The lower bound estimate and upper bound estimate are found by rounding 764 to 700 and 241 to 200, then subtracting to get 500. However, the mistake in the options seems that both the lower and upper bound estimates are 500. Based on the given options, the right answer should be option C with lower bound 500 and upper bound 600, albeit the upper bound estimate is not correctly represented.
Explanation:The lower bound and upper bound estimate of a calculation are found by rounding each number involved to the greatest place value then performing the calculation. In the case of the subtraction 764 - 241, the lower bound estimate will be calculated by underestimating both figures, and the upper bound will be calculated by overestimating.
Round down 764 to 700 and 241 to 200, then subtract: 700 - 200 = 500.Round up 764 to 800 and 241 to 300, then subtract: 800 - 300 = 500.Therefore, both the lower bound estimate and the upper bound estimate are 500 and the correct option is C. lower bound 500 upper bound 600
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Use the table below of the function f(x)=x4-2x3 to answer this question
X F(x)
-1 3
0 0
1 -1
2 0
3 27
What is the average rate of change from x=-1 to x=2? -3, -1, 1, 24
The average rate of change of the given function from x = -1 to x = 2 is -1.
The average rate of change of a function between two points, x = a and x = b, is calculated as the difference in the function values at these points divided by the difference in x-values, which is similar to the slope formula for a linear function (gradient).
In this case, we are looking for the average rate of change of f(x) = x^4 - 2x^3 from x = -1 to x = 2. Using the table provided:
f(-1) = 3
f(2) = 0
So, the average rate of change is:
(f(2) - f(-1)) / (2 - (-1)) = (0 - 3) / (2 - (-1)) = (-3) / 3 = -1.
What is the simplified form of this expression?
If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree?
Which of the following proportions could not be used to solve the problem?
a: 14/1.8=x/4
b: x/14=1.8/4
c: x/1.8=14/4
Answer: [tex]\frac{x}{14}=\frac{1.8}{4}[/tex]
Step-by-step explanation:
Let 'x' be the height of tree.
The length of shadow of a tree = 14 m
The length of shadow of a person =4 m
The height of person = 1.8 m
Since both man and tree are standing vertical to the ground.
Assume the formation of shadow is happening at the same time then the angle that the sun hits the earth making shadows of both person and tree will be equal.
By direct proportion , we have
[tex]\frac{\text{height of tree}}{\text{length of shadow of tree }}=\frac{\text{height of person}}{\text{length of shadow of person}}\\\\\Rightarrow\frac{x}{14}=\frac{1.8}{4}[/tex]
The correct answer would be:
14/1.8 = x/4
I just finished with that assignment and it said it was correct :-)
Is 12,000,000 the standard form of 1.2 times 10 to the negative 7 power?
Please help geometry !
Write an equation that is linear but not standard form
Answer:
what she said is write so use it
Step-by-step explanation:
A linear equation not in standard form can be represented as y = mx + b, where 'm' is the slope and 'b' is the y-intercept. An example is y = 0.5x + 3, which graphs as a straight line with a slope of 0.5 and crossing the y-axis at the point (0, 3).
A linear equation that is not in standard form could be written as y = mx + b. This form is known as the slope-intercept form of a linear equation, where m represents the slope of the line and b represents the y-intercept, the point where the line crosses the y-axis. For example, if we choose a slope of 0.5 and a y-intercept of 3, the equation would be y = 0.5x + 3.
HELP!!! PLZ HELP!!!
The graph above shows 3 enzymes and their activity at different pH levels.
What is the optimal pH for the enzyme Salivary Amylase?
Use evidence from the graph to support your answer.
The optimal pH for Salivary Amylase is 6.9, which supports its maximum activity in the slightly acidic environment of the mouth before the food enters the stomach.
Explanation:The optimal pH for the enzyme Salivary Amylase is 6.9. This optimal pH allows the enzyme to exhibit its maximum catalytic activity. Enzyme activity typically increases with pH up to their optimal point and then decreases with further deviation from this optimum. As enzymes are affected by the environment they are in, Salivary Amylase, which is present in the mouth, functions best at a slightly acidic pH of 6.9, before the food moves to the more acidic environment of the stomach.
The graph shows the activity of different enzymes at different pH levels. To determine the optimal pH for Salivary Amylase, we need to look for the pH value at which the activity is highest for this specific enzyme. From the graph, we can see that the enzyme's activity is highest at pH 7-7.5, which corresponds to its optimal pH. This indicates that Salivary Amylase works most efficiently at a slightly acidic pH.
The optimal pH for the enzyme Salivary Amylase is around 6.9. It breaks down cooked starch into maltose in the mouth, but its activity is deactivated in the stomach.
Explanation:The optimal pH for the enzyme Salivary Amylase is around 6.9, as indicated in the information provided. Salivary amylase is responsible for breaking down cooked starch into maltose in the mouth. However, its activity is deactivated in the stomach due to the presence of hydrochloric acid (HCl) and the activation of pepsinogen to pepsin.
What is another name for plane X?
Plane X in this scenario represents a mathematical concept in statistics. It illustrates the mean number of unoccupied seats from a sample of 225 flights. Therefore, it could also be referred to as 'the mean plane' or 'the plane of unoccupied seats'.
