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Sergio [31]
3 years ago
13

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25,

where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation
Mathematics
2 answers:
Radda [10]3 years ago
8 0
The domain will be the integer numbers between 8 and 12 using the limits in other words 8 ≤ u ≤ 12

this is considering every player will bought only one uniform for the season
grin007 [14]3 years ago
5 0

Answer:

The domain of the function is 8\leq u\leq 12

Step-by-step explanation:

Given : The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought.

If there are at least 8 players but not more than 12 players on the volleyball team.

To find : What is the domain of the function for this situation ?

Solution :

The total cost in dollars  c= 34.95u +6.25

Where, u is the number of uniforms bought.

Now, The number of uniforms bought depend on the number of players.

We have given that, there are at least 8 players but not more than 12 players on the volleyball team.

i.e, The number of players are between 8 to 12.

So, The domain of the function is 8\leq u\leq 12

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The dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour.convert this speed to ines per minute
DaniilM [7]

<h3>52.68 feet per hour = 10.536 inches per minutes</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

1 ~ foot = 30.48 ~ cm

1 ~ inch = 2.54 ~ cm

1 ~ foot = 12 ~ inches

\boxed {52.68 ~ feet = 52.68 \times 12 ~ inches = 632.16 ~ inches}

1 ~ day = 24 ~ hours

\boxed {1 ~ hour = 60 ~ minutes}

If the dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour , then :

52.68 ~ feet/h = \frac{52.68 ~ feet}{1 ~ hour}

52.68 ~ feet/h = \frac{52.68 \times 12 ~ inches}{60 ~ minutes}

52.68 ~ feet/h = \frac{632.16 ~ inches}{60 ~ minutes}

\large {\boxed {52.68 ~ feet/h = 10.536 ~ inches/min} }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
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<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

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4 years ago
In 2010 the estimated population was 2.7 times 10 to the 6 people. That population of Illinois that same year was about 4.76 tim
Keith_Richards [23]

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8 0
3 years ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
Helpcppdpdppd nessxbshzj
aleksley [76]
Pretty sure it’s “b= p/2 - a” which is the second answer
7 0
3 years ago
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On a 15 hour trip, Rob drove 35% of the time and Mark drove the remainder of the time. How many hours did Mark drive? Explain 9.
Zigmanuir [339]

Answer:

9.75 hours

Step-by-step explanation:

If Rob drove 35% of the time and Mark drove the remainder of the time, the total is 100 %

100-35 = 65

so Mark drove 65% of the time

The total time driven was 15 hours, so we multiply the total time driven by the percentage of time that Mark drove to find the number of hours that Mark drove.

15 * 65%

15*.65

9.75 hours

7 0
3 years ago
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