Answers
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
\(y =m\cdot x +b\) (Eq. 1)
Where:
\(x\) - Independent variable, dimensionless.
\(y\) - Dependent variable, dimensionless.
\(m\) - Slope, dimensionless.
\(b\) - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
\(b = y-m\cdot x\)
If we know that \(y = 1\), \(x = 2\) and \(m = \frac{5}{3}\), then the y-Intercept of the linear function is:
\(b = 1-\left(\frac{5}{3} \right)\cdot (2)\)
\(b = -\frac{7}{3}\)
Line with a slope of \(\frac{5}{3}\) that goes through the point (2, 1) is represented by \(y = \frac{5}{3}\cdot x -\frac{7}{3}\).
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
Related Questions
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answers
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
Construct a 90% confidence interval for the population mean you. Assume the population has a normal distribution a sample of 15 randomly selected math majors had mean grade point average 2.86 with a standard deviation of 0.78
Answers
The 90% confidence interval is: (2.51, 3.22)
Confidence interval :It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.
We have the following information :
Number of students randomly selected, n = 15.Sample mean, x(bar) = 2.86Sample standard deviation, s = 0.78Degree of confidence, c = 90% or 0.90The level of significance is calculated as:
\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)
The degrees of freedom for the case is:
df = n - 1
df = 15 - 1
df = 14
The 90% confidence interval is calculated as:
=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)
= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)
= 2.86 ± 0.3547
= (2.51, 3.22)
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Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4
Answers
Answer:
x^2+3x+3
Step-by-step explanation:
f(x) = 3x - 1
g(x) = x^2 + 4
f(x) + g(x) = 3x-1+ x^2 +4
Combine like terms
= x^2+3x+3
Select the solutions of the equation.(select all that apply)
x2+4= 0
A.-2i
B.-2
C. 2i
D.2
Answers
This is because it is the sqrt(-4)
engineers are testing company fleet vehicle fuel economy (miles per gallon) performance by using different types of fuel. one vehicle of each size is tested. does this sample provide sufficient evidence to conclude that there is a significant difference in treatment means? 87 o
Answers
, assuming that there is a complete dataset somewhere, we can use a hypothesis test to determine if there is a significant difference in treatment means for the fuel economy of the company fleet vehicles.
The null hypothesis would be that there is no significant difference in treatment means, while the alternative hypothesis would be that there is a significant difference. We can use a one-way ANOVA test to compare the means of multiple treatment groups.
To perform this test, we would need to calculate the sample means and standard deviations for each treatment group and then calculate the F statistic. We would then compare the calculated F value to the critical value of F with degrees of freedom equal to the number of treatment groups minus 1 and the total sample size minus the number of treatment groups.
If the calculated F value is greater than the critical value, we would reject the null hypothesis and conclude that there is a significant difference in treatment means. If the calculated F value is less than or equal to the critical value, we would fail to reject the null hypothesis and conclude that there is no significant difference.
Without more information about the data, it is not possible to say whether or not the sample provides sufficient evidence to conclude that there is a significant difference in treatment means.
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A textbook is opened at random. What page numbers is the book opened to if the product of the opened page numbers is 132?
Answers
The book is opened to pages 11 and 12.
How to get the product of the page
So, we can write the equation:x * (x + 1) = 132
Expanding the equation, we get:
x² + x = 132
To solve for x, we need to rewrite the equation as a quadratic equation:
x²+ x - 132 = 0
Now, we can factor the quadratic equation:
(x - 11)(x + 12) = 0
This equation has two solutions for x:
x = 11
x = -12
Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.
So, the book is opened to pages 11 and 12.
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Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?
Answers
Answer:
y > 3x - 4
Step-by-step explanation:
lmk if you want an explanation
identify the function shown in this graph
A. y= -x - 4
B. y= x + 4
c. y= x - 4
y. = -x + 4
Answers
Answer:
The function in the graph
=y=-x-4
Step-by-step explanation:
y= -x-4
y=+4
while X=-4
Answer:Y=x+4
Step-by-step explanatio
Write the word sentence as an equation.
5 is one-fourth of a number c. PLEASE HELP
Answers
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Answers
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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for the x-values 1,2,3 and so on, the y values of a function form an arithmetic sequence that decreases in value what type of function is it
A. Decreasing linear
B. Exponential growth
C. Increasing linear
D. Exponential decay
Answers
The type of function that fits the given description is D. Exponential decay.
In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.
Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.
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Jennie has $300 and she spends $15. What percent of her money is spent?
Answers
Answer:
The answer is 5%
Step-by-step explanation:
Hope this helps!!
