All categories

2 years ago

Complete the pattern. 3, 9, 27, 81, _, _,Thank you!

Mathematics

1 answer:

fiasKO [112]2 years ago

3 0

Answer:

243 then 729

Step-by-step explanation:

each number is being multipled by 3.

You might be interested in

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= $5+3.5$

= $8.5 \ minutes$

The mean arrival rate will be:

$\lambda =\frac{60}{5}$

$=7.5 \ cabs/hr$

The mean service rate will be:

$\mu= 7.05 \ cabs/hr$

(1)

The average time a cab must wait will be:

⇒ $W_q=22.95-\frac{1}{7.05}$

⇒ $=\frac{161.798-1}{7.05}$

⇒ $=\frac{160.798}{7.05}$

⇒ $=22.81 \ minutes$

(2)

The required probability will be:

⇒ $P(X\geq 6)=\frac{1-2.115}{1-7.5}$

⇒ $=\frac{-1.1115}{-6.5}$

⇒ $=0.171$

6 0

3 years ago

The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

4 years ago

High of the following transformations does not result in a congruent figure

LuckyWell [14K]

Any transformation involving change of scale will not result in a congruent figure. Rotations and reflections and translations maintain congruence.

7 0

4 years ago

State the hypotenuse, opposite and

UkoKoshka [18]

Answer:

hypotenuse:2 (AB)

adjacent side: 1 (AD)

opposite side:√3(BD)

Step-by-step explanation:

-->AB is hypotenuse cuz it's opposite to right angle (90°)

-->AD is adjacent,cuz it's adjacent to reference angle(60°)

-->BD is opposite side,cuz it's opposite to the reference angle(60°)

✌️:)

4 0

3 years ago

12a + 5 minus 8a = negative 1

Rudiy27

Answer:

a is equal to 0.3

Step-by-step explanation:

12a + 5 -8a =-1

(collect like terms)

12a + 8a= -1 -5

20a = -6

a= -6÷20

a= 3÷ 10

a= 0.3

6 0

4 years ago

Complete the pattern. 3, 9, 27, 81, _, _,Thank you!​

Complete the pattern. 3, 9, 27, 81, _, _,Thank you!