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stealth61 [152]
2 years ago
10

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Part A Let m = the

number of miles Mr. Parker drives for the day. Write an expression that shows the amount he will pay for the van
Mathematics
1 answer:
Xelga [282]2 years ago
6 0

Answer:

The expression for the amount Mr. Parker will pay for the van be

x = 50 + 0.35m

Step-by-step explanation:

Let us assume that the  amount Mr. Parker will pay for the van be x.

As given

Mr. Parker wants to rent a cargo van for a day.

It will cost the daily fee of $50 plus $0.35 per mile driven.

Let m = the number of miles .

Than the expression for the amount Mr. Parker will pay for the van.

x = 50 + 0.35m

Therefore the expression for the amount Mr. Parker will pay for the van be

x = 50 + 0.35m


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Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
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Answer:

  8r^4

Step-by-step explanation:

  \sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}

5 0
2 years ago
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
2 years ago
Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati
Aleksandr-060686 [28]

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

plato answer

Step-by-step explanation:

8 0
2 years ago
If the measures of two complimentary angles are 7x and 11x , then find x
Irina18 [472]
As you know that sum of complementary angles equal 90°

so,

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so,
option A is the correct one.
3 0
2 years ago
Read 2 more answers
Solve the differential equation.<br><br> dp/dt = t^2p - p + t^2 - 1
Alborosie
\frac{dp}{dt} = t^2 p - p + t^2 - 1 \Rightarrow \frac{dp}{dt} = p(t^2  - 1)+ 1(t^2 - 1 ) \Rightarrow \\&#10;\\&#10;\frac{dp}{dt} = (p+1)(t^2 - 1)\ \Rightarrow\ \frac{dp}{p+1} = \left(t^2 - 1\right)dt\ \Rightarrow \\ \\&#10;\int \frac{dp}{p+1} =\int \left(t^2 - 1\right)dt\ \Rightarrow \ \ln|p+1| = \frac{1}{3}t^2 - t + C  \ \Rightarrow \\ \\&#10;|p+1| = e^{t^3/3 - t + C}\ \Rightarrow\ p+1 = \pm e^Ce^{t^3/3 - t} \Rightarrow \\ \\&#10;p = Ke^{t^3/3 -t} - 1,\ \text{where $K = \pm e^C$}&#10;

Since p = -1 is also a solution, K can equal 0, and hence, K can be any real number.
7 0
2 years ago
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