Vectors a,b,c,d and e are drawn on a isometric grid . write each of the vectors c,d and e in terms of a and / or b . give each awnser in its simplist form

Answers

Answer 1

Answer:

\(c= 3a\)

\(d= b+a\)

\(e= a-b\)

Step-by-step explanation:

Given

See attachment

Required

Find c, d and e in terms of a and/or b

To answer this question, we consider the magnitude (size) and direction (positive or negative) of each vector

Up and Right direction are treated as positive

Down and Left direction are treated as negative

Solving (a): Vector c

Vector c and vector a, point towards the same direction

And the magnitude of c is such that, it can take 3 of a.

So:

\(c = a + a + a\)

\(c =3a\)

Solving (b): Vector d

This is best answered using an attachment (see attachment 2 for new positions of vector a and b)

From the new positions of a and b, we can see that:

(a): Vector b starts from the tip of d

(a): Vector a starts from the end of vector b

a, b and d all point toward the same direction (right or up)

Hence:

\(d = b + a\)

Solving (c): Vector e

This is best answered using an attachment (see attachment 2 for new positions of vector a and b)

From the new positions of a and b, we can see that:

(a): Vector a starts from the tip of e

(a): Vector b starts from the end of vector a

However, b points to the opposite direction of e

Hence:

\(e = a - b\)

Vectors A,b,c,d And E Are Drawn On A Isometric Grid . Write Each Of The Vectors C,d And E In Terms Of
Vectors A,b,c,d And E Are Drawn On A Isometric Grid . Write Each Of The Vectors C,d And E In Terms Of
Answer 2

Answer:

C = 3A

D = A + B

E = A - B

Step-by-step explanation:


Related Questions

Katie made a deposit of $125.00 for a summer softball camp she still has $250.00 to pay how much was the total fee for Katie softball camp

Answers

The total fee for Katie softball camp is, $375.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Katie made a deposit of $125.00 for a summer softball camp she still has $250.00 to pay.

Hence, The total fee for Katie softball camp is,

⇒ $125 + $250

⇒ $375

Thus, The total fee for Katie softball camp is, $375

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An experiment involves selecting a random sample of 256 middle managers at random for a study. One item of interest is the mean annual income. The sample mean is computed to be $35,420 and the sample standard deviation is $2,050. What is the point estimate

Answers

The point estimate for the mean annual income of all middle managers based on the given sample data is $35,420.

The point estimate in this experiment refers to the estimate of the population mean based on the sample data.

In this case, the point estimate for the mean annual income of all middle managers is $35,420.

To calculate the point estimate, the sample mean is used as a representative value for the population mean.

Since the sample is randomly selected, it is assumed to be a fair representation of the entire population of middle managers.

In this experiment, the sample mean is given as $35,420.

This means that, on average, the middle managers in the sample earn $35,420 per year.

However, it's important to note that this is just an estimate based on the sample data and may not be exactly equal to the true population mean.

The sample standard deviation is also provided as $2,050.

This measures the variability or dispersion of the incomes within the sample.

It indicates how much the individual incomes deviate from the sample mean.

It's important to remember that the point estimate is subject to sampling variability.

If a different random sample of 256 middle managers were selected, the point estimate may be slightly different.

To obtain a more precise estimate, confidence intervals and hypothesis tests can be performed using statistical methods.

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A regular hexagonal prism has an edge length 11 cm, and height 8 cm. Identify the volume of the prism to the nearest tenth.

Answers

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

(x2-1)dy/dx+2y=(x+1)4 (integrating factor)

Answers

The integrating factor for the given differential equation is |x^2 - 1|.

To find the integrating factor for the given differential equation, we start by rearranging the equation in the form:

dy/dx + (2y)/(x^2 - 1) = (4(x + 1))/(x^2 - 1)

The integrating factor (IF) is given by the exponential of the integral of the coefficient of y, which in this case is (2/(x^2 - 1)). Therefore, the integrating factor IF is:

IF = exp ∫ (2/(x^2 - 1)) dx

To evaluate this integral, we can use a substitution. Let u = x^2 - 1, then du = 2x dx. Substituting this back into the integral, we get:

IF = exp ∫ (1/u) du = exp(ln|u|) = |u|

Since u = x^2 - 1, we have:

IF = |x^2 - 1|

Therefore, the integrating factor for the given differential equation is |x^2 - 1|.

