Answer: 0.09
Step-by-step explanation:
;)
Over which interval is the graph of the parent absolute value function decreasing?
(–[infinity], [infinity])
(–[infinity], 0)
(–6, 0)
(0, [infinity])
The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.
The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.
Let's analyze the behavior of the parent absolute value function:
For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.
For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.
At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.
Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).
In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.
On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.
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1/2 + 2/3 divided by 1/6
Answer:
4 1/2
Step-by-step explanation:
Step 1:
1/2 + 2/3 ÷ 1/6 Equation
Step 2:
1/2 + 2/3 × 6/1 Flip the Fraction
Step 3:
1/2 + 2/1 × 2/1 Simplify
Step 4:
1/2 + 4 Multiply
Answer:
4 1/2 Add
Hope This Helps :)
Create an equation to represent the following situation: I am selling rings for $2 and pins for $1. I want to make $40. Let x represent the number of rings and y represent the number of pins. (SOMEONE HELP PLEASE)
About 90 percent of seventh graders prefer texting to emailing. In a
sample of 550 seventh graders, how many do you predict will prefer
texting? Use the following picture to help you work out the problem.
0.9 x 550 =
seventh graders will likely prefer texting.
DoubleStuf Oreo cookies are supposed to have twice the filling of regular Oreo cookies, which are known to have a mean of 2.9 g. You and some friends decide you want to know if that is a true assertion by the company who makes them. You take a sample of 55 DoubleStuf Oreo cookies and measure the amount of filling in each one. You need to construct a confidence interval to estimate the true mean filling amount of DoubleStuf Oreos. Which confidence interval would be most appropriate for this study?
The sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value of the t-distribution with (n - 1) degrees of freedom.
For the given case, the most appropriate confidence interval would be the t-interval for the population mean. Confidence interval: A confidence interval refers to the range of values that are likely to include the population parameter. Confidence intervals provide us with a range of values where the true mean lies with some degree of certainty. The formula to calculate a confidence interval for the mean with a known population standard deviation is as follows
\(:\[\overline{x}-z\frac{\sigma }{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+z\frac{\sigma }{\sqrt{n}}\]Where, \[\overline{x}\]\) is the sample mean, σ is the population standard deviation, z is the critical value of the normal distribution and n is the sample size.
Now, since the population standard deviation is unknown, a t-distribution must be used instead of the normal distribution. Thus, the formula to calculate a confidence interval for the mean with an unknown population standard deviation is as follows:\(\[\overline{x}-t\frac{s}{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+t\frac{s}{\sqrt{n}}\]\)
Where, s is the sample standard deviation, and t is the critical value of the t-distribution with n - 1 degrees of freedom. Given that the sample size is 55, the appropriate degrees of freedom to use would be (55 - 1) = 54.Since we are constructing a confidence interval for the true mean filling amount of DoubleStuf Oreos, the appropriate confidence level to use would depend on the desired level of certainty or the margin of error. Commonly used levels of confidence are 90%, 95%, and 99%. A 95% confidence level is usually preferred for most cases.
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Help with this question please!
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Determine the dot product ⟨4,−5⟩⋅⟨3,−2⟩
Answer: 22 the answer is 22 but id.k if thats what ur looking for
Step-by-step explanation:
An ice cream shop sells cones in two sizes.
A large cone has a diameter of 3 inches
and a height of 5 inches while a small
cone has a diameter of 2 inches and a
height of 5 inches. Find the difference in
volume of the cones to the nearest
tenth.
SOLUTION:
HOW DO YOU KNOW?
Y’all I need help ASAP!! All work is due at 12am and I can’t fail.
Answer: The difference is 6.5 inches.
Step-by-step explanation:
The volume of a cone uses the formula V= nr^2 h/3
So the large cone's volume is V= 3.14 * 1.5^2 *5/ 3
v= 11.775
The volume of the small cone is V= 3.14 * 1^2* 5/3
V=5.23
Now find the difference. 11.775 - 5.23= 6.54
Round to the nearest tenth is 6.5
Please help!
I will mark brainliest to correct answer.
1/2 is the probability that the number will add up to more than 4. Option C is correct
Application of probabilityProbability is defined as the likelihood or chance that an event will occur.
Probability = Expected/Total
From the given spinner, the total outcome is expressed according to the permutation
For orange spin
3P2 = 3!
3P2 = 6
For green spin
4P2 = 4!/2!
4P2 = 12
If they are both spinned, the probability that the sum will be more than 4 are:
Expected (orange) = {(2,3)}
Expected (green) = {((1, 3), (3, 4) (2, 4), (2,3)}
Pr(number added is 4) = 1/6 + 4/12
Pr(number added is 4) = 2+4/12
Pr(number added is 4) = 1/2
Hence the probability that the number will add up to more than 4 is 1/2
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jesaki car sharing offers a membership plan with a $55 per month fee that includes 10 hours of driving each month and charges $13 for each additional hour. let be the cost for a month in which a member uses a car for hours. consider the following limits. compute 2. round to the nearest cent. enter 0 if the limit does not exist.
The limit of the cost for a month as the number of hours approaches 10 is $55.
When a member uses the car for exactly 10 hours, the cost is covered by the $55 per month fee, which includes 10 hours of driving. Since the fee already covers the cost, there are no additional charges for those 10 hours.
To calculate the limit as the number of hours approaches 10, we consider what happens as the number of hours gets closer and closer to 10, but never reaches it. In this case, as the number of hours approaches 10 from either side, the cost remains the same because the fee already includes 10 hours of driving. Thus, the limit of the cost for a month as the number of hours approaches 10 is $55.
Therefore, regardless of whether the number of hours is slightly below 10 or slightly above 10, the cost for a month will always be $55.
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Find the equation of the line with slope = -6 and passing through (-2,10). Write your equation in the
form y = mx + b.
Submit Question
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies -6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-6}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-10=-6(x+2)\implies y-10=-6x-12\implies y=-6x-2\)
Use the graph to write the explicit rule of the arithmetic sequence.
Question 19 options:
A)
ƒ(n) = 9 + 2(n – 1)
B)
ƒ(n) = 5 + 3(n – 1)
C)
ƒ(n) = –3 + 2(n – 1)
D)
ƒ(n) = 3 + 2(n – 1)
Answer: D
Step-by-step explanation:
The first term is 3 and the common difference is 2.
Substituting into the explicit formula for an arithmetic sequence gives D as the correct answer.
find the solution to #12 - You work at a carnival for 7.5 hours. You earn $71.25. Determine the hourly rate, r, for the time you worked
Answer:
$9.50/hour
Step-by-step explanation:
All you need to do is 71.25/7.5 (money earned ÷ hours worked) to get 9.5!
Find the percent of markup for $13.50 marked up to $25. Round to the nearest percent.
A.
46%
B.
85%
C.
11.5%
D.
72.5%
Answer:
B
Step-by-step explanation:
Answer:
Just took the test the answer is 85%
Evaluate each expression if x=14, y=5, and z=6.
x+(-2y+z)
1) -56
2) 24
3) 18
4) 10
Answer:
option 4
Step-by-step explanation:
substitute the given values for x, y and z into the expression
x + (- 2y + z)
= 14 + (- 2(5) + 6)
= 14 + (- 10 + 6)
= 14 + (- 4)
= 14 - 4
= 10
Answer:
-56
Step-by-step explanation:
Below are Hubble plots for three different universes (A-C). If all three universes are the same size, rank the ages of the universes from oldest to youngest. Velocity Velocity Velocity Distance Distance Distance A. A>B> B.>B>A C.B>A>C D.B>> E. None of the above.
The ranking of the ages of the universes from oldest to youngest, based on the given Hubble plots, is: A. A > B > C
To determine the ranking, we need to analyze the Hubble plots and understand the relationship between velocity and distance. In a Hubble plot, the velocity of galaxies is plotted against their distance from an observer. The slope of the plot represents the Hubble constant, which is a measure of the rate of expansion of the universe. A steeper slope indicates a higher value of the Hubble constant, implying a younger universe.
