For the geometric series 2 + 6 + 18 + 54 + ... , find t n

Answer:

(-0.5,2.5)

Step-by-step explanation:

The given equations are ,

[tex]\implies x + y - 2 = 0 [/tex]

[tex]\implies 3x - y +4 = 0 [/tex]

The point of intersection will be the solution of the given system of equations. Adding both , y will get cancelled . So that ,

[tex]\implies 4x +2 = 0 [/tex]

Now solve for x , we have ,

[tex]\implies 4x = -2 \\\\\implies x =\dfrac{-2}{4}\\\\\implies x = -0.5 [/tex]

Now put this value in any equation and solve out for y , we have ,

[tex]\implies -0.5 + y - 2 = 0 \\\\\implies y = 2.5 [/tex]

Therefore , the point of intersection will be ,

[tex]\implies\underline{\underline{ Point = (-0.5,2.5 ) }}[/tex]

Answer:

I have absolutely no clue sorry buddy

Step-by-step explanation:

There is no step-by-step explanation

Answer:

Hi

Step-by-step explanation:

I can help you

2. Area of a rectangle 40 cm2

So. We know the area AND one of the sides of the rectangle.

We can calculate the area.

We know that area=length times width

so

A=lw

Rearrange that for w:

w=A/l

w=40:8

w=5

Now we know both l and w

Now we can calculate the perimeter

P=2a+2b

P=2(a+b)

P=2(8+5)

P=2(13)

P=26

I hope it is correct

Answer:

see image

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

6x10 = 60.

60 divided by 12 =5.

Answer:

12

Step-by-step explanation:

5x = 60

x  = 12

Answer:

A. Graph D

Step-by-step explanation:

y >= -1/3x + 1

this means all the y values that are bigger (= above) than the line definition.

and because it says ">=", the line is included.

Answer: [tex]55,811.91[/tex]

Step-by-step explanation:

Given

Principal amount is 25,000

Time Period is [tex]t=15\ yr[/tex]

Rate of interest [tex]r=5.5\%[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P\left(1+r\%\right)^t[/tex]

Insert the values

[tex]\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91[/tex]

Therefore, [tex]55,811.91[/tex] must be paid back

Answer:

Amount of orange juice = 75 ml

Amount of Pineapple juice = 125 ml

Amount of mix juice = 175 ml

Step-by-step explanation:

Given:

Type of juice

Orange juice, Pineapple juice, mix juice

Ratio: 3 : 5 : 7

Amount of juice mixture = 375 ml

Find:

Amount of each juice

Computation:

Let common ratio = a

So,

3a + 5a + 7a = 375

15a = 375

a = 375 / 15

a = 25

Amount of orange juice = 3a

Amount of orange juice = 3(25)

Amount of orange juice = 75 ml

Amount of Pineapple juice = 5a

Amount of Pineapple juice = 5(25)

Amount of Pineapple juice = 125 ml

Amount of mix juice = 7a

Amount of mix juice = 7(25)

Amount of mix juice = 175 ml

Answer:

B.

Step-by-step explanation:

A geometric sequence is where a number is multiplied or divided by same number

in option be all number ar the power of 2 so the correct answer would be B

Answer:

36π mm²

Step-by-step explanation:

Formula: πr²

r=radius

r=6

π6²=36π

Answer:

Step-by-step explanation:

5x-4<10

or, 5x<14

or, x<14/5

so, x<2.8

[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]

Answer:

7 m

Step-by-step explanation:

A = base x height

56 = 8 x h

56/8 = h

h = 7

Answer:

Step-by-step explanation:

Answer:

Option D, 140 sq. units

Step-by-step explanation:

Area of the rectangle part, 11*5 = 55 sq. units

Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units

Total area,

55+2*42.5 sq. units (since there are two pentagons)

= 55+85 sq. units

= 140 sq. units

Answer:

18

Step-by-step explanation:

if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non

Step-by-step explanation:

= 1.414×2.236

= ±3.162

hope it is helpful to you ☺️

Step-by-step explanation:

So here is my attempt. And i guess its correct

Answer:

p= -1 or -11

Step-by-step explanation:

if you mean (p+ 6)² = 25;

then we have that:

p + 6 = √ 25: gotten by squaring both sides of the equal sign

which makes

p + 6 = ±5

P= -6 ±5

therefore;

p = -6 + 5 or p = -6 -5

Full question:

For each multiplication expression, sketch an area model. Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a. (x+1)(x+2), b. 3(2x+5), c. (2x-3)(x+2), d. (x-1)(y-1), e. -2y(y+3), f. (-x+1)(3x+y-4)

Answer and explanation:

a. (x+1)(x+2)= x×x+x×2+1×x+1×2

The dimensions (length and width) is x+1 and x+2

b. 3(2x+5) = 3×2x+3×5

The dimensions is 3 and 2x+5

c. (2x-3)(x+2)= 2x×x+2x×2-3×x-3×+2

The dimensions are 2x-3 and x+2

d. (x-1)(y-1)= x×y+x×-1-1×y-1×-1

Dimensions are x-1 and y-1

e. -2y(y+3)= -2y×y-2y×3

Dimensions are -2y and y+3

f. (-x+1)(3x+y-4)= -x×3x-x×y-x×-4+1×3x+1×y+1×-4

Dimensions are -x+1 and 3x+y-4

The sum of the 15th square number and the 5th cube number is 350.

The 15th square number will be:

15² = 15 × 15

= 225

The 5th cube number will be:

5³ = 5 × 5 × 5

= 125

The sum of the numbers will be:

225 + 125

= 350

Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.

Learn more about sum here:

https://brainly.com/question/17695139

#SPJ1

Answer:

Answer:$4.56

Step-by-step explanation:

Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

54.79-50.23

$4.56

Hope this helps

thank you have a good day !!

Answer:

7

Step-by-step explanation:

evaluate the function means substitute x=-1 and calculate

f(x) = 3x²-4x

f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4

Answer:

Step-by-step explanation:

Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).

Answer:

all real numbers

Step-by-step explanation:

got it right

Answer:

A

Step-by-step explanation:

it is all real numbers

brainiest please

Answer: experimental

Step-by-step explanation:

Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.

An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.

Answer:

5(x-2) = 5x -7

- no solution

-3(x-4) = 3x + 12

- infinitely many solution

4(x+1) = 3x + 4

- Only one solution

-2(x-3) = 2x -6

- Only one solution

6(x+5) = 6x + 11

- no solution

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6