answer:
1/3
step-by-step explanation:
knowing the definition of opposite reciprocal will be helpful. hope that helps!
Which absolute value functions will be narrower than the parent function, f(x) = |x|? check all that apply.
The absolute value function which will be narrower than the parent function is:
f(x) = 2.9|x|
Given parent function is f(x)=|x|
Now we have to find which function from given choices will be narrower than the parent function.
Notice that adding or subtracting some number from the parenth function only shifts the graph up, down, left of right side.
But that will not make function narrorwer or broader.
So f(x) = |x – 2| and f(x) = |x| + 3, can't be the answer.
Multiplying by some positive real number which is more than 1, makes function narrower.
Only f(x) = 2.9|x| from remaining choices fits that case.
Hence f(x) = 2.9|x| is the final answer.
f(x) = 1.2|x + 8| will also make the function narrower but will shift the parent function too.
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An observer standing on a cliff 320 feet above the ocean measured angles of depression of the near and far sides of an island to be 16° and 10° respectively. How long is the island to the nearest foot?
Answer:
The length of the island is 699 feet.
Step-by-step explanation:
Let the distance from the foot of the cliff to the near side be represented by x, and the distance from the foot of the cliff to the far side be represented by y.
Applying the trigonometric function to calculate the value of x;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan \(16^{o}\) = \(\frac{320}{x}\)
0.2867 = \(\frac{320}{x}\)
x = \(\frac{320}{0.2867}\)
= 1116.1493
x = 1116.15 feet
The distance from the foot of the cliff to the near side of the island is 1116.15 feet.
To determine the value of y;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan \(10^{o}\) = \(\frac{320}{y}\)
0.1763 = \(\frac{320}{y}\)
y = \(\frac{320}{0.1763}\)
= 1815.0879
y = 1815.09 feet
The distance from the foot of the cliff to the far side of the island is 1815.09 feet.
The length of the island = y - x
= 1815.09 - 1116.15
= 698.94
The length of the island is 699 feet.
PLEASEEEEE HELP ME......
Answer:
B makes the most sense.
Step-by-step explanation:
The others make little to no sense.
Answer:
B is the correct answer. it makes sense
A measure of goodness of fit for the estimated regression equation is the.
A measure of goodness of fit for the estimated regression equation is the residual standard error (RSE)
It is a measure of goodness of fit for the estimated regression equation. It measures the average amount that the response variable (y) deviates from the estimated regression line, in the units of the response variable.
The RSE is calculated as the square root of the sum of squared residuals divided by the degrees of freedom. A smaller RSE indicates a better fit of the regression line to the data.
It represents the proportion of the variation in the dependent variable that is explained by the independent variable(s) in the model. The value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the model to the data.
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ten drill bits are randomly selected from a process. the times to failure (i.e., loss of acceptable sharpness) for the bits are recorded as 37, 39, 42, 43, 49, 50, 54, 55, 59, and 63 hours. assuming the failure times have a weibull distribution, analyze the data using probability plotting. estimate the shape and scale parameters. plot the original data versus the cdf model corresponding to your parameter estimates. add confidence limits.
In probability plotting, a graph of the cumulative distribution function (CDF) is plotted against a transformed version of the data to determine if the data come from a particular distribution.
The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.
This can be used to analyze the times to failure (i.e., loss of acceptable sharpness) for a random selection of ten drill bits from a process that follows a Weibull distribution.
To estimate the shape and scale parameters
follow these steps:
Step 1: Rank the data from smallest to largest
Step 2: Calculate the failure probability of each data point using the formula: i/(n+1), where i is the rank of the data point and n is the number of data points.
Step 3: Transform the failure probabilities using the inverse Weibull distribution function: F^(-1)(p) = (−ln(1−p))^β for a given shape parameter β and scale parameter η.
Step 4: Plot the transformed data against the theoretical distribution, which is a straight line for the Weibull distribution.
Step 5: Find the best-fitting line by eye, or by using regression analysis.
The slope of the line is equal to the shape parameter β, and the intercept is equal to the logarithm of the scale parameter ln(η).
The Weibull distribution can be represented as:\(F(x) = 1 − e^(-(x/η)^β)\), where β is the shape parameter and η is the scale parameter. The CDF model corresponding to your parameter estimates can be plotted by using the formula . This can be done by calculating the standard deviation of the residuals, and then calculating the upper and lower limits of the confidence interval using the t-distribution.
The confidence interval can be calculated as:β ± t(n−2,α/2) x SE(β)ln(η) ± t(n−2,α/2) x SE(ln(η))where SE(β) is the standard error estimate for the shape parameter, SE(ln(η)) is the standard error estimate for the logarithm of the scale parameter, and t(n−2,α/2) is the critical value of the t-distribution with n−2 degrees of freedom and a significance level of α/2.The confidence limits can be plotted as two parallel lines around the best-fitting line. The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.
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. provide a description for the standard error. what does it measure? b. what assumption are we making when calculating the standard error of the mean? 372 c. what would you recommend the researchers do next to reduce the standard error of their estimate of the mean home range size?
The standard error measures the variability of the sample mean from the true population mean. It represents the standard deviation of the sampling distribution of the mean and gives an estimate of how much the sample means will vary from one sample to another.
b. When calculating the standard error of the mean, we assume that the sample was randomly selected from the population, and that the sample size is large enough (usually, n > 30) for the central limit theorem to apply.
c. To reduce the standard error of their estimate of the mean home range size, researchers could increase the sample size, which will decrease the standard error by reducing the variability of the sampling distribution of the mean.
Alternatively, they could improve the precision of their measurements or reduce measurement errors to decrease the standard deviation of the sample, which will also decrease the standard error.
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Name two decimal numbers between
0.35 and 0.36.
Answer:
0.351
0.352
Step-by-step explanation:
you can go even smaller by a digit
for example:
0.35111111111111111111... is still between 0.35 and 0.36
there are so many possibilities by the way...
Can someone explain me how to do this? No answers, just explanation how to solve. Click on the picture to see the question.
Answer:
800 cm
Step-by-step explanation:
x = height of lamp post
set up a proportion:
90/160 = 450/x
cross-multiply:
90x = 72000
x = 800
Answer:
Since you did not want the answer the things you need to solve this question are below.
Step-by-step explanation:
In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.
Divide and answer in simpilist form: 1/2 ÷4
Answer:
1/8
Step-by-step explanation:
1/2 ÷4
Copy dot flip
1/2 * 1/4
1/8
Answer:
1/8
I want brainliest!!! :)
Step-by-step explanation:
1/2 divided by 4
1/2/4 = 1/8
X= -5 y=2 work out the VALUE if 3x + 4y
Answer:
I think the answer is -7
because : 3(-5) + 4(2)
-15 + 8
= -7
please answer homework please answer all 3
Answer:
Question 1: 4 x 11
Question 2: x = 7
Question 3: 32x
Step-by-step explanation:
(q014) how many of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise?
five out of of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise
If you were to attribute this film, that means you'd say that (something) caused the success of the movie Rocky. This question is basically asking what do you think made this movie a big hit? Personally, I'd say it's because of how the storyline and plot turned out. It's very intriguing and it doesn't just make the movie about boxing. The film adds some love between the protagonist and some other character, and not only that, but the movie teaches you something. Because Rocky lost to Apollo, Rocky didn't care. At least he still had Adrian. So, the movie teaches you that, even if you do lose, at least you still have something and/or someone with you.
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Consider this triangle.
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
how would you decide if you needed a univariable (i.e., simple linear regression) or multivariable linear regression model?
The decision to use a univariable or multivariable regression model depends on the research question, data availability, model complexity, and goodness of fit.
What is the linear regression equation?
The formula for simple linear regression is Y = mX + b, where Y is the response (dependent) variable, X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept.
When deciding whether to use a univariable or multivariable linear regression model, there are several factors to consider:
Research question: Consider the research question you are trying to answer. If you are interested in understanding the relationship between a single independent variable and a dependent variable, then a univariable regression model may be sufficient. However, if you want to explore the effect of multiple independent variables on a dependent variable, then a multivariable regression model may be more appropriate.
Data availability: Look at the data you have available. If you have only one independent variable that you believe is relevant to your research question, then a univariable regression model may be appropriate. However, if you have multiple independent variables that could potentially influence the dependent variable, then a multivariable regression model may be necessary.
Model complexity: Consider the complexity of the model you want to build. If you are interested in a simple linear relationship between an independent variable and a dependent variable, then a univariable regression model may be sufficient. However, if you believe that there are interactions between multiple independent variables that could affect the dependent variable, then a multivariable regression model may be necessary.
Model fit: Evaluate the goodness of fit of both univariable and multivariable models. Compare the R-squared values of each model to determine which model provides a better fit to the data. A higher R-squared value indicates a better fit between the independent and dependent variables.
Hence, the decision to use a univariable or multivariable regression model depends on the research question, data availability, model complexity, and goodness of fit.
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the tortoise beetle feeds and lays eggs on leaves of the two morning glory species i. pandurata and i. purpurea.
The tortoise beetle is a type of beetle that feeds and lays its eggs on the leaves of two morning glory species: ipomoea pandurata and ipomoea purpurea.
These beetles are known for their unique shell-like appearance, which provides them with a layer of protection against predators. When it comes to feeding, tortoise beetles consume the leaves of these morning glory plants, which can cause damage to the foliage. This can affect the overall health of the plants, as well as their ability to produce flowers and seeds. Additionally, the beetles may lay their eggs on the leaves of these plants, which can lead to further damage as the larvae hatch and begin to feed. It's worth noting that while tortoise beetles can be a nuisance for gardeners and plant enthusiasts, they do play an important role in the ecosystem. They are considered beneficial insects, as they help to control the population of other pests that may be harmful to plants. In summary, the tortoise beetle feeds and lays eggs on the leaves of ipomoea pandurata and ipomoea purpurea. While they can cause damage to these plants, they also serve a valuable purpose in controlling other pests in the ecosystem.
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write the answer as a base raised to a power or as the product of bases raised to powers that is equivalent to the given one. (hint: write using symbols, what you should do once you know what the exponents are really worth.) (xmynzp)q
The expression (xmynzp)q can be written as xq * yq * zq * p*q, where each base is raised to the power of q.
To simplify the expression (xmynzp)q, we can apply the exponent rules. According to the rule (ab)c = aᶜ * bᶜ, we can distribute the exponent q to each term inside the parentheses.
Starting with the expression (xmynzp), we raise each variable to the power of q:
(xmynzp)q = xq * yq * zq * p*q
This means that each base, x, y, z, and p, is raised to the power of q.
The result of simplifying the expression (xmynzp)q is xq * yq * zq * p*q. Each base is raised to the power of q, and the product of these terms gives the final simplified expression.
Therefore, we have simplified the expression (xmynzp)q to xq * yq * zq * p*q.
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Ivan and Yvonne have some licorice rope. Ivan has 1/4 of a rope and Yvonne has 2/3 of a rope.
If they place their licorice end-to-end, which fraction of a licorice rope do they have
A 3/7
B 11/12
C 1/4
D 1/6
E 3/8
Answer: B
Step-by-step explanation: ¼ + ⅔ = 11/12
x^3x^5=x^p, where p=
Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.
Therefore,
\(x^(3+5) = x^8\)
Now,
\(x^(3+5) = x^8\)
is of the form:
\(x^b = x^p\)
When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,
p = 8
There we have it. The value of p is 8. The full solution is shown below:
\(x^3 × x^5 \\= x^px^8\\ = x^p\)
We can see that the base of the exponential expression on either side is equal.
Therefore, the power of the base must be equal as well. In other words
,p = 8.
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find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a
Solve.
4x +6 <−6
b
Solve.
−2/5 x −9 < 9/10
bbbbbbbbbbbbbbb bbbbbbbbbbbbbb
Amiron buys a tarp to cover that area under his tent tent has an area of 5 ft. ² the tarp bought is 2 2/3’ x 2 1/4’ will the tide be big enough to cover the area under Amiron’s tent?
The tarp bought by Amiron, which has dimensions of 2 2/3' x 2 1/4', may not be big enough to cover the area under his tent, which has an area of 5 ft².
To determine if the tarp is big enough to cover the area under Amiron's tent, we need to compare the dimensions of the tarp to the area of the tent.
The area of the tarp can be calculated by multiplying its length and width. In this case, the tarp has dimensions of 2 2/3' x 2 1/4'. Converting these mixed numbers to improper fractions, we have 8/3' x 9/4'. Multiplying these fractions gives us an area of (8/3) x (9/4) = 72/12 = 6 ft².
Comparing the area of the tarp (6 ft²) to the area of the tent (5 ft²), we can see that the tarp is larger than the tent. Therefore, the tarp is big enough to cover the area under Amiron's tent.
It is important to note that it's ideal to have a tarp that is larger than the area to be covered, as it provides better coverage and protection. In this case, the tarp is larger than the tent, which should be sufficient for covering the area underneath.
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Rewrite by completing the square 2x^2+7x+6=0
Answer:
\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
Which equation has the same solution as
x2+4x-13=-7
Answer:
6x - 3 + 4x = 13
10x - 3 = 13
10x = 16
x = 1.6
Any equation whose solution is x=1.6 has the same solution as this one has.
Step-by-step explanation:
The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a times x equals negative c over a Step 4 x2 + b over a times x plus b squared over 4 times a squared equals negative c over a plus b squared over 4 times a squared Step 5 x2 + b over a times x plus b squared over 4 times a squared equals negative 4 multiplied by a multiplied by c, all over 4 multiplied by a squared plus b squared over 4 times a squared Step 6 Provide the next step to derive the quadratic formula. x plus b over 2 times a equals plus or minus b squared minus 4 times a times c all over the square root of 4 times a squared x plus b over 2 times a equals plus or minus b minus 2 times a times c all over square root of 2 times a x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 2 times a
Answer:
\(x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}\)
Step-by-step explanation:
Step 1:
\(ax^2+bx+c = 0\)
Step 2:
\(ax^2+bx = -c\)
Step 3:
\(\frac{ax^2+bx}{a} = \frac{-c}{a}\)
Step 4:
Adding \(\frac{b^2}{4a^2}\) to both sides to complete the square
\(x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}\)
Step 5:
\(x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}\)
Step 6:
Taking square root on both sides
\(x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}\)
Answer:
A. Rewrite the perfect square trinomial as a binomial squared on the left side of the equation
Step-by-step explanation:
Consider a circular function that tracks the height, h, of a point traversing a unit circle centered at (0,0), h=f(d) where d is the distance traveled around the circle from the starting point (1, 0). What is the exact value of f(pi)?
The exact value of f(pi) is 0 since when the point on the unit circle has traveled pi distance from its starting point (1,0), it will be at the same height as the starting point.
Let us consider a point on a unit circle centered at (0,0), starting at the point (1,0) and moving around the circle for a distance d. As the point moves around the circle, its height, h, above the x-axis will vary. To find the exact value of f(pi), we need to determine the height of the point when it has traveled a distance of pi around the circle.
When the point has traveled half the distance around the circle, i.e., pi/2, it will be at the point (-1,0), and its height will be 0 since it is on the x-axis. As the point continues to move around the circle, its height will increase until it reaches its maximum height at the point (0,1), where its height is 1.
As the point continues to move around the circle, its height will decrease until it reaches point (1,0), where its height is again 0. Therefore, f(pi) is equal to the height of the point when it has traveled a distance of pi around the circle, which is equal to the height of the point when it is at the point (1,0). Thus, f(pi) = 0.
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A home’s value increases at an average rate of 5.5 % each year. The current value is $120,000. What function can be used to find the value of the home after x years?
