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4 years ago

15% of $9 is $______

Mathematics

2 answers:

natali 33 [55]4 years ago

6 0

Answer: 9 times .15=1.35

15% of $9 is 1.35

Step-by-step explanation:

Leona [35]4 years ago

4 0

Answer:

$1.35

Step-by-step explanation:

multiply 9 by 15% which relates to .15. so 9×0.15 is $1.35

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Roman55 [17]

Answer:

values of y are

2 1 -1

2 -1 -4

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3 years ago

Solve this problem by using variation of parameters method.<br> y''-y=coshx.

Gekata [30.6K]

$y''-y=0\implies r^2-1=0\implies r=\pm1$
$\implies y_c=C_1e^x+C_2e^{-x}={C^*}_1\underbrace{\cosh x}_{y_1}+{C^*}_2\underbrace{\sinh x}_{y_2}$

For the nonhomogeneous ODE

$y''-y=\underbrace{\cosh x}_{f(x)}$

we're looking for a particular solution of the form

$y_p=u_1y_1+u_2y_2$

where

$u_1=-\displaystyle\int\frac{y_2(x)f(x)}{W(y_1(x),y_2(x))}\,\mathrm dx$
$u_2=\displaystyle\int\frac{y_1(x)f(x)}{W(y_1(x),y_2(x))}\,\mathrm dx$

and $W(y_1,y_2)$ is the Wronskian of the two fundamental solutions.

We have

$W(y_1,y_2)=\begin{vmatrix}\cosh x&\sinh x\\\sinh x&\cosh x\end{vmatrix}=\cosh^2x-\sinh^2x=1$

so we're left with

$u_1=-\displaystyle\int\sinh x\cosh x\,\mathrm dx=-\dfrac12\cosh^2x$
$u_2=\displaystyle\int\cosh^2x\,\mathrm dx=\dfrac12x+\dfrac14\sinh2x$

so that the particular solution is

$y_p=-\dfrac12\cosh^3x+\dfrac12x\sinh x+\dfrac14\sinh x\sinh2x$
$y_p=-\dfrac12\cosh x+\dfrac12x\sinh x$

As $y_1$ already accounts for the $\cosh x$ term in $y_p$ , we're left with the general solution

$y=C_1\cosh x+C_2\sinh x+\dfrac12x\sinh x$

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3 years ago

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Softa [21]

Hi!

<h3>The equation of point slope form is</h3>

We need to find s and b

s = slope

b = y intercept

-------------------------------

<h3>To find the slope, use this formula. </h3>

$\frac{y2-y1}{x2-x1}$

Put in the values.

$\frac{-8-(-10)}{-6-(-7)} = \frac{2}{1}simplify = 2$

The slope is 2.

------------------------------------

<h3>Now we need to find the y intercept. Put in a point, and solve for b. </h3>

-8 = 2 * -6 + b

-8 = -12 + b

4 = b

The y intercept is 4.

<h2>The answer y = 2x + 4</h2>

Hope this helps! :)

-Peredhel

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3 years ago

What is the measure of angle K? (5x+10) (6x-1)

frutty [35]

30x2 - 5x + 60x - 10
30x2 + 55x -10

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4 years ago

Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220

Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

6 0

4 years ago

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