First, fidn the volume of the little cubes that the rectangular prism can hold instide of itself. The formula for volume is length x width x height. This means you have to multiply 1/2 x 1/2 x 1/2. 1/2 x 1/2 x 1/2 = 1/8. Now, since the rectangular prism can hold 840 of these cubes, you need to multiply each cube's volume, 1/8, by 840. 1/8 x 840 = 105.
Your answer should be: 105 ft.^3
Answer:
(3/4) -(1/4)i
Step-by-step explanation:
Your answer is correct.

Answer:
log2(0.25) = -2
512 = 8^3
Step-by-step explanation:
- <em>Use of formula: </em><em>loga (b) = c ⇔ b = a^c</em>
Rewrite the following equation in logarithmic form.
0.25 = 2^-2
Rewrite the following equation in exponential form. log8 (512) = 3
Answer:

Step-by-step explanation:
From the picture attached,
Multiplication of two fractions gives the result as
.
This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.
Therefore, from the given numbers,
5 × 6 = 30
Rest two numbers be placed as the numerator of the fractions.


Therefore,
will be the answer.
Answer:
2x-3y=2
x=6y-5
2(6y-5)-3y=2
use the distributive property.
2*6y=12y
2*-5=-10
12y-10-3y=2
combine like terms
12y-3y=9y
9y-10=2
add 10 to both sides.
9y-10+10=9y
2+10=12
9y=12
divide both sides by 9
9y/9=y
y=about 1.33
plug in the value of y in the expression equal to the value of x.
x=6(1.33)-5
solve
6*1.33=7.98
x=7.98-5
7.98-5=2.98
Step-by-step explanation:
x=2.98
y=1.33