Answers
For the equation y = 5, the slope of is obtained as option D: 0.
What is slope?
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
From the graph it can be seen that the line is for the function -
y = 5
So, the coordinate points are (0,5).
Write the equation in slope-intercept form y = mx + b.
Here m is the slope and b is the y-intercept.
So, this will be -
5 = m(0) + b
We can see that the value for m is 0.
Therefore, the slope value is 0.
To learn more about slope from the given link
https://brainly.com/question/16949303
#SPJ1
Related Questions
Two parallel lines are cut by a transversal as shown below. Suppose m∠1=63°. Find m∠6 and m∠7.
Answers
Answer: Since lines l and m are parallel, we can use the fact that corresponding angles are congruent. Therefore:
m∠1 = m∠6 (corresponding angles)
m∠6 + m∠2 = 180° (supplementary angles, as angles 6 and 2 form a straight line)
m∠2 = m∠7 (corresponding angles)
m∠3 = m∠7 (alternate interior angles)
m∠1 + m∠4 = 180° (supplementary angles, as angles 1 and 4 form a straight line)
m∠3 + m∠4 = 180° (supplementary angles, as angles 3 and 4 form a straight line)
We know that m∠1 = 63°, so we can use the equations above to find m∠6 and m∠7:
m∠1 = m∠6, so m∠6 = 63°.
m∠6 + m∠2 = 180°, so m∠2 = 180° - m∠6 = 180° - 63° = 117°.
m∠2 = m∠7, so m∠7 = 117°.
m∠3 = m∠7, so m∠3 = 117°.
m∠1 + m∠4 = 180°, so m∠4 = 180° - m∠1 = 180° - 63° = 117°.
m∠3 + m∠4 = 180°, so m∠3 + 117° = 180°, which means m∠3 = 63°.
Therefore, the measures of the angles are:
m∠1 = 63°
m∠2 = 117°
m∠3 = 63°
m∠4 = 117°
m∠6 = 63°
m∠7 = 117°
Step-by-step explanation:
\[ 14 x^{3}-39 x^{2}+24 x-4=0 ;[-4,6,1] \text { by }[-300,300,100] \] List all possible rational roots. \[ \frac{2}{7}, \frac{4}{7}, 2,4, \frac{1}{7}, 1, \frac{1}{14}, \frac{1}{2},-\frac{2}{7},-\frac{
Answers
The possible rational roots of the equation 14x3 - 39x2 + 24x - 4 = 0 are: 2/7, 4/7, 2, 4, 1/7, 1, 1/14, 1/2, -2/7, -4/7, -2, -4, -1/7, -1, -1/14, -1/2.
To find the rational roots, we need to factor the equation into its linear components. First, factor out a common factor from all terms: 14x3 - 39x2 + 24x - 4 = 0 --> 14x(x2 - 3x + 2)(x-2) = 0.
This means that the equation has three linear components, and each component has a possible root that we can calculate. The possible roots can be determined by using the Rational Root Theorem:
Using the Rational Root Theorem, we can find the possible rational roots of the equation:
For the component x-2, the possible rational roots are in the form of p/1, where p is a factor of -4. This means the possible rational root is -2.For the component x, the possible rational root is in the form of p/1, where p is a factor of 1. This means the possible rational root is 1.
Therefore, the possible rational roots of the equation.
Learn more about Rational Root Theorem
brainly.com/question/30779768
#SPJ11
Help, please help please
Answers
This question has two parts. Use the information to answer Part A and Part B.
The table shows function f(x).
x f(x)
1 6
2 36
3
216
41296
Part A
What type of function is f (x)?
A. exponential
B. linear
C. quadratic
Part B.
Which statement supports the correct answer from Part A?
A. As x increases by 1, the value of f (x) is squared.
B. As x increases by 1, the value of f (x) increases by a factor of 6.
C. As x increases by 1, the value of f (x) increases by a constant value.
Answers
Part A: The function f(x) is an exponential function.
Part B: As x increases by 1, the value of f(x) increases by a factor of 6.
How to explain the functionIt is an exponential function because the function is of the form f(x) = a^(x-1), where a is a constant. We can see that when x increases by 1, the exponent in the function increases by 1 as well. So we have:
f(x+1) = a^x * a
f(x) = a^(x-1)
Therefore, the ratio of f(x+1) to f(x) is:
f(x+1)/f(x) = (a^x * a) / (a^(x-1)) = a
This means that as x increases by 1, the value of f(x) increases by a factor of a, which in this case is 6. Therefore, statement B supports the correct answer from Part A.
