-2log_5 7x = log_5 2
log_5[1/(7x)^2] = log_5 2
log_5(1/49x^2) = log_5 2
log_5(1 - 49x^2) = log_5 2
1 - 49x^2 = 2
You finish.
<span>If you would like to
transform the phrase </span>7 copies of the sum of 8 fifths and 4 into a math expression, you can do this using the following steps:<span>
<span>8 fifths ... 8/5</span></span>
<span><span>
the sum of 8 fifths and 4 ... 8/5 + 4</span></span>
7 copies ... 7 *
7 * (8/5 + 4) = 7 * (8/5 + 20/5) = 7 * 28/5 = 196/5 = 39.2
The correct result would be 196/5.
Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>
<u>Answer:</u>
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
<u>Step-by-step explanation:</u>
Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2
Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3
Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3
So according to these calculations, the correct answer options are:
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
