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3 years ago

Find the next three terms of the sequence 80, –160, 320, –640, . . .

Mathematics

2 answers:

posledela3 years ago

8 0

1280, -2560, 5120

Multiply the preceding term by -2 and

liraira [26]3 years ago

5 0

Each term is multiplied by -2 to get the next term.

The next numbers would be 1,280, -2560, and 5120.

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What is the exact volume of the cone

Travka [436]

Answer:

V = $\frac{400}{3}$ $\pi$

Step-by-step explanation:

Volume of a cone is:

$V = \pi r^{2} \frac{h}{3}$

Substitute values given:

$V = \pi (5^{2} )(\frac{16}{3})$

$V = \pi (25)(\frac{16}{3} )$

V = $\pi \frac{400}{3}$

V = $\frac{400}{3}$ $\pi$

5 0

2 years ago

Solve for m. -5m = -35 m = ?

IgorLugansk [536]

-5m = -35

-5m/-5 = -35/-5

m = 7

Answer: m = 7

6 0

3 years ago

Read 2 more answers

Does anyone know a quick method to divide a whole number with a decimal

alina1380 [7]

<h2>Answer_use this method </h2>

$d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})}$

where

d=is the given decimal
k=is the number of terminating digits
p=is the number of repeating digits

Step-by-step explanation:

Greetings !

use the above formula to change any decimal into fraction form

Thus, plug in the value and solve

Hope it helps !

8 0

1 year ago

Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ? This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0

2 years ago

Systems of equations with different slopes and different y-intercepts have more than one solution.

FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

7 0

2 years ago