Answer:
A) 30 cubes.
B) 30 units³.
Step-by-step explanation:
A) 1. Calculate the volume of the rectangular prism, as following:
2. You have that:
- The length is:
- The width is:
- The heigth is:
3. Substitute these values into the formula:
4. The volume of one cube is:
5. The length of one side is:
6. Substitute this value into the formula:
7. The number of small cubes that can be packed in the rectangular prism is:
B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:
2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
Answer:
2815 views
Step-by-step explanation:
Given :
⇒ Views on first day = <u>500</u>
⇒ Rate of increase = <u>28%</u>
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Creating a function :
⇒ Let y be the <u>total number of views</u> and x be the <u>number of days since posted</u>
⇒ y = 500 (1 + 0.28)ˣ = y = 500(1.28)ˣ
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Solving :
⇒ y = 500(1.28)⁷
⇒ y = 500(5.62949953)
⇒ y = 2815 views (nearest whole number)
Answer:
do you have a picture to go with it ?
Step-by-step explanation:
Answer:y= 0.035x. There are 0.035 ounces in every gram.
Step-by-step explanation:I just did the assignment and got it right
