What is the average rate of change of the function on the interval from x = 1 to x = 2?
f(x)=10(5.5)x
x=1 f = 10(5.5)(1) = 55
x=2, f = 10(5.5)(2) = 110
110-55 = 55
2-1 =1
55/1 = 55
average rate of change = 55
if there are four people and two of the are zombies,then there are a 100 people how many are zombies
Given points A(1, 3) and B (3, 7), which of the following represents the distance of AB
√116
√6
√14
√20
Write the quadratic function with the following transformations: vertical shrink by 3, left 4, down 9.
There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of milk from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?
Answer:
4.8 gallons in the first container, 2.4 in the second container.
Find -8 ÷ 1/2 =
a.1/16
b.16
c.-1/4
d. -4
Simplify the square root of 16x^6th power
A cube with a volume of 64 cubic meters is scaled by a factor of .5 what is the volume of the modified cube in cubic meters/7472968/c841b5e8?utm_source=registration
Answer:
8000 is correct answer
Step-by-step explanation:
You know the whole and one part you can blank to find the other part sum or subtract
We can find the other part by subtracting the known part from the whole.
If we know the whole and one part, we can find the missing part by subtracting the known part from the whole.
Suppose we have a whole number of 12 and we know one part is 5.
To find the other part:
12 - 5 = 7
So, in this case, the missing part will be 7.
Therefore, we can find the other part by subtracting the known part from the whole.
What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ?
Enter your answer in the box.
Answer:
[tex]\frac{2}{3}[/tex] is the Slope of a line that is perpendicular to a given line equation -2y=3x+7
Step-by-step explanation:
We are given here with the equation of the line [tex]-2y=3x+7[/tex] or we can write this equation as [tex]y=\frac{-3}{2}x+\frac{-7}{2}[/tex]
the general equation of the line [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Compare the given equation with general equation we get,
the value of slope(m) [tex]=\frac{-3}{2}[/tex]
The slope of line perpendicular to a line is, [tex]m_{perpendicular}=\frac{-1}{m}[/tex]
Since, the slope of the given line is, m=[tex]\frac{-3}{2}[/tex]
then, [tex]m_{perpendicular}=\frac{-1}{\frac{-3}{2} }[/tex][tex]=\frac{2}{3}[/tex]
Therefore, the slope of a line that is perpendicular to a line whose equation is -2y=3x+7 is, [tex]\frac{2}{3}[/tex]
The slope of the line that is perpendicular to a line whose equation is -2y = 3x + 7 is 2/3.
For lines to be perpendicular to each other, the product of there slopes is equals to negative 1. This can be mathematically represented as follows
m₁ × m₂ = -1
where
m₁ and m₂ are slopes of the lines.
Therefore,
let's find the slope of the equation given
-2y = 3x + 7
divide both sides by -2
y = -3/2 x + 7/2
Using the slope equation model,
y = mx + c
where
m = slope
The slope in our equation will be - 3/2.
Using the first formula for perpendicular lines,
m₁ × m₂ = -1
-3/2 m₁= -1
m₁ = -2/-3
m₁ = 2/3
The slope of the line is 2/3
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Find an equation of the vertical line that passes through (x, y) = (−7, 1).
Find the unit price of ketchup c, which sells for $2.49 per 36 oz. bottle
What is the equation of a line perpendicular to the line 7x+4y=15+2x and passes through the point (0.5,0.5)?
you spend $46 on supplies to make wooden ornaments and play to sell the ornaments for $8.50 each. what are the possible numbers of ornaments that you can sell in order for your profit to be possible
Create an algebraic expression or equation that might model any of the behaviors you observe. Then, explain your reasoning.
The sum of three numbers is 50. one number is 10 more than the second number it’s also twice the third find the number
The three numbers will be 24, 14 and 12 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the sum of three numbers is 50 and first number is 10 more than the second number and it is also twice the third.
Assume that the three numbers are [x] , [y] and [z].
Then, we can write -
x + y + z = 50 ..[1]
x = y + 10 ..[2]
x = 2z ..[3]
Equating Eq [2] and Eq [3], we get -
2z = y + 10
Rearranging the equation above -
y = 2z - 10
Now, for Eq [1], we can write -
2z + z + y = 50
3z + y = 50
3z + 2z - 10 = 50
5z = 60
z = 12
Then, the value of [y] will be -
y = 2 x 12 - 10
y = 24 - 10
y = 14
and
x = 2z = 2 x 12 = 24
Therefore, the three numbers will be 24, 14 and 12 respectively.
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A company designs a box to package their product. The material used costs $0.112 per square foot. The box consists of a square bottom and isosceles triangles making up the sides. A net of the box is shown below.
