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3 years ago

Compare each quotient to its dividend.

1 answer:

4 0

<span>42:6=7, the dividend is 42, the quotient is 7
so 42= 6x7
8:1=8, 8=8x1
12= 1x12
generalization
let be a:b=q, so a = bx q, a dividend, q quotient and b the divisor</span>

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Explain to me this thing because I don't know and I have a test on Friday help me please please

scoundrel [369]

You write the equation .75/1=x/100

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3 years ago

Read 2 more answers

Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the fol

Over [174]

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches

7 0

2 years ago

Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4) use slope intercept form

Andrew [12]

Writing the slope-intercept form of a linear equation, we have:

$y=mx+b$

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

$\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}$

So our equation is:

$y=\frac{2}{3}x-4$

y = 2/3x - 4

7 0

1 year ago

I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$

Let's now solve for x.

$\text{sin(42)} = \frac{x}{3}$
$3 \cdot \text{sin(42)} = x$
$\text{sin(42)} \approx 0.67$
$3 \cdot 0.67 \approx 2.01$

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0

2 years ago