected or accepted?Using the p-value approach for the hypothesis test, whether the null hypothesis is rejected or accepted.
If the p-value is greater than the significance level then the null hypothesis is accepted.If the p-value is less than the significance level then the null hypothesis is rejected.Calculation:It is given that,
Sample size n = 17
Sample mean X = 2069
Standard deviation σ = 24
Population mean μ = 2058
Significance level α = 0.02
Hypothesis:
The null hypothesis: H0: μ = 2058
The alternative hypothesis: Ha: μ ≠ 2058
So, the z-test score for the given distribution is,
z-score = (X - μ)/(σ/√n)
On substituting,
z-score = (2069 - 2058)/(24/√17)
= 11/5.82
= 1.89
Thus, the p-value for the z-score of 1.89 is 0.0587 ≅ 0.06.
Since 0.06 > 0.02(significance level), the null hypothesis is accepted. So, there is no sufficient evidence that the doors are either too long or too short.
Learn more about p-value approaches for hypothesis testing here:
https://brainly.com/question/14805123
#SPJ4
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that [tex]\frac{14}{27}[/tex] found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.
Choose the correct simplification of the expression (C^4)^3
A. C^1
B. C^7
C. C^12
D. C^64
Use the rules of exponents to simplify the expression.
[tex]\large\displaystyle\text{$\begin{gathered}\sf (C^{4})^{3} \end{gathered}$}[/tex]
To raise a power to another power, multiply the exponents.
[tex]\large\displaystyle\text{$\begin{gathered}\sf C^{4\times3} \ \to \ Multiply \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf C^{12} \end{gathered}$}}[/tex]
Therefore, the correct option is "C".
in a recent survey,55% of cell phone owners said they text messages.what fraction of cell phone owners is this
Answer:
11/20
Step-by-step explanation:
55% = 55/100
by simplifying this fraction (divide top and bottom by 5), you get 11/20
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 inches and standard deviation of 0.5 inches. If a sample of 46 items are chosen at random, what is the probability the sample's mean length is greater than 6.3 inches? Round answer to four decimal places.
The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
Learn more about probability at https://brainly.com/question/24756209
#SPJ4
The income statement comparison for rush delivery company shows the income statement for the current and prior year. required: a) determine the operating income (loss) for each year. (2 marks) b) determine the operating income (% of sales) for each year. (2 marks) c) the company made a strategic decision to invest in additional assets in the current year. these amounts are provided. using the total assets amounts as the investment base, calculate the roi. was the decision to invest additional assets in the company successful? explain. (3.5 marks) d) assuming an 8% cost of capital, calculate the ri for each year. explain how this compares to your findings in (c). (3.5 marks)
Company's average operating assets for last year is $193000, company's margin is 15%, return on investment is 42%, company's residual income for last year is $521000.
Given the balance sheet and income statement of Joel de Paris and we have to calculate company's average operating assets for last year, company's margin,return on investment and company's residual income for last year.
1) Company's average operating assets=
(beginning operating assets+closing operating assets)/2
={(2562000-349000-253000)+(2634000-434000-25000)}/2
=(1910000+1950000)/2
=3860000/2
=$1930000
2)Company's margin= net operating income/ sales
=810000/540400
=15%
3)Turnover=sales/average inventory
=540400/1930000*100
=27.9%
=28%
4) Return on investment=margin* turnover
=15% of 28%
=42%.
Hence company's average operating assets for last year is $193000, company's margin is 15%, return on investment is 42%, company's residual income for last year is $521000.
Learn more about return on investment at https://brainly.com/question/15726451
#SPJ4
The question is incomplete and the information of question is in figure.
Question 5(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following tables represents a function?
its the first one
a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.
PLEASE HELP 80 POINTS!!!!!
Answer: reflection across x axis and y axis?
Step-by-step explanation: repost question with the possible answers!
In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is _____. Group of answer choices 21 22 23 24
If the sample size of population is 24 then the number of degrees of freedom for reading the t value is 23 which is option c.
Given sample size of 24,mean 23.
We have to determine the number of degrees of freedom which will be used to find the critical values of t.
Degree of freedom is the number of values in the final calculation of a statistic that are free to vary means that can change their values in the formula of calculating t.
t=(X-μ)/s/[tex]\sqrt{n}[/tex]
where X is sample mean ,
μ is hypothsised population mean
s is sample standard deviation
n is sample size.
Degree of freedom=n-1
In this question n is 24 so the degree of freedom =24-1=23.
Hence the number of degrees of freedom for reading the t value is 23.
Learn more about degree of freedom at https://brainly.com/question/17305237
#SPJ4
A study was performed with a random sample of 3000 people from one church. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases
The population would be set of all Christians of that particular church from where the random samples is collected.
According to the questions,
A study was performed with a random sample 3000 people from one church. In order to find appropriate population for generalizing conclusions
The population would be set of all Christians of that particular church from where the random samples is collected.
This is because random samples is collected only from the particular church, so its generalization can only be the possible to large population of that church. we can generalize to whole of that church because it is given that there was no bias is introduced.Hence, the population would be set of all Christians of that particular church from where the random samples is collected.
Learn more about random samples here
https://brainly.com/question/17040012
#SPJ4
Bens barbershop has a rectangular logo for their business that measures 7 1/5 feet long with an area that is exactly the maximum area allowed by the building owner. create an equation that could be used to determine m, the unknown side length of the logo.
A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.
Expression steps of the equationWe can determine the following details from the query:
Logo= rectangle with a
Length ,L= 7-foot
'A' stands for the logo's area, and 'M' for the side that isn't recognized.
The rectangle's area (A) is computed using:
A = L*W
⇒A = 7*M
(As per query, length, L=7 & W= M)
Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.
Learn more about the area of the rectangle here:
https://brainly.com/question/20693059
#SPJ4
If a hypothesis is tested at the α=0.05 level of significance, what is the probability of making a type i error?
The probability of making a type i error is also α = 0.05 or 5% of error.
For the given question,
A Type I error occurs when a significance test results in the rejection of a true null hypothesis. By one common convention, if the probability value is below 0.05, then the null hypothesis is rejected.
The null hypothesis assumes no cause and effect relationship between the tested item and the stimuli applied during the test. The probability of making a type I error is represented by the alpha level (α), which is the p-value below which you reject the null hypothesis.
Thus, If a hypothesis is tested at the α=0.05 level of significance, then the probability of making a type i error is also α=0.05 or 5% of error.
Hence we can conclude that the probability of making a type i error is also α = 0.05 or 5% of error.
Learn more about type I error here
https://brainly.com/question/13980658
#SPJ4
Name a postulate or theorem that can be used to prove that the two triangles are similar. Then, write a similarity statement.
Postulate: SAS
Similarity statement: [tex]\triangle CAB \sim \triangle EDF[/tex]
The relationship between the natural variation and specifications is quantified by a measure known as the _____.
The relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.
According to the questions,
The relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.
Process capability index refers to the capability of a process to deliver output which lies within the specifications limits that are desired.
Hence, the relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.
Learn more about Process capability index https://brainly.com/question/24322347
#SPJ4
If you flip the graph of the absolute value parent function, f(x)=|x|, over the x-axis, what is the equation of the new function?
The equation of the new function is f'(x) = -|x|
How to determine the equation of the new function?The function is given as:
f(x) = |x|
The rule of flipping the graph over the x-axis
(x, y) = (x, -y)
So, we have:
f'(x) = -f(x)
Substitute f(x) = |x|
f'(x) = -|x|
Hence, the equation of the new function is f'(x) = -|x|
Read more about function transformation at:
https://brainly.com/question/13810353
#SPJ1
I have no idea how to do this
The solution for the given equation X^3 + Y^2 = 971,028. So, option A is correct.
What are multiples?A multiple of a number is the number whose remainder is 0 when divided by the given number.
Consider 'a' as the multiple of a number 'n'.
Then, a ÷ n = b (and remainder = 0)
Calculation:It is given that,
X = largest 2-digit multiple of 3 which is not a multiple of 5
⇒ X = 99
Y = smallest 2-digit multiple of 9 which is not a multiple of 6
⇒ Y = 27
Then, substituting the values in the given equation,
= X^3 + Y^2
= (99)³ + (27)²
= 970,299 + 729
= 971,028
Therefore, the value of the given equation is 971,028.
Learn more about multiples of a number here:
https://brainly.com/question/784558
#SPJ1
HELP HELP HELP
HELP HELP HELP
HELP HELP HELP
Using proportions, the lengths of the unknown sides are given as follows:
2x = 10.x - 3 = 2.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:
[tex]\frac{2x}{4} = \frac{5}{x - 3}[/tex]
Applying cross multiplication:
2x(x - 3) = 20
2x² - 6x - 20 = 0
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0.
Then the positive solution is:
x - 5 = 0 -> x = 5.
And the lenghts are:
2x = 10.x - 3 = 2.More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
f(x) = 2x – 4
g(x) = 3x + 1
what is is h(x) = f(x)g(x)?
Answer:
h(x) = 6x² - 10x - 4
Step-by-step explanation:
h(x) = f(x) g(x)
= (2x - 4)(3x + 1)
each term in the second factor is multiplied by each term in the first factor, that is
2x(3x + 1) - 4(3x + 1) ← distribute parenthesis
= 6x² + 2x - 12x - 4 ← collect like terms
= 6x² - 10x - 4
that is h(x) = 6x² - 10x - 4
find the value of the following
20.6% of 15000
6% of 200
66 2 over 3 of 72 litres
Answer:
1 - 3090
2 - 12
3 - 2.16
Step-by-step explanation:
hope you find this helpful...
What kind of sequence is this? 206, 190, 174, 158
Answer:
Arithmetic
Step-by-step explanation:
Arithmetic Sequence is a sequence that has common difference - a common difference is same difference in a sequence. If we take next term to subtract the previous term and you keep getting same difference or value then that's a common difference. It can be mathematically expressed as an equation of:
[tex]\displaystyle{d=a_{n+1}-a_n}[/tex]
Now, I'll show why the sequence is arithmetic - take the sequence to subtract for common difference:
190 - 206 = -16174 - 190 = -16158 - 174 = -16Notice how we keep getting -16 after subtracting previous term with next term. Hence this sequence is arithmetic sequence for sure!
Geometric Sequence is a sequence with common ratio - a common ratio is similar to common difference except ratio is all about division. Since common difference is expressed as subtraction of next term and previous term then common ratio is division of next term and previous term which can be mathematically expressed as:
[tex]\displaystyle{r = \dfrac{a_{n+1}}{a_n}}[/tex]
However this sequence is not geometric sequence because if you divide next term with previous term then you'll keep getting difference result and common ratio means having same ratio or constant ratio for entire sequence.
Now see why this sequence cannot be geometric sequence:
190/206 = 0.922174/190 = 0.915158/174 = 0.908Notice that none of values are equal and thus, this sequence doesn't have common ratio which leads to not being geometric sequence.
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
The computation shows that the amount will be 44.70 Dollars.
How to illustrate the information?The options are missing: Here are the missing options:
A. 44.70 US dollars
B. 73.06 US dollars
C. 136.87 US dollars
D. 140.41 US dollars
For solving this question first we will convert the USD to euros.
The conversion rate we have is:
1 euro = 1.3687 USD
250/1.3687 = 182.655 euros
Now we will subtract it from what he has spent:
= 182.655 - 150
= 32.655 euros
Now we will again convert it back to USD. This will be:
32.655 euros * 1.3687 = 44,695 us dollars
Therefore, the answer is 44.70.
Learn more about computations on:
https://brainly.com/question/4658834
#SPJ1
What is the repayment amount after one month on a simple interest loan of $2,500 at 7% interest?
Payment Every Month = $2,514.58
Total of 1 Payments = $2,514.58
Total Interest = $14.58
What is simple intertest ?
Simple interest is calculated based on the principal of a loan or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accumulated.
Solution:
Principal value = $2500
Interest rate = 7%
Time = One month
Formula for simple interest calculation:
[tex]=\frac{Principalamount*rate *time}{100} \\=\frac{2500*7*(\frac{1}{12}) }{100}\\ =14.588[/tex]
Total Simple interest on $2500 for month $14.588.
To know more about simple interest visit:
https://brainly.com/question/11564235
#SPJ4
One cupcake weighs 3 1/2 ounces how many cupcakes are there in 28 ounce package
Using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.
According to the question,
One cupcake weighs 3 1/2 ounces. In order to find the number of cupcakes are there in 28 ounce package.
1 cupcake = 7/2 ounces
x cupcakes = 28 ounces
28 = 7/2 * x [cross multiplication]
x = (28*2)/7 [Using division]
x = 8
Hence, using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.
