The vector V in linear form will be v = –11i + 6j i.e. A.
What exactly is a vector?In mathematics, a vector is a mathematical object that has both magnitude and direction. It is typically represented as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Now,
Vector RS can be represented as the difference between the coordinates of R and S:
RS = S - R
RS = (-36, 11) - (-25, 5)
RS = (-36 + 25, 11 - 5)
RS = (-11, 6)
To represent RS in linear form, we can use the components of the vector as coefficients of the basis vectors i and j:
RS = -11i + 6j
Therefore,
the correct option is v = -11i + 6j.
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Answer:
A is right
Step-by-step explanation:
Based on the line of best fit, how many hot cocoas would you predict josue to sell if the day’s high temperature were 54
We should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Based on the line of best fit shown in the scatterplot, we can see that there is a positive linear relationship between the high temperature and the number of hot cocoas sold.
The equation of the line of best fit appears to be y = 23.25x - 705.5, where y represents the number of hot cocoas sold and x represents the high temperature.
To make a prediction for a high temperature of 54, we substitute x = 54 into the equation and solve for y:
y = 23.25x - 705.5
y = 23.25(54) - 705.5
y = 694.5 - 705.5
y = -11
According to this prediction, if the high temperature is 54, Josue would sell approximately -11 hot cocoas. However, this result doesn't make sense, as we can't sell a negative number of hot cocoas.
It's possible that the line of best fit is not an accurate model for the data at very high or very low temperatures, or that there are other factors besides temperature that affect hot cocoa sales.
Therefore, we should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.
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(a) determine The area under the standard normal curve that lies between Z= -1.83 and Z= 0 is
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
what is area ?Area is the overall space occupied by a three-dimensional object's surface. Square units like square meters or square feet are used to quantify it. By adding up the areas of all an item's faces or surfaces, the surface area of the object can be calculated. For instance, since a cube has six faces, the surface area of a cube can be determined by finding the area of one face and multiplying it by six. Similar to this, one can determine the surface area of a sphere by calculating the area of its surface using the formula 4r2, where r is the sphere's radius.
given
To determine the region under the standard normal curve between Z=-1.83 and Z=0, we can use a standard normal chart or a calculator.
Using a normalised standard table:
Z=-1.83 corresponds to a region of 0.0336. (from the table).
The region is 0.5 to the west of Z= 0. (from the table).
Therefore, 0.5 - 0.0336 = 0.4664 is the region between Z= -1.83 and Z= 0.
Calculator usage
Calculator's normalcdf algorithm can be used to determine the region between Z=-1.83 and Z=0. We calculate normalcdf(-1.83, 0) = 0.4664 using the tool.
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
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In this isosceles triangle,all the angles are equal what measure of angle x
120
360
We need more information to solve this problem
90
Answer:
D or B
Step-by-step explanation:
from my perspective, that doesn't look like a or b, and it looks like it's 90 degrees. But it could also be "We need more information to solve this problem, due to it all being x. i hope I'm correct, sorry if I'm not, and Goodluck!!!!!
please help:)))))))))))))))))))))))))))))
Answer:
The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.
The mango mania drinks company has a new design for the juice boxes. Each box will have a square base of an area of 22 cm². The height will be 12 cm. What is the volume of one of these new juice boxes.
By answering the supplied question, we may infer that the response is square Because 1 cm³ = 1 mL, one of the new juice cartons has a capacity of 264 cubic centimeters or 264 milliliters.
What is a square?
According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is sometimes referred to as a rectangle with two adjacent sides of the same length.
A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are those that are 90 degrees or straight.
The diagonals of the square are also equally spaced and divided at a right angle. a nearby rectangle with two sides of identical length.
a quadrilateral with four equal-length sides and four right angles. two neighboring, equal sides that create a right angle in a parallelogram. an equilateral rhombus.
By dividing the base area by the height, one may get the volume of a square-based box. Thus, we can use the following formula to determine the juice box's volume:
Volume equals base area times height.
We may enter the numbers 22 cm² for the base area and 12 cm for the height into the formula to obtain the following results:
Volume equals 22 x 12 cm²
These values are multiplied together to produce:
Size = 264 cm³
Hence, Because 1 cm³ = 1 mL, one of the new juice cartons has a capacity of 264 cubic centimeters or 264 milliliters.
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HEEEEEEEELP PLS!!!
The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 45 with tick marks every 2 units. The box extends from 17.5 to 40.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 42. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the lower quartile of the data?
42
40.5
17.5
10
The value representing the lower quartile of the data is given as follows:
17.5.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.For the plot described in this problem, the features are given as follows:
Minimum value of 10.Lower quartile of 17.5.Median of 30.Upper quartile of 40.5.Maximum value of 42.More can be learned about box and whisker plots at brainly.com/question/30464750
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2(4+62)-20divided by 4
Answer:
the answer is 28
4+62 = 66
66x2 = 132
132-20 = 112
112 divided by 4 = 28
hope this helps <3
Answer:
28
Step-by-step explanation:
i hope this helps
Given that 224 hours of work need to be done to complete a project. (1) How long will it take 4 men, each working an 8-hour day to complete the project? (II) If each of them is paid 57-50 per hour, how much will it cost to employ them altogether? (iii) How many hours of overtime must they put in per day if the project is to be completed in 4 days? (iv) Given that the overtime rate of payment is l times as much as the regular hourly rate, find the cost of the project now.
If 4 men, each working an 8-hour day, have to complete 224 hours of work, then the number of days required to complete the work is:
Total number of hours of work / Number of hours of work done by 4 men in a day
= 224 / (4 x 8)
= 7
So, it will take 4 men, each working an 8-hour day, 7 days to complete the project.
II. Each of the 4 men will work for 7 days, and each man works 8 hours a day. So, the total number of hours worked by all the men is:
Total number of men x Total number of days x Number of hours worked by each man per day
= 4 x 7 x 8
= 224 hours
Therefore, the total cost of employing all 4 men is:
Total number of hours x Rate per hour
= 224 x $57.50
= $12,880
III. If the 4 men have to complete the project in 4 days, then the number of hours of work they have to do each day is:
Total number of hours of work / Total number of days to complete the project
= 224 / 4
= 56 hours
Each man works 8 hours a day, so the total number of hours of overtime they have to put in per day is:
Number of hours of work per day - Number of hours worked by each man per day
= 56 - 8
= 48 hours
Therefore, each man must put in 6 hours of overtime per day to complete the project in 4 days.
IV. If the overtime rate of payment is l times as much as the regular hourly rate, then the overtime rate of payment is:
l x $57.50
= $57.50l
Let the overtime rate of payment be $r per hour. Then:
r = $57.50l
The cost of the project is the sum of the cost of regular hours and the cost of overtime hours. The cost of regular hours is:
Number of regular hours x Regular hourly rate
= 4 x 8 x 7 x $57.50
= $16,240
The cost of overtime hours is:
Number of overtime hours x Overtime hourly rate
= 4 x 6 x 7 x $57.50l
= $12,180l
So, the total cost of the project is:
Total cost = Cost of regular hours + Cost of overtime hours
= $16,240 + $12,180l
Answer:
Step-by-step explanation:
(i) To complete the project, 4 men will need to work a total of 224 hours. Each man works for 8 hours per day. Therefore, the number of days it will take to complete the project is:
Number of days = 224 total hours / (4 men x 8 hours/day) = 7 days
So it will take 4 men, each working 8 hours per day, 7 days to complete the project.
(ii) Each man is paid $57.50 per hour, and they will work for a total of 7 x 8 = 56 hours altogether. Therefore, the total cost of employing them all is:
Total cost = 4 men x $57.50/hour x 56 hours = $12,320
(iii) If the project is to be completed in 4 days, each man will need to work for a total of:
224 total hours / (4 men x 4 days) = 14 hours per day
Since each man already works for 8 hours per day, they will need to put in an additional 6 hours of overtime per day to complete the project in 4 days.
(iv) The regular hourly rate is $57.50 per hour, and the overtime rate is 1.5 times the regular hourly rate (150% of the regular hourly rate). Therefore, the overtime rate is:
Overtime rate = $57.50 x 1.5 = $86.25/hour
To find the total cost of the project, we need to add the cost of the regular hours and the cost of the overtime hours. The cost of the regular hours is:
Regular hours cost = 224 regular hours x $57.50/hour = $12,880
The cost of the overtime hours is:
Overtime cost = (4 men x 6 overtime hours/man/day x 4 days) x $86.25/hour
= 96 x $86.25
Therefore, the total cost of the project is:
Total cost = Regular hours cost + Overtime cost
= $12,880 + $8,280
= $21,160
where the overtime rate is 1.5 times the regular hourly rate.
Please help with this thank you
The slope of the linear function is given as follows:
3/2.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.
The slope represents the rate of change of a linear function, meaning that it is calculated as the change in y divided by the change in x.
Considering points (-4,-4) and (-2, -1), we have that when x increases by 2, y increases by 3, hence the slope is given as follows:
m = 3/2.
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A principal is ordering pizzas for a school pizza party. He knows that 9 pizzas will feed 25 students. If there are 300 students in the school, how many pizzas will he need to order?
SHOW THE WORK AND HOW YOU GOT THIS ANSWER!!!!
The principal will need to order 108 pizzas to feed 300 students.
We may set up a proportion to determine how many pizzas are required to feed 300 students if 9 pizzas feed 25 students:
25 pupils × 9 pizzas = x pizzas / 300 students
where x is how many pizzas are required to feed 300 kids.
We can cross-multiply and simplify to find x's value:
300 kids times 9 pizzas equals 25 students (x pizzas)
2700 = 25x
x = 2700 / 25
x = 108
In order to serve 300 pupils, the principal will have to order 108 pizzas.
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P(z > c) = 0.8914
Find C
The value of c is given as follows:
c = -1.235.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.For this problem, we have that P(z > c) = 0.8914, meaning that Z when X = c has a p-value of 1 - 0.8914 = 0.1086, hence the value of c is given as follows:
c = -1.235.
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What is the area of 2 ft 2 ft and 6ft?
The Area would be 4ft because 2x2=4 its basic multiplication,
And I don't really understand why you also put 6ft but if you're saying 2ft x 6ft then that would be 12ft.
Hope that helps <3
Consider the following figure.
(Note that the figure is not drawn to scale.)
74°
55°
63°
59°
Order the side lengths HI, IK, HJ, IJ, and KJ from least to greatest.
O
X
5
The side lengths from least to greatest are HJ, HI, IJ, JK and IK
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Angle H is 67 degrees
∠HIJ is 51 degrees
∠HJI is 61 degrees
Angle K is 63 degrees
∠KJI is 70 degrees
∠KIJ is 57 degrees
From least to greatest
HJ<HI<IJ<JK<IK
Hence, the side lengths from least to greatest is HJ, HI, IJ, JK and IK
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number that adds up to 27 and 6
Answer: 9 and 3
Step-by-step explanation: Depends the signs +/- and the problem.
QUESTION 1
Consider the following argument: Either there is a massive, multi-million dollar conspiracy at work, or else the electorate
have decided that Senator Wiggins is the best candidate for the position. The electorate have decided that Senator
Wiggins is the best candidate for the position. So, there is not a massive, multi-million dollar conspiracy at work. What is
the logical form of this argument?
O a. Modus Tollens
b. Disjunctive Syllogism
O c. Affirming the consequent
O d. Affirming a disjunct
Oe. Modus Ponens
Since the electorate have decided that Senator Wiggins is the best candidate for the position. The logical form of this argument is option b. Disjunctive Syllogism
What is Disjunctive Syllogism?The argument is presented in the form of a disjunctive syllogism, which involves a logical form that states that either one of two alternatives must be true, and one of them has been found to be true; therefore, the other must be false.
In this case, the two alternatives are:
There is a massive, multi-million dollar conspiracy at work.The electorate have decided that Senator Wiggins is the best candidate for the position.The argument concludes that the second alternative is true, which means that the first alternative must be false. Therefore, the argument logically deduces that there is not a massive, multi-million dollar conspiracy at work.Thus, the logical form of the argument is:
Either A or B.
Not A.
Therefore, B.
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Select the equation that is true. A. 2 2 3 × 4 = 8 2 3 B. 2 2 3 × 5 8 = 1 2 3 C. 2 2 3 × 2 3 = 2 4 9 D. 2 2 3 × 4 3 5 = 8 6 15 its fractions im lazy thats all
The equation 2 2/3 × 2/3 = 2 4/9 is true.
What are fractions?A fraction represents a part of a whole or a ratio between two quantities. It is written as a/b, where "a" is the numerator and "b" is the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole or the ratio.
The equation that is true is:
C. 2 2/3 × 2/3 = 2 4/9
To solve the problem, we can convert the mixed numbers to improper fractions, and then multiply:
2 2/3 = 8/3
2/3 = 2/3
8/3 × 2/3 = 16/9
We can then convert the improper fraction back to a mixed number:
16/9 = 1 7/9
Therefore, the equation 2 2/3 × 2/3 = 2 4/9 is true.
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) Kamal's Burgers cooks its burgers either well done or medium. The restaurant served
100 burgers last night, 15% of which were well done. How many well-done burgers did the
restaurant serve?
Answer: 15
Step-by-step explanation: to find a percent of a number you use the formula : ( % x N )/100 where N is the number you are trying to find the percent of. So here 15x100= 1500 and this divided by 100 is 15
Answer:
15
Step-by-step explanation:
of means "x"
15% of which were well done
who is the which they refer here?
15% of 100 burgers were well done
15% x 100 burgers
15/100 x 100 burgers = ans
NONE OF THE APPS WORK BRO
Answer:
1 term (monomial).
Step-by-step explanation:
A term includes at least either a number, a variable, or both together, and can have more than one.
In this case, there is 1 term, which denotes that a variable, has an exponent of 9.
[tex]b^9[/tex] is one term.
Examples of more than 1 term can include:
[tex]b^9 + 1[/tex] , which is two terms (Binomial).
[tex]a^2 + b + 3[/tex] is three terms (Trinomial).
* One thing to note is to always simplify when possible.
~
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Write the ratio as a fraction in lowest terms. 44 minutes to 5 hours
Answer:Let's convert hours to minutes:
Now we have:
44 minutes to 300 minutes
We write the ratio as a fraction:
We can reduce both the numerator and denominator by 4, to get:
The correct answer is:
Step-by-step explanation:
Calculate the cash discount and the net amount due the transaction (in $).
The cash discount is $353.20 and the net amount due is $17,306.80.
What are the purchase terms?Conditions of sale are the rules that govern a business transaction, including the cost, the method of payment, the delivery, and any other pertinent information. Normally, they are specified in a sales contract or invoice and acknowledged in advance of the transaction. The conditions of sale might alter based on the type of products or services being exchanged, the volume and complexity of the deal, and other elements.
We know that,
Cash discount = amount x discount rate
Net amount due = amount - cash discount
For 2/10:
Cash discount = $17,660 x 2% = $353.20
Net amount due = $17,660 - $353.20 = $17,306.80
Hence, the cash discount is $353.20 and the net amount due is $17,306.80.
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Mabel's salary is 1/3 higher than Lens. Lens salary is 1/4 higher than the hiring rate. how will you represent Mabel's salary (in terms of the original hiring rate h) if the hiring rate will be increased by 40%
Answer:
points cuzo
but if i find it out i will edit
Step-by-step explanation:
List the factors of the following numbers. 14, 22, 30, 25,
Step-by-step explanation:
factors of 14: 1, 14, 2, 7
factors of 22: 1, 22, 2, 11
factors of 30: 1, 30, 2, 15, 3, 10, 5, 6
factors of 25: 1, 25, 5, 5
Answer:
Factors 14 : 1, 14, 2, 7
Factors 22 : 1, 22, 2, 11
Factors 30 : 1, 30, 2, 15, 3, 10, 5, 6
Factors 25 : 1, 25, 5
how do I use order of operations
Answer:
pemdas
Step-by-step explanation:
pemdas means Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction
you always want to go left to right
when using pemdas.
example 4^5 • (9-8)
you start from left to right
we would work in parentheses because that is what pemdas said to do.
