Answer:
x intercept at( -2)
y intercept at (4)
The x-intercept and the y-intercept are -2 and 4 respectively.
The X-intercept is the point where the line of an equation intersects the X-axis. While y-intercept is the point where the line of an equation intersects the Y-axis. Here, the X-axis is the horizontal axis, and the Y-axis is the vertical axis.
Since the given graph shows the line intersecting the X-axis i.e. the horizontal axis at -2, the x-intercept of the line would be -2. Whereas, since the line intersects the Y-axis at 4, the y-intercept is 4. The points that show these intercepts are (-2,0) for the x-intercept and (0,4) for the y-intercept.
∴ The intercepts are -2,4 respectively.
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Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
ALEEERT!!!!! URGENT!!!!! BRAINLIEST!!!! 5 STAR!!!!!! AND A THANKS
Heavy rain in Oxford caused the Brandywine Creek to rise. The creek rose three inches the first day, and each day twice as much as the previous day. How much did the creek rise on the fifth day?
Answer: The river rose
93
inches in five days.
Explanation:
Day 1:
3
Day 2:
6
Day 3:
12
Day 4:
24
Day 5:
48
Total:
3
+
6
+
12
+
24
+
48
=
93
OR
Total:
3
(
1
+
2
+
4
+
8
+
16
)
=
93
Step-by-step explanation: uh I am sorry
Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
What is the approximate area of a circle with a radius of 11 m?
O A. 190 m2
O B. 69 m2
O C. 34.5 m2
O D. 380 m2
Hello!
Answer:\(\boxed{ \bf The~approximate~area~of~the~circle~is~D.~380~m^2}\)
___________________________________________
Explanation:We must use a certain formula to find the area of a circle.
A = πr²
Let's plug in the radius.
A = π × 11²
A = π × 121
A = 380
Eva earns $500 per month plus $3 for every sale she makes which inequality can she use to find how much she must sale to earn at least $1,200 in a month
Answer:
500 + 3(s) ≥ 1200
Step-by-step explanation:
Ok so the goal is to earn 1,200 / month
We know that she already earns 500/month
So lets do some subtraction
Because she needs to make ATLEAST 1,200, well use either ≤ or ≥
Lets call (s) the number of sales she makes
Lets form the inequality
500 + 3(s) ≥ 1200
If my answer is incorrect, pls correct me!
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-Chetan K
What value does point P represent on the number line given?
–3.9
–3.1
–2.9
–0.3
Number line ranging from negative five to five, with the point P labeled between negative two and three
Kathryn invests $8,327 in a savings account with a
fixed annual interest rate compounded continuously. After
10 years, the balance reaches $18,532.08. What is the
interest rate of the account?
Answer:
Below
Step-by-step explanation:
The equation to use for CONTINUOUS compounding is :
FV = PV e^(it)
18532.08 = 8327 * e^( i*10) where i is the interest in decimal form
18532.08/8327 = e^(10i)
2.225541 = e^(10i) now take natural log (ln) of both sides to get
.8000 = 10i
i = .08 or 8% interest
Please Hurry!
A box of apples sells for $17. At this rate, which expression represents the cost, in dollars, of 100 apples?
A) 5/17•20
B) 5/20•17
C) 100/17•20
D) 100/20•17
E) 17•5•20
Answer: D
Step-by-step explanation:
20 apples cost $17
100 apples = 100/20 * 17 = D
Can someone help me with this pleaseeeeee
The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.
What is the solution of the matrix equation?The solution of the matrix equation is calculated by applying Cramer's rule as shown below;
[ 1 1 -1 ] [ 7 ]
[ 2 3 0 ] [ 18 ]
[ -5 -7 -1 ] [ -43 ]
The determinant of the matrix is calculated as follows;
[ 1 1 -1 ]
[ 2 3 0 ]
[ -5 -7 -1 ]
Δ = 1 (-3 - 0) - 1(-2 - 0 ) - 1(-14 + 15)
Δ = -2
The x determinant of the matrix is calculated as follows;
[ 7 1 -1 ]
[ 18 3 0 ]
[ -43 -7 -1 ]
Δx = 7 (-3 - 0) - 1 (-18 - 0 ) - 1(-126 + 129)
Δx = -6
The y determinant of the matrix is calculated as follows;
[ 1 7 -1 ]
[ 2 18 0 ]
[ -5 -43 -1 ]
Δy = 1 (-18 - 0 ) - 7(-2 - 0 ) -1(-86 + 90)
Δy = -8
The z determinant of the matrix is calculated as follows;
[ 1 1 7 ]
[ 2 3 18 ]
[ -5 -7 -43]
Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)
Δz = 0
The values of x, y , and z is calculated as;
x = Δx/Δ = -6/-2 = 3
y = Δy/Δ = -8/-2 = 4
z = Δz/Δ = 0/-2 = 0
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What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
12 a Solve for a. 10 a = ✓[?]
