Answer:
20.
Given, complex number is 10+5i .
We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.
Answer:
y = 3 · 2ˣ
Step-by-step explanation:
Exponential function is:
y = abˣ
Plug in the points:
⅜ = ab⁻³
12 = ab²
Solve the system of equations. Start by dividing the second equation by the first:
12 / ⅜ = (ab²) / (ab⁻³)
32 = b⁵
b = 2
Plug into either equation to find a:
a = 3
Therefore:
y = 3 · 2ˣ
The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.
The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.
2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.
Answer:
Step-by-step explanation: Given expression .
In order to find the product of given expression, we need to convert 5,600,000 into scientific notation, because other number is also in scientific notation.
5,600,000 = 5.6 × 10^6.
Therefore, .
Now, multiplying 5.63 × 5.6 first, we get 31.528.
And 10^5 × 10^6 = 10^11.
Therefore,
.
<h3>Or 3.1528 × 10^12.</h3>
Answer:
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Step-by-step explanation: