Find an equation equivalent to 2x 3y = 6 in polar coordinates.

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

Answer:

  $18.99

Step-by-step explanation:

The total cost is the base cost plus that of the added toppings.

  total cost = base cost + (number of toppings) × (topping cost)

  total cost = $13.99 + 4 × $1.25 = $18.99

Their pizza costs $18.99.

Answer:

11,880.

Step-by-step explanation:

This is given by the number of permutations of 4 from 12

= 12P4

= 12!/(12-4)!

= 12!/8!

=  (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)

= 12^11*10*9

= 11,880.

Answer:

See below ~

Step-by-step explanation:

Finding the proportionality constant, k :

Table :

[tex]\left[\begin{array}{ccc}0.5&3\\1.5&9\\4.5&27\end{array}\right][/tex]

Answer:

23

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 8

15 + 8

= 23

Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

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The amount of sheet metal needed to form the conical funnel is 5525 cm²

The given parameters are:

Start by calculating the slant height (l) of the cone using:

l = √(r² + h²)

This gives

l = √(30² + 50²)

Evaluate

l = 58.31

The lateral surface area of the conical funnel including the overlap is then calculated as:

A = πrl + Overlap * l

This gives

A = 3.142 * 30 * 58.31 + 0.5 * 58.31

Evaluate

A = 5525.4556

Approximate

A = 5525

Hence. the amount of sheet metal needed is 5525 cm²

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Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

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opposite sides and diagonals of a parallelogram are equal

+ diagonals of a parallelogram meet eachother in the middle so:

10x+14=x+77

10x-x=77-14

9x=63

x=63÷9

x= 7

y+8=4y-19

y-4y=-19-8

-3y=-27

y=-27÷-3

y=9

2z+3=37

2z=37-3

2z=34

z=34÷2

z=17

Answer:

5[tex]\pi[/tex]/12 rad

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

75(π/180) = 5π/12 radians

arc length = central angle (2πr)

360

measure of the inscribed angle = 75º

measure of the central angle = 150º

arc length = 150 (2π1000)

360

arc length = (5/12)

Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

Answer:  $27.5

Step-by-step explanation:

10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.

Using sampling concepts, it is found that the correct statement is given by:

c. the sample is 85 people. the population is 2,534 people.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.

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Answer:

36

Step-by-step explanation:

4 x 9 = 36

36 / 4 = 9

Therefore, 36 is 4 times as much as 9.

[tex]{\sf Hello!}[/tex]

The answer is 36

⇢ 4 × 9 = 36

Answer:

[tex]x=-\frac{9}{4}[/tex]

Step-by-step explanation:

Step 1:  Subtract 21 from both sides

[tex]8x + 21 = 3[/tex]

[tex]8x + 21 - 21 = 3 - 21[/tex]

[tex]8x = -18[/tex]

Step 2:  Divide 8 from both sides

[tex]8x = -18[/tex]

[tex]\frac{8x}{8}=-\frac{18}{8}[/tex]

[tex]x=-\frac{9}{4}[/tex]

Answer:  [tex]x=-\frac{9}{4}[/tex]

hope this helps :)

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

Answer:

answer: 336!!

Step-by-step explanation:

have a good day!

Answer:

I did the work and uploaded the picture i hope it helped!!

Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

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

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

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

Answer:

maximum

Step-by-step explanation:

Concepts

The vertex of a graph represents the turning point in a parabola.

Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.

Application

We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.

[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]