−15+45(15e−10)−10e.(1 point)
Responses
The answer is -15 + 45(15e - 10) - 10e.
SORRY THATS NOT A OPTION NOT TRYING TO BE MEAN BUT IF I FAIL IMA FIND YO AND BEAT U POOKIE
I apologize if the previous response was not what you were looking for.
To solve the expression -15 + 45(15e - 10) - 10e, follow the order of operations:
1. Start with the innermost parentheses:
15e - 10
2. Multiply:
15e - 10 = 15e - 150
3. Now substitute this value back into the original expression:
-15 + 45(15e - 10) - 10e = -15 + 45(15e - 150) - 10e
4. Distribute the 45 to the terms inside the parentheses:
-15 + 45(15e - 150) - 10e = -15 + 675e - 6750 - 10e
5. Combine like terms:
-15 + 675e - 6750 - 10e = (675e - 10e) + (-6750 - 15)
= 665e - 6765
So, the simplified expression is 665e - 6765.
To simplify the expression −15+45(15e−10)−10e, follow the order of operations (PEMDAS/BODMAS):
Step 1: Evaluate the exponent inside the parentheses (e−10).
15e−10 = 15 * e^(-10)
Step 2: Evaluate the exponent.
e^(-10) ≈ 0.0000454
Step 3: Multiply 45 with the result from Step 2.
45 * 0.0000454 ≈ 0.0020441
Step 4: Multiply the result from Step 3 by 15.
0.0020441 * 15 ≈ 0.0306615
Step 5: Evaluate the expression −15+0.0306615−10e.
−15 + 0.0306615 - 10e
Please provide the value for 'e' to proceed further.
To simplify the expression −15+45(15e−10)−10e, we need to apply the order of operations (PEMDAS/BODMAS) and simplify each part of the expression step by step.
1. Evaluate the exponent: 15e−10. Here, e represents the mathematical constant approximately equal to 2.71828. So, we need to substitute e with its value and calculate the exponent part: 15 * 2.71828^(-10).
2. Multiply 45 by the result obtained from step 1: 45 * (15 * 2.71828^(-10)).
3. Evaluate the exponent: 2.71828^(-10) ≈ 0.00004539993.
4. Calculate the multiplication in step 2: 45 * (15 * 0.00004539993).
5. Calculate the multiplication in step 4: 15 * 0.000681.
6. Now, let's simplify the original expression further: −15 + (15 * 0.000681) − 10e.
7. Multiply 15 by 0.000681: 15 * 0.000681 = 0.010215.
8. Substitute the value of e (approximately 2.71828) into the expression: −15 + 0.010215 − 10 * 2.71828.
9. Multiply 10 by 2.71828: 10 * 2.71828 = 27.1828.
10. Simplify the expression further by subtracting 15 from −15: −15 - 15 = -30.
11. Calculate the final result: -30 + 0.010215 - 27.1828 = -57.172585.
Therefore, the simplified value of the expression −15 + 45(15e−10) − 10e is approximately equal to -57.172585.