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Alborosie
3 years ago
12

Given log32≈0.631 and log37≈1.771, what is log314

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

Answer:

the log to the base 3 of 14 is 2.402

Step-by-step explanation:

You must find a way to indicate that 3 is the base; you cannot run this '3' together with 2, 7 or 14.

Example:  

log to the base 3 of 2 = 0.631

log to the base 3 of 7 = 1.771

Note that 2 times 7 is 14.  Thus, to obtain the log to the base 3 of 14, we must ADD the two logs shown above:

0.631

+1.771

----------

2.402

Thus, the log to the base 3 of 14 is 2.402.

Check:  Does 3^2.402 = 14?  YES

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Andrews [41]
24 is a multiple of 6 because 1st of all, 6 goes into 24 and 24 does not go into 6 equally. 2nd of all, 6 x 4 = 24 so that means 6 is a factor of 24.
5 0
4 years ago
In radian measure, the angles of a 45-45-90 triangle are:
jeka94

Answer:

The answer is the option A \frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}

Step-by-step explanation:

we know that

The measure of \pi radians is equal to 180\°

so by proportion

Find the measure in radians of  45\°

\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{45}\frac{radians}{degrees}\\ \\x=(45/180)*\pi \\ \\x=\frac{\pi}{4}

Find the measure in radians of  90\°

\frac{\pi}{180}\frac{radians}{degrees}=\frac{x}{90}\frac{radians}{degrees}\\ \\x=(90/180)*\pi \\ \\x=\frac{\pi}{2}

therefore

In radian measure the angles are

\frac{\pi}{4},\frac{\pi}{4},\frac{\pi}{2}

8 0
3 years ago
Read 2 more answers
Please Help me To solve this Problem
mart [117]

You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.

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cos²(φ) + sin²(φ) = 1

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cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)

1 + tan²(φ) = sec²(φ)

Solve for sec(φ) :

sec(φ) = - √(1 + tan²(φ))

Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then

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3 0
3 years ago
The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option
postnew [5]

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

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3 years ago
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A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed during June, July, August, and September. On a
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