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Tasya [4]
3 years ago
10

A cab charges 1.45 for the flat fee and 0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can

travel if she has 35 dollars to spend
Mathematics
2 answers:
Tatiana [17]3 years ago
5 0
M = mile

.55m + 1.45 [less than or equal to] 35

subtract 1.45

.55m = 33.55

divide by .55

m = 61 miles or less
Alex787 [66]3 years ago
5 0
Y>ax+b

b: <span>A cab charges 1.45 for the flat fee
a: </span><span>and 0.55 for each mile
x: miles she can travel
y: total money she has (35$)

so: 35>0.55 x + 1.45

solve for x:

0.55 x < 35 - 1.45

x< 61


</span>
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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

P(\infty) = 1200

Step-by-step explanation:

Given

P(t) =\frac{d}{1+ke^-{ct}}

d = 1200\\k = 11\\c=0.2

Solving (a): Fishes at t = 0

This gives:

P(0) =\frac{1200}{1+11*e^-{0.2*0}}

P(0) =\frac{1200}{1+11*e^-{0}}

P(0) =\frac{1200}{1+11*1}

P(0) =\frac{1200}{1+11}

P(0) =\frac{1200}{12}

P(0) = 100

Solving (a): Fishes at t = 10, 20, 30

t = 10

P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

t = 20

P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

t = 30

P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

This implies that:

{t \to \infty} = {e^{-ct} \to 0}

So:

The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

P(\infty) = \frac{1200}{1}

P(\infty) = 1200

5 0
3 years ago
Please help and give explanation
Firlakuza [10]

Answer:

100 mins

Step-by-step explanation:

total no of gallons pool can hold=4500

gallons pool already holds=1500

rate of adding water= 30 gallons per min

time he can continue filing= 4500-1500/30

=3000/30

=100 minutes (m value)

correct me if I'm wrong appreciate me if I'm good

8 0
3 years ago
At 6,000 calories a day, a person with genotype X will weigh 285 lbs with much energy and high cholesterol levels. At 3,500 calo
kkurt [141]

Answer: norm of reaction

Step-by-step explanation:

norm of a reaction which is the capacity of a genotype to produce different phenotypes in response to the environment. The group of phenotypic expressions under different environmental conditions. A organism can own all the genetic complements necessary to fully development. However, if there is no suitable nutricion, the development does not occur. The environment only changes the phenotypic characteristics within certain limits ruled by the genotype (norm of reaction). The genotype do not determine a phenotypes, but a amount of possible phenotypes, a norm of reaction. A certain phenotype will  materialize itself depending on the interaction of a certain genotype with the environment.

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3 years ago
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I am Lyosha [343]

Answer:

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Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

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<h3>ΔABC</h3>

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

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  • largest angle: C
<h3>ΔDEF</h3>

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

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The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

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<em>Additional comment</em>

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there <em>cannot be two angles in a triangle such that the smaller angle has the larger sine</em>.

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2 years ago
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So 3 in every 10 would make it because 30% equals 3/10 and since there are 50 that would be 5 sets of 10. Thus 3*5=15. You would make 15 shots
4 0
3 years ago
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