All categories

3 years ago

Miles

Mathematics

1 answer:

TEA [102]3 years ago

8 0

Answer:

this is easy it is 23 miles per every 35 housrs

Step-by-step explanation:

You might be interested in

Which of the following is(are) the solution(s) to %+3)=12?

MAVERICK [17]

Answer:

if by % this sign you mean x then

x=9

Step-by-step explanation:

x+3=12

x=12-3

x=9

6 0

3 years ago

Which statement best describes f(x)=-2sqrtx-7+1

ruslelena [56]

Answer:

Step-by-step explanation:

the 3 statement is true

4 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

Let f(x)=3x^2+5 . The quadratic function g(x) is f(x) translated 3 units up. Enter the equation for g(x) in the box. g(x) =

Phantasy [73]

Answer: $g(x)=3x^2+8$

Step-by-step explanation:

There are some transformations for a function $f(x)$ . Two of those transformations are:

1. If $f(x)+k$ , then the function is translated "k" units up.

2. If $f(x)-k$ , then the function is translated "k" units down.

In this case, you have the following Quadratic function $f(x)$ given in the exercise:

$f(x)=3x^2+5$

According to the information given, the function $g(x)$ is obtained by translating the Quadratic function $f(x)$ 3 units up. Based on this, you can identify that the transformation is the following:

$f(x)+k$

Where $k=3$

Therefore, you can determine that:

$g(x)=f(x)+3=3x^2+5+3\\\\g(x)=3x^2+8$

7 0

3 years ago

Which of the following values completes the square or creates a perfect square trinomial for x^2-12x+___

9966 [12]

Answer:

So, 36 completes perfect square

Step-by-step explanation:

we are given

trinomial as

$x^2-12x+......$

we can square formula

$a^2-2ab+b^2=(a-b)$

we can see that middle term is 2ab

so, we will factor middle term in 2ab form

$12x=2\times x\times 6$

We can see that b is 6

so, if we could add 6^2 , then we will get perfect square

$x^2-12x+6^2......$

$x^2-12x+36......$

So, we should add 36

so, 36......Answer

3 0

3 years ago

Read 2 more answers