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-4x+-3=-2x+-2
what is X?

Answers

x= -1/2 !!!!!!!!!!!!!!!!!
X=-1/3!!!!!!!!!
!!!!!

Phone numbers consist of a three-digit area code followed by seven digits. If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible?

Answers

Answer:

1.28 * 10^10

Step-by-step explanation:

Area Code:  8 * 2 * 10

7 digit number: 8 * 10 * 10 * 10 * 10 * 10 * 10

The total number of area codes is 160

8,000,000 * Area Codes

1.28*10^10

a 28-year-old man pays 118 for a one -year life insurance policy with coverage of 140,000 . if the probability that he will live through the year is 0.9993 , what is the expected value for the insurance policy?

Answers

The Insurance policy's anticipated value in this case is -20.

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

Given,

Man pays -118 for one year

coverage = 140000

probability = 0.9993

The method used to calculate the insurance policy's expected value is:

= Chance that he won't live to see the end of the year * Coverage value - The cost of the insurance

= (1 - 0.9993)*140,000 - 118

= -20.

In this situation, the man's insurance coverage is expected to be worth -20.

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The parenthesis are been used just as the absolute value signs. * 2 points Given the parent function f(x) = r, the function g(x) = (x - 1)3 - 2 is the result of a shift of f(x) (1) 1 unit left and 2 units down (2) 1 unit left and 2 units up (3) 1 unit right and 2 units down (4) 1 unit right and 2 units up 0 1 2 3 O 4

The parenthesis are been used just as the absolute value signs. * 2 points Given the parent function

Answers

Graph and equations

We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is

\(f(x)=x^3\)

if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:

\(x^3\Rightarrow x^3-2\)

If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :

\(x^3\Rightarrow x^3-2\Rightarrow(x-1)^3-2\)

Then, the function:

\(g(x)=(x-1)^3-2\)

is the result of moving

f(x) = x³

1 unit to the right and 2 units down

Answer: 3

how many solutions does 3x+5=7x-20 have?

Answers

Answer:

1

Step-by-step explanation:

hey there,

< 3x-7x = -20-5

-4x = -25

x = \(\frac{25}{4}\)

This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?

But I would just put 1 if I were you. >

Hope this helped! Feel free to ask anything else.

Question 13 If the inflation rate is 180%, in how many years will average prices double?

Answers

If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

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2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2

Answers

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}

Answers

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Will give brainlest!

Will give brainlest!

Answers

The ratio for 3 feet / 1 yard will be 1:1 which is 1.

What is a ratio?

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.

It should be noted that 1 yard = 3 feet

Therefore, 3 feet / 1 yard will be:

= 3 feet / 3 feet

= 1/1

= 1

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GIVING BRAINLIEST!!!!!!PLS HELP! I DONT UNDERSTAND THISSS :((

Explain the coordinate values of the new point, Carter, in relation to the origin.

GIVING BRAINLIEST!!!!!!PLS HELP! I DONT UNDERSTAND THISSS :((Explain the coordinate values of the new

Answers

Answer:

The origin is where the x-axis and the x-axis equal zero. Carter is 15 points up from the origin on the y-axis and 3 points to the right from the origin on the x-axis.

Answer:

Your chart is wrong.. Why? (Look down there!)

Step-by-step explanation:

I have the same assignment too and you've put "Carter" In the wrong area so if you get your points deducted that's why. Also btw here is the correct answer

Coordinates : 7, 15

Also.. Your Welcome! :)

I need the answer to this ASAP.

I need the answer to this ASAP.

Answers

Answer:

1/3 and 5/7. that's number one I think

Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.

