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ELEN [110]
3 years ago
15

Varies inversely as If x = 6 then y = 8. Find y when x = 4 . Y=

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

32

x

2

2

∣

∣

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

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The length of a parasite in experiment A is 2.5 × 10–3 inch. The length of a parasite in experiment B is 1.25 × 10–4 inch. How m
torisob [31]

We have been given that :-

The length of a parasite in experiment A is 2.5 \times 10^{-3}

The length of a parasite in experiment B is 1.25 \times 10^{-4}

Let us write the the  length of the parasite in experiment A in the exponent of -3.

1.25 \times 10^{-4}= 0.125 \times 10^{-3}

Clearly, the length of parasite in experiment A is greater than the length of parasite in experiment B.

The difference in the length is given by

2.5 \times 10^{-3} -0.125 \times 10^{-4}

=2.375 \times 10^{-3}

Therefore, the length of the parasite in experiment A is =2.375 \times 10^{-3} inches  greater than the length of the parasite in experiment B.

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3 years ago
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Find the length of the arc<br> A.8 pie ft<br> B.32 pie ft<br> C.64 pie ft<br> D. 361 pie/ 12 ft
ExtremeBDS [4]
<h3>Answer: Choice A. 8pi  feet</h3>

======================================================

Explanation:

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The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

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vesna_86 [32]

Answer: 1st one

Step-by-step explanation:

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The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions
VMariaS [17]

20’ / 5’ = 4

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Answer:

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Step-by-step explanation:

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