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3 years ago

The graph below represents a function.

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer:

Step-by-step explanation:

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Dividing mixed numbers

Mars2501 [29]

$\frac{9}{14}$

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3 years ago

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Sara hired her brother James to help her sell

Natasha_Volkova [10]

Answer:

3 Lemonade

Step-by-step explanation:

We add $1.00 with $0.10, then we get $1.10

We then divide $1.10 to the amount Sara paid

$3.60/1.10, we will get the answer 3

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3 years ago

) 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

Alternate exterior angles

exis [7]

Answer:

$When \: two \: lines \: are \: crossed \: by \: another \: line \: (called \: the \: Transversal \: ): \: Alternate \: Interior \: Angles \: are \: a \: pair \: of \: angles \: on \: the \: inner \: side \: of \: each \: of \: those \\ \\ \\ \\ \\ two \: lines \: but \: on \: opposite \: sides \: of \: the \: transversal.$

hope it helps if it helps don'tforget to like and mark

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3 years ago

HELP ME. LOOK AT PICTURE

KATRIN_1 [288]

It would be in the top left corner

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3 years ago

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