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2 years ago

Anyone has an answer to this question?

Mathematics

1 answer:

mylen [45]2 years ago

8 0

Answer:

1/100 cos100⁰ 100 0.1 tan100⁰

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

Problem: Gerri made a function machine. Find the rule for Gerri's function machine.

shusha [124]

There are an infinite number of possibilities, and not enough information
to decide which possibility is really the one inside the function machine.

Here are a few. Each of these gives the result that you described,
and there are an infinite number of others:

f(x) = x

f(x) = 2x + 1

f(x) = 10x + 9

f(x) = x² - 2

f(x) = 7x² - 8

f(x) = 31x³ + 30

f(x) = log( |x| ) - 1

f(x) = ln( |x| ) - 1

f(x) = x tan(45°)
.
.
etc.

5 0

2 years ago

solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals

grigory [225]

$9x^{2} + 4y^{2} =144$
$x^{2} + y^{2}=24$

$9x^{2} + 4y^{2} =144$
$4x^{2} + 4y^{2}=96$
by the difference
5 $x^{2}$ =48
so x= $\sqrt{\frac{48}{5}}$ or x=- $\sqrt{\frac{48}{5}}$
and $y^{2}$ =24- $\frac{48}{5}$
then y= $\sqrt{\frac{72}{5}}$ or - $\sqrt{\frac{48}{5}}$

5 0

3 years ago

The gym teacher keeps 15 wooden bats and 9 metal bats in the equipment room. Of a student chooses a bat at random, what is the p

lbvjy [14]

1.Add the metal and wooden bats together
15+9=24
2. Create fraction
9/24
3.turn into a decimal by dividing numerator(top number) by denominator(bottom number).
9/24=0.375
4.multiply by 100 to get percentage
0.375*100=37.5

Therefore there is a 37.5 chance that he picks a metal bat

8 0

3 years ago

Secxcotx=cscx<br><br> Verify this with steps please :))))

Jlenok [28]

Secxcotx=cscx
1/cos * cos/sin =cscx
cos/sincos=csc
1/sin=csc

4 0

2 years ago