y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .
What is slope ?
The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").Given points : (0, 5) and (−2, 11)
Slope of the line passing through given points
[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]
Thus, slope of line passing through given points m=-3
We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)
Thus, equation of a line passing through (−2, 11) with slope m=-3 will be
( y - 11 ) = -3 ( x - (-2))
y - 11 = -3 ( x + 2)
Hence, the equation of line is y - 11 = -3 ( x + 2).
Learn more about slope
brainly.com/question/3605446
#SPJ4
Thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replaced before the next marble is drawn, find the probability for the given draw :
A red marble?
A red or a green marble?
An Orange marble?
Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.
Without simplifying the expression, determine weather [tex]\frac{1}{50}[/tex] - [tex]\frac{1}{51}[/tex] is a positive or a negative number.
Roman earns $8.50 an hour as an intern at law firm. Usually he works 30 hours a week. This week however, there is a big case and he worked 47 hours. What is his gross pay for this week? (Standard overtime rules.)
The gross pay for this week after working overtime is $471.75.
What is the overtime pay rule?
The civil overtime vittles are contained in the Fair Labor norms Act, Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.
Usual earning Earning = $8.5 for 30 hours for a week
Overtime = 47 hours-30 =17 hours
Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week
Gross pay= ($8.5*30)+($12.75*17)
= 255 + 216.75
= 471.75.
The gross pay for this week after working overtime is $471.75.
Learn more about the overtime pay rule here: https://brainly.com/question/788795
#SPJ9
Write each equation in function notation. y=12+3/4x
Step-by-step explanation:
y = f(x)
this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.
so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),
y = 12 + (3/4)x
is the same as
f(x) = 12 + (3/4)x
you could also write it as
f(x) = 12 + 3x/4
don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.
How long will it take
you to
drive 135 miles at a speed of
45 miles per hour?
Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
Step-by-step explanation:
Define Time and Distance and Speed:
The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as
Distance ∝ Time (Eq. 1)
The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.
Speed ∝ Distance (Eq.2)
Speed∝1/Time (Eq.3)
Then, we can represent each parameter through the following equations:
Speed =Distance/Time
Distance=Speed × Time
Time =Distance/Speed
We can write:
Distance covered by driving: d=135 miles
Driving speed: s=45 mph
Recall the formula for the relationship of time, distance, and speed.
Time =Distance/Speed
Substitute d=135 and s=45 into the above formula, and simplify.
t=d/s
t=135/45
t=3 hours
Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
Learn about more information https://brainly.in/question/46249350
#SPJ9
Solve the proportion.
4/5= y/7 what is y
Answer: Exact Form: 28/5
Step-by-step explanation:
Answer:
y = 28/5
Step-by-step explanation:
Let's solve the problem,
→ 4/5 = y/7
→ y = 7 × (4/5)
→ [ y = 28/5 ]
Hence, the value is 28/5.
1. Simplify. Show all steps for full credit. Circle your final answer. (4 points).
(4+1)^3/ 2+4^2-13
Answer: 25
Step-by-step explanation:
(4+1)^3/ 2+4^2-13=
5^3/(2+16-13) =
125/(18-13)=
125/5=25
Solve for x.
(x+40)°
(3x-17)
(2x-5)
Answer:
x = 27
Step-by-step explanation:
All angles in a triangle add up to 180 degrees
180 = (3x - 17) + (x + 40) + (2x - 5)
Combine like terms.
180 = 6x + 18
Subtract 18 from both sides.
162 = 6x
Divide both sides by 6.
x = 27
the width of a rectangular garden is x-meter and it's length is & more than it's width
Find the (a)areas, (b)perimeter.
pa help po need po now
Answer:
A. width = x - 4.5
B. 111 = 2(x + (x -4.5))
Step-by-step explanation:
A. The width is 4.5 meters shorter than x, so is x -4.5.
__
B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...
