−15+4/5(15e−10)−10e.(1 point)%0D%0AResponses%0D%0A%0D%0A2e−23%0D%0A2 e minus 23%0D%0A%0D%0A−2e−23%0D%0Anegative 2 e minus 23%0D%0A%0D%0A2e+23%0D%0A2 e plus 23%0D%0A%0D%0A−2e+23
To simplify the expression −15+4/5(15e−10)−10e:
First, let's calculate 15e−10:
15e−10 ≈ 15 × (2.71828)^(-10) ≈ 15 × 0.00004539992 ≈ 0.0006809988
Next, let's substitute this value back into the original expression:
−15 + (4/5)(0.0006809988) − 10e
Now we need to calculate 10e:
10e ≈ 10 × 2.71828 ≈ 27.1828
Substituting this value back into the expression:
−15 + (4/5)(0.0006809988) − 27.1828
Now let's simplify further:
−15 + 0.00054559904 − 27.1828
Combining like terms:
−42.1828 + 0.00054559904
Calculating the final answer:
−42.18225440096
So the simplified expression is approximately −42.18225440096.
−15+45(15e−10)−10e.
A 2e - 23
B -2e-23
C 2e+23
OR
D-2e + 23
To simplify the expression −15+45(15e−10)−10e, we follow the order of operations:
First, let's calculate 15e−10:
15e−10 ≈ 15 × e^(-10) ≈ 15 × 0.00004539992 ≈ 0.0006809988
Now let's substitute this value back into the original expression:
−15 + 45(0.0006809988) − 10e
Next, let's calculate 10e:
10e ≈ 10 × 2.71828 ≈ 27.1828
Substituting this value back into the expression:
−15 + 45(0.0006809988) − 27.1828
Now let's simplify further:
−15 + 0.030646944 − 27.1828
Combining like terms:
−42.152153056
The simplified expression is approximately −42.152153056.
So none of the given options (A, B, C, or D) match the simplified expression.