Learn more about functions on:
https://brainly.com/question/10439235
#SPJ1
Marsha and Jan both invested money on March 1 2007 Marsha invested $1000 at Bank A where the interest was compounded quarter Janniested 55 000 al Bank & where the interest was compounded continuously On March 1, 2012 Marsha had a balance of 510 010 5 while Jan had a balance of 55192 20.
What was the interest rate at each bank? (Round to the nearest forth of a percent) Al Bank A. the interests about ____% (Round tone decimal pace as needed). A Bank B. the interest rate about ____%
(Round to one del places needed)
Answers
At Bank A, the interest rate was 8% (7.94% rounded to the nearest fourth of a percent). At Bank B, the interest rate was 5% (5.09% rounded to one decimal place).
To find the interest rate at each bank, we can use the formula for compound interest and the formula for continuously compounded interest.
For Bank A, the formula for compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values we have, we get:
51010.5 = 1000(1 + r/4)^(4*5)
Solving for r, we get:
r = 4[(51010.5/1000)^(1/20) - 1]
r = 0.1999
So the interest rate at Bank A is about 19.99%, or 20% when rounded to the nearest fourth of a percent.
For Bank B, the formula for continuously compounded interest is A = Pe^(rt), where A is the final amount, P is the principal, r is the interest rate, and t is the number of years.
Plugging in the values we have, we get:
5192.20 = 5500e^(r*5)
Solving for r, we get:
r = (1/5)ln(5192.20/5500)
r = -0.0118
So the interest rate at Bank B is about -1.18%, or -1.2% when rounded to the nearest fourth of a percent.
Therefore, the interest rate at Bank A is about 20% and the interest rate at Bank B is about -1.2%.
You can read more about interest rate at https://brainly.com/question/25720319
#SPJ11
cos[tex]\alpha[/tex]=[tex]\frac{5}{13}[/tex] where [tex]270\leq \alpha \leq 360[/tex].
Find cos 2[tex]\alpha[/tex]
Answers
Answer:
-119/169
Step-by-step explanation:
You want cos(2α) where cos(α) = 5/13 and 270° < α < 360°.
Cosine identityThe desired function is ...
cos(2α) = 2cos²(α) -1
ApplicationIn the given quadrant, sin(α) < 0. Since the sine is squared in the double-angle identity, whether it is positive or negative is irrelevant.
[tex]\cos(2\alpha)=2\cos^2(\alpha)-1=2\left(\dfrac{5}{13}\right)^2-1=\dfrac{2(25)-169}{169}\\\\\boxed{\cos(2\alpha)=-\dfrac{119}{169}}[/tex]
The Student Council is having an election for its executive board, which consists of 3 positions—president, vice president, and secretary. If there are 10 members on the Student Council, how many different possibilities are there for selecting an executive board?
120
720
1,000
3,628,800
Answers
There are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.
What is the permutation?A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.
The number of ways to select the executive board is the number of permutations of 10 items taken 3 at a time.
That is:
P(10, 3) = 10!/(10-3)! = 10x9x8 = 720
Therefore, there are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.
To learn more about permutation visit:
https://brainly.com/question/28065038
#SPJ1
In art class students are mixing black and white paint to make gray paint. Riley mixes 4 cups of black paint and 3 cups of white paint. Christian mixes 7 cups of black paint and 4 cups of white paint. Use Riley and Christian percent of white paint to determine whose gray paint will be lighter.( Riley percent of white paint to the nearest whole number) (Christian percent of white paint to the nearest whole number). I been stuck on this for 20 mins!!!!! help
Answers
After taking out percentages we know that Riley has used more percentage of white paint which is 42.85% and her grey paint would be lighter.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.
A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
The symbol "%" is frequently written after the number to indicate percentages.
So, the percentages would be:
Riley:
4 black and 3 white
Total = 7
Percentage of white paint:
3/7 * 100 = 42.85%
Christian:
7 black and 4 white
Total = 11
Percentage of white paint:
4/11 * 100 = 36.36%
We know that: 42.85% > 36.36%
Therefore, after taking out percentages we know that Riley has used more percentage of white paint which is 42.85% and her grey paint would be more lighter.
Know more about percentages here:
https://brainly.com/question/24877689
#SPJ9
[(0)/(1) Points ] DETAILS PREVIOU. Simplify the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8))
Answers
The simplified the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8)) is (x+9)/(x+7).
To simplify the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8)), we can follow the following steps:
Step 1: Find the common denominator for the fractions in the numerator and denominator. In this case, the common denominator is (x+8).
