Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Vector d can be represented as :
[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]
Vector c can be represented as :
[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]
we have to create vector d from vector c
So, let's assume a vector x, such that sum of vector x and vector c equals to vector d
[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]
[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]
[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]
Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Related Questions
Colin walked a distance of 15m in 6 hours. Work out Collin's average speed. Give your answer in miles per hour
Answers
2.5 miles/hour
Simply 15/6
Answer:
Colin walks an average speed of 2.5 miles per hour.
Step-by-step explanation:
15/6= 5 miles/2 hours
2.5
20. a) After allowing 20% discount on the Marked Price and levying 15% VAT, an article was sold. If the discount amount is Rs.800, find the selling price of the article including VAT.
Answers
The selling price of the article including VAT will be 1000.
What is the selling price?The cost at which an article is sold is known as the selling price.
Let the market price will be x
Given data;
Discount=20 %
The amount of the discount is;
[tex]\rm Discount = x- x \times \frac{20}{100} =\frac{80x}{100}[/tex]
Applied tax is;
[tex]\rm \frac{80x}{100} +\frac{80x}{100} \times \frac{15}{100} =904 \\\\ \frac{8000x+1040 x}{10000} =904 \\\\ 9040 x = 904 \times 10000 \\\\\ x=\frac{904 \times 10000}{9040} \\\\ x=1000[/tex]
Hence, the selling price of the article including VAT will be 1000.
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Shape a is enlarged to give shape b a) what is the scale factor of the enlargement? b) mark with a cross the centre of enlargement
Answers
The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Shape A is enlarged to give shape B.
Then the scale factor of the enlargement will be
⇒ 3 / 1
Then the center of enlargement is marked in the diagram.
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Select the correct answer. Consider the following system of equations.
Answers
Solve for x coordinate of solution
It's after -3 and before -4Check given value in options and approximate them
5/2=2.5 13/4=3.3So x coordinate is -13/4
Option C is correct as no one contains -13/4 except C
Answer:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
Step-by-step explanation:
The solution to a system of graphed equations is the point of intersection.
From inspection of the graph:
the x-coordinate of the point of intersection is -4 < x < -3the y-coordinate of the point of intersection is 2 < y < 3As the x-coordinate is negative, this eliminates answer options A and B.
Assessing the x-coordinate of answer options C and D:
⇒ C. -13/4 = -3.25
⇒ D. -5/2 = -2.5
Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:
[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]
120 is the product of 8 and Julie's score.
Answers
Answer:
Julie's score is 15.
Step-by-step explanation:
This can be solved in two ways:
⇒ 120 ÷ 8
⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).
Let's use the first method.
⇒ 120 ÷ 8
1 5
__________
8 | 1 2 0
- 8
____
4 0
- 4 0
____
0
Therefore, Julie's score is 15.
Please Help Me Answer These
Answers
Answer:
Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .
= -11/4 × 16/5
= -176/20
= -44/5
= -8 4/5
Question 1 answer : -8 4/5Question 2: -4.6/-2
= -4.6/-2
= 2.3
Question 2 answer : 2.3Question 3: - 7/8 ÷ (-2)(-4)
= 7/6(-4)
= -7/4
Question 3 answer : -7/4Question 4 : -4 27/30
= -147/30
= -4.9
Question 4 answer : cQuestion 5 : -3 13/20
Question 5 answer : -3.65Therefore The answer are -8 1/4 , 2.3 , -7/4 , c , -3.65the equation is 6a³+3b² when a=4 and b=1
Answers
Answer:
387
Step-by-step explanation:
6(4)³ + 3(1)²
6(64) + 3(1)
384 + 3
= 387
Step-by-Step Solution:
=> 6a^3 + 3b^2 ; when a = 4 and b = 1
Plug in the Values :-
= 6a^3 + 3b^2
= 6(4^3) + 3(1^2)
= 6(64) + 3(1)
= 384 + 3
=> 387
Which of the following statements are true about the graph of f(x) = 6(x + 1)²-9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
The graph is narrower than the graph of f(x) = x².
The graph is the same as the graph of f(x) = 6x² + 12x-3.
RETRY
Answers
simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²
Answers
Answer:
x-2y/x
Step-by-step explanation:
x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x
Please help answer this question asap 3/11
Answers
The matrix elements are nothing more than the matrix entries. The correct option is B.
What is an element in a matrix?The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.
The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.
Hence, the correct option is B.
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4 questions! Write an equation in slope-intercept form for each of the following:
1) Slope -4 ; y-intercept 6
2) Slope 3 ; passes through (2,5)
3) (1,-1) , (-2,0)
4) (0,0) (4 - 3 1/2)
These are practice questions! ASAP!
Answers
2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1
3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3
4) DO THE SAME STEP AS NUMBER 3 and enjoy!
5 14/15 number line rounded to the whole or half
Answers
Answer:
It's rounded to the whole, which is 6.
Step-by-step explanation:
On a separate piece of graph paper, graph y = Ixl - 1; then click on the graph until the correct one appears.
Answers
The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.
How to graph the function?Here we want to graph:
y = |x| - 1
Notice that if we take the parent absolute value function:
y = |x|
And we translate it one unit downwards, we will get:
y = |x| - 1
Which is the function that we want to graph.
So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.
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there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value
Answers
P(dime followed by quarter) = 2/5 x 2/4 = 4/20 = 1/5
P(nickel followed by quarter or dime) = 1/5 x 4/4 = 1/5
P(second coin has higher value) = 1/5 + 1/5 = 2/5
PLEASE HELP ME ASAP!
Answers
Answer:
44.7 units of time
Step-by-step explanation:
Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)Each child ticket for a ride costs $3, while each adult ticket costs $5. if the ride collected a total of $115, and 33 tickets were sold, how many of each type of ticket were sold
Answers
Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3 and earns a total of 55$. If the bracelets are represented by x and the necklaces are represented by y which of the following systems of equations can be used to calculate the number of bracelets ms necklaces sold?
Answers
Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23
Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55
OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6
Answers
Answer:
5
Step-by-step explanation:
5
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answers
The correct option is Option A: x > 38° this statement about x value is true.
Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.
Given the angle ∠NPO= 38°
∠PON= 39°
As we know the exterior angle is the sum of the two farthest interior angles of the triangle.
Then we can write the angle ∠PNM as
So, ∠PNM = ∠NPO + ∠PON
⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}
{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}
As x=77°
which satisfies the relation x=77° >38°.
Therefore,The correct option is Option A: x > 38° this statement about x value is true.
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Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT
Answers
The following are the appropriate notations is P(EIF)=P(E n F) / P(F).
What is Conditional Probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
As, from the property of conditional probability
P(EIF)=P(E n F) / P(F)
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If all angles on two triangles are congruent then can we prove their congruency through ASA? If so what’s the proofs I use
Answers
ASA (Angle-Side-Angle) Congruency Criterion requires 2 Angles and one included Side to be Equal. If we have 3 angles equal we cannot prove 2 Triangles Congruent by ASA. However, we can prove that they are Similar using AAA (Angle-Angle-Angle) Similarity Criterion.
A response variable, Price, is defined as the selling price of a used car. Three predictor variables include, Age, the age of the car in years, Mileage, the mileage of the car in thousands of miles, and Cylinders, the number of engine cylinders. The estimated regression equation is: Price
Answers
The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders
How to determine the regression equation?We have:
Predictor variables = 3Variable 1 = AgeVariable 2 = MileageVariable 3 = CylindersThe regression equation is estimated using:
Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3
Substitute the variable parameters
Price = bo +b1Age+ b2Mileage + b3Cylinders
Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders
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8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Answers
Answer:
29
Step-by-step explanation:
87×156+29=13601
First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601
Answer:
29Step-by-step explanation:
What least number must be subtracted from 13601 to get a number exactly divisible by 87?
13601 : 87 = 156 and remainder 29
so your answer is 29
---------------
check
(13601 - 29) : 87 =
13572 : 87 = 156
what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1
Answers
Answer:
2
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.
When a range of values is used to estimate a population parameter, it is called a. A point estiamte b. A range estimate c. A statistical parameter d. An interval estimate.
Answers
[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]
i need these missing blanks please..
Answers
42, 42x and -35x^2
What is the solution for the equation 36³-26²-5 6³-2
36²-26²-5-6²²-2²
Answers
Answer:
b = 0 and b = 4
Step-by-step explanation:
[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )
2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides
6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )
b³ - 4b² - 10 = - 10 ( add 10 to both sides )
b³ - 4b² = 0 ← factor out b² from each term on the left side
b²(b - 4) = 0
equate each factor to zero and solve for b
b² = 0 ⇒ b = 0
b - 4 = 0 ⇒ b = 4
A fair die is rolled 4 times in succession. What is the probability that the number on each roll is strictly less than the number on the previous roll
Answers
The probability that the number on each roll is strictly less than the number on the previous roll is 7/72
The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!
Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.
The number of such selections will be equal to the number of solutions to the following equation:
x1 + x2 + x3 + x4 + x5 + x6 = 4
where:
x1: number 1 in selections
x2: number of 2s in selection
.
.
x6: number of 6s in selection
The number of unique solutions of such an equation = 9, choose 5 = 126
Number of possible outcomes = 6^4 = 1296
Probability of favorable results = 126/1296=7/72
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A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm. What is the partial pressure of the Ne in the mixture?
Answers
The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.
What is Dalton's law?Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.
We have:
A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.
According to Dalton's law
Total pressure = partial pressure of He + Partial pressure of Ne
0.56 = 0.27 + P(Ne)
P(Ne) = 0.29 atm
Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.
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what is the solution to the system of equations below?
3x+y+2z=8
8y+6z=36
12y+2z=12
A. x=2, y=1, z=6
B. x=3, y=0, z=4
C. x=2, y=0, z=6
D. x=3, y=1, z=4
Answers
The solution to the system of equation are x=2, y=0, z=6
System of equationsSystem of equations are equations that contains unknown variables.
Given the equations
3x+y+2z=8
8y+6z=36
12y+2z=12
From equation 2 and 3
8y+6z=36 * 1
12y+2z=12 * 3
______________
8y+6z=36
36y+6z= 36
Subtract
8y - 36y = 36 - 36
-28y =0
y = 0
Substitute y = 0 into equation 2
8(0)+6z=36
6z = 36
z = 6
From equation 1
3x+y+2z =8
3x + 0 + 2(6) = 8
3x = 8 - 12
3x = 6
x = 2
Hence the solution to the system of equation are x=2, y=0, z=6
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