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2 years ago

Which statement is correct?

Mathematics

1 answer:

ella [17]2 years ago

6 0

Answer:

The second and third equations are correct.

Step-by-step explanation:

Note that the equations are all the same, with the exception of the math operation (=,>,<, $\leq$ , etc.). Let's do one calculation and then decide which of the statements is true.

The components may be simplified by separating the numbers from the exponents and doing the calculations separately:

(2.06x10^-2)(1.88x10^-1) becomes (2.06*1.88)*(10^-2 * 10^-1)

Left Side:

(2.06*1.88) = 3.91

(10^-2 * 10^-1) = 10^-3 [The exponents add when multiplying]

(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3

Right side:

(7.69/2.3) = 3.343

(10^-2)/(10^-5) = 10^3 [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3 ]

(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3

For all equations:

LEFT RIGHT

3.91x10^-3 3.343x10^3

We can now answer the question. Is the left side (3.91x10^-3 )

A. <

B. =>

C. >, or

D. =

to the right side (3.343x10^3)

We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides. Think of it as dividing both sides by 10^3.

Correct?

A. 3.91 < 3.34 NO

B. 3.91 => 3.34 YES

C. 3.91 > 3.34, or YES

D. 3.91 = 3.34 NO

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While waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.

Phoenix [80]

Step-by-step explanation:

30/100*32000=

960,000/100

=9,600 kilobytes.

6 0

2 years ago

HELP!! I'm not sure what goes in the blank.

natta225 [31]

Answer:

10 $sin^{2} ($ β $)$

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10 $sin^{2} ($ β $)$ on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10 $sin^{2} ($ β $)$ .

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10 $sin^{2} ($ β $)$ cos(β)

But since cos(β) is already present, we can see that the answer is 10 $sin^{2} ($ β $)$

4 0

2 years ago

He marker costs 1/3 as much as the pen. The pen costs 1/3 as much as the book. The book costs 1/3 as much as the game.The price

liubo4ka [24]

The marker will be 1/9 of the game

7 0

3 years ago

Melissa, Juan, and Rafael served a total of 74 orders Monday at the school cafeteria. Rafael served 2 times as many orders as Ju

Sidana [21]

Let's named variables as M,J and R

The equation is M+J+R=74

We will represent M with J => M=J+6 and R=2J

when we replace in the equation we get

J+6+J+2J=74 => 4J=74-6 => 4J=68 => J=68/4 = 17

J=17 => M=6+17 => M=23 and R=2* 17 => R=34

Final answer is
Juan served 17 orders
Melissa served 23 orders and
Rafael served 34 orders

Good luck!!!!

7 0

4 years ago

PLEASE HURRY Write the equation as a single logarithm 3log(x-2)+2log(x+2)

zubka84 [21]

Answer:

$3\,log (x-2)+2\,log(x+2)$ can be written as the single logarithm:

$log((x-2)^3\,(x+2)^2)$

Step-by-step explanation:

Start by using in both terms of the expression the property of logarithm of a power that states:

$log(a^b)=b\,*\,log(a)$

so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:

$3\,log(x-2)=log((x-2)^3)\\and\\2\,log(x+2)=log((x+2)^2)$

Then we use the property of logarithm of a product which states that:

$log(a*b)=log(a)+log(b)$

So now we recognize the expression:

$log((x-2)^3)\,+\,log((x+2)^2)$

as the logarithm of the product:

$log((x-2)^3\,(x+2)^2)$

which is finally a single logarithm as requested.

5 0

3 years ago