if the slope and a point of a line are given, then the equation of the line can be written in point-slope form. truefalse
The slope and a point of a line are given then the equation of a line can be found. So the answer is true.
The equation of a line:
The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The most popular form in algebra is the "slope-intercept" form. y = mx + b. This in effect uses x as a parameter and writes y as a function of x: y = f(x) = mx+b.
Here we have to get to know if the slope and a point on a line are given then we can find the equation of a line or not.
Let us assume m is the slope of a line and (x1, y1) is the point on a line.
By this, we get the equation:
y- y1 = m( x - x1)
Therefore from the slope and a point on a line, we can find the equation of a line.
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To compare and order fractions,the fraction can be written with a
Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2
Step-by-step explanation:
if x = -2
= 9x² - 4x - 3
= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]
= 9 × 4 + 8 - 3
= 36 + 8 - 3
= 44 - 3
= 41
\(\huge{\boxed{{ x = -2}}}\)
\( 9x² - 4x - 3\)
\(↠ 9 (-2)² -4 (-2) - 3\)
\(↠ 9×4+8-3\)
\(↠ 36 + 8 -3\)
\(↠ 44-3\)
\(↠ 41\)
\(\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}\)
Solve the equation. Check your
solution.
vb - 4= 3
b = [?]
-
Mitchell took a math exam today. If he got 63 out of 84 questions correct, what percentage did Mitchell get wrong?
Answer:
i believe 0.75%.
Step-by-step explanation:
because 63 divide by 84 equals 0.75
Nikki says that a number and its absolute
value will always combine to make zero. Explain
why Nikki is incorrect.
Answer:
The absolute value of any number will always be positive meaning that if you start with a positive number the sum of its absolute value will not be zero. Although if you start out with a negative number the sum of its absolute value will be zero.
Step-by-step explanation:
Nikki is incorrect because: if you combine a number and its absolute value, it won't give you zero.
The absolute value of a number is the positive value of that number. i.e.:
If \(-a\) is a number, absolute value of \(-a\) is \(a\).
Thus:
Absolute value of a negative number is the positive value of that numberAbsolute value of a positive number is the positive value of that number.Therefore, using 5 as an example:
Absolute value of positive 5 (5) = 5.
Combine positive 5 (+5) with its absolute value (5), that is:
5 + 5 = 10
Therefore, Nikki is wrong because if you combine a positive number with its absolute value, it won't give you zero.
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(3x-70)
(3y+40)
120
x
Find the next four terms in the arithmetic sequence 1/4, 3/4, 5/4
Answer:
7/4, 9/4, 11/4, 13/4
Step-by-step explanation:
+ In an arithmetic sequence, to find the pattern you must subtract a term from the term after it to find the common difference.
3/4 subtracted from 5/4 is 2/4
1/4 subtracted from 3/4 is 2/4
+ So the common difference is 2/4 (Aka 1/2, but you want to keep the same denominator)
+ Therefore, between each new term, you add 2/4
1/4, 3/4, 5/4, 7/4, 9/4, 11/4, 13/4... and so on
Diane sold some stuffs at a garage sale. She spent one-half of the money she made on a new bicycle. Next, she spent one-half of what was left on a portable stereo. If Diane had $40.00 left, how much money did she make from the garage sale
Answer:
$160
Step-by-step explanation:
Diane sold some stuffs at a garage sale.
Let the total value of the money Diane made = x
She spent one-half of the money she made on a new bicycle.
Amount spent on a Bicycle = 1/2 × x = 1/2x
Next,
Amount left
= x - 1/2x = 1/2x
She spent one-half of what was left on a portable stereo.
Amount spent spent on Portable stereo
= 1/2 × 1/2x
= 1/4x
If Diane had $40.00 left,
Hence:
The fraction of what was left is calculated as:
= x - (1/2x + 1/4x)
= x - (3/4x)
= 1/4x
Hence:
1/4x = $40
We can find the value of x now.
1/4 × x = $40
x/4 = $40
x = $40 × 4
x = $160
Therefore, the amount she made from the garage sale is $160
Answer:
Hey hey guys, it is 160.00
Step-by-step explanation:
Query: for each project, retrieve its name if it has an employee working more than 15 hours on it Write your solution on paper and make sure of the foring - Your writing must be clear and easy to read
To retrieve the names of projects with an employee working more than 15 hours, you can use the following SQL query:
SELECT project.name FROM project
JOIN assignment ON project.id = assignment.project_id
JOIN employee ON assignment.employee_id = employee.id
WHERE assignment.hours > 15;
The query uses the SELECT statement to retrieve the name column from the project table. It performs joins with the assignment and employee tables using the appropriate foreign keys (project.id, assignment.project_id, assignment.employee_id, and employee.id). The JOIN keyword is used to combine the tables based on their relationships.
The WHERE clause specifies the condition assignment.hours > 15 to filter the assignments where an employee has worked more than 15 hours. Only the projects meeting this condition will be included in the result.
By executing this query, you will retrieve the names of projects that have at least one employee working more than 15 hours on them.
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5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000
Answer:
92% of Income is Rs 18400
Step-by-step explanation:
I = 18400/.92 = Rs 20000
PLEASE HELP ME FIND THE ANSWERR
Answer:
your answer should be 1,435.11 u think
How many real number solutions are there to the equation 0=4x^2+3x+2?
A.1
B.3
C.2
D.0
Reliable ______ are what make your research paper solid and strong. Make sure to find the best sources for your project.
Reliable sources are what make your research paper solid and strong.
Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.
This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.
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roup of softball players are training on a square-shaped sports ground with sides measuring 100 yards each. The players run around for 10 minutes to warm up. How many laps around the sports ground do they run given their average speed is 5 yards per second? Please add an explanation. I will mark the brainliest to whoever's answer is best and YOU GET 50 Points.
Answer:
7.5 laps
Step-by-step explanation:
First, you wanna figure out how many yards is in one lap
to do this, you would multiply 100 and 4 (four because there's four equal sides in one lap)
100 x 4 = 400
You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running
to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)
60 x 10 = 600 seconds
now to found out how much they will run in 10 minutes you will multiply 600 by 5
600 x 5 = 3000 yards
now to find how many laps this is, you can divide 3000 yards by 400 yards
3000 ÷ 400 = 7.5 laps
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Identity Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition Addition Property of Equality Distributive Property
Answer:
Inverse property of multiplication
Step-by-step explanation:
There is three question 1 ,2,3 can you answer all three please
a) Correct
b) Incorrect. Correct statement: cos(2∅) is an even function
c) Incorrect. Correct statement: Dot product of two vectors is scalar
d) Incorrect. Correct statemennt: sin(∅) > 0
e) Incorrect. Correct statement is shown below,
\(\begin{gathered} \text{Length of arc =}\frac{\phi}{360}\times2\pi r \\ \text{Where r = 5, }\phi=30^0\text{ and }\pi=3.14 \\ \text{Length of arc =}\frac{30^0}{360^0}\times2\times3.14\times5=2.62 \end{gathered}\)Correct statement: 2.62
f) Correct statment
you have $20.56. you buy an apple for 79 cents and a granola bar for $1.76. how much money did you spend?how much money do you have?
Let:
M = Total money = $20.56
Ca= Cost of the apple = 79 cents = $0.79
Cg = Cost of the granola bar = $1.76
Ms = Total money spent
Mr = Remaining money
So, the total money spent will be:
Ms = Ca + Cg = $0.79 + $1.76 = $2.55
And the remaining money will be:
Mr = M - Ms = $20.56 - $2.55 =$18.01
what are the major methods of recording unstructured observational data
The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.
The major methods of recording unstructured observational data are:
1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.
2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.
3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.
4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.
5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.
These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.
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CAN SOMEBODY HELP ME FACTOR AS THE PRODUCT OF TWO BINOMIALS
x²- x- 42
Answer:
(x-7)(x+6)
factor and see what works
Jk is a 60yr male hospitalized for a total knee replacement. he was given unfractionated heparin and developed heparin induced thrombocytopenia. argatroban is ordered at a dose of 2mcg/kg/min. the pharmacy provided the drug 100mg/250ml d5w. jk weighs 187lbs. at what rate(ml/hr.) should the nurse infuse argatroban to provide the desired dose?
The nurse should infuse argatroban at a rate of approximately 42.41 ml/hr.
To calculate the infusion rate of argatroban in ml/hr, we need to convert the weight of the patient from pounds to kilograms and then use the ordered dose to determine the infusion rate. Here are the steps:
1. Convert patient weight from pounds to kilograms:
187 lbs * (1 kg / 2.2046 lbs) = 84.82 kg (rounded to two decimal places)
2. Calculate the total dose per minute:
2 mcg/kg/min * 84.82 kg = 169.64 mcg/min
3. Convert the total dose from micrograms to milligrams:
169.64 mcg/min * (1 mg / 1000 mcg) = 0.16964 mg/min
4. Determine the infusion rate in ml/hr:
Since the pharmacy provided argatroban in a concentration of 100 mg/250 ml, we can set up a proportion:
0.16964 mg/min * (250 ml / 100 mg) * (60 min / 1 hr) = 42.41 ml/hr (rounded to two decimal places)
Therefore, the nurse should infuse argatroban at a rate of approximately 42.41 ml/hr to provide the desired dose for JK.
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Tell whether the relation is a function. Explain your reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
What are the 7 rules of logarithms?
The 7 rules of logarithms are as:
1. Rule of product.
2. Rule of division.
3. The Power/Exponential Rule.
4. A new fundamental rule.
5. Rule of the base swap.
6. Log derivative.
7. Log integral.
The alternate format for writing exponents is with logarithms. A number appears base-based logarithm is approximately equivalent to another number. A logarithm performs exponentiation's exact opposite function.
1. Rule of product: According to this rule, adding the individual logarithms of two logarithmic values results in the multiplication of those values.
\(Log_b (mn)= log_b m + log_b n\)
2. Rule of division: The difference between each logarithm is equivalent to the division of two logarithmic values.
\(Log_b \left(\frac{m}{n}\right)= log_b m - log_b n\)
3. The Power/Exponential Rule: According to the exponential rule, the exponent times the logarithm of m's logarithm is equivalent to m's logarithm with a reasonable exponent.
\(Log_b (m^n) = n log_b m\)
4. A new fundamental rule:
\(Log_b m =\frac{log_a m}{log_a b}\)
5. Rule of the base swap:
\(log_b (a) = \frac{1}{log_a (b)}\)
6. Log derivative: If f (x) = \(log_b (x)\), then the derivative of f(x) is given by;
\(f'(x) = \frac{1}{(x ln(b))}\)
7. Log integral:
\(\int{log_b(x)dx} = x\left(log_b(x) - \frac{1}{ln(b)}\right) + C\)
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express in two line copy(-2)×(+3)
(with photo)
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
Let Let the line l be x = 5 + 2t,y = 5t - 4,z = 3 + 3t. Find a point P = (x0,y0,Z0) where is parallel to l. P = Find a point Q = (x1, y1,z1) at which and l are perpendicular. Q = Give an equation for the set of all points at which and l are perpendicular. equation:
The direction vector of l is <2, 5, 3>, so the projection of the vector from (0, 0, 0) to (x, y, z) onto this direction vector is:
proj<0, 0, 0>(2, 5, 3)/||<2, 5, 3>||^2 * <2, 5, 3> = <0, 0, 0>
To find a point on the line l that is parallel to it, we simply need to choose any value of t and plug it into the parametric equations. Let's choose t = 1, then we have:
x = 5 + 2(1) = 7
y = 5(1) - 4 = 1
z = 3 + 3(1) = 6
So P = (7, 1, 6) is a point on the line l that is parallel to it.
To find a point Q at which the line and l are perpendicular, we need to find the point on l that is closest to the given point (0, 0, 0). This can be done by finding the projection of the vector from (0, 0, 0) to a point on l onto the direction vector of l. The direction vector of l is <2, 5, 3>, so the projection of the vector from (0, 0, 0) to (x, y, z) onto this direction vector is:
proj<0, 0, 0>(2, 5, 3)/||<2, 5, 3>||^2 * <2, 5, 3> = <0, 0, 0>
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Solve 2(x + 1) + 4 = 8
Answer: X=1
Step-by-step explanation:
2( x+1) +4=8
2x+2+4=8
2x+6=8
2x=8-6
2x=2
Divide both sides by 2
x=1
~~~~Inuola1234
lmk if you need me to explain further
Answer:
x=1
Step-by-step explanation:
Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
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If anyone can read my teachers bad handwriting, please help me it is 1:30 in the morning and if someone does this for me I will be giving them a cookie and hugs::):):)
Answer:
she wrote: (3,1) (6,1) (6,4)
1 step one R (X-axis) --> step two R (180°,0) --> step three R (Y-axis)
(I honestly have no clue what she is doing but, its stupid)
Does someone mind helping me with this? Thank you!
Answer: The answer is x = 12/7 , -12/7
Step-by-step explanation:
Why did oslo go to the sled and sleigh auction
Oslo went to the sled and sleigh auction because he needed to find a mode of transportation for his upcoming winter camping trip.
He had been searching for weeks for the perfect sled or sleigh that would be durable enough to carry all of his gear and withstand the harsh winter conditions. The auction offered a variety of options and he was able to find a sled that met all of his requirements.
Additionally, attending the auction allowed him to network with other winter enthusiasts and gain valuable insight into the best equipment and techniques for winter camping.
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