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poizon [28]
3 years ago
6

The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drive

s around the curve. He never drives above the speed limit. At what speed was Mr. Gerard driving before the curve? Please write your inequality.
Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

x ≤ 25mph

Step-by-step explanation:

Given that :

Speed limit drops to 15 miles per hour at curve

Driver slows down by 10 miles per hour as he drives around the curve

The driver's speed before reaching the curve is :

Let speed befure curve = x

Lowest speed before curve = 15 +. 10 = 25 mph

x ≤ 25mph

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Help pls for 100 points!!!
Rus_ich [418]

Answer:

x\leq 9

Step-by-step explanation:

Subtract 7 From both sides

x+7-7\le \:16-7

      7-7 = 0,  16 - 7=9

That leaves  x \leq  9

Hope this helps

~R3V0

8 0
3 years ago
Read 2 more answers
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10
WINSTONCH [101]

Answer:

The function for the outside temperature is represented by T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

A = \frac{100\º-70\º}{2}

A = 15\º

Mean temperature

\bar T = \frac{70\º+100\º}{2}

\bar T = 85\º

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]

Where:

\bar T - Mean temperature, measured in degrees.

A - Amplitude, measured in degrees.

\tau - Daily period, measured in hours.

t - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If \bar T = 85\º, A = 15\º and \tau = 24\,h, the resulting function for the outside temperature is:

T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]

3 0
3 years ago
Find the missing lengths of the sides.
Sati [7]

Answer:

sin 30°=8/c

1/2=8/c

c=16.

tan 60°=b/8

√3=b/8

b=8√3.

4 0
3 years ago
If a job can be completed in 4 hours, then the rate of work is ____ of the job per hour
Nataly_w [17]
It would be equal to 1/4.
8 0
3 years ago
If a certain trip takes 40 minutes when you travel 50 miles per hour, how many minutes would it take if you travel 40 miles per
vitfil [10]

Answer:

It would take 50 minutes

Step-by-step explanation:

<u>Distance, velocity and time</u>

The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by

\displaystyle v=\frac{x}{t}

We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation

x=vt

The given time is expressed in minutes, we need to convert it to hours. 40 minutes is \frac{40}{60}=0.6666...\ hours. The distance is

\displaystyle x=(50)(0.666..)=33.33\ miles

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\displaystyle t=\frac{x}{v}

t=\frac{33.33}{40}=0.8333\ hours = 0.83333*60= 50\ minutes

4 0
3 years ago
Read 2 more answers
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