Which of the following would be an acceptable first step in simplifying the expression:

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

The correct answer is tanx(1-secx)/(1+secx)(1-secx)

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How does a digit in the ten thousands place compare to a digit in the thousands place?

svetlana [45]

The digits in the ten-thousands place is 10,000 times the value of a digit, right? For example, 10,000 is 10,000 times 1, and one is a mere digit. The thousands place follows the same rule, with 1,000 being 1,000 times 1. Ergo, when compared, you could think of it as 10,000/1,000 = 10. We can think of this as a digit in the ten-thousands place is 10 times the value of the same digit in the thousands place.

8 0

3 years ago

Please help me out..

sdas [7]

Answer:

x=41

y=139

Step-by-step explanation:

x+y = 180 since they form a straight line

y is 3x +16

y = 3x +16

Replace y in the first equation

x+3x +16 = 180

Combine like terms

4x +16 = 180

Subtract 16 from each side

4x+16-16 =180-16

4x =164

Divide each side by 4

4x/4 =164/4

x = 41

y = 3x +16

y = 3*41 +16 = 123+16 =139

5 0

3 years ago

The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the

Karo-lina-s [1.5K]

Given this equation:

$f(x)=301+29^{-0.5x}$

That represents the height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.

The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

 $f(0)=301+29^{-0.5(0)}=301+1=302ft$

So, the tree is initially $\boxed{302ft}$ tall.

Therefore this statement is false.

Between the 5th and 7th years, the tree grows approximately 7 ft.

if x = 5 then:

 $f(5)=301+29^{-0.5(5)}=301ft$ 

if x = 7 then:

$f(7)=301+29e^{0.5(7)}=301ft$

So, between the 5th and 7th years the height of the tree remains constant
:
$\Delta=f(7)-f(5)=301-301=0ft$

This is also a false statement.

After growing 15 ft, the tree's rate of growth decreases.

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term $29^{-\infty}$ approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow.