Answer:
t = 1
Step-by-step explanation:
2t + 8 = 10
2t = 2 (-8 on both sides)
t = 1 (divide 2 on both sides)
ANSWER: -60
EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:
−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.
−10−|−20−30|
= −10−|−50|
= −10−50
= −60
Answer:
23
Step-by-step explanation:
We are given that
f(2)=13


We have to find the possible small value of f(7).
We know that

Using the formula


We have






The small value of f(7) can be 23.
He would spend 246.5 each day because you would divide 1,725.50 by 7 and get 246.5
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec