One face of a cube-shaped package has an area of 7 5/8 square inches what is the lateral surface area of the package in square inches

Answers

Answer 1

Answer:

232.57 square inches

Step-by-step explanation:

The computation of the  lateral surface area of the package in square inches is shown below;

Let us assume the area of cube is a

Given that

a = [tex]7 \frac{5}{8}\ in^2[/tex]

As we know that in a cube there is a four faces so the lateral surface area would be

[tex]= 4a^2\\\\=4\times 7\frac{5}{8} ^2\\\\= 4\times (\frac{61}{8})^2\\\\= 4\times \frac{3721}{64} \\\\= 232.57[/tex]

= 232.57 square inches


Related Questions

How many feet are in 26 miles, 1155 feet ?

Answers

Answer:

The answer is 137,280

Step-by-step explanation:

5280 ft. = 1 mile

So....

26 x 5280 = 137,280

2. En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cuál es el ancho real del castillo?​

Answers

Answer:

Apigy 60918370927710 paojzob pour ta life yzs 029282728

The 2010 U.S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as follows. 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3 Compute the mean, median, mode, range, lower and upper quartiles, and interquartile range for these data. (Round the mean to 2 decimal places.) Mean

Answers

Answer:

[tex]\bar x =2.53[/tex] -- Mean

[tex]Median= 2[/tex]

[tex]Mode = 2[/tex]

[tex]Range = 8[/tex]

[tex]Q_1 = 1[/tex]

[tex]Q_3 = 3[/tex]

[tex]IQR = 2[/tex]

Step-by-step explanation:

Given

n = 30

Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3

Solving (a): The mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}[/tex]

[tex]\bar x =\frac{76}{30}[/tex]

[tex]\bar x =2.53[/tex]

Solving (b): The median

First arrange the given data

Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9

[tex]Median =\frac{1}{2}(n+1)[/tex]

[tex]Median =\frac{1}{2}(30+1)[/tex]

[tex]Median =\frac{1}{2}(31)[/tex]

[tex]Median = 15.5th[/tex]

This implies that the median is the average of the 15th and 16th item

[tex]Median = \frac{2+2}{2}[/tex]

[tex]Median = \frac{4}{2}[/tex]

[tex]Median= 2[/tex]

Solving (c): The mode

From the given data; 2 has the highest frequency of 11.

So,

[tex]Mode = 2[/tex]

Solving (d): The Range

[tex]Range = Highest\ Data - Lowest\ Data[/tex]

The highest is 9 and the lowest is 1,

So:

[tex]Range = 9 - 1[/tex]

[tex]Range = 8[/tex]

Solving (e): Lower (Q1) and Upper (Q3) quartile.

Q1 is calculated as:

[tex]Q_1 = \frac{1}{4}(n+1)th[/tex]

[tex]Q_1 = \frac{1}{4}(30+1)th[/tex]

[tex]Q_1 = \frac{1}{4}(31)th[/tex]

[tex]Q_1 = 7.75th[/tex]

[tex]Q_1 = 8th\ item[/tex]

[tex]Q_1 = 1[/tex] -- from the arranged data

Q3 is calculated as:

[tex]Q_3 = \frac{3}{4}(n+1)th[/tex]

[tex]Q_3 = \frac{3}{4}(30+1)th[/tex]

[tex]Q_3 = \frac{3}{4}(31)th[/tex]

[tex]Q_3 = 23.25th[/tex]

[tex]Q_3 = 23rd\ item[/tex]

[tex]Q_3 = 3[/tex] -- from the arranged data

Solving (f): The interquartile range (IQR)

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 3-1[/tex]

[tex]IQR = 2[/tex]

(-x2 -8y) + (-2xy - 2y2 + x2) + (-x2 + 4xy)

Answers

Answer:

-x² - 2y² + 2xy - 8y

Step-by-step explanation:

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing

Answers

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

Solve 5(2x – 3) = x – 15 + 9x for x.
Question 12 options:

A)

–18∕5

B)

–12∕5

C)

0

D)

Infinitely many solutions

Answers

Answer:

the correct answer is option C) 0

Hope that helps! :)

A four member work crew needed new equipment. Boots cost 75 each, safety vest cost 15 each and hard hats cost 30 each. What is the total cost of the new equipment for all of the members?

Answers

Multiply 75*4(300), 15*4(60), and 30*4(120) then add all the answers up (480)

On Friday, a local hamburger shop sold a combined total of 308 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

77

Step-by-step explanation:

x = hamburgers

3x = cheeseburgers

3x + x = 308

4x= 308

x = 77

Answer:

77

Step-by-step explanation:

Select the correct answer from each drop-down menu .

Answers

Answer:

Fountain= 147.65 square yards

path= 28.28 square yards

Step-by-step explanation:

pi*47 <---square root cancels out the square

=147.65

pi*56=175.93

175.93-147.65=28.28

I need help please.