111 = 2(x + (x -4.5))
How do I find the slope
Answer:
y=4x-1
Step-by-step explanation:
to find the slope you use this equation
(y2-y1) / (x2-x1)
you also need y=mx+b to write in your final equation for the slope,
m is the slope and b is the y intercept (where the point meets the y axis, horizontal line that goes like this | )
first, you got lucky this equation gave you the b value( remember, b is the y intercept) , which you can find when x is 0.
to find the slope we choose any two coordinates (x,y) from the table
i choose (0,-1) and (5,19)
and we put this in this formula
(y2-y1) /
(x2-x1)
(19+1) it’s plus because subtracting a negative - - makes it positive
so
(19+1)/
(5-0)
= 20/5 which is 4. so m( the slope) m=4
now that we have b=-1 and m=4 we can write the final answer equation
which is
y=4x-1
Determine if there is an outlier in the given data. if yes, please state the value(s) that are considered outliers. 43,44,25,13,47,34,9,53,25,41,9,54,31,6
There is an upper outlier and lower outlier that is 86.875 and -26.875.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal. Before abnormal observations can be singled out, it is necessary to characterize normal observations.
Descriptive statistics
data=n=14
mean= 30.29
sample standard deviation= 18.35
sample variance = 336.84
minimum= 1
maximum= 52
range= 51
1st quartile
16.25 = median
37.50 = 2nd Quartile.
3rd quartile = 44.50
4th interquartile range = 28.25
mode = 3.00
Lower limit for outlier = Q1-1.5*IQR =16.25-1.5*28.25 =-26.125
Upper limit for outlier = Q3+1.5*IQR =44.50+1.5*28.25 =86.875
All the data points inside the limits.
To know more about "Interquartile range"
Refer this link:
https://brainly.com/question/21270410
#SPJ4
A company invests $12,000 to produce a product that will sell for $49.60. Each unit costs $7:45 to produce. (a) How many units must the company sell to break even? units (b) How many units must the company sell to make a profit of $115,0002 units
Answer:
Step-by-step explanation:
a=number of products
product profit=49,60-7,45=42,15
115000+1200=42,15xa
127000=42,15xa
a=3013
Use cross products to solve the proportion.
StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction
1. Use cross products: (4)(12) = 3x
2. Multiply: 48 = 3x
3. Divide both sides by 3:
= x
drawing.
According to the cross product, The value of x in the expression becomes 16.
According to the statement
We have to find that the value of the expression.
So, For this purpose, we know that the
Cross product is a binary operation on two vectors in three-dimensional space.
From the given information:
The expression is a
StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction
IN simple words, it becomes:
4/3 = x/12
Then we have to find the value of the x then
4/3 = x/12
Now cross multiply each other then
4 =3x/12
3x = 48
Then
x = 48/3
x = 16.
So, According to the cross product, The value of x in the expression becomes 16.
Learn more about Cross product here
https://brainly.com/question/4344214
#SPJ9
Help pleaseeeeeeeeee
Answer:
y2 = m*(x2 - x1) + y1
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
y2 - y1 = m*(x2 - x1)
y2 = m*(x2 - x1) + y1
Identify the name of the picture
Answer:
A blank one
Step-by-step explanation:
There's no picture
Answer:
Sussy
Step-by-step explanation:
1. There is nothing
2. Imposters are barely visible.
3. Your welcome
Please help due soon.
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
2, 4, 8, 16, 32, 64, ... The number 4,096 belongs to this sequence. What is the number that immediately precedes it?
Lashonda is participating in a 4 day cross-country biking challenge. she biked for 50,51,63 and miles on the first three days. how many miles does she need to bike on the last day so that her average (mean) is 54 miles per day?
Lashonda biked for 50,51, and 63 miles on the first three days, to make average 54 miles per she needs to bike 52 miles on the last day.
As given,
Lashonda biked for first three days = 50, 51, 63 miles
Let x miles she bike last day
Average = 54 miles per day
Average = (50 + 51 + 63 + x) /4
⇒ 54 = (164 + x) /4
⇒ x = 216-164
⇒ x= 52 miles
Therefore, Lashonda needs to bike 52miles last day to make average 54miles per day.
Learn more about average here
brainly.com/question/27646993
#SPJ4
The result of dividing 107 by 10^-3 is?10-4. 102.5. 1010. 104.
The result of diving 107 by 10⁻³ is (E) 107,000.
What do we mean by division?The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers. Addition, subtraction, and multiplication are the other operations.At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another. For example, if 20 apples are distributed evenly among four people, each receives five apples (see picture).So, we know that 10⁻³ is 0.001.
