A cube with side length zzz has a volume of 216216216 cubic centimeters. The following equation shows the volume of the cube.
z^3 = 216z
3
=216z, cubed, equals, 216
What is the side length of the cube in centimeters?

Answers

Answer 1

Using the formula for volume of cube and with the provided volume and side, the answer is 6cm.

What is a cube?

A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex.

What is the formula for volume of cube?

We get the volume of a cube by thrice multiplying the side length.

Suppose we have a side length of cube = l cm

The required formula is for volume is:

[tex]V = l ^ {3}[/tex]

As per question, the side length of cube = z

l=z

V = z³

V=216 ³

[tex]l=\sqrt[3]{216}[/tex]

[tex]l=6cm[/tex]

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Related Questions

3x+8 = x-6
x=?
pls help

Answers

Answer:

x = -7

Step-by-step explanation:

3x+8 = x-6

x=?

3x + 8 = x - 6

2x = -14

x = -7

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

check

3 × (-7) + 8 = -7 - 6

-21 + 8 = -13

-13 = -13

the answer is good

you have 345321 dogs, 928822 pigs,and 1873652 cats. how many dogs do you have

Answers

Answer:345321

Step-by-step explanation:

you said it?

URGENT! Complete the proof that m
Images below. Match the answers/statements to the number options above..

Put the reasons for lines 1 through 6 in order below.

Answers

The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

How to carry out the two column proof?

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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4) Ellie drives 169 miles from Sheffield to London,
She drives at an average speed of 65 miles per hour.
She leaves Sheffield at 6:30 am.
Does she arrive in London before 9:00 am?
You must show your working.

Answers

Answer: no

Step-by-step explanation: because 65x3=165 then it will be 9:30 already so she will be late by 30 minutes


What is the solution to the system of equations?
2x+6y=-28
x + 3y = -14

Answers

Because when two linear equations graph this very same line, a system of two linear simultaneous equations variables cannot be solved.

What in mathematics is a linear equation?

A linear equation seems to be an algebraic equation of something like the form y=mx+b, where m is the slope as well as b is the y-intercept, and only a constant and an initial-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Briefing:

2x+6y=-28       (i)

x + 3y = -14      (ii)

Subtract 3y from both sides of the equation(ii)

[tex]\begin{matrix}&x=-14-3y\\&2x+6y=-28\\\end{matrix}[/tex]

Replace all occurrences of x with -14-3y in each equation.

Replace all occurrences of x in 2x+6y=-28 with -14-3y.

[tex]\begin{matrix}&2(-14-3y)+6y=-28\\&x=-14-3y\\\end{matrix}[/tex]

Simplify the left side.

Simplify 2(-14-3y)+6y.

[tex]\begin{matrix}&\ -28=-28\\&x=-14-3y\\\end{matrix}[/tex]

Remove any equations from the system that are always true.

[tex]x=-14-3 y[/tex]

there is no solution for the given equation.

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round 163 to the nearest 10? round it to the nearest ten it would be 160 i think because 163 is close to 160 so it has to 160

Answers

Answer:

163 rounded to the nearest ten = 160.

Step-by-step explanation:

yes since 163 is not 165 or greater its 160 but if it the number was greater than 165 than it would be 170. in this case its not so the answer would be 160.

Mr. Johnson wants to use the interest from his High Savings Account to buy his next TV. The TV will cost $900. He would like his investment to grow over for two and a half years. If he has a rate of 3.5%, how much will he need to invest in order to cover the cost of the TV?

Answers

now, we're assuming the rate of 3.5% is for a simple interest account, so

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$900\\ P=\textit{original amount deposited}\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &2.5 \end{cases} \\\\\\ 900=P[1+(0.035)(2.5)] \implies 900=P(1.0875) \\\\\\ \cfrac{900}{1.0875}=P\implies 827.59\approx P[/tex]

And also this one please very important please

Answers

Answer:

B. x = 5 +i√5  and    x = 5 - i√5

Step-by-step explanation:

LMNO is a parallelogram. If NM =x+5 and OL =2x+3 then find the value of x

Answers

If LMNO is a parallelogram then NM=7=OL and the value of X is 7 unit

What is a Parallelogram?

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.

As it is a parallelogram so, the opposite sides of the parallelogram are equal so NM=OL and ON=LM ,

according to the question ;-

NM = x+5

OL=2x+3

and NM=OL

x+5=2x+3

x=2

So, NM= 7

OL=7

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the triangle has a perimeter of 65 feet. what system of equation to use for the perimeter equals 65 feet? l= 1/3m, m, and n=l+m-15

Answers

Answer:

l =  10 feet

m = 30 feet

n = 25 feet

Total Perimeter = 65 feet

Step-by-step explanation:

The perimeter of a trianlge is the sum of its three sides, and in this case is equal to 65 feet.

