Answers
The slopes of the lines are listed below:
Case 1: m = - 1
Case 2: m = 1 / 2
Case 3: m = 3
Case 4: m = 2
How to determine the slope of a line
In this question we find five cases of line equations, whose slopes must be determined. This can be done by two approaches. First, using the secant line formula:
m = Δy / Δx
Where m is the slope.
Second, writing the equation of the line in its explicit form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.Now we proceed to determine the slope of each line:
Case 1
m = (6 - 8) / [- 2 - (- 4)]
m = - 2 / 2
m = - 1
Case 2
y = (1 / 2) · x + 8
m = 1 / 2
Case 3
m = [5 - (- 7)] / [2 - (- 2)]
m = 12 / 4
m = 3
Case 4
2 · y = 4 · x + 12
y = 2 · x + 6
m = 2
To learn more on slopes of lines: https://brainly.com/question/29082598
#SPJ1
Related Questions
An industrial psychologist consulting with Lara music stores knows that the average number of complaints management receives each month throughout the industry is 6, but the standard deviation is unknown. Twenty of the Lara music stores were randomly selected to record complaints for one month; the mean of this sample was 3 and its standard deviation was 1.5. Using the .05 significance level, is the number of complaints received by Lara music stores different from the number of complaints received by music stores in general
Answers
Answer:
Step-by-step explanation:
H0 : μ ≥ 6
H1 : μ < 6
Test statistic :
n = 20
Sample Mean, x = 3
σ = 1.5
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (3 - 6) ÷ 1.5/sqrt(20)
Test statistic = - 3 / 0.3354101
Test statistic = −8.944271
Since, sample size is < 30 ;
Obtaining the Critical value using the from T;
Tcritical at 0.05, df = 19 = - 1.729
Tstatistic < Tcritical
−8.944271 < - 1.729
Hence, we reject the Null:
We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.
how do u do cordanince
Answers
we know that
Each ordered pair has two coordinates
(x,y)
the first coordinate is the x-coordinate
the second coordinate is the y-coordinate
Example
(1,5)
x=1
y=5
so
Point A
x=2
y=4
Point A is (2,4)
Point B
x=-1
y=2
Point B (-1,2)
Point C
x=-3
y=-2
Point C (-3,-2)
Point D
x=2
y=0
Point D (2,0)
Point E
x=0
y=-4
Point E(0,-4)
Point F
x=5
y=-4
Point F (5,-4)
Quadrants
we have that
quadrant I -------> x and y are positive
quadrant II -----> x negative and y positive
quadrant III -----> X and y negative
quadrant IV -----> x positive and y negative
so
Point A -------> I quadrant
Point B ------> II quadrant
Point C ------> III quadrant
Point D -----> I quadrant (x-axis)
Point E ------> IV quadrant (y-axis)
Point F -----> IV qadrant
I have a 12th grade AP calculus question picture including about derivatives
Answers
The given functions are
\(\begin{gathered} f(x)=e^x \\ \\ g(x)=ln(x) \end{gathered}\)Since we need to find the derivative of g(x)
Then we will use
\(x\frac{dy}{dx}=1\)Divide both sides by x
\(\frac{dy}{dx}=\frac{1}{x}\)Plug in (lnx) for y
\(\frac{d}{dx}ln(x)=\frac{1}{x}\)Then
\([ln(x)]^{\prime}=\frac{1}{x}\)From here we can say
\(g^{\prime}(x)=\frac{1}{x}\)Can y’all help me on question 21?!
Answers
Answer:
24
Step-by-step explanation:
96 divided by 4 = 24
You can solve this by doing guess and check.
So 4x24 = 96
Evaluate e^-1.6 round your answer to five decimal places
Answers
=> 0.20190
whoever answers this correctly gets brainliest
Answers
The ratio of 7th graders to 8th graders in a club is 8 to 3. If there are fifteen more 7th graders than 8th graders, find the number of students represented in each grade
Answers
Answer:
23 to 3
Step-by-step explanation:
you add 15 to the seventh graders because its fifteen more seventh graders
Graph the solution set.
3x - y < 9
2x + y 26
-20
Graph Lay
Answers
The solutions of x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,
which is the x-coordinate of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9
What is quadratic equation?"It is a polynomial equation with degree two."
"The general form of quadratic equation is , where a, b, c are real numbers with a ≠ 0."
here, we have,
For given question,
We have been given an quadratic equation x² - 2x - 4 = -3x + 9
We simplify above quadratic equation.
=> x² - 2x - 4 = -3x + 9
solving we get,
=> x = -4.14 and x = 3.14
Consider the graphs for y = x² - 2x - 4 and y = -3x + 9 as shown below.
Therefore, the solutions of x² - 2x - 4 = -3x + 9 are x = -4.14 and x = 3.14,
which is the x-coordinates of the intersection points of the graphs of y = x² - 2x - 4 and y = -3x + 9
Learn more about quadratic equation here:
brainly.com/question/18573046
#SPJ1
Which statements describe a parallelogram that must be a rectangle?
Select each correct answer.
parallelogram with a pair of congruent consecutive sides
parallelogram with congruent diagonals
parallelogram with opposite sides congruent
• parallelogram with a right angle
• parallelogram with perpendicular diagonals
Answers
Answer:
A parallelogram with congruent diagonals, a parallelogram with a right angle, a parallelogram with perpendicular diagonals.
Step-by-step explanation:
By definition, a rectangle is nothing but a parallelogram with one right angle. One of the properties of a rectangle is that its perpendiculars are congruent. Finally, the diagonals of a rectangle are congruent (this can be proved by finding congruent triangles split by the diagonals, using CPCTC, etc.).
A cylindrical tank with a cross-sectional area of 441 cm squared is filled to a depth of 441 cm with water. At tequals0, a drain in the bottom of the tank with an area of 21 cm squared is opened, allowing water to flow out of the tank. The depth of water in the tank at time tgreater than or equals0 is d(t)equals(21 minus 1.1 t )squared.
At what time is the tank empty?
Answers
Question 1 of 5 Which number line shows the solutions to x < 5? OA. -3 -6 -4 -2 0 2 4 6 8 OB. O C. -8 -6 -4 -2 0 2 4 6 8 -8-6-4-2 0 2 4 6 8 OD. 864 2 0 2 4 6 8
Answers
The number line that shows the solutions of x < 5
B. O What is number line?A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.
The solution of x < 5 should consist of number less than 5
The inequality used is less than and hence should have values saying less than
Other options has numbers more than 5 such as 6 except option B
Learn more about number line at:
https://brainly.com/question/25230781
#SPJ1
At the same time, Min's little
brother throws a baseball from a
height of 4 feet with an initial
vertical velocity of 20 feet per
second. What polynomial models
the height of this ball, in feet?
–162 +
t +
DONE
High school guestion
Answers
Answer: 20t +4
Step-by-step explanation:
To find the partial Sun of this series Ev100 n=1
Answers
There two formulaes for getting the sum of a series.
If the common ratio, r < 1, we use
\(S_n=\text{ }\frac{a(1-r^n)}{1-r}\)This is to ensure that we don't get a negative term in the bracket.
As r = 1/2 in less than 1 as in our case, we apply this formula.
If otherwise, we use:
\(S_n=\text{ }\frac{a(r^n-1)}{r-1}\)Thus our answer is TRUE
The dashes in front of the fractions are negative signs.
Answers
Answer
5½
Explanation
We are asked to multiply the two mixed fractions given.
To do that, we will first convert each of them into improper fractions
-3 (2/3) = (-11/3)
-1½ = (-3/2)
So, we can solve this now
-3(2/3) . -1½
= (-11/3) × (-3/2)
= (33/6)
= (11/2)
We will then convert this into the mixed fractions
(11/2) = 5½
Hope this Helps!!!
A sign on a roadway at bottom of a mountain road indicates that the road will incline 10.5° with the ground. The altitude for a car ascending up the mountain road is 3,850 ft. Find the length of the mountain road in miles.
Answers
Answer: 3.94 miles
Step-by-step explanation: To find the length of the mountain road, we use the tangent function. The opposite side is the altitude of the car (3,850 ft) and the adjacent side is the length of the mountain road. We solve for the adjacent side and convert from feet to miles.
Therefore, the length of the mountain road is approximately 3.94 miles.
13.5% of 1400 round to nearest hundredths
Answers
Answer:
189
Step-by-step explanation:
(13.5 / 100) 1400 = 189
yw ;)
What are you primarily doing when you reconcile your checking account?
a.
Making sure the bank spelled your name properly.
b.
Making sure that your records match your bank’s records.
c.
Writing down the transactions that your bank automatically records so you don’t have to.
d.
Calling the bank to check the dates on each transaction.
Answers
Answer:
Its B
Step-by-step explanation:
Reconciliation is an accounting process that compares two sets of records to check that figures are correct and in agreement
Hope this helps
(>'-'<)
Rae's unpaid credit card balance was $1,603. Her APR is 28.6%. What is her new
balance after she makes one new transaction for $51? Round answer to the
hundredths place. If answer doesn't have a hundredths place then include a zero so
that it does. Use a word not a symbol for the units.
Answers
$2010.458 is her new balance after she makes one new transaction for $51.
What does a credit balance mean?
The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.
When you return something you purchased with your credit card, you can receive an additional credit.
Credit balance = $1,603
APR = 28.6%
= 28.6% * $1,603
= 458.458
Credit balance = $1,603 + 458.458
= $2061.458
net balance = $2061.458 - 51
= $2010.458
Learn more about credit balance
brainly.com/question/14781034
#SPJ1
In the situation below, indicate whether it makes more sense to use a relatively large significance level (such as α=0.10 ) or a relatively small significance level (such as α=0.01 ). Testing to see if a well-known company is lying in its advertising. If there is evidence that the company is lying, the Federal Trade Commission will file a lawsuit against them. Relatively large significance level Relatively small significance level
Answers
It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.
Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.
Find out more about the Federal Trade Commission
at brainly.com/question/31315566
#SPJ4
Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!
Answers
Answer:
the third one is the correct answer
\(b { }^{ - 16} \)
Step-by-step explanation:
hope the helps
Answer:
b to power of -16
Step-by-step explanation:
(yes/no) whether the primitive proof rule has been correctly applied at the last line?
Answers
All the primitive proof rules are given below.
What is proof?A proof is a sequence of lines containing sentences. Each sentence is either an assumption or the result of applying a rule of proof to earlier sentences in the sequence. The primitive rules of proof are stated below.
Given is to check the applicability of the primitive proof rule.
Ampersand Introduction &I :
Given two statements A and B, you may conclude their conjunction.
A, B ⊢ A&BTwo-line ruleAmpersand Elimination &E :
Given a statement that is a conjunction, A&B, you may conclude either conjunct.
A&B ⊢ BOne-line ruleWedge Introduction vI :
Given a statement, A, you may conclude any disjunction having A as a disjunct.
A ⊢ BvAOne-line ruleWedge Elimination vE :
Given a statement that is a disjunction, AvB, and another statement that is the denial of one of its disjuncts, you may conclude the other disjunct.
AvB, ~B ⊢ ANote: Can only be used if you have both a disjunction and the denial of one of its disjuncts.Two-line ruleArrow Introduction →I :
Given a statement, B, you may conclude a conditional having B as the consequent if the antecedent, A, appears in the proof as an assumption, and B is derivable from A.
A (assumed),...B (derived) ⊢ A→BNote: The conditional is proved by temporarily assuming the antecedent to show that the consequent follows when it is true. Once the conditional is proved, the assumed antecedent must be discharged from the proof.Assumption RuleArrow Elimination →E :
Given a statement that is a conditional, A→B, and another statement that is its antecedent, A, you may conclude the consequent of the conditional, B.
A→B, A ⊢BNote: Can only be used if you have both a conditional and the antecedent of that conditional.Two-line ruleDouble-arrow Introduction ↔I :
Given two conditional statements having the forms A→B and B→A, you may conclude a biconditional
statement with A and B as its constituents.
A→B, B→A ⊢ A↔BTwo-line ruleDouble-arrow Elimination ↔E :
Given a statement that is a biconditional, A↔B, you may conclude either A→B or B→A.
A↔B ⊢ A→BOne-line ruleTherefore, all the primitive proof rules are given above.
To solve more questions on primitive proof rules, visit the link -
brainly.com/question/30098550
#SPJ1
Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete
Answers
Answer:
18
Step-by-step explanation:
30*0.4=12
This means 40% of 30 is 12 and Ana has completed 12 problems.
30-12 = 18, so she still needs to do 18 problems.
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answers
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
Can someone pls help me with this i only have a little bit of time left pls hurry
Answers
Check out the attached photo
6) Lily was going to have a party so she
bought some sweets.She bought some
cookies and brownies. Cookies were $2 and
brownies were $3. She spent $144 for a total
of 60 sweets. How many cookies and
brownies did she buy?
Answers
Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."
According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.
We can set up two equations based on the given information:
C + B = 60 (equation 1, representing the total number of sweets)
2C + 3B = 144 (equation 2, representing the total cost in dollars)
To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.
From equation 1, we can rewrite it as C = 60 - B.
Now substitute this value of C in equation 2:
2(60 - B) + 3B = 144
Simplify the equation:
120 - 2B + 3B = 144
Combine like terms:
120 + B = 144
Subtract 120 from both sides:
B = 144 - 120
B = 24
Now substitute the value of B back into equation 1 to find C:
C + 24 = 60
C = 60 - 24
C = 36
Therefore, Lily bought 36 cookies and 24 brownies.
The dot plot shows the prices (in dollars) of jeans. What are the most appropriate measures to describe the center and the variation? Find the measures you chose.
Answers
To describe the center of the data, we can use either the mean or the median.
To describe the variation of the data, we can use either the range or the interquartile range (IQR).
Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.
To find the median and IQR:
Arrange the data in order from smallest to largest.
Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.
Find the first quartile, which is the median of the lower half of the data.
Find the third quartile, which is the median of the upper half of the data.
Calculate the IQR as the difference between the third quartile and the first quartile.
Here are the steps applied to the dot plot:
We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.
The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.
The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.
The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.
The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.
Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.
Asha mixes 50 milliliters of yogurt, 100 milliliters of orange juice, and 250 milliliters of milk to make a regular smoothie Asha wants to make regular smoothies for herself, her two friends, and a small smoothie that is half the size of a regular smoothie for her younger brother. How much yogurt, orange juice, and milk will she need?
Answers
Half of a certain number is three more than the number
Answers
Answer:
x = -1.2
Step-by-step explanation:
Let this number be x.
x+3 = 0.5x
x-0.5x = -3
2.5x = -3
x = -1.2
Solve each inequality. Then graph the solution.1. -6t-3-2t - 192. - 3(m - 4) <63. 4(1 - x) < 164. 2y <-35. 3(v - 4) 5V - 246. -X – 1 > 3x + 1Solve each inequality.7. 2(k + 4) – 3k < 148. 3(4c – 5) – 2c> 09. 15(j – 3) + 3j < 4510. 22 > 5(2y + 3) – 3y11. -53 > -3(3z + 3) + 3z12. 20(d – 4) + 4d < 813. -2(6 + s)< -16 + 2s14. 9 - 2x < 7 + 2(x – 3)Solve each inequality.If all real-number values of x are solutions of the inequality, write TRUE.If no real-number values of x are solutions of the inequality, write FALSE.15. 2(n − 3) < -13 + 2n16. -3(w + 3) < 9 - 3w17. The unit cost for a piece of fabric is $4.99 per yard including tax. You havto spend on material. How many whole feet of material can you buy?
Answers
7. The unit cost for a piece of fabric is $4.99 per yard including tax. You have $30 to spend on material. How many whole feet of material can you buy?
we know that
1 yard --------> cost $4.99
so
x yards ------> $30
Applying proportion or rule of three
x=30/4,99
x=6.01 yd
answer 6 yards
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Answers
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2