−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 plus 23
−2e−23
negative 2 e minus 23
−2e−23
To solve the equation −15+45(15e−10)−10e, we can follow the steps below:
Step 1: Start with the innermost parentheses and evaluate the expression inside them:
15e - 10
Step 2: Substitute the expression from Step 1 into the equation:
-15 + 45(15e - 10) - 10e
Step 3: Simplify the equation by performing the multiplication inside the parentheses:
-15 + 45 * 15e - 45 * 10 - 10e
Step 4: Distribute the multiplication to simplify further:
-15 + 675e - 450 - 10e
Step 5: Combine like terms:
665e - 465
So the simplified form of the equation is 665e - 465.
To solve the equation −15+45(15e−10)−10e, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we need to simplify the expression inside the parentheses: 15e−10. To do this, we can substitute the value of e and evaluate the expression.
Let's assume that e is equal to a certain value, for example, e = 2.71 (which is an approximation of the mathematical constant e). You can use any other value for e if you have a specific one in the given context.
So, substituting e = 2.71 into the expression, we have:
15(2.71)−10 = 40.65−10 = 30.65
Now we can rewrite the original equation as:
−15+45(30.65)−10e
Next, we need to simplify the multiplication: 45(30.65).
45 multiplied by 30.65 equals 1,379.25.
Now the equation becomes:
−15+1,379.25−10e
Finally, we need to subtract 10e:
−15 + 1,379.25 − 10e
Since we don't have the specific value of e, we cannot simplify this expression any further. The answer would be:
−15 + 1,379.25 − 10e