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Gennadij [26K]
3 years ago
12

Which function is an example of exponential growth? y = 2(0.3)x y = 1.5(0.4)x y = 3(8)x y = 2(0.7)x

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0
Exponential equation is
y=a(b)ˣ

when b>1, it is growth
when 0>b>1, it is decay

so

we want the 2nd number to be more than 1
that would be the 3rd one, y=3(8)ˣ
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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
3 years ago
Write the word sentence as an inequality. Then solve the inequality.
Agata [3.3K]
The solution is x>18.

The problem tells us that 3 less than a number: x-3
is more than 15. >15
So the inequality is x-3>15. When we isolate x to simply the inequality, we add 3 to both sides, to get x>18. 

Please consider giving brainliest answer and a thanks to the answers you find more helpful! :)
4 0
3 years ago
Read 2 more answers
11. You are asked to put a V-shaped roof on a house. The slope of the roof is 53°. What is the measure of the angle needed at th
Anestetic [448]
The question said that it told you the base angles. A roof would have two equal base angles. The base angles= 53

All the angles of a triangle each 180, (the roof is shaped like a triangle)

So, let's make x the missing angle.

53(2)+x=180

106+x=180

Subtract 106 on both sides.

180-106= 74

The vertex angle is 74.

I hope this helps!
~cupcake
4 0
3 years ago
Read 2 more answers
Evaluate f(x)=x+6 when x=−2,0, and 5.
Gekata [30.6K]

Answer:

f(-2) = 4

f(0) = 6

f(5) = 11

Step-by-step explanation:

You just need to plug in the different values of x into the equation

f(x)=x+6

When x = -2, then f(-2) = -2 + 6 = 4

When x = 0, then f(0) = 0 + 6 = 6

When x = 5, then f(5) = 5 + 6 = 11

6 0
3 years ago
Read 2 more answers
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 20 and DC = 5, what is the length of BC? (Note: the fi
11111nata11111 [884]

Answer:

21.2 or 15 sqrt of 2 (PETHAGOREOM theorem)

Step-by-step explanation:

a^2+b^2=c^2

20^2+5^2=C^2

400+25=C^2

450=C^2

sqrt 450=

15 sqrt of 2 or 21.2

4 0
3 years ago
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