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3 years ago

14

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the

equation, and state what 3x - 1 is equal to

2 answers:

astraxan [27]3 years ago

7 0

Answer:

Answers on edge :)

Step-by-step explanation:

The bases are not the same, so you cannot set 3x - 1 equal to 8.

You can evaluate the logarithm on the right side of the equation to get 3.

You can use the definition of a logarithm to write 3x - 1 = 1000.

irina [24]3 years ago

6 0

This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:

log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3

<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>

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Consider circle H below.

hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

$\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}$ , where,

r = Radius of circle,

$\theta$ = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

$78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}$

$78=2\cdot 3.14\cdot r\cdot \frac{7}{36}$

$78= 3.14\cdot r\cdot \frac{7}{18}$

$78= r\cdot \frac{21.98}{18}$

$r\cdot \frac{21.98}{18}=78$

$r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}$

$r=63.8762511373$

Upon rounding to nearest hundredth, we will get:

$r\approx 63.88$

Therefore, the radius of circle H is approximately 63.88 miles.

7 0

3 years ago

how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%

mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

$\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14$

We need to add around 1.14 liters

4 0

3 years ago

Read 2 more answers

153 is .9% of what number?

victus00 [196]

If you mean 9% of 153 your answer is 13.77

7 0

3 years ago

PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS

Oksi-84 [34.3K]

Answer:

A = 58.7 degrees

B = 66.9 degrees

C = 34.1 degrees

Step-by-step explanation:

<u><em>For <A:</em></u>

Tan A = $\frac{opposite}{adjacent}$

Tan A = $\frac{23}{14}$

Tan A = 1.6

A = $Tan^{-1} 1.6$

A = 58.7 degrees

<u>For <B:</u>

Sin B = $\frac{opposite}{hypotenuse}$

Sin B = $\frac{23}{25}$

Sin B = 0.92

B = $Sin^{-1} 0.92$

B = 66.9 degrees

<em><u>For <C:</u></em>

Sin C = $\frac{opposite}{hypotenuse}$

Sin C = $\frac{14}{25}$

Sin C = 0.56

C = $Sin^{-1}0.56$

C = 34.1 degrees

6 0

3 years ago

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 8

Novosadov [1.4K]

Answer:

At ; I = 3, P is at maximum

Step-by-step explanation:

P ( I ) = $[ \frac{80 I}{I^2 + I + g } ]$

at I = 3

P" ( I ) < 0

therefore at I = 3 the value of P( I ) is at maximum

attached below is the detailed solution

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3 years ago