A particle’s beginning location is represented by the vector Vector m = LeftAngleBracket 5, 7, negative 1 RightAngleBracket.. After a certain amount of time, the particle’s position vector is Vector n = LeftAngleBracket negative 5, 8, negative 8 RightAngleBracket.. The particle’s ending position is Vector a = LeftAngleBracket negative 3, negative 5, negative 10 RightAngleBracket.. What is the overall displacement vector of the particle?

LeftAngleBracket negative 8, negative 12, negative 9 RightAngleBracket.
LeftAngleBracket negative 10, 1, negative 7 RightAngleBracket.
LeftAngleBracket 10, negative 1, 7 RightAngleBracket.
LeftAngleBracket 8, 12, 9 RightAngleBracket.

Answers

Answer 1

Answer:

<-8,-12,-9>

Step-by-step explanation:

got it right on edge


Related Questions

find the arc JML of the circle

Answers

Answer:

JML = 176°

Step-by-step explanation:

JML = 2 angle JKL

= 2 × 88°

= 176°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Select the correct answer.
Graph the following system of inequalities.
y < 2x + 1
y <-x– 1

Answers

See the attachment  for the graphed inequalities.

Which graph represents the solution of the inequality 24x – 17x ≥ 13x + 15?

Answers

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

24x - 17x ≥ 13x + 157x ≥ 13x + 15-6x ≥ 15x ≤ -2/5

Plotted graph :

Kindly note the line drawn should be a solid line for the inequality to be trueWhen you draw on a graph, kindly remember this and don't directly copy from the attached graph

HELP ME PLEASE!!!!!!

Answers

Answer:

94 square inches.

Step-by-step explanation:

Surface area is the area around a surface. Thus, in order to calculate the surface area of a rectangular prism, we just need to add up the different faces of it.

There are 2 5x4 faces, 2 3x5 faces, and 2 4x3 faces.

Thus, we get 2*20 + 2*15 + 2*12 = 40 + 30 + 24 = 94 square inches.

The answer is 94 square inches.

First you have to find area of all the sides of the shape.

You so this by multiplying 4*5=20, 3*4=12, and 3*5=15

Then double all the products because there are two of each one of the sides on the shape because it is a rectangular prism.

You get 40, 24, and 30.

Finally add all of those numbers together to get the surface area. 40+24+30=94.

94 is the surface area

Cole has 5 times as many pencils as
Connor. Together they have 18
pencils. How many pencils does Cole
have?

Answers

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

In the figure below,ABC is an isosceles triangle with |AB|=|AC|.|BC| is extended to D such that |AC|=|CD|.If ​

Answers

The perimeter of the triangle ABC is [tex]10+\sqrt{10}[/tex] [tex]units[/tex].

The given parameters:

Triangle ABC = Isosceles triangle

The length of AC = 3-(-2) = 5 unit

The length of AC = length of BC = 5 unit

The length of BC is calculated by applying Pythagoras theorem as follows;

[tex]BC^2=(4-1)^2+(3-2)^2[/tex]

[tex]BC^2=3^2+1^2[/tex]

[tex]BC^2=10[/tex]

[tex]BC=\sqrt{10}[/tex]

The perimeter of the triangle ABC is calculated as follows;

[tex]P=AB+AC+BC[/tex]

[tex]P=5+5+\sqrt{10}[/tex]

[tex]P=10+\sqrt{10[/tex]  [tex]units[/tex]

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144x^2-100 factor completely

Answers

[tex]144x^2-100[/tex]

looking at the original equation, you'll notice that it is a difference of squares therefore the factored form will look like something like this:

[tex](ax-b)(ax+b)[/tex] where a and b are the two numbers and the x represents the variable.

This would be the factored form:

[tex](12x-10)(12x+10)[/tex]

It can then be simplified to this:

[tex]2(6x-5)2(6x+5)[/tex]

and this would be its fully factored form:

[tex]4(6x-5)(6x+5)[/tex]

If a and ß are the roots of he equation 3 x² + 6x - 2 = 0, Calculate the value a^3 - B^3​

Answers

Answer:

[tex]\alpha^3-\beta^3 = \frac{28}{3}\sqrt{\frac{5}{3}}[/tex]

Step-by-step explanation:

Given quadratic equation is: [tex]3x^2 +6x-2=0[/tex]Comparing it with [tex]ax^2+bx+c=0[/tex], we find:

[tex]a = 3,\: b= 6,\: c = -2[/tex]

It is given that: [tex] \alpha\: and \: \beta[/tex] are roots of the given quadratic equation. So, we find the sum and the products of the roots.

[tex] \implies \alpha + \beta =-\frac{b}{a}=-\frac{6}{3}=-2[/tex]

[tex] \& \:\alpha.\beta =\frac{c}{a}=-\frac{2}{3}[/tex]

Since, one of the factors of [tex] \alpha^3-\beta^3[/tex] is [tex](\alpha - \beta)[/tex] . Therefore, now we will find the value of [tex](\alpha - \beta),[/tex] which can be obtained by the following formula.

[tex]\alpha-\beta=\sqrt{(\alpha+\beta)^2-4\alpha\beta}[/tex]

[tex]\implies \alpha-\beta=\sqrt{(-2)^2-4\bigg(-\frac{2}{3}\bigg)}[/tex]

[tex]\implies \alpha-\beta=\sqrt{4+\frac{8}{3}}[/tex]

[tex]\implies \alpha-\beta=\sqrt{\frac{12+8}{3}}[/tex]

[tex]\implies \alpha-\beta=\sqrt{\frac{20}{3}}[/tex]

[tex]\implies \alpha-\beta=2\sqrt{\frac{5}{3}}[/tex]

[tex]\alpha^3-\beta^3 =(\alpha-\beta)^3+3\alpha\beta(\alpha-\beta)[/tex]

[tex] \implies \alpha^3-\beta^3 =\bigg(2\sqrt{\frac{5}{3}}\bigg)^3+3\bigg(-\frac{2}{3}\bigg)\bigg(2\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 =8\bigg(\sqrt{\frac{5}{3}}\bigg)^3-\bigg(\frac{6}{3}\bigg)\bigg(2\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 =8\times \frac{5}{3}\bigg(\sqrt{\frac{5}{3}}\bigg)-4\bigg(\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 = \frac{40}{3}\bigg(\sqrt{\frac{5}{3}}\bigg)-4\bigg(\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 = \bigg(\frac{40}{3}-4\bigg)\bigg(\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 = \bigg(\frac{40-12}{3}\bigg)\bigg(\sqrt{\frac{5}{3}}\bigg)[/tex]

[tex] \implies \alpha^3-\beta^3 = \frac{28}{3}\sqrt{\frac{5}{3}}[/tex]

The value of a³-B³ from the given quadratic equation is 12.05.

What are roots of a quadratic equation?

The roots to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a and B are the roots of the equation 3x²+6x-2=0

By comparing 3x²+6x-2=0 with ax²+bx+c=0, we get a=3, b=6 and c=-2

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

Now, substitute a=3, b=6 and c=-2 in quadratic formula

That is, x = [-6 ±√(6² - 4×3×(-2))]/2×3

= [-6 ±√60]/6

= (-6±2√15)/6

= (-3±√15)/3

So, a=(-3+√15)/3 and B=(-3-√15)/3

Now, a³-B³ = [(-3+√15)/3]³- [(-3-√15)/3]³

= 12.05

Therefore, the value of a³-B³ from the given quadratic equation is 12.05.

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If a number is divisible by 2 and 3, why is it also divisible by 6?

Answers

Answer:

They have 6 when multiplying it

Step-by-step explanation:

2 and 3 are prime numbers. So they are prime factors of any number. Therefore if any number is divisible by 2 & 3 both then it will be divisible by 6.

I NEED HELP PLSS. The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders. Which survey method is the best to use?

A
Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

B
Survey 50 randomly selected seventh-grade students at one of the middle schools.

C
Survey 50 randomly selected seventh-grade students who are participating in school sports this year.

D
Survey 50 randomly selected eighth-grade students who participated in school sports last year.

Answers

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools. Then the correct option is A.

What is a sample?

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders.

The survey method is the best to use will be

Random sampling is the method of selecting the subset from the set to make a statical inference.

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

Thus, the correct option is A.

More about the sample link is given below.

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In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)

Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7

Answers

Step 3 is where the first mistake occurs
Hey there!

The mistake occurs in [tex]3^{rd}[/tex] step.

Explanation:

As in [tex]3^{rd}[/tex] step we can easily notice that 8 + 2 gives 10,but here it's written 4. For which the answer came invalid.

So the answer will be:

Step 1: 8 + 2 + (3 × 1)

Step 2: 8 + 2 + 3

Step 3: 10 + 3 [ corrected]

Step 4: 13

Hope it helps

If a person invests $310 in an account that
pays 8% interest compounded weekly,
find the balance after 8 years (round to the
nearest cent)

Answers

That person have $ 573.79 in his account balance after 8 years.

What is Compound Interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, Principal = $ 310

          Rate of interest = 8%

          Time = 8 years

We know,

Amount = P (1 + i )ⁿ

              = 310 X (1 + 0.08)⁸

              = 310 X 1.85

             = $ 573.79

Thus, that person have $ 573.79 in his account balance after 8 years.

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PLS HELP I NEED TO TURN THIS IN

Answers

There are 16 parents.

12 of the parents match the criteria.

12/16×100

=75%

HELP PLS If there were 180 minions with you in the lab and only three-fifths made it through the door, how many minions are still with us?

Answers

Answer:

they all passed away so they went back to GRU and he burried them and at their f l e s h, The rest all ran away.

WHAT IS THE CO-EFFICIENT OF b in the expression b^2 - b5 + 18?​

Answers

Answer:

-5 is the coefficient of b

         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the coefficient of b² in the expression b²-b⁵+18?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

1

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

The coefficient is defined as a number before a variable.

If there's no number, then the coefficient is 1.

Since b² has no number next to it, its coefficient is 1.

Good luck.

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

find the least common multiple for x^2-100, x-100

Answers

Answer:

(x+10)(x-10)

Step-by-step explanation:

The factor for x+10 is x+10 itself.

(x+10) = x+10

(x+10) occurs 1 time.

The factor for x-10 is x-10 itself.

(x-10) = x-10

(x+10) occurs 1 time.

The LCM of x+10, x-10 is the result of multiplying all factors the greatest number of times they occur in either term.

(x+10)(x-10)

I need help please anyone
I’ll give you brainlist

Answers

Answer:

just count up that equals 1000

find the slope of the line thatpasses through these two points: (-3, 4): (2,-1)

Answers

Answer:

y=-x+1

Step-by-step explanation:

Solve for m/a renter answer in the box round to your final answer to the nearest degree.

Answers

Answer:

50 degrees

Step-by-step explanation:

For a RIGHT triangle   tan A = opposite side / adjacent side

tan A = 12/10

arctan ( tan A) = A = arctan (12/10) = 50.19 degrees

Yo! Can someone help me with this?

Answers

Answer:

w=39 degrees and r=51 degrees

Step-by-step explanation:

The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)

Hope that helps! :)

The distance around a triangle is 36 cm. If two sides are equal and the length of the third side is 14 cm what is the length of each of the other two sides?

Answers

Answer: 11 cm

Step-by-step explanation:

        Let x be the length of one of the other sides. If two are equal, then they both will be 2x.

       Then one side is equal to 14 cm.

       All the sides added together, the perimeter, is equal to 36 cm.

      We will take the numbers we pulled from the problem, create an equation, and solve for x.

36 cm = 14 cm + 2x

22 cm = 2x

11 cm = x

          The length of each of the two other sides is 11 cm.

The equation whose roots are multiplied by 3 of those of 2x^2 + 3x – 1=0 is ​

Answers

Answer:

Here is rest of explanation

I need help solving this problem

Answers

Answer:

First option, incorrect....

Step-by-step explanation:

This is because the interval is either below or above 26.8 by 0.6

-+ means

26.8 + 0.6 = 27.4

26.8 - 0.6 = 26.2

The confidence interval % can change

- The second option states 28 but that is not in the interval

- The third option is somewhat right but the parameter should be emphasized how confident you are

- The last option is wrong since it has the word "every young" when the initial sentence was the mean

Shelley read 40 business proposals between 6 am and 11 am. On average how many proposals did she read per hour

Answers

Answer: 8 proposals per hour

Step-by-step explanation: 40/5 = 8

17. You roll a number cube. How likely is it that you will roll a number less than 7?
Explain

Answers

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Answers

Explanation:

The corresponding sides are congruent, so we simply need to state that fact and invoke the SSS congruence postulate.

__

Statement . . . . Reason

AB≅DC, CA≅BD . . . . given

BC≅CB . . . . reflexive property

ΔABC ≅ ΔDCB . . . . SSS congruence postulate

help please 100 brainlest

Answers

Answer:

friday

Step-by-step explanation:

8th day will be monday

then 32 nd will be monday.

so 36th is friday

Admission to the county fair costs $9 per person. The ride tickets cost $2.50 each.

Which equation represents the total cost, C, of visiting the fair where r represents the number of ride tickets bought?

Answers

Answer:$11.5

Step-by-step explanation:

Admission = $9 charged once

each ride = $2.5x (x=number of rides)

Total cost for x rides

=2.5x+9

What is the value of this expression when d = 4 7/8 and f = 3 1/2
6 (d - f) + f

Answers

7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881

What is the slope intercept equation for this line?

Answers

Answer:

y=-3x+4.

Step-by-step explanation:

1) the slope can be calculated according the formula:

slope=(y_end-y_init)/(x_end-x_init);

2) according to the formula above:

slope=(3-1)/(0-1)=-3.

3) according to the given graph the interception is 4, then

4) finally, the required equation is y=-3x+4.

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