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jek_recluse [69]
3 years ago
14

Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry

fee is $15 per vehicle for up to and including 5 people, with an additional $1.50 for each person over 5. Express this information as a piecewise function of x, where x represents the number of people in the vehicle.
10. What is f(0.35)?



11. What is f(-5.2)?



12. What is f(10)?



13. What is f(-0.5)?



14. Express f(x) = |x| as a piecewise function.
Mathematics
1 answer:
Fofino [41]3 years ago
5 0
Ok,
 f(0.35)= 7f/20

f(-5.2)=-26f/5

f(10)= 10f

f(-0.5)= -f/2

as for the last question I am not quite sure, sorry....hope I helped a little :)

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What are the values of the side lengths of a triangle with 45-45-90
dalvyx [7]

Answer:

Looking at the graphic, if a 45-45-90 triangle has a hypotenuse of 1, then each of the side lengths equal 1 / square root (2)

Source: https://www.1728.org/trig2.htm

Step-by-step explanation:


8 0
3 years ago
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Sasha bought three pens malachi bought one how much more money did sasha spend then malachi
Nuetrik [128]
If the cost of one pen is x, the Sasha spend 3x, and Malachi spent 1x.



Sahsa spend 3x - 1x more than Malachi. So, Sasha spent 2x more than Malchi did for a pen.



Just plug in how much a pen costs into x to fi d the numerical answer. :)
4 0
3 years ago
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun
QveST [7]

Answer:

We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 31.7 milligrams

Sample mean, \bar{x} = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s =  2.8 milligrams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}

We use One-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429

Now, t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that  the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0
3 years ago
One lap around a track is one eigth of a mile.a horse ran a distance of 11 laps in 3 minutes and 30 seconds.what is the horses a
pantera1 [17]
Miles earned= ((1÷8)×11)÷1
= 1.375 miles
average speed=total distance/total time
=1.375÷3.5=0.3928 miles/min
5 0
3 years ago
According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa
qwelly [4]
Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760
5 0
3 years ago
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