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3 years ago

Find the 9th term of the following geometric sequence: 1, –3, 9, –27. PLEASEEEEE HELP!!!!!!

1 answer:

6 0

Find common ratio
1 times -3=-3
-3 times -3=9

an=a1(r^(n-1))
a1=first term
r=common ratio
n=which term

an=1(-3)^(n-1)

9th term
n=9
an=1(-3)^(9-1)
an=1(-3)^(8)
an=1(6561)
an=6561

answer is D

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The architect drew a design for the new kitchen. What is the area of the kitchen drawing?

nordsb [41]

Answer:

Step-by-step explanation:

Area of the kitchen = Area small rectangle + area large rectangle + area triangle

Area small rectangle = (8-4)*1.5

Area large rectangle = (8-4)* 3

Area triangle = (1/2)*base*height = (1/2)*4*3

Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²

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2 years ago

Need Help With This

gregori [183]

Answer/Step-by-step explanation:

Let x = 4 (you and 3 friends)

Ticket cost per head = $5.50

Drink cost per head = $2.50

Popcorn cost per head = $4.00

Expression representing total amount of money spent = $5.50(x) + $2.50(x) + $4.00(x)

Evaluate the expression by plugging in the value of x = 4

Total amount of money spent = $5.50(4) + $2.50(4) + $4.00(4)

= $22 + $10 + $16 = $48

Total amount of money spent = $48

8 0

3 years ago

a racing car starts fron rest .if it gains an acceleration of 5m/second square in 10 second ,calculate the final velocity.

hjlf

Answer:

The final velocity would be 50 m/s.

Its by formula,

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3 0

2 years ago

The demand function for a product is modeled by p = 400 − 4x, 0 ≤ x ≤ 100, where p is the price per unit (in dollars) and x is t

lawyer [7]

Answer:

Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200

Step-by-step explanation:

p = 400 - 4x

4x = 400 - p

x = (400 - p) / 4 → x = 100 - p/4

Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)

Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4

P ed = -1 x p

4 (400 - p)/4

= -1 x 4p = -p / (400-p)

4 (400 - p)

Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).

So, Ped = p / (400 - p)

Demand is Elastic when P.ed > 1

p / (400-p) > 1

p > 400 - p

p + p > 400 → 2p > 400

p > 400 / 2 → p > 200

Demand is inelastic when P.ed < 1

p / (400-p) < 1

p < 400 - p

p + p < 400 → 2p < 400

p < 400 / 2 → p < 200

4 0

3 years ago

what value of b will cause the system to have an infinite number of solutions? y = 6x – b –3x y = –3 b = a:2 b:4 c:6 d:8

bixtya [17]

In order to have an infinite number of solutions, it should be that the two equations are identical. Therefore, I believe the correct answer is option c. The value of b should be 6. Hope this answers the question.

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3 years ago