So, firstly, in order for us to know how much is each baseball card pack, we divide 12 dollars by 4 and we get 3. Therefore, each baseball card pack costs $3. So for 21 dollars, he can purchase 7 baseball card packs. 21 divided by 3 is 7. Hope this answers your question. Have a great day!

3 0

3 years ago

Helppp - find the area of each figure & round to the nearest tenth

Karo-lina-s [1.5K]

Answer:

112 ft

Step-by-step explanation:

9) Here, we are finding the area of a triangle. The equation for area is:

$A = \frac{1}{2} *b*h$

Where A is area, b is the base, and h is height.

$A = \frac{1}{2} * 16 * 14$

$A = 112$

5 0

2 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

nalin [4]

First we have to find the derivative of the function:
f ` ( x ) = ( ln x / x^6 ) ` =
= $\frac{ \frac{1}{x} x^{6}- 6 x^{5}ln x }{ x^{12} } = \\ \frac{ x^{5}(1-6lnx) }{ x^{12} }= \\ \frac{1-6lnx}{ x^{7} }$
The critical point is when f ` ( x ) = 0
1 - 6 ln x = 0
6 ln x = 1
ln x = 1/6
$x = \sqrt[6]{e}$
f ( e^(1/6)) = e^(-1) * 1/6 = 1 / (6 e)
Answer:
$( \sqrt[6]{e}; \frac{1}{6e} )$

7 0

4 years ago

Factor the expression completely<br> 6x²-4x²-16x

kogti [31]

Answer: 2x(x - 8)

6x² - 4x² - 16x

= 2x² - 16x

= 2x(x - 8)

Step-by-step explanation:

3 0

3 years ago

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