Is the function increasing or decreasing over the interval (-3,-1)? Explain.
Answers
Explanation:
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given interval is (-3, -1).
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
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Related Questions
-[-/7.14 Points] DETAILS LARPCALC11 6.4.036. Find the angle (in radians) between the vectors. (Round your answer to two decimal places.) u = 4i - 6j v = 5i + 4j 0 =
4. [-/7.14 Points] DETAILS LARPCAL
Answers
The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.
To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:
Given:
u = 4i - 6j
v = 5i + 4j
Step 1: Calculate the dot product of u and v.
The dot product of two vectors u and v is given by:
u · v = |u| |v| cosθ
where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.
To calculate the dot product, we multiply the corresponding components of u and v and sum them:
u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4
Step 2: Calculate the magnitudes of vectors u and v.
The magnitude of a vector is given by:
|u| = √(u₁² + u₂²)
For vector u:
|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21
For vector v:
|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40
Step 3: Calculate the angle θ.
Using the dot product formula mentioned earlier, we have:
-4 = (7.21)(6.40)cosθ
Solving for cosθ:
cosθ = -4 / (7.21 * 6.40) ≈ -0.086
To find θ, we can take the inverse cosine (arccos) of cosθ:
θ ≈ arccos(-0.086) ≈ 1.66 radians
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I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
Answers
I NEED HELP ASAP IM STRESSJNG OUT
Answers
Answer:
A
Step-by-step explanation:
Using the Sine rule in Δ ABC
∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then
\(\frac{13}{sin100}\) = \(\frac{BC}{sin30}\) ( cross- multiply )
BC × sin100° = 13 × sin30° ( divide both sides by sin100° )
BC = \(\frac{13sin30}{sin100}\) ≈ 6.6 ( to the nearest tenth )
El capitán Ben tiene un barco, el H.M.S.
Crimson Lynx. El barco está a cinco leguas del
temible pirata Luis con su banda de ladrones
desalmados.
Si su barco no ha sido cañoneado, el capitán
2
Ben tiene una probabilidad de de atinarle al
3
barco pirata. Si su barco ha sido cañoneado, el
capitán Ben siempre fallará.
Si su barco no ha sido cañoneado, el temible
1
pirata Luis tiene una probabilidad de de
3
atinarle al barco del capitán. Si su barco ha
sido cañoneado, el temible pirata Luis siempre
fallará.
Si tanto el capitán como el pirata disparan una
vez, y el pirata dispara primero, ¿cuál es la
probabilidad que el pirata le atine al barco del
capitán y que el capitán falle su dsiparo?
Answers
1. El barco del capitán no ha sido cañoneado y el pirata dispara con éxito, y el capitán falla su disparo.
2. El barco del capitán no ha sido cañoneado y tanto el pirata como el capitán fallan sus disparos.
3. El barco del capitán ha sido cañoneado y tanto el pirata como el capitán fallan sus disparos.
La probabilidad de la primera situación es (1/3) x (2/3) = 2/9, ya que el pirata tiene una probabilidad de 1/3 de atinarle al barco del capitán si este no ha sido cañoneado, y el capitán tiene una probabilidad de 2/3 de fallar su disparo si el barco no ha sido cañoneado.
La probabilidad de la segunda situación es (2/3) x (1/3) = 2/9, ya que tanto el pirata como el capitán tienen una probabilidad de 2/3 y 1/3, respectivamente, de fallar sus disparos si el barco no ha sido cañoneado.
La probabilidad de la tercera situación es 1/3 x 1/3 = 1/9, ya que tanto el pirata como el capitán tienen una probabilidad de 1/3 de fallar sus disparos si el barco ha sido cañoneado.
Por lo tanto, la probabilidad de que el pirata le atine al barco del capitán y que el capitán falle su disparo si el pirata dispara primero es la probabilidad de la primera situación, que es 2/9.
Madison owns a bakery named Cakes and Happiness Bakery. She sells cakes for $20 and sells additional baked goods for $5. How much money should she be making in 2 months if she sells an average of 5 cakes a week and 10 baked goods?
A- $1,050
B- $4,200
C-16,800
(this is just for fun, it's made up. feel free to ask questions fr tho :)
Answers
Answer:
The total amount Madison should be making in 2 months can be calculated as follows:
Number of cakes sold in 2 months: 5 cakes/week x 4 weeks/month x 2 months = 40 cakes
Number of baked goods sold in 2 months: 10 baked goods/week x 4 weeks/month x 2 months = 80 baked goods
Total revenue from cake sales: 40 cakes x $20/cake = $800
Total revenue from baked goods sales: 80 baked goods x $5/baked good = $400
Total revenue from both cake and baked goods sales: $800 + $400 = $1,200
Therefore, the correct answer is not listed among the options provided. The correct answer should be $1,200.
