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Answer:

The first five terms are 6, 11, 21, 41, 81 ⇒ D

Step-by-step explanation:

∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2

∴ The first term of the sequence is 6

∴ The value of n represents the position of the term

∵ n = 2

∴ a (n - 1) = a(2 - 1) = a1

∵ a1 = 6

→ Substitute a1 by 6

∴ a(2) = 2(6) - 1 = 12 - 1

∴ a(2) = 11

∵ n = 3

∴ a (n - 1) = a(3 - 1) = a2

∵ a2 = 11

→ Substitute a2 by 11

∴ a(3) = 2(11) - 1 = 22 - 1

∴ a(3) = 21

∵ n = 4

∴ a (n - 1) = a(4 - 1) = a3

∵ a3 = 21

→ Substitute a3 by 21

∴ a(4) = 2(21) - 1 = 42 - 1

∴ a(4) = 41

∵ n = 5

∴ a (n - 1) = a(5 - 1) = a4

∵ a4 = 41

→ Substitute a4 by 41

∴ a(5) = 2(41) - 1 = 82 - 1

∴ a(5) = 81

∴ The first five terms are 6, 11, 21, 41, 81

Answer:

8.9 units

Step-by-step explanation:

sqrt[(x2-x1)^2+(y2-y1)^2]

sqrt[8^2+4^2]

sqrt(80)

8.9 units

Answer:

should be -4

Step-by-step explanation:

Answer:

tsp of red food coloring = 25

Step-by-step explanation:

Red food coloring = 5 tsp

Blue food coloring = 3 tsp

Red food coloring : Blue food coloring = 5 tsp : 3 tsp

Blue food coloring = 15 tsp

how many tsp of red food coloring would you use to get the same recipe of frosting ?

Let

x = tsp of red food coloring

Red food coloring : Blue food coloring = x tsp : 15 tsp

Equate the ratios to find x

Red food coloring : Blue food coloring

5 tsp : 3 tsp = x tsp : 15 tsp

5 / 3 = x / 15

Cross product

5 * 15 = 3 * x

75 = 3x

Divide both sides by 3

x = 75 / 3

= 25

x = 25 tsp

tsp of red food coloring = 25

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

Answer:

$150.50

Step-by-step explanation:

I = 450 × 0.05 × 7 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 450.00

at a rate of 5% per year

for 7 years is $ 157.50.

Hellooo :)

The answer is I = $ 157.50

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

I think the is 18-10s

Step-by-step explanation:

hope that helps

Answer:

180, i already commented it but like i even looked it up a straight line is 180

Step-by-step explanation:

Answer:

about 30 then you will still fall short of that mark

HOPE IT HELP I AM NOT WANTING TO BE INCORRECT

Step-by-step explanation:

this is idiotic sense all the 3's will fall short

Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])

Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

Answer:

i think it's 18

Step-by-step explanation:

no need to

Answer:

x=12

Step-by-step explanation:

If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up

Answer:

my answer for this question is 195

Step-by-step explanation:

Answer:

1) 1:100

2)200 ml

3) 1:50:100

Step-by-step explanation:

Egg to milk = 3:100 or 1:100

3:100=2:x x=200

Eggs to flour to milk=

3:150:300.

Or 1:50:100

Hope this helps plz mark brainliest :D

Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

she me he sid sud iebe Howie

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

(3,9)

Step-by-step explanation:

Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.

(2+1, 5+4)

(3, 9)

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

Judy scored 45 points in the board game.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Answer: B: WX

Step-by-step explanation: