The length of a rectangle is 8 units more than its width. The area of the rectangle can be expressed as x^4-16
Answers
The length of a rectangle exists 8 units more than its width. The area of the rectangle can be expressed as \($$x^4\) - 16 then the expression exists (x² + 4)(x + 2)(x - 2).
What is meant by expression?An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. One or more operands, one or more operators, and one or more pairs of parentheses create an expression.
Given
L = 8 + W
Area = \($$x^4\) - 16
An expression for the width
Area = \($$x^4\) - 16
Apply exponent rules
\($=\left(x^2\right)^2-4^2$$\)
Apply Difference of Two Squares Formula: x² - y² = (x + y)(x - y)
(x²)² - 4² = (x² + 4)(x² - 4)
Factor x²- 4 = (x + 2)(x - 2)
By simplifying the above equations, we get
= (x² + 4)(x + 2)(x - 2)
The length of a rectangle is 8 units more than its width. The area of the rectangle can be expressed as x^4-16. Which expression represents the width of the rectangle?
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Related Questions
Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.
Answers
The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.
Let's begin the iterations:
Iteration 1:
\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)
The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).
Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)
Iteration 2:
\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)
The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).
After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).
Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
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A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answers
Answer:
\( {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}\)
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
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Alexander uses cupric chloride to etch circuit boards. He recorded the room temperature, in °C, and the etching
jim
rate, in
of the cupric chloride.
min
After plotting his results, Alexander noticed that the relationship between the two variables was fairly linear, so
he used the data to calculate the following least squares regression equation for predicting the etching rate from
the room temperature:
= 2 + 5
1
-2
What is the residual if the room temperature was 25°C and the cupric chloride had an etching rate of 5
min
Answers
The residual if the room temperature was 25°C and the cupric chloride had an etching rate of 5 μm/min is equals to the -2 μm/min.
The residual for each observation in statistics is the difference between predicted values of y (dependent variable) and observed values of y. That is Residual= observed y value − predicted y.
Here, cupric chloride is used to etch circuit boards. The linear regression equation is, y = 2 + (1/5)x
where, x = temperature in °C
y = etching rate in μm/min
Observed value of etching rate of cupric chloride = 5 μm/min for 25°C
To determine the estimated or predicted value of etching rate of cupric chloride, we substite x = 25, in the above linear equation, y = 2 + (1/5)x
=> y = 2 + (1/5)× 25
=> y = 7
So, Predicted Value = 7 μm/min
Observed Value = 5 μm/min.
Residual = Observed Value - Predicted
= 5 - 7 = -2
Hence, required value is -2 μm/min.
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Complete question:
Calculating and interpreting residuals You might need: Calculator Alexander uses cupric chloride to etch circuit boards. He recorded the room temperature, in °C, and the etching rate, in μm/min of the cupric chloride. After plotting his results, Alexander noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the etching rate from the room temperature: y = 2 + 5/x, What is the residual if the room temperature was 25°C and the cupric chloride had an etching rate of 5 μm/min. ? Show Calculator
11. CHALLENGE PROBLEM What percent of the Penders' total monthly net income are the monthly living expenses and fixed expenses? What is the monthly share of annual expenses? Total your three percents and analyze the result
Answers
The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.
Explain challenge problem?A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.
To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.
The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:
$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%
Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.
To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:
$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)
To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.
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The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ? 0. Find an equation for the parabola that passes through the points (?1, ?9), (1, ?3), and (2, ?6).
This is in linear algebra. I plugged the points in the equation to get a coefficient matrix:\begin{bmatrix} 1 & -1 & 1 & 9 & 0 \\ 1 & 1 & 1 & 3 & 0 \\ 4 & 2 & 1 & 6 & 0 \end{bmatrix}
Then I reduced the matrix to echelon form and found that c = 4, b = -3, a = 8. So the equation becomes y = 8x^2 -3x + 4 which is apparently wrong. What's the answer to this problem?
Answers
The equation of the parabola that passes through the points (-1, -9), (1, -3), and (2, -6) is y = -2x² - 3x - 4.
