Answer:
Boy that's CAAAPPPPP.
Step-by-step explanation:
Answer:
The answer is a = 12 and b = 9.
Step-by-step explanation:
For starters 12 + 9 equals 21 and when you multiply 3/4 by 12 it gets you nine so both those statements are accurate if you choose this answer.
Can someone please explain how to do this.
Answer: 9/30
Step-by-step explanation:
as part of a student project, data was collected from uf students to determine if the average number of cities students have lived in was different for those who are florida residents and those who are not. summary statistics and part of the analysis appear below.
(1) p value is 0.234. So the 4th option is correct.
(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.
(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.
4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.
We consider the following hypothesis-
H0: µ1 = µ2 vs H1: µ1 ≠ µ2
Where µ1 is the population mean of the non FL res
µ2 is the population mean of the FL res
1) p value = 0.234
(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)
Hence the 4th option is correct.
2) We know if p value ≤ α we reject the null.
Here since p value grater that any alpha values so we fail to reject the null.
Hence the 4th option is correct i.e, t none of the usual α.
(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.
(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.
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The right question is given below:
Nine raise to pawer one upon three into twenty seven raise to power one upon two upon three raise to power minus one upon six and three raise to power one upon three
Answer:
Step-by-step explanation:
Let's break down the expression step by step:
Nine raised to the power of 1/3:
9^(1/3) = ∛9 = 2.0801
Twenty-seven raised to the power of 1/2:
√27 = 5.1962
Two raised to the power of 1/6:
∛2 = 1.1225
Combining the previous results:
(2.0801 * 5.1962) / 1.1225
Three raised to the power of 1/3:
∛3 = 1.4422
Combining the final result:
(2.0801 * 5.1962) / 1.1225 * 1.4422
(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085
Therefore, the value of the given expression is approximately 9.7085.
Step-by-step explanation:
to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg
What is the difference between a conjecture and a counterexample?
Answer:
?
Step-by-step explanation:
Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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There are 600 students in the 7th grade. 15% of the students are in Algebra, 3/4 of the students are in Pre-Algebra, and the rest are in Math 7. How many students are in Math 7? *
Answer:
there are 60 students in math 7
Step-by-step explanation:
3/4 = 75%
75 + 15 = 90
100-90 = 10
10% of students are in math 7.
10% of 600 is 60
60 students are in math 7
hope this helps!
Personal observation allows a system analyst to verify statements made in interviewers and determine whether procedures really operate as they are described.
True/False
True. Personal observation permits a system analyst to confirm the veracity of comments provided by interviewees and to establish if procedures run as reported.
About ObservationPersonal observation enables the analyst to gather firsthand information about the procedures and operations being used in an organization. This information can then be compared with what was stated during the interviews to verify the accuracy of the statements made. By observing the actual processes, the analyst can identify any discrepancies or areas for improvement, allowing for a more comprehensive and effective analysis.
The ease of learning and implementation of personal observation as a method for system analysis can vary depending on several factors such as the complexity of the system, the experience and training of the analyst, and the availability of resources.
In general, personal observation is a straightforward technique, but it can be time-consuming and requires careful planning and execution. The analyst must have strong analytical and observation skills and the ability to identify and document relevant information. Proper training and experience can help make the learning and implementation process smoother.
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For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?
1.333
2.438
2.667
−4
Answer:
1.333
Step-by-step explanation:
Distance travelled (or displacement) will be the antiderivative of Velocity.
Antiderivative of -t^2 + 2 =
d(t) = -t^3/3 +2t
Now plug in t=2 and t=0 and subtract them.
(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333
Answer:
1.333
Step-by-step explanation:
We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.
x(t) = \(\int\limits^2_0 {t^{2} +2} \, dt\) = -t³/3 + 2t (evaluated from zero to two)
= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Which sum or difference is modeled by the algebra
tiles??
Step-by-step explanation:
A is excluded because in the second() x² should be negative
B is excluded because if you solve it -(-x² give you + x²
C is excluded because in the second() 2x and 1 should be negative
so D is right
The dot plot shows the number of goals a hockey team scored in their last 11 games.
Answer:
what is the question
Step-by-step explanation:
I need a question
Answer:
Hello the answer is 15
Step-by-step explanation:
give me brainliest please
the width of a rectangle card is 2cm less than the length and the area is 35cm²
The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²\(.\)
To Find :We have to find length and breadth of rectangle.
