Answer: 4.3
Step-by-step explanation:
Answer:
quotient is 4 remander 3 continues
Step-by-step explanation:
if Sophia took a bath at 9:36 and finish at 10:30 how much time did she use in taking a bath
Answer:
54 minutes
Step-by-step explanation:
1) There are 60 minutes in an hour. So, you can do 60-36 to find the first value. (24)
2) Add 24 minutes to 30 and get 54 minutes.
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
Answer:
4, 2.75, 1.5, 0.25, - 1, - 2.25, ...............
Step-by-step explanation:
Using the recursive formula with f(1) = 4, then
f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75
f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5
f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25
f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1
f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25
Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25, .......
What is the sum and classification of 3/20 + the square root of 10 and is it rational
Answer:
The correct option is 1
Step-by-step explanation:
Given the number . we have to identify the number is rational or irrational
As we know is irrational
i.e
The above number is irrational as it is non repeating and non-termination number after decimal.
As the sum of a rational and an irrational must be irrational
∴ is irrational which gives the sum 3.31227766....
hence, the correct option is 1)
Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3
2. 4:15
3. 3/10
4. 13/21
5. 6/16
6. 8:11
7. 9:20
8. 11:25
9. 5/16
10. 7/12
11. 6:13
12. 4:9
13. 2:5
14. 19/45
15. 12/25
Please make it quick
Answer
15. 12/25
Step-by-step explanation:
Because the surface value of this question
The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12.4 ounces and a standard deviation of 4.3 ounces. Find the number of ounces above which 86% of the dispensed sodas will fall.
Select one:
a. 7.8
b. 9.1
c. 8.6
d. 12.4
Feedback
The correct answer is: 7.8
The number of ounces above which 86% of the dispensed sodas will fall is 7.8 ounces. This can be answered by the concept of Standard deviation.
To find the number of ounces above which 86% of the dispensed sodas will fall, we need to find the z-score corresponding to the 86th percentile.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the 86th percentile is approximately 1.08.
We can then use the formula:
z = (x - μ) / σ
where z is the z-score, x is the value we want to find, μ is the mean, and σ is the standard deviation.
Plugging in the values we know:
1.08 = (x - 12.4) / 4.3
Solving for x, we get:
x = 7.8
Therefore, the number of ounces above which 86% of the dispensed sodas will fall is 7.8 ounces.
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Evaluate each expression.5. -36.97. 13 +-28. -12-8
7) 13 + -2 = 13 + (-2) = 13 - 2 = 11
8) -12 - 8 = - (12 + 8) = - (20) = -20
If QK Bisects ∠MQR, QN ⊥ LM and m∠MQK = 34º, find each missing measure
Angle of <RQK=34
Angle of<MQN=90
Angle of<MQK=34
Angle of<PQL=68
Angle of<RQL=112
Angle of<PQN=22
An angle may be a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are within the plane where the rays are located. The meeting of two planes also creates angles. We ask for these as dihedral angles. The angle formed by the rays lying perpendicular to the 2 crossing curves at the point of junction is another property of intersecting curves.
Angle also can refer to the length of a rotation or an angle. This metric represents the connection between a circular arc's length and radius. When a geometrical angle is involved
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Calculate the volume of a cube with side length of 7mm.
Answer:
\( {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length\)
If m23 = 54°, find the measure of each missing angle.
Answer:
Holo nomelase ay pa la próxima
In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector? Use complete sentences for full credit.
The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.
When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties
They have equal measures: The two angles formed by the bisector have the same degree measurement.
They are adjacent: The two angles share a common side and vertex.
They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.
They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.
They are congruent: The two angles formed by the bisector are congruent to each other.
These properties are useful in solving problems involving angle bisectors in geometry.
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I have solved the question in general, as the given question is incomplete.
The complete question is:
What are some properties of the angles formed by the bisector?
Find the third term of the sequence given by the rule f(1) = 5 and f(n) = f(n-1) + 3 for n bigger than 1
The third term of the sequence is 11.
The sequence given by the rule
f(1) = 5
and
f(n) = f(n-1) + 3, for n bigger than 1.
The third term of the sequence can be calculated using the given formula of the sequence.
We are given that
f(1) = 5, which means that the first term of the sequence is 5.
We can find the second term of the sequence using the formula.
f(n) = f(n-1) + 3
Now n = 2
f(2) = f(2-1) + 3
= f(1) + 3
= 5 + 3
= 8
Therefore, the second term of the sequence is 8.
Using the same formula we can find the third term of the sequence
f(n) = f(n-1) + 3
Now n = 3
f(3) = f(3-1) + 3
= f(2) + 3
= 8 + 3
= 11
Therefore, the third term of the sequence is 11. Hence, the correct answer is 11.
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Write 3250 in scientific notation please!!!
Answer:
3.25 x 10 to the 3rd power
Step-by-step explanation:
To find a, take the number and move a decimal place to the right one position.
Original Number: 3,250
New Number: 3.250
Step 2
Now, to find b, count hhere are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 3.25ow many places to the right of the decim
Step 4
Check your work:
103 = 1,000 x 3.25 = 3,250al.
Answer:
3.25 x 10³
3,250 (three thousand two hundred fifty) is an even four-digits composite number following 3249 and preceding 3251. In scientific notation, it is written as 3.25 × 10³
What is the area of triangle ABC?
Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height
Step-by-step explanation:
Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC
If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Thus, we have seen the formula and definition of the area of triangle ABC.
Amira just accepted a job at a new company where she will make an annual salary of $59000. Amira was told that for each year she stays with the company, she will be given a salary raise of $3500. How much would Amira make as a salary after 8 years working for the company? What would be her salary after t years?
Answer:
After 8 years working for the company, Amira would make a salary of $59000 + 8 * $3500 = $70500.
After t years working for the company, Amira would make a salary of $59000 + t * $3500.
Step-by-step explanation:
Julio is selecting a random sample of people to survey for a newspaper article. Which elements are important for Julio to consider when choosing a random sample
When selecting a random sample of people to survey, Julio should consider a few important elements. Firstly, he should ensure that his sample is representative of the population he is trying to study. This means that he should try to include a diverse range of people from different ages, genders, socioeconomic backgrounds, and so on.
Additionally, he should consider the size of his sample, as larger samples generally provide more accurate results. Finally, he should strive for a random sample, where each person in the population has an equal chance of being selected, to avoid bias and ensure that his results are generalizable to the larger population. In summary, when selecting a random sample for his survey, Julio should consider factors such as representativeness, sample size, and randomness to ensure accurate and reliable results.
1. Representativeness: Ensure the sample accurately represents the population he's studying, covering various demographics such as age, gender, and socioeconomic status.
2. Sample Size: Choose an appropriate sample size (e.g., 100 people) to ensure the survey results are statistically significant and minimize sampling error.
3. Randomization: Use a random selection method, like a random number generator or drawing names from a hat, to ensure each individual has an equal chance of being chosen.
4. Avoid Bias: Make sure the selection process is free from personal or external influence, so the sample remains truly random and unbiased.
By considering these elements, Julio can ensure his random sample provides accurate and reliable data for his newspaper article.
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Can someone please help me I don’t get this
Answer:
D. x > -3 and x < 1
Step-by-step explanation:
There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.
First, we will isolate the absolute value by dividing by 3:
3|x + 1| < 6
|x + 1| < 2
Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:
-|2| < x + 1 < |2|
-2 < x + 1 < 2
and solve.
-3 < x < 1
(this can also be written as x > -3 and x < 1)
Edwin fills 15 test tubes with a solution. each test tube contains 150 milliliters of solution.
how many liters of solution in all is there in the test tubes?
2.25 l
22.5 l
225 l
2,250 l
2.25 liters of solution in all is there in the test tubes. So, the correct option is 2.25 l.
The total volume of solution in the 15 test tubes can be calculated by multiplying the volume of one test tube by the number of test tubes:
Total volume = 15 test tubes × 150 milliliters/test tube
Total volume = 2,250 milliliters
However, the question asks for the answer in liters, so we need to convert milliliters to liters by dividing by 1,000:
Total volume = 2,250 milliliters ÷ 1,000
Total volume = 2.25 liters
Therefore, there are 2.25 liters of solution in all the test tubes.
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Irma measured the floor of her storage unit, which is rectangular. It is 5 feet wide and 13 feet from one corner to the opposite corner. How long is the storage unit?
According to given information, the length of the rectangular storage unit is 12 feet.
What is rectangle?
A rectangle is a two-dimensional shape with four sides and four right angles. It is a quadrilateral with opposite sides that are parallel and equal in length.
We can use the Pythagorean theorem to find the length of the storage unit. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the 5-foot-wide floor and the length of the storage unit form the two sides of a right triangle, with the diagonal (the distance from one corner to the opposite corner) being the hypotenuse. We can set up the equation as:
\(hypotenuse^2 = side1^2 + side2^2\)
where side1 = 5 feet and hypotenuse = 13 feet.
Simplifying this equation, we get:
\(hypotenuse^2\)\(= 5^2 + side2^2\)
169 = 25 + \(side2^2\)
\(side2^2\) = 144
side2 = 12
Therefore, the length of the storage unit is 12 feet.
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x3 - 2x2 – 24r =
What’s the factor ?
Answer:
Step-by-step explanation:
X3 - 2x2 -24x
Pulling out tje terms 3.1 pull out like factors.