The equation of the parabola that passes through the points (-1, -9), (1, -3), and (2, -6) is y = -2x² - 3x - 4What is a parabola?A parabola is a smooth, symmetric, and U-shaped curve with certain properties. It's produced when a plane intersects a cone parallel to one of its sides, resulting in a curve that looks like a mirror image of itself.For the equation of a parabola, the form y = ax² + bx + c is used, where a, b, and c are constants, and a ≠ 0. The following is the step-by-step procedure for solving this problem.The system of equations is given by:(-1)^2a - 1a + c = -9(1)^2a + 1a + c = -3(2)^2a + 2a + c = -6Simplifying the system of equations results in: a - b + c = -9a + b + c = -34a + 2b + c = -6Add equations (1) and (2) to eliminate c.a - b + c = -9a + b + c = -3-----------------2a = -12a = -6Substitute a = -6 in equation (1):a - b + c = -9-6 - b + c = -9c = -9 + b - 6c = -b - 3Substitute a = -6 and c = -b - 3 in equation (3):4a + 2b + c = -64(-6) + 2b + (-b - 3) = -64-6b - 15 = -64-6b = -49b = 49/6Substitute b = 49/6 and a = -6 in equation (1):a - b + c = -9-6 - 49/6 + c = -9c = 15/2Substitute a = -6, b = 49/6, and c = 15/2 in the general equation:y = ax² + bx + cy = -6x² + (49/6)x + (15/2)y = -2x² - 3x - 4Therefore, the equation of the parabola that passes through the points (-1, -9), (1, -3), and (2, -6) is y = -2x² - 3x - 4.
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What is the correct domain and range in set notation
Answers
Answer:
The one on the middle left.
Explanation:
x goes infinitely in the positive direction.
y does not show any sign of not going infinitely positively or negatively.
I am an even whole number. I am greater than 0 and I am also less than 20. If you multiply me by 2 the product will be less than 3.
Answers
If we multiply 1 by 2, the product is 2, which is less than 3.
Therefore, the even whole number that is greater than 0, less than 20, and whose product when multiplied by 2 is less than 3, is 1.
What is the location of F on the decimal number line below?
Write your answer as a decimal
Answers
Answer:
6.45
Step-by-step explanation:
Every part is 0.01 bigger or smaller
You can find it out by subtraction and then division
6.5 - 6.4 = 0.1
0.1 : 10 = 0.01
There are 10 parts that's why you divide it by 10.
If there will be 2 parts you will divide by 2
Location of F on the given decimal number line is \(6.45\) .
What is number line?" Number line is defined as a straight line which represents the numbers on it with equal interval."
According to the question,
Given number line,
F is between two decimal numbers \(6.4\) and \(6.5\)
\(6.4\) and \(6.5\) divides into \(10\) equal parts.
On the number line distance between \(6.4\) and \(6.5\) is equals to \(0.1\)
Each part represents \(0.1 \over 10\) distance which is equals to \(0.01\).
F is on the \(5th\) location.
On the number line distance of F from \(6.4\) is \(0.01 \times 5 = 0.05\)
Therefore, location of F
\(= 6.4 + 0.05\\\\= 6.45\)
Hence, location of F on the given decimal number line is \(6.45\) .
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do the following study results require a post-hoc test to be performed? when testing four groups, it was found that exercise does not affect memory f(3,26)1.92,p>.05 yes no
Answers
Yes, the study results require a post-hoc test to be performed.
Since the main analysis, an ANOVA test, showed a non-significant result (F(3,26) = 1.92, p > .05), it may be tempting to conclude that there is no difference among the four groups. However, to ensure the accuracy of the findings, a post-hoc test should be conducted.
A post-hoc test is necessary because it helps to identify if there are any specific pair-wise differences among the groups that were not detected by the initial ANOVA test. Although the overall result may not be significant, there might still be significant differences between specific group pairs.
By conducting a post-hoc test, you can reduce the risk of Type II errors (false negatives) and better understand the underlying relationships between exercise and memory in the study. Some popular post-hoc tests include Tukey's HSD, Bonferroni, and Scheffe tests.
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Based on the given figure, prove that if a transversal intersects two parallel lines, then alternate interior angles have equal measure.Question: What is the missing statement in Step 3?
Answers
The angle c and angle g are pair of corresponding angles. So,
\(\angle c\cong\angle g\)As angle c and angle g are equal. So sum of angle f and angle g can be expressed as sum of angle f and angle c.
Thus missing statement for step 3 is,
\(\angle c=\angle g\)a researcher constructs a confidence interval for a population proportion using a sample of size 50. the value of p-hat is .3, and the resulting confidence interval is determined to be (.1323, .4677). what's the level of confidence for this interval?
Answers
The level of confidence for the given confidence interval is 95% and z-score is 1.96.The calculation involves using the formula for the confidence interval and the given sample proportion and size.
We can use the formula for the confidence interval for a population proportion:
p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))
Where p-hat is the sample proportion, z is the z-score for the desired level of confidence, and n is the sample size.
We're given that p-hat = 0.3 and n = 50. We're also given that the confidence interval is (.1323, .4677), which means that:
p-hat ± z*(sqrt(p-hat*(1-p-hat)/n)) = (.1323, .4677)
We can use the midpoint of the confidence interval as the point estimate for p-hat, which is (0.1323 + 0.4677) / 2 = 0.3.
Substituting the values we have into the equation, we get:
0.3 ± z*(sqrt(0.3*(1-0.3)/50)) = (.1323, .4677)
Simplifying the equation, we get:
z = 1.96
Therefore, the level of confidence for this interval is 95%, since the z-score for a 95% confidence level is 1.96.
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Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?
Answers
Answer:
5 hours 8 mins?
Step-by-step explanation:
What is the slope-intercept equation
for the following line?
Answers
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
Answers
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
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5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?
Answers
Answer:
60% of students are boys
Step-by-step explanation:
Okay first subtract 645-258 to get the amount of boys at the school
645-258=387
Now the ratio of boys to girls is
387:258
387/645×100 to get percentage of boys
put that in your calculator and you will get 60%
so there is 60% of middle school boys and
258/645×100 to get the percentage of girls
put it in the calculator and you will get 40%
so 60% boys and 40% girls
60% + 40% = 100%
A ladder reaches 2 m up a wall. the foot of the ladder is 0.4 m from the wall. for safety reasons, the slope should be between 6.3 and 9.5. is this ladder within the safe range?
Answers
Answer:
No, the ladder is not within the safe range because the slope is 5.
Step-by-step explanation:
To solve, find the slope of the ladder using the slope formula and check if the slope is between 6.3 and 9.5.
What is slope?
Slope is how steep a line is. In this case, the line is the ladder. If the ladder is too steep, them it is not safe.
How do we calculate slope?You can calculate slope using the following formula:
\(slope = \frac{rise}{run}\)
Rise means how faraway vertically, or how high up the ladder is.
Run means the how faraway horizontally, or from the wall the ladder is.
Slope of the ladderLet's calculate slope using the formula.
\(\displaystyle {slope=\frac{rise}{run}}\)
\(\displaystyle {slope=\frac{2\ m}{0.4\ m}}\) Substitute the values, 2m for rise, 0.4m for run.
\(\displaystyle {slope=5}\) Final answer
Is the ladder safe?The question tells us that a safe ladder has a slope of 6.3 to 9.5. The slope, 5, is not between that range. Therefore, the ladder is not safe.
Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?
Answers
Answer:
$2,003.38
Step-by-step explanation:
Two students wrote the equations shown below.
Erica Aliyah
y = -0.5x y = 2.5x - 8
Which statement is true?
A Graphs of both equations will pass through the origin.
B Only Erica’s equation is proportional.
C Both equations have a negative slope.
D Only Aliyah's is proportional
Answers
Only Erica's equation (y = -0.5x) is proportional
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the Erica equation:
y = -0.5x
The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional
Given the Aliyah equation:
y = 2.5x - 8
The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional
Both equations are linear equations
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What is 1.44 divided by 5.96 ROUNDED PLZ
Answers
Answer:
0.24
Step-by-step explanation:
it was 0.24161073 not simplified but since the 1 after the 4 is not greater than five it stays the same and it beccome 0.24
Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?
A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29
Answers
The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.
What is the future value of the account?The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 4%/12 n = number of years = 3 x 12 = 36$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06
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College administrators at a small, private college noticed that students who had higher high school gpas tend to have higher college gpas. What are the explanatory variable and response variable for this relationship?.
Answers
The explanatory variables and response variables for this relationship are;
b. Explanatory variable: high school GPA
Response variable: college GPA
What are explanatory variables?
When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.
Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.
Numerous variables, referred to as explanatory variables, might have an impact on the response variable.
Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.
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Complete question:
College administrators at a small, private college
noticed that students who had higher high school
GPAs tend to have higher college GPAs.
What are the explanatory variable and response
variable for this
relationship?
Explanatory variable: size of college
Response variable: college GPA
Explanatory variable: high school GPA
Response variable: college GPA
Explanatory variable: college GPA
Response variable: high school GPA
Explanatory variable: type of college (public)
Response variable: college GPA
A ski resort has a lift from A to C , as shown in the figure below. Angle DAC measures . Mountain officials want to build a new ski lift from B to C. The base B will be 1040 feet from A, and the new lift will be 1875 feet long. What will be the measure of angle B ? Round your answer to the nearest tenth of a degree.
Answers
The measure of angle B is given as follows:
m < B = 19.12º.
How to obtain the measure of angle B?The measure of angle B is obtained applying the law of sines, which states that the ratio between the sine of an angle and the length of the opposite side to the angle is equals for all three angles.
The angles for the triangles are given as follows:
Angle A: 148º, as it is supplementary with it's external angle, opposite to a side length of 1950 ft.Angle C: x, opposite to a side length of 820 ft.Then the measure of angle C is calculated as follows:
sin(148º)/1950 = sin(C)/820
sin(C) = 820 x sin(148º)/1950
sin(C) = 0.22283784444
C = arcsin(0.22283784444)
C = 12.88º.
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:
148 + 12.88 + x = 180
x = 180 - (148 + 12.88)
x = 19.12º.
Missing InformationThe figure is given by the image shown at the end of the answer.
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Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =
Answers
Help asap please!!!!!!!!!!!!!! 4-26-21 math
Answers
Answer:
2 and x=-2
Step-by-step explanation:
Please help me
A?
B?
C?
D?
Answers
Answer:
B
Step-by-step explanation:
Answer:
\(13x^{10}\)
Step-by-step explanation:
\(4x^{10}+9x^{10}\)
\((4+9)x^{10}\)
\(13x^{10}\)
Because \(x^{10}\) can be factored out from both terms, you just add 9 and 4 and keep the \(x^{10}\).
A donut shop charges $18 for a box of 12 donuts. At this rate, how much would the shop charge for a box of 10 donuts
Answers
Answer:
$15
Step-by-step explanation:
18/12 = 1.50 per donut
10 x 1.5 = 15
40 POINTS!!!! PLS HELP!!!
David swam 4 laps in two and one half minutes. At this rate, how many laps would he swim in 15 minutes?
A. 8 laps
B. 19 laps
C. 24 laps
D. 30 laps
Answers
The number of laps that he swims in 15 minutes is given as follows:
C. 24 laps.
How to obtain the number of laps?The number of laps that he swims in 15 minutes is obtained applying the proportions in the context of the problem.
David swam 4 laps in two and one half minutes, hence the number of laps per minute in this problem is given as follows:
4/2.5 = 1.6 laps per minute.
The number of minutes is given as follows:
15 minutes.
Hence the number of laps is given as follows:
15 x 1.6 = 24 laps.
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Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 – 3x – 20x 4. Her work is shown below. (15x2 – 3x) (–20x 4) 3x(5x – 1) 4(–5x 1) Talia noticed that she does not have a common factor. What should she do? Talia needs to leave the polynomial as is because it is prime and cannot be factored. Talia needs to factor out a 3x from the first group and a 4x from the second group. Talia needs to factor out a negative from one of the groups so the binomials will be the same. Talia needs to apply the distributive property to get the expression (3x 4)(5x – 1).
Answers
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Given
Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x^2 – 3x – 20x + 4.
What is GFC?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.
To find the GCF of the two terms, the continuous division must be done.
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
She should do as follows:
\(\rm (15x^2- 3x) + (-20x + 4)\\\\3x(5x-– 1) + 4(-5x + 1)\\\\3x(5x - 1) - 4(5x - 1)\)
Hence, Talia needs to factor out a negative from one of the groups so the binomials will be the same.
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Answer:
C. Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Step-by-step explanation:
Question 3
Blank one: ____________
Answers
Answer:
30???????????
Step-by-step explanation:
The distance from the Earth to Saturn averages 886 million (886,000,000) miles. Write this number in scientific notation.
Answers
Answer:
8.86×10⁸
Step-by-step explanation:
The most significant digit of the number is in the hundred millions place. The exponent of 10 associated with that number place is 8, so the multiplier in scientific notation is 10^8.
Scientific notationThe significant digits of the number are written with one of them to the left of the decimal point. The power of ten multiplier is that associated with the place value of the most-significant digit.
886 million = 8.86×10⁸
