Answer:
<em>π∫52(ey3)2dy</em>
The work I did to solve this equation:
Step 1
<em>ln(3x)=2
</em>
<em>3x=2e
</em>
<em>x=2e3
</em>
Step 2
<em>ln(3x)=5
</em>
<em>3x=5e
</em>
<em>x=5e3</em>
Step 3
<em>y=ln(3x)⟺ey=3x⟺ey3=x</em>
Step 4
π∫52(ey3)2dy
We know that the area of a rectangle is A=L*W
A of Tara's bedroom,
A(Tara)=9*8=72 square feet
A(Jody)=7*10=70 square feet
Tara's bedroom has a greater area
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
Answer:
23. 0.4583 seconds
24. 0.0107 seconds
Step-by-step explanation:
The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.
90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s
__
23. The time it takes for the ball to travel 60.5 ft is ...
time = distance/speed
time = (60.5 ft)/(132 ft/s) = 0.4583 s
It takes 458.3 milliseconds to reach home plate.
__
24. time = distance/speed
time = (17 in)/(1584 in/s) = 0.0107 s
The ball is in the strike zone for 10.7 milliseconds.
The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p