The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
<h3>How to simplify algebraic equations?</h3>
We want to simplify the algebraic equation;
1000(7x - 10) = 50(292 + 100x)
The first step is to use distributive property of equality to expand the bracket to get;
7000x - 10000 = 14600 + 5000x
7000x - 5000x = 14600 + 10000
2000x = 24600
Use division property of equality to divide both sides by 2000 to get;
x = 24600/2000
x = 12.3
Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
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Answer: 3.97000947 × 10^4
Answer:Identity property
Step-by-step explanation:
<span>1.Verify whether n is large enough to use the normal approximation by checking the two appropriate conditions.
<span>2.Translate the problem into a probability statement about X.</span></span>
Answer:
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
, where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by 
, where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, 
. Since she raises her body 4.0 meters, the work done must be 
.
Since power is equal to work over time and t = 2.3 seconds, we have:
(to two significant figures)
