Which word phrase can you use to represent the algebraic expression 6y
Answers
C. The product of 6 and a number y.
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Which set of ordered pairs represents y as a function of x?{(2,-1), (4, -2), (6, -3), (8, -4)}{(0, 0), (1, 1), (1, 0), (2, 0)}{(3, 3), (3, 4), (4, 3), (4, 4)}{(1, -5), (1, 5), (2, -10), (2, -15)}
H(x)=(3x-5)^3Find f and g so that h(x) = ( f o g)(x). Neither function may be the identity function f (x) = x
0.83
0.35
0.02
Answers
P(S intersect LC) = P(S)*P(LC / S) = 0.19 * 0.158 = 0.03
Answers
Answer:
Step-by-step explanation:
To maximize the area of the two identical rectangular pens, we need to find the dimensions that will allow us to enclose the largest possible area using the given 480 feet of fencing.
Let's start by assigning variables to the dimensions of the rectangular pen. Let's say the length of the pen is "L" and the width is "W". Since the two pens share one wall, we can divide the available fencing equally between the two long sides and the two short sides.
The equation for the perimeter of a rectangle is: P = 2L + 2W.
In this case, we have two pens, so the total perimeter is 480 feet: 2L + 2W = 480.
We can simplify this equation by dividing both sides by 2: L + W = 240.
To maximize the area, we need to find the dimensions that satisfy this equation while maximizing the product of L and W, which represents the area.
Since the pens are identical, we can express one dimension in terms of the other. Let's solve the equation for L: L = 240 - W.
Now, substitute this expression for L in the equation for the area: A = L * W = (240 - W) * W.
To find the maximum area, we need to find the value of W that maximizes the expression (240 - W) * W.
One way to do this is by graphing the equation or using calculus, but since this is likely a high school-level problem, we can use the concept of symmetry.
Since the equation for the area is quadratic, the maximum area will occur at the midpoint of the symmetry axis. In this case, the symmetry axis is given by W = 240/2 = 120.
So, to maximize the area, each pen should have a width of 120 feet.
Substituting this value back into the equation for the perimeter, we can find the length of each pen: L + 120 = 240, L = 240 - 120 = 120.
Therefore, the dimensions of each pen that will maximize the area are 120 feet by 120 feet.
Keep in mind that this is just one possible answer, as there may be other valid dimensions that also maximize the area. However, for a symmetrical solution, both pens should have equal dimensions.
A) 10
B) 0.10
C) 100
D) 0.01
Answers
Final Answer:
A) One centimeter = 10millimeters.
Explanation:
One centimeter is equal to 10 millimeters. This can be determined by using the conversion factor of 1 centimeter = 10 millimeters. To convert centimeters to millimeters, you simply multiply the value in centimeters by the conversion factor.
For example, if you have 5 centimeters, you can convert it to millimeters by multiplying 5 by 10, which equals 50 millimeters. Similarly, if you have 2 centimeters, you would multiply 2 by 10 to get 20 millimeters.
The conversion from centimeters to millimeters is straightforward and involves a simple multiplication by 10. This is because there are 10 millimeters in 1 centimeter. So, each centimeter is equivalent to 10 millimeters.
So,One centimeter = 10 millimeters.Therefore,the correct option is A.
In summary, the conversion from centimeters to millimeters is achieved by multiplying the value in centimeters by the conversion factor of 10. This results in the final answer of one centimeter being equal to 10 millimeters.
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Answer:
One centimeter = 10 millimeters.
The correct answer is A.
Answers
The value of the problem is given by the equation A = 9
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( 3/4 ) of 12
Substituting the values in the equation , we get
A = ( 3/4 ) x 12
On simplifying , we get
A = 3 ( 4/12 )
A = 3 x 3
A = 9
Therefore , the value of the problem is 9
Hence , the equation is A = 9
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Answer:
multiply
Step-by-step explanation:
Answers
Multiply each side by 9/5 : 9/5 C = F - 32
Add 32 to each side: 9/5 C + 32 = F
c = 5/9f-160/9 /*9
9c=5f-160
5f-160=9c
5f=9c+160 /: 5
f = (9c+160)/5
Answers
Answer:
THere ya go
Step-by-step explanation: