What is the surface area of 4ft 17ft and 14ft
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What number is bigger 5.8 tenths or 0.58
A container holds 5L of fluid. Does it hold more than or less than 500mL of fluid
Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation6x - y/2 = 14?•(-9, 3) is a solution to the equation.(2, - 4) is a solution to the equation.Neither ordered pair is a solution.Both ordered pairs are solutions.
Suppose k and l are fixed numbers. Since the following are lines with different slopes, the graphs of the two lines y=18x+k and y=5x+l must always intersect somewhere. Find a formula, using k and l, for the intersection point. Please say how you found the formula. Thanks.
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The perimeter of the rectangle is 34 1/8 inches. To find it, you converted the mixed number dimensions to improper fractions, used the perimeter formula, and simplified the result to a mixed number.
To find the perimeter of a rectangle, you can use the formula P = 2(l + w), where P represents the perimeter, l is the length, and w is the width.
In this case, the length of the rectangle is 10 3/16 inches, and the width is 6 7/8 inches. To add mixed numbers, first convert them to improper fractions for easier calculation.
Length:
10 3/16 = (10 * 16 + 3) / 16 = 163/16 inches
Width:
6 7/8 = (6 * 8 + 7) / 8 = 55/8 inches
Now, plug these values into the formula:
P = 2(163/16 + 55/8)
Now, find a common denominator, which is 16:
P = 2((163/16) + (110/16))
Now, add the fractions:
P = 2(273/16)
Multiply the sum by 2:
P = (2 * 273)/16 = 546/16
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
P = (546/2)/(16/2) = 273/8
So, the perimeter of the rectangle is 273/8 inches. To express it as a mixed number:
273/8 = 34 1/8 inches
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8g^2 + 3g − 4, the rate that the pool is filled, and 9g^2 − 2g − 5, the rate that water leaves the pool, where g represents the number of gallons entering
or leaving the pool per minute.
a. Write an expression that determines the height of the water in the pool.
b. What will be the height of the water if g = 1, 2, 3, and 4?
c. To the nearest tenth, at which value for g will the water reach its
greatest height? Explain.
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b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
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Answer:
55 large boxes and 70 small boxes
Step-by-step explanation:
We understand that there are two unknowns in this problem: the number of large boxes and the number of small boxes.
Let's identify with the letter L the number of large boxes that are transported, and with the letter S the number of small boxes, so we can easily identify the unknowns when writing and reading our equations and final answers.
Set up two equations:
1) one for the total weight of the boxes being transported (which should add up to 4700 pounds), and considering that we have "L" number of large boxes (each one 60 pound weight), and "S" number of boxes (each one 20 pound weight):
60 * L + 20 * S = 4700
2) another equation for the total number of boxes (125) which should be addition of L large boxes and S small ones:
L + S = 125
Now solve for one of the unknowns (let's say for example "S") in the easy second equation we wrote:
S = 125 - L
Now use this expression for "S" (to replace it in terms of L) in the first (more complex) equation:
60 * L + 20 * (125-L) = 4700
Now apply distributive property to remove the parenthesis on the second term on the left of the equation:
60 * L + 2500 - 20 * L = 4700
subtract 2500 from both sides (to group all numerical terms on the right hand side):
60 * L - 20 * L = 4700-2500= 2200
combine the like terms 60L and -20L:
40 * L = 2200
now divide both sides by 40 to solve for L
therefore: L = 2200 / 40 = 55
There are 55 large boxes.
Now to find the number of small boxes, we use this result: "L=55" in the second (simple/easy) equation we created:
S = 125 - L = 70
Therefore, there are 70 small boxes.
If a cross section of the block is cut perpendicular to the base and passes through the top vertex of the pyramid, which of the following shapes describes the cross section?
Triangle
Rectangle
Trapezoid
Hexagon
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The green dashed line is the shape of the cross section. It is a triangle because that side of the pyramid will have three sides when cut through the middle.
Answer:
The answer is a triangle.
Step-by-step explanation:
Which statement about the function is true?
The function is positive for all real values of x where
x>-4.
The function is negative for all real values of x where
6The function is positive for all real values of x where
X<-6 or x>-3.
The function is negative for all real values of x where
X<-.
+
4
6
x
+
+
+
+
+
+
Mark this and return
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Answer: the answer is B
explanation:
I got it right