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3 years ago

Rearrange the equation to isolate A. H=K+log(A/C)

Mathematics

2 answers:

Maslowich3 years ago

4 0

H = K + log ( A/C )
log ( A/C ) = H - K
$\frac{A}{C}= 10^{H-K}$
$A = C*10 ^{H-K}$

Xelga [282]3 years ago

3 0

Answer:

$A=C(10)^{H-K}$

Step-by-step explanation:

The given equation is

$H=K+\log(\frac{A}{C}$

Subtract K to both sides of the equation

$H-K=\log(\frac{A}{C}$

Now, use the property, $x=\log y\Rightarrow y=10^x$

$10^{H-K}=(\frac{A}{C}$

Multiply both sides by C to isolate A

$A=C(10)^{H-K}$

The value of A is

$A=C(10)^{H-K}$

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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

3 years ago

[HELP ASAP 50 POINTS] 17, 18, 19, 20

Charra [1.4K]

17) f(x) = 16/(13-x).

In order to find domain, we need to set denominator expression equal to 0 and solve for x.

And that would be excluded value of domain.

13-x =0

Adding x on both sides, we get

13-x +x = x.

13=x.

Therefore, domain is All real numbers except 13.

18).f(x) = (x-4)(x+9)/(x^2-1).

In order to find the vertical asymptote, set denominator equal to 0 and solve for x.

x^2 -1 = 0

x^2 -1^2 = 0.

Factoring out

(x-1)(x+1) =0.

x-1=0 and x+1 =0.

x=1 and x=-1.

Therefore, Vertical asymptote would be

x=1 and x=-1

19) f(x) = (7x^2-3x-9)/(2x^2-4x+5)

We have degrees of numberator and denominator are same.

Therefore, Horizontal asymptote is the fraction of leading coefficents.

That is 7/2.

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Degree of numerator > degree of denominator .

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3 years ago

A ratio is in its simplest form 7:9.<br>if its consequent is 117, find the antecedent

a_sh-v [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Wewaii [24]

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3 years ago

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Advocard [28]

Answer:

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