Learn more about division here
https://brainly.com/question/18369058
#SPJ4
Make a study of minimum amount of basic nutrients needed for a 12-year-old child to survive in the world
Basic nutrients a 12-year-old needs are:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CWhat are nutrients?A nutrient is a material that an organism requires in order to survive, grow, and reproduce. Animals, plants, fungi, and protists are all required to consume dietary nutrients. Nutrients can be absorbed by cells for metabolic reasons or expelled by cells to form non-cellular structures such as hair, scales, feathers, or exoskeletons. Some nutrients, such as carbohydrates, lipids, proteins, and fermentation products (ethanol or vinegar), can be metabolically reduced to smaller molecules in the process of generating energy, resulting in the end products of water and carbon dioxide.The following are the nine nutrients that a youngster should consume on a daily basis:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CTherefore, basic nutrients a 12-year-old needs are given.
Know more about nutrients here:
https://brainly.com/question/9348916
#SPJ4
question 12 please, i cannot find the central angle.
Answer:
Below.
Step-by-step explanation:
12. That is a semicircle
The central angle is 180 degrees.
Identify the equation that describes the line in slope-intercept form. slope = 2 , point (- 1, 2) is on the line
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept formSLOPE-INTERCEPT FORM: [tex]y=mx+b[/tex], where "m" is your slope and "b" is your y-interceptPOINT-SLOPE FORM: [tex](y-y_{1}) =m(x-x_{1})[/tex], where [tex]y_{1}[/tex] represents the y-coordinate of your point, [tex]x_{1}[/tex] represents the x-coordinate of your point, and [tex]m[/tex] represents the slope[tex](y-2)= 2(x-(-1))[/tex]
Point-slope form[tex](y-2)=2(x+1)[/tex]
[tex]y-2=2x+2[/tex]
[tex]y=2x+4[/tex]
Slope-intercept formGeorge is driving at an average speed of 707070 miles per hour. At this rate, how long, in minutes, will it take him to complete a 400400400-mile road trip
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours
How long will it take the driver to complete a 400-mile road trip?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed = 70 miles per hourDistance traveled = 400 mileElapsed time = ?We substitute into our equation above.
Speed = Distance ÷ time
70 miles per hour = 400 mile ÷ Elapsed time
Elapsed time = 400 miles ÷ 70 miles per hour
Elapsed time = 5.7 hours
Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.
Learn more about speed here: brainly.com/question/7359669
#SPJ1
solve for x
A)8
B)9
C)-9
D)-8
Answer:
C) -9
Step-by-step explanation:
x + 19 must be half x + 29 because triangles RBC and RST are similar by SAS and RB is half of RS and RC is half of RT.
2(x + 19) = x + 29
2x + 38 = x + 29
x + 38 = 29
x = -9
Which expressions represent the sum of exactly two terms?
Choose 2 answers:
A. xy
B. m^4+6m
C. 3+7s+t
D. a+c
Answer: D and B
Step-by-step explanation:
Formula for two terms = a + b
Therefore,
D and B have two terms aka one plus sign
D. a + c
B. m^4 + 6m
Hi! ❄
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The sum of two terms is what we get after adding these two terms.
If you add two positive terms, you put a + sign in between these terms.
[tex]\sf{Example\!\!:a+b}[/tex]
If you add two negative terms, you put a - sign in between these terms.
[tex]\sf{Example\!\!:a-b}[/tex] (this is the same as [tex]\sf{a+-b}[/tex])
Let's look at the provided choices to see which one works.
Choice A.Provided Expression = [tex]\sf{xy}[/tex]Does Choice A. work ??It doesn't, because [tex]\sf{xy\neq x+y}[/tex]. In this expression a number x was multiplied by a number y. So this one doesn't check.
One down, three to go.
Choice B.Provided Expression = [tex]\sf{m^4+6m}[/tex]Does Choice B. work ??It does, because [tex]\sf{m^4+6m\stackrel\checkmark{=}m^4+6m}[/tex]. A number m was multiplied by itself 4 times, and then the product of that samee number m and 6 was added to it.
So this one checks.
Choice C.Provided Expression = [tex]\sf{3+7s+t}[/tex]Does Choice C. work ??It doesn't. It is indeed a sum, but we need 2 terms, not 3
So this one doesn't work.
Choice D.Provided Expression = [tex]\sf{a+c}[/tex]Does Choice D. work ??It does, because [tex]\sf{a+c\stackrel\checkmark{=}a+c}[/tex]. So Choice D. also works.
Hope that made sense !!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\star\tiny\pmb{calligraphy}\star[/tex]