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2 years ago

Choose the step in which the first error occurs. Then evaluate the expression to find the correct answer.

Mathematics

1 answer:

Umnica [9.8K]2 years ago

8 0

Answer:

The first error occurs in Step 3

The value of the equation is -69

Step-by-step explanation:

The error is that 3-0+(-72) is actually supposed to be 3-0-72 because once you multiply the positive 36 and the negative 2, the equation automatically becomes negative.

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

The area of a triangle is 41 yd^2, with a base of 5 yards. What is the height, in yards?

Annette [7]

Answer:

I am pretty sure the answer would be A.

8 0

3 years ago

What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?

WINSTONCH [101]

Given:

The polynomials are:

$3x^2y^2-2xy^5$

$-3x^2y^2+3x^2y^2+3x^4y$

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

$3x^2y^2-2xy^5$

$-3x^2y^2+3x^2y^2+3x^4y$

The sum of given polynomials is:

$Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y$

$Sum=-2xy^5+3x^4y+3x^2y^2$

Therefore, the sum of the given polynomials is $-2xy^5+3x^4y+3x^2y^2$ . It is a polynomial with degree 6 and leading coefficient -2.

5 0

2 years ago

If a bus driver get paid $20,000 a year and he works 35 weeks a year how many weeks will it take for him to earn $2000

alexgriva [62]

Answer:

3.5?

Step-by-step explanation:

2,000 is 10% of 20,000

3.5 is 10% of 35

7 0

3 years ago

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Which literal equation is not equivalent to x equals two y plus z ?

abruzzese [7]

Answer:

x minus z equals two times y

Step-by-step explanation:

x minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times y

4 0

3 years ago

Read 2 more answers