y=-x +3 Line equation (y=mx+b)
y= -1 Line equation (constant function y= b )
1) Let's start with the first graph.
1.1) Picking two points from a linear equation is enough to find the rule for that function. So, counting we have the following points:
(0,3) and (5,-1)
1.2) Plugging those points into the slope-intercept formula:
m = -1-3/5
m=3/5
1.3) Plugging in one point into the y=mx +b
(0,3)
3=-1(0)+b
3=+b
b=0
y=-x +3
b) For the second one, this is simpler y= -1, for it is a horizontal line at point y=-1.
What are the factors of negative 3?.
Step-by-step explanation:
The factors of -3 are -1, -3.
This is the process of building a model that can be modified before the actual system is installed.
A. Rapid applications development
B. Prototyping
C. Systems analysis
D. Systems maintenance
This is the process of building a model that can be modified before the actual system is installed is B. Prototyping
The answer to the question is B. prototyping. Prototyping is the process of building a preliminary model of a system, which can be modified and improved upon before the final system is installed. This allows for errors to be identified and corrected early on in the process, reducing the risk of costly mistakes later. Prototyping is often used in software development and other types of system design, where it can be difficult to predict exactly how the system will function until it is actually built and tested. Systems analysis is a related process that involves studying existing systems to identify areas for improvement, while systems maintenance involves maintaining and updating existing systems to ensure that they continue to function properly. Overall, prototyping is an important tool for ensuring that complex systems are built correctly and meet the needs of their users.
Visit here to learn more about Prototyping:
brainly.com/question/30455437
#SPJ11
a designer chooses to use an organization that decreases the logic depth of the processor. all else being constant, will the performance likely increase, decrease, or stay the same?
The performance is likely to increase, as the feature size will be reduced, leading to increased efficiency of the processor.
Effect of Decreasing Feature Size on Processor Performance
The performance of a processor is largely determined by its feature size. As the feature size decreases, the processor can process more information in a given time due to the increased efficiency of its components. In this case, the designer has chosen to use a manufacturing process that decreases the feature size of the processor. This means that the processor will be able to process more information in a given time, leading to an increase in performance. All else being constant, the performance of the processor is likely to increase.
Learn more about processors:
brainly.com/question/1504260
#SPJ4
Describe shock ads then provide an example of a shock ad, which
you feel is effective.
Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.
An example of a shock add is Poking fun at events
What are shock advertisement?By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.
The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.
These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.
Learn more about advertising at: https://brainly.com/question/1020696
#SPJ1
Write tan 41π/36 in terms of the tangent of a positive acute angle.
tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.
First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):
41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π
Now, we can rewrite the angle as:
tan(41π/36) = tan((10/9)π + (1/36)π)
Next, we'll use the tangent addition formula, which states that:
tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))
In this case, A = (10/9)π and B = (1/36)π.
tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))
Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.
For (10/9)π, we can subtract π to get an equivalent angle within the range:
(10/9)π - π = (1/9)π
Similarly, for (1/36)π, we can add π to get an equivalent angle:
(1/36)π + π = (37/36)π
Now, we can rewrite the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.
For more about tangent:
https://brainly.com/question/19064965
#SPJ4
HURRY PLEASEEEEEE How many 4/5 inch strings can you cut from a 16 inch string? *
Answer:
op 1
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
16x5=80
80/4=20
What is the area of this
Answer:
832
Step-by-step explanation:
y 32 * 26
Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?
A.
\(y = \frac{4}{5} x + \frac{5}{4} \)
B.
\(y = \frac{5}{4} x\)
C.
\(y = \frac{4}{5} \)
D.
\(x = \frac{5}{4} \)
Answer:
C
Step-by-step explanation:
The equation of a line parallel to the x- axis ( slope of 0 ) and perpendicular to the y- axis has equation
y = c
where c is the value of the y- coordinates the line passes through.
The only equation in this form is
y = \(\frac{4}{5}\) → C
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.7 years, and standard deviation of 2 years.
The 3% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.
Therefore, the 3% of items with the shortest lifespan will last less than approximately 3.9 years.
To find the lifespan at which the 3% of items with the shortest lifespan will last less than, we need to determine the corresponding z-score and then use it to calculate the lifespan value.
The z-score represents the number of standard deviations a data point is from the mean in a normal distribution. We can use the cumulative distribution function (CDF) of the standard normal distribution to find the z-score.
The z-score can be calculated using the formula:
z = (x - μ) / σ
Where:
x = the lifespan value we want to find
μ = the mean lifespan (7.7 years)
σ = the standard deviation (2 years)
To find the z-score that corresponds to the 3rd percentile (since we want the 3% of items with the shortest lifespan), we can use the inverse of the CDF, also known as the percent-point function (PPF). In this case, we want the PPF to give us the value for 0.03 (3%).
Let's calculate the z-score first:
z = PPF(0.03)
Using a programming language or a statistical calculator, we can find that the z-score for a 3% percentile is approximately (-1.881).
Now, we can substitute the values into the z-score formula and solve for x:
(-1.881) = (x - 7.7) / 2
Simplifying the equation:
(-1.881) × 2 = x - 7.7
(-3.762) = x - 7.7
x = 7.7 - 3.762
x ≈ 3.938
Therefore, the 3% of items with the shortest lifespan will last less than approximately 3.9 years.
To know more about standard deviations:
https://brainly.com/question/28745344
#SPJ4
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
triangle abc and triangle def are smillar
which proportion must be true ?
The proportion EF/DF = BC/AC is true. Hence, option A is the accurate answer to this question.
We are given that the two triangles ΔABC and ΔDEF are similar.
According to the definition of a similar triangle, we know that the ratio of the corresponding sides is proportional and the corresponding angles are always congruent.
Since ΔABC and ΔDEF are similar, this implies that -
∠A corresponds to ∠D,
∠B corresponds to ∠E, and
∠C corresponds to ∠F.
Thus we can say -
EF/DF = BC/AC
AB/DF = DE/AC
AB/EF = DE/BC
Only option A satisfies the condition. Hence, the proportion EF/DF = BC/AC is true.
Read more about the similarity of triangles:
brainly.com/question/8045819
#SPJ4
The complete question is -
The triangle abc and triangle def are similar. Which proportion must be true?
Compute the derivative. Use logarithmic differentiation where appropriate d - 14x - 14x d dxx.
To compute the derivative of d - 14x - 14x d dxx, we can use differentiation techniques. Specifically, we can use logarithmic differentiation where appropriate.
First, we can simplify the expression to get:
d - 28x d dxx
Next, we can apply logarithmic differentiation to the expression. This involves taking the natural logarithm of both sides of the equation and then using the properties of logarithms to simplify the expression.
ln(d - 28x) = ln(d) + ln(1 - 28x/d)
Next, we can take the derivative of both sides of the equation with respect to x using the chain rule and product rule:
1/(d - 28x) * d/dx(d - 28x) = d/dx(ln(d)) + d/dx(ln(1 - 28x/d))
Simplifying the expression using the rules of logarithms and algebra, we get:
-28/(d - 28x) = 0 + (-28/d)/(1 - 28x/d)
Finally, we can simplify the expression by multiplying both sides by (d - 28x) and simplifying:
-28 = -28 + 784x/d^2
Therefore, the derivative of d - 14x - 14x d dx is:
d/dx(d - 14x - 14x d dxx) = 784x/d^2.
To learn more about “derivative” refer to the https://brainly.com/question/23819325
#SPJ11
Consider this expression.
-3x2- 24x - 36
What expression is equivalent to the given expression?
Answer:
-3 2 6
Step-by-step explanation:
Consider this expression.
-3x2- 24x - 36
What expression is equivalent to the given expression?
-3 (x + 2)(x+6)
Drop down answer is in bold
The equivalent expression will be : - 3 (x + 2) (x + 6)
We have the following expression -
\(-3x^{2}\) - 24x - 36
We have to find out the equivalent expression of above expression.
