Find the 63rd term of the arithmetic sequence
2
,
9
,
16
,
.
.
.
2,9,16,

Answer:

$375

Step-by-step explanation:

If the discount was 25%, that means Bob bought the computer at 75% of original.

75% of 500 = 3/4 * 500 = $375

I hope this helps! :)

Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,

x(t) = -1 + 3t

y(t) = 6 - 3t

z(t) = 3 + 7t

by differentiating (t) component-wise:

T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉

T = 〈3, -3, 7〉

Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.

Then the vector equation of the new line is

tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉

with parametric equations

x(t) = 3t

y(t) = 11 - 3t

z(t) = -9 + 7t

Answer:

The side length of the new square is 24 ft.

Step-by-step explanation:

Dilations

A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.

A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.

We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.

The side length of the new square is 24 ft.

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)  

Answer:

x+10 = x + 11

Answer:

be yourself

Step-by-step explanation:

that's the only thing that i can say

Answer:

Just let her.

Step-by-step explanation:

Answer:

Bottom Graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Bad=360-118*2-62=360-236-62=360-298=72°

Answer:

t = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(t+1)=18

(3)(t)+(3)(1)=18(Distribute)

3t+3=18

Step 2: Subtract 3 from both sides.

3t+3−3=18−3

3t=15

Step 3: Divide both sides by 3.

3t/3 = 15/3

t = 5

Answer:

b

Step-by-step explanation:

Given that,

AB + BC = 24 and AB = 10, then 10 + BC = 24.

To find,

The above expression is an example of what?

Solution,

We have,

AB + BC = 24  ....(1)

and

AB = 10

Substitute AB = 10 in equation (1).

10+BC=24

BC = 24-10

BC = 14

Therefore, we have used Substitution Property. Hence, the correct option is (2).

Answer:

Craig has £13.40

He sees this offer in a restaurant:

Main courses £8.90 each. Buy one main course and get the 2nd HALF PRICE!

Can he afford to buy two main courses? Show your working.

Answer:

B)  Y-intercept: (0,3), X-intercept: (4,0)

Step-by-step explanation:

x = 0         12y = 36-9x

12y = 36

y = 3        y intercept: (0,3)

y = 0   9x = 36      x = 4

x intercept: (4,0)

Answer:

D

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

the points line up on graph D

Answer:

to make sure you understand the question

Step-by-step explanation:

Answer:

Most likely to help you understand the answer so that if you run into a problem similar you don't have to look it up

Step-by-step explanation:

Answer: x is -6

Step-by-step explanation:

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

- We will perform integration of each given pdf as follows:

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

Step-by-step explanation:

Notice that:

1st column = (5 - 1)² = 16

2nd column = (11 - 4)² = 49

Therefore 3rd column = (18 - *)² = 121, * = 7.

Answer:

7 is the missing number

Step-by-step explanation:

Let the missing number be x.

Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.

In 1st column ,

Difference of first 2 numbers = 5 - 1 = 4

The bottom number = 16 = 4²

In 2nd column ,

Difference of first 2 numbers = 11 - 4 = 7

The bottom number = 49 = 7²

Similarly ,

Difference of first 2 numbers = 18 - x

The bottom number = 121

[tex] = > {(18 - x)}^{2} = 121[/tex]

[tex] = > {(18 - x)}^{2} = {11}^{2} [/tex]

[tex] = > 18 - x = 11[/tex]

[tex] = > x = 18 - 11 = 7[/tex]

Answer:

282.39

Step-by-step explanation:

1. Find the amount of money it increases by

   275.23 * 0.026 = 7.156

2. Add the amount it increases by to the original price

   275.23 + 7.156 = 282.39

Final answer

   282.39

Answer:

I) 1/9; II) 1/6.

Step-by-step explanation:

I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.

The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.

II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.

The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6

Answer:

put a closed dot on -10. then draw a right arrow from -10 to 11

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.

In short, shaded dot on -10 going to the right.

Answer:

i) A plan which u should be ready with must have another back-up plan if somehow it goes down.

ii) Execution of the plan must be kept in mind.

iii) You have to learn the deep down basics and details of the game to execute the plan accordingly with the situation.

Answer and Step-by-step explanation:

Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:

Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).

Let Acos(phi) = c2 and Asin(phi) = c1 we have:

Asin(wt + phi) = c2sin(wt) + c1cos(wt)

Answer:

Step-by-step explanation:

In order to prove that Asin(ω⁢t+ϕ) equals c2sin ω⁢t+ c1cos ω⁢t we need use the sin (A+B) sum identity.

The sin sum identity is sin(A+B)= sinA × cosB + cosB × sinA

Now lets plug in our info.

Asin(ω⁢t+ϕ)= (sin wt × cosϕ) + (cos wt × sinϕ)

We know that Asin= c1 and Acos= c2.

Once we input c1 and c2 and solve, our end result becomes c2sin(wt)+c1cos(wt)​

Answer:

6x+8x = 25+3

14x = 28

x =2

Step-by-step explanation:

When we take something to other side of equal sign it changes sign.

Answer:

X=4

Step-by-step explanation:

You simplify and then get x alonE