Answer:
The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.
Step-by-step explanation:
The initial state of the battery on Sanchez's phone is 30% so in time t equals zero the battery should be at that value and as time progresses the battery should lose battery charge at a rate of 3% for each hour. We can write this in an equation form by taking the initial state and subtract it by the rate multiplied by the value of time. We have:
B(t) = 30 - 3*t
The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.
Answer:
D. 507 square units
Step-by-step explanation:
surface area of the rectangular pyramid
9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
Answer:
Perimeter: 310 units
Step-by-step explanation:
If x=4 and y=5, then the measure of the lengths would be..
8y+19= 8(5)+19= 59
8x+64= 8(4)+64= 96
13y-6= 13(5)-6= 59
16x+32= 16(4)+32= 96
To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59
96=96
To find the perimeter of any shape, we add all the side lengths together
59+59+96+96= 310
<em>Hope I was able to help! Good Luck!</em>
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