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3 years ago

What is the a, b, and r for y=3.6(1.25)^x

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

a=3.6, v=1.25 and r=25%

Step-by-step explanation:

The given exponential function is

$y = 3.6 {(1.25)}^{x}$

We compare to the form:

$y = a{(b)}^{x}$

We have a=3.6, b=1.25

The r is the percentage of increase or decrease.

We realized there is a 25% increase because

$y = 3.6 {(1 + 25\%)}^{x}$

Hence

$r = 25\%$

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A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel

Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

$x_{Sh} = x_{o} + v_{Sh}\cdot t$

Submarine

$x_{Su} = x_{o}+v_{Su}\cdot t$

Where:

$x_{o}$ - Position of Diego Garcia island, measured in miles.

$x_{Sh}$ , $x_{Su}$ - Current positions of ship and submarine, measured in miles.

$v_{Sh}$ , $v_{Su}$ - Velocities of ship and submarine, measured in miles per hour.

$t$ - TIme, measured in hours.

If we know that $x_{Sh} - x_{Su} = 241\,mi$ , $v_{Sh} = 19\,\frac{mi}{h}$ and $t = 7\,h$ , then:

$x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t$

We clear now the velocity of submarine:

$\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}$

$v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}$

$v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}$

$v_{Su} = -15.429\,\frac{mi}{h}$

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0

3 years ago

-1 + n=8(n+6) what does n equal?

Gelneren [198K]

<span>-1 + n=8(n+6)
Use distributive property
-1 + n= 8n + 48
Subtract n from both sides
-1= 7n + 48
Subtract 48 from both sides
-49= 7n
Divide 7 on both sides so that the only thing remaining on the right sides is the varible n.
Final Answer: -7 = n</span>

4 0

3 years ago

Read 2 more answers

Express 7 square as the sum of two consecutive positive numbers.

Alborosie

Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1 = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

3 0

2 years ago

What is the value of 2cos^2(75degrees) - 1?<br> Edge

Vinil7 [7]

Step-by-step explanation:

2(cos 75)(cos75) -1

=2(0.6699) -1

=1.3398-1

=0.3398

3 0

3 years ago

Read 2 more answers

Paul ran 21.7 miles more than Adam last week. Paul ran 37.6 miles. How many miles did Adam run?

professor190 [17]

Answer:

Adam ran 15.9 miles

Step-by-step explanation:

5 0

3 years ago