Find the partial sum sn of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Answers
The value of the partial sum of geometric sequence with terms a3 = 36 and a6 = 288 is given by 297. This is obtained by using the concept of partial sum of a geometric progression.
What is geometric progression?
Geometric progression is defined as a series of numbers having a fixed ratio between each term and its preceding term. It is also known as a geometric sequence or G.P., and is exemplified as a1, a2, a3, ….., an
Here, the first term is denoted by a1 and its common ratio is shown by r, which is calculated using the formula a2 by a1. The partial sum of a G.P. is given by a1 ( rn - 1 ) / ( r - 1 ), when r > 1 and a1 ( 1 - rn ) / ( 1 - r ), when r < 1
Calculation of the partial sum of the geometric sequence that satisfies the given conditions. a3 = 36, a6 = 288, n = 5
Given:
Value of a3 = 36
Value of a6 = 288
n = 5
a3 = ar2 — 1
a6 = ar5
Now, a6 / a3 = ar5 / ar2 = 288 / 36
r3 = 8
Taking cube root both sides, we get,
r = 2
Putting the value of r in equation 1,
a3 = a(2)2
36 = 4a
a = 9
As r > 1, using the formula for Sn as a(rn - 1) / (r - 1)
Sn = 9(2n - 1) / (2 - 1)
Sn = 9(2n - 1)
Using n = 5, we have,
Sn = 9[(2)5 - 1]
Sn = 9(32 - 1)
Sn = 9 × 33
Sn = 297
Hence, the value of the partial sum of a G.P. is 297
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What is the answer to y=-2/3x0+1
Answers
Answer:
1 is the answer to this question
Mason has 18 raisins Josh has 20 more raisins than Mason Zach has 22 more raisins than Josh How many raisins do Josh and Zach each have ?
Answers
Answer:
Josh and Zach each have 38 and 60 raisins.
Step-by-step explanation:
Total no of raisins Mason have = 18
Josh has 20 more raisins than Mason.
Josh = 20 + 18 = 38 raisins
Zach has 22 more raisins than Josh
Zach = 22 + 38 = 60 raisins
Hence, Josh and Zach each have 38 and 60 raisins.
HELP MARK AS BRAINLIST
Answers
Answer:
12 square units
Step-by-step explanation:
formula= a+b/2×h
a=2
b=6
h=3
the answer will be = 2+6/2×3
=8/2×3
=4×3
=12
Answer:
17 square units i think
find the least number which is a perfect cube and exactly divisible by 6 and 9.
hurry up, I need this answer immediately.
Answers
To find the least number that is a perfect cube and exactly divisible by 6 and 9, we need to find the least common multiple (LCM) of 6 and 9.
The prime factorization of 6 is \(\displaystyle 2 \times 3\), and the prime factorization of 9 is \(\displaystyle 3^{2}\).
To find the LCM, we take the highest power of each prime factor that appears in either number. In this case, the highest power of 2 is \(\displaystyle 2^{1}\), and the highest power of 3 is \(\displaystyle 3^{2}\).
Therefore, the LCM of 6 and 9 is \(\displaystyle 2^{1} \times 3^{2} =2\cdot 9 =18\).
Now, we need to find the perfect cube number that is divisible by 18. The smallest perfect cube greater than 18 is \(\displaystyle 2^{3} =8\).
However, 8 is not divisible by 18.
The next perfect cube greater than 18 is \(\displaystyle 3^{3} =27\).
Therefore, the least number that is a perfect cube and exactly divisible by both 6 and 9 is 27.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
216 = 6³ 216/9 = 24 216/6 = 36
Which equation represents this statement?
9 less than 3 times a number is 18
9−3n=18
18−3n=9
3n−18=9
3n−9=18
Answers
Answer:
3n-9=18 because the number which is times the 3 is 9
The solution is Option D.
The equation which represents the statement 9 less than 3 times a number is 18 will be 3n - 9 = 18
The equation is 3n - 9 = 18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is 18
A = 9 less than 3 times a number is 18
A = 3n - 9
And the value of A is 18 , so substituting the value in the equation , we get
A = 18
3n - 9 = 18
Therefore , the equation is 3n - 9 = 18
Hence , The equation which represents the statement 9 less than 3 times a number is 18 will be 3n - 9 = 18
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what is represented by the distance between two vertical white gridlines on this graph? what is represented by the distance between two vertical white gridlines on this graph? a population increase of 20 million a population increase of 2 billion a time span of 20 years a time span of 50 years
Answers
The distance between two vertical white gridlines on a graph typically represents a specific interval or scale.
Based on the options you provided, the correct answer would depend on the context of the graph.
If the graph is displaying population data over time, the distance between two vertical white gridlines could either represent:
- A time span of 20 years
- A time span of 50 years
If the graph is displaying population increase directly, the distance could represent:
- A population increase of 20 million
- A population increase of 2 billion
To determine the correct answer, please examine the labels and context of the graph you are analyzing.
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The material for constructing the base of an open box costs 1.5 times as much as the material for constructing the sides. Find the dimensions of the box of largest volume that can be made for a fixed amount of money C.
Answers
If two triangles are congruent, then all three___and all three___are congruent.
Answers
Answer:
Angles and Sides (or sides and angles, doesn't matter).
Step-by-step explanation:
Congruent triangles all have the same angle measures and side lengths.
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What is the solution to the inequality -3x - 42 > 3?
A. X > -13
B. x < -13
C. X > -15
D. X< -15
Answers
Answer:
D. x<-15
Step-by-step explanation:
-3x-42>3 Add 42 to both sides.
+42 +42
-3x>45 Divide both sides by -3.
/-3 /-3
x>-15 Each time you multiply or divide by a negative, you flip the sign.
x<-15
Hope this helps you out!! Have an amazing day ^^
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answers
Answer:
52.26 cm
Step-by-step explanation:
Since the semicircle is a part of the rectangle, the side of the rectangle where the semicircle is put is eliminated. We know the diameter of the circle, if is 6 cm, but the formula of a semicircle is пr^2 / 2. To find the radius, we divide 6cm by 2, and then we square 3 (that's what we got), and get 9. We simply multiply it by п, which would give us 28.26. The area of the rectangle is 4 * 6 = 24, and the area of the semicircle is 28.26. Now, we just need to add them: 24 + 28.26 = 52.26 cm, and that would be your answer.
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There were 16 eagles in an area. Now there's 28 eagles in the area. What is the percent increase?
Answers
Answer:
175%
Step-by-step explanation:
175% in a decimal is 1.75 multiply this by 16 and you have 28 there's the percent increase
Shelia is dividing x4 – 4x3 + 4x2 – 6x + 5 by x – 1 using a division table. Quotient Divisor x3 – 3x2 + x – 5 x x4 –3x3 x2 A – 1 –x3 3x2 B C What are the missing value in the table?
A = –5x; B = 1x; C = 5
A = –5x; B = –1x; C = 5
A = 5x; B = –1x; C = 5
A = 5x; B = 1x; C = 5
Answers
Answer:
B. A = –5x; B = –1x; C = 5 EDG 2021
Step-by-step explanation:
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Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
Answers
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
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could someone help me with this pls
If the volume of a cylinder is 3014.4 ft3 and the height is 15ft, write and solve an equation to find the radius.
Answers
Answer:
7.99
Step-by-step explanation:
using the formula
\(v = \pi \: r ^{2} h \)
\(3014.4 = 22 \div 7 \times r ^{2} \times 15\)
\(21100.8 = 22 \times 15 \times r {}^{2} \)
\(21100.8 = 330 \times r {}^{2} \)
\(21100.8 \div 330 = r {}^{2} \)
\( \sqrt{63.94 }= r\)
\(r = 7.99ft \: answer\)
There are five vowels (a,e,i,o,u) along with 21 consonants. Suppose that you decide to make up a password where the first seven characters alternate - consonant, vowel, consonant, vowel, consonant, vowel - with repetitions allowed, and a digit as the eighth character. How many different passwords can be make up
Answers
There are 1,602,562,500 different passwords that can be made up using the given pattern and character choices.
We need to make a password with eight characters, where the first seven characters follow the pattern CVCVCVC, and the eighth character is a digit. There are 21 consonants and 5 vowels available, and there are 10 digits (0-9) available for the eighth character.
To find the number of possible passwords, we can count the number of choices for each character in the password, and then multiply the choices together.
For the first character, we can choose from 21 consonants. For the second character, we can choose from 5 vowels. For the third character, we can choose from 21 consonants again, and so on, alternating between consonants and vowels. For the eighth character, we can choose from 10 digits.
Therefore, the total number of possible passwords is:
21 x 5 x 21 x 5 x 21 x 5 x 21 x 10 = 1,602,562,500
So there are 1,602,562,500 different passwords that can be made up using the given pattern and character choices.
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Use the information below go answer the three questions.
In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.
Answers
Answer:
Answer for the first question is D
Step-by-step explanation:
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FILL IN THE BLANK. to determine the proportion of each color of Peanut Butter M&Ms, you buy 10 1.69 ounce packages and count how many there are of each color. This is an example of ______
Answers
This is an example of a sample survey or a sampling method.
What is sampling method?Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.
Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.
By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.
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