Calculate the value of the expression 4+2(5+(-3))=
Answer:
8
Step-by-step explanation:
4 + 2 (5 - 3) = 8
hope this helps :))
Find domain, range, vertical asymptotic, horizontal asymptote, x-intercept, y-intercept of f(x)= -1/x-5+3
Pic attached below
The features of the rational function are listed below:
Domain: All real numbers except x = 5.
Range: All real numbers except f(x) = 3.
Vertical asymptote: x = 5
Horizontal asymptote: f(x) = 3
x-Intercept: x = 16 / 3
y-Intercept: f(0) = 16 / 5
How to determine the features of a rational function
In this problem we find the definition of a rational function:
f(x) = - 1 / (x - 5) + 3
Whose features introduced below must be derived:
DomainRangeVertical asymptoteHorizontal asymptotex-Intercepty-InterceptDomain
Domain of rational functions are all real numbers expect when x - 5 = 0.
Dom {f(x)} = R - {5}
Range
Range of rational functions are all real numbers except horizontal asymptote.
Ran {f(x)} = R - {3}
Vertical asymptote
x = 5
Horizontal asymptote
f(x) = 3
x-Intercept
- 1 / (x - 5) + 3 = 0
1 / (x - 5) = 3
1 = 3 · (x - 5)
1 = 3 · x - 15
3 · x = 16
x = 16 / 3
y-Intercept
f(0) = - 1 / (0 - 5) + 3
f(0) = 1 / 5 + 3
f(0) = 16 / 5
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Sadie is planning to go paddleboarding this weekend, but wants to know the water temperature at the lake so she can wear the correct gear. The lake temperature is reported to be 10.5 °C today. After a few sunny days, it should be 1.5 °C warmer this weekend.
what will the water temperature be this weekend in F°?
Answer:
To convert from Celsius to Fahrenheit, we can use the formula F = (C × 1.8) + 32.
First, we need to convert 10.5 °C to Fahrenheit:
F = (10.5 × 1.8) + 32
F = 18.9 + 32
F = 50.9 °F
Then, we can add the 1.5 °C increase in temperature:
New C temperature = 10.5 + 1.5 = 12 °C
And convert that to Fahrenheit using the same formula:
F = (12 × 1.8) + 32
F = 21.6 + 32
F = 54.6 °F
Therefore, the water temperature this weekend in F° will be approximately 54.6 °F.
the triangle below is isosceles.find the length of side X in simplest radical form with a rational denominator.
the answer is r6 because of the end result
-31.5 + 15x - 1.5x^2
The value of x for the given expression is x = 7 and x = 3.
What is a quadratic expression?A mathematical expression with the form ax² + bx + c, where a, b, and c are constants and x is a variable, is known as a quadratic expression. The graph of a quadratic expression can be represented by a U-shaped parabola. The y-intercept of the parabola is determined by the constant term c, whereas the coefficient a decides whether the parabola opens up or down.
The given expression is:
1.5x² - 15x + 31.5x = 0
The quadratic formula is given as:
x = -b ± √b² - 4ac / 2a
x = 15 ± √(15)² - 4(1.5)(31.5) / 2(1.5)
x = 15 ± 6 / 3
x = 15 + 6 / 3 and x = 15 - 6/3
x = 7 and x = 3
Hence, the value of x for the given expression is x = 7 and x = 3.
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in quadrilateral QRST, QS is congruent to RT. is QRST a rectanglr
Answer:
Step-by-step explanation:
14.7 N
This scale drawing shows a enlargement in a figure.
What is the value of the missing side, x?
x= 10
x=18
x = 24
x=30
Answer:x=18
Step-by-step explanation:
12/x=16/24
12/x=2/3
x=12*2/3
x=18
