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Komok [63]
2 years ago
5

You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situatio

n and find the domain and range of the function.
Mathematics
2 answers:
creativ13 [48]2 years ago
6 0

Answer:

[y = -55x + 330]  

Domain: [0, 6]

Range: [0, 330]

Mars2501 [29]2 years ago
3 0
Okay, I just know the answer not the range:

330 divided by 55 is 6. It would take 6 hours.
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The newest invention of the 6.431x staff is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2
Gwar [14]

Answer:

<h2>The answer is 0.23(approx).</h2>

Step-by-step explanation:

The given die is a three sided die, hence, there are only three possibilities of getting the outcomes.

We need to find the probability of getting exactly 3s as the result.

From the sequence of 6 independent rolls, 2 rolls can be chosen in ^6C_2 = \frac{6!}{2!\times4!} = \frac{30}{2} = 15 ways.

The probability of getting two 3 as outcome is \frac{1}{4} \times\frac{1}{4} = \frac{1}{16}.

In the rest of the 4 sequences, will not be any 3 as outcome.

Probability of not getting a outcome rather than 3 is 1 - \frac{1}{4} = \frac{3}{4}.

Hence, the required probability is 15\times\frac{1}{16}(\frac{3}{4})^4 = \frac{1215}{4096}≅0.2966 or, 0.23.

4 0
2 years ago
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probabili
Kisachek [45]
Animal shelter in Austin is a dog is 11.71% and <span>a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is</span> 29.38%. 
8 0
1 year ago
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A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular veloci
Gemiola [76]

Answer:

t = 1.57 sec

distance, d = 98.65 mm

Step-by-step explanation:

Given an angle of 540°

At 6 revolutions per second, which is the angular velocity.

Radius, r = 10 mm

We are asked to find the time and the distance.

To find the time, let's use the formula:

\theta = a*t

Where \theta = angle in radians.

Converting 540° to radians, we have:

\theta = 540 * \frac{\pi}{180} = 9.42 rad

Therefore, from the formula, let's find t.

\theta = a*t

9.42 = 6 * t

t = \frac{9.42}{6} = 1.57

time = 1.57

To find the distance, we have:

\frac{1.57 * 360}{360} = \frac{d}{2 \pi r}

\frac{1.57 * 360}{360} = \frac{d}{2\pi 10}

1.57 = \frac{d}{20\pi}

d = 20 \pi *1.57

d = 98.65 mm

Therefore, the time is 1.57 seconds and the distance is 98.65 mm

8 0
2 years ago
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
Ugo [173]
I believe the correct answers are:

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</span>
6 0
2 years ago
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the graph of f(x) shown below has the same shape as the graph of g(x)=x^2 but is shifted down 5 units and to the left 4 units (t
schepotkina [342]

Answer:

Option C

Step-by-step explanation:

A function g(x) = x² has been given as the parent function.

This function then shifted 5 units down.

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f(x) = (x + 4)² - 5

Therefore, option C is the answer.

6 0
1 year ago
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