The volume of the toy box in cubic feet is 18 ft³.
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
First, we need to convert the dimensions of the box from inches to feet:
Height: 24 inches ÷ 12 inches/foot = 2 feet
Width: 36 inches ÷ 12 inches/foot = 3 feet
Length: 36 inches ÷ 12 inches/foot = 3 feet
So, the box has a height of 2 feet, a width of 3 feet, and a length of 3 feet.
To find the volume of the rectangularprism,
We multiply the height by the width by the length:
Volume = 2 feet x 3 feet x 3 feet = 18 cubic feet
Therefore,
The volume of the toy box in cubic feet is 18 ft³.
Learn more about prism here:
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Answer:
The cost of each magnolia plant is $23.24, the cost of each camellia plant is $14.28, and the cost of each azalea plant is $31.05.
Step-by-step explanation:
I attached the explanation.
Solve the inequality.
Answer:
y > 9
Step-by-step explanation:
Given inequality:
To solve the given inequality, we need to isolate y on one side of the equation.
Begin by multiplying both sides of the inequality by 3 to eliminate the fraction on the right side:
Now, divide both sides of the inequality by -8 to isolate y. Remember to reverse the inequality sign, as we are dividing by a negative number.
Therefore, the solution is:
What is the missing value in the table?
--------------------------------------------------------------
Length Width Height
5 in. 214 in.
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A) 79in.
B) 412in.
C) 134in.
D) 1018in.
mcyt mcyt mcyt mcyt mcyt
The missing value in the dimensions of a rectangular prism having a volume of 50 5/8 cubic inches, length 5 inches, and width 214 inches, is found by dividing the volume by the product of length and width. On calculating, it is found to be approximately 1/7 inches.
The volume of a rectangular prism is found by multiplying the length, width, and height together. Here, you are given the total volume (50 5/8 cubic inches) and two of the dimensions (length is 5 inches and width is 214 inches). Therefore, the missing value is the height. To find this, you should divide the total volume by the length and the width.
So, Height = Volume / (Length x Width) = (50 5/8) / (5 x 214) = 81/ 14, which gives approximately 1/7 inches. Hence, none of the options (A, B, C, D) is correct.
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Answer:
No, it is not.
Step-by-step explanation:
You graph the inequality by finding the boundary line, then shading the appropriate area.
END OF THE IPOD ERA
players are replacing the iPod, along with the category of device it helped to create. Sales of the iPod worldwide from 2007
through 2011 (in millions) were
approximately
N(0= -165t2 + 13.13t+ 39.9 (0 < t< 4)
in year t, where t= 0 corresponds to 2007. Show that the worldwide sales of the iPod peaked sometime in 2009. What was the approximate largest number of iPods sold worldwide from 2007 through 2011?
Answer:
a. t = 2.48 will be a period within 2009.
b. 56.16 million
Step-by-step explanation:
Here is the complete question
Apple introduced the first iPod in October 2001. Sales of the portable music player grew slowly in the early years but began to grow rapidly after 2005. But the iPod era is coming to a close. Smartphones with music and video
Apple introduced the first iPod in October 2001. Sales of the portable music player grew slowly in the
END OF THE IPOD ERA
players are replacing the iPod, along with the category of device it helped to create. Sales of the iPod worldwide from 2007
through 2011 (in millions) were
approximately
N(0= -2.65t2 + 13.13t+ 39.9 (0 < t< 4)
in year t, where t= 0 corresponds to 2007. Show that the worldwide sales of the iPod peaked sometime in 2009. What was the approximate largest number of iPods sold worldwide from 2007 through 2011?
a. Show that the worldwide sales of the iPod peaked sometime in 2009
N(t) = -2.65t² + 13.13t + 39.9
To find the maximum value of N(t), we find dN(t)/dt and equate it to zero
dN(t)/dt = d[-2.65t² + 13.13t + 39.9]/dt
dN(t)/dt = -5.3t + 13.13 = 0
-5.3t = - 13.13
t = -13.13/(-5.3)
t = 2.477
t ≅ 2.48
d²N(t)/dt² =d[-5.3t + 13.13]/dt = -5.3 < 0. So, t = 2.48 is a maximum point
Since t = 2 is 2009 and t = 3 is 2010, t = 2.48 will be a period within 2009.
b. What was the approximate largest number of iPods sold worldwide from 2007 through 2011?
The approximate largest number of ipods sold is when t = 2.48
N(2.48) = -2.65(2.48)² + 13.13(2.48) + 39.9
N(2.48) = -16.29856 + 32.5624 + 39.9
N(2.48) = 56.16384
N(2.48) ≅ 56.16 million
Answer: choice D
Step-by-step explanation:
In order for something to be a function for every x input there must be exactly 1 y output. This means that if x is a number then y must always be 1 number and that 1 number only.