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Harlamova29_29 [7]
3 years ago
10

The toll on a bridge is $ 1.00 for cars and $ 2.50 for trucks. In one hour, a toll operator raises a total of $ 105 in tolls. Wr

ite an equation that represents the relationship between the number of cars, c, and the number of trucks, L, that could have gone through this toll.
Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer: the equation representing the relationship between c and L is

c + 2.5L = 105

Step-by-step explanation:

Let c represent the number of cars that could have gone through the toll.

Let L represent the number of trucks that could have gone through the toll.

The toll on a bridge is $ 1.00 for cars and $ 2.50 for trucks. In one hour, a toll operator raises a total of $ 105 in tolls. Therefore, the equation representing the relationship between c and L would be

c + 2.5L = 105

Gnoma [55]3 years ago
4 0

Answer:

1c+2.5L=105

step by step

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For a parabola with a minimum point at (3,-1), determine the equation for the function's axis of symmetry
algol [13]

Answer:

x=3

(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)

Step-by-step explanation:

Parabolas have a axis of symmetry; this is the line they are symmetrical about.  

The line of symmetry will always go through the vertex.

Since your question says it is a function the line will be vertical and will be of the form x=a number.

The number is determine by the x-coordinate of the vertex.

I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph.  The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).

So the axis of symmetry is just:

x=3.

You must actually write x=3.

3 is not the answer.

x=3 is the answer.

Little note down here:

(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)

8 0
3 years ago
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A heated piece of metal cools according to the function c(x) = (.5)^x − 11, where x is measured in hours. A device is added that
Goryan [66]

Answer:

The temperature of metal after five years =  -18.96875

Step-by-step explanation:

Given : Function c(x) = (0.5)^x-11

where x is measured in hours

Another function is added h(x)=-x-3

therefore, the resultant function f(x)=h(x)+c(x)

f(x) = (0.5)^x-11-x-3

For x=5

f(5) = (0.5)^5-11-5-3

f(5) = (0.03125)-19

f(5) = -18.96875

Therefore, The temperature of metal after five years = -18.96875

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B im sure is the correct answer.
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What is The “Big Stick Diplomacy"
liberstina [14]

Answer:

"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."

Step-by-step explanation:

(nationalgeographic)

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2 years ago
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Natali5045456 [20]

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.

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