Now, 107/0.001 = 107,000.Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.
Know more about division here:
https://brainly.com/question/25289437
#SPJ4
The correct question is given below:
The result of dividing 107 by 10^-3 is?
a. 10-4.
b. 102.5.
c. 1010.
d. 104.
e. 107,000
Why is 3x1/10 less than 3x10 I need help ASAP
A the value of 1 ten is less than the value of 1 tenth
B the value of 1 tenth is less than the value of 3 tenths
C The value of 1 ten is less than the value of 3 tens
D The value of 1 tenth is less than the value of 1 ten
Answer:
The value of 1 tenth is less than the value of 1 ten
Step-by-step explanation:
1 tenth = 0.1
1 ten = 10
0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.
What is 4x4....................................................
Answer:
16
Step-by-step explanation:
A water tank discharges at the rate of 80 L/min. How long would it take to
discharge 4800 L?
Step-by-step explanation:
so, 80 L can get out of the tank every minute.
how long for 4800 L ?
that simply means "how many minutes for 4800 L ?"
and this we get by dividing 4800 by 80 (to see how often 80 fits into 4800) :
4800 / 80 = 60 minutes
so, it takes 60 minutes or 1 hour to discharge 4800 L.
a runner wants to run 11.7 kmkm . her running pace is 8.1 mi/hrmi/hr . how many minutes must she run?
The runner should run for roughly around 54 minutes.
What do we mean by conversion factors?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.To find how many minutes must the runner run:
1 mile = 1.6 kmSo, 8.1 miles = 1.6 kmMinutes required are:
11.7 × 60 / 8.1 × 1.6 = 54.16Therefore, the runner should run for roughly around 54 minutes.
Know more about conversion factors here:
https://brainly.com/question/97386
#SPJ4
what is equivalent to -28x2 + 35x?
(35x) + (-56) this is an equivalent equation.
Answer:
7x(-4x+5)
Multiplying: -56+35x
Step-by-step explanation:
[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]
The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.
The other result, however, came from this:
[tex]-28\cdot \:2=-56\\=-56+35x[/tex]
Inform me of any concerns. Hope this helps.
What is 5 x x I don’t know the answer please give me it!
Answer:
5i is an imaginary number and it's square is - 25.
by definition zero is considered to be both real and imaginary.
Step-by-step explanation:
#studywell #workhard #worksmart
PLEASE PLEASE ANSWER QUICK
What is the domain of the relation?
a mini bottle of water contains 8 ounces of water you need 4 1/4 gallons of water how many mini water bottles do you need
The number of mini bottles required is; 68 mini bottles
How to convert units of measurement?
We are told that a mini bottle of water contains 8 ounces of water.
Now, we are told that you require 4¹/₄ = 4.25gallons of water.
Now from conversions, we know that;
1 gallon = 128 ounces
Thus; 4.25 gallons = 4.25 * 128 = 544 ounces
Since a mini bottle of water contains 8 ounces of water, then we can say that;
Number of mini bottles required is;
544/8 = 68 mini bottles
Read more about Units of Measurement at; https://brainly.com/question/777464
#SPJ1
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
2 cm
7/4 cm
1 cm
Numbers of cubes are 224
We have been given that
side length of cubes is = 1 /4 cm
dimension of prism are
2 cm
7/4 cm
1 cm
Each cube with side lengths of 1/4 have a volume of (1/4)3 . To find how many cubes are needed to fill the prism.
Prism: A glass or other transparent object in prism form, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colors.
To compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h
Cube volume = (side)³
than Prism volume =(2×7/4×1)cm
= (3.5)cm
and cube volume = (1/4)³cm
= (1/64)cm
Then the number of cubes that will fit in the prism is ...
(Prism volume)/(cube volume)
(3.5)/(1/64)cm= 224 cubes
To learn more about Volume
visit https://brainly.ph/question/53283
#SPJ9
What is 3458 rounded to the nearest thousand
Answer:
3000
Step-by-step explanation:
If it was 3500 then it would've been 4000. However, since 3458 is below 3500 it's 3000. Hope this helps. Good luck!
Solve 7x2 - 2x = −3
Please
Answer:
I think the answer to this question is the last multiple choice answer
Step-by-step explanation: