Ask question

Ask question

All categories

2 years ago

12

1. Which function represents exponential decay?

1 answer:

MatroZZZ [7]2 years ago

7 0

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

$7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}$

$0 < \frac{1}{7} < 1$ , thus, the second option represents exponential decay.

You might be interested in

Can you help me i dont know thw anwser

Margaret [11]

$\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\$

$\text{Hence the area of square 3 is 400 units}^2.$

8 0

2 years ago

Read 2 more answers

HELPPPPPPPPP PLEASE!!! :(

erastovalidia [21]

Answer:

x = 25

Step-by-step explanation:

Given:

∠A = ∠B (Vertically opposite angles)
∠A = (7x - 8)°
∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

$\implies (7x - 8)= (6x + 17)$

Open the parenthesis:

$\implies 7x - 8= 6x + 17$

Add 8 both sides:

$\implies 7x - 8 + 8= 6x + 17 + 8$

Simplify both sides:

$\implies 7x = 6x + 25$

Subtract 6x both sides:

$\implies 7x - 6x = 6x - 6x + 25$

Simplify both sides:

$\implies x = 25$

7 0

1 year ago

Read 2 more answers

True or false? The illustration below is an example of a regular tessellation.

ki77a [65]

Answer: Is True

Step-by-step explanation:

these question is true

4 0

2 years ago

Read 2 more answers

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

2 years ago

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10.20 to spend on a

JulijaS [17]

Answer:13 miles

Step-by-step explanation:10.20-1.75=8.45÷0.65=13

8 0

2 years ago