−15+45(15e−10)−10e.(1 point)
Responses
2e−23
2 e minus 23
2e+23
2 e plus 23
−2e−23
negative 2 e minus 23
−2e+23
negative 2 e plus 23
To solve the expression −15+45(15e−10)−10e, we can follow the order of operations (PEMDAS/BODMAS) which states that we should perform the calculations in brackets/parentheses first, then any exponentiation, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right) as the last step.
Calculating the expression step-by-step:
Step 1: Evaluate the expression inside the parentheses:
15e−10 = 15 * e^(-10)
Step 2: Calculate any exponentiation:
e^(-10) = 2.202646579480693e-05 (a very small number)
Step 3: Multiply the result from step 2 by 15:
15 * 2.202646579480693e-05 = 3.30496986922104e-04 (another small number)
Step 4: Multiply 45 by the result from step 3:
45 * 3.30496986922104e-04 = 0.014872864111948 (approximately)
Step 5: Multiply 10e. Here, we assume that "10e" refers to 10 * e (the mathematical constant):
Step 6: Subtract the result from step 5 from the result from step 4:
0.014872864111948 - 10e
Finally, we cannot simplify the expression any further without more specific information about the value of e.
To solve the given expression −15+45(15e−10)−10e, follow these steps:
Step 1: Evaluate the inside parentheses.
The expression in the parentheses is 15e−10. To evaluate this, you need to know the value of e. Since e represents a mathematical constant called Euler's number, its approximate value is 2.71828. Substitute this value into the expression.
15e−10 = 15 * 2.71828−10
Step 2: Simplify further.
Now, calculate 2.71828−10 and multiply it by 15.
15 * 2.71828−10 = 15*0.000048
Step 3: Carry out the multiplication.
Multiply 15 by 0.000048.
15*0.000048 = 0.00072
Step 4: Substitute the simplified expression back into the original expression.
−15+45(15e−10)−10e = −15+45(0.00072)−10e
Step 5: Multiply and subtract in the original expression.
Multiply 45 by 0.00072, then subtract 10e from the result.
−15+45(0.00072)−10e = −15+0.0324−10e
Step 6: Simplify further.
Now, combine −15 and 0.0324, and subtract 10e.
−15+0.0324−10e = −14.9676−10e
Step 7: Finalize the expression.
The final expression is −14.9676−10e. Now, if you have the value of e, you can substitute it into the expression to get the answer.
To simplify the expression, let's break it down step-by-step:
1. Start with the first term: -15.
2. Move on to the second term: 45(15e^(-10)). To simplify this, first calculate the exponential part, e^(-10), which is approximately 4.5399929762 x 10^(-5). Then multiply it by 15:
45 * (15 * 4.5399929762 x 10^(-5)) = 30.8245467147
3. Proceed to the third term: -10e. This term is already simplified, so you can leave it as is.
-10e
4. Putting it all together, the simplified expression is:
-15 + 30.8245467147 - 10e
Therefore, the simplified expression is:
-15 + 30.8245467147 - 10e