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Art [367]
3 years ago
14

Find the value f(t)=2(0.4)^t f(-2)=?

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

f(t) = 2(0.4)^t

F(-2) means to replace t with -2:

f(-2) = 2(0.4)^-2

f(-2) = 12.5

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Reptile [31]

Answer:

Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions.

Step-by-step explanation:

8 0
3 years ago
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0
3 years ago
Which of the following inequalities is graphed above?
kobusy [5.1K]

Answer:

1st option

y=-3/8x+3

6 0
3 years ago
Choose the missing step in the given solution to the inequality -2x-14>-4+3x
Komok [63]

Answer:

x

Step-by-step explanation:

The given inequality is

-2x-14>-4+3x

We need to solve the above inequality.

Step 1: Given inequality.

-2x-14>-4+3x

Step 2: Add 14 on both sides.

-2x-14+14>-4+3x+14

-2x>10+3x

Step 3: Subtract 3x from both sides.

-2x-3x>10+3x-3x

-5x>10

Step 4: Divide both sides by -5. If an inequality is multiplied or divided by a negative number then the sign of inequality will change.

\frac{-5x}{-5}  

x

Therefore, the solution of given inequality is x.

6 0
3 years ago
Read 2 more answers
7)
Llana [10]

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft

<em>Hence the height of the 65th floor is 789feets.</em>

4 0
3 years ago
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