Answer:
\(y = 120000( {1.055}^{x} )\)
Simplify -8k + 10m - 10 - 3k + 5m SHOW YOUR WORK PLEASE
(GIVING BRAINLIEST)
Answer:
15m-11k-10
Step-by-step explanation:
combine like terms by subtracting 3k from -8k and by adding 5m to 10m.
Answer:
-11k + 15m - 10
Step-by-step explanation:
\(-8k + 10m - 10 - 3k + 5m\)
rearrange the terms
\(-8k-3k+10m + 5m - 10\)
Now simplify each section
\(-11k+15m-10\)
Which of the following compounds is most basic? ∇∘v∘Υ[infinity]∇∘O∘ I need help with this practice problem, I chose structure number one, because it was the weakest acid ( meaning more stability, more stability meaning delocalization). But I am not sure now Which of the following compounds is most basic? ∇∘∇∘∇∘∇0 I need help with this practice problem, I chose structure number one, because it was the weakest acid ( meaning more stability, more stability meaning delocalization). But I am not sure now
Structure number one is the most basic compound.
What is the basis for determining the basicity of a compound?In determining the basicity of a compound, several factors come into play, including the strength of the conjugate acid, stability, and delocalization. Among the given structures, structure number one is considered the most basic compound. This conclusion is based on the understanding that the weaker the acid, the stronger its conjugate base, and therefore, the more basic the compound.
When a compound acts as an acid, it donates a proton (H+) to another compound. The strength of the acid is determined by the ease with which it loses a proton. Conversely, when a compound acts as a base, it accepts a proton. The basicity of a compound is dependent on the stability and availability of the lone pair of electrons on the atom that can accept the proton.
Structure number one, being the weakest acid among the given options, indicates that its conjugate base is more stable. This stability arises from the delocalization of the negative charge over a larger area, typically achieved through resonance or electron delocalization. The presence of resonance structures allows the negative charge to be spread out, increasing stability. Consequently, the lone pair of electrons on the atom is more accessible for accepting a proton, leading to a higher basicity.
It is important to note that basicity is not solely determined by the strength of the acid. Other factors, such as the electronegativity of the atom bearing the negative charge and the presence of any electron-withdrawing or electron-donating groups, can also influence basicity. However, in the context of the given structures, structure number one exhibits the characteristics of a strong conjugate base and is therefore the most basic compound.
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Quadrilateral A B C D is a rectangle.
Find the measure if m∠2 = 40 .
m ∠ 6
The measure of angle ∠6 is 50° .
Given,
ABCD is a rectangle.
Here,
∠1 + ∠2 = 90°
AB is parallel to CD .
AB = CD
AC is parallel to BD .
AC = BD
∠1 + 40° = 90°
∠1 = 50°
The lines parallel to each other subtends equal angle.
So,
∠3 = ∠2 = 40°
∠1 = ∠4 = 50°
Diagonals of rectangle are equal and bisect each other .
Thus,
∠6 = ∠4 = 50°
Hence the measure of angle ∠6 is 50 degrees .
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Complete image is attached below.
Y'all I need help no links please will mark brainliest
The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
A coordinate plane is shown. Triangle ABC Is formed by the points 2 commas 5, 2 comma 3, and 4 commas 3. Triangle 2 is formed by the points negative 3 commas 5, negative 3 commas 3, and negative1 comma 3. Triangle 1 is formed by the points negative 4 commas 5, negative 4 commas 3, and negative 6 commas 3. Triangle 3 is formed by the points negative 6 commas 2, negative 4 commas 2, and negative 4 commas 0. Triangle 4 is formed by the points 2 commas negative 1, 4 commas negative 1, and 4 commas negative 3.
Which of the four triangles was formed by a translation of Triangle ABC?
1
2
3
4
Answer:
Triangle 2
Step-by-step explanation:
The translation is a type of transformation, where the figure is just translated or simply moved from its original place.
The figure is not rotated or dilated but simply moved.
Here, we can see that only figure or triangle 2 is like the triangle ABC. Other triangles have undergone other transformations.
So, the correct answer is triangle 2.
~Hope this helps~