Answer:
10
Step-by-step explanation:
6x^2=-3x+1 to the nearest hundredth
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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does the line passing through (1,1) and (3,1) have a slope of zero
Answer:
\(yes \\ m = 0\)
Step-by-step explanation:
I would explain but then I would sound like an idiot
y=mx+ b
The data show the number of hours of television watched per day by a sample of people. Use technology to answer parts (a) and (b) below. a. Find the data set's first, second, and third quartiles. nothing nothing nothing (Type integers or decimals. Do not round.) b. Draw a box-and-whisker plot that represents the data set. Choose the answer below. Note that different technologies will produce slightly different results. A. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 1, 6, 7, 9. A box encloses the vertical line segments at 1, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. B. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 3, 6, 7, 9. A box encloses the vertical line segments at 3, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. C. 0 3 6 9
*see attachment for the data set given
Answer:
\( Q_1 = 2.5 \)
\( Q_2 = 5.5 \)
\( Q_3 = 8 \)
The box plot is shown in the attachment below.
Step-by-step Explanation:
a. To find Q1, Q2 (median), and Q3, first order the data from the least to the largest. We would have:
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q2 which is also the median, is the middle value that divides the data set into two equal parts. In the data set given, Q2 is the data value between the 14th and 15th data value. The average of the 14th and the 15th data value would give us Q2.
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, [5,Q2, 6], 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
They are 5 and 6. Average = \( \frac{5+6}{2} = 5.5 \)
Q1 is the middle value of the lower part of the data set from Q2 down to your left.
0, 1, 1,1, 2, 2, [2, Q1, 3,] 4, 5, 5, 5, 5, 5, Q2, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q1 = average of the 7th and 8th value = \( \frac{2+3}{2} = 2.5 \)
Q3 = \( \frac{8+8}{2} = 8 \)
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5,Q2, 6, 6, 7, 7, 7, 8, [8, Q3, 8], 8, 9, 9, 9, 9, 9.
Help me please!!!!!!!
1. ⬛⬜⬜⬜
⬛⬛⬛⬜
2. I would need more information on this problem to help you. Sorry :((
3. Right Triangle is correct.
4. g = 33 - 8 - 9
g = 25 - 9
g = 16
5. ⚫◐◯
Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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If f(x) = 2x2 − 3x + 4, then f(x + 3) is equal to
a.
2x2 − 3x + 7
b.
2x2 − 3x + 13
c.
2x2 + 9x + 13
d.
2x2 + 9x + 25
Answer:
B
Step-by-step explanation:
please refer to the sketch for details
Find the missing fraction.
5/2- blank = 1/3
Answer: 13/6 (5/2 - 13/6 = 1/3)
Step-by-step explanation:
Cathy conducted an experimentin which she placed red, yellow, blue, and orange pieces of paper in a hat and drew them out without looking. The number of times Cathy drew each color is shown in the table above. What is the experimental probability that the next slip of paper Cathy draws will be orange?
Answer:
28/55
Step-by-step explanation:
First thing you do is add up all of the data values.
This is the total of everything you can draw.
in this case it would by 55.
We set this as the denominator and set the numerator to the ammount of times orange has been drawn.
This would result in our answer.
Hope this helps!
Please help ASAP
Find the sum of 2 x^2 + 3 x - 4, 8 - 3 x , and -5 x^2 + 2.
