For the first question, the answer is B. I feel like a picture will help explain my answer the most.
178 is equal to the area of the pen minus the area of the doghouse. For the area of the pen, we turn to the problem which said that the pen is three feet wider than it is long, making the width x+3 and the length x since the problem said that x represent the length of the pen. Now, you can find the area of the pen by multiplying x+3 by x, giving us a answer of x^2+3x. Lastly, subtract by y, giving us an equation of 178=x^2+3x-y. Looking at the answer choice, I only see one answer that wrote that, answer choice B, so I don't even have to confirm the second part of the answer (the one with positive/negative 6 equals to 4x minus 3y).
For the second question the answer is C since .15% is equal to 0.0015 and .37% is equal to 0.0037. Since it is decaying, it must be negative, so the answer is C.
Answer:
A= 24
Step-by-step explanation:
A =l x w
4 x 6 = 24
A =24
p =L + W + H
4 +6 =10
P = 10
Answer:
It would be a vertical line over the x value 1. Domain would be 1 and range would be all real numbers.
Step-by-step explanation:
Since x=1 then all values of y would have their x to be 1.
Answer:
8 have brown eyes
Step-by-step explanation:
50% of 20 is 10 children
40% of 10 is 4 so 4x2 is 8 children
Answer:
time = 2.48 seconds
Step-by-step explanation:
Given data:
distance = 100 foot
Initial velocity = 0 <em>because it was held and being released.</em>
acceleration is gravitational force
<em>gravitational force in feet per second = 32.2 ft/s²</em>
<em>formula for distance is s = ut +(1/2)at² where s = distance , u = intial velocity , a = acceleration and t = time</em>
s = ut +(1/2)at²
100 = 0(t) + (1/2)(32.2)t²
100 = 16.2t²
100/16.2 = t²
therefore t = 2.484
t = 2.48 seconds (to 2 decimal places)