Expand the following expression - (x + 2)(x + 4).Above expression can be expanded in the following way -
(x + 2)(x + 4) = x(x + 2) + 4(x + 4) = \(x^{2}\) + 2x + 4x + 16 = \(x^{2}\) + 2x + 16
According to question -
\(-3x^{2}\) - 24x - 36
- 3 (\(x^{2}\) + 8x + 12)
-3 (\(x^{2}\) + 6x + 2x + 12)
-3 [x(x + 6) + 2(x + 6)]
-3(x + 2)(x + 6)
Hence, the equivalent expression will be : -3(x + 2)(x + 6)
To solve more questions on equivalent expression, visit the link below -
https://brainly.com/question/1184774
#SPJ2
Simplify the expression answer must be in positive exponents
(x^4)^3
∑ Hey, jillianwagler ⊃
Answer:
\(x^{12}\)
Step-by-step explanation:
Given:
Simplify the expression answer must be in positive exponents
\(\mathrm{(x^4)^3}\)
Solve:
Applying exponent rules: \(\mathrm{(a^b\right)^c)=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0}\)
\(=x^{4\cdot \:3}\)
Multiply 4 and 3:
\(=x^{12}\)
xcookiex12
8/19/2022
Answer:
x¹²
Step-by-step explanation:
Given expression: (x⁴)³
Power of a Power Property: \((a^b)^c=a^{b\cdot c}\)
To find the power of a power, simply multiply the exponents.\(\implies (x^4)^3=x^{4\cdot3}=\boxed{x^{12}}\)
Cual es la respuesta de esta operación combinada 5x4+30:6-35:7
\(5 {x}^{4} \)
Step-by-step explanation:
o puede ser 20 en caso x es multiplicar
answer answer answer answer
How do I multiply integers with different signs
short answer please
Step-by-step explanation:
To multiply integers with different signs:
Multiply the absolute values of the integers.
The product is negative if the signs of the integers are different.
The product is positive if the signs of the integers are the same.
Example: (-3) x 4 = -12
The absolute values of -3 and 4 are 3 and 4.
Multiply 3 and 4 to get 12.
The signs of -3 and 4 are different (one negative and one positive).
Therefore, the product is negative (-12).
find the 7th term of the geometric progression which begins with -6250,1250,-250
Answer:
a₇ = - 0.4
Step-by-step explanation:
The n th term of a geometric progression is
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = \(\frac{1250}{-6250}\) = - \(\frac{1}{5}\) , thus
a₇ = - 6250 × \((-\frac{1}{5}) ^{6}\)
= - 6250 × \(\frac{1}{15625}\) = - \(\frac{6250}{15625}\) = - 0.4
Dylan is at a water park getting ready to go down a water slide. The slide is 150 feet long and the ladder to the top of the slide is 58 feet high. To the nearest tenth of a foot, find the distance from the bottom of the slide to the bottom of the ladder.
The distance from the bottom of the slide to the bottom of the ladder is approximately 160.9 feet.
We can use the Pythagorean theorem to find the distance from the bottom of the slide to the bottom of the ladder. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the distance we want to find, and the other two sides are the length of the slide (150 feet) and the height of the ladder (58 feet). Therefore, we have:
Distance² = 150² + 58²
Distance²= 22,500 + 3,364
Distance² = 25,864
Taking the square root of both sides, we get:
Distance = 160.9 feet (rounded to the nearest tenth)
Therefore, the distance from the bottom of the slide to the bottom of the ladder is approximately 160.9 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
Lani spent 15% of her 8-hour workday in meetings.
How many minutes of her workday did she spend in
meetings?
A) 1.2
B) 15
C) 48
D) 72
Lani spend 72 minutes of her workday in meetings, if she spent 15% of her 8-hour workday in meetings.
According to the given question.
Lani spent 15 percent of her 8-hour workday in meeting.
⇒ 15 % of 8 hour
⇒ 15/100 × 8
⇒ 1.2 hour
As we know that, 1 hour = 60 minutes
Therefore, the number of minutes in 1.2 hours
= 1.2 × 60 minutes
= 72 minutes
Hence, Lani spend 72 minutes of her workday in meetings, if she spent 15% of her 8-hour workday in meetings.
Find out more information about minutes and hours here:
https://brainly.com/question/10639173
#SPJ4
how do you translate "Sixteen increased by the product of a number, k, and three."as a variable expression.
Answer:
16+(kx3)
Step-by-step explanation:
You add 16 to kx3
find the $1314^{\text{th}}$ digit past the decimal point in the decimal expansion of $\dfrac{5}{14}$.
The $1314^\text{th}$ digit past the decimal point is 2.
To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.
The long division of $\frac{5}{14}$ is as follows:
```
0.35 <-- Quotient
-----
14 | 5.00
4.2 <-- Subtract: 5 - (14 * 0.3)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
100 <-- Bring down the 0
98 <-- Subtract: 100 - (14 * 7)
-----
20 <-- Bring down the 0
14 <-- Subtract: 20 - (14 * 1)
-----
60 <-- Bring down the 0
56 <-- Subtract: 60 - (14 * 4)
-----
40 <-- Bring down the 0
28 <-- Subtract: 40 - (14 * 2)
-----
120 <-- Bring down the 0
112 <-- Subtract: 120 - (14 * 8)
-----
80 <-- Bring down the 0
70 <-- Subtract: 80 - (14 * 5)
-----
...
```
We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.
Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.
So, the $1314^\text{th}$ digit past the decimal point is 2.
To know more about Decimal Point related question visit:
https://brainly.com/question/28338004
#SPJ11
Jrite regular expressions for the following languages using Go's regular expression yntax (using Go to test your answers would be a good idea). Use ∧
and $ to get exact latches - Biological pronunciation for plants at Monrovia.com. On the Hot Blooded Lantana, Lantana camara, Monrovia Plant page, the pronunciation is: lan-TAY-na ca-MA-ra. For Blue Arrow Juniper, Juniperus scopulorum, Monrovia Plant, the pronunciation is: ju-NIP-er-us skop-u-LO-rum - Each syllable is one or more letters, - Each syllable uses all upper case if the syllable should be stressed, all lower case if not - Syllables are separated by a dash - There are exactly two words (Scientific Plant Names ∣ Landscape Plants Oregon State University explains that the first word is the genus, the second word is the "specific epithet") - Plant prices at Monrovia.com. Plants may be offered in different sizes, so if you click on the Container Size link on a page like: Hot Blooded Lantana, Lantana camara, Monrovia Plant, you find strings like: "#1-.75 Gallon $16.99 " or "\#2 1.6 Gallon $36.99 ". For purposes of this assignment, you will just match the pattern rather than worry about the correctness. A few notes: - The container size (1 or 2 above) is just a single digit - The Gallon size is always less than 10, and just 1 or 2 digits after the decimal point - Prices are less than $1000 and have exactly 2 digits after the decimal point (for cents)
Regular expressions for the following languages using Go's regular expression syntax: Language: Biological pronunciation for plants at Monrovia.com.
On the Hot Blooded Lantana, Lantana camara, Monrovia Plant page, the pronunciation is: lan-TAY-na ca-MA-ra.• For Blue Arrow Juniper, Juniperus scapular, Monrovia Plant, the pronunciation is: ju-NIP-er-us skop-u-LO-rumPattern.
\(^[A-Z][a-z]+(-[A-Z][a-z]+)*$\)
Language: Plant prices at Monrovia.com. Plants may be offered in different sizes, so if you click on the Container Size link on a page like: Hot Blooded Lantana, Lantana camara, Monrovia Plant, you find strings like.
To know more about Container visit:
https://brainly.com/question/430860
#SPJ11
HELP PLS PLS I BEG U GEOMETRY AREA OF SECTOR
Answer:
The area of shaded sector
Formula A = (θ / 360°) × πr²
θ=360°-140°=220°
r=18yd
We have A=(220/360)×3.14×(18)²
=621.72yd²
Area of sector is621.72yd².
Answer:
I believe the answer is 621.72
Step-by-step explanation:
Plug in formula: x degrees / 360 * (pi*r^2)
In constructing a confidence interval based on a largesample to estimate the mean u of a population with aknown standard deviation o, which of the following doesNOT affect the width of the confidence interval?Select one:a. the sample meanb. the population standard deviationc. the confidence leveld. sample size
Ok, so:
We know that the width of the confidence interval decreases as the sample size increases. And, the width increases as the standard deviation increases.
So, here we can analyze that the wifth of the confidence interval depends of the sample size and the standard deviation.
So, I would say that b and d aren't correct.
The width of the confidence interval also depends of the confidence level.
Here we got the situation.
As you can see, the confidence level affects the width.
The sample size, also affects the width.
And the standard deviation also affects it.
So, the correct answer could be A. The sample mean.
. a survey of first-time home buyers found that the sample mean annual income was $51,000. assume that the survey used a sample of 28 first-time home buyers and that the sample standard deviation was $1,200. compute and explain a 95% confidence interval estimate of the population mean.
The 95% confidence interval estimate of the population mean is between $50,555.51 and $51.444.49.
Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.
CI = μ ± z x (SD / √n)
where CI = confidence interval
μ = sample mean
z = found by using a z-score table
SD = sample standard deviation
n = sample size
At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.
(100 - 95) / 2 = 2.5
100 - 2.5 = 97.5
Find 0.975 in the z-table to get the value of z.
At p = 0.95, z = 1.96
Plug in the values and solve for the confidence interval.
CI = μ ± z x (SD / √n)
CI = $51,000 ± 1.96 x ($1,200 / √28)
CI = $51,000 ± $444.49
CI = [$50,555.51, $51.444.49]
Learn more about confidence interval here: brainly.com/question/15905481
#SPJ4
If 1=3, 2=3, 3=5, 4=4, and 5=4,
what is 6=?
Answer:
6 = 4
Step-by-step explanation:
<3
Eng
Sofia uses 8 gallons of gas to drive 204 miles. At the same rate, how
many miles can Sofia drive using 18 gallons of gas?
Answer:
Sophia can drive 3672 miles using 18 gallons of gas.
Step-by-step explanation:
204 x 18 = 3672.
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.a nationwide study of american homeowners revealed that 65% own at least one lawn mower. a lawn equipment manufacturer, located in charlotte, feels that this estimate is too low for households in charlotte. to support his claim, he randomly selects 497 homes in charlotte and finds that 340 had one or more lawn mowers. find the p-value for testing the claim that the proportion of homeowners owning lawn mowers in charlotte is higher than 65%. round your answer to three decimal places.
The p-value for testing the claim that the proportion of homeowners owning lawn mowers in Charlotte is higher than 65% is 0.005 (rounded to three decimal places)
We can perform a hypothesis test to determine if the proportion of homeowners owning lawn mowers in Charlotte is significantly higher than 65%.
Null hypothesis: p <= 0.65
Alternative hypothesis: p > 0.65 (claim of the manufacturer)
We can use the sample proportion and the population proportion to compute the test statistic and p-value.
Sample proportion: P = 340/497 = 0.683
Population proportion: p = 0.65
Sample size: n = 497
The test statistic is calculated as:
z = (P - p) / sqrt(p*(1-p)/n)
z = (0.683 - 0.65) / sqrt(0.65*0.35/497)
z = 2.57
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.57 is 0.0051. Since this is a one-tailed test (alternative hypothesis is p > 0.65), the p-value is 0.0051.
Therefore, the p-value for testing the claim that the proportion of homeowners owning lawn mowers in Charlotte is higher than 65% is 0.005 (rounded to three decimal places). Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the proportion of homeowners owning lawn mowers in Charlotte is higher than 65%.
To learn more about test statistic visit: https://brainly.com/question/14128303
#SPJ11