What explicit expression can be used to find any term of this sequence: 6, 9, 14, 21, ...

A) f(n) = 3n + 3
B) f(n) = n^2 + 5
C) f(n) = 2n^2 + 4
D) f(n) = n^2 + 3

Answer:

3 hours

Step-by-step explanation:

Assuming that when the problem says "day" it refers to the hours of wakeness.  The problem is essentially asking to find 20% of 15.

First, convert 20% to decimal form. To do this, divide (20) by 100, this is because a percent is out of 100.

20 / 100 = 0.2

Now multiply the hours of wakeness by the percent as a decimal;

15 * 0.2 = 3

Isabelle spends 3 hours studying.

Answer: 0.00111111111

Step-by-step explanation:

Answer:

(5x6) / (3x6) : 5 = 1/900 ≅ 0.01111111  

Answer:

Increasing and linear: B

Decreasing and linear: E

Increasing and nonlinear: A

Decreasing and nonlinear: D

Answer:

True statements are:

(i) The lane 2 turtle is faster than the lane 1 turtle.

(iv) The lane 1 turtle has a head start.

Step-by-step explanation:

Now we proceed to check the value of truth for each choice:

(i) The lane 2 turtle is faster than the lane 1 turtle.

Speed of the turtle is the slope of the linear function, the greater the slope, the faster the turtle. Hence, the lane 2 turtle is faster than the lane 1 turtle. (Answer: TRUE)

(ii) At 3 seconds, the turtle in Lane 2 is 12 feet from start.

Let the position of the turtle in Lane 2 be represented by [tex]d = 3\cdot t[/tex]. For [tex]t = 3\,s[/tex], then [tex]d = 3\cdot (3) = 9[/tex]. Hence, the turtle in Lane 2 is just 9 feet from the start. (Answer: FALSE)

(iii) At 12 seconds, the turtle in Lane 1 is 6 feet from the start.

Let the position of the turtle in Lane 1 be represented by [tex]d = 6 + t[/tex]. For [tex]t = 12\,s[/tex], then [tex]d = 6+12 = 18[/tex]. Hence, the turtle is 12 feet from the start. (Answer: FALSE)

(iv) The lane 1 turtle has a head start.

According to graph, Lane 1 turtle starts at a position of 6 feet, whereas Lane 2 turtle start at a position of 0 feet. Hence, Lane 1 turtle has a head start. (Answer: TRUE)

Answer:

a1) 65

a2) 25

a3) 45

Step-by-step explanation:

all triangle equal to 180

Answer:

65

25

45

Step-by-step explanation:

1) green triangle 180 - 50 - 65 = 130 - 65 = 65

2) purple triangle 180 - 130 - 25 = 50 - 25 = 25

3) red triangle 180 - 45 - 90 = 90 - 45 = 45

Answer:

(8, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x - 16

5y = 2x - 56

Step 2: Solve for x

Step 3: Solve for y

Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

Answer:

123

Step-by-step explanation:

BODMAS

1.multiply 20 by 2

2.20 ×2

3. 40+22+40+20+43=123

Answer:

123 :)

hope this helped!

Answer:

Step-by-step explanation:

the ordinary form of 2.8 * 10^5 is

= 280000

Answer:

25% = 25/100 = .25

25% of 130 = .25(130) = $32.50

$32.50

if thats what you were saying

Step-by-step explanation:

Answer:

He will have deposited $32.50 and kept $97.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total Weight = 2½ + 1⅓ + 2

= 5/2 + 4/3 + 2

= 15/6 + 8/6 + 12/6

= 35/6

= 5⅚ pounds

Answer:

y=−2x−2

Step-by-step explanation:

i hope it helps

have a good day ^_^

Answer:

D. (2, -1)

Step-by-step explanation:

I took the test and got it right.

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Triangle QRS is rotated 180° about the origin.

On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).

So, the coordinates of point S will be (2, -1).

Learn more about the rotation of a point with respect to origin here:

https://brainly.com/question/18856342

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Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph it is clear that the line passes through the points (0,2) and (3,-2). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-2=\dfrac{-2-2}{3-0}(x-0)[/tex]

[tex]y-2=\dfrac{-4}{3}x[/tex]

Adding 2 on both sides, we get

[tex]y=-\dfrac{4}{3}x+2[/tex]

Therefore, the equation for the given line is [tex]y=-\dfrac{4}{3}x+2[/tex].

Answer:

13

Step-by-step explanation:

we know both triangles are congruent, so we can make an equation

3x+7=10x-7

take 3x from both sides

7=7x-7

14=7x

x=2

20-7=CAD

m<CAD is 13

The value of the angle CAD in the figure given is 13°.

So, the correct option is 1.

Given is a figure, we need to find the measure of the angle CAD,

To find the required measurement we will show the triangles ABD and ACD are congruent,

So, considering the Δ ABD and Δ ACD,

BD ≅ DC [marked in the figure]

∠B ≅ ∠C [all the right angles are ≅]

DA = DA [common in the both Δs]

Hence, Δ ABD ≅ Δ ACD by SSA rule.

We get, ∠CAD ≅ BAD by CPCTC.

Therefore,

3x + 7 = 10x - 7

Combining the like terms,

10x - 3x = 7 + 7

7x = 14

x = 2

Put x = 2 in ∠CAD = 3x + 7,

∠CAD = 3(2) + 7

∠CAD = 6 + 7

∠CAD = 13°

Hence, ∠CAD = 13°.

Learn more about Congruent triangles click;

https://brainly.com/question/29116501

#SPJ4

Answer:

15 servings

Step-by-step explanation:

divide the numbers

Answer:

a) The complete square form =  ( x-11)² = 116

b)   x = 11 + 2√29

Step-by-step explanation:

Step(i):-

Given equation   x² = 22x -5

              ⇒ x² - 22x + 5 =0

             ⇒  x² - 2× 11 x + (11)² -(11)² + 5=0

            ⇒ ( x- 11)² -121 +5 =0

           ⇒  ( x-11)² = 116

The complete square form =  ( x-11)² = 116

Step(ii):-

           ⇒  (x-11) = √116 = √29 ×√4

           ⇒  x-11 = 2√29

          ⇒   x = 11 + 2√29

Answer:

w= -12

Step-by-step explanation:

Step-by-step explanation:if you like it press thank you ❤❤❤

2x-3y=2 4x+7y= -9

2x=2+3y

2x=2+3y

2 2

x=2+3y 4(2+3y) + 7y= -9

2 2

8+12y + 7y= -9

2

8+12y+14y = -9

2

8+12y+14y= -18

26y= -26

26y = -26

26 26

y= -1

4x+7(-1)= -9

4x+(-7)= -9

4x-7= -9

4x = -2 now lets check,4(-1) + 7(-1)= -9 or 2(-1)-3(-1)=2

4 4 2 2

x=-1 -4 +(-7) = -9 -1-(-3)=2

2 2 -1+3=2

-2-7= -9 2=2

-9= -9

so the answer is x= -1 and y= -1

2

Answer:

30 yards

Step-by-step explanation:

just look at the time 3 seconds and see where the distance matches

Answer:

30 yards

Step-by-step explanation:

Answer:

lines that intersect

Step-by-step explanation:

Answer:

when two lines meet and form a right angle

Step-by-step explanation:

if you take two segments and cross them to form a 90 degree angle, you'll have four 90 degree angles, known as a perpendicular line.

Answer:

if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10

Step-by-step explanation:

-4 is 10 under -14. If X=9 then Y= -1.

Answer:

Division :)

Hope this helps!

Answer:

stack AD with bar on top space text is parallel to end text BC with bar on top.

Answer:

I think it's the second

Step-by-step explanation:

Answer:

the firs tone is right

Step-by-step explanation:

5 x 2x = 10x + 5 x 8 = 40 which is 10x + 40

Answer:

105 for all of them

Step-by-step explanation:

1) take 180-75, because of opposite angles.

105

2)again, 105 because we know the opposite angle is 75

3)105

again, opposite angles.

Answer:

a, 3, 8, c

Step-by-step explanation: