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stich3 [128]
3 years ago
9

A giant and a dragon live next door to each other. The giant's house is 23 meters tall. His house is 35 meters shorter than the

dragon's house.
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0
The answer is
The dragon’s house is 58 meters tall
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1. Rich wants to buy a coat priced at x dollars. It is on sale for 20% off. He must
alexandr1967 [171]

Answer: x-0.20x+0.0725x

Step-by-step explanation:

Let x be the price. 20% (0.20) 7.25% (0.0725)

x-0.20x+0.0725x

6 0
2 years ago
Find an explicit formula for the geometric sequence -40,-20,-10......
garik1379 [7]

Answer:

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

c(n) = c_{1}\cdot r^{n-1}, n \ge 1 (1)

Where:

c_{1} - First term.

r - Geometric rate.

n - Position of the element within the series.

If we know that c_{1} = -40 and r = \frac{1}{2}, then the explicit formula for the geometric sequence is:

c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

3 0
3 years ago
63<br> 72<br> =<br> 35<br> x<br><br> 6372=35x
Greeley [361]
If the question is 6,372= 35x and you were solving for x the answer would be found by dividing 6372 by 35. this would leave you with 182.1=x
7 0
2 years ago
The three vertices of △ABC are in quadrant I. If △ABC is reflected in the x-axis, its image will lie in quadrant
Kipish [7]

The three vertices of △ABC are in quadrant I. If △ABC is reflected in the x-axis, its image will lie in quadrant IV

Hope it helps

7 0
3 years ago
Read 2 more answers
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 t<span>he 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.
</span>
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.

<span>The tree is initially 2 ft tall

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

</span>f(0)=301+29^{-0.5(0)}=301+1=302ft
<span>
<span>So, the tree is initially \boxed{302ft} tall.
</span>
Therefore this statement is false.

</span>Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:

</span>f(5)=301+29^{-0.5(5)}=301ft<span>

</span>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.

<span>After growing 15 ft, the tree's rate of growth decreases.</span>

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. 


4 0
2 years ago
Read 2 more answers
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