find the smallest value of k, such that 693k is a perfect cube.

Answer:

4 2/3

Step-by-step explanation:

8/3 = 2 1/3

2 1/3 x 2 = 4 2/3

Answer:

Step-by-step explanation:

Given sides of the triangle:

We know that the perimeter of a triangle is the sum of all the sides of a triangle.

Perimeter of the triangle,

= 3x^2 + 8 + 2x^2 + x + x - 3

= 3x^2 + 2x^2 + x + x + 8 - 3

= 5x^2 + 2x + 5

Therefore, the perimeter of the triangle is 5x^2 + 2x + 5. Hence, the option A is the correct answer.

Answer:

A____N____C

AN= NC

4x-7=5x-15

5x-4x= 15-7

x= 8

NC = 5x-15=5(8) – 15 = 40 – 15 = 25

I hope I helped you^_^

Answer:

-1/3 Is the coeff because y is multiplied by it

Answer:

$42.30

Step-by-step explanation:

.... ... . ....... ....

Answer:

base angles each measure 68 degrees

third angle measures 34 degrees

Step-by-step explanation:

let '2x' = measure of each base angle

let 'x' = measure of third angle

the sum of all three must equal 180 degrees so you can write this equation:

2x + 2x + x = 180

combine 'like terms' to get:

5x = 180

divide each side by 5 to get:

x = 34

therefore, twice 'x' is 68

check:

68 + 68 + 34 = 180

180 = 180

Answer:

6

(4×n²) + (4×n¹) + (5×n^0) = 173

4n² + 4n + 5 = 173

4n² + 4n = 168

divide through by 4

n² + n - 42 = 0

n² + 7n - 6n - 42= 0

(n + 7)(n - 6) = 0

n = -7 or 6

but the solution is 6 since base is not negative.

Answer:

Do you have an image?

Step-by-step explanation:

Answer:

do u have the info? :0

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

If we're reflecting across the y-axis, then the the y value of the point will remain the same.  The only option that displays this is option 4.

Ah, the power of multiple choice elimination.

2(x - 4) + 2(x - 3) =

= 2x - 8 + 2x - 6 =

= 2x + 2x - 8 - 6 = 4x - 14 ← the end

The probability that a randomly selected bow tie is made of velvet gave that the bow tie is designed with swirls is 1/3

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given this, John keeps track of how many bow ties he has and organizes them by pattern and material.

               Velvet         Cotton

Zigzags      6                  3

Swirls         3                  3

There are a total of 9 bow ties with swirls, out of which 3 are made of velvet. So the probability of selecting a bow tie made of velvet, given that it has swirls, is:

P(Velvet | Swirls) = P(Velvet and Swirls) / P(Swirls)

P(Velvet and Swirls) is the number of bow ties that have both velvet and swirls, which is 3.

P(Swirls) is the total number of bow ties that have swirls,

which is 6 + 3 = 9.

So,

P(Velvet | Swirls) = 3/9 = 1/3

Therefore, the probability that a randomly selected bow tie is made of velvet gave that the bow tie is designed with swirls is 1/3 or approximately 0.33

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Answer:

kg = 1,000 grams

[2.5 x 10^3] x   1,000 =2.5 x 10^6 grams of air.

[2,5 x 10^6] / 1.8 =~ 1,388,889 Liters of air in 2.5 x 10^3 kg.

Step-by-step explanation:

There are 1.39 x 10⁶  liters of air contained in 2.5 x 10³ kg of air.

Given that  1 liter of air is 1.80 grams.

2.5 x 10³ kg = 2.5 x 10³ × 1000 grams (since 1 kg = 1000 grams)

Calculating the mass in grams:

2.5 x 10³ × 1000 grams = 2.5 x 10⁶ grams

Now, to find the number of liters of air, we divide the mass (in grams) by the mass of 1 liter of air:

Number of liters = Mass / Mass per liter

Number of liters = 2.5 x 10⁶ grams / 1.80 grams per liter

= 1.39 x 10⁶ liters

Therefore, there are approximately 1.39 x 10⁶  liters of air contained in 2.5 x 10³ kg of air.

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Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A - B) = \cos A\cos B + \sin A \sin B[/tex]

Part 5.2.1

Note that:

[tex]\displaystyle \cos ( A + B) = \cos (A - (-B))[/tex]

Then from the given identity:

[tex]\displaystyle \cos(A - (-B)) = \cos A \cos( -B) + \sin A \sin (-B)[/tex]

Cosine is an even function and sine is an odd function. That is:

[tex]\displaystyle \cos(- \theta) = \cos \theta \text{ and } \sin (-\theta) = -\sin\theta[/tex]

Hence:

[tex]\displaystyle \cos(A + B) = \cos A \cos B - \sin A \sin B[/tex]

Part 5.2.2

We want to verify that:

[tex]\displaystyle \cos^2 (A - B) = 4\cos^2 B \sin^2 B[/tex]

From the identity:

[tex]\displaystyle \cos (A - B) = \cos A \cos B + \sin A \sin B[/tex]

Since A + B = 90°, A = 90° - B. Hence:

[tex]\displaystyle \cos (A - B) = \cos (90^\circ - B) \cos B + \sin (90^\circ - B) \sin B[/tex]

Sine and cosine are co-functions. That is:

[tex]\displaystyle \sin \theta = \cos (90^\circ - \theta) \text{ and } \cos\theta = \sin(90^\circ - \theta)[/tex]

Hence:

[tex]\displaystyle \cos (A - B) = \sin B\cos B + \sin B \cos B = 2\sin B \cos B[/tex]

And by squaring both sides:

[tex]\displaystyle \cos ^2 (A - B) = 4\sin^2 B\cos^2 B[/tex]

Answer:

the slope of graph 1 is 4 minutes

Answer:

X=4

Step-by-step explanation:

Given mean =8,

Total number given including X is 5

5×8= 40

40-(Given number)

40-6-7-13-10=4

x=4 Is the final answer

Answer:

3/8

Step-by-step explanation:

Answer:

We draw the circles on a coordinate system.  We know that a circle is has points that are equidistant from its centerpoint.   So the point where these circles are tangent is the midpoint between the centerpoints.

 We can use the midpoint formula.

 M = ((x1 + x2) / 2    ,      (y1 + y2) / 2)

 M = ((-2 + 6) / 2     ,    (3 + 9) / 2)

 M = (2, 6)

 These circles will have the same radii.

 If we take the distance between the midpoint and (-2,3), we will have the radius of the circle with this centerpoint.

If we take the distance between the midpoint and (6,9), we will have the radius of the circle with this centerpoint.

Step-by-step explanation:

Answer:

The formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product of length and width, that is, "A = l × w".

The side length of each square will be √41 units. And the length and width of the rectangle will be 2√41 units and √41 units, respectively.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Then the area of the rectangle will be

Area of the rectangle = L×W square units

The length of a rectangle is twice the width.

L = 2W

The area of the rectangle is 82 square units. Then we have

82 = 2W × W

41 = W²

W = √41 units

The side length of each square will be √41 units.

Then the length of the rectangle will be

L = 2√41 units

The length and width of the rectangle will be 2√41 units and √41 units, respectively.

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Answer:

m = 68 - c

Step-by-step explanation:

It is given that Tegan needs to make 68 more snow blocks to finish building an igloo.

Let m be the number of blocks Tegan still needs to make and c be the number of completed blocks.

If total number of required block is 68 and c blocks are completed then the remaining blocks is the difference between 68 and c.

Number of blocks Tegan still needs to make = 68 - c

We know that c represent the number of blocks Tegan still needs to make.

m = 68 - c

Therefore, the required equation is m = 68 - c.

Answer:

k = 3.4

Step-by-step explanation:

4k = 13.6

Divide each side by 4

4k/4 = 13.6/4

k = 3.4

The amount of money to be deducted from the vehicle's SunPass account is $2.65

To obtain the total toll fee charged; we take the product of the toll fee at the Orlando (1 - 4) mile post and the Number of times the car passes through the toll post.

The discounted toll fee at Orlando(1 - 4) mile post is $0.53

Number of times vehicle passes = 5

Hence, The total fee charged will be :

($0.53 × 5) = $2.65

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Answer:

Step-by-step explanat15 - 4: 1/4 + 2 =

15 - 4 × 4 + 2 =

15 - 16 + 2 =

-1 + 2 =

1ion:

The value of the given expression will be 1.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, 15–4 Divided 1/4 + 2 =

Converting the statement into n mathematical expression, we get

15-4÷1/4+2

= 15-4×4+2

= 15-16+2

= -1+2

= 1

Hence, The value of the given expression will be 1.

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Answer:

7 - 51

Step-by-step explanation:

additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4 

Answer:

the first product is negative. hope this helps

Step-by-step explanation:

- Zombie

x-5y cannot be further simplified unless x and/or y is unknown.

In the case that you know what x is then you can isolate and solve for y, if you know what y is, then it is the other way around.

If you know both of the variables values, then you can simply just replace the variables and solve.

Answer:

more information on how much of that they have been doing a

The measure of x is 30 and the measure of DE is 60.

Find x:

x = 180 - 90 - 60 = 30

Find DE:

DE = 2x = 2 * 30 = 60

Therefore, the measure of x is 30 and the measure of DE is 60.

Here are the steps in detail:

Identify the angles in the diagram.

Find the measure of x using the fact that the angles in a triangle add up to 180 degrees.

Find the measure of DE using the fact that DE is twice the measure of x.

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