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Mathematics

1 answer:

eduard3 years ago

5 0

Answer:

The characteristics of a directly proportional relationship graph: Linear Function. Passes through the origin(root at [independent variable] = 0]) Slope equal to ratio between y and x (y:x or y/x)

Step-by-step explanation:

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Express 5/8 as a percent. 1.40% 2.62.5% 3.58% 4.62%

Drupady [299]

Answer:

the answer is #2-62.5%

Step-by-step explanation:

3 0

3 years ago

What is the sin inverse of (sine 9pi/7)?

Sveta_85 [38]

For the answer to the question above, I've used my calculator to inverse your given equation because my brain can't do that.
The answer to your question is
In radians, arcsin(sin(9π) / 7) = 0.
i hope my answer helped you.

7 0

3 years ago

Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.

marta [7]

Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
      = 1 * 4 dollars
      = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

4 0

3 years ago

Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same n

shutvik [7]

Answer:6. 42 split 7 ways is 6

Step-by-step explanation:

7 0

2 years ago

Please show me how to solve the initial value problem y'=tanx y(pi/4)=3

AlexFokin [52]

The ODE is separable, i.e. you can write

$\dfrac{\mathrm dy}{\mathrm dx}=\tan x\iff\mathrm dy=\tan x\,\mathrm dx$

Integrating both sides gives the general solution.

$\displaystyle\int\mathrm dy=\int\tan x\,\mathrm dx$
$y=-\ln|\cos x|+C$

Given that $y\left(\dfrac\pi4\right)=3$ , we have

$3=-\ln\left|\cos\dfrac\pi4\right|+C$
$3=-\ln\dfrac1{\sqrt2}+C$
$3-\ln\sqrt2=C$

and so the particular solution to the IVP is

$y=-\ln|\cos x|+3-\ln\sqrt2$
$y=3-\ln|\sqrt2\cos x|$

4 0

3 years ago