Answers

Answer:

1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)

2)probability of showing its heads is 1/2

Marketing company said 259 emails on Monday 431 emails on Tuesday and some emails on Wednesday if the company sent about like 1300 emails over three days about how many emails did the company send on Wednesday

Answers

Answer:

610

Step-by-step explanation:

Given:

259 emails on Monday431 emails on Tuesday? emails on WednesdayTotal emails = 1300

Add:

259 + 431 = 690

Subtract:

1300 - 690 = 610

So, on Wednesday 610 emails were sent out.

Hope this helped.

Definition:The Isuzu NPR 250 light truck with manual transmission has a circular brake drum with a diameter of 320 millimeters. Each brake pad, which presses against the drum, is 307 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees

Answers

Answer:

central angle ( θ) = 1.91875radians

central angle ( θ) in degrees = 109.92degree

Step-by-step explanation:

Given:

diameter of 320 millimeters

Then the Radius of the circular

brake drum can be calculated as

Radius =Diameter/2

Radius = 320 millimeters/ 2

Radius= 160 millimeters

central angle ( θ) = arc/r

central angle ( θ) = 307 millimeters /160 millimeters

central angle ( θ) = 1.91875radians

Than to convert it to degrees we have

1rad × 180/π = degree

Where π =3.142

central angle ( θ) = 1.91875radians * 180/π

Therefore,central angle ( θ) in degrees = 109.92degree

helppppp plzzzz is fue today​

helppppp plzzzz is fue today

Answers

Zero since the line does not go up or down in x and y

Answer:

0

Step-by-step explanation:

There is no gradient there.

Could someone help me? Please.

Could someone help me? Please.

Answers

The solution of the system of equations is (2, 1).

How to solve the system of equations graphically?

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Could someone help me? Please.

Please help mee
I need this for math homework pleass

Please help mee I need this for math homework pleass

Answers

Answer: -2x + 3

Step-by-step explanation:

Subtract like terms. But first, there is a negative in front of the parenthesis of (-6x+2), use the distributive property.

-(6x+2), multiply each number inside of the parenthesis by -1:

-1 * -6x   +   -1 * 2

6x - 2

Now remove the parenthesis and add (or subtract) like terms.

-8x + 5 + 6x - 2

-8x + 6x = -2x

5 - 2 = 3

-2x + 3

Can someone help me please

Can someone help me please

Answers

Either C or A, I know it’s not too much help but risk it for the biscuit on C

Answer:

its c

Step-by-step explanation:

took the testisk...........

PLEASE HELP!! 100 POINTS
Answer BOTH parts of the question by drawing on the following coordinate plane.
A)Draw the image of ∆PQR after a rotation of 180(degrees) about the origin. Label the image ∆P'Q'R'.
B)Draw the image of ∆PQR after a reflection across the x-axis. Label the image ∆P''Q''R''.

PLEASE HELP!! 100 POINTSAnswer BOTH parts of the question by drawing on the following coordinate plane.A)Draw

Answers

Answer:

Hope this helps

The numbers represent the translation group

The dark blue is the final result

Step-by-step explanation:

PLEASE HELP!! 100 POINTSAnswer BOTH parts of the question by drawing on the following coordinate plane.A)Draw

Given 4 and one tenth times negative 4 times 5 over 12, determine the product. negative 16 and 5 over 120 16 and 5 over 60 negative 6 and five sixths 6 and five sixths

Answers

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

What is a numerical expression?

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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A person who filed bankruptcy in the past is able to get a 25-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $130,000 loan is 13%, compounded monthly. Assume this person could have received the lower interest rate on the loan and saved all of the difference on the payments for the first five years of the loan. If this person then invested this total amount in an account paying simple interest at the rate of 2%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $547. 37 b. $32,842. 38 c. $13,196. 95 d. $17,179. 23 Please select the best answer from the choices provided. A B C D.

Answers

The correct answer is d. $17,179.23. The amount of money that would have accumulated in interest by the time the mortgage is paid off is approximately $17,179.23 (the total savings minus the initial investment).

To calculate the accumulated interest, we need to find the difference in payments between the two interest rates and then calculate the interest earned on those savings.

First, let's calculate the monthly payment for the mortgage loan at the higher interest rate of 13%:

Loan amount: $130,000

Interest rate: 13% per year, compounded monthly

Loan term: 25 years (300 months)

Using the formula for calculating the monthly payment on a mortgage, we can find the monthly payment (P):

P = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-n))

Where Monthly interest rate = Annual interest rate / 12 = 13% / 12 = 0.01083, and n is the total number of months (300).

Calculating P, we find:

P = ($130,000 * 0.01083) / (1 - (1 + 0.01083)^(-300))

P ≈ $1,456.62 (rounded to the nearest cent)

Now, let's find the monthly payment at the lower interest rate, which we assume the person could have received:

Interest rate at lower rate = 13% - 6% = 7%

Using the same formula as above, but with the lower interest rate, we find:

P_lower = ($130,000 * 0.007) / (1 - (1 + 0.007)^(-300))

P_lower ≈ $1,163.95 (rounded to the nearest cent)

Now, let's calculate the difference in monthly payments between the two rates:

Monthly savings = P - P_lower

Monthly savings ≈ $292.67 (rounded to the nearest cent)

Since we are interested in the savings for the first five years (60 months) of the loan, we can calculate the total savings over that period:

Total savings = Monthly savings * Number of months (60)

Total savings ≈ $17,560.20 (rounded to the nearest cent)

If this total amount is then invested in an account paying simple interest at a rate of 2%, the interest earned can be calculated as:

Interest earned = Total savings * Annual interest rate

Interest earned ≈ $17,560.20 * 0.02

Interest earned ≈ $351.20 (rounded to the nearest cent)

Therefore, the amount of money that would have accumulated in interest by the time the mortgage is paid off is approximately $17,179.23 (the total savings minus the initial investment).

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Is the relation a function? Why or why not?

a

{(-8,-4), (-2,0), (1,3), (-2, 6)}

Answers

The given statement "the relation is a function" is true because each input (x-value) corresponds to only one output (y-value).

In a function, every input has a unique output. Looking at the set of ordered pairs, we can see that each x-value is associated with only one y-value. For example, (-2, 0) is the only pair with an x-value of -2, so it must have a unique y-value.

Additionally, there are no repeated x-values, which means there are no cases where one input is associated with multiple outputs. Therefore, this relation is a function.

In summary, since each input has a unique output in the given set of ordered pairs, the relation is a function.

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Please help. I just don’t feel like doing it rn

Please help. I just dont feel like doing it rn

Answers

Answer:

   mm

Step-by-step explanation:

What i the ditance between (−1, 4) and (5, 4)?

Draw a line connecting the point. Thi i a
line. The point have the ame. To find the ditance, ue the expreion. The ditance between the point i
unit

Answers

The between two (-1, 4) and (5, 4) are separated by 6 units. It is a question of straight line.

(-1, 4) and are the coordinate provided (5, 4).
We are represent this with (x1, y1) and (x2, y2)
So
D^2= (x2-x1) ^2+(y2-y1) ^2
The are taken to be (x1, y1) and (x2,y2).here are (-1, 4) and (5, 4)
Here,
x1 = -1 and x2 = 5
y1 = 4 and y2 = 4Now after putting the value in formula we get the distance
= 6

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what are multiples of eight and 12

Answers

8 time table
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 = 72
8 x 10 = 80
8 x 11 = 88
8 x 12 = 96

12 table
1 x 12 = 12.
2 x 12 = 24.
3 x 12 = 36.
4 x 12 = 48.
5 x 12 = 60.
6 x 12 = 72.
7 x 12 = 84.
8 x 12 = 96.
9 x 12 = 108
11 x 12 = 132
12 x 12 = 144

Answer: 24 and 48 are both multiples of 8 and 12

8 x 3 = 24

12 x 2 = 24

8 x 6 = 48

12 x 4 = 48

How do I do this ???

How do I do this ???

Answers

Answer:

(-1,4)

(0,0)

(1,-4)

(1,-8)

Step-by-step explanation:

Substitute the value of x in the equation and find the corresponding y value.

 y = -4x

When x = -1     ; y = -4*(-1) = 4.

When x = 0    ; y = 0

When x = 1     ; y = -4*1 = -4

When x = 2    ; y = -4*2 = -8

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