Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer 1
Answer:

Answer:

13/18

Step-by-step explanation:

See attachment


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WITH GRAPHWhat is the y-intercept of this line? A. (-2,0) B. (0,-2) C. (0,1) D. (1,0)

Which of the following statements is true for ∠a and ∠b in the diagram?

Answers

Step-by-step explanation:

a and b are corresponding angles

Max has been offered positions by two car companies. The first company pays a salary of $7,500 pluscommission of $1000 for each car sold. The second company pays a salary of $17,500 plus a commission of
$500 per car sold. How many cars would need to be sold to make the total pay the same?

Answers

The number of cars would need to be sold to make the total pay the same is 20.

Given that, the first company pays a salary of $7,500 plus commission of $1000 for each car sold.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of cars be x.

The first company pays = 7500+1000x

The second company pays = 17500+500x

So, 7500+1000x=17500+500x

⇒ 1000x-500x=17500-7500

⇒ 500x=10000

⇒ x=10000/500

⇒ x=20

Therefore, the number of cars would need to be sold to make the total pay the same is 20.

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Answer:

11 for the first company and 2 for the second company

A coin is flipped until 3 heads in succession occur. list only those elements of the sample space that require 6 or less tosses. is this a discrete sample space? explain

Answers

we are given

A coin is flipped until 3 heads in succession occur

so, firstly, we will find sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

now, we are given that

list only those elements of the sample space that require 6 or less tosses

so, we can see that sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

There are infinite such possibilities

so, there are infinite number of elements in space

and we know that

discrete sample space will always have finite elements

but we have infinite number of sample space elements here

so, this is not discrete sample space...........Answer

The sample space of flipping a coin until getting 3 heads in a row, and listing the elements that require 6 or fewer tosses.

In this case, we are looking at the sample space of flipping a coin until we get 3 heads in a row. To list the elements of the sample space that require 6 or fewer tosses, we need to consider the possible outcomes:

  • 1 toss: H (head) or T (tail)
  • 2 tosses: HH, HT, or TT
  • 3 tosses: HHH, HHT, HTH, HTT, THH, THT, TTH, or TTT
  • 4 tosses: HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, or TTTT
  • 5 tosses: Same pattern as the 4 tosses with an additional H or T at the end
  • 6 tosses: Same pattern as the 5 tosses with an additional H or T at the end

Yes, this is a discrete sample space because each toss of the coin has a finite number of possible outcomes (H or T).

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The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume of the larger cylinder.

Answers

Answer:

volume = 1809 cm³

Step-by-step explanation:

The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:

If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.

ratio of height = 1/3

ratio of volume = (1/3)³ = 1/27

volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x

where

x = volume of the larger cylinder

x = 27 × 67

x = 1809  cm³

volume = 1809 cm³

NEED HELP ASAP OR I WILL FAIL

Answers

Answer: 1.24 is the answer

Is -51/5 rational or irational

Answers

Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

its written as a ratio of two integers, so its a rational number.