Which of the following equations correctly expresses the relation between vectors A⃗ ,
B⃗ , and C⃗ shown in the figure?
A) A⃗ +B⃗ +C⃗ =0
B) A⃗ =B⃗ +C⃗
C) B⃗ =A⃗ +C⃗
D) C⃗ =A⃗ +B⃗
Answers
B) Is not correct
C) is correct. B starts where first starts and ends where last (in this case second) one ends.
D) is not correct
Related Questions
Count the left-handed and right-handed spirals on the cacti in the photograph. You should get two consecutive terms of the Fibonacci sequence. What are the numbers? A. 34 and 55 B. 5 and 8 C. 8 and 13 D. 21 and 34 E. 13 and 21
Answers
The student's question involves counting the number of spirals in a cactus, which corresponds to two consecutive numbers in the Fibonacci sequence. The exact answer would depend on the actual count, which cannot be determined without the photograph.
Explanation:The question asks about the phenomenon related to the Fibonacci sequence observed in natural patterns, specifically in plant architecture such as cacti spirals. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. It is often observable in nature, for example, in the arrangement of leaves or the spirals on sunflower heads and cacti.
In order to answer the question, one would need to physically count the number of left-handed and right-handed spirals on the cactus. The Fibonacci sequence relevant to this context begins with 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on. Since the given answer choices are consecutive terms from this sequence, the correct numbers would be identified based on the actual spiral counts which are expected to be consecutive Fibonacci numbers.
Without the photograph, it is impossible to provide the specific numeric answer, but we can understand that the two numbers representing the left-handed and right-handed spirals on the cactus would be consecutive Fibonacci numbers as indicated by the options provided: A) 34 and 55, B) 5 and 8, C) 8 and 13, D) 21 and 34, e) 13 and 21.
Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast?
Answers
A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
smaller value? and larger value?
Answers
Pears cost $1.25 per pound. What is the cost of 4.5 pounds of pears
Answers
So, 4.5 pound of pear will cost = 1.25 * 4.5 = $5.625
So, your final answer is $5.625
Hope this helps!
write the equation of a line passing through (-2,1) with a slope of 3. explain how you arrived at your answer.
Answers
y-1=3(x-(-2))
y-1=3(x+2)
y=3x+6+1
or y=3x+7
Greg went to the walmart to buy pencils and pens. each pencils costs $2 and each pen costs $3. he bought five items. he spent $12. how many pens and pencils did he buy?
Answers
however...
He bought
3 pencils and 2 pens
12/2=6
$6 on pens and $6 on pencils
6/2=3 pencils
6/3=2 pens
(3×2)+(2×3)=12
How do you sketch this graph? Sketch the graph of y=xlnx
Answers
Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in the deposit? A) 6 five-dollar bills B) 28 five-dollar bills C) 32 five-dollar bills D) 34 five-dollar bills
Answers
You have to use your choices for this.
A: 6
B: 28
C: 32
D:34
Keep those numbers in mind.
She uses a total of 38 Bills.
Lets think of the first letter choice.
Letter Choice A:
If she uses 6 five-dollar bills ($30) she still needs to pay $190 more.
She would need 19 ten-dollar bills to pay this.
But then she would only have used 25 bills in total. It is stated she used 38.
Letter Choice B:
If she uses 28 five-dollar bills ($140) she still needs to pay $80 more.
She would need 8 ten-dollar bills to pay this.
But then she would only have used 36 bills in total. It is stated she used 38.
Letter Choice C:
If she uses 32 five-dollar bills ($160) she still needs to pay $60 more.
She would need 6 ten-dollar bills to pay this.
That would make it so that she used 38 bills, making this our answer.
Jaron paid 2.70 for 6 juice boxes how much should jaron expect to pay for 18 juice boxes
Answers
Answer:
8.10
Step-by-step explanation:
graph this: f(x)= IxI-1 ...?
Answers
The graph resembles a "V" shape with its vertex at the origin.
The function f(x) = |x| - 1 is a piecewise function that represents the absolute value of x minus 1.
The absolute value function |x| returns the distance of x from the origin on the number line.
When x is positive or zero, |x| = x , and when x is negative, |x| = -x.
Thus, f(x) = |x| - 1behaves differently for positive and negative values of x .
For [tex]\( x \geq 0 \)[/tex], the function is f(x) = x - 1, and for x < 0, the function is f(x) = -x - 1.
The graph of f(x) consists of two straight lines intersecting at the point (0, -1), with a slope of 1 for [tex]\( x \geq 0 \)[/tex] and a slope of -1 for x < 0.
The graph resembles a "V" shape with its vertex at the origin.
The daily dose of ampicillin for the treatment of an ear infection is 115mg/kg of body weight. what is the daily dose, in mg, for a 34-lb child? ...?
Answers
34 lg = 34*0,45 = 15,3 kg
1 kg.................115 mg
15,3 kg................x
x = 15,3*115
x = 1759,5 mg
"Which of the following are remote interior angles of 5? Check all that apply.
A.1
B.2
C.3
D.4
E.5
F. 6"
Answers
Answer:
A. 1
B. 2
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find remote interior angles of angle 5 for our given triangle.
We can see that angle 5 is an exterior angle. We know that remote interior angles are those, which are inside the triangle and opposite to exterior angle.
We can see that angle 2 and angle 1 are are opposite angles of angle 5 and they are inside our given triangle.
Therefore, option A and B are correct choices.
Final answer:
Remote interior angles are non-adjacent angles within the same triangle. Relative to angle 5, angle 1 and angle 2 are remote interior angles because they are inside the triangle and do not share a vertex with angle 5.
Explanation:
In this mathematics problem, we are asked to find the remote interior angles of a given angle, which are angles that are inside the triangle and non-adjacent to the exterior angle being considered. For example, if we have a triangle with angles labeled 1, 2, 3, 4, 5, and 6, and we want to find the remote interior angles relative to angle 5, we would look for the angles inside the triangle that do not share a vertex with angle 5.
From the available options:
Angle 1 and angle 2 qualify as remote interior angles relative to angle 5 because they are non-adjacent to angle 5 and are within the same triangle.Angle 3 is adjacent to angle 5, so it is not a remote interior angle.Angles 4, 5, and 6 are not pertinent in this case because the question is specifically about the remote interior angles of angle 5, making angles 4 and 6 external to the triangle, whereas angle 5 is the angle in question itself.Therefore, options A (1) and B (2) are the correct answers to this problem.
Triangles can have some congruent corresponding parts, but not be congruent. true or false.
Answers
A triangle may have 2 of its 3 parts congruent therefore the triangle is not congruent
Answer:
True
Step-by-step explanation:
Two or more figures are congruent if all of their sides and angles are equal.
You can draw two not congruent triangles with equal congruent parts.
For example, you know that the sum of the inside angles of a triangle is 180º.
You could find two triangles with 90º 45º and 45º angles but with different-length sides.
Those would be congruent angles but not congruent triangles.
Store A is advertising a sale that will reduce prices on all merchandise by 15%. Store B is advertising a sale that will reduce prices on all merchandise by one over five. Which store is reducing its prices more, and by how much?
A
Store A is reducing prices by 5% more than Store B.
B
Store B is reducing prices by 10% more than Store A.
C
Store B is reducing prices by 5% more than Store A.
D
Both stores are reducing prices by the same amoun
Answers
Answer:
The correct option is C) Store B is reducing prices by 5% more than Store A.
Step-by-step explanation:
Consider the provided information.
Store B is advertising a sale that will reduce prices on all merchandise by one over five.
Convert one over five in percentage as shown below:
[tex]\frac{1}{5}=\frac{1}{5}\times{\frac{20}{20}}[/tex]
[tex]\frac{1}{5}=\frac{20}{100}[/tex]
[tex]\frac{1}{5}=20\%[/tex]
Thus, the store B reduce the prices by 20%.
Store A reduces the prices on all merchandise by 15%.
From the above calculation, it is clear that store B reduces more prices by 5%.
Therefore, the correct option is C) Store B is reducing prices by 5% more than Store A.
F = 9/5 C + 32 : is the formula used to convert degrees Celsius to degrees Fahrenheit. Convert 35°C to degrees Fahrenheit.
A) 36°F
B) 63°F
C) 67°F
D) 95°F
Answers
Substitute for C = 35
F = 9/5 * 35 + 32
F = 63 + 32
F = 95
So, option D is your answer.
Hope this helps!
Converting 35°C to degrees Fahrenheit is equal to 95°F.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the formula F = (9/5)C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit.
Substituting C = 35°C into the formula:
F = (9/5) × 35 + 32
F = 63 + 32
F = 95°F
Therefore,
35°C is equal to 95°F.
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3x-y=11
2x+5y=-4
systems of linear equations using substitution
find X and Y
Answers
The system of equations is:
3x - y = 11
2x + 5y = -4
_________
Rewrite the first equation:
y = 3x - 11
_________
Substitute y in the second equation and solve x:
2x + 5(3x - 11) = -4
2x + 5 * 3x + 5 * (-11) = -4
2x + 15x - 55 = -4
17x = 55 - 4
17x = 51
x = 51 / 17
x = 3
_______
Substitute x in the equation: y = 3x - 11
y = 3 * 3 -11
y = 9 - 11
y = -2
A linear equation in the form y = mx + b is written in slope-intercept form. What does the 'm' represent?
A. x-intercept
B. y-intercept
C. z-intercept
D. slope
2. A linear equation in the form y = mx + b is written in slope-intercept form. What does the 'b' represent?
A. x-intercept
B. y-intercept
C. z-intercept
D. slope
3. What is slope of equation y = 3x + 5?
A. 3
B. -5
C. 5
D. -3
4. What is y-intercept of equation y = 3x + 5?
A. 3
B. 5
C. -5
D. -3
Answers
I have no idea what to do with this!
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two values.
Answer
The value of g(2) is smaller than the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
The value of g(2) is larger than the value of g(-4).
The value of g(2) is the same as the value of g(-4). ...?
Answers
By substituting the x-values into the linear function g(x) = 4x - 5, we find g(2) = 3 and g(-4) = -21. Therefore, the value of g(2) is larger than the value of g(-4).
Explanation:To determine the values of g(2) and g(-4) for the function g(x) = 4x - 5, we simply substitute the x-values into the function.
For g(2):
g(2) = 4(2) - 5g(2) = 8 - 5g(2) = 3For g(-4):
g(-4) = 4(-4) - 5g(-4) = -16 - 5g(-4) = -21Now, we can compare the two values:
The value of g(2), which is 3, is larger than the value of g(-4), which is -21.
The statement that is true concerning [tex]\( g(2) \)[/tex] and [tex]\( g(-4) \)[/tex] is option a) : The value of [tex]\( g(2) \)[/tex] is larger than the value of [tex]\( g(-4) \)[/tex].
To compare and contrast [tex]\( g(2) \)[/tex] and [tex]\( g(-4) \)[/tex] for the function [tex]\( g(x) = 4x - 5 \)[/tex]:
1. Calculate [tex]\( g(2) \)[/tex] :
[tex]\[ g(2) = 4 \cdot 2 - 5 = 8 - 5 = 3 \][/tex]
2. Calculate [tex]\( g(-4) \)[/tex] :
[tex]\[ g(-4) = 4 \cdot (-4) - 5 = -16 - 5 = -21 \][/tex]
Now, let's analyze the values:
- [tex]\( g(2) = 3 \)[/tex]
- [tex]\( g(-4) = -21 \)[/tex]
Comparing these values:
- [tex]\( g(2) \)[/tex] is positive (3).
- [tex]\( g(-4) \)[/tex] is negative (-21).
Therefore, [tex]\( g(2) \)[/tex] is greater than [tex]\( g(-4) \)[/tex]. This means:
[tex]\[ \text{The value of } g(2) \text{ is larger than the value of } g(-4). \][/tex]
Explanation:
The function [tex]\( g(x) = 4x - 5 \)[/tex] calculates a linear relationship where [tex]\( g(2) \)[/tex] evaluates to 3 and [tex]\( g(-4) \)[/tex] evaluates to -21. This comparison clearly shows that [tex]\( g(2) \)[/tex] yields a larger value than [tex]\( g(-4) \)[/tex]. This result stems from the fact that when x = 2 , [tex]\( g(x) \)[/tex] outputs a positive value, while for x = -4 , [tex]\( g(x) \)[/tex]outputs a larger negative value. Therefore, option:
Complete question : Given the function g(x) = 4x −5, compare and contrast g(2) and g(−4). Choose the statement that is true concerning these two values.
a The value of g(2) is larger than the value of g(−4).
b The value of g(2) is smaller than the value of g(−4).
c The value of g(2) is the same as the value of g(−4).
d The values of g(2) and g(−4) cannot be compared.
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Answers
Final answer:
To find the number of cars George needs to sell in the next month to have a mean of 24, calculate the total number of cars he has sold in the past seven months. Subtract that total from 24 multiplied by 8 (including the past seven months and the next month). Divide the result by 1 to get the number of cars George needs to sell in the next month.
Explanation:
To find the number of cars George needs to sell in the next month to have a mean (average) number of sales per month of 24, we need to calculate the total number of cars he has sold in the past seven months. Then, we can subtract that total from 24 multiplied by 8 (as George wants a mean of 24 sales per month for a total of 8 months, including the past seven months and the next month). Finally, we divide the result by 1 to get the number of cars George needs to sell in the next month.
In this case, the total number of cars George has sold in the past seven months is 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
So, to determine the number of cars George needs to sell in the next month to have a mean of 24, we perform the following calculation:
(24 * 8) - 142 = 192 - 142 = 50.
Therefore, George needs to sell 50 cars in the next month to have a mean number of sales per month of 24.
factor 3x^2-14x+8 ...?
Answers
(3x-2) (x-4)
why -2 and -4 you ask??
check by multiplying
A box contains four 40-W bulbs, five 60-W
bulbs, and six 75-W bulbs. If bulbs are se-
lected one by one in random order, what is
the probability that at least two bulbs must be
selected to obtain one that is rated 75W?
Answers
P(not a 75Wbulb)=(4+5)/(4+5+6)=9/15
P(a 75W bulb)=6/(15-1)=6/14
9/15*6/14=9/35
Answer: 0.99483
Step-by-step explanation:
Given : A box contains four 40-W bulbs, five 60-W bulbs, and six 75-W bulbs.
Total bulbs : 4+5+6=15
The probability of selecting a 75-W bulb :[tex]p=\dfrac{6}{15}=0.4[/tex]
Using the binomial probability :-
[tex]P(X)= ^nC_xp^x(1-p)^{n-x}[/tex], where P(x) is the probability of getting success in x trials , p is the probability of getting success in each trial and n is the total number of trials.
We have,
The probability that at least two bulbs must be selected to obtain one that is rated 75W :-
[tex]P(x\geq2)=1-(P(x<2))\\\\=1-(P(x=0)+P(x=1))\\\\=1-(^{15}C_0(0.4)^0(0.6)^{15}+^{15}C_{1}(0.4)^1(0.6)^{14})\\\\=1-((1)(0.6)^{15}+(15)(0.4)(0.6)^{14})\ \ [\because\ ^nC_0=1\ \&\ ^nC_1=n]\\\\\approx1-(0.00047+0.00470)\\\\=1-0.00517=0.99483[/tex]
Hence, the required probability = 0.99483
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
1] Find a function that models the total area of the four pens. (Let w be the width of the rectangular area and A(w) be the area.)
2]Find the largest possible total area of the four pens. (Round your answer to one decimal place.)
Answers
The function modeling the total area of the four pens is [tex]A(w) = w * ((750 - 3w) / 2)[/tex]. The maximum area can be found by taking the derivative of this function, setting it to zero, and solving for w.
Explanation:The subject in question is Mathematics, specifically calculus and problem-solving involving areas. The rancher with 750 ft of fencing intends to make a rectangular area divided into four pens. Let's define w to be the width and l to be the length of the rectangle.
1] Since the total length of the fence is 750 ft and it will be divided into 3 parts for the width and 2 parts for the length, the function for calculating length will be [tex]l = (750 - 3w) / 2[/tex]. Since the area of a rectangle is given by A=w*l, we can substitute our equation for l into our Area function. Therefore, our function will be [tex]A(w) = w * ((750 - 3w) / 2).[/tex]
2] To find the maximum area of the rectangles, you would need to find the derivative of the Area function and solve for w. After that, plug the value of w into the area function to get maximum area. The exact calculation requires calculus skills and could be taught in a high school Calculus course.
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Your friends borrowed 5 different movies from the library. In how many different orders can they watch the movies?
Answers
Slot A can be filled with 5 choices
Slot B can be filled with 4 choices (once you pick a movie you can't pick it again)
Slot C has 3 choices
Slot D has 2 choices
Slot E has 1 choice
In total, there are 5*4*3*2*1 = 120 different ways to order the movies
If an object is moving at the speed of 36 kilometers per hour, how many meters does it travel in one second?
Answers
a/3600 to get seconds
Answer:
10 meters per second
Step-by-step explanation:
John has six bills of paper money in the following denominations $1, $5, $10, $20, $50, and $100. If he selects 3 bills at a time what is the probability of selecting a group that has an average value of at least $26?
Answers
The required probability is 0.55 while selecting a group that has an average value of at least $26.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
John has six bills of paper money in the following denominations $1, $5, $10, $20, $50, and $100.
The total number of possible combinations = [tex]^6c_3[/tex] = 6!/313! = 20
Combinations for which the average value is at least $26:
(1.5.100), (1,10,100), (1.20,100). (1.50,100), (5,10,100), (5,20,100), (5,50,100), (10,20,100), (10,20,50), (10,50,100), (20,50,100)
Number of favorable combinations = 11
So, required probability = 11/20 = 0.55
Thus, the required probability is 0.55 while selecting a group that has an average value of at least $26.
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Dividing polynomials...
(16x^2-25y^2)divided by (4x+5y)...Please explain your answer... ...?
Answers
We find the number that we can multiply (4x + 5y) by to obtain the given polynomial. This is (4x - 5y).
Moreover, this is visible from the fact that
(16x² - 25y²) satisfies the identity:
(a² - b²) = (a + b)(a - b); where a = 4x and b = 5y
What is the perimeter of a triangle with vertices located at (1,4), (2,7), (0,5)
Answers
Amy wants to run the 26 miles of the marathon in 4.5 hours. at what rate will she have to run to reach thisbgoal??
Answers
____________________________
5.778 mi/ h;
→ or; write as: 5 ⁷/₉ mph {"miles per hour"}.
______________________________________
Explanation:
_____________________________________
We shall solve in miles ("mi.") per hour ("h"); denoted as "mi / h" ; or sometimes, "mph".
______________________________________
Given 26 mi / 4.5 h ; we want to solve for the number of miles (mi) per unit hour (h),
________________________________
The answer is (26/ 4.5) mi / h l
______________________________
26 ÷ 4.5 = 5.7777777777777778→ Round to: 5.778 mi/ h;
→ or; write as: 5 ⁷/₉ mi /h
_____________________________________________________
What is the first four terms of the sequence n squared + 5
Answers
The first four terms of the sequence defined by n squared plus 5 are 6, 9, 14, and 21.
The first four terms of the sequence defined by the expression n squared plus 5, which can be represented mathematically as n^2 + 5.
To find the terms, we simply substitute the first four positive integers (1, 2, 3, 4) for n and calculate:
For n = 1: 1^2 + 5 = 1 + 5 = 6
For n = 2: 2^2 + 5 = 4 + 5 = 9
For n = 3: 3^2 + 5 = 9 + 5 = 14
For n = 4: 4^2 + 5 = 16 + 5 = 21
Taylor writes an expression with 5 terms. all 5 terms are like terms. how many terms are in the equivalent expression with the least number of terms?
Answers
Answer:
Step-by-step explanation: Taking into account that they are all like terms they can be combined, therefore there would only be one term. For example:
5x-3x+6x-x+2x=
Combine the like terms
2x+6x-x+2x=
It can be simplified further
8x-x+2x=
7x+2x=
9x