The table shows the minutes students spent studying for their history exam and the scores they received.

Find the 11th term of the geometric sequence 6, -18, 54,

horsena [70]

Answer:

354294

Step-by-step explanation:

a₁ = 6 = 6 * (-3)⁰

a₂ = -18 = 6 * (-3)¹

a₃ = 54 = -18 * (-3) = 6 * (-3)²

a₁₁ = 6 * (-3)¹⁰ = 354294

8 0

2 years ago

Challenge A gold mine has two elevators, one for equipment and another for the miners. The

OLEGan [10]

Step-by-step explanation:

The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface

ii. The miners elevator is deeper than that of the equipment.

The speed of an object is the rate at which the object moves.

i.e speed = \frac{distance}{time}

time

distance

Thus,

Speed of the equipment elevator = 4 feet per second

Speed of the miners elevator = 15 feet per second.

Time of descent of the equipment elevator = 30 + 14

= 44 seconds

So that, the distance of the elevator at this time is;

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 4 x 44

= 176

distance = - 176 feet

The distance of the miners elevator after 14 seconds is:

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 15 x 14

= 210

distance = - 210 feet

Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.

Therefore, the miners elevator is deeper than that of the equipment.

6 0

3 years ago

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same

yuradex [85]

Answer:

the answer is 200cm^3

explication

6 0

2 years ago

Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. H

andrey2020 [161]

Answer:

We'll be making 35 liters of 19% glucose.

How much of a 15% solution and a 35% solution do we mix in order to get 35 liters of a 19% glucose solution?

X = liters of 15% and Y = liters of 35%

(.15 X + .35 Y) / 35 = .19

The number of Y liters will equal (35 -X) so the equation becomes

(.15 X + .35 *(35-X) ) / 35 = .19

(.15X + 12.25 -.35X) / 35 = .19

(-.20 X / 35) + (12.25 / 35) = .19

(-.20 X / 35) + .35 = .19

(-.20 X / 35) = -.16

-.20X = -5.6

X = 28 liters of 15% and

Y = 7 liters of 35% glucose

Answer is "c" 28 liters

8 0

2 years ago

Anyone know how to do this?

lesya [120]

To solve this, we need to use our trignometric functions;

⇒ look at the diagram attached

Let's examine what the problem wants:

hypotenuse (longest side) of the triangle

Let's examine what the problem gives us:

side adjacent to the 45-degree angle
angle that has measure of 45-degrees

Let's solve:

$sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07$

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

6 0

2 years ago

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