A. -3 x2 - 2
B. -7 x2 - 2
C. -3 x2 + 6
D. -7 x2 - 6 x - 2
answer:
B. -7x2-2
add the numbers and variables together and combine like terms
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
El perímetro de un campo rectangular es 300 m . Si la longitud del campo es 88 , ¿cuál es su anchura?
Based on the above, the width of the field is 62 meters.
What is the width?Based on the question, Let's say that the width of the field is denoted with 'w'.
Note that the formula for the perimeter (P) of a rectangle is:
P = 2(l + w)
where"
l = length
w = width.
Fixing the values into the equation, it will be:
300 = 2(88 + w)
So, Divide both sides by 2:
150 = 88 + w
Subtract 88 from both sides:
w = 150 - 88
w = 62
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Se text below
The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.) v = (7, −14, −3, −4), u1 = (2, −3, 2, 2), u2 = (−3, 2, 1, 2), u3 = (0, −1, −1, −1)
Answer:
IMPOSSIBLE
Step-by-step explanation:
The relation v = 5u₁ + u₂ + u₃ is not followed by the third and fourth coordinates then the linear combination is impossible.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The v is a linear combination of u₁, u₂, and u₃.
v = (7, −14, −3, −4), u₁ = (2, −3, 2, 2), u₂ = (−3, 2, 1, 2), u₃ = (0, −1, −1, −1)
Let the relation is given as
v = 5u₁ + u₂ + u₃
Then for the first one
7 = 10 −3 + 0
7 = 7
For the second one
−14 = −15 + 2 −1
−14 = −14
Then for the third one
−3 = 10 + 1 −1
−3 ≠ 10
The linear combination is impossible.
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A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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Ryan asked 80 students at his school whether they prefer to drink flavored water or unflavored water. This table shows the relative frequencies from the survey.Based on the data in the table, which statements are true? Select all that apply.The answer choices are in a separate picture.
Answer:
1, 2, and 4 are True.
Explanation:
(1)The proportion of 8th graders who prefer unflavored water (0.30) is greater than those who prefer flavored water (0.25). Therefore, most 8th graders prefer unflavored water.
The first statement is True
(2)The proportion of 7th graders who prefer flavored water (0.30) is greater than those who prefer unflavored water (0.15). Therefore, most 7th graders prefer flavored water than prefer unflavored water.
The second statement is True
(4)From the table, there is no evidence to show an association between a students' grade level and their water preference.
The fourth statement is True.
All of it if you can
Answer:
i need help what is the answer
Step-by-step explanation:
Use the space provided to respond to each statement concerning the graph of a logarithmic function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the x-intercept. Write as an ordered pair.
e.) Does the function have an absolute maximum? Explain why or why not.
The features of the logarithmic function are given as follows:
a) Domain: x > 0.
b) Range: all real values.
c) End behavior: as x -> ∞, f(x) -> ∞.
d) The x-intercept is at x = 1.
e) The function does not have an absolute maximum, as it is never decreasing.
Features of the functionThe domain of the function is given by the set of input values, hence it is composed by the values of x assumed by the graph.
In this problem, the function is not defined for negative numbers, and has a vertical asymptote at x = 0, meaning that the function is not defined at this point, hence the domain is:
x > 0.
The range is the values of y of the graph, which are the output values of the function. The function assumes all value of y, hence the range is of all real values.
The end behavior of the function is given by the limit when x goes to infinity. The function is only defined for positive numbers, and it increases to right, hence the end behavior is:
As x -> ∞, f(x) -> ∞.
The x-intercept of the function is the value of x at which the function crosses the x-axis, hence it is given by:
x = 1.
An absolute maximum is a point in which the function changes from increasing to decreasing. In this problem, the function is increasing over it's entire domain, hence it contains no absolute maximum.
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Answer:
a.) The domain of the function is x > 0
b.) The range of the function is all real values.
c.) The end behavior of the function is as x approaches infinity, f(x) approaches infinity.
d.) Written as an ordered pair, the x-intercept of the function is (1,0).
e.) No, the function does not have an absolute maximum because the function is constantly increasing and never decreasing, meaning an exact absolute maximum is impossible to pinpoint. An absolute maximum is a point in which the function changes from increasing to decreasing. This function represents a constant increase over the entire domain. Therefore, the function contains no absolute maximum.
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Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.