<u>Finding the proportionality constant</u> :
- y = k/x
- 16 = k/(1/2)
- <u>k = 8</u>
<u>Finding y when x = 17</u> :
The value of y is <u>8/17</u> when x = 17.
Answer:
The volume of the smaller solid is 72 cm.
Step-by-step explanation:
Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:
108 = 162
48 = X
48 x 162/108 = X
7776/108 = X
72 = X
Therefore, the volume of the smaller solid is 72 cm.
Answer:
31
Step-by-step explanation:
Plug in 3 for x in the expression:
4(3²) - 5
Note that there are no parenthesis (other than the one I added, to make it easier for you. Follow the order of operations, PEMDAS. PEMDAS = Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction, and the left -> right rule.
First, solve the exponent:
4(3²) - 5 = 4(3 * 3) - 5 = 4(9) - 5
Next, solve the multiplication:
4(9) - 5 = 36 - 5
Finally, subtract:
36 - 5 = 31
31 is your answer.
~
The company's sales increase by $940
(0.94×1000)
This sequence is doubling the sequence and adding half. When n is your number, you could find the next number in your sequence by plugging in the number:
2n+0.5n
To find the 4th term, we need to plug in 50.
2*50+0.5*50=125
Now, we need to find the 5th term, so we plug in 125.
2*125+0..5*125=312.5
To find the 6th term, we plug in 312.5.
2*312.5+0.5*312.5=781.25
So, the next 3 terms are 125, 312.5, and 781.25
