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3 years ago

An exponentially function is expressed in the form y = axb^x . The relation represents a growth when _ and a decay when _ .

Mathematics

1 answer:

Sergio [31]3 years ago

3 0

Answer:

The relation represents a growth when b>1 and a decay when 0<b<1

Step-by-step explanation:

Any function in the form $f(x)= a(b^x)$ , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 < b < 1. It is an example of an exponential decay. The general shape of an exponential with b > 1 is an example of exponential growth. An exponential function is expressed in the form $y=a(b^x)$ The relation represents a growth when b >1 and a decay when 0<b<1.

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on

jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

If y varies directly with x, then y ∝ x
y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0

3 years ago

In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria

Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0

3 years ago

Read 2 more answers

Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle

pashok25 [27]

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.

$\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
2(30)=B\implies \blacktriangleright 60=B \blacktriangleleft$

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3 years ago

BRT,DBF,HIL,NPR,.....

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2 years ago

Katie cut out a rectangular piece of wrapping paper that was 2 times as long and 3 times as wide as the box that she was wrappin

kotegsom [21]

2*5=10 (the measure of one long side is 10)
3*4=12 (the measure of one wide side is 12)

A box has four sides to the perimeter of the flat wrapping paper must consist of four edges. Because we know that one edge is 10 inches long and another side is 12 inches wide we assume that the corresponding sides are equal.

So now we know that we have two sides that are 10 inches and 2 sides that are 12 inches.

10+10+12+12= 44 inches

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3 years ago