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3 years ago

Elevator is on the 16th floor. It goes up 12 floors, down 7 floors, up 3 floors, and then down 5

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

The elevator stops on the 19th floor.

Step-by-step explanation:

On the 16th floor, goes up 12 floors:

16 + 12 = 28

On the 28th floor, goes down 7 floors:

28 - 7 = 21

On the 21st floor, does up 3 floors:

21 + 3 = 24

On the 24th floor, goes down 5 floors:

24 - 5 = 19

You might be interested in

Find a cubic function with the given zeros.

Fed [463]

Answer:

The correct option is D) $f(x) = x^3 + 2x^2 - 2x - 4$ .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x + 4$ .

$f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 + 2x - 4$ .

$f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 - 2x^2 - 2x - 4$ .

$f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0$

Now check for other roots as well.

Substitute x=√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0$

Substitute x=-√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0$

Therefore, the option is correct.

8 0

3 years ago

If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in

satela [25.4K]

Answer:

(11 ft)³

Step-by-step explanation:

Given the shape is a cube, all of its sides are the same.

The formula for the volume of a cube is V = s³ where "s" represents the edge length.

Substitute "s" for 11 ft.

V = s³

V = (11 ft)³

In exponential form, do not solve for the volume. Leave the expression as

(11 ft)³

Without the units, the answer is 11³

3 0

3 years ago

Shirley benson works for levityskool assembling toys. she is paid $2.20 for each item she assembles. how much does she earn for

Natalka [10]

She earns 2.2*278=611.60$

3 0

3 years ago

Read 2 more answers

Can someone pls do these quick

balu736 [363]

Answer:

6. x° is approximately 21.04°

7. x° is approximately 39.56°

8. x° is approximately 58.03°

9. x° is approximately 72.85°

Step-by-step explanation:

6. In the given right triangle (a triangle with the measure of one of the interior angles equal to 90°, indicated by the small square between two sides) , we have;

The hypotenuse side length = 15

The adjacent side to the given reference angle, x° = 14

By trigonometric ratio, we have;

$cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}$

$\therefore cos(x^{\circ}) = \dfrac{14}{15}$

To find the value of x°, we make use of the inverse cosine function, arccos found on a scientific calculator, as follows;

x° = arccos(14/15) ≈ 21.04°

x° ≈ 21.04°

7. In the given right triangle, we have;

The length of the opposite side to the given reference angle, x° = 19

The length of the adjacent side to the given reference angle, x° = 23

By trigonometric ratios, we have;

$Tan(\angle X) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}$

$\therefore tan(x^{\circ}) = \dfrac{19}{23}$

Therefore;

x° = arctan(19/23) ≈ 39.56°

x° ≈ 39.56°

8. In the given right triangle, the adjacent side to the reference angle, x° and the hypotenuse side are given, therefore, we have;

x° = arccos(9/17) ≈ 58.03°

x° ≈ 58.03°

9. The opposite side to the reference angle and the hypotenuse side are given

By trigonometric ratio, we have;

$sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

$\therefore sin(x^{\circ}) = \dfrac{43}{45}$

x° = arcsin(43/45) ≈ 72.85°

x° ≈ 72.85°.

6 0

3 years ago

13 R S 12 What's the length of QR? A) 1 B) 17.7 C) 6.7 OD) 5

ANEK [815]

Answer:

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

QR^2 + 12^2 = 13^2

QR^2 +144 =169

QR^2 = 169-144

QR^2 =25

Take the square root of each side

QR = sqrt(25)

QR =5

8 0

3 years ago