Solution :Let length of the rectangle be x cm.
Given that, width is 2cm less than the length.
∴ Width = (x - 2) cm
➤ Area of rectangle :
Area = Length × Width⭆ Area of rectangle = 35
⭆ length × width = 35
⭆ x × (x - 2) = 35
⭆ x² - 2x - 35 = 0
⭆ x² - 7x + 5x - 35 = 0
⭆ x(x - 7) + 5(x - 7) = 0
⭆ x = 7 or x = -5
We know that, length can't be negative.
∴ Length of rectangle = 7cm
Width = x - 2 = 7 - 2∴ Width of rectangle = 5cm
Hope It Helps!If a number is not divisible by 10, can it be divisible by 20?
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
Help pls pls help pls
Answer:
D. 118°
Step-by-step explanation:
90 + 28 = 118
good luck, i hope this helps :)
Answer:
D
Step-by-step explanation:
give them brain, they're correct.
23rd term of -11,-7,-3 in arithmetic sequence
Answer:
The 23rd term for the sequence is -99
Step-by-step explanation:
We can use an explicit rule to find the 23rd term.
Given Info:
=> Sequence: -11,-7,-3
=> f(1) = -11
=> Common difference (d) = -4
Explicit rule: f(1) + d(n-1)
So,
-11 -4 (n-1)
Substitute 23 for n
=> -11 - 4(23-1)
=> -11 - 4(22)
=> -11 - 88
=> -99
hope this helps and is right :)
p.s. i really need brainliest
Meg plans to build a fence around her yard. She draws this diagram of the yard.How many meters of fencing material does Meg need?
The required figure is,
The length of fencing material required = Perimeter of the figure.
Perimeter is calculated as,
\(\begin{gathered} Perimeter\text{ = sum of the length of all the sides} \\ Perimeter\text{ = 11.8 m + 18.5 m + 12.1 m +5.4 m + 6.4 m + 6.4 m } \\ Perimeter\text{ = 60.6 m} \\ \end{gathered}\)Thus 60.6 m of fencing material is needed.
Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.
Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ \(P_{A}\)\(P_{A}\) + \(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\)\(P_{A}\) + \(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\) \(P_{A}\) + ................
= \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{A}\) + \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{A}\) + \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{B}\)\(P_{C}\)\(P_{B}\)\(P_{C}\)\(P_{A}\) + ........
P(A) = \(\frac{1}{2}\) = \(P_{B}\) = \(P_{C}\) ∴{ they are evenly matched player}
so P(A is overall winner) will be;
= (\(\frac{1}{2}\))² + (\(\frac{1}{2}\))⁵ + (\(\frac{1}{2}\))⁸ + ..........+ (\(\frac{1}{2}\))⁴ + (\(\frac{1}{2}\))⁷ + (\(\frac{1}{2}\))¹⁰ + .............
= (\(\frac{1}{2}\))² [1 + (\(\frac{1}{2}\))³ + (\(\frac{1}{2}\))⁶ + .........] + (\(\frac{1}{2}\))⁴[1 + (\(\frac{1}{2}\))³ + (\(\frac{1}{2}\))⁶ + .........]
= [ (\(\frac{1}{2}\))² + (\(\frac{1}{2}\))⁴ ] [ 1 / 1 - (\(\frac{1}{2}\))³ ]
= [ (\(\frac{1}{4}\)) + (\(\frac{1}{16}\)) ] [ \(\frac{8}{7}\) ]
= \(\frac{5}{16}\) × \(\frac{8}{7}\)
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714
The probability that A is the overall winner is; 5/14
Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; \(P_{L}\) = 0
However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; \(P_{WLX}\) = ¹/₂ × ¹/₂ × ¹/₂;\(P_{WLX}\) = ¹/₈
Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;
¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) + (¹/₄ × ¹/₈³ ) + ........
Now, for that series, as n approaches infinity, the sum of the series would give us;
∑ = ¹/₄(1/(1 - ¹/₈ ))
⇒ ¹/₄(⁸/₇)
⇒ ²/₇
Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;
[1 - (²/₇)]/2
⇒ ⁵/₇ × ¹/₂
P(A) = P(B) = ⁵/₁₄
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8x - 6y + 7x - 1y - 2x + 4x
Answer:
17x-7y
Step-by-step explanation:
MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.
What is the volume of the prism, in cubic centimeters?
cubic centimeters
What is the surface area of the prism, in square centimeters?
cubic centimeters
Answer:
X=35 Y=73
Step-by-step explanation:
use the opposite angle theorem for x. X would equal 35.
we know that x is 35. So 2y+35=180
180-35=2y
y=72.5 or 73
srry I can’t help with question 2. I don’t know how
Sarah had 1 3/4 bags of trail mix. She age 1/2 of a bag. She gave 1/3 of a bag to her friend. She dropped 1/6 of a bag and she was sad. How much trail mix did she had left?
Answer:
3/4 bags of trail mix
Step-by-step explanation:
She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left
A composition of reflections over parallel lines is the same as a __________.
A.
translation
B.
rotation
C.
glide reflection
D.
double rotation
Answer:
a. translation
Step-by-step explanation:
Which statement is true ?
- 4 is the domain of f(g)
- 4 isn’t in the domain of f(g)
The statement -4 is not in the domain of f(g) is true.
What is domain?The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.
what is range?In a function for each domain, we get a possible output from dependent variable which is termed as range.
From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.
So, -4 is not in the domain of f(g) is true
hence, -4 cannot be a domain of given function f(g)
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The statement -4 is not in the domain of f(g) is true.
What is domain?
The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.
What is range?
In a function for each domain, we get a possible output from dependent variable which is termed as range.
From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.
So, -4 is not in the domain of f(g) is true
hence, -4 cannot be a domain of given function f(g)
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A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
\( \rm \lim_{k \to \infty } \sqrt[ k]{ \Gamma \bigg( \frac{1}{k} \bigg)\Gamma \bigg( \frac{2}{k} \bigg)\Gamma \bigg( \frac{3}{k} \bigg) \dots\Gamma \bigg( \frac{k}{k} \bigg)} \\ \)
We have
\(\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)\)
and as k goes to ∞, the exponent converges to a definite integral. So the limit is
\(\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}\)
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.
The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?
The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.
Please find attached the graph of the residual plot for the data created with MS Excel
What is a residual plot?A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.
The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158
The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;
Area (in²) \({}\) Residuals
x-value
5 \({}\) -1.0178
10 \({}\) -0.2718
24 \({}\) 0.605
46 \({}\) 0.7874
53 \({}\) 0.7018
78 \({}\) 0.0758
84 \({}\) -0.129
100 \({}\) -0.7538
The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option
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Connor began his newspaper route at 3:25
p.m. Monday afternoon and finished it at 5:56
p.m. He got very hot while he was working
and stopped for eleven minutes to cool off
and have a soda. One of his customers
stopped him for four minutes to talk about the
weather. How long did Connor spend actually
delivering newspapers?
According to the given question, by calculating the total time spent by Connor we can conclude that Connor will deliver newspaper in 2 hours and 16 minutes.
What Is Time?"Time" has no clear beginning, middle, or end. An interruption in time is called an interval. It has a start, an endpoint, and a set amount of time.
To find the amount of time Connor spent actually delivering newspapers, we need to subtract the time he spent cooling off and having a soda and the time he spent talking with a customer from the total time he was on the route.
First, we need to calculate the total time Connor was on the route:
5:56 p.m. - 3:25 p.m. = 2 hours and 31 minutes
Next, we need to subtract the time he spent cooling off and having a soda:
2 hours and 31 minutes - 11 minutes = 2 hours and 20 minutes
Finally, we need to subtract the time he spent talking with a customer:
2 hours and 20 minutes - 4 minutes = 2 hours and 16 minutes
Therefore, Connor spent 2 hours and 16 minutes actually delivering newspapers.
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Find the slope of the secant line for the g(x) = -20 SQRT x between x = 2 and x = 3
Given:
Equation of line is,
\(g(x)=-20\sqrt[]{x}\)The slope of the secant line between x =a and x= b is calculated as,
\(\begin{gathered} m=\frac{f(b)-f(a)}{b-a} \\ m=\frac{f(3)-f(2)}{3-2} \\ m=\frac{-20\sqrt[]{3}-(-20\sqrt[]{2})}{1} \\ m=-20\sqrt[]{3}+20\sqrt[]{2} \\ m=20(\sqrt[]{2}-\sqrt[]{3}) \\ m=-6.36 \end{gathered}\)Answer: slope of the secant line is m = -6.36
what is i to the 97th power minus i
Answer: 0
i⁹⁷ - i = 0
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2