b. If carboard costs $0.05 per square inch, how much will it cost to make 600 boxes?
Answers
The Solution:
Given:
We are required to find the amount it will cost to make 600 of the above boxes if cardboard cost $0.05 per square inch.
Step 1:
Find the surface area of the box.
[tex]Total\text{ surface area}=2(L_1\times W_1)+2(L_2\times W_2)+2(L_3\times W_3)[/tex]In this case,
[tex]\begin{gathered} L_1=8in. \\ W_1=12in. \\ \\ L_2=3\imaginaryI n \\ W_2=12\imaginaryI n \\ \\ L_3=3\imaginaryI n \\ W_3=8\imaginaryI n \end{gathered}[/tex]Substituting these values in the formula, we get:
[tex]TSA=2(8\times12)+2(3\times12)+2(3\times8)[/tex][tex]TSA=2(96+36+24)=2\times156=312\text{ }in.^2[/tex]Step 2:
Find the cost of one box.
[tex]\begin{gathered} 1in^2=\text{\$0.05} \\ So, \\ 312in.^2=312\times0.05=\text{ \$15.60} \end{gathered}[/tex]Step 3:
Find the cost of 600 boxes.
[tex]\begin{gathered} 1\text{ box}=\text{ \$}15.60 \\ So, \\ 600\text{ boxes}=600\times15.60=\text{\$9360} \end{gathered}[/tex]Therefore, the correct answer is $9360.
Related Questions
Hi, can you help me answer this question please, thank you!
Answers
Step 1:
You wish to test the following claim at a significance level of
α = 0.05
Step 2:
Null hypothesis
[tex]H_0\colon\mu\text{ = 87.8}[/tex]Step 3:
Alternative hypothesis
[tex]H_a\text{ : }\mu\text{ < 87.8}[/tex]Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a biology classroom. If the vertices of a history classroom are located at (x1, -3y1) , (x2, -3y2) , (x3, -3y3) , and (x4, -3y4) , will the history classroom be congruent to the biology classroom ?
Answers
According to the given information, the class must be congruent and symmetric towards the hallway. To do that, we need to use the same transformation on each vertex in order to have symmetry.
Therefore, the right answer would be Yes, because the same transformation was applied to all the vertices.
Answer:
No, because the transformation applied was not a rigid motion.
Step-by-step explanation:
The y values are decreased by a scale factor of -3, which makes the classroom a different size than the biology classrom.
mixture 1there is 1 1/2 teaspoons and 1 cupmixture 2there is 1/2 teaspoons and 2 cupsmixture 3 there is 1/4 teaspoons and 1 cup
Answers
Mixture 1 would taste different
Explanation
the taste is given by the proportion of teaspoons and cups in eeach mixture, let's find them
Step 1
mixture 1
[tex]\begin{gathered} 1\frac{1}{2}=\frac{(1\cdot2)+1}{2}=\frac{3}{2}=1.5 \\ \text{then} \\ 1.5\text{ teaspoons }\rightarrow1\text{ cup} \\ \text{the proportion is} \\ \frac{1.5}{1}=1.5\frac{teaspoon}{\text{cup}} \end{gathered}[/tex]mixture 2
[tex]\begin{gathered} \frac{1}{2}=0.5 \\ \text{then} \\ 0.5\text{ teaspoonss}\rightarrow2\text{ cups} \\ \text{the proportion is} \\ \frac{0.5\text{ teaspoons}}{2\text{ cups}}=0.25\frac{teaspoons}{\text{cup}} \end{gathered}[/tex]mixture 3
[tex]\begin{gathered} \frac{1}{4}=0.25 \\ \text{then} \\ 0.25\text{ teaspoons}\rightarrow1\text{ cup} \\ \text{the proportion is} \\ \frac{0.25}{1}=0.25\text{ }\frac{teaspoons}{\text{cup}} \end{gathered}[/tex]Step 3
compare the proportions
[tex]\begin{gathered} \text{mixture 1=1.5} \\ \text{mixture 2=0}.25 \\ \text{mixture 3=0.25} \\ \end{gathered}[/tex]Hence
Mixture 1 would taste different.
I hope this helps you
I need help. This is Algebra 2. Based upon Transformations on A parabola.
Answers
We will focus on solving question 2a.
We are told that the parent function is
[tex]f(x)=x^2[/tex]we want to identify the transformations applied to this function so we get the function
[tex]g(x)=-x^2+4[/tex]Note first we can start by multiplyin f(x) by -1. So get
[tex]\text{ -f(x)= -x}^2[/tex]This multiplication by -1 represents a reflection across the x-axis. Now, if we add 4 to this equation, we get
[tex]\text{ -f(x) +4= -x}^2+4=g(x)[/tex]This move of adding 4 represent a shift of 4 units up.
So, to get the given function from the parent function, we should apply a reflection across the x-axis and the a shift of 4 units up
Can someone please answer this calculus question
Answers
The numeric value of the derivative of the function at x = -1 is given by:
f'(-1) = -12.
Derivative of product ruleA function defined by the multiplication of two functions is as follows:
f(x) = g(x)h(x)
The derivative of this function is given as follows:
f'(x) = g'(x)h(x) + h'(x)g(x).
In this problem, the function is:
f(x) = x^6h(x).
The parameters are as follows:
g(x) = x^6.g'(x) = 6x^5.The derivative is given by:
f'(x) = x^6h'(x) + 6h(x)x^5
At x = -1, the numeric value of the derivative of the function is:
f'(-1) = (-1)^6 x (6) + 6 x 3 x (-1)^5 = 6 - 18 = -12.
We just took the general derivative calculated, and for the numeric value at x = -1, only the data given on the exercise for function h(x) was needed.
More can be learned about derivatives at https://brainly.com/question/5313449
#SPJ1
I need help with this question please. This is non graded.
Answers
In general, an exponential function has the form shown below
[tex]\begin{gathered} f(x)=ab^x \\ a,b\rightarrow\text{ constants} \\ b\rightarrow\text{ growth rate if }b>1 \end{gathered}[/tex]In our case,
[tex]\begin{gathered} a=3000,b=2 \\ \Rightarrow f(t)=3000(2)^t \end{gathered}[/tex]Therefore, the answer is 3000(2)^t, the first option.Give the correct numerical response.The odds against obtaining a 4 when a single fair die is tossed aretoThe odds against obtaining a 4 when a single fair die is tossed are(Type whole numbers.)
Answers
Answer:
[tex]1\text{ to 5}[/tex]Explanation:
Here, we want to compare odds
In a single toss of a die, the probability of obtaining a 4 is 1/6
This is because there are 6 possible results and only one of these could be 4
The probability of not obtaining a 4 is 5/6
This is because the sum of the probability of obtaining a 4 and not obtaining a 4 is 1
Now, let us compare the odds
We have that as:
[tex]\begin{gathered} \frac{1}{6}\text{ to }\frac{5}{6}\text{ } \\ \\ which\text{ is:} \\ 1\text{ to 5} \end{gathered}[/tex]what would be the first step to this system of equations?
Answers
The first step to apply using the elimination method is by multiplying the whole value of equation 1 by 3/2.
[tex]\begin{gathered} (2x+3y=5\text{ )}\times\frac{3}{2} \\ -3x+2y=-14 \\ 3x+\frac{9}{2}y=\frac{15}{2} \\ -3x+2y=-14 \\ \frac{9}{2}y+2y=\frac{15}{2}-14 \\ \frac{9y+4y}{2}=\frac{15-28}{2} \\ \frac{13y}{2}=\frac{-13}{2} \\ 26y=-26 \\ y=-1 \\ -3x+2(-1)=-14 \\ -3x-2=-14 \\ -3x=-14+2 \\ -3x=-12 \\ x=\frac{-12}{-3} \\ x=4 \end{gathered}[/tex]i need help wit this sorting it out
Answers
Linear equations are also first-degree equations as it has the highest exponent of variables as 1
example: y=mx+b
Exponential equations: Are of the form-
[tex]y=ab^x[/tex]Quadratic equation:
[tex]y=ax^2+bx+c[/tex]From the question given
The options that conform to Linear equations are: B, C, F
The options that conform to exponential equations are: A, G, H
The options that conform to quadratic equations are: D, E
QuestionGiven the following frequency table of values, is the mean or the median a better measure of the center of the data set?
Answers
From the frequency table provided;
The median takes the exact value that is atthe middle of the data set, while the mean also does this but uses every one of the data provided in the process of doing this.
Hence, the Mean is a better measure of central tendency in this case
The volume of the cone is 267.95 cubic mm. Find the height of the cone. Use 3.14 for π.A. 16 mmB. 8 mmC. 4 mmD. 2mm
Answers
Explanation
Given that the volume if the cone is 267.95 cubic mm and that the radius of the cone is 8mm. We can find the height of the come below.
[tex]\begin{gathered} volume=\frac{1}{3}\pi r^2h \\ 267.95=\frac{1}{3}\times3.14\times8^2\times h \\ 267.95\times3=3.14\times64h \\ 200.96h=803.85 \\ h=\frac{803.85}{200.96} \\ h=4mm \end{gathered}[/tex]Answer: option C
Find the simple interest; Principal: $ 300, Rate: 18.5% , Time: 1.5 years
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Find the simple interest;
Principal: $ 300, Rate: 18.5% , Time: 1.5 years
Step 2:
The details of the solution are as follows:
[tex]Si\text{mple Interest = }\frac{Principal\text{ x Time x Rate}}{100}[/tex][tex]Simple\text{ Interest = }\frac{300\text{ x 18. 5 x 1. 5}}{100}[/tex][tex][/tex]suppose you find six articles related to the topic of your research paper. in how many ways can you choose four articles to read
Answers
Given
Number of articles you have to read = 6
Find
Number of ways to choose four articles to read.
Explanation
here , we apply permutations,
[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]so ,
[tex]\begin{gathered} ^6P_4=\frac{6!}{(6-4)!} \\ \\ ^6P_4=\frac{6!}{2!} \\ \\ ^6P_4=\frac{6\times5\times4\times3\times2!}{2!} \\ \\ ^6P_4=360 \end{gathered}[/tex]Final Answer
Hence , the number of ways to choose four articles to read is 360
A spinner contains the numbers 1 through 40. What is the probability that the spinner will land on a number that is not a multiple of 9? Give your answer as a fraction.
Answers
To solve this question, let us first list out the multiples of 9 between 1 and 40
The multiples of 9 are 9, 18, 27, 36.
To get the probability that the spinner lands on a number that is not a multiple of 9.
We can use the relationship:
[tex]1-P(9)[/tex]Where P(9) is the probability of obtaining a multiple of 9
Let us get P(9) first. Since there are 4 multiples of 9 between 1 and 40
[tex]P(9)=\frac{n\nu\text{mber of multiples }}{total\text{ numbers}}=\frac{4}{40}=\frac{1}{10}[/tex]Next, we will subtract this value from 1
[tex]1-\frac{1}{10}=\frac{10-1}{10}=\frac{9}{10}[/tex]The answer is:
[tex]\frac{9}{10}[/tex]
Suppose y varies directly with x, and y=8 when x=4. Find x when y=10.
Answers
Since y varies directly with x, we have the following relation:
[tex]\frac{y}{x}=k[/tex]Where k is a constant.
For y = 8 and x = 4, we have:
[tex]\begin{gathered} \frac{8}{4}=k \\ k=2 \end{gathered}[/tex]Then, for y = 10, we have:
[tex]\begin{gathered} \frac{10}{x}=2 \\ x=\frac{10}{2} \\ x=5 \end{gathered}[/tex]So for y = 10 we have x = 5.
round to the nearest whole number 3647 / 6=A. 607.83B. 607C. 608 D. 600
Answers
Find the volume of a cylinder with a radius 28 and height 18
Answers
Given:-
Radius of cylinder is 28 and Height of cylinder is 18.
To find:-
The volume of the cylinder.
So now we use the formula of cylinder,
[tex]v=\pi r^2h[/tex]Substituting the known values. we get,
[tex]v=\pi r^2h=\pi\times28\times28\times18=14112\pi[/tex]So the required solution is 14112pi.
A rare stamp in Lings collection is now worth $280. it's value has been increasing by 8% each year. the value of the stamp to continue increasing at this rate, so the function V(t) =280(1.08)^t estimates the value of GLing expects after t years.Ling graphed the function to find the number of years, to the nearest whole number, that he must wait before the stamp is worth approximately double it's current value.How many years will it take for the stamp to double in value?
Answers
9 years
1) Gathering the data
now worth $280
increasing by 8% each year.
V(t) =280(1.08)^t
2) Since we want to know how long it'll take for that stamp to double its value then we can write:
[tex]\begin{gathered} 280\times2=560 \\ 560=280(1.08)^t \\ \frac{560}{280}=\frac{280(1.08)^t}{280} \\ 2=(1.08)^t \\ \log _{1.08}(1.08)^t=\log _{1.08}2 \\ t\log _{1.08}(1.08)^{}=\log _{1.08}2 \\ t=\log _{1.08}2 \\ t\approx9.00 \end{gathered}[/tex]Notice that we had to apply the logarithms on both sides and we chose an appropriate base so that we can get rid of that 1.08 on the left side.
3) So, in approximately 9 years that stamp will have its current value doubled.
Given u = 35i − 12j, what are the magnitude and direction of −3u? Round to the nearest whole number.
Answers
Solution
For this case we have the following number:
u= 35i -12j
And we want to find the magnitude and direction of -3u so we have this:
-3 u = -105i + 36j
Then the magnitude is given by.
[tex]M=\sqrt[]{(-105)^2+(36)^2}=111[/tex]And the angle can be founded using this:
[tex]\theta=\tan ^{-1}(\frac{36}{-105})=-18.92[/tex]Therefore the angle is:
-18.92 + 360 º= 341º
The answer is:
111, 341º
which of the following best described the nature of roots if the discriminant is 2.a. roots are unreal and unequal. b.roots are real and equal.c.roots are not real and unequal. d.roots are not real.
Answers
hello
to find the discriminant of a root, i'll write down the formula for you
[tex]d=b^2-4ac[/tex]now there are six nature of roots
1.
what is the solution of 3+5n=5(n+2)-7
Answers
this is
[tex]\begin{gathered} 3+5n=5(n+2)-7 \\ 3+5n=5n+10-7 \\ 3+5n=5n+3 \\ 3+5n-3=5n+3-3 \\ 5n=5n \\ 5n-5n=5n-5n \\ 0=0 \end{gathered}[/tex]solution: equation is true for all n
find the total cost in pounds of 26 train tickets costing £9.62 each
Answers
SOLUTION
We are asked to find the total cost in pounds of 26 train tickets costing £9.62 each.
So, since the cost of one ticket is £9.62
Then the cost of 26 tickets will be
26 x 9.62 = £250.12.
Therefore, the answer is £250.12
The electric cooperative needs to know the main household usage of electricity by it’s non commercial customers in KWH per day. They would like the estimate to have a maximum error of 0.1 3 KWH. A previous study found that for an average Family the standard deviation is 2.1 KWH and the mean is 15.8 KWH per day. If they’re using a 99% level of confidence how large of a sample is required to estimate the mean usage of electricity. Round your answer to the next integer
Answers
ANSWER:
1737
STEP-BY-STEP EXPLANATION:
Given:
standard deviation (σ) = 2.1
Margin of error = E = 0.13
At 99% confidence level the z is:
[tex]\begin{gathered} \alpha=1-99\% \\ \\ \alpha=1-0.99=0.01 \\ \\ \alpha\text{/2}=\frac{0.01}{2}=0.005 \\ \\ \text{ The corresponding value of z is the following:} \\ \\ Z_{\alpha\text{/2}}=2.58 \end{gathered}[/tex]We can calculate the sample size using the following formula:
[tex]\begin{gathered} n=\left(\frac{Z_{\alpha \text{/2}}\cdot \sigma }{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ n=\:\left(\frac{2.58\cdot2.1}{0.13}\right)^2 \\ \\ n=1736.97\approx1737 \end{gathered}[/tex]The sample size is 1737
Marsha is playing a game with a set of cards numbered 1 through 10. What is the probability that Marsha will select a card with an odd number on it, replace it back into the deck, and then pick a card that has a value larger than 3?