Answers

Answer:

A) c(x)=2x+60

$74

Step-by-step explanation:

A) c(x)=2x+60

$74

1. (07.01 LC)
Look at the triangle:

What is the value of sin xº?

A) 12/13
B) 13/5
C) 13/12
D) 5/13

Answers

Answer:

D) 5/13

Step-by-step explanation:

Sin x = Opposite / Hypotenuse

Opposite side length = 5 cm

Hypotenuse length = 13 cm

Sin x = 5/13

Help me answer question 2 ​

Answers

Answer:

x + x + x

Step-by-step explanation:

We have 3y and are asked to express it equivalently with the answers provided.

I will go over the flaws of each answer and single it down to the correct one.

x * x * x would equal x^3, since this is being multiplied.

x^3 is equal to x * x * x, therefore it is not correct.

x + 3 is not correct because you cannot add numbers or variables that are not like terms, so it would not equal to 3y.

x + x + x would equal to 3y because they are all like terms and do not form exponents.

Using your linear function, find the distance traveled in 7 hours.

Answers

Answer:

Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.

We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.

We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.

Step-by-step explanation:

y = 350 miles

count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 455 miles

count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 140 miles

count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

y = 280 miles

count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.

Which expression represents the distance between the points (11, 4) and (5,8)?

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                 [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{13}[/tex]

What is the value of 3 3 5÷ 4 6?

Answers

Answer:a

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Solve the system of equations.
y = 2x + 3
2y = 4x + 10

A. Infinite Solutions

B. (-2,3)

С. (4,-1)

D. No Solution

Answers

Answer:

D. no solution

Step-by-step explanation:

substitute y = 2x + 3 in

2y = 4x + 10

gives 2(2x+3) = 4x + 10

4x - 4x = 10 - 6

therefore the equation has no solution

LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9

Answers

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

140 es múltiplo de 100​

Answers

Answer:

Step-by-step explanation:

No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.

Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).
Write the equation in slope-intercept form.

Answers

#First u find the gradient first, remember that the formula of equation of the line is y=mx + c

y = 3x - 3

so the gradient (m) is 3

#Now u find the equation of the line

y - y1 = m(x - x1)

y - 4 = 3(x - 6)

y - 4 = 3x - 18

y = 3x - 18 + 4

y = 3x - 14

Answer : y = 3x - 14

10. Given the function below, what is f(3)?
f(x) = 2x2 - x-5

Answers

Answer:

f(3) = 10

Step-by-step explanation:

f(3) = 2(3)^2 - (3) - 5

f(3) = 2(9) - (3) - 5

f(3) = 18 - 3 - 5

f(3) = 10


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(5, 38) (6, 39)

(39 - 38)/(6 - 5) = 1/1= 1

y - 38 = x - 5

y = x + 33

write an equation to represent the following statement. k divided by 11=7. solve for k. k=?

Answers

Answer:

77

Step-by-step explanation:

77/11=7

Answer:

k=77 because 77/11 is 7

Step-by-step explanation:

A pair of shoes costs $50. What is the total cost of the shoes after 7.25% tax is added? Round the tax to the nearest cent.

Answers

Answer:

Step-by-step explanation:

50(1+7.25/100)

50(107.25/100)

50(1.0725)

53.625

$53.63

Find the area of a triangle with a base of 7 cm and a height of 3 cm.
21 cm squared
10.5 cm squared
20 cm squared
10 cm squared

Answers

Answer:

10.5 cm

Step-by-step explanation:

took the test

Which function family should be used to solve the following question?
A team of scientists is studying the rate of growth of bacteria in a lab. It is found that the number of bacteria colis triplos overy
hour. If there are 6 bacteria at the beginning of the study, how many bacteria will be present after 7 hours?
A. Linear Function Family
OB. Quadratic Function Family
OC. Exponential Function Family
OD. Absolute Value Function Family

Answers

Answer:

I think d is the answer

The Harris Poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:

Professional Football Baseball Men's college football Auto racing Men's professional basketball IceHockey OtherSports
111 39 46 14 6 20 108
Do college undergraduates students differ from the general public with regard to their favorite sports? Use x= .05.

Answers

Answer:

The calculated  χ²  = 20.779  falls in the critical region  χ² ≥ 14.46 so we accept the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the college undergraduates students do not differ from the general public with regard to their favorite sport

H0:  μ1= μ2=μ3=μ4= μ5=μ6=μ7=μ

against the claim

Ha: the college undergraduates students differ from the general public with regard to their favorite sport

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is ( Pearson goodness of fit test )

χ²= ∑ (O - E)²/ E   where O is the observed and E is the expected frequency

which has an approximate chi square distribution with 6 (n-1) d.f

4) Computations:

Under H0 , the observed frequencies are :

 Observed       Expected          (O-E)          (O-E)²                   (O-E)²/E

 111                    (0.33*344)=

                             113.52           -2.52             6.3054              0.0555

  39                      51.6               -12.6              158.76               3.0767

  46                       34.4               11.6               134.56              3.911

  14                       20.64              -6.64           44.0896           2.136

  6                        17.2                   -11.2            125.44             7.293

 20                       17.2                    2.8             7.84                 0.4558

108                       89.44                18.56           344. 4736       3.8514              

                              344                                                             20.779    

 

5) The critical region is χ² ≥  χ² (0.025)6 = 14.45

6) Conclusion:

The calculated  χ²  = 20.779  falls in the critical region  χ² ≥ 14.46 so we reject the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.

Given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.

Since the Harris Poll tracks the favorite sport of Americans who follow at least one sport, and results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%, considering a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:

Professional Football = 111 Baseball = 39 Men's college football = 46 Auto racing = 14 Men's professional basketball = 6 Ice Hockey = 20 Other Sports = 108

To determine if college undergraduates students differ from the general public with regard to their favorite sports, the following calculation must be performed:

Pro football = 111/344 = 0.3226 = 32.26% (-0.74). Baseball = 39/344 = 0.1133 = 11.33% (-3.67). Men's college football = 46/344 = 0.1337 = 13.37% (+3.37). Auto racing = 14/344 = 0.0406 = 4.06% (-2.94). Men's professional basketball = 6/344 = 0.0174 = 1.74% (-3.26). Ice Hockey = 20/344 = 0.0581 = 5.81% (+0.81). Other Sports = 108/344 = 0.3139 = 31.39% (+5.39).

Therefore, given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.

Learn more about percentages in https://brainly.com/question/6498833

Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?

a. “Every year since 1950, the number of American children gunned down has doubled.”

b. “The number of child gunshot deaths has doubled from 1950 to 1994.”

Answers

Answer:

They are in conflict.

Step-by-step explanation:

for statement (a) we have child gunshot deaths doubling every year. So if it was 1 death in 1950, it is 2 in 1951, 4 in 1952, 8 in 1953, 16 in 1954. That would make the deaths in 1994 = (deaths in 1950) x 2 x 2 x 2 x 2 ... with 44 factors of 2. That number is over a trillion.

for statement (b) we have child gunshot deaths doubling over a period of 44 years, which might even be true

Darlene's cat had a litter of southern kittens Three of the kittens were black what fraction of the kittens were not black also right this fraction into a division problem

Answers

It’s that because when. You do the thing it feels good

Answer:

1/4

Step-by-step explanation:

whats 1+1?
please do answer!

Answers

Answer:

I thought it was 3, no wait its 2

Step-by-step explanation:

You are thinking of the Principia Mathematica, written by Alfred North Whitehead and Bertrand Russell. Here is a relevant excerpt:

Picture Below

As you can see, it ends with "From this proposition it will follow, when arithmetical addition has been defined, that 1+1=2." The theorem above, ∗54⋅43, is already a couple of hundred pages into the book (Wikipedia says 370 or so); the later theorem alluded to, that 1+1=2, appears in section ∗102, considerably farther on.

I wrote a blog article a few years ago that discusses this in some detail. You may want to skip the stuff at the beginning about the historical context of Principia Mathematica. But the main point of the article is to explain the theorem above.

The article explains the idiosyncratic and mostly obsolete notation that Principia Mathematica uses, and how the proof works. The theorem here is essentially that if α and β are disjoint sets with exactly one element each, then their union has exactly two elements. This is established based on very slightly simpler theorems, for example that if α is the set that contains x and nothing else, and β is the set that contains y and nothing else, then α∪β contains two elements if and only if x≠y.

The main reason that it takes so long to get to 1+1=2 is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps. The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do.

The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?

Answers

Answer:

C

Step-by-step explanation:

The possible value of the machine at the end of each year will be $3200

What is depreciation?

Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.

Given that, the value of a machine is decreasing by a constant percent rate each year, we need to find the possible value of the machine at the end of each year,

So, we can say that this is a case of depreciation,

Since, the values are not given, let us consider the rate be 20% and the initial price of the machine be $16000.

We know that, the depreciation, formula is given by :

A = P(1-r)ⁿ

Where, A = final amount, P = initial amount, r = rate and n = time.

Since, the value is decreasing by a constant percent rate each year,

Therefore, every year the amount decreased will be same,

Finding for 1 year,

A = 16000(1-0.2)¹

A = 16000(0.8)

A = 12800

The amount decreased = 16000-12800 = $3200

Therefore, after each year the decreased amount will be $3200

Hence, the possible value of the machine at the end of each year will be $3200

Learn more about depreciation, click;

https://brainly.com/question/15085226

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