The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 A cube of gold weighs 652 grams. Calculate the length of the edge of the cube in centimeters. Answer with two decimal places.

Answers

Answer 1

The length of the edge of the cube is 3.23 cm .

Step-by-step explanation:

We have , The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 or [tex]y = 19.3x^3[/tex] .  A cube of gold weighs 652 grams i.e. y = 652 . Let's calculate value of x from above data:

[tex]y = 19.3x^3[/tex]

⇒ [tex]y = 19.3x^3[/tex]

⇒ [tex]652= 19.3x^3[/tex]

⇒ [tex]19.3x^3=652[/tex]

⇒ [tex]\frac{19.3}{19.3}x^3=\frac{652}{19.3}[/tex]

⇒ [tex]x^3=\frac{652}{19.3}[/tex]

⇒ [tex]\sqrt[\frac{1}{3} ]{x^3} = \sqrt[\frac{1}{3} ]{\frac{652}{19.3}}[/tex]

⇒ [tex]({x^3})^\frac{1}{3} =({\frac{652}{19.3}})^\frac{1}{3}[/tex]

⇒ [tex]x =(33.78)^\frac{1}{3}[/tex]

⇒ [tex]x =3.23[/tex]

Therefore, the length of the edge of the cube  is 3.23cm.


Related Questions

The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular fence. The radius of the tank is 6 feet and the walkway between the tank and the fence is 4 feet. How much fencing will they need to order to fence off the tank? Round to the nearest tenth>

Answers

Answer:

62.8 feet

Step-by-step explanation:

Radius of the fencing is:

6+4 = 10 feet

Circumference = 2×pi×r

= 2×pi×10

= 20pi

= 62.83185307 feet

a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration

Answers

Answer:

The acceleration is

[tex]4.5 {ms}^{ - 2} [/tex]

Step-by-step explanation:

Use the equation of motion,

[tex]v = u + at[/tex]

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

[tex]9 = 0 + a(2)[/tex]

This means that;

[tex]9 = 2a[/tex]

Divide both sides by 2 to get:

[tex]a = \frac{9}{2} [/tex]

[tex]a = 4.5 {ms}^{ - 2} [/tex]

On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.

If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.

Answers

Answer:

[tex]x=st[/tex]

[tex]y=-5t[/tex]

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

Let

s ----> the speed in units per second

d ---> the distance in units

t ---> is the time in seconds

BUG A

we have

[tex]d=18\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{18}{3}=6\ units/sec[/tex]

If x is the point reached by A after t seconds

then

Multiply the speed by the time

[tex]x=st[/tex]

[tex]x=6t[/tex]

BUG B

we have

[tex]d=-15\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{15}{3}=5\ units/sec[/tex]

If y is the point reached by B after t seconds

then

Multiply the speed by the time

[tex]y=st[/tex]

[tex]y=-5t[/tex]  ----> is negative because B is moving in the negative direction

Answer:

x = 6t

y = 5t

Step-by-step explanation:

We know the distance formula:

D = RT

Where

D is distance

R is speed

T is time

Bug A went 18 units after 3 seconds, so the speed is:

18 = R(3)

R = 18/3

R = 6 unit/sec

Bug B went 15 units in 3 seconds, so the speed is:

15 = R(3)

R = 15/3

R = 5 units/sec

x is reached by A after 3 seconds, so

x = 6t

y is reached by B after 3 seconds, so

y = 5t

What is the length and width of the rectangle if the area is given by trinomial r squared - 2r - 15. Use factoring

Answers

Answer:

(r+3)(r-5)

Step-by-step explanation:

r^2-2r-15

(r+3)(r-5)

+3-5=-2

+3*-5=-15

Answer:

The length is r + 3 and the width  r - 5..

Step-by-step explanation:

r^2 - 2r - 15

= (r - 5)(r + 3)

The length is r + 3 and the width  r - 5

Which formula is best used to prove that a figure has congruent sides?
a) Slope formula
b)Area formula
c) Midpoint formula
d) Distance formula

Answers

Answer:

D

Step-by-step explanation:

Congruent sides mean that they have "EQUAL" lengths.

So, to prove to sides are congruent means that their lengths are equal.

Slope gives the slope of a line. So this can't be it.

Area gives the area of figure. Nothing to do with congruency of 2 lines.

