What is the slope of the line containing (–2, 5) and (4, –4)?
A. 2
B. –3/2
C. –2
D. 3/2
The slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].
What is slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is the formula for finding the slope of line from two points?[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Where,
m is the slope of line.
[tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2},y_{2})[/tex] are the two points.
According to the given question.
We have two points (-2,5) and (4,-4).
Therefore, the slope of the line containing the points (-2, 5) and (4, -4) is given by
[tex]m = \frac{-4-5}{4-(-2)}[/tex]
⇒[tex]m = \frac{-9}{6}[/tex]
⇒[tex]m =\frac{-3}{2}[/tex]
Hence, the slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].
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Can anybody help me with questions 6-9?
6. z=2a-p
7. w= A/L
8. w= v/Lh
9. t= (A-P)/PR
Nolan did the following work to solve the problem -14.52 + 7.3. 14.52 - 7.3 7.22 So, 14.52 - 7.3 = 7.22 Which of the statements is true about his work and answer? His answer is correct. His answer is incorrect, because the answer should be negative. His answer is incorrect, because he didn't line up the decimals.
The true statement is: His answer is incorrect, because the answer should be negative.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
Step 1: -14.52 + 7.3
Step 2: 14.52 - 7.3
Step 3: 7.22
So, 14.52 - 7.3 = 7.22
Nolan made a mistake in step 2 because 14.52 is negative and the answer should be negative.
So, His answer is incorrect, because the answer should be negative.
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If an inequality is multiplied or divided by a negative number, the inequality sign should be ___________.
Answer:
You should change the direction of the sign.
Step-by-step explanation:
This is a general rule for all inequalities. Whenever multiplying or dividing by a negative, always change the direction of the sign
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket.
The data below were obtained from a pulse-chase experiment in which cells were examined at different times during the chase period. the numbers represent the radioactivity (measured in counts per minute) recorded at each of the indicated sites. the higher the number, the greater the radioactivity. time er golgi cytoplasm lysosomes extracellular space 3 minutes 162 7 21 5 4 20 minutes 73 88 17 10 8 60 minutes 9 35 14 112 13 120 minutes 11 23 18 151 10 based on these data, what is the most likely function of the cells in this experiment
Final answer:
The most likely function of the cells in this pulse-chase experiment is to synthesize, process, and degrade or secrete proteins. This is deduced from the movement of radioactivity from the ER to the Golgi apparatus, then to lysosomes and the extracellular space over time.
Explanation:
Based on the data provided, which stem from a pulse-chase experiment, we can infer the most likely function of the cells. Initially, radioactivity is high in the endoplasmic reticulum (ER), indicating that newly synthesized proteins, likely labeled with radioactive amino acids, are present there.
As time progresses, radioactivity moves to the Golgi apparatus, implying that proteins are being processed and modified.
Eventually, the highest levels of radioactivity are found in the lysosomes and then the extracellular space, suggesting that these proteins are being degraded and secreted respectively.
This sequence of events indicates that the cells are involved in synthesizing, processing, and secreting proteins, with some being targeted for degradation in lysosomes.
This is a fundamental part of the protein secretory pathway in cells. The data reveal the dynamic movement of molecules within the cell, reflecting the pathway from synthesis to secretion or degradation.
which graph shows the inequality n>-2
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is calculated using the binomial probability formula.
Explanation:To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. Since a passing grade is 60%, this corresponds to 12 correct answers out of 20. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is given by the binomial probability formula:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
Using this formula, we can calculate the probability of passing the quiz.
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The problem can be solved using binomial distribution principles where the number of trials is the total number of questions (20), success is answering a question correctly, and the probability of success is 1/5 since the answers are guessed randomly. Calculate the cumulative binomial probability for getting 12 (minimum passing grade at 60%) to 20 (total questions) correct answers. This gives the probability of passing the test.
Explanation:The question asks about the probability of passing a 20 question quiz with each question having 5 possible answers, by making random guesses. To pass the quiz, a grade of 60% is required which means at least 12 questions need to be answered correctly. Since the answers are guessed randomly, the chance of picking the correct answer for each question is 1/5 or 0.2.
We can treat this problem as a binomial distribution problem, where the success is answering a question correctly. In this case, the number of trials is n=20 (the total number of questions), the number of success k is 12 or more (the minimum number of correct answers required to pass), and the probability of success p is 0.2 (since there are 5 multiple choice options per question).
Calculating the cumulative binomial probability for k=12 to n=20, we get the required probability of passing the test. Given that we have to calculate multiple probabilities and sum them, this problem might be easier to solve if you have statistical software or a calculator that can compute binomial distributions.
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AOB and BOC are _____.
complementary angles
supplementary angles
right angles
vertical angles
27 is 2/3 of what number?
Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?
288
1156
366
576
A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections and each section has 8 pages. How many sections does the newspaper have
What is x percent of y percent of z, in terms of x, y, and z?
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks.
b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks.
c. Chuy will save more than he needs and will meet his goal in less than 27 weeks.
d. There is not enough information given to make a conclusion about Chuy's plan.
Answer:
Option C. is correct.
Step-by-step explanation:
Chuy needs $1,350 to buy a new television.
he decides to save the same amount of money each week for 27 weeks.
In 8 weeks Chuy saved = $440
In 1 week Chuy saved $440 ÷ 8 = $43.00
Therfore, in 27 weeks Chuy can save = 43.00 × 27 = $1485.00
Chuy can save $1485.00 in 27 weeks that is more than he needs.
So Option c. would be correct Chuy will save more than he needs and will meet his goal in less than 27 weeks.
help picture attached !!
The frequency of an AM radio is 1.4 x 106 hertz (cycles per second). Approximately, how many cycles are completed in a minute?
Answer:
84,000,000
Step-by-step explanation:
Which of the following statements are true? Check all that apply.
The perimeter of a square depends on the length of its sides. A square with a side length of 4 meters has a perimeter of 16 meters. A square with a side length of 6 meters has a perimeter of 24 meters.
A. Perimeter(16) = 4
B. Perimeter(6) = 24
C. Perimeter(24) = 6
D. Perimeter(4) = 16
Someone please help me
Find the value of x .
A) 80
B) 100
C) 130
D)120
130 +145 +65+160+120 = 620
the total inside angles for a 6 sided polygon should = 720
so x = 720-620 = 100
B is the answer
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. how long is the book?
Answer: There are 550 pages in the book
Explanation:
Since we have given that
Number of pages per hour Naoya read = 55
Number of hours he read the book = 4
Total number of pages he read is given by
[tex]55\times 4=220[/tex]
Still there are some pages are left ,
Number of pages left = 330
So, total number of pages in the book is given by
[tex]330+220=550[/tex]
Hence, there are 550 pages in the book .
Answer:
550 pages 10 hours
Step-by-step explanation:
Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x - 4y =28
Greg is opening a car wash. He estimates his cost equation as C = 9000 + 0.09x and his revenue equation as R = 1.85x, where x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.
9000+0.09x = 1.85x
subtract 0.09x from each side
9000 = 1.76x
divide both sides by 1.76
x = 9000/1.76
x = 5113. 64
he needs to wash 5114 cars to make a profit.
Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in deficit?
a.The government raises sales and property taxes without adjusting expenditures.
b.The county closes a fire station, reducing expenditures, without adjusting taxes.
c.The county gives all public school teachers a $2,000 raise without adjusting taxes.
d.The county collects donations to build a fountain in city hall.
Answer:
C.The county gives all public school teachers a $2,000 raise without adjusting taxes.
Step-by-step explanation:
100% on edge
The correct answer is Option (C).The county gives all public school teachers a $2,000 raise without adjusting taxes.
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A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
a.193.8 cubic inches (in^3)
b.2325.6 cubic inches (in^3)
c.1.35 cubic inches (in^3)
d.16.15 cubic inches (in^3)
Suppose you have two credit cards. The first has a balance of $415 and a credit limit of $1,000. The second has a balance of $215 and a credit limit of $750. What is your overall credit utilization?
Which statements prove that a quadrilateral is a parallelogram?
Select each correct answer.
Quadrilateral DEFG has one diagonal that bisects the other diagonal.
Quadrilateral DEFG has only one set of opposite angles that are congruent.
Quadrilateral DEFG has two sets of consecutive angles that are supplementary.
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" proves that a quadrilateral is a parallelogram.
A quadrilateral has 4 sides and the sum of interior angles are [tex]360^\circ[/tex] where as the parallelogram is a quadrilateral whose oppposite sides are parallel to each other.
The following statements are:
A). The statement "Quadrilateral DEFG has one diagonal that bisects the other diagonal" is incorrect because both diagonals have to bisect each other.
B). The statement "Quadrilateral DEFG has only one set of opposite angles that are congruent" is incorrect because a quadrilateral is a parallelogram when it has two sets of opposite angles that are congruent.
C). The statement "Quadrilateral DEFG has two sets of consecutive angles that are supplementary" is incorrect although it is a property of parallelogram.
D). The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" is correct this statement proves that a quadrilateral is a parallelogram.
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Graph the logarithmic equation y= log 5x
The perimeter of a given is an integer. the length of side one is 4 times the length of side 2. side three is 33. what is the largest and smallest possible perimeter
H(x)=-4x+3;when h(x)=11
Solve for x and y please !!
since both inside angles are 45, the height and the base would be the same
the height is 72 yd
so the base (y) would also be 72 yd
Y = 72
and x would equal y * sqrt(2)
so x = 72sqrt(2)