How much would the material for 10,000 boxes cost?
which number line represents the solutions to |x+4|=2
The expression log 3 (x-4) is undefined for all values such that
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
Answer:
238
Step-by-step explanation:
A 16 -pound bag of Kitty Kibbles is $24.00 . An 8 -pound bag of Feline Flavor is $11.20 . Which statement about the unit prices is true?
Feline Flavor has a higher unit price of $1.40 /pound.
Kitty Kibbles has a higher unit price of $1.40 /pound.
Kitty Kibbles has a higher unit price of $1.50 /pound.
Feline Flavor has a higher unit price of $1.50 /pound.
The statement which is true about the unit price is:
Kitty Kibbles has a higher unit price of $1.50 /pound.Step-by-step explanation:A 16 -pound bag of Kitty Kibbles is $24.00 .i.e.
16 pound cost= $ 24
Hence,
cost of 1 pound= $ (24/16)
= $ 1.50
i.e. unit price of Kitty Kibbles is: $ 1.50
Also,An 8 -pound bag of Feline Flavor is $11.20
i.e. cost of 8 pound of Feline Flavor= $ 11.20
cost of 1 pound of Feline Flavor= $ (11.20/8)
= $ 1.40
Hence, unit price of Feline Flavor is: $ 1.40
BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!Am I correct?
ASA = Angle Side Angle so you need a pair of triangles that give you 2 angles and 1 side
the correct answer would be B
a major stadium has 45,000 seats. fans bought 5/8 of the seats. how many seats are left?
fans bought 5/8 so there is 3/8 still left
45000 * 3/8 = 16,875 seats are left
Lindsey has 45ft of metal fencing to form 3 sides of a rectangular garden. A tall wooden fence already in place will serve as the fourth side. What lengths of fencing will produce the largest area?
To maximize the area of a rectangular garden with one side already fenced, Lindsey should allocate the 45 ft of fencing available to form the remaining three sides in a way that makes the two lengths and the width as equal as possible. While an exact numerical answer depends on additional constraints, the guiding principle is that a more square-like configuration will yield the largest area.
Explanation:The question asks what lengths of fencing will produce the largest area for a rectangular garden, given that Lindsey has 45 ft of metal fencing and an existing tall wooden fence will serve as one side of the rectangle. To maximize the area enclosed by a given perimeter, which in this case is the length of the fencing available for three sides of the rectangle (since one side is already in place), it is beneficial to review a principle regarding geometric figures and their areas.
It is a well-established mathematical principle that of all rectangles with a given perimeter, the square has the largest area. However, since one side is already provided and Lindsey is forming only three sides of the rectangle, the problem slightly deviates from forming a perfect square. Nonetheless, the principle that more equidistant lengths result in larger areas can guide us to maximize the area Lindsey can enclose.
Lindsey has 45 ft of fencing to create three sides of a rectangle. For simplicity, let's denote the lengths of the two equal sides as L, and the length of the third side (parallel to the existing fence) as W. Since the total length of fencing is 45 ft, the equation we have is 2L + W = 45. To maximize the area (A = L*W), Lindsey should opt for dimensions where L and W are as close as possible to each other within the constraint of the given perimeter (or in this case, the total length of fencing available).
However, without additional constraints (like the length of the existing fence), a definitive numerical answer cannot be provided. The general advice for Lindsey is to distribute the length of the fencing as evenly as possible between the two lengths and the width she needs to create, thereby approximating a square's dimensions which tends to maximize the enclosed area.
A vendor sells hot dogs and bags of potato chips. a customer buys 2 hot dogs and 2 bags of potato chips for $6.50. another customer buys 5 hot dogs and 3 bags of potato chips for $14.25. find the cost of each item.
What does the greater than sign with the line under it mean?
Determine if the ordered pair is a solution of the equation. Is (0,0) a solution of y = x? options: True False
Answer:
I would say false since the number is 0 and it means nothing.
Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number
Take a look at the figure. What is the first step you should take to solve the formula?
A. Find the value of 6 squared. B. Cancel 6 into 6. C. Subtract 2 from 3. D. Multiply 3 by 6.
Which description matches the algebraic expression 45n
A.the sum of a number and 45
B. the quotient of a number and 45
C. the product of a number and 45
D. the difference of a number and 45
Answer: The correct description is (C). the product of a number and 45.
Step-by-step explanation: We are given to select the correct description that matches the algebraic expression 45n.
Let, 'n' be a number.
Then, the sum of 'n' and 45 is written as (45 + n).
So, option (A) is incorrect.
The quotient of 'n' and 45 is given by [tex]\dfrac{n}{45}~\textup{or}~\dfrac{45}{n}.[/tex]
So, option (B) is incorrect.
The product of 'n' and 45 is
45 × n = 45n, which means 45 times of a number 'n' or n times of 45.
So, option (C) is correct.
The difference of 'n' and 45 is (n - 45) or (45 - n), according as 'n' is greater or 45 is greater.
So, option (D) is incorrect.
Thus, the correct option is (C).