The boy wants to build rectangular beetle cages to study beetle behavior. He wants all the sides on the base of his cages to be
1 answer:
Answer:
32 cm by 18 cm
16 cm by 36 cm,
48 cm by 12 cm
24 cm by 24 cm
Step-by-step explanation:
<u><em>The complete question is</em></u>
A boy wants to build rectangular cages. He wants all the sides on the base of his cages to beat least 10 cm long.he also wants the base area to equal 576 cm2. The boy needs help to find all the possible lengths and widths for the base of the cages. He used only whole centimeters, with no fractional parts.what are all the possible dimensions for the rectangular base?
we know that
The number 576 decompose in prime factors is the same that write
To find out possible side lengths, multiply different combinations of these prime numbers together (make sure each pair adds up to 10)
3x3=9cm 2x2x2x2x2x2= 64cm ----> is not a combination (one side is not greater than 10)
3x3x2= 18cm 2x2x2x2x2= 32cm
3x3x2x2= 36cm 2x2x2x2= 16cm
3x2x2= 12cm 3x2x2x2x2= 48cm
3x2x2x2= 24cm 3x2x2x2= 24cm
therefore
32 cm by 18 cm
16 cm by 36 cm,
48 cm by 12 cm
24 cm by 24 cm
You might be interested in
Answer:
The estimated multiple regression equation is ^Y= -49.17 + 15.03X₁ + 0.17X₂ + 12.23X₃ + 14.29X₄ -2.96X₅
Step-by-step explanation:
Hello!
To estimate a model to predict if it is a good investment to open a Starbucks.
Using the information of 27 Starbucks stores, and given the variables:
Y: Annual net sales ($1000)
X₁: Monthly rent ($1000)
X₂: Inventory expenses ($1000)
X₃: Advertising expenses ($1000)
X₄: Monthly sales ($1000)
X₅: Number of competitor stores in the area.
The multiple regression model is
Y= β₀ + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₄ + β₅X₅ + ε
Using a statistics software I've estimated the regression equation:
^Y= -49.17 + 15.03X₁ + 0.17X₂ + 12.23X₃ + 14.29X₄ -2.96X₅
Where:
b₀: -49.17 thousand dollars represents the estimated average annual net sales when the monthly rent, the inventory expenses, the advertising expenses, the monthly sales and the number of competitors in the area are zero.
b₁: 15.03 represents the variation in the estimated average annual sales when the monthly rent increases $1000 and all other variables remain constant.
b₂: 0.17 represents the variation in the estimated average annual sales when the inventory expenses increase $1000 and all other variables remain constant.
b₃: 12.23 represents the variation in the estimated average annual sales when the advertisement expenses increase $1000 and all other variables remain constant.
b₄: 14.29 represents the variation in the estimated average annual sales when the monthly sales increase $1000 and all other variables remain constant.
b₅: -2.96 represents the variation in the estimated average annual sales when the number of competitors in the area increase in one unit and all other variables remain constant.
<u />
I hope this helps!
Answer:
Step-by-step explanation:
The formula of a slope:
We have two points (-6, -8) and (-14, 4).
Substitute