X3 - 2x2-24x =x(x2-24)
Trying the factor by spitting the middle term
3.2 factoring x2 -2x-24
The first term is x2 its coefficient is 1
The middle is -x2 its coefficient is -2
The last term is constant is -24
Multiple the coefficient of the first term by the constant 1 .-24=-24
Find the to factors of -24 whose sum eqyals the coefficient of the middle term which is -2
-24+1=-23
-12+2=-10
-8+4= -2
A d tbe final results: ×.(×-6)
Give me a five star if you got it
A company claims that their new bottle holds 25% more laundry soap. If their original container held 64 fluid Ounces of soap, how much does the new
container hold?
Answer:
66.25 fluid ounces Step-by-step explanation:25% additional of 53 is 53 x 25% = 13.2513.25 + 53 = 66.25
Step-by-step explanation:
nth term (math) asap please.
Answer:
Just do minus two, and you will get 27-100=-73
Step-by-step explanation:
8x-2=46 what is this but like you have to use a upside down T
Step-by-step explanation:
8x-2=46
collect like terms
8x=46+2
8x=48
Divide both sides by 8
8x÷8=48÷8
x=6
which subshell (for example, 1s) is designated by each set of quantum numbers below?
The subshell designated by each set of quantum numbers is as follows:
a) n=3, l=1 -> 3p subshell
b) n=4, l=2 -> 4d subshell
c) n=2, l=0 -> 2s subshell
d) n=5, l=3 -> 5f subshell
In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.
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in this question , use 1 foot equalto 12 inches 1 inch equalto 2.5 centimetres change 5 feet 8 inches to centimetres
Answer: 170 cm
Step-by-step explanation: 5x12=60. 60+8=68. 68x2.5=170.
HELP WILL MARK YOU BRAINLIEST
Answer:
9
Step-by-step explanation:
LM = 18
LN = 27
MN = LN - LM
MN = 27 - 18
MN = 9
Find the vectors t, n, and b at the given point. r(t) = 3 cos t, 3 sin t, 3 ln cos t , (3, 0, 0)
Here are the vectors **t**, **n**, and **b** at the given point:
* **t** = (-3 sin t, 3 cos t, 0)
* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)
* **b** = (3 cos^2 t, -3 sin^2 t, -3)
The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.
To find the vectors **t**, **n**, and **b**, we can use the following formulas:
```
t(t) = r'(t) / |r'(t)|
n(t) = (t(t) x r(t)) / |t(t) x r(t)|
b(t) = t(t) x n(t)
```
In this case, we have:
```
r(t) = (3 cos t, 3 sin t, 3 ln cos t)
r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)
```
Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.
The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.
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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
= (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
= (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.
The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.
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the least squares regression line is the line which minimizes the sum of the squared residuals for all the points in the scatterplot. the vertical distance between a point in the scatterplot and the predicted value on the regression line is the residual for the point. least square estimates from simple linear regression are the slope b1 estimates, on average, the change in the y variable associated with one unit increase in x variable.
The correct statements for least square estimates is the 3rd and 4th statements.
What is least square estimates?Least square estimates is method to predicted the observed Y value with minimized the sum of squared errors when using the fitted line.
The first and second statements is about simple linear regression. Simple linear regression is refers to linear line as parameter for fitting a model.
All statements are correct, but since the question asks for which statement is correct for least squares estimation, only the third and fourth statements are correct.
Thus, the 3rd and 4th statements is correct for least square estimates.
Your question is incomplete, but most probably your full question was (image attached)
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An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each are chosen, and three replicates of a 2323 factorial design are run. The results follow.
Replicate
A B C I II III
- - - 22 31 25
+ - - 32 43 29
- + - 35 34 50
+ + - 55 47 46
- - + 44 45 38
+ - + 40 37 36
- + + 60 50 54
+ + + 39 41 47
Estimate the factor effects. Which effects appear to be large?
Factorial experiment:
When the experimenter may be interested to check the effect of individual treatment levels, as well as the combination of different treatment levels, factorial experiments are used which take into account such cases. Factorial experiments are not a scheme of design like CRD, RBD, or LSD rather any of these designs can be carried out by a factorial experiment.
An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each are chosen, and three replicates of a 2323 factorial design are run.
The chosen terms, effect, and factorial can be defined as follows:
Terms: A - Cutting Speed B - Tool Geometry C - Cutting Angle Effect :In experimental design, the term "effect" refers to the difference in the outcome caused by a change in the treatment, given that other possible sources of variation are accounted for and controlled. Therefore, a factor's effect refers to the variation in the response variable (life of the machine tool) that is linked to changes in the factor level.
Factorial: The factorial experiment is a statistical experiment in which many variables are studied at once to determine the influence of each of these variables on the response variable. In a factorial experiment, the effect of each factor and the effect of each combination of factors are investigated.