Did i get it right?
A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 24% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities.
(a) P(woman asked for a raise) = _____.
(b) P(woman received raise, given she asked for one) = _____.
(c) P(woman asked for raise and received raise) = _____.
Probability
Answers
The following probabilities are found under the condition that a certain national survey of heads of households P(woman asked for a promotion) = 24%, P(woman received promotion, given she asked for one) = 45%, P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%
Now,
Regarding a national survey concerning the head od households, only 24% of women interviewed had requested for a promotion and of those women who had asked for a promotion, 45% received the raise.
Therefore,
(a) P(woman asked for a promotion) = 24%
(b) P(woman received promotion, given she asked for one) = 45%
(c) P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%
Probability refers to the percentage of an event taking place in a required time frame, in a specified place. It is considered a great aid in the fields of science and mathematics.
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he gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) What are the mean and standard deviation of the average number of moths ž in 60 traps? (b) Use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4.
Answers
The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.
(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.
The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.
The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = 0.7 / sqrt(60) = 0.0905
the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.
(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:
Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94
Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.
The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.
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Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Answers
Answer:
Ari will think that Feeze Zone makes milkshakes with too much caramel.
Step-by-step explanation:
First off I took 3 ounces of caramel to 5 scoops of ice cream, which makes a ratio of 3/5.
Freeze Zone makes milkshakes with 6 ounces of caramel, so I multiplied the 3 and the 5 by two to get 6 ounces of caramel for the ratio.
once you multiply the ratio by two it becomes 6/10 and the milkshakes that Freeze Zone makes are 6/8, so they have more caramel than Ari likes.
Sorry if the explanation is a little confusing, I hope it helped :)
Need help !!!!!!!! #6
Answers
Answer:
C
Step-by-step explanation:
In the figure, m∠7 = 100°. Find the measure of the angle 3
Answers
Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°
What is the Alternate Interior Angles Theorem?If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.
Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:
m<3 = m<7
Substitute:
m<3 = 100°
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Can someone help me with these? I need some help.
Answers
Answer:
1) \(\sqrt{569}\) 2) 8 3) 0.8 4) \(\sqrt[10]{61}\)
Step-by-step explanation:
The equation for pythagoream theorem is
a^2 + b^2 = c^2 (the caret "^" represents exponents)
A = a side length
B = another side length
C = the hypotnuse which is the slanted side of the right triangle.
To solve these problems plug in the known values into the equation then solve.
Alexis wrote 28 - 8 = 20. Then she
wrote 28 -8 + 9 = 20 – 9. Are her
equations balanced? Explain.
Answers
Answer:
no this is because 28-8+9=29 and 20-9=11
Step-by-step explanation:
Answer:
Her equation is not balanced.
Because 28 - 8 + 9 = 20 - 9
29 = 11 ( its not balanced)
She put the same symbol or sign on both side.Here she put different sign on both side .so this equation is not balanced.
Step-by-step explanation:
Please help! I cannot figure this out
Answers
Answer:
104 degrees.
Step-by-step explanation:
To find angle DFE, add 48 + 82 and then subtract the total from 180.
DFE = 50 degrees
To find angle ACB, add 90 + 64 and then subtract the total from 180.
ACB = 26 degrees
To find the angle that is opposite from x, add DFE (50) and ACB (26) together and then subtract the total from 180. This makes the angle 104 degrees. We know that x and the angle opposite from x are the same angle, because they are considered vertical angles. Therefore, x is also 104 degrees.
Hope this helped! :) Have a good night/day
add 1 and 1/3 + (-5/6)
Answers
Answer:
1/2
Explanation:
Let's remember how to sum 2 fractions:
\(\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}\)So, 1/3 + (-5/6) is equal to:
\(\frac{1}{3}+\frac{-5}{6}=\frac{(1\cdot6)+3\cdot(-5)}{3\cdot6}=\frac{6-15}{18}=\frac{-9}{18}\)Then, the addition of 1 and -9/18 is equal to:
\(1+\frac{-9}{18}=\frac{1}{1}+\frac{-9}{18}=\frac{(1\cdot18)+1\cdot(-9)}{1\cdot18}=\frac{18-9}{18}=\frac{9}{18}\)Now, we can divide the numerator and the denominator by 9 to get an equivalent fraction, so:
\(\frac{9}{18}=\frac{9\div9}{18\div9}=\frac{1}{2}\)Therefore, the answer is 1/2
Choose the polynomial that is written in standard form.
Answers
Respuesta:
C: 10xy^4 + 3x^3y^2 - 6x^2y
¡¡Espero te sirva!!
what is the least common denominator of 3/5 and 1/2
Answers
Answer:10
Rewriting input as fractions if necessary:
3/5, 1/2
For the denominators (5, 2) the least common multiple (LCM) is 10.
LCM(5, 2)
Therefore, the least common denominator (LCD) is 10.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
3/5 = 3/5 × 2/2 = 6/10
1/2 = 1/2 × 5/5 = 5/10
Answer:
Step-by-step explanation:
1/2 + 3/5 = 5/10 + 6/10 = (5+6)/10 = 11/10 or 1 1/10 Your pair of fractions is 5/10 and 6/10
48 packages /second = packages /minute
Answers
Answer:
2880 packages/min
Step-by-step explanation:
48 × 60 = 2880
Answer:
2,880 packages per minute
Step-by-step explanation:
Given:
60 seconds per minute
48 packages/second
Solve:
48 package/sec x 60 sec = 2,880 packages/min
Hope this helps!
Marty bought a $48 sweatshirt and used a coupon for a 10% discount. How much did Marty pay for the sweatshirt?
Answers
Answer:
$43.20
Step-by-step explanation:
10% of 48 is 4.8 or 4.80 so 48-4.80=$43.20
Answer:
$43.02
Step-by-step explanation:
$48 - 10% equals 43.02
Suppose there were m married couples, but that d of these 2m. people have died, Regard the d deaths as striking the 2m people at random. Let X be the number of surviving couples. Find:
Answers
The function that represents surviving people are X = 2m - d
Given that there are m married couples and d of the 2m of these couples have died, the total people that remain is expressed as:
Total people remaining = Total married couple - those that died
Total married couple = 2m
Total people that died = d
Taking the difference to get the remaining people;
Total people remaining = 2m - d
Hence the function that represents surviving people are X = 2m - d
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Approximately how many more hours a day are spent sleeping
than eating?
How students spend their time DAILY.
EATING
HOMEWORK
8%
WATCHINGTV
8%
13%
SOCIALIZING
13%
SLEEPING
33%
Isa
SCHOOL
25%
Answers
Students spend approximately 7.92 - 1.92 = 6 hours more sleeping than eating per day.
Based on the given data, students spend approximately 25% of their day at school, 33% sleeping, 13% socializing, 8% eating, 8% doing homework, and 13% watching TV.
To find out how many more hours are spent sleeping than eating, we need to convert these percentages into actual hours. Assuming a day has 24 hours, we can calculate the number of hours spent on each activity as follows:
Eating: 24 hours/day x 8% = 1.92 hours/day
Sleeping: 24 hours/day x 33% = 7.92 hours/day
Therefore, students spend approximately 7.92 - 1.92 = 6 hours more sleeping than eating per day.
It's important to note that these percentages are based on an average and may vary depending on the individual's lifestyle and schedule.
Additionally, the data does not account for other activities such as exercise, work, or commuting, which can also impact the amount of time spent sleeping and eating.
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what is the probability that after a fair coin is tossed 5 times that the result will contain 3 'heads' given that the first toss was a 'head' ?
Answers
Using Conditional probability,
The probability that after a fair coin is tossed 5 times that the result will contain 3 'heads' given that the first toss was a 'head' is 3/5.
A fair coin is tossed five times .
so, total possible outcomes = 2⁵ = 32
Let A: head observed on first toss
B: 3 heads observed.
Probability that the first toss was head (p) = 1/2
we have to find out probability that on 5 tosses result contain 3 heads given that first toss wss head .
Using Binomial Probability distribution
P (X= x) = ⁿCₓ (p)ˣ (q)⁽ⁿ⁻ˣ⁾
x = 3 , n = 5
we get , P(B) = P(X= 3 ) = ⁵C₃(1/2)³(1/2)²
=> P(B) = 10 ×(1/2)⁵= 5/16
since the first toss is fixed as a head.