Analyzing the plots: A. In plot A, the slope is steeper, indicating a higher Hubble constant. This suggests a younger universe compared to the other plots. B. In plot B, the slope is less steep than in plot A, indicating a lower Hubble constant and a relatively older universe compared to plot A. C. In plot C, the slope is the shallowest, suggesting the lowest Hubble constant and the oldest universe among the three plots.
Therefore, based on the Hubble plots, the ranking of the ages of the universes from oldest to youngest is A > B > C. Plot C represents the oldest universe, followed by plot B, and plot A represents the youngest universe.
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factor out the gcf: 5xy-2y
Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.
t=3.673900
Explanation:Given
df = 28df=28 -- degree of freedom
Area = 0.005Area=0.005
Required
Determine the t-value
The given parameters can be illustrated as follows:
P(T > t) = \alphaP(T>t)=α
Where
\alpha = 0.005α=0.005
So, we have:
P(T > t) = 0.005P(T>t)=0.005
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900
Hence, t = 3.673900t=3.673900
Two sides of a rectangular prism are x+5 and x-1, if the volume is X cubed +10 X squared +19 X -30. Find the missing side.
ik how to do the algrebra itself but can someone pls explain what this problem is telling me to do
Using the volume x³ + 10x² + 19x - 30, the missing side of the rectangular prism is (x + 6)
How to find the missing side of the rectangular prism?Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x - 30.
Let's find the missing side of the rectangular prism.
Therefore,
volume of a rectangular prism = lwh
where
l = lengthw = widthh = height of the prismTherefore,
volume of the prism = x³ + 10x² + 19x - 30
Let's factorise it to find the missing side length
x³ + 10x² + 19x - 30 = 0
(x - 1)(x² + 11x + 30)
let's factorise x² + 11x + 30
x² + 11x + 30
x² + 5x + 6x + 30
x(x + 5) + 6(x + 5)
(x + 6)(x + 5) = 0
Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)
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A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
B : Find a mixture that will make the same shade of green but a larger amount.
Answer:
4 cups of yellow with 7 cups of blue
Step-by-step answer:
simply just double both amounts of paint and the ratios should even making the same shade of paint
......................
Hey again!
The answer to your question is 14.54 inches
We can find this by doing 1454/100, and that is 14.54.
Hope it helps, have a great day! Let me know if there's more to help with.
Funny has five pages left in her album about how many pictures can she plays on each remaining page
Answer:
equal parts of this story is the order I am the first thing to say about this
Complete the following table.
Problem
Function
Domain Range
The number of shoes in x pairs of shoes
The cost to park in a mall garage is P 50 entry
fee plus P10 per four
A swimming pool in a hotel is draining at a rate of
3 feet per minute
please help.
For the problem , (a) The cost to park in a mall garage is $50 entry fee plus $10 per four , the function is y = 50 + 10x , the domain is (0,∞) and range is also (0,∞) .
and (b) A swimming pool in a hotel is draining at a rate of 3 feet per minute , the function is y = -3t , domain is (0,∞) and range is (0,∞) .
Part(a) ;
The cost to park in a mall garage is $50 entry fee plus $10 per four ;
the the number of hours be = "x" ;
the fixed entry fees for the mall garage is = $50 ;
the per hour charge for the garage is = $10 ;
it can be represented as : y = 50 + 10x ;
the function is : y = 50 + 10x ;
The domain of this function is (0,∞) , as the input hours can't be negative and
the range of function is (0,∞) as the charge cannot be negative
since the parking hours will be non negative .
Part(b) ,
A swimming pool is draining at the rate of 3 feet per minute.
Rate of draining is represented as "y = -3t" where t is number of minutes and
the negative sign in the function denotes the water is draining .
The domain and Range of this function is (0,∞) , as the input hours can't be negative .
The given question is incomplete , the complete question is
Find the Function , Domain and Range for the following problems :
(a) The cost to park in a mall garage is $50 entry fee plus $10 per four.
(b) A swimming pool in a hotel is draining at a rate of 3 feet per minute.
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in how many ways can a committee of three men and four women be formed from a group of 11 men and 11 women?
There are 54,450 ways to form a committee of three men and four women from a group of 11 men and 11 women.
To form a committee of three men and four women from a group of 11 men and 11 women, you can use the combination formula.
The formula for the number of ways to choose k items from a group of n items is: (n choose k) = n!/(k!(n-k)!)
We can use this formula to calculate the number of ways to choose 3 men and 4 women from the group of 11 men and 11 women.
(11 choose 3) * (11 choose 4) = 165 * 330 = 54,450
Thus, there are 54,450 total ways to form a committee of three men and four women from a group of 11 men and 11 women.
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12.7 larson geometry of two solids are similar with a scale factor of p:q, then corresponding areas have a ratio of and corresponding volumes have a ratio of
When two solids are similar with a scale factor of p:q, their corresponding areas have a ratio of (p/q)^2 and their corresponding volumes have a ratio of (p/q)^3.
This means that if you were to take two similar solids and enlarge one by a factor of p and the other by a factor of q, the ratio of their areas would be (p/q)^2 and the ratio of their volumes would be (p/q)^3. This property is very useful in geometry and can be used to solve many problems involving similar solids. If two solids are similar with a scale factor of p:q, then their corresponding areas have a ratio of p²:q², and their corresponding volumes have a ratio of p³:q³.
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Water Temperature if the variance of the water temperature in a lake is 29°, how many days should the researcher select to measure the temperature to estimate the true mean within 4° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number. ole BU The researcher needs a sample of at least days,
The researcher needs to select a sample of at least 12 days to estimate the true mean of the water temperature within 4° with 99% confidence.
In order to estimate the true mean of the water temperature in a lake within a certain range with 99% confidence, the researcher needs to select a sample of at least a certain number of days.
To determine the number of days the researcher should select to measure the temperature, we can use the formula for sample size calculation in estimating the population mean. The formula is given by:
n = (Z^2 * σ^2) / E^2
where n is the required sample size, Z is the Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of approximately 2.57), σ^2 is the variance of the population (given as 29°), and E is the desired margin of error (4° in this case)
Substituting the values into the formula, we get:
n = (2.57^2 * 29) / 4^2
n = (6.6049 * 29) / 16
n = 191.2961 / 16
n ≈ 11.96
Since the sample size must be a whole number, we round up to the next whole number. Therefore, the researcher needs to select a sample of at least 12 days to estimate the true mean of the water temperature within 4° with 99% confidence.
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9m + 3m -m = what's the correct answer?
Answer:
11m
Step-by-step explanation:
Simplify
9m+3m−m
=9m+3m+−m
Combine Like Terms:
=9m+3m+−m
=(9m+3m+−m)
=11m
Answer:
=11m
Answer:
11m
Step-by-step explanation:
9m + 3m - m = ?
just look at it without the variables: m
9 + 3 - 1 = ?
The reason there is a 1 before the m is because there is always atleast a 1 before a variable. 1 x m = m, but 0 x m = 0. so '1'.
ok so now lets solve
9 + 3 - 1
12 - 1
11
so the answer is 11, add the variables back
9m + 3m - m
12m - m
11m
I can’t solve or bring myself to understand it :/ I’m having difficulties
Answer:
x = 50
Step-by-step explanation:
Since the output is 0, x^2 is 2500 but written differently.
Just take the square root of 2500, which is 50.
50^2 = 2500
2500 - 2500 = 0
Data collected over several time periods are
a. time series data
b. time controlled data
c. cross-sectional data
d. time dependent data
Data collected over several time periods are called time series data.
Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.
Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.
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Amy converted some Australian dollars ($) into pounds (£) using the
exchange rate below. She received £40.50.
How many dollars did Amy convert?
Exchange rate
$1
£0.54
Using the exchange rate, Amy converted $75 into pounds.
What is the exchange rate?The exchange rate is the unit at which one currency is changed to or converted into another.
The exchange rate converts a country's currency into another.
The exchange rate shows the worth of one currency against another.
Exchange rate = $1: £0.54
Amount received = £40.50
The dollars converted into pounds = $75 (£40.50/£0.54)
Check:
$75 to pounds = £40.50 ($75 x £0.54)
Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.
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