Step 2: Multiply the numerator and denominator of the expression by the common denominator to get rid of the fractions. This gives us:
((x+8)(1+(1)/(x+8)))/((x+8)(1-(1)/(x+8)))
Step 3: Simplify the numerator and denominator by distributing and combining like terms. This gives us:
((x+8+1)/(x+8-1))/(x+8)
Step 4: Simplify the expression further by canceling out any common factors. In this case, we can cancel out the (x+8) terms in the numerator and denominator to get:
(x+9)/(x+7)
Therefore, the simplified expression is (x+9)/(x+7).
Learn more expression at https://brainly.com/question/29293479
#SPJ11
The employees of a company have different hobbies.
14 men who like playing golf
6 women who like playing golf
2 men who like running
18 women who like running
Which statement is correct?
A.
For every woman who likes running, 9 women like playing golf.
B.
For every man who likes running, 3 men like playing golf.
C.
For every woman who likes running, 7 women like playing golf.
D.
For every man who likes running, 7 men like playing golf.
Answers
Answer:
To answer this question, we need to compare the number of men and women who like playing golf to the number of men and women who like running.
There are 14 men who like playing golf and 2 men who like running, so the ratio of men who like playing golf to men who like running is:
14 men / 2 men = 7 men who like playing golf for every man who likes running
There are 6 women who like playing golf and 18 women who like running, so the ratio of women who like playing golf to women who like running is:
6 women / 18 women = 1/3 or 0.333 women who like playing golf for every woman who likes running
Therefore, the correct statement is:
C. For every woman who likes running, 7 women like playing golf.
Mr. Cho reached his office at 9:10 am. He took 37 minutes to check his emails and 1 hour and 38 minutes to write a report. Then he attended a meeting until he left for lunch at 12:30pm. How long did the meeting last?
Answers
Answer: the meeting lasted for an hour and 5 min.
Step-by-step explanation:
9:10am + 37min = 9:47am9:47am + 1hour = 10:47am10:47am + 38min = 11:25am12:30pm - 11:25am = 1hour, 5minTherefore, the meeting lasted for an hour and five minutes.
The question "Most people liked this chocolate bar, do you?"
is:
Select one:
a. A leading question
b. A question which contains jargon
c. Two questions in one
d. A hypothetical question
Answers
The correct answer is a. A leading question.
A leading question is one that is designed to elicit a specific response or to influence the answer given by the respondent. In this case, the question is designed to lead the respondent to agree that they also liked the chocolate bar, as "most people" did. This type of question is often used in surveys and research studies to obtain desired results.
To know more about leading question refer here:
https://brainly.com/question/30639368
#SPJ11
D. Determine whether the following sets define a function or not. a. \( A=\{(a, d),(c, d),(e, f),(b, f)\} \) b. \( B=\{(1,3),(2,4),(5,6),(3,4)\} \) c. \( C=\{(1, a),(2, b),(3, c),(2, a),(4, d),(5, c)\
Answers
The sets A and B define a function, while the set C does not.
To determine whether a set defines a function, we need to check if there is one and only one output for each input. In other words, there should not be two different outputs for the same input.
\( A=\{(a, d),(c, d),(e, f),(b, f)\} \)
In this set, there are no repeated inputs, so it does define a function.
\( B=\{(1,3),(2,4),(5,6),(3,4)\} \)
In this set, there are also no repeated inputs, so it does define a function.
\( C=\{(1, a),(2, b),(3, c),(2, a),(4, d),(5, c)\} \)
In this set, there are two different outputs for the input 2 (b and a), so it does not define a function.
Therefore, the sets A and B define a function, while the set C does not.
Learn more about Function
brainly.com/question/12431044
#SPJ11
Determine the LCM of the given polynomials: Enter your answer in factored form. \[ \begin{array}{l} x^{2}+8 x y+12 y^{2} \\ x^{2}-36 y^{2} \end{array} \]
Answers
The LCM of the given polynomials is \[ (x+6y)(x+2y)(x-6y) \].
The LCM (Least Common Multiple) of two polynomials is the smallest polynomial that is a multiple of both of the given polynomials. To find the LCM, we need to factor the given polynomials and then take the product of the highest power of each factor.
Factoring the first polynomial: \[ x^{2}+8 x y+12 y^{2} = (x+6y)(x+2y) \]
Factoring the second polynomial: \[ x^{2}-36 y^{2} = (x+6y)(x-6y) \]
Now, we can take the product of the highest power of each factor to find the LCM:
\[ LCM = (x+6y)(x+2y)(x-6y) \]
So, the LCM of the given polynomials in factored form is \[ (x+6y)(x+2y)(x-6y) \].
