What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

Answer:

x = - 12, x = 6

Step-by-step explanation:

Given

(x + 3)² - 81 = 0 ( add 81 to both sides )

(x + 3)² = 81 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )

x = - 3 ± 9

Thus

x = - 3 - 9 = - 12

x = - 3 + 9 = 6

Answer:

1. certain

2.15/31

3.40%

4.unlikely

Answer:

in 6.36004793262 seconds

Step-by-step explanation:

h(t) = –16t^2 + v*t + h

0=-16t^2 + 70*t+ 202

t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))

t=(-70 ± sqrt(4900+64*202))/-32

t=(-70 ± sqrt(4900+12928))/-32

t=(-70 ± sqrt(17828))/-32

t=(-70 ± sqrt(2*2*4457))/-32

t=(-70 ± 2 sqrt(4457))/-32

t=(-70 + 2 sqrt(4457))/-32

t=-1.98504793262

t=(-70 - 2 sqrt(4457))/-32

t=6.36004793262

since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is

in 6.36004793262 seconds

I don't know till what I am supposed to round, so I will leave it there.

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

Words Related to Teeth:

dentures

dentistry

Words Related to Heat:

geothermal

thermos

Words Related to Work:

belabored (whatever that means)

laborious

• Dentures

• Dentistry

•Thermos

•Geothermal

•Belabored

•laborious

Step-by-step explanation:

Hope this helped. I took the test EDG 2022. Have a great day / night ! :)

Answer:

Here's what I get.

Step-by-step explanation:

Assume the figure is like Image 1  below.

We must dilate each point by a scale factor of 3 centred at (2, −7).

1. Determine the transformation rules

Each point moves to three times its original distance from the centre.

Let P = a point on the figure and

let O = the centre of dilation

and L = the distance from the point to the centre. Then

L = P - O

Three times that distance is  

3L = 3P - 3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.

P' = 3L + O = 3P - 3O + O = 3P + 2O

If P is at (x,y) and O is at (h,k), the transformation rule is

(x,y) ⟶ (3x - 2h, 3y - 2k)

2. Make a table of the new coordinates

[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]

3. Graph the new shape

You should get a graph like Fig. 2.

The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.

Point B is two units left of O and three units up.

Also, B' is six units left and nine units up, so the scale factor is three.

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

Answer:2a

We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)

And the answer is 2a

Answer:

no solution

Step-by-step explanation:

I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5

Answer:

2.5

Step-by-step explanation:

In the pic below

Answer:

No

Step-by-step explanation:

It should be -8 degrees because 5x4=20 and 12-20=-8

Answer:

Answer is given below with explanations.

Step-by-step explanation:

By using the results of the similarity theorem

we say that

[tex] {y}^{2} = 4 \times 12 \\ {y}^{2}= 48 \\ {y} = \sqrt{48} \\ y = 4 \sqrt{3} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Options 3, 4, and 5 are all equivalent

The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

We have given that

-5/19

An expression is a sentence with a minimum of two numbers and at least one math operation.

1) 5/19

Option 1 is not correct.

2)-5/-19

Implies that 5/19.

Option 2 is also not correct.

3) -5/19

Option 3 is correct.

4) 5/-19=-5/19

This is the correct option.

5)-(5/19)=-5/19

This is also the correct option.

Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

To learn more about the expression visit:

https://brainly.com/question/723406

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

Answer:6

Step-by-step explanation:

I feel like we are missing some of the equation, but here goes with what you gave

(x+y)

(4+2)

(6)

Answer:

6

Step-by-step explanation:

if x=4 and y=2 then (x+y) is (4+2)

Answer:

Step-by-step explanation:

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

Answer:

60 minutes/1 hour

Step-by-step explanation:

45+ 15=60

Answer: 163 pounds

Step-by-step explanation: 12 stones is 168 pounds

Answer:163 lbs

Step-by-step explanation:

12 stone in lbs is 168 so 168-5= 163 lbs

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The container is shaped a rectangular prism

- Its base is a rectangle of dimensions 4 cm by 8 cm

- Its height is 5 cm

- The lid of the container is shaped a rectangular pyramid

- Its base is a rectangle with the same dimension of the base of the

container 4 cm by 8 cm

- Its height is 2 cm

* Lets solve the problem

∵ The container is shaped rectangular prism

∵ The base of the container is a rectangle with dimensions 4 cm

 by 8 cm

∵ The height of the container is 5 cm

∵ The led of the container is shaped a rectangular pyramid

∵ The base of the lid of the container is a rectangle with dimensions

 4 cm by 8 cm

∵ The height of the lid is 2

∴ A rectangular prism measuring 4 cm by 5 cm by 8 cm and a

 rectangular pyramid with the dimensions of 2 cm by 4 cm by

 8 cm is the correctly describes the dimensions of the figures

  that make up the container and its lid

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

Answer:

1. 1350

2.2700

Step-by-step explanation:

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Answer:

A

Step-by-step explanation:

[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]

So the right answer is √41

please see the attached picture for full solution

Hope this helps

Answer:

answer for the question is 1.point R means that the unit rate is $14.00 per pound