The following figure shows a cube. Which expression represents the surface area of the cube?

The Following Figure Shows A Cube. Which Expression Represents The Surface Area Of The Cube?

Answers

Answer 1

Answer:

6 ⋅ 16

This is the sum of the areas of the 6 square faces.

Answer 2

The surface area of the cube in the figure given is 96 squared units

What is surface area of a cube?

The surface area of a cube is calculated by finding the total area of all six faces. Since all sides of a cube are equal in length, you can use the formula:

Surface area of a cube = 6 × (side length)²

In other words, you square the length of one side of the cube and then multiply it by 6 to get the total surface area.

Let's say the side length of the cube is "s," then the formula becomes:

Surface area of a cube = 6 × s²

In the question given, we can calculate the surface area of this cube as;

Surface area = 6 * s²

s = 4

Surface area = 6 * 4²

Surface area = 6 * 16 = 96 unit²

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Related Questions

1. Mlla's cranbenyulce recipe uses 3 cups of water and 1 cup of cranberry concentrate.
Enter the percentage of the cranberry Juice recipe that is water.
126

Answers

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

Please mark as brainliest!

if 2x2 is 4 then why is 2+2 5????

Answers

Answer:

Simple it's not

Step-by-step explanation:

Answer:

wait.... 2x2 is 4 2 + 2 = 4?

Step-by-step explanation:

two examples of likely and unlikely events in mathematics probability​

Answers

Answer:

what's likely is times or Addition less like likely is subtraction or rounding

A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
a). Identify the dependent and independent variable.
b). Make a table of values for the cost of $C of an appointment with the lawyer for time t hours where t= 0,1,2,3,4.
c). What is the relationship between C and t linear?
d). If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give reason with your answer.
e). For every increase of 1 hour for t, what is the change in C?
f). For an appointment with the lawyer, what is the fixed cost and variable cost?

Answers

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
[tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

Explain the difference between yi and ŷi.

Answers

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

[50 points!]

Find P (Freshman | Boy)

Hint:
P(A and B)/P(B)

Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.


Answers

Answer:

1/3

Explanation:

P(Freshman | Boy)

Freshman = 4Boy = 12

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

Business mathematics.

Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?

Answers

Answer:

$6200

Step-by-step explanation:

2% of $5000 = $100

So that's a hundred dollars per week

12 weeks x $100 = $1200

$5000 (The original amount the first customer borrowed)

+ $1200 (The interest rate)

= $6200

(P.S. Please give me a brainliest if you can)

Sushil was thinking of a number. Sushil halves the number and gets an answer of 61.4. Form
an equation with x from the information.
X

Answers

61.4⋅2=x
x=122.8

hope this helps!

[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]

Answers

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

→ EXPLANATION :-

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

solve for the missing side!
please be quick i will give brainlist

Answers

Answer:

15m

Step-by-step explanation:

You need to do the Pythagorean Theorem:

a^2 + b^2 = c^2

*(The ^ is meaning to a power or squared in this case)*

You are solving for c which is the hypothenuse!

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2  *(The opposite of squaring something is the square root)*

c= The square root of 225

That shall be simplified to 15

According to Pythagoras theorem

Base² + perpendicular ² = Hypotenuse ²

12² + 9² = H²

144 + 81 = H²

225 = H²

H = √225

H = 15

Hypotenuse = 15m

HOPE IT HELPS :)

Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2.

Answers

Answer: 7lb

Step-by-step explanation:

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

Answer:

See below

Step-by-step explanation:

D o you want pounds / sq foot ?

252 lbs / 36 ft^2 =   7 pounds per square foot

Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.

Answers

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?

Answers

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

The other person who answered is correct

Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).

Answers

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

Help picture below problem 4

Answers

Answer:

The answer is A

Step-by-step explanation:

A pentagon is a polygon that has 5 sides and 5 vertices.

What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81

Answers

Answer:

mode=92

Step-by-step explanation:

Solution

no of data=9(odd)

mode= n+1/2

= 9+1/2

=10/2

=5th position

mode= 92

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Help picture below problem 19

Answers

B- it is 1 because if you simplify your answer you will get 1

Answer:

9

Step-by-step explanation:

Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x  (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so,  9 (by the power 1) is 9

if a man is 6"2 in height and shrinks 3 inches how tall is he now?

Answers

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

if the length of diagonal of a square is 4-√2 cm, find it's length, perimeter and area.​

Answers

Step-by-step explanation:

1) the length of the side is:

[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]

2) the required perimeter is:

[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]

3) the required area is:

[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]

Answer:

Side length = (2√2 - 1) units

Perimeter = (8√2 - 4) units

Area = (9 - 4√2) units²

Step-by-step explanation:

Properties of a square:

It is a quadrilateralThe opposite sides are parallelAll four sides are equal in lengthAll interior angles measure 90°

The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.

Let x = side length of the square

Using Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ x² + x² = (4 - √2)²

⇒ 2x² = 18 - 8√2

⇒ x² = 9 - 4√2

⇒ x = ±(2√2 - 1)

⇒ x = 2√2 - 1  only (as distance is positive)

Perimeter of a square = 4x

                                    = 4(2√2 - 1)

                                    = 8√2 - 4

Area of a square = x²

                            = (2√2 - 1)²

                            = 9 - 4√2

which combinations hold the same amount of liquid as an 8-pint bowl

Answers

The correct answers are C, D, and E.

1 quart = 32 fl oz
1 pt = 16 oz

Using these conversions you will multiply the number of quarts or pints by the number of ounces in each and then add the totals together to find if they equal 128 oz.

C. 4 x 32 = 128 oz
D. 2 x 32 + 8 x 8 = 128 oz
E. 3 x 32 + 2 x 16 = 128 oz

The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?

Answers

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.

show complete solution ​

Answers

I hope I can help you:)

(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)

Answers

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

Solve the system of equation.

+3=17
x
+
3
y
=
17

−+2=8

x
+
2
y
=
8



Step 1: Find the LCM to eliminate the x.

Step 2: Write the new equation.

Step 3: Divide to solve for y.

Answers

Answer:

Equation 1:   x + 3y = 17

Equation 2:  -x + 2y = 8

Add Equation 2 to Equation 1:

     x + 3y = 17

+   -x + 2y = 8

           5y = 25

Divide both sides by 5:

[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]

[tex]\sf \implies y=5[/tex]


Using proportions to solve for missing sides.
BCD~GEF, find BD.

Answers

Answer:

  BD = 19

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so we have ...

  BD/GF = BC/GE

  (2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram

  17(2x -7) = 19(x +4) . . . . . . . . multiply by 969

  34x -119 = 19x +76 . . . . . eliminate parentheses

  15x = 195 . . . . . . . . . add 119-19x

  x = 13 . . . . . . . . . . divide by 15

  BD = 2(13) -7 . . . . use the found value of x in the expression for BD

  BD = 19

time as 3 meters of yarn. How many centimeters of yarn does Tim have?​

Answers

1 meter is 100 centimeters. So time has 300 centimeters of yarn.
(3 meters) x (100 centimeters) = 300 centimeters.

What is the value found using the linear​ approximation? ln(0.93) ≈

Answers

Answer:

I think its 0.9 I believe so

6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?

Answers

Answer:

5 hours

Step-by-step explanation:

The question is

The tourists walked a distance of 22 km during a day.

The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.

What was the total time they walked.

----------------------

Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance

3*4 + t*5 = 22

Solve for t

12 + 5t = 225t = 22 - 125t = 10t = 2

The total time was

3 + 2 = 5 hours

Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive​

Answers

1 hour = 60 minutes
3 hours = 180 minutes

180 minutes divided by 4 grade levels = 45 minutes per grade level.

45 minutes x 4 classes = 180 minutes total

Each grade level will receive 45 minutes in the gym equally.

Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches

Answers

Answer:

C

Step-by-step explanation:

the surface consists of

3 front squares

3 back squares

2 right side squares

2 left side squares

2 top squares

2 bottom squares

that means we have in total 14 squares.

one square is 4×4 = 16 in²

so the total surface area is

14 × 16 = 224 in²

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