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jekas [21]
4 years ago
14

If 5^3b-1 = 5^b-3 what is the value of b?

Mathematics
1 answer:
Tanzania [10]4 years ago
7 0

Answer:

  b = -1

Step-by-step explanation:

Your equation is ...

  (5^3)b -1 = 5^b -3

This is a mix of exponential and linear terms, and cannot be solved algebraically.

___

We suspect you might mean ...

  5^(3b -1) = 5^(b -3)

We can equate the exponents to find a value for b:

  3b -1 = b -3

  2b = -2 . . . . add 1-b to both sides

  b = -1 . . . . . . divide by 2

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In right triangle ABC, sin M = cos 61. If 0
Eva8 [605]

Note: Consider we need to find the value of M if 0^\circ

Given:

In a right triangle ABC,

\sin M=\cos 61^\circ

To find:

The value of M.

Solution:

We have,

\sin M=\cos 61^\circ

It can be rewritten as:

\sin M=\cos (90^\circ-29)^\circ

\sin M=\sin 29^\circ                   [\because \sin (90^\circ-\theta)=\sin \theta]

On comparing both sides, we get

M=29^\circ

Therefore, the value of M is 29 degrees.

8 0
3 years ago
Which of the following are algebraic equations?
Y_Kistochka [10]

Answer:

The equation (i) is the only algebraic equations.

Step-by-step explanation:

From the given examples of equations the equation (i) is the only algebraic equations.

(i) 3.1x - 11.2 = 2.5x + 2.3.

This is an example of algebraic equation with single variable x.

(ii) ???? + ???? = 2????

This could be an equation with variable ???? but both the sides being equal they cancel each other and no equation remains.

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6 0
3 years ago
Find the length of a side of a square if its area is:<br> 0.49 square units
barxatty [35]

Answer:

Side = 0.7 units

Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

side² = \frac{49}{100}\\\\

side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7

5 0
3 years ago
Someone pls help me I’m stuck
Fofino [41]

Answer:

center= (0, -9)

r=1

Step-by-step explanation:

formula for circle= (x-h)^2+(y-k)^2= r^2

(h, k)= center

r= radius

We know that h is 0 since (x-h)^2 is x^2.

We know k= -9 from (y+9)^2

since r^2=1

r=1

5 0
3 years ago
This week Kent works 15 hours at$12.50 an hour His Paycheck Including his commission was $263.85 can was to know how much earned
Kruka [31]

Answer:

83.85 is the amount of commission kent made. hope it helps :)

Step-by-step explanation:

15*12.50= 180

263.85-180=83.85

5 0
3 years ago
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