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4 years ago

Y=3/8x The constant of proportionality is

Mathematics

2 answers:

Zanzabum4 years ago

5 0

The constant of proportionality is 3/8

jarptica [38.1K]4 years ago

5 0

Answer:

That would be 3/8

Step-by-step explanation:

Its the coefficient of x

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For the following inequality, indicate whether the boundary line should be dashed or solid. x + y < 2

Pachacha [2.7K]

Answer:

Its going to be solid...

Step-by-step explanation:

If the < then sign had a line underneath it then it is dashed but if it does not then its solid!..I love u

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4 years ago

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What is 0.429 as a fraction

Dmitrij [34]

As a fraction it would be 429/1000

3 0

3 years ago

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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

astraxan [27]

Answer:

The Point in the first quadrant is $(\sqrt[2]{2.0268} ,6.559)$ .

Step-by-step explanation:

Since

we know the general equation of the circle whose center is at (h,k) and radius is r that is

$(x-h)^2+(y-k)^2 =r^2$

we have given center is (0,3) and radius is r= 4

substituting in the general equation of the circle we get

$x^2 +(y-3)^2 = 16$

Now substituting the y= 2.5x + 3 in the above equation we get

$x^2 +(2.5x + 3-3)^2 = 4^2$

$x^2 +6.25x^2 = 16$

here subtracting 16 from both sides and also perform addition

we get

$7.25x^2 = 16$

dividing both sides by 7.25 we get

$x^2 =2.2068$

taking square root both sides we get

$x= \frac{+}{-}\sqrt[2]{2.0268}$

but we need positive value of x because both x and y are positive in the first quadrant

that is

$x= \sqrt[2]{2.0268}$

substituting this into the given equation of the line we get

y = 2.5( $\sqrt[2]{2.0268}$ )+3

y = 6.559

so the point in the first quadrant is ( $\sqrt[2]{2.0268}$ ,6.559)

that is required

6 0

4 years ago

Read 2 more answers

⁵

s2008m [1.1K]

9514 1404 393

Answer:

Step-by-step explanation:

The rule gives the sequence ...

75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

<em>Alternate solution</em>

The equation for the general term of an arithmetic sequence is ...

an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

an = 75 -6(n -1)

Then for n=5, the term is ...

a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

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3 years ago

A company is offering a job with a salary of $48,000 for the first year, then a raise of 2% each year after that. Write a formul

Romashka-Z-Leto [24]

Answer:

a.48,000+2=48,002 b.30×2=60% +2=62%+48,0000=48,062

3 0

4 years ago