Answer:
Volume of the prism is 648
Step-by-step explanation:
Given:
Base of the prism is rectangular in shape
Height of the prism = 6 cm
Base length of the prism= 12 cm
Base width of the prism= 9 cm
To Find:
Volume of the prism=?
Solution:
Volume of the prism ,
V= Base area of the prism x Height of the prism
Here in the figure base of the prism is in Rectangular form
So the base area of the prism = area of the rectangle
We know that the area of the rectangle is = length x height
Substituting the values
Area of the Rectangle = 12 x 9
Area of the Rectangle = 108
So the are of the base of the prism is 108
Now
Volume of the prism,
V= 108 X 6
V= 648
Answer:

Step-by-step explanation:
Given


Required
Model the situation using an equation
Represent the number of orders with n
Represent the balance with y
y is calculated as:

We used minus because the amount is being deducted


Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:


(this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
Use the Pythagorean theorem
let = length of ram = l
l² = 4² 18²
l² = 16 + 324
l² = 340
l = 18.4390889146
l = 18.4 ft.
Answer:
-10/6
Step-by-step explanation:
10-4=6, and 8-(-2)=-10