the Nth term of a geometric sequence is given by this equation, solve it and show ALL of your steps. 4 through 7

The number of viewers in the third episode was 2.16 times that of the second episode.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of viewers in the first episode.

The second episode = x + 80% of x = x + 0.8x = 1.8x

For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x

The number of viewers in the third episode was 2.16 times that of the second episode.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

7.5 square units

Step-by-step explanation:

Area of triangle = 1/2 x base x height

From inspection, base = 5 units and height = 3 units

Therefore, area = 1/2 x 5 x 3 = 7.5 square units

1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1

2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6

3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6

4) 4.2 * 10^-1

Sorry for not putting my work for number 4. Hope this helps!

Answer:

b

Step-by-step explanation:

try putting the diamond into a number.

example: Diamond=1

1+1=2

1+2=3

1+3=4

1+5=6    

so none of the answers except for b is correct

Answer:

It is a 100% hope it helps

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

Answer:

The radius is equal to  [tex]\frac{30}{pi}[/tex]   or about 9.5 inches

Step-by-step explanation:

A revolution is the same as the circumference,

which can be found using C = 2πr

C = 2πr

60 = 2πr

(2π)r = 60

r = [tex]\frac{60}{2pi}[/tex]

r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

12

Step-by-step explanation:

Start by expanding the expression:

4(3x+5)

Distribute the 4 to each of the numbers in the parentheses

12x+20

The coefficient of x is basically what is being multiplied by x. In this scenario, we can expand 12x to be...

12*x

Which means that the coefficient of x is 12

12x+20

12x+20=0

12x=-20.

12÷12x=-20÷12

x=-5/3

x=negative five over three

Answer:

6.67

Step-by-step explanation:

For this question once again use the same method I explained for the other questions. So I'm not going to go in-depth on explaining this one, since it is the same as others.

Step 1:

40/30=1.333333333333333

Step 2:

5 x 1.333333333333333 = 6.666666666666667

Step 3:

Simplify.

6.67 should be the length of BM

Hope this helps! :)

Answer:

The possible values of S are the values between 37 and 49. (Excluding 37 and 49)

Step-by-step explanation:

If the perimeter of the square must be greater than 148 inches but less than 196 inches.

And perimeter of a square = 4s

We intend to find the values of s such that:

148 < 4s

¹⁴⁸⁄₄ < ⁴ˢ/₄

37 < s

Also:

4s < 196

s < ¹⁹⁶⁄₄

s < 49

Therefore:

37 < s < 49.

The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)

Answer:

  16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

  [tex]\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}[/tex]

__

Additional comment

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

  area = 4.5 +3×4 = 16.5 . . . square units

Answer:

Don't know the number.

Step-by-step explanation:

Tell me also.

that the bar graph with all components

Answer:

8 hours

Step-by-step explanation:

Because Jack is riding at 5km/hr (15km/3hr), then in order for him to get 40 km it would take him 8 hours

Answer:

Step-by-step explanation:

Diameter = 20cm . Radius = 10 cm. Circumference = 2πr = 2(3.14)(10) = 6.28 * 10 = 62.8 cm.

Answer:

radius=10

Step-by-step explanation:

radius is always half the diameter therefore the answer is 10 inches.

Answer:

140

Step-by-step explanation:

30+30=60

40+40=80

60+80=140

Answer:

140

Step-by-step explanation:

I got it right on edge

Answer:

13%, 1/8, 1/9, 0.10  13>1/8>1/9>0.10

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

70% of x = 42

.7x = 42

x = 42 ÷ .7

x = 60

Answer:

60

Step-by-step explanation:

We have, 70% × x = 42

or,

[tex]\frac{70}{100}[/tex] × x = 42

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 42 × [tex]\frac{100}{70}[/tex]

x = 60

If you are using a calculator, simply enter 42×100÷70, which will give you the answer of 60

Answer:

73 nickels, 27 dimes

Step-by-step explanation:

x+y=100

5x+10y=635

x=100-y

5(100-y)+10y=635

500-5y+10y=635

500+5y=635

5y=135

y=27

5x+10(27)=635

5x+270=635

5x=365

73

73+27=100

Answer:

Step-by-step explanation:

LCM of 5 and 25=25

Now,

18/5=18x5/5x5=90/25

72/25=72/25

Since 90/25>72/25

Hence,

18/5 is greater than 72/75

Answer:

788947

Step-by-step explanation:

I'm just here for answers

Answer:

1

I think the answer is 4/4 = 1

Answer:

0.5

Step-by-step explanation:

4-(-3)

4+3=

7

Half of 7 is 3.5

4-3.5=0.5

Answer:

The number 0.5 is halfway between -3 and 4.

Step-by-step explanation:

To find the halfway point between two numbers, add them together and divide by 2.

-3 + 4 = 1

1/2 = 0.5

Answer:

Step-by-step explanation:

25x2 − 40x + 16 = (5x)² - 2*5*4  + 4²      { (a - b)² = a² - 2ab + b² }

                          = (5x - 4)²                      { here a = 50 and b = 4}

Side of the square = 5x - 4 units

Part B:

25x2 − 16y2 = (5x)² - (4y)²         { a² - b² = (a + b) * (a - b) }

                    = (5x + 4y) * (5x - 4y)    { here a = 5x and b = 4y}

Dimensions of Rectangle: (5x + 4y) ; (5x - 4y)

Answer:

Step-by-step explanation:

25x²+40x+16=25x²+20x+20x+16

=5x(5x+4)+4(5x+4)

=(5x+4)(5x+4)

=(5x+4)²

length of side=5x+4

Answer:

technology because of our building style or oil

Step-by-step explanation:

Answer:

hello the correct answer is x=6

Step-by-step explanation:

Answer:

51/20

Explanation:

14/5-1/4=

14*4/5*4-1*5/4*5=

56/20-5/20=

56-5/20=

51/20

Answer:

This is a right answer. You can check it