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vredina [299]
3 years ago
8

six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Lesl

ie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

The pair that performs second are Orville and Nancy.

Step-by-step explanation:

Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly.  Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.

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skad [1K]
Angle m and n are 76 P Q and R are 60
7 0
3 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
Average rate of change of the functions? (easy)
Veronika [31]

Answer:

1. 4:105

2. 12.5:1.7

3. 12:65

7 0
3 years ago
Read 2 more answers
duane and mick are saving their money to build a treehouse. duane adds $5 to their piggy bank every other week. mick adds $2 eve
levacccp [35]
10 weeks is the number of weeks they have been saving their money.

Duane = $5 every two weeks
Mick = $2 every week.

Get the value of Duane's weekly contribution = $5 / 2 = $2.5

Duane's share + Mick's share = $45
$2.5x  + $2.0x = $45   ===>> equation can also be x(2.5 + 2) = 45
$4.5x = $45
$4.5x / $4.5 = $45 / $4.5
x = 10 weeks.

To check:

$2.5(10) + $2(10) = $45
$25 + $20 = $45
<span>$45 = $45</span>
5 0
3 years ago
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If f(x) = x2 + 6, find f(-2).
Firlakuza [10]

Answer:

f(- 2) = 10

Step-by-step explanation:

Substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 6 = 4 + 6 = 10

4 0
3 years ago
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