P(A ∩ B) =P( X₁ = 1 and X₂+ X₃ + X₄ + X₅) = P(X₁= 1)P(X₂+X₃+X₄+X₅)
= 1/2 × ⁴C₂ (1/2)⁵ = 3 (1/2)⁴
The required probability is , Conditional probability P(B/A) = P(A ∩ B)/P(A)
= 3(1/2)⁴/ 5/16 = 3/5
Hence , the required probability is 3/5.
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What is the approximate value of sin C?
Answers
Explanation:
Sin is opposite over hypotenuse!
5/13.93 = 0.358938
Rounded to the nearest hundredth is 0.36 :)
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. What is the distance between Raou
house and the library?
miles
Answers
Answer:
1.7 miles
Step-by-step explanation:
Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.
AC² = AB² + BC²
AC² = 0.5² + 1.2²
AC = 1.3 miles
Hence, the distance between Raoul's home and the library is 1.3 miles.
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Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?
Answers
Answer:
each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*
AC=3(x-5) and BD = x +13
Answers
Answer:
AC = 27 , BD = 27
Step-by-step explanation:
• the diagonals of a rectangle are congruent , so
AC = BD , that is
3(x - 5) = x + 13
3x - 15 = x + 13 ( subtract x from both sides )
2x - 15 = 13 ( add 15 to both sides )
2x = 28 ( divide both sides by 2 )
x = 14
Then
AC = 3(x - 5) = 3(14 - 5) = 3(9) = 27
BD = x + 13 = 14 + 13 = 27
AC=15x. BD= -13
best answer gets brainliest
Answers
Answer:
B
Step-by-step explanation:
Divide 243.46 by 37 to solve for t
Step-by-step explanation:
37t means 37 x t. We are solving for t.
First, we need to divide 243.46 by 37.
243.46÷37=6.58
t=6.58
Now we need to check and make sure our answer is correct.
Since we are solving for t, we need to multiply 37 by 6.58 to make sure our answer is correct.
37 x 6.58= 243.46. We got 243.46 which means it is correct.
Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.
Answers
Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.
In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.
Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.
In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.
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four people are standing in a circle as shown. each person is given a t-shirt to wear. the shirts come in 3 different colors, and any two people next to each other cannot wear the same color shirt. how many ways are there to give t-shirts to the four people?
Answers
There are 3 x 2 x 2 x 1 = 12 possible ways to give t-shirts to the four people.
Here, there are 3 choices for the first person's shirt color, and 2 choices for the second person's shirt color (since they cannot wear the same color as the first person). This gives 3 × 2 = 6 total options for the first two people. For the third person, there are 2 choices for their shirt color (since they cannot wear the same color as either of the first two people). This gives a total of 6 × 2 = 12 options for the first three people. Finally, the fourth person has only 1 choice for their shirt color (since they cannot wear the same color as any of the previous three people). This gives a total of 12 × 1 = 12 options for all four people. Therefore, there are 12 total ways to give t-shirts to the four people.
These are the possible combinations:
Red, Blue, Green, Yellow
Red, Blue, Yellow, Green
Red, Green, Blue, Yellow
Red, Green, Yellow, Blue
Red, Yellow, Blue, Green
Red, Yellow, Green, Blue
Blue, Red, Green, Yellow
Blue, Red, Yellow, Green
Blue, Green, Red, Yellow
Blue, Green, Yellow, Red
Blue, Yellow, Red, Green
Blue, Yellow, Green, Red
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5. Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. If she bought 5 bottles of lemonade, how much was each bottle of lemonade?
Answers
Answer:
each bottle was 1.25
Step-by-step explanation:
subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade
Answer:
$1.25
Step-by-step explanation:
9.50=3.25+5x
9.50-3.25=6.25
6.25/5 bottles= x
x=1.25
If x=7cm what is the surface area of the geometric shape formed by this net
Answers
Let’s start with the four rectangles.
4 [ 2x(x)]
4 [ (2*7)(7)] = 392 cm^2
______________
Next, let’s find the SA for the two squares.
2 [(2x)^2]
** I need to be clear that both the 2 and the x in the parentheses are squared because the square, of course, is a “perfect square”. This was probably obvious and needless to say, haha oh well.
Next step: plug in values
2 [ [2(7)]^2 ] = 392 cm^2
TOTAL: 392+392 = 784 cm^2
Wow I should have realized the the 4 rectangles are the area as the two squares.
Good luck to you!
If you have any other math questions, I can try my best to answer them. Just send me a comment or whatever works.