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3 years ago

If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(6).

Mathematics

1 answer:

sdas [7]3 years ago

8 0

F(x)=kx
96=k(4)
k=24

f(x)=kx
f(6)=24(6)
f(6)=144

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cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

The correct question is

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

$169=(y+7)^{2}+y^{2}$

solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

5 0

3 years ago

What property is this ? a + (b + c) = (a + b) + c

aev [14]

Associative property

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3 years ago

Read 2 more answers

Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.9

Debora [2.8K]

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then α = 5 % and α/2 = 0,025

From data we find the mean of the values

μ₀ = 12,03 and σ = 0,07

From z table we find z score for 0,025 is z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 = 13,99

12,03 - 1,96 = 10,07

And all our values are within ( 10,07 , 13,99)

So we can not reject any value

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3 years ago

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Answer:

Step-by-step explanation:

So, according to the law of Sines, we have

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In our case, we have S and R, so...

$\frac{Sin(S)}{s} = \frac{Sin(R)}{r}$

And we want to isolate R...

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4 years ago

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6/10 as a decimal would be 0.6

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4 years ago