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choli [55]
3 years ago
9

Simplify the following expressions in indices (2 x 103 x 3 x 105)/2 x 10-2​

Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

(2 x 103 x 3 x 105) = 64890

2 x 10 -2 = 20 - 2 = 18

64890 / 18

3605

Or (206 x 315) / 20 - 2

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Linear Equation, Need Solved Asap <3
s2008m [1.1K]

Step-by-step explanation:

y = 5x - 4

When x = 0, y = 5(0) - 4 = -4.

When x = 1, y = 5(1) - 4 = 1.

When x = 2, y = 5(2) - 4 = 6.

The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).

We now check the point (-5,-29):

(-29) : 5(-5) - 4

-29 : -25 - 4

-29 : -29 => -29 = -29.

Since Left hand side = Right hand side, the point (-5,-29) is a solution.

5 0
3 years ago
Read 2 more answers
How many real solutions does this system of equations have? x^2 + y^2 = 36
Vinvika [58]

Answer:

C:  there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6.  Even a rough sketch of this circle would enable you to visualize what is happening here.  

3x – y + 1 = 0 may be solved for y:  y = 3x + 1.  The y-intercept of this straight line is (0, 1).  Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it.  This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0.  This is a quadratic equation.  We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35.  Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.  

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C:  there are two real solutions.

4 0
3 years ago
Pls help me its due sooon
stira [4]

Answer:

nobody

Step-by-step explanation:

3 0
3 years ago
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You have 55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. How much buying power wil
diamong [38]
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375

To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870

The buying power lost will be the difference between your required interest and actual interest.

Thus:
Buying power lost=1870-1375=$495

8 0
3 years ago
Evaluate 150 + 3p for p = 30
LiRa [457]

150+3p

p=30

150+3(30)

150+90

240

When p=30 in 150+3p, the final value is 240.

7 0
3 years ago
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