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Natasha2012 [34]
3 years ago
15

Write 81 as a repeated multiplication of 3s. The write it as a power

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

note that 81 = 9 × 9 and 9 = 3 × 3, hence

81 = 3 × 3 × 3 × 3 ( 3 multiplied by itself 4 times )

This can be expressed in short hand form as

81 = 3^{4}


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Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with di
IceJOKER [234]

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that <u>1,000 cm cubed = 1 liter </u>

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

6 0
3 years ago
James did not get the PlayStation that he wanted for his birthday, but instead, he got $80. He decided that he will save the $80
Vika [28.1K]
W=14 that’s because 360-80=280 then you have to divide that by 20. And you get 14 weeks.
6 0
3 years ago
A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
Identify the graph of ƒ(x) = x2 + 6x – 7 from the choices below.
torisob [31]

f(x) = x^2 + 6x - 7

y = x^2 + 6x - 7

y = (x - 1)(x + 7)

x + 7 = 0

x = -7

x - 1 = 0

x = 1

The x-intercepts are -7 and 1.

Since the leading coefficient is a positive, the graph will point upwards.

So, the graph of the function is D.

5 0
3 years ago
The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K
GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

M(2, 1) = (x_1, y_1)

P(12, 6) = (x_2, y_2)

m = 3, n = 2

Plug in the necessary values to find the coordinates of K:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{3(12) + 2(2)}{3 + 2}

x = \frac{36 + 4}{5}

x = \frac{40}{5}

x = 8

y = \frac{my_2 + ny_1}{m + n}

y = \frac{3(6) + 2(1)}{3 + 2}

y = \frac{18 + 2}{5}

y = \frac{20}{5}

y = 4

The coordinates of K = (8, 4)

3 0
3 years ago
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