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sladkih [1.3K]
3 years ago
8

A florist has 5 tulips, 15 carnations and 25 roses. If the florist wants to create identical bouquets without any leftover flowe

rs, what is the greatest number of bouquets the florist can make
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0
5 because these numbers are all equally divisible. 
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Joey buys a home for $263,000. His home is predicted to increase in value 5% each year.
ipn [44]

Answer:

$890,611.35   :)

Step-by-step explanation:

First, we determine the equation.

Y=263,000(1+0.05)^{x}

890,611.35

7 0
3 years ago
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The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
What IS 23443x/3.14159
mamaluj [8]

Answer:

7462.14496x

Step-by-step explanation:

7 0
3 years ago
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What are the greatest common factors of 51 and 85
rusak2 [61]
Greatest\ common\ factor\ is\ the\ highest\ number\ by\ which\ 51\ and\ 85\\
can\ be\ divided\\\\ 
51:51\\\\
85:5\\
17:17\\\\GCF=1\\\\Greatest\ common\ factor\ of\ 51\ and\ 85\ is\ equal\ to\ 1.

6 0
3 years ago
Plsss help me :( ASAP
Alex17521 [72]

Answer:

61.66

Step-by-step explanation:

1. Multiply

2. divide

5 0
3 years ago
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