The total surface area of a cube is 600 sq cm what is the length of one edge of the cube

Answers

Answer 1

Answer:

4.64

Step-by-step explanation:

s = 6a^3

600=6a^3

100 = a^3

solve for a which would be 4.64


Related Questions

Which is a counterexample for the conditional statement shown?

If two distinct points are graphed on a coordinate plane, then the line connecting the points can be represented with a function.

The points have the same x-coordinate value.
The points have the same y-coordinate value.
The points follow the rule (x, y) (–x, –y).
The points follow the rule (x, y) (–y, –x).

Answers

Answer: First Option

The points have the same x-coordinate value.

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists only one output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There are two output values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

Then the correct option is:

The points have the same x-coordinate value.

Let f(x) = 3x2 - 6x + 2. Find f(-2).

A) 20

B) 22

C) 24

D) 26

Answers

Answer:

D) 26

Step-by-step explanation:

f(x) = 3x^2 - 6x + 2

Let x = -2

f(-2) = 3(-2)^2 - 6(-2) + 2

      =3(4) +12+2

      = 12 +12+2

     =26

For this case we have a function of the form [tex]y = f (x).[/tex]

Where:

[tex]f (x) = 3x ^ 2-6x + 2.[/tex]

We must find the value of the function when [tex]x = -2.[/tex]

Substituting we have:

[tex]f (-2) = 3 (-2) ^ 2-6 (-2) +2\\f (-2) = 3 * 4 + 12 + 2\\f (-2) = 12 + 12 + 2\\f (-2) = 26[/tex]

Thus, the value of the function is 26.

Answer:

26

Option D

A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Explain your reasoning.

Answers

Answer:

Part A) The slope is undefined

Part B) The equation of the line is [tex]x=p[/tex]

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](p,a)\ (p,-a)[/tex]

Substitute the values

[tex]m=\frac{-a-a}{p-p}[/tex]

[tex]m=\frac{-2a}{0}[/tex]  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

[tex]x=p[/tex]

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

The grass in jamie's yard grew 16 centimeters in 10 days.It was growing at a constant rate. How many days did it take the the grass to grow 1 centimeter?,How many centimeter did the grass grow in 1 day? ​

Answers

Answer:

1.6 cm

0.625 day

Step-by-step explanation:

We are given that the grass in Jamie's yard grew 16 cm in 10 days.

It was growing at constant rate.

We have to find number of days taken by the grass to grow 1 cm and how many cm  grass grow in one day.

In 10 days , grass grow=16 cm

In 1 day, grass grow=[tex]\frac{16}{10}=1.6 cm[/tex]

Grass takes time to grow 16 cm=10 days

Grass takes time to grow 1 cm=[tex]\frac{10}{16}[/tex]=0.625 days

Hence, the grass grow 1 cm in 0.625 days and the grass grow 1.6 cm in one day.

Final answer:

To find the number of days it took for the grass to grow 1 centimeter, divide the number of days by cm of growth. This equals 0.625 days. To find how many centimeters the grass grew in a day, divide the total growth by the total number of days. This equals 1.6 centimeters per day.

Explanation:

The problem states that the grass in Jamie's yard grew 16 centimeters in 10 days at a constant rate. We can set up two equal ratios to find out how many days it took for the grass to grow 1 centimeter and how many centimeters it grew in 1 day.

Firstly, to determine the number of days it took for the grass to grow 1 centimeter, you can divide the number of days (10) by the number of centimeters (16). This gives us 10/16 = 0.625 days for the grass to grow 1 centimeter. Secondly, to determine how many centimeters the grass grew in 1 day, you would divide the total growth (16 centimeters) by the total number of days (10). This results in 16/10 = 1.6 centimeters of growth per day.

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-3x + 8 <15 find the solution set of the inequality

Answers

Subtract 8 from both sides

-3x < 15 - 8

Simplify 15 - 8 to 7

-3x < 7

Divide both sides by -3

= x > -7/3

Answer:

x > - 2 1/3

Step-by-step explanation:

- 3x + 8 < 15

- 3x < 7

x > - 2 1/3

What is 3 2/3 + 5 11/24?!

