The word "cubed" means to the exponent of 3. Therefore the expression would be (-5)^3. The answer would be negative as you're multiplying a negative an odd number of times. The answer is -125. Hope this helps :)
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
<em>3/4 squared is 9/16.</em>
500 * 9/16
<em>Multiply 500 by 9 to get 4500.</em>
4500/16
<em>Simplify 4500/16 to 1125/4 (4 is canceled out.)</em>
1125/4
<em>Divide 1125 by 4 to get 281.25</em>
281.25
281.25 grams of aspirin will be in the patient body after two hours.
The area of a right triangle is 1/2*base height. The base is 6 and the height is 8, 6*8 = 48. After that, we multiple 48 by 1/2 which is 24. This is the are of the top and bottom triangles on #5.
Answer:
3
Step-by-step explanation:
Darian's plans are 3 feet long, and they're for a table 9 feet long. The scale factor is 9/3 = 3. That is, he must multiply the plan size by 3 to get the actual size.
_____
A scale factor is usually expressed as a fraction: (model size)/(real size). Here, it looks like you want a dilation factor that is (real size)/(model size).
Answer:
108 cm^2
Step-by-step explanation:
A trapezoid has an altitude of 12 cm. Its parallel sides measure 10 and 8 cm, respectively.
The base of trapezoid are 10 and 8 cm
Height of a trapezoid = 12cm
Area of a trapezoid formula = 
= 
=108cm^2