Midpoint formula gives the coordinates of the midpoint. Nothing here.

Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"

Correct answer is D

PLEASE ANSWER

Which equation represents the following graph?

A. y = 2x + 3
B. y = 3x + 2
C. y = -2x + 3
D. y = -3x + 2

Answers

Answer:

A: y = 2x + 3

Step-by-step explanation:

y intercept: 3

Slope is positive

Only option A satisfies both of the above

Pamela knit a total of 28 centimeters of scarf over 2 nights. After 3 nights of knitting, how many centimeters of scarf will Pamela have knit in total? Assume the relationship is directly proportional.

Answers

Answer:

42 centimetres

Step-by-step explanation:

First, u have how many centimetres knitted over 1 night:

28/2=14So 1 night=14 cm28cm+14cm=42cm=3 nights

Find the quotient 130 ÷ –13.

A. –12

B. –9

C. –10

D. –5

Answers

Answer:

C)-10

Step-by-step explanation:

negative divided by negative is positive.

-130 / -13 =10

Answer:

Option C, -10

Step-by-step explanation:

130 / -13

13 goes into 130 ten times

-10

Answer:  Option C, -10

4. Find the correct table for the given rule:
y=x+2​

Answers

Answer:

Table B is the correct answer.

Step-by-step explanation:

icated (Q#1-4).
2. Solve by substitution; x+3y + 4)
3x - 5y = 8
3 (3x+4)
aytla

Answers

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

[tex]x + 3y = 4[/tex]

[tex]3x - 5y = 8[/tex]

Then make x the subject in the first equation to get:

[tex]x = 4 - 3y[/tex]

Put this equation into the second equation to get:

[tex]3(4 - 3y) - 5y = 8[/tex]

[tex]12 - 9y - 5y = 8[/tex]

[tex] - 9y - 5y = 8 - 12[/tex]

[tex] -14y = - 4[/tex]

[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]

This means that:

[tex]x = 4 - 3 \times \frac{2}{7} [/tex]

[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]

a rectangle has sides that measure 7 by 13 feet. If the sides are halved what is the new area?

Answers

Answer:

45.4

Step-by-step explanation:

Answer:

22.75 square feet

Step-by-step explanation:

If the length and width are halved, then:

7 ÷ 2 = 3.5

13 ÷ 2 = 6.5

A = L · W

3.5 · 6.5 = 22.75 square feet

~Hope this helps!~

29,22,22,17,33,32,27 (FIND THE MODE)

Answers

Answer:

22

Step-by-step explanation:

22 shows up twice and the rest of the numbers show up once.

Answer:22

Step-by-step explanation:

It appears most often.

What is the 12th term of the geometric sequence
-4, -12, -36

Answers

Answer:

-708,588

Step-by-step explanation:

If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.

how do you find side a to a right triangle using pythagorean theorem?

Answers

Answer:

a^2 = c^2 - b^2    

Step-by-step explanation:

With the pythagorean therom you have a^2 + b^2 = c^2

Therefore a^2 = c^2 - b^2     you get this by subtracting b^2 from both sides

Once you have all the numbers you can just get the square root of them and youll have what a is

Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.

Answers

Answer:

the number -5 is a real number

Step-by-step explanation:

real numbers are basically all numbers.... if you havent met complex numbers yet..

hopefuly this helped

:)

Answer:

the number -5 is a real number

Step-by-step explanation:

all the others are wrong.

Which answer is right?

Answers

the answer to this problem is (1,3)

can someone please solve the problem is in the picture

Answers

Answer:

Y-intercept=6

Multiplier =3

Equation y=3x+6

Step-by-step explanation:

We can find the slope of the line by

Slope=m= (y2-y1)/(x2-x1)

m=(6-3)/(0-(-1))=3

And using point slope formula of equation of straight line

Y-Y1=m(X-X1)

Taking any point on line

Y-3=3(X-(-1))

Y-3=3X+3

y=3x+6

y=3(x+2)

In the figure shown, which pair of angles must be complementary?

