What is the equation for nth term of the geometric sequence-2,8,-32,...?

Answer:

n ≤ 6

Step-by-step explanation:

5 + 2n ≤ 17

2n ≤ 12

n ≤ 6

Answer:

Add 10 from both sides:

2d = 18

divide by 2

D = 9

Answer:

x = 9.83

Step-by-step explanation:

Taking 55 as the reference angle,

hypotenuse (h) = 12

perpendicular (p) = x

Sin 55 = p/h

Sin 55 = x / 12

x = Sin55 x 12

x = 9.83

Answer:

6.4 inches

Step-by-step explanation:

Area= (a+b)/2 x h

64 in^2= (8+12)/2 x h

= 20/2 x h

= 10 x h

64 in^2 / 10 = height of 6.4 inches

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240

Answer:

31=x

96=z

Y=31

Step-by-step explanation:

X x Z=

N/180

16.53

Im not sure because the ff isnt complete

3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what

Answer:

20\40= 0.5 is 1\2

Answer:

you get 9/25

Step-by-step explanation:

formula for area of square

=s^2

plug in

3/5^2

calculate

you get 9/25

Hey there!

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.

We must solve 3/5 x 3/5.

3/5 x 3/5 = 0.36

The units we'll use is  because units are the unt we're given, and it is squared because it is the area of a shape.

Your final answer is 0.36 .

Hope this helps!

Answer:

"An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor." -wwwmathplanet.com

Answer:

an expression tells hiw many times is base used

Answer:

the Value of (k)=?

k value of 11 ans

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Answer:

8

Step-by-step explanation:

40/5 = 8

56/7 = 8

64/8 = 8

Answer:

2.75 each pack

Step-by-step explanation:

13.75 divided by 5 =2.75

Answer:

polygon B = 20 meters

Step-by-step explanation:

polygon A : polygon B

3 : 4

15 : x

first take 15 and divide by 3, this would tell us how much it went up by:

15 ÷ 3 = 5

next, take 4 and multiply it by 5:

4 x 5 = 20

this means that polygon B is 20 meters

Answer:

2/7

Step-by-step explanation:

Since the denominators are the same, we need to add the numerators and place it over the common denominator

-4+6 = 2

so

-4/7 + 6/7 = 2/7

2/7

Answer:

B

Step-by-step explanation:

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

They have the same y-intercept of -6.

Answer:

Y=1.50

Step-by-step explanation:

For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others

1) 4x1.50= 6.00

2)5.00/1.50= 3 and 1/3

Answer:

third option down I'm 99% sure

Answer: -5x+y=6

Step-by-step explanation:

Given

Points on line [tex](-1,1)\ \text{and}\ (0,6)[/tex]

The standard form of an equation is [tex]ax+by=c[/tex]

Using the two-point form of a line

[tex]\Rightarrow \dfrac{y-1}{x+1}=\dfrac{6-1}{0+1}\\\Rightarrow \dfrac{y-1}{x+1}=\dfrac{5}{1}\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6[/tex]