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3 years ago

Evaluate the following expression. round your answer to two decimal places. log8 2.718

Mathematics

1 answer:

eduard3 years ago

7 0

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

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How can you write the equation for a linear function if you know only two ordered pairs for the function?

dedylja [7]

Answer:

See below

Step-by-step explanation:

We first have to understand the parts of a y=mx+b equation

y=mx+b

m: Is the slope

b: Is the y-intercept

x: is the x part of (x,y)

y: is the y part of(x,y)

So...

if we use an example ordered pair like (1,3)

and a slope of 2

We can plug everything into y=mx+b to get

1=2*3+b which simplifies to b= -5

Now, you can use this concept to fill in the blanks below:

Use the two ordered pairs to find the slope, (m).

Then substitute the slope, and (one set of ordered pairs) into y=mx+b to solve for (b).

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2 years ago

Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

5 0

3 years ago

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(7x7x7x7x7x7x7)-3x-3x-3

Anna71 [15]

Answer:

823516

Step-by-step explanation:

hope this helps

8 0

3 years ago

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Which expression is equivalent to 3y+4+y

Colt1911 [192]

The answer to this question is 4y+4

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3 years ago

Jenna has a savings account invested in stocks and bonds. 20% of her savings is in bonds. If Jenna has $2,200 in bonds, how much

VladimirAG [237]

Answer: Her total savings are equal to $11,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation.

The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.

Mathematically speaking:

x (20/100) = 2,200

Solving for x:

x = 2,200/ 0.2

x = $11,000

Her total savings are equal to $11,000.

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago