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inna [77]
3 years ago
13

Find the ratio of the geometric sequence 11,99,891

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

Ratio is 9

Step-by-step explanation:

Common ratio can be obtained by dividing second term by first term, third term by second term etc

Therefore

99/11 = 9

891/99 = 9

The common ratio is 9

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
SVEN [57.7K]
(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4  then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23
7 0
3 years ago
(40x9)÷(4x8)=x solve for variable of x
nikklg [1K]
The answer is:  " x = 11 ¼ "  ; or write as:  " x = 11.25 " .
_________________________________________________
Explanation:
_________________________________________________
  (40*9) ÷ (4*8) = x  ;  Solve for "x" ;

(40 * 9 = 360) .

(4 * 8 = 32) .

(360) ÷ (32) = 45/4 = 11 ¼  ; or write as:  11.25 .
________________________________________________
8 0
3 years ago
Read 2 more answers
When are the absolute value and the opposite of a rational number equal
natulia [17]
|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

|-0.5| = - (-0.5) = 0.5
8 0
3 years ago
The polygons below are similar. Find the value of y.<br> 4.5 <br> 12<br> 16<br><br> Guess: 16
elena55 [62]
<span>I believe its 4.5 
I could be wrong though</span>
8 0
2 years ago
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