To know more about LCM
https://brainly.com/question/30968886
#SPJ11
Kenneth is making a shelf that requires 2 & 7/10 feet of lumber. He has 5/8 feet of lumber. How much more lumber does he need?
Answers
If Kenneth has 5/8 feet of lumber, then he need 83/40 feet of lumber to make the shelf.
First we convert the length of lumber in improper fraction form,
So, we convert 2(7/10) feet to an improper fraction,
⇒ 2(7/10) = (2×10 + 7)/10 = 27/10,
To find the length of lumber required we need to subtract the amount of lumber Kenneth has from the total length required,
Kenneth has a total of 5/8 feet of lumber,
Length of lumber required is = 27/10 - 5/8,
Taking LCM of 10 and 8 as 40 , and simplifying further,
We get,
⇒ 108/40 - 25/40
⇒ 83/40
Therefore, Kenneth needs 83/40 feet more lumber to make the shelf.
Learn more about Lumber here
https://brainly.com/question/14462838
#SPJ4
10. In how many different ways can 9 people be seated at a round table? 11. In how many ways can 7 keys be arranged on a key ring?
Answers
9 people can be seated at a round table is 8! = 40,320.
When people are seated at a round table, the number of arrangements is given by (n-1)!, where n is the number of people. This is because one person can be considered as fixed, and the remaining (n-1) people can be arranged in (n-1)! ways. So for 9 people, the number of arrangements is (9-1)! = 8! = 40,320.
Learn more about round table
brainly.com/question/25672528
#SPJ11
According to a recent study 8.8% of students aged 15-18 in UAE suffer from asma Suppose that 25 students aged 15-18 were randomly selected from UAE school. Find the probability that was four are asthmatic. Round your answer to four decimal places
Answers
To find the probability that four out of 25 randomly selected students are asthmatic, we can use the binomial probability formula:
P(X = x) = (n choose x) * p^x * (1 - p)^(n - x)Where n is the number of trials (students), x is the number of successes (asthmatic students), and p is the probability of success (8.8% or 0.088).
Plugging in the given values, we get:
P(X = 4) = (25 choose 4) * 0.088^4 * (1 - 0.088)^(25 - 4) = 12,650 * 0.00005993 * 0.35178 = 0.0266
Therefore, the probability that four out of 25 randomly selected students are asthmatic is 0.0266, or 2.66%. Rounded to four decimal places, the answer is 0.0266.
To know more about probability, refer here:
https://brainly.com/question/30034780#
#SPJ11
find measure of ytk
Answers
Answer:
127
Step-by-step explanation:
6m+65=2m+57
-2 -2
4m+65=57
-65 -65
4m=-8
divide by 4 on both sides
m=-2
plug in the 2
6(-2)+65=53
a line =180
180-53=127
expand and simplify (root 12 - root3)^2
Answers
The (√12 - √3)² = 6 according to the provided assertion.
Why do you use the word "binomial"?
A Binomial is a name for an algebraic equation with only two elements. It is a polynomial with two terms. It is also referred to as the total or difference of two or more binomials. It is a polynomial's most basic shape.
To expand and simplify the expression (√12 - √3)², we can use the formula for the square of a binomial:
(a - b)² = a² + b² - 2ab
In this case, a = √12 and b = √3, so we have:
(√12 - √3)² = (√12)² - 2(√12)(√3) + (√3)²
To simplifying, we have:
(√12 - √3)² = 12 - 2√36 + 3
Since √36 = 6, we can simplify further:
(√12 - √3)² = 12 - 2(6) + 3 = 6
Therefore, the expanded and simplified equation (√12 - √3)² = 6.
To know more about Binomial visit:
https://brainly.com/question/12336181
#SPJ1
Help pls pls pls pls pls pls, I need help quick
Answers
Answer:
D
Step-by-step explanation:
What is the lateral and total surface area
Answers
Answer:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Which graph can be used?
Answers
Which fraction is equivalent to negative 2 over 3 ? (1 point)
A. 2 over negative 3
B. negative 3 over 2
C. negative 2 over negative 3
D. 2 over 3
Answers
Answer: A
Step-by-step explanation: 2/-3 means that the - sign should be brought up. So, A is correct.
Two families attended a baseball game. The first family bought three bags of popcorn and four souvenir cups which totals $40 the second family bought eight bags of popcorn and four souvenir cups which totaled $60. How much did one bag of popcorn cost
Answers
Two families attended a baseball game, where they bought popcorn and souvenir. popcorn cost $4 and cost of souvenir is $7.
An equation is an expression that shows the relationship between two or more variables and numbers. Through equations the given information can be denoted as,
Let x = price of 1 bag of popcorn
Let y = price of 1 souvenir cup
First family:
3x + 4y = 40 (equation 1)
Second family:
8x + 4y = 60 (equation 2)
We have a system of 2 equations with 2 variables.
3x + 4y = 40
8x + 4y = 60
We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.
[tex]8x+4y=60\\4y=60-8x\\[/tex]
divide both sides by 4
[tex]\frac{4y}{4} =\frac{60-8x}{4} \\y=\frac{60-8x}{4} \\y=15-2x[/tex]
now putting the value of y in equation 1
[tex]3x+4y=40\\3x+4(15-2x)=40\\3x+60-8x=40\\-5x+60=40\\-5x=40-60\\-5x=-20\\x=\frac{-20}{-5} =4\\x=4[/tex][tex]y=15-2x\\y=15-2(4)\\y=15-8\\y=7\\[/tex]
Therefore, the cost of one bag of popcorn is $4.
Learn more about variables at:
brainly.com/question/29583350
#SPJ4
The country of Sylvania has decided to reduce the number
3
of its illiterate citizens by
5 each year. This year there are
9000 illiterate people in the country.
Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.
Answers
The functiοn that gives the number οf illiterate peοple in Sylvania is
[tex]\mathrm{P(t) = 9000(2/5)^t}[/tex]
What are functiοns in mathematics?A functiοn is defined as a relatiοn between a set οf inputs, each with an οutput. Simply put, a functiοn is a relatiοnship between inputs, each assοciated with exactly οne οutput. Each functiοn has a dοmain and cοdοmain οr scοpe.
Hοw tο identify relatiοn and functiοn?Tο identify a functiοn frοm a relatiοn, check if any οf the x values are repeated. If it's nοt repeated, it's a functiοn. If the x values are repeated and the cοrrespοnding y values are different, it's nοt a functiοn but a relatiοn.
Sοlutiοn accοrding tο the questiοn:
Given, Tοtal number οf illiterate peοple = 9000
Amοunt = 3/5
Fοr the first year = 9000 × (1 - 3/5) = 9000(2/5)
Nοw, fοr "t years":
P(t) = 9000(2/5)
To learn more about functions, visit the link below
brainly.com/question/12431044
#SPJ1
Use the Distributive Property to simplify 2(3x2 – 4x + 7)
Answers
2(6-4x+7)
2. add any liked terms (being 6 & 7 because they don't have x)
2(13-4x)
3. remove parenthesis and multiply by 2
26-8x
ANSWER: 26-8x
Answer:
4x + 14
Step-by-step explanation:
2 (3x2 - 4x + 7)
= 2 ( 6x - 4x + 7)
= 2 ( 2x + 7)
= 4x + 14
Find the indicated angle measures.
A
m
64°
F
B
26°
m
O
Will mark brainiest
Answers
Answer:
m<BFC= 64°; m<AFB= 116°
Step-by-step explanation:
Using the Vertical Angle Theorem, in which "the opposing angles of two intersecting lines must be congruent, or identical in value"
m<AFE is congruent to m<BFC, therefore m<BFC is 64°
You can also use the straight angle theorem where BE is a straight line, and is therefore 180°. so subtracting 180° from 64° will result in m<AFB being 116°, you second answer. You can take it a step further without using the vertical angle theorem to get our first answer by using the same rules for the straight angle theorem again, knowing that AC is a straight line and that m<AFB is 116°, subtract 180° by 116° to get m<BFC, 64°.
bfc - 64
hope this helps
Find the length of the third side. If necessary right i. Simplest radical form
Answers
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{2\sqrt{41}}\\ a=\stackrel{adjacent}{10}\\ o=opposite \end{cases} \\\\\\ o=\sqrt{ (2\sqrt{41})^2 - 10^2}\implies o=\sqrt{ (2^2)(\sqrt{41})^2 - 100 } \implies o=\sqrt{ (4)(41)-100 } \\\\\\ o=\sqrt{164-100}\implies o=\sqrt{64}\implies o=8[/tex]
what is the square root of 11 help me please note put the calculation please
Answers
Answer: 3.31662479036.
Determine whether each sequence is arithmetic, geometric, or neither.
(4, -20, 100, 500, ...}
{1, 2, 3, 4, ...}
{-18, 11, 4, 3, ...}
{-3, -27, 243, -2187, ...}
{1, 8, 27, 64, ...}
{-9, -33, -57, -81, ...}
Answers
Step-by-step explanation:
1) geometric
2) arithmetic
3) neither
4) geometric
5) neither
6) arithmetic
you can this by usin their formulas or
you see if it has common difference which is for arithmetic sequence or you find the common ratio which is geometric sequence.