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3 years ago

Divide mentally 3,200/80=

Mathematics

2 answers:

uysha [10]3 years ago

7 0

It is 40 40. 40 is the answer

Drupady [299]3 years ago

4 0

The answer is 40 because 8×4=32

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Marianna [84]

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Step-by-step explanation:

Let us revise some logarithmic rules

$log(a)^{n}=nlog(a)$
$log(ab)=log(a)+log(b)$
$nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]$

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴ 10 log(x) = $log(x)^{10}$

- Then re-write 5 log(64)

∴ 5 log(64) = $log(64)^{5}$

∴ 10 log(x) + 5 log(64) = $log(x)^{10}$ + $log(64)^{5}$

- Use the 3rd rule above to make it single logarithm

∵ $log(x)^{10}$ + $log(64)^{5}$ = $log[(x)^{10}][(64)^{5}]$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(64)^{5}]$

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as $2^{6}$

∴ $(64)^{5}=(2^{6})^{5}$

- Multiply the two powers of 2

∴ $(64)^{5}=(2)^{30}$

∴ 10 log(x) + 5 log(64) = $log[(x)^{10}][(2)^{30}]$

The expression into a single logarithm is $log[(x)^{10}][(2)^{30}]$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

Geometry work HELP ASAP trying to find the measure of a circumference!!

dusya [7]

Answer:

65 degrees

Step-by-step explanation:

Since it is given that AB=DC

then we know that AO=DO and BO=CO because it is the radius of a same circle.

Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB

7 0

3 years ago

Given: ZDEF is a right angle. Using a paragraph proof, prove 41 is acute.

Slav-nsk [51]

Let G be some point on the diagonal line away from point E.

Angle DEG represents angle 1.

We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.

----------------

Extra side notes:

If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.

If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.

4 0

3 years ago

If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L

guapka [62]

Answer:

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Step-by-step explanation:

Explanation:-

Type of transformation change to co-ordinate point

vertical translation up 'd' units (x,y) changes to (x , y+d)

vertical translation down 'd' units (x,y) changes to (x , y-d)

Horizontal translation left 'c' units (x,y) changes to (x-c , y)

Horizontal translation right 'c' units (x,y) changes to (x+c , y)

Now by use above table

given data ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Final answer:-

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

3 0

3 years ago

PLEASE HELP MEE I REALLY NEED HELP NOT TRYING TO BE ANNOYING BUT I NEED HELPP!!! Find the vertex of the graph of the quadratic f

vladimir1956 [14]

Answer:

try math wa y

Step-by-step explanation:

it will give u the answer to most questions the answer is c

3 0

3 years ago