65 feet = l + m + n

l + m + n = 65

We also know that:

 l = (1/3)m, and

n = l+m-15

Substitute these definitions of l and n into the original equation:

l + m + n = 65

[(1/3)m] + m + [l+m-15] = 65

[(1/3)m] + m + [[(1/3)m]+m-15] = 65

Simplify:

(1/3)m + m + (1/3)m + m - 15 = 65

2m + (2/3)m = 80

(6/3)m + (2/3)m = 80

(8/3)m = 80

m = 80*(3/8)

m = (10)*(3)

m = 30 feet

Since l = (1/3)m, l = 10 feet

Since n = l+m-15, n = 10 + 30 - 15, or 25 feet

The three sides are

      l:    10 feet

     m:  30 feet

     n:   25 feet

Total = 65 feet

determine the measure of each missing angle in the triangle! HELPPP PLEASSEEEE!!!

Answers

all triangles all add up to 180 degrees. because this is and isosceles triangle, the missing bottom angles equal the same. in short, subtract 180 by 40 then divide by 2 to find what both missing angles are(answer should be 70).

due now pls help!!!!!!!!!!!!

Answers

Pythagorean Theorem  we get x is 8.

What is the Pythagorean theorem ?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2[/tex], are equal to the squares on the legs.To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula [tex]c^2 = a^2 + b^2[/tex], where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.

given :

Hypotenuse = 10

base = 6

unknown leg x  = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8

x =8 .

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If x + y = 7 and x - y = 9, find the product of x and y.

Answers

Answer:

x=8

y=-1

Step-by-step explanation:

If sin 0 = 7/25, use the Pythagorean Identity to find cos 0.

Answers

Answer:

cosФ = [tex]\frac{17}{25}[/tex]

Step-by-step explanation:

the sin and cos are the same and for tan it's flipped.

Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A(-8,-2) and B (6,19)

Answers

The coordinates of the point P that is 2/5 of the way from A to B are:

P = (-5.6, 11,2)

How to find point P?

If we want to find a point that is 2/5 of the way between two points (x₁, y₁) and (x₂, y₂), then we need to use the formula:

( (3/5)x₁ + (2/5)x₂,  (3/5)y₁ + (2/5)y₂)

Here the two points are (-8, -2) and (6, 19), using the above formula we will get the point P:

P = ( (3/5)*-8 + (2/5)*-2,  (3/5)*6 + (2/5)*19)

P = (-5.6, 11,2)

These are the coordinates of the point P.

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pls help ASAP! thank you in advance :)​

Answers

The features of each function shown on Cartesian plane:

Function 1: Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3, y = - 2 · x + 7

Function 2: Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2, y = (5 / 9) · x² - 2

How to determine the domain and range of a function

In this question we must the determine the domain and the range of each of two functions. The set of elements for the domain corresponds to the horizontal axis of the Cartesian plane, represented by variable x, while the vertical axis corresponds to the vertical axis of that plane, represented by variable y.

Now we proceed to determine the domain and the range of each function:

Function 1

Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3

The definition of the function is:

3 = 2 · m + b

2 = 2.5 · m + b

(m, b) = (- 2, 7)

y = - 2 · x + 7

Function 2

Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2

The definition of the function is:

y + 2 = C · x²

3 + 2 = C · 3²

5 = 9 · C

C = 5 / 9

y + 2 = (5 / 9) · x²

y = (5 / 9) · x² - 2

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suppose that10% of people are left handed. if7people are selected at random, what is the probability thatexactly 2 of them are left handed?

Answers

Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

what is percentage ?

10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.

As a result:

10% of people identify as left-handed.

P(left-handed) = 0.1 is the probability of success.

Selection number (n) equals six

The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)

P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)

= 0.098415

Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

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given that 2p x 8q = 2n , express n in terms of p and q

Answers

Answer:

n = p+3q

Step-by-step explanation:

2^p x 8^q = 2^n

Exponent rules

Rewriting 8 as 2^3

2^p x 2^3^q = 2^n

Using the rule a^b^c = a^(b*c)

2^p x 2^3q = 2^n

Using the rule a^b * a^c = a^(b+c)

2 ^(p+3q) = 2^n

Since the bases are the same, the exponents are the same

p+3q = n

Answer:

[tex] \sf \: p + 3q = n[/tex]

Step-by-step explanation:

[tex]2^p*8^q=2^n[/tex]

First, write 8^q as a power of 2.

[tex]2^p*8^q=2^n\\2^p*2^3^q=2^n[/tex]

As all the bases are same, exponents are also equal.

Now add the powers.

∴ p + 3q = n

In the order of operations, the absolute value sign is considered to be at which level?

Answers

Answer:

Note that with embedded parentheses (parentheses within parenthesis), you always perform operations inside out; do the math on the inside before the outside. Note that if you have an absolute value | | sign which means take the positive value only of a number inside.

Answer: Absolute Value is the first level.

Step-by-step explanation:

2 |-10|

2 * 10

20

Adriyana is making a kite. Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA.


Find the measure of DC

Answers

If a Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA than the side DC can be measures as CD=38-AB-BC if AB and BC are given.

What is a triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

What is a formula of perimeter of triangle?

In the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then, Perimeter, P = a + b +c

As the perimeter of a triangle ABC is

Perimeter=AB+BC+CA

And we are given with only the perimeter of triangle;

P=38m

Now;

As given condition is;

AB=BD, AC=CD So;

38=AB+BC+CD

And

CD=38-AB-BC

If then length of the sides of AB and BC are provided we can calculate the value of CD

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please help
its just 7th grade math Im bad at math

Answers

Answer:

B

Step-by-step explanation:

since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.

hope this helps!!! :3

Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652

Answers

Van Dressler's total sales amount is $12,166.6666667

What is sales amount ?

A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.

3% = $365

365/3*100 =$12,166.6666667

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5% of what number is 9?​

Answers

Answer:

180

Explanation:

5% of x = 9

9 × 100 = 900

900 ÷ 5 = 180

So,

5% of 180 = 9

5Answer:

45

Step-by-step explanation:

9x0.5=4.5

Which system of inequality is represented on the graph?

Answers

By solving linear inequation, it can be calculated that

The system of linear inequation represented by the graph is

x - y ≥ -8

3x + y ≥ -8

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤

A one degree inequation is known as linear inequation.

Here,

One line passes through (0, 8) and (-1, 7)

Slope of the line = [tex]\frac{7-8}{-1-0}[/tex] = 1

Equation of line

y - 8 = 1(x - 0)

y - 8 = x

x - y = -8

Other line passes through (-4, 4) and (-3, 1)

Slope of the line = [tex]\frac{1-4}{-3-(-4)}[/tex] = -3

Equation of line

y - 4 = -3(x - (-4))

y - 4  = -3x - 12

3x + y = 4 - 12

3x + y = -8

Now the lines are solid lines

So equality is maintained

(0, 0) is inside the shaded region

So the system of linear inequation represented by the graph is

x - y ≥ -8

3x + y ≥ -8

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If ur good at geometry can u help Solve for m given that the perimeter of the triangle is 19 centimeters.

Answers

Answer:

m = 7

Step-by-step explanation:

6 + 6 + 7 = 19.

You're welcome.

A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which​ component?.

Answers

This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.

What are the different components in sales?

Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:

Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.

Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.

Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.

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PLEASE HELP ASAP!!!!

Answers

Answer:

Lie #3

b^6 is not b^8

Step-by-step explanation:

All the problems use the quotient rule of exponents, which says that you subtract the exponents when dividing by the same base.

If we plug in 2 for x on #3, we have

[tex]\frac{b^8}{b^2}=b^(^8^-^2^)=b^6\\ b^6\neq b^8[/tex]

Furthermore, x would need to be 0 to make #3 true since 8-0 = 8

3. Beth finished 40% of her weekly biking workout. She has traveled 24 miles. How long is her
workout for the entire week?

Answers

Answer:

I think you times both numbers

Step-by-step explanation:

time both number s

Evaluate 10.2x + 9.4y when x = and y = 3

Answers

The expression 10.2x + 9.4y when x = and y = 3 is 38. 4

What is an algebraic expression?

An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.

These algebraic expressions are also made up of mathematical operations such as;

DivisionAdditionSubtractionParenthesesMultiplicationBracket. etc

From the information given, we have the algebraic expression;

10.2x + 9.4y

Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;

10.2(1) + 9.4(3)

expand the bracket

10. 2 + 28. 2

Add the values

38.4

Hence, the value is 38.4

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Solve each system by elimination: 3x-2y=19 5x+4y=17

Answers

Answer: x= 5  y= -2

Step-by-step explanation: Time 2 to eliminate the y

6x - 4y = 38

5x + 4y =17

11x = 55

x= 5

Then put 5 in for the x, and you will get,  y = -2

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