The results of the experiment are shown in the following table:
Here is the table representing the data. Replicate A B C I II III - - - 22 31 25 + - - 32 43 29 - + - 35 34 50 + + - 55 47 46 - - + 44 45 38 + - + 40 37 36 - + + 60 50 54 + + + 39 41 47The factor effect of A, B, and C is shown in the table below. The computation of each factor effect is made by calculating the average response across all replicates of each level and subtracting the grand average from the level average.Here is the table representing the factor effect of A, B, and C:Factor A Factor B Factor C -7.25 -3.5 0.75 +7.25 +3.5 -0.75 -1.25 -4.5 +9.25 +3.75 +0.5 -0.25 +3.75 -0.5 +7.25 -3.75 -1.25 -7.25 +0.5 +4.25 Grand Average 39.875From the results obtained above, the most significant factor effect was tool geometry (B), which ranged from -4.5 to 3.75. The effect of factor C was also significant because the difference between the levels is only 0.5, which is relatively small.
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The effects that appear to be large are the effect of cutting speed (A).
The engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each are chosen, and three replicates of a 2323 factorial design are run. The given table shows the results of the experiment for 8 different treatment combinations:
Replicate A B C
I II III- - -
22 31 25+ - -
32 43 29- + -
35 34 50+ + -
55 47 46- - +
44 45 38+ - +
40 37 36- + +
60 50 54+ + +
39 41 47
We have the following calculations:
$$N=8, \quad k=3, \quad r=3$$
Sum of treatment combinations = $$\sum y_{ij}=22+31+25+32+43+29+35+34+50+55+47+46+44+45+38+40+37+36+60+50+54+39+41+47=869$$
Grand mean:
$$\bar{y}_{...} = \frac{1}{N} \sum_{i=1}^r \sum_{j=1}^k y_{ij} = \frac{1}{8\cdot 3} \cdot 869 = 36.21$$
Sum of squares for each treatment:
$\text{SS}_A=3\cdot [(32.75-36.21)^2+(48.5-36.21)^2]=79.0450$$\text{SS}_B=3\cdot [(38.25-36.21)^2+(41.5-36.21)^2]=10.5234$$\text{SS}_C=3\cdot [(42.75-36.21)^2+(40.5-36.21)^2]=23.9822$$
Total sum of squares:
$\text{SST}=\sum_{i=1}^r\sum_{j=1}^k(y_{ij}-\bar{y}_{...})^2=1557.75$
The sums of squares of treatments (SST) were calculated using the following formula:
$$\text{SST} = \sum_{i=1}^{r} \frac{(\sum_{j=1}^{k} y_{ij})^2}{k} - \frac{(\sum_{i=1}^{r} \sum_{j=1}^{k} y_{ij})^2}{Nk}$$
The sums of squares of errors (SSE) were calculated using the following formula:$$\text{SSE} = \text{SST} - \text{SS}_A - \text{SS}_B - \text{SS}_C$$
The degrees of freedom are $df_T = Nk-1 = 23$, $df_E = N(k-1) = 16$, and $df_A = df_B = df_C = k-1 = 2$.
$$MS_A=\frac{\text{SS}_A}{df_A}=\frac{79.0450}{2}=39.5225$$
$$MS_B=\frac{\text{SS}_B}{df_B}=\frac{10.5234}{2}=5.2617$$$$MS_C=\frac{\text{SS}_C}{df_C}=\frac{23.9822}{2}=11.9911$$
$$F_A=\frac{MS_A}{MS_E}=\frac{39.5225}{\frac{107.9063}{16}}=5.77$$$$F_B=\frac{MS_B}{MS_E}=\frac{5.2617}{\frac{107.9063}{16}}=0.94$$
$$F_C=\frac{MS_C}{MS_E}=\frac{11.9911}{\frac{107.9063}{16}}=1.63$$
The $p$-value for $F_A$ with 2 and 16 degrees of freedom can be found using an $F$-distribution table or calculator. We can use an online calculator to find that the $p$-value for $F_A$ is approximately 0.015.
The $p$-value for $F_B$ with 2 and 16 degrees of freedom can be found using an $F$-distribution table or calculator. We can use an online calculator to find that the $p$-value for $F_B$ is approximately 0.401.
The $p$-value for $F_C$ with 2 and 16 degrees of freedom can be found using an $F$-distribution table or calculator. We can use an online calculator to find that the $p$-value for $F_C$ is approximately 0.223.
The effects are significant for $A$, while they are not significant for $B$ and $C$. Therefore, the effects that appear to be large are the effect of cutting speed (A).
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X
у
-10
-25
-5
5
10
15
20
-20
-15
О-5
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.
please help asap
I put a photo
Answer: try asking a parent or teacher
Step-by-step explanation: try asking a trusted adult or teacher to try to figure out how