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{What is 3}\frac{2}{3}\ + 5\frac{11}{24}[/tex]

[tex]\text{3}\frac{2}{3}\rightarrow 3\times3=9\rightarrow9+2=11\rightarrow\ \rightarrow\frac{11}{3}[/tex]

[tex]5\frac{11}{24}\rightarrow5\times24=120\rightarrow120+11=131\rightarrow\ \rightarrow\frac{131}{24}[/tex]

[tex]\text{Your problem becomes:}\frac{11}{3}+\frac{131}{24}[/tex]

[tex]\text{Solve that}\uparrow\text{and your should come up to}\rightarrow[/tex] [tex]\frac{73}{8}\ or\ 9\frac{1}{8}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{73}{8}\ or \ 9\frac{1}{8}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which is the graph of the function f f(x)=(x-4)(x+4)?

Answers

Answer:

4th bubble

Step-by-step explanation:

First FOIL: f(x) = x² + 3x - 4. Then convert from Standard Form [y = Ax² + Bx + C] to Vertex Form [y = A(X - H)² + K], where (h, k) is the vertex and -h gives the OPPOSITE terms of what they really are. So, you do this by completing the square [½B]²:

2¼ = [½(3)]² [then figure out figure out how much you need to get to -4 (k)]2¼ - 6¼ = -4Your vertex formula is y = (x + 1½)² - 6¼.

Remember, -h gives the OPPOSITE terms of what they really are, so your vertex is (-1½, -6¼).

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

Given ax^+bx+c=2(1.2x+0.3)(x-0.5)+(0.5x^+2.5x-1.3). What are the values of a,b, and c?

Answers

For this case we must find the values a, b, c:

[tex]2 (1.2x + 0.3) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x + 0.6) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We apply distributive property:

[tex](2.4x ^ 2-1.2x + 0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x ^ 2-0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We finish the term:

[tex]2.9x ^ 2 + 1.9x-1.6[/tex]

Answer:[tex]a = 2.9\\b = 1.9\\c = -1.6[/tex]

50 points!

For which rational expression is -5 an excluded value of x?
A) x-5/6
B) x+5/6
C) 6/x-5
D) 6/x+5

Answers

Answer:

D

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

Consider expression D

[tex]\frac{6}{x+5}[/tex]

This will be undefined when

x + 5 = 0 ⇒ x = - 5 ← excluded value → D

Answer:

D) 6/x+5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

In this example, we will use D

x + 5 = 0 ⇒ x = - 5 ( Excluded value )

Which two points in the graphed function have an average rate of change of 5?

Answers

Answer:

B. points A and B

Step-by-step explanation:

"Rate of change" is just a fancy name for slope.

The question asks for points on the graph having a slope of 5.  We know a slope of 5 is a positive (goes up from left to right) and it's quite steep.

By looking at the graph, we see that to have a slope of 5, it has to take place in the first half of the graph.

Let's look at the possible options:

A. Points D and F: From point D to point F, you're going down, so the slope is negative.  NO

B. Points A and B: goes up, pretty steep.  Let's calculate the slope.

Point A: (2,1), Point B: (3,6)

Slope = (6 - 1) / (3 - 2) = 5 / 1 = 5

We found it!

C. Points B and C: goes up, pretty steep too.  Let's calculate the slope:

Point B: (3,6) , Point C: (4,9)

Slope = (9 - 6) / (4 - 3) = 3 / 1 = 3, NO, not the slope we're looking for

D. Points C and E: goes down, NO,  not what we want.

Helppp????? Answer????

Answers

Answer:

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

Step-by-step explanation:

Sue has sweets = 18

Tony has sweets = 18

Sue give Tony  sweets = x

Sweets left for Sue = 18 - x

Sweets for Tony = 18 + x

Sue eats 5 sweets = (18-x) -5

Tony eat half of his sweets = (18 +x)/2

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

What is the area of this figure ?

Answers

The area of the figure which is composed of a rectangle and a square is 76 km²

What is the area of the composite figure?

The figure in the image is composed of a rectangle and a square.

The area of a rectangle = length × width

The area of a square = length²

To determine the area of the figure, we add the area of the rectangle and the area of the square.

Area of the figure = ( length × width ) + ( length² )

Plug in the given dimensions:

Area of the figure = ( 9 km × 8km ) + ( 2 km )²

Simplifying; we get:

Area of the figure = 72 km² + 4 km²

Area of the figure = 76 km²

Therefore, the area of the composite figure measures 76 km².

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A cube has a volume of 216 cubic centimeters. What can be concluded about this cube? Check all that apply.

Recall the formula: Cube V= s^3

The side length, s, can be found using the equation 3s=216
This is a perfect cube.
The side length is 72 centimeters.
The side length is 6 centimeters.
Taking the cube root of the volume will determine the side length.
If you multiply the volume by three, you can determine the side length.

Answers

Answer:

Second option: This is a perfect cube.

Fourth option: The side length is 6 centimeters.

Fifth option: Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

You know that the volume of a cube can be calculated with:

[tex]V=s^3[/tex]

Where s is the lenght of any side of the cube.

Since you know the volume of this cube, you can calculate the side lenght by  solving for "s". You can make this taking the cube root of the volume.

Therefore, you get that the side lenght of this cube is:

[tex]s=\sqrt[3]{216cm^3}[/tex]

[tex]s=6cm[/tex]  

(Since it has exact cube root, it is a perfect cube)

Answer:

B,D,E

Step-by-step explanation:

Which set of ordered pairs is a function?

Answers

Answer:

The second set is a function as none of the x values repeat.

Step-by-step explanation:

In order for a set of ordered pairs to be a function, they must only have one range value for each domain value.

In other words, an x value cannot occur twice.

Within the first set, the value x=2 is repeated 5 times. This means that it is not a function

Within the third set, the value x=1 is repeated twice and x=4 is repeated twice, This means that it is not a function

Within the fourth set, the value x=1 is repeated twice and x=2 is repeated twice, this means that this is not a function

The second set is a function as none of the x values repeat.

Answer:

the second one is a function

Step-by-step explanation:

Rolling probability of 2

Answers

The answer is 25%

If you roll 20 times in total and you land on two 5 times   5/20 = .25

Hope this helps!

what is the surface area of this square pyramid

Answers

Answer:

33 ft²

Step-by-step explanation:

We have

the square with side s = 3ft

four triangles with base b = 3ft and height h = 4ft

The formula of an area of a square:

[tex]A=s^2[/tex]

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=3^2=9\ ft^2[/tex]

[tex]A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2[/tex]

Answer:

33 ft&²

Step-by-step explanation:

multiply 4x3x3 = 36 and put half of 6, then it is 33 33ft²

The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Tile costs $7 per square foot. What is the cost of the tile for the kitchen?

The cost of the tile for the kitchen is $___

Answers

Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

Answer:

Cost of the tiles for the kitchen is $1680

Step-by-step explanation:

From the figure attached,

Dimensions of the kitchen = 5 small squares by 3 small squares

Since 1 small square = [tex]\frac{1}{4}[/tex] inch

So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches

Map Scale has been given as

1 inch = 16 ft

Therefore actual dimensions of the kitchen will be

[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft

= 20 ft by 12 ft

Area of the kitchen = 20×12

= 240 ft²

Per square feet tile cost = $7

So the cost of tiling 240 ft² will be = 240 × 7

= $1680

Therefore, cost of the tiles for the kitchen is $1680

find the surface area of the rectangular prism
4x2x3

Answers

Answer:

52

Step-by-step explanation:

Answer:

64 in²

Step-by-step explanation:

Please, include the units of measurement:

"rectangular prism 4 in by 2 in by 3 in."

One side is 4 by 2 in², or 8 in²; another is 4 by 3 in², or 12 in², and the third side is 3 by 4 in², or 12 in².  We have 2 of each side, so the total surface area is

A = 2(8 in² + 12 in² + 12 in²) = 2(32 in²), or 64 in²

A. A frog is climbing out of a well that is 8 feet deep. The frog can climb 4 feet per
hour but then it rests for an hour, during which it slips back 2 feet. How long will
it take for the frog to get out of the well?

B. What if the well was 40 feet deep, the frog climbs 6 feet per hour, and it slips back
1 foot while resting? ​

Answers

Answer:

A: 5 hrs.   B: 14 hrs. and 40 min.

Step-by-step explanation:

too long to explain.

Final answer:

In the first scenario, the frog takes 4 hours to get out of the 8-feet deep well. In the second scenario, it takes the frog 8 hours to get out of the 40-feet deep well.

Explanation:

The question is about calculated frog’s movement to get out of a well involving both climbing rate and slip-back rate during rest which brings us into the realm of simple arithmetic and mental math. Let's take each case one at a time.

A. 8 Feet Deep Well

The frog climbs 4 feet per hour but then slips back 2 feet. Therefore, effectively, the frog climbs only 2 feet per hour (4-2=2). After 3 hours, the frog would have climbed 6 feet (3*2=6). In the fourth hour, the frog would climb another 4 feet reaching a total of 10 feet, but since the well is only 8 feet deep, he would have already climbed out. Therefore, it would take the frog 4 hours to climb out of the well.

B. 40 Feet Deep Well

The frog climbs 6 feet per hour and slips back 1 foot, therefore effectively climbs 5 feet per hour (6-1=5). After 7 hours, the frog would have climbed 35 feet (7*5=35). In the eighth hour, the frog would climb additional 6 feet, reaching a total of 41 feet. Again, considering the well is only 40 feet deep, he would have climbed out at this point. So, it would take 8 hours for the frog to climb out of a 40 feet deep well.

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The answer is A right?

Answers

Answer:

C. 42

Step-by-step explanation:

PEMDAS

1. Parentheses: (4 + 2) = 6

6² + 3 • 2

2. Exponents: 6² = 36

36 + 3 • 2

3. Multiplication/Division: 3 • 2 = 6

36 + 6

4. Addition/Subtraction: 36 + 6 = 42

42

What are the zeros of the function f(x)= x^2-x-12/ x^2+x-12

Answers

Answer:

x=-3 ;       x= 4

Step-by-step explanation:

zeros of the function are the value of x at which the function becomes zero. Or graphically when the graph line crosses the x-axis those values of x are the zeros of the function.

Finding zeros of given function f(x)= x^2-x-12/ x^2+x-12 by substituting f(x)=0

0=  x^2-x-12/ x^2+x-12

0= (x+3)(x-4)/(x-3)(x+4)

(x+3)(x-4)=0

(x+3)=0  ; (x-4)=0

x=-3 ;       x= 4

the zeros of the function f(x)= x^2-x-12/ x^2+x-12 are at point x=-3 and x= 4 !

Answer:

-3,4

Step-by-step explanation:

A.P.E.X

a bottle contains 2.360 ml of a liquid. the total mass of the bottle and liquid together is 6.160g. The mass of the empty bottle is 4.850 g. what is the density of the liquid?
A) 2.610 ml
B) 1.802 ml
C) 0.555 ml
D) 2.055 ml

Answers

Answer:

C.) 0.555

Step-by-step explanation:

This is annoying because we're dealing with decimals.

So, we need to know how density works. Density works by dividing mass (g) by volume (ml).

Since the empty bottle has a mass of 4,850g and the bottle + the liquid have a total mass of 6.160g, we'll subtract the bottle's mass from the total mass, giving us 1.310g. Again, we divide mass by volume to obtain density (which should be listed as g/ml).

1.310 ÷ 2.360 = ~0.555

Therefore, your answer is 0.555

Final answer:

The density of the liquid in the bottle is calculated by dividing the mass of the liquid (found by subtracting the mass of the empty bottle from the total mass when full) by its volume. The correct answer is C) 0.555 ml.

Explanation:

The subject here is density, which is a physical property of a substance that can be calculated by its mass over its volume. In your case, you are being asked to find the density of the liquid inside the bottle. This can be done by first, finding the mass of the liquid alone, then dividing that by the volume of the liquid given in the question.

The mass of the liquid can be found by subtracting the mass of the empty bottle from the total mass of the bottle when full (6.160g - 4.850g = 1.310g). The volume of the liquid is already given as 2.360 ml.

Finally, you compute the density by dividing the mass of the liquid by its volume (1.310g / 2.360 ml = 0.555 g/ml).

So, the correct choice is C) 0.555 ml.

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In which quadrant is the number –14 – 5i located on the complex plane?

Answers

Answer:

3rd Quadrant

Step-by-step explanation:

The "i" in complex numbers behave same as the y in real numbers, so basically this number translated in real would be same as (-14,-5).

To graph this, we have to go -14 units in x direction and -5 units in y direction. Basically, 14 units to the left and then 5 units down. That will place us in 3rd quadrant.

Hence, -14 -5i will fall in the 3rd quadrant of the complex plane.

Answer:

C. III

Step-by-step explanation:

Help me.. ASAP just number 10 pls

use the bar graph to find the experimental probability of the event

Answers

10 ~ Spinning A 3

I hope this helps!~ I tried

Honestly I feel like it is 10.

What is the domain of the square root function graphed below?

Answers

Answer: all real numbers

Step-by-step explanation: the domain for any function is always , all real numbers or in other words, negative infinity to positive infinity.

Answer:

c. x >= 0

Step-by-step explanation:

Find the area of a triangle which has a base of 22cm and a height of 16cm

Answers

The area of the triangle will176 because 22×16 you will 352 s you just need to divide that by two and you get 176 so you your total area for the triangle is 176 and don’t forget put as square

10 mm
4 mm
u What is the volume of the cone to the nearest whole number?

Answers

Answer:

V=167.5 cubic mm

Step-by-step explanation:

Volume of the Cone is given with the formula

[tex]V=\frac{1}{3} \pi r^2h[/tex]

though we are not specified what is radius and which one is the height , we are assuming that ,

Height = 10 mm

Radius = 4 mm

Substituting these values in the formula we get

[tex]V=\frac{1}{3} \pi 4^2 \times 10[/tex]

[tex]V=\frac{1}{3} \pi 160[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{502.40}{3}[/tex]

[tex]V=167.5[/tex]

Math 3: First question on the attached file

Answers

Step-by-step explanation:

cos 330°=cos ( 360 -30)

In fourth quad the value of cos A is positive .

All angles when subtracted by multiple of 180° or (π) the function remain same

cos (30°)=√3/2

Also-

Cos(330)=Cos(360–30)

since Cos(360-x)=cos(x) where x is in degree

Cos(330)=Cos(30)= √ 3 /2 ~ 0.866

Answer:

Answer:

cos ( 330 º ) = √ 3 /2

Explanation:

Remember that  

cos ( a − b ) = cos ( a ) cos ( b ) + sin ( a ) sin ( b )

and that  

330 º = 360 º − 30 º , so

cos ( 330 º ) = cos ( 360 º − 30 º ) = cos ( 360 º ) cos ( 30 º ) + sin ( 360 º ) sin ( 30 º )

The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. We know that  

sin 0 º  is 0, and that  cos 0 º = 1  so

cos ( 330 º ) = 1 ⋅ cos ( 30 º ) + 0 ⋅ sin ( 30 º )

cos ( 330 º ) = √ 3 /2

Hope This Helps!  Have A Nice Day!!

The side of a square measures 3mn2? What is the area of the square if x = -2 and y = 2?

Answers

Answer:

ur  cute

Step-by-step explanation:

What does x^4-7x+10 equal

Answers

Answer:

7

Step-by-step explanation:

Other Questions
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