A baseball bat that originally sold for $80 is on sale at a 15% discount. How much is the discount in dollars

For |x| < 1, we have

[tex]1+x+x^2+\cdots=\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}[/tex]

We have |sin(x)| ≤ 1, with equality when x = ± π/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.

So for |sin(x)| < 1, we have

[tex]\sin(x)+\sin^2(x)+\sin^3(x)+\cdots=\dfrac1{1-\sin(x)}-1=\dfrac{\sin(x)}{1-\sin(x)}[/tex]

so the equation is equivalent to

[tex]\dfrac{\sin(x^2-1)}{1-\sin(x^2-1)}=\dfrac{\sin(x)}{1-\sin(x)}[/tex]

One obvious set of solutions occurs when x = x² - 1 :

x² - x - 1 = 0   →   x = (1 ± √(5))/2

i.e. the golden ratio φ ≈ 1.618 and 1 - φ ≈ 0.618.

Answer:5.8

Step-by-step explanation:

Answer:

The answer is fifty eight hundreds. This is because it is the same as 5800.

Step-by-step explanation:

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Answer:

− 22 d − 102

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given  a pair of alternate exterior angle of 4x + 24 and 8x, we are to find the value of x that will make m and n parallel.

Alternate exterior angles are equal, hence;

4x + 24 = 8x

24 = 8x - 4x

24 = 4x

Rearrange

4x = 24

Divide both sides by 4

4x/4 = 24/4

x = 6

Hence the value of x required is 6

Answer:

81 people

Step-by-step explanation:

addition pretty much

Answer:

3(7)

the answer is 21

Step-by-step explanation:

Answer:

the answer is 21.

Answer:

25%

Step-by-step explanation:

18/24 passed that reduces 3/4.

So 1/4 didn't pass

9514 1404 393

Answer:

  g(2a) = 8a

Step-by-step explanation:

Put the argument where the variable is and simplify.

  g(a) = 4a

  g(2a) = 4(2a) = 8a

  g(2a) = 8a

Answer:infinite solution

8(k - 6) + 58 = 2(4k + 5)

⇔ 8k - 48 + 58 = 8k + 10

⇔ 10 = 10

=> infinite solution

Step-by-step explanation:

A

because with b you would be able to get that close of a measurement with a measuring tape c you don't round up that high and D is also too close to 12.5 to not round up

Answer:

B. BC=12, FH=9

Step-by-step explanation:

no clue tbh but it worked

Answer:

y=6

Step-by-step explanation:

add both expressions together. 14y+6. Then set this equal to 90, because this is a 90 degree angle. Solve for y. 84=14y. y=6

Step-by-step explanation:

90= 6y+5+8y+1

14y=84

y=6

Answer:

60°

Step-by-step explanation:

Because of the rule that all triangle's angles must measure to 180°.

So I did...

60+60=120

180-120= 60

Answer

60 degrees

Step-by-step explanation:

A triangle is 180 degrees. So if you add both 60 degrees it would equal 120, substracted by 180 and you'll get 180. Or if you want to go the faster way, remember that a triangle will equal 180.

Answer:

165 customers spent more than $500.

Step-by-step explanation:

If you ment to put $500 for both, then you have to multiply 300 by 55%. This will give you 55% of 300 which is the amount of people that spent more than $500. You multiply them to get your answer.

Answer:

First i need you to tell me the pattern and then i will help you :)

Step-by-step explanation:

-4/1

-1/0

2/1

5/2

8/3

or put then as ratios the same way i am not so sure

Answer:

Do you love me?

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] - 5 \: \: and \: \: 3[/tex]

Look :

[tex] - 5 + 3 = - 2[/tex]

[tex] - 5 \times 3 = - 15[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

-5 and 3

Step-by-step explanation:

because -5 + 3 = -2 and -5 X 3 = -15.

-5 is bigger in -5 + 3 so your answer would be negative.

and for the multiplication on use the sleeping dog - - + you have a negative and a positive so the answer would be negative.  

Answer:

I would put B

Sorry if it's wrong I would have to know what the test is about to answer this

Step-by-step explanation:

Answer:

The inverse function is y=x−24 .

Step-by-step explanation:

Answer:

X-intercept- ( 3/7,0)

Y-intercept- (0,-3)

Step-by-step explanation:

To find the y-intercept(s), substitute in  0 for x and slove for y

y=7(0)-3

simplify y=-3

to find the x-intercept(s), substitute in  0 for y and slove for X  

0=7x-3

rewrite equation- 7x-3=0 and slove

which would equal 3/7

Answer:

I used the y=Mx+b equation because it has a good job showing each of the elements in the equation.

Step-by-step explanation:

The slope is -2/3 so if you add it to (5,1) it would be (3,4) as you just add three and subtract to to the point. I’m going to use for this equation as it is more simple and it gives a good job showing what each element is in the equation. M is the slope, so now we have y= -2/3x +b. To find b, substitute x and y for a point on this line which I will use the point (3,4) for. Now, multiply -2/3 by 3 and you will get -2 after. Now you have 4=-2+b which the answer would be 6.

This is just an example of finding the equation, which form I used, and why.

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

1 is the answer  OR h

Answer:

x = 7 or x = -8

Step-by-step explanation:

3|2x + 1| = 45

Divide both sides by 3.

|2x + 1| = 15

Separate into a compound equation.

2x + 1 = 15 or 2x + 1 = -15

2x = 14 or 2x = -16

x = 7 or x = -8

Answer: A

Step-by-step explanation:

Yer welcome

Answer:

1.5mph

Step-by-step explanation:

Given parameters:

Distance sailed  = [tex]\frac{3}{8}[/tex]miles

Time taken  = [tex]\frac{1}{4}[/tex]hr

Unknown:

 Unit rate of sail in miles hour = ?

Solution:

This is also the speed of the sail. It is the distance divided by time taken.

 Speed  = [tex]\frac{distance}{time}[/tex]  

 Speed  = [tex]\frac{\frac{3}{8} }{\frac{1}{4} }[/tex]  

 Speed  = [tex]\frac{3}{8}[/tex]  x 4 = 1.5mph

Answer: The answer is [tex]h^{-1}(x)=-\frac{7}{2-x}[/tex]

Step-by-step explanation: You meant to say that I was finding the inverse, so to find the inverse, interchange the variables and solve for y.