Answers

Answer:

s and p

Step-by-step explanation:

s and p

there is a right angle side shown

so s and p are complementary

right angle triangle =90°

so angle √sqp

Answer:

PQT & SQT

Step-by-step explanation:

PQT and SQT

Because they should add up to 90

Evaluate 1/-5ab if a=3/7 and b=5/8 write in simplest form

Answers

Answer:

-56/75

Step-by-step explanation:

1/-5ab = 1 ÷ -5ab

we substitute the value of a = 3/7 and b = 5/8 into 1 / -5ab

we have

1/ -5 × 3/7 × 5/8 = 1/ -75/56

this can be written as

1 × 56/-75 = -56/75

What is the answer to x+4=4x-17

Answers

Answer:

x=7

Step-by-step explanation:

x+4=4x-17

4=3x-17

21=3x

x=7

What is the decimal equivalent of an 11% increase

Answers

Answer:

0.11

Step-by-step explanation:

You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.

Then you would convert the fraction to a decimal: 0.11.

An easier way could also be to take the percentage and move it two decimal places to the right.

Ex: 43% moved two decimal places to the right would be 0.43.

I hope this helps!

Answer:

0.11

Step-by-step explanation:

Fifteen less than twice a number x is y

Answers

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

[tex]2x - 15 = y[/tex]

It would be 2x - 15 = y. I hope this helps :)

Can You Solve This?
6 = 2(1+2) =

Answers

Answer: 6 = 2(1+2), this is true.

Step-by-step explanation:

To solve this, 6 = 2(1 +2) =

This question is to proove that 2(1 +2) = 6

First we open the bracket:

(2 × 1) + (2 × 2)

Multiply 2 by 1 = 2

Multiply 2 by 2 = 4

2 + 4 = 6

I hope this helps.

Answer: hope this helps

6=2x3

6=6

A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts

Answers

Answer:

3 yards,5.25 yard,6.75 yards

Step-by-step explanation:

Given,

Each skirt required 3/4 yards fabric

Solution,

1 skirt required fabric =3/4 yards

4 skirts required fabric=4×3/4 yards=3 yards

7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards

9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards

Final answer:

To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.

Explanation:

To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.

So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:

4 x 3/4 = 12/4 = 3 yards.

To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:

7 x 3/4 = 21/4 = 5.25 yards.

To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:

9 x 3/4 = 27/4 = 6.75 yards.

Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?

Answers

Answer: 8.08

Step-by-step explanation:

Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.

Consider the two functions described below. Function 1 describes the cost, y, to park in a parking lot for x hours. There is a flat fee of $7.00 and $1.00 charge per hour. Function 2 is represented in the graph below. It shows the cost, y, to park in a parking garage, for x hours. Which statement correctly explains whether the parking lot or parking garage charges a higher rate per hour to park?


A. The parking lot charges a higher rate per hour because when you compare the rates, 7 4.


B. The parking garage charges a higher rate per hour because when you compare the rates, 2 1.


C. The parking lot charges a higher rate per hour because when you compare the rates, 7 2.


D. The parking garage charges a higher rate per hour because when you compare the rates, 4 1.

Answers

Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.

Step-by-step explanation:

Step 1:

For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.

So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,

If parked for two hours charges are 7 + 1 (2) = $9.

Step 2;

To understand the pricing of the parking garage, we must plot the points of the graph.

The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...

So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.

So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,

If parked for two hours charges are 4 + 2 (2) = $8.

Step 3:

Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.

Statement B and D are the same.

Answer:

B

Step-by-step explanation:

What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation

Answers

:

xfjgrtjsrjdtyj

erhergqerg3ergtaegqe

Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4

Answers

Answer:

k = -7/9

Step-by-step explanation:

9k + 3 = -4

9k = -7

k = -7/9

On the number line just make a closed circle at -7/9. No line would be drawn, just the dot

-7/9 would be between 0 and -1, closer to -1

Answer:

k = -7/9

Step-by-step explanation:

If the equation is, 9k + 3 = -4, then;

9k =-4-3,

9k =-7,

k=-7/9

and on a number line just show a point with value -7/9, there is no inequality here

Find the values of the variables and the measures of the angles

Answers

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

[tex]3x + 4x - 1 + 90 = 180.[/tex]

[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]

So x = 13°. The angles are

[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

3x + 4x - 1 = 90⁰

7x = 91

x = 13

Angles are = 39 , 51⁰

Please help!! Will give Brainliest

Answers

Answer:

86 square inches

86 in^2

Step-by-step explanation:

Base: 3 × 10 = 30

Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)

Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)

Add: 30 + 50 + 6 = 86

The answer is 86inches squared
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