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3 years ago

What is 6 to the power of -1 as a fraction?

Mathematics

2 answers:

boyakko [2]3 years ago

7 0

Answer:

16/100 = 4/25

Step-by-step explanation:

Deffense [45]3 years ago

6 0

Answer:

1/6

Step-by-step explanation:

Since anything to a negative power is 1/(a^b) where the original was a^-b, we get 6^-1 is 1/6.

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How do you solve this

AlladinOne [14]

Answer:

domain: all terms are defined for <em>all real numbers</em>
solution: x = 6

Step-by-step explanation:

Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.

$5^{x-2}-7^{x-3}=7^{x-5}+11\cdot 5^{x-4}\\\\5^{x-2}-11\cdot 5^{x-4}=7^{x-3}+7^{x-5}\\\\5^{x-2}(1-11\cdot 5^{-2})=7^{x-3}(1+7^{-2})\\\\5^{x-2}\dfrac{14}{25}=7^{x-3}\dfrac{50}{49}\\\\1=\dfrac{2\cdot 7^{x-3}5^4}{2\cdot 5^{x-2}7^3}=\left(\dfrac{7}{5}\right)^{x-6}\\\\0=(x-6)\log(1.4)\\\\x=6$

6 0

3 years ago

What is the reason for each strip on the solution of the equation?

Pani-rosa [81]

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

Now, Applying addition property of equality:

Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

Now, Applying Division property of Equality:

Divide both sides by 6:

$\frac{6x}{6}=\frac{12}{6}\\x=2$

So, Answer will be:

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

7 0

3 years ago

A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine

Yanka [14]

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

<h3><u>the magnitude of the load is 2000N</u>.</h3>

7 0

3 years ago

What is the answer for m/1 =

Jobisdone [24]

<h3>Answer: 133</h3>

=============================================================

Explanation:

The quickest way to get this answer is to add the angles given to get 87+46 = 133

This is through the use of the remote interior angle theorem.

Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.

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

The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.

The three interior angles add to 180

87+46+x = 180

133+x = 180

x = 180 - 133

x = 47

The missing interior angle of the triangle is 47 degrees.

Angle 1 is adjacent and supplementary to this 47 degree angle, so,

(angle1)+(47) = 180

angle1 = 180-47

angle1 = 133 degrees

This example helps confirm that the remote interior angle theorem is correct.

6 0

3 years ago

8/3T=4/1T<br> Could you help mi solve it pls

katrin [286]

Answer:

For this problem t=0

4 0

3 years ago