Answers
Let:
A = Pick a card with an odd number
B = Pick a card that has a value larger than 3
N = Total number of cards
so:
[tex]\begin{gathered} P(A)=\frac{5}{N}=\frac{5}{10}=\frac{1}{2} \\ P(B)=\frac{7}{N}=\frac{7}{10} \end{gathered}[/tex]Since they are independent events:
[tex]\begin{gathered} P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=\frac{1}{2}\cdot\frac{7}{10}=\frac{7}{20}=0.35 \end{gathered}[/tex]Answer:
35%
14. If I offered you one of the two accounts detailed below, which would you choose, and why? Account 1 $1,000.00 Account 2 $1,000.00 $1,050.00 Start $1,060.00 After 1 year $1,102.50 $1,120.00 After 2 years $1,180.00 After 3 years $1,157.63 $1,215.51 $1,240.00 After 4 years
Answers
Accounts with interests
Account 1 = $1000
Account 2 = $1000
Account 1 ,increases by $60 anually
Account 2 ,increases exponentially , not fixed
50, 52.5 ,55, 58 etc...
THEN ANSWER IS
If you need money in 4 years , ill choose Account 1
BUT
if you can wait more time, say 10 years ,ill choose Account 2
Then
Account 1
After 5 years =$ 1300
After 10 years =$ 1600
After 15 years = $ 1900
After 20 years= $ 2200
After 25 years= $ 2500
Account 2
After 5 years=$1276. 27
After 10 years=$ 1611.34
After 15 years=$ 1987.6 + $10.85 = $1998.45
After 20 years=$ 2382.95 + $33.635 = $ 2416.585
After 25 years= $2936.22 + $104.26 = $ 3040.48
3 $15.60 to $11.70X ХFind each percent change. (Increase or Decrease?). Round to thenearest whole percent.Example: 25% increase
Answers
The percentage change from $15.60 to $11.70 is computed as follows:
[tex]undefined[/tex]please help!! I have a really big assessment that I just got that's due tomarrow and I don't know how Todo it!! please help
Answers
Regular polygon has same sides and angle and Irregular polygon do not have same side and angle
So number 54 and 55 are regular polygon
While number 56 is an Irregular polygon
school cafeteria has a restriction on the number of sugary drinks available to students restriction :drink may not have more than 25 grams of sugar based on this restriction what is the largest size koala in the cafeteria can offer to students remember a 12 oz. serving of cola contains about 40 grams of sugar name two equivalent ratio before you start your answer
Answers
We have a restriction on the sugar content on the drinks: it can not have more than 25 g of sugar.
We have to find the largest size of the cola drink, given that 12 oz of the cola drink have 40g of sugar.
The ratio of sugar content of the Cola drink is 12 oz : 40 g.
We can find the largest volume of the drink by calculating the volume that correspond to an amount of 25 grams of sugar (also rule of three can be used):
[tex]V=25g\cdot\frac{12\text{ oz}}{40\text{ g}}=25\cdot\frac{12}{40}\text{ oz}=7.5\text{ oz}[/tex]The largest cola drink can be 7.5 oz.
Answer:
The largest cola drink can be 7.5 oz
Step-by-step explanation:
How many snake man and red chrome books were sold all together .
Answers
You multiply each yellow book in the diamgram for 10 to find the total number of books sold:
Snake man books that were sold: 3 x 10 = 30
Red crow books that were sold: 5 x 10 = 50
Number of snake man abd red crow that were sold all together: 30 + 50 =80
Estimator bias occurs when a sample is not random and does not accurately represent the population being studied?
Answers
We say that an estimator is biased when it does not represent accurately the population being studied