Explanation:In this context, plane X represents a mathematical term commonly used in statistical analysis. It is a hypothetical plane used to denote a statistical value, in this case, the mean number of unoccupied seats from a sample of 225 flights.
So, another name for plane X could be 'the mean plane' or 'the plane of unoccupied seats' to specifically denote the statistical property it represents in this problem. Remember, this is not a physical plane but a concept employed in statistics to help comprehend and visualize data.
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what is the answer to qx + x = r
The value of x in the equation qx + x = r can be found by combining like terms and then isolating x. The solution is x = r / (q+1).
Explanation:The equation given is qx + x = r. This equation belongs to the domain of algebra and can be simplified using the principles of solving linear equations. Let's work step-by-step to evaluate the solution to this equation:
First, we can combine like terms on the left side, meaning we can add qx and x together since they are similar terms. By factoring out x, we get x(q + 1) = r. Then, in order to solve for x, we have to divide r by the sum of q + 1. The resulting equation is x = r / (q + 1).That is the solution to the equation.
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Which operation should be performed first for calculations involving more than one arithmetic operation?
parentheses
exponents
multiplication
division
In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction.
In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
In addition to this, the operations within the parentheses should be ideally performed first. it must be then followed by exponents, then multiplication and division, and finally addition and subtraction.
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If x represents the width of a rectangle and if its length is twice its width how long is the rectangle
If x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that x represents the width of a rectangle.
Length is twice its width
Length=2width
Length=2x
Length is nothing but how long the rectangle.
As the width of rectangle is x and length is 2x.
The area of rectangle is length times of width
Area of rectangle=Length×Width
=2x×x
=2x²
Hence, x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.
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Please help with this problem.
AC = 19, AB= x +9 and BC= x + 12 Find x
The ratio of the number of boy campers to the number of girl campers with 8 to 7. If there were a total of 195 campers, how many boy campers were there? How many girl campers?
an object falls d meters in t seconds. what is the independent variable
Sheila is now 15 years older than her younger brother sanjay.ten years from now,sheila will be twice as old as sanjay.find the present age of each of them
A stadium has 20,000 reserved seats and 25,000 general admission seats. If reserved seats are $17.50 and general admission seats are $10.75, how much money would be taken in if tickets for all the seats were sold?
5. Triangle ABC is a right triangle with CD and AB angle C is a right triangle.
By the ,(.......) △ACB∼△ADC and △ACB∼△CDB. Since similar triangles have (........) sides, BCBA=BDBC and ACAB=ADAC . Using cross multiplication gives the equations (BC)2=(BD)(BA) and (AC)2=(AD)(AB). Adding these together gives (BC)2+(AC)2=(BD)(BA)+(AD)(AB). Factoring out the common segment gives (BC)2+(AC)2=(AB)(BD+AD). Using (........) gives (BC)2+(AC)2=(AB)(AB), which simplifies to (BC)2+(AC)2=(AB)2 .
First paranthese
SAS or AAS or SSS
Second paranthese
Congruent or proportional
Third paranthese
SA or CPCTC
Answer:
AAS
Proportional
Segment Addition Postulate
Step-by-step explanation:
Confirming that the other answer on here is correct! :D
The width of a rectangle is 12 centimeters more than the length the perimeter is 68 centimeters find the
Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
you don't list the options but it should look something like this:
68=2L+2(9)
What is the greatest common factor for 200 and 205
Algebra 1: Factoring Polynomials Factor the common factor out of each expression: 40n^4m^2+40n^3m^3-32n^3
What is algebra? Why does algebra used for?
A company sold 160 units in the last quarter of the year. Which of the following graphs represents the company's sales performance?
The question does not provide specific graphs to choose from for the company's sales performance. Nonetheless, a correct graph would show a point at 160 units for the last quarter of the year.
Explanation:Unfortunately, the question as presented does not include any graphs to choose from. Ideally, the correct graph would have the last quarter of the year on the x-axis and the number of units sold on the y-axis. It would display a single point at 160 units for the last quarter. However, without specific graphs to choose from, a more detailed answer cannot be provided.
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The graph which represents the company's sales performance is graph B.
Which of the following graphs represents the company's sales performance?
The last quarter of the year begins October 1st and ends December 31st.
Total units sold by the company in the last quarter of the year = 160 units
Graph 1:
October = 40 units
November = 60 units
December = 40 units
Total = 140 units
Graph 2:
October = 40 units
November = 65 units
December = 55 units
Total = 160 units
Graph 3:
October = 40 units
November = 50 units
December = 50 units
Total = 140 units
Graph 4:
October = 40 units
November = 60 units
December = 50 units
Total = 150 units
Therefore, last quarter of the year in graph B represents the company's sales.
The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?
The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1996.
Simplify the expression.
(1/4)^(-3/2)
Please show how to do the problem.
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −13−13, ordered pair: (−1,−3)(−1,−3)
What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)?
Answer:
The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n +7
Step-by-step explanation:
The given expression is (m + n + 3) + (m + n + 4)
we need to find the sum of this expression
so, first we add the similar terms
m + n + 3 + m + n + 4
first write the like term together and then constant,
⇒ m + m + n + n +3 + 4
⇒ 2m + 2n +3 + 4
⇒ 2m + 2n +7
Therefore, The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n +7
The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation.
Answer:
6.5 x 10∧6 is the answer.
Step-by-step explanation: