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3 years ago

Given the following exponential function, identify whether the change represents

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

54.7%

Step-by-step explanation:

Given the function :

y=2700(0.453)

y represents an exponential Decay function because :

For a growth function ; the function :

y = A(1 + r) where, A is the initial amount and r = growth rate

With this function ; the value in bracket will always be greater Than 1

Hence, when the value after the initial value is less than 1 ; then we have an exponential Decay ;

Where

y = A(1 - r)

Hence, rate, r equals :

1 - r = 0.453

1 - 0.453 = r

r = 0.547

= 0.547 * 100%

= 54.7%

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Eve's cell phone plan allows her to send up to 125 text messages per month. If she sent 90 texts so far. What precent of her mon

Basile [38]

Answer:

72%

Step-by-step explanation:

6 0

3 years ago

Sec B cot B = sec B csc B cot B tan B

irinina [24]

Given:
tan(B/2) = sec(B) / (sec(B) * csc(B) + csc(B)) 

Apply the half angle formula to convert tan(B/2) to terms of B: 
sin(B) / (1+cos(B)) = sec(B) / (sec(B) * csc(B) + csc(B)) 

Convert everything else to be in terms of sin and cos: 
sin(B) / (1+cos(B) = (1/cos(B)) / ((1/cos(B)) * (1/sin(B)) + (1/sin(B))) 

Multiply right side by "sin(B)/sin(B)" to simplify the fractions: 
sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + 1) 

Change "1" to cos(B)/cos(B) and then combine over 
common denominator: 
sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + cos(B)/cos(B)) 
sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1+cos(B))/cos(B)) 

Dividing by a fraction equals multiplying by its reciprocal: 
sin(B) / (1+cos(B) = (sin(B)/cos(B)) * (cos(B) / (1+cos(B))) 

Multiply terms on the right side (canceling cos(B) terms): 
sin(B) / (1+cos(B) = sin(B) / (1+cos(B))

6 0

4 years ago

Read 2 more answers

1. Solve. 3(h – 4) = –1/2(24 – 6h) 2. Solve for x. ax + bx = –c

Naddik [55]

ANSWER TO QUESTION 1

$3(h-4) = - \frac{1}{2} (24 - 6h)$

We multiply through by the Least Common Multiple which is 2.

$2 \times 3(h-4) = - 2 \times \frac{1}{2} (24 - 6h)$

$6(h - 4) = - 1(24 - 6h)$

We expand brackets to obtain,

$6h - 24 = - 24 + 6h$

Grouping like terms, have

$6h - 6h = - 24 + 24$

$\Rightarrow 0 = 0$

Whenever you solve an equation and you get the above result, you don't have to get confuse.

It simply means the question does not have a UNIQUE solution.

That any real number will number will satisfy the above equation.

Hence,

$h \in R$

ANSWER TO QUESTION 2

$ax + bx = - c$

We factor x to obtain;

$x(a + b) = - c$

We divide both sides by (a+b)

$x = - \frac{ c}{a + b}$

3 0

3 years ago

Which factors of −14 are used to factor x2+5x−14?

mario62 [17]

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

7 0

3 years ago

A manufacturer of batteries knows that 10% of the batteries produced by a particular production line are defective. A sample of

defon

I think you need only an answer without expanation so let's start.
a) $P = \frac{200!}{180!x20!} * 0,1^{20}*0,9^{180} = 0.093636$
b) $Probability = 0.5 + \frac{1}{2} (0.093636) = 0.54682$

5 0

4 years ago