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3 years ago

If Log 4 (x) = 12, then log 2 (x / 4) is equal to A. 11 B. 48 C. -12 D. 22

2 answers:

8 0

If log₄ (x) = 12, then log₂ (x / 4) =?
The easiest way:

a) log₄ (x) = 12, re write it in exponential way : x = 4¹² = 16,777,216

b) Plug the value of x in log₂ (x / 4)

log₂ (16,777,216 / 4) → log₂(4,194,304)

and log₂(4,194,304) = 22

kiruha [24]3 years ago

5 0

Hi,
The answer to your problem is D. 22. Hope this helps and have a wonderful day!

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The revenue equation (in hundreds of millions of dollars) for barley production in a certain country is approximated by R(x) = 0

STatiana [176]

Answer:

The marginal-revenue equation is $R'(x)=0.1226x+1.1584$ .

The marginal revenue for the production of 200,000,000 bushels is $R'(x)=1.4036$ .

The marginal revenue for the production of 650,000,000 bushels is $R'(x)=9.1274$ .

Step-by-step explanation:

The derivative $R'(x)$ of the revenue function is called the marginal revenue function and is the rate of change of revenue with respect to the number of units sold.

We know the revenue function, $R(x) = 0.0613x^{2} +1.1584x+2.4813$ . Therefore, the marginal revenue function is

$R'(x)=\frac{d}{dx}R(x) = \frac{d}{dx}(0.0613x^{2} +1.1584x+2.4813)\\\\=\frac{d}{dx}\left(0.0613x^2\right)+\frac{d}{dx}\left(1.1584x\right)+\frac{d}{dx}\left(2.4813\right)\\\\R'(x)=0.1226x+1.1584$

To find the marginal revenue for the production of:

200,000,000 bushels we use x = 2, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:2+1.1584\\\\R'(x)=0.2452+1.1584\\\\R'(x)=1.4036$

650,000,000 bushels we use x = 65, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:65+1.1584\\\\R'(x)=7.969+1.1584\\\\R'(x)=9.1274$

3 0

3 years ago

PLEASE HELP ONLY IF RIGHT 50 POINTS AND BRAINLIEST PLUS THANK YOU AND 5 STARS. My cousin need help.

Serjik [45]

Answer:

1) Number of scoops = 42

2)Number of scoops = 10

Step-by-step explanation:

Volume of the sink = (4000/3)π in³

Diameter = 4 in ∵ Radius = 4/2 = 2 in

Height = 8 in

Volume of the cylindrical cup = $\pi r^{2}h = \pi 2^{2} * 8 = 32\pi$ in³

Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup

= (4000/3)π / 32π ==> 42

Number of scoops = 42

Diameter = 8 in ∵ Radius = 8/2 = 4 in

Height = 8 in

Volume of the cylindrical cup = $\pi r^{2}h = \pi 4^{2} * 8 = 128\pi$ in³

Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup

= (4000/3)π / 128π ==> 10

Number of scoops = 10

4 0

3 years ago

“Solve the system using elimination” im not good at math so can someone help me

iris [78.8K]

Answer:

No solutions

Step-by-step explanation:

i did this via substitution so i hope it isn't a problem

3x+y=4

6x+2y=−4

Step: Solve 3x+y=4for y:

3x+y+−3x=4+−3x(Add -3x to both sides)

y=−3x+4

Step: Substitute−3x+4foryin6x+2y=−4:

6x+2y=−4

6x+2(−3x+4)=−4

8=−4(Simplify both sides of the equation)

8+−8=−4+−8(Add -8 to both sides)

0=−12

so there are no solutions

hope this helps!!

8 0

3 years ago

Hannah estimated that a bottle could hold 2.2 liters. The actual volume of the bottle was 2 litters. What was the percent error

MrRa [10]

Answer:

I dont have a direct answer but i think i can help.

Step-by-step explanation:

For example, 2%, read "percent", is two every hundred. When we have 100 liters of water, 2% is 2 liters. If we have 200 liters of water, then 2% is 4 liters. Converting a percentage into a fraction can be done by dividing by 100, following the definition of a percentage.

4 0

3 years ago

Please help asap !!!

riadik2000 [5.3K]

Answer:

y = -6/5 -3

Step-by-step explanation:

Point-Slope Form: (y - y_0)=m(x - x_0)

$(y-3)=-\frac{6}{5}(x-(-5))\\y-3=-\frac{6}{5}(x+5)\\y-3=-\frac{6}{5}x-6\\y=-\frac{6}{5}-3$

5 0

2 years ago