Answers
The coordinates of the points in the table indicates that the coordinates of the image following the reflections, can be presented on the coordinate plane as shown in the attached graph created with MS Excel.
What is a reflection transformation?A reflection transformation is one in which the mirror image of the preimage is created across a line of reflection.
The coordinate points of the image after the specified reflections can be presented as follows;
Original \({}\)Reflection across the x-axis Reflection across the y-axis y = -x
(0, 15) \({}\) (0, -15) (0, 15) (-15, 0)
(1, 15) \({}\) (1, -15) (-1, 15) (-15, -1)
(1, 13) \({}\) (1, -13) (-1, 13) (-13, -1)
(3, 15) \({}\) (3, -15) (-3, 15) (-15, -3)
(3, 12) \({}\) (3, -12) (-3, 12) (-12, -3)
(1, 10) \({}\) (1, -10) (-1, 10) (-10, -1)
(1, 8) \({}\) (1, -8) (-1, 8) (-8, -1)
(3, 10) \({}\)(3, -10) (-3, 10) (-10, -3)
(3, 7) \({}\) (3, -7) (-3, 7) (-7, -3)
(1, 5) \({}\) (1, -5) (-1, 5) (-5, -1)
(1, 2) \({}\) (1, -2) (-1, 2) (-2, -1)
(4, 4) \({}\) (4, -4) (-4, 4) (-4, -4)
(5, 7) \({}\) (-5, 7) (5, -7) (-7, -5)
(7, 8) \({}\) (7, -8) (-7, 8) (-8, -7)
(6, 5) \({}\) (6, -5) (-6, 5) (-5, -6)
(8, 6) \({}\) (8, -6) (-8, 6) (-6, -8)
(9, 9) \({}\) (9, -9) (-9, 9) (-9, -9)
(11, 10) \({}\) (11, -10) (-11, 10) (-10, -11)
(10, 7) \({}\) (10, -7) (-10, 7) (-7, -10)
(12, 8) \({}\) (12, -8) (-12, 8) (-8, -12)
(13, 6) \({}\) (13, -6) (-13, 6) (-6, -13)
(11, 5) \({}\) (11, -5) (-11, 5) (-5, -11)
(14, 4) \({}\) (14, -4) \({}\) (-14, 4) (-4, -14)
(12, 3) \({}\) (12, -3) (-12, 3) (-3, -12)
(9, 4) \({}\) (9, -4) (-9, 4) (-4, -9)
(7, 3) \({}\) (7, -3) (-7, 3) (-3, -7)
(10, 2) \({}\) (10, -2) (-10, 2) (-2, -10)
(8, 1) \({}\) (8, -1) (-8, 1) (-1, -8)
(5, 2) \({}\) (5, -2) (-5, 2) (-2, -5)
(2, 0) \({}\) (2, 0) (-2, 0) (0, -2)
The above coordinate points can be used to plot the graphs showing the image of the points following the specified reflections across the x-, y-, and y = -x, axis.
Please find attached the required graph of the coordinate points following the reflection transformations, created with MS Excel.
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Related Questions
If X is a random number in the interval (0, 2) and Y a random number in the interval (0,4], what is the probability that X?
Answers
If X is a random number in the interval (0, 2) and Y a random number in the interval (0,4], the probability that X² < Y is 8/3, expressed as an irreducible fraction.
To find the probability that X² < Y, we need to determine the area of the region in the (X, Y) plane where this inequality holds true.
The given intervals for X and Y can be represented as:
0 < X < 2
0 < Y ≤ 4
Since Y can take any value between 0 and 4, we are interested in the shaded area between the parabolic curve X² and the line Y = 4.
Calculating the area of this shaded region is equivalent to finding the probability that X² < Y.
By geometric reasoning, we can determine that the area of this region is 8/3.
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Part A
Victoria and Max are making friendship necklaces. They need 2 feet of string and 5 glass beads
to make each necklace.
• Victoria has $15 to purchase the string.
• A roll of 120 feet of string costs $5.99.
• Max has $36 to purchase the glass beads.
• A pack of 50 glass beads costs $3.69
Part B
If Victoria buys as much string as she can, and Max buys as many beads as he can, how much
money will each have left over? Assume there is no tax. Show your work or explain your
answer.
Answers
Answer:
Victoria will have 3 dollars left and max wil have 2.79 cents left
Step-by-step explanation:
3.69 x 10 is 36.9 and max only has 36 dollars so change the 10 to a 9 and then subtract 36 - 33.21 which is the answer for 3.69x9. and victoria can only buy 2 120ft of string which would be 11. 98 cents
express 10000 in Index form
Answers
Answer:
10^4
Step-by-step explanation:
10×10×10×10=10,000, which is given number.
After a 20% tip, you pay alwaitress $72. What was the original bill?
Answers
Answer:
$57.60
Step-by-step explanation:
20% of 72 which is 14.40.
72-14.40=57.60
Hopefully this is right, if this is wrong, please comment and let me know.
-MathWizard
variables that indicate the distance a target is from the level achieved are called
Answers
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.
Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.
These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.
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what is a congruent polygon
Answers
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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what is the ratio related on the picture
Answers
The ratio of smiley face to triangle is 5/2. The ratio of smiley face to square is 5/4. The ratio of triangle to smiley face is 2/5. The ratio of triangle to square is 2/4. The ratio of square to smiley face is 4/5.
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio refers to the relationship between a particular group and the entire.
The ratio of smiley face to triangle is 5/2.
The ratio of smiley face to square is 5/4.
The ratio of triangle to smiley face is 2/5.
The ratio of triangle to square is 2/4.
The ratio of square to smiley face is 4/5.
The ratio of square to triangle is 4/2.
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Which value for x makes the sentence true?
3/4x + 4 = 7
Answers
Answer:
(x) = 4
Step-by-step explanation:
3/4 (x) + 4 = 7
3/4 (4) + 4 = 7
0.75 (4) + 4 = 7
3 + 4 = 7
7 = 7
decide whether enough information is given to prove that $\triangle abc\cong\triangle dbe$ using the sss congruence theorem. explain. two triangles, triangle a c b and triangle d e b that share a common vertex b. point b is on the segment a d. in triangle a c b, side a c is marked with single tick, side b c is marked with double ticks and side a b is marked with three ticks. in triangle d e b, side d e is marked with single tick, side b e is marked with double ticks and side b d is marked with three ticks.put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse.you are given that $\overline{ab}\cong$ response area, $\overline{bc}\cong$ response area, and $\overline{ac}\cong$ response area. so, the triangles response area be proven congruent using the sss congruence theorem.
Answers
No, enough information is not given to prove that triangles are congruent using the SSS congruence theorem.
The SSS congruence theorem expresses that assuming in two triangles, three sides of one are consistent to three sides of the other, then, at that point, the two triangles are said to be congruent.
Now, we are given that triangle ACB and triangle DEB that share a common vertex b. So, both triangles share a common side. So, one side is same for both of triangles.
From the diagram, we can see that both triangles opposite side are equal. So, second side is equal for both of triangles.
Now, from the diagram, we can see that both triangles vertically opposite angles are equal. So, we have two sides equal and one angle is equal.
So, given triangle is proved to congruent by SAS congruency not by SSS congruency.
Hence, enough information is not given.
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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(Pls help)sally states that the equation g(x)= x^3 + 10^2 - 3x represents a quadratic function. Explain why she is incorrect.
Answers
a writer wrote 10,010 words for his book on the first day of writing. he wrote 9,760 words on the second day, 9,510 words on the third day, and continued this way in an arithmetic sequence. write an explicit rule showing the equation for the number of words the writer would write on the 14th day, and solve.
Answers
Answer:
rule: an = 10010 -250(n -1)day 14: 6760 wordsStep-by-step explanation:
The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.
Formula for Arithmetic SequenceThe explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...
\(a_n=a_1+d(n-1)\)
ApplicationFor first term a₁ = 10010 and common difference d = -250, the explicit rule is ...
\(a_n=10010-250(n-1)\)
On day 14, n=14, and the number of words written is ...
\(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)
The writer would write 6760 words on the 14th day.
An entomologist writes an article in a scientific journal which claims that fewer than 17 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Answers
The entomologist conducted a hypothesis test regarding the proportion of male fireflies unable to produce light due to a genetic mutation. After conducting the test, the null hypothesis was rejected.
Hypothesis testing is a statistical method used to evaluate claims or hypotheses based on sample data. In this case, the entomologist aimed to investigate the proportion of male fireflies affected by a genetic mutation that prevents them from producing light. The claim made in the journal was that the proportion is fewer than 17 in ten thousand.
The entomologist conducted the hypothesis test by formulating null and alternative hypotheses. The null hypothesis assumed that the proportion of affected male fireflies is equal to or greater than 17 in ten thousand, while the alternative hypothesis suggested that the proportion is indeed lower than 17 in ten thousand.
Using sample data, the entomologist analyzed the data and calculated the test statistic and its corresponding p-value. The p-value represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
If the p-value is smaller than the chosen significance level (α), typically 0.05 or 0.01, the null hypothesis is rejected in favor of the alternative hypothesis. In this scenario, the entomologist concluded that the null hypothesis should be rejected, providing evidence to support the claim made in the scientific journal.
