The mathematical equation 'Twice the number n is no less than 10 units from -1' can be solved as two inequalities, yielding a solution of n ≤ -5.5 or n >= 4.5.
Explanation:This is a math problem asking about the absolute value inequality of an equation. The question states 'Twice the number n is no less than 10 units from -1'. This can be written as |2n + 1| >= 10. To solve it, we'll divide it into two inequalities: 2n + 1 >= 10 and -2n - 1 >= 10. Solving the first inequality yields n >= 4.5, and solving the second inequality yields n <= -5.5. Thus, the solution to the equation is n ≤ -5.5 or n >= 4.5.
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Please help geometry !
Name a pair of whole number factors whose product is 8
AC = 19, AB= x +9 and BC= x + 12 Find x
Let a and b be irrational numbers. Is (ab)^2 always rational, sometimes rational, or never rational?
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?
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 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 :-)
Which number line correctly shows 4.5 – 2.5?
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
[tex]4.5-2.5[/tex]
According to the number line,
First we go 4.5 units towards the positive axis of x from the origin.
And then back by 2.5 units from there towards the negative axis of x to show the subtraction.
So, it will interpretate the subtraction of 2.5 from 4.5.
Numerically, it is expressed as
4.5-2.5=2
So, It should reach at 2 in the positive axis of x.
Hence, First option is correct.
A number line that correctly shows 4.5 – 2.5 is: A. number line A.
What is a number line?In Mathematics and Geometry, a number line refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.
This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).
Based on the information provided above, we have:
4.5 - 2.5 = 2.
Solution = 2.
Therefore, number line A is the correct representation of 4.5 - 2.5 = 2.
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The width of a rectangle is 12 centimeters more than the length the perimeter is 68 centimeters find the
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
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)
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:
linear or nonlinear x-3y=10
What is the simplified form of this expression?
A certaint plant grows 1 and 1/6 inches every week.how long will it take the plant to grow 6 and 1/6 inches?
divide 6 1/6 by 1 1/6
6 1/6 = 37/6
1 1/6= 7/6
37/6 / 7/6 =
37/6 * 6/7 = 222/42 = 5 12/42 = 5 2/7 weeks
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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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
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.
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
Use a table to compute the product below. (8x2 - 2x - 5)(2x + 7) A. 16x3 + 60x2 - 24x - 35 B. 16x3 - 52x2 + 24x + 35 C. 16x3 + 52x2 - 35 D. 16x3 + 52x2 - 24x - 35 its D but thx yall bc you guys don't know how to help!!!
angles a and b are complementary if the measure of angle A is 27 degrees more than measure of angle b, what is the measure of angel b ?
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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Is 12,000,000 the standard form of 1.2 times 10 to the negative 7 power?
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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Algebra 1: Factoring Polynomials Factor the common factor out of each expression: 40n^4m^2+40n^3m^3-32n^3
What are the next 3 numbers in the number sequence? 5, 11, 18, 26, 35, 45, ? ? ?
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.
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.
The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?
What is algebra? Why does algebra used for?