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Ulleksa [173]
2 years ago
13

A three-dimensional printing pen uses heated plastic to create three-dimensional objects. A kit comes with one 3D-printing pen a

nd $p$ packages of plastic. An art club purchases 6 identical kits for $\left(180+58.5p\right)$ dollars. Write an expression that represents the cost of one kit.
Mathematics
1 answer:
GalinKa [24]2 years ago
4 0

Answer:

hello

Step-by-step explanation:

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The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x
Solnce55 [7]
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10

x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b 

2(5) = (4a+2b)2
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 <u>   8 = 16a + 4b
</u>    2 = -8a

a = -0.25

b = 2

y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
8 0
2 years ago
Read 2 more answers
In a large population, 76% of the households own microwaves. A simple random sample of 100 households is to be contacted and the
zzz [600]

Answer:

Mean and standard deviation of the sampling distribution of the sample proportions are 76 and 0.0427 respectively.

Step-by-step explanation:

The mean for a sample proportion is given by μ = np

n = sample size = 100

p = fraction of the sample proportion that have what is being tested = 76% = 0.76

μ = 0.76 × 100 = 76.

Standard deviation of a sample proportion = σ = √[p(1-p)/n] = √(0.76×0.24/100) = 0.0427

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2 years ago
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During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the
uysha [10]

Answer:

76075, 76076, 76077

Step-by-step explanation:

<u>There are 3 teams; Team A, Team B and Team C</u>

<em>Team A has most wins</em>

<em>Team C has least wins</em>

<em>Team B is in between</em>

<u>All these will be consecutive numbers.</u>

<em>Team B: x</em>

<em>Team A: x + 1 (most wins)</em>

<em>Team C: x - 1 (least wins)</em>

<em>Team A + Team B + Team C = Total number of wins</em>

x + x + 1 + x - 1 = 228228

3x = 228228

x = 76076

<em>Wins of Team B : x =</em> 76076

<em>Wins of Team A : x + 1 = 76076 + 1 =</em> 76077

<em>Wins of Team C : x - 1 = 76076 - 1 =</em> 76075

Therefore, in the 2010 season, Team A had 76077 wins, Team B had 76076 wins and Team C had 76075 wins.

!!

6 0
2 years ago
The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H
Lina20 [59]

The arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

<em><u>Explanation</u></em>

The given formula is:   s=V_{0}t-16t^2

If the initial velocity is 96 ft/s , that means  V_{0}=96

For finding the time the arrow takes to reach a height of 48 ft, we will plug s= 48 into the above formula. So......

48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55

So, the arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

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2 years ago
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A musician uploads a music video to the internet and sends a link to the video to 4 friends. Each friend send the link to 4 diff
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If the people who didn't watch it still sent it
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