Therefore, based on the hypothesis test results, the entomologist's conclusion in non-technical terms would be that there is sufficient evidence to suggest that fewer than 17 in ten thousand male fireflies are unable to produce light due to the genetic mutation.
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Which table shows a proportional relationship between x and y?
Answers
Answer:
The 2nd table.
Step-by-step explanation:
It is the only one that makes sense.
Please mark me brainliest I need it!!!!
PLEASE HELO ME I NEED HDLP PLEASE
Answers
Answer:
what's that 120 which angle is that
Step-by-step explanation:
Triangle AGB has Angle AGB = 120° and AG = GB. (given)
Since it is isosceles, x = (180° - 120°)/2 = 30°.
The cone-shaped paper cup in Problem 2 is only half filled with water. So, the height of the water is 6cm and a diameter of the top surface of the water of 4cm. Calculate the volume of water. Use 3.14 for the value of pi.
Answers
The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.
To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Given:
Height of water (h) = 6 cm
Diameter of the top surface of water (2r) = 4 cm
First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:
r = 4 cm / 2 = 2 cm
Now we can substitute the values into the volume formula and calculate the volume of water:
V = (1/3) * 3.14 * (2 cm)^2 * 6 cm
V = (1/3) * 3.14 * 4 cm^2 * 6 cm
V = (1/3) * 3.14 * 24 cm^3
V = 25.12 cm^3.
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Which expression is equivalent to x + 4x
Answers
Answer: 5x
Step-by-step explanation:
jorje wants to estimate the percentage of people who play sports. he surveys 330 individuals and finds that 65 play sport. find the margin of error for the confidence interval for the population proportion with a 95% confidence level.
Answers
The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207
How to find the margin of errorfinding the percentage of 65 of 330 individuals
65 / 330 * 100 = 19.697% = 0.19697
number of samples, n = 330
standard deviation, σ is calculated from
= √{(p(1 - p)) / n}
= √{(0.197 * (1 - 19.7)) / 330}
= √{(0.197 * (0.803)) / 330}
= 0.022
Margin of error, E
= Z(0.95) * σ/√(n)
= 0.171 * 0.022/√(330)
= 0.171 * √(0.022²/330)
= 0.000207
= 0.021%
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A family starts from home and drive to national park the expression 245 - 55T represent the distance in miles. The family still needs to drive after T hours. What does the 55 in the expression represent
Answers
The number 55 represents the speed of the car in miles per hour.
In the expression 245 - 55T, the number 55 represents the speed of the car in miles per hour.
To see why, consider the formula for distance, which is:
distance = speed x time
In this case, the distance is given by 245 - 55T, where T is the time in hours that the family has been driving. We can rearrange this formula to get:
speed = distance / time
Substituting the expression for distance, we get:
speed = (245 - 55T) / T
Simplifying this expression, we get:
speed = 245/T - 55
This shows that the speed of the car is given by 245 divided by the time in hours plus a constant of -55. Therefore, the number 55 represents the speed of the car in miles per hour.
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A book is on sale for $6 off of the regular $24 price. Whet percent is the discount? [Type your answer as a number]
%
Please help
Answers
Answer:
The answer should be 25% off
Step-by-step explanation:
sorry if wrong
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
Answers
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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What is 6 divided by 3/5 in Khan academy?
Answers
Answer:
10
Step-by-step explanation:
6*5/3 = 30/3
simplify 30/3 = 10
High Hopes
Barrii
A car travel 1/8 mile in 2/13 min what is its speed per min?
Answers
The speed of the car is 13/16 mile per minute.
To find the speed of the car per minute, we need to divide the distance traveled by the time taken.
Given that the car traveled 1/8 mile in 2/13 minutes, we can calculate the speed as follows:
Speed = Distance / Time
Speed = (1/8 mile) / (2/13 min)
To divide by a fraction, we can multiply by the reciprocal:
Speed = (1/8 mile) * (13/2 min)
Simplifying the expression:
Speed = (1 * 13) / (8 * 2) mile/min
Speed = 13/16 mile/min
Therefore, the speed of the car is 13/16 mile per minute.
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workout the following:8y3×2y2
Answers
Answer:
16y^5
Step-by-step explanation:
hope this helps with the work
Answer:
the answer is 16\(y^{5}\)
Step-by-step explanation:
a sphere has a radius of 6 centimeters. what is the volume of the sphere?
Answers
Question
A sphere has a radius of 6 centimeters. What is the volume of the sphere
Given:
r = 6 cm
Formula:
V = (4/3)πr
Solution:
V = (4/3)πr
V = (4/3)(3.14)(6)
V = 25.12 cm³
Final Answer:
25.12 cm³
Find the minimum value of the function f(x) =0. 9x2+3. 4x-2. 4
Answers
The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.
Let's consider the equation of a function.
f(x) = \(0.9x^{2} + 3.4x -2.4\)
Now, divide each and every element and assume that a, b, and c are coefficients of the function given.
a: 0.9
b: 3.4
c: -2.4
The sign of the coefficient of a determines the exposure of the parabola. Since a > 0, the parabola is open upwards and has a minimum value.
We can find the "x" of the vertex using the following expression.
x(v) = -b/2a = -3.4/(0.9)
x(v) = -3.77
We can find the "y" of the vertex by replacing this x in the equation
y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4
y(v) = -2.42
The minimum value of the function is -3.77
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What are the solutions for the following system of equations?
-x² + 3y = 20
3x² + 6y = 60
O(-2, 8) and (2,8)
O(-2, 8) and (0, 10)
O (2,8) and (0, 10)
O (0, -10) and (0, 10)
Answers
Answer: (-2,8) and (2,8)
For solving the given equations we will elimination method
This method involves removing variables from the equations. Variables are removed successively until only a single last variable is left, i.e. until there is one equation with one unknown. This equation is then solved for the one unknown. The solution is then used in finding the second to last variable. The procedure is repeated by adding back variables as their solutions are found.
-x2 + 3y = 20 ……..(1)
3x2 + 6y = 60 ……………. (2)
Step -1 : Multiply the first equation by 3 this gives:
-3x2 + 9y = 60 …….(3)
3x2 + 6y = 60 ………….(2)
Step- 2 : Add the two equations. This gives
15y = 120
y = 8
Step – 3 : Solve for x in either of the original equations
-x2 + 3(8) = 20
-x2 + 24 = 20
x2 = 4
x = +2, -2
hence the solutions of the given equations are (2,8) and (-2,8)
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Find the curvature of r(t) =< t^2,ln t,t ln t > at the point
Answers
To find the curvature of the curve defined by the vector function r(t) = < t^2, ln(t), t ln(t) > at a given point, we need to calculate the curvature using the formula:
κ = |dT/ds| / ||dT/ds||,
where dT/ds is the unit tangent vector and ||dT/ds|| is its magnitude.
Let's proceed with the calculations:
Step 1: Find the first derivative of r(t) to get the tangent vector T(t):
r'(t) = < 2t, 1/t, ln(t) + t/t > = < 2t, 1/t, ln(t) + 1 >.
Step 2: Calculate the magnitude of the tangent vector:
||r'(t)|| = sqrt((2t)^2 + (1/t)^2 + (ln(t) + 1)^2)
= sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1).
Step 3: Differentiate r'(t) to find the second derivative:
r''(t) = < 2, -1/t^2, 1/t + 2/t > = < 2, -1/t^2, (t + 2)/t >.
Step 4: Calculate the magnitude of the second derivative:
||r''(t)|| = sqrt(2^2 + (-1/t^2)^2 + ((t + 2)/t)^2)
= sqrt(4 + 1/t^4 + (t^2 + 4t + 4)/t^2)
= sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2).
Step 5: Calculate the curvature:
κ = |dT/ds| / ||dT/ds||
= (||r'(t)|| / ||r''(t)||^3)
= ((sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1)) / (sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2))^3).
To find the curvature at a specific point, substitute the value of t into the expression for κ.
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The perimeter of a table is 100 cm the width of the table is 6 cm less than its length what is the length of the table
Answers
The perimeter of a table is 100 cm and the width of the table is 6 cm less than its length. We need to find the length of the table.
According to the given information, the width of the table is 6 cm less than its length, so the width can be expressed as "x - 6" cm. The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is 100 cm. So, we can set up the equation: 2(length) + 2(width) = perimeter Substituting the values, we have: 2(x) + 2(x - 6) = 100
Simplifying the equation, we get:
2x + 2x - 12 = 100
4x - 12 = 100
4x = 100 + 12
4x = 112 To solve for x, we divide both sides of the equation by 4:
x = 112/4
x = 28 Therefore, the length of the table is 28 cm.
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Convert this number into scientific notation: 0.068
Answers
Step-by-step explanation:
0.068 in scientific notation is 6.8 * 10^-2.
The given number 0.068 in scientific notation is \(6.8 \times 10^{-2}\).
The given digit is 0.068.
Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of decimal places you moved. In this case, we move the decimal point two places to the right.
0.068 becomes 6.8
Write the number in the form of a decimal number between 1 and 10, multiplied by 10 raised to the power of the count of decimal places we moved.
6.8 can be written as \(6.8 \times 10^{-2}\)
Simplify, if possible. In this case, we can express 6.8 as \(6.8 \times 10^{-2}\) since it is already in a simple form.
Therefore, the number 0.068 in scientific notation is \(6.8 \times 10^{-2}\).
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