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2 years ago

Determine the domain of the function.

Mathematics

1 answer:

nydimaria [60]2 years ago

6 0

$f(x)=\dfrac{4}{x^2}D:\ x^2\neq0\to x\neq0\\\\Answer:\ All\ real\ numbers\ except\ 0.$

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An animal gained 5 kilograms steadily over 20 years. What is the unit rate of kilograms per year?

balandron [24]

The unit rate is 0.25 kilograms per year.

Step-by-step explanation:

Lets define unit rate first

Unit rate is the change in quantity per unit time.

Given

Weight = w = 5 kg

Time = t = 20 years

So,

$Unit\ rate = \frac{weight}{time}\\=\frac{w}{t}\\= \frac{5}{20}\\= 0.25$

Hence,

The unit rate is 0.25 kilograms per year.

Keywords: Unit rate, rate of change

Learn more about unit rate at:

#LearnwithBrainly

5 0

2 years ago

How long is the wire that supports the tree?<br> 5.6 ft<br> 3.3 ft -

Nikolay [14]

The answer is 2.3 feet

6 0

3 years ago

What does the model predict for 1900?

vagabundo [1.1K]

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

$y = -0.1271x + 307.53$

<u>To find:</u> Prediction for the year 1900.

Putting the value of $x=1900$ , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

$\Rightarrow y = -0.1271\times (1900) + 307.53\\\Rightarrow y = -241.49 + 307.53\\\Rightarrow y = -64.04\%\\OR\\y \approx 64.0\%$

So, the model predicts $y \approx 64.0\%$ for the year 1900.

3 0

2 years ago

Help,anyone can help me do quetion,I will mark brainlest.

Serhud [2]

Answer:

a) x = 2

b) x = 4

Step-by-step explanation:

a = (b₁ + b₂)/2 * h

----------------------------

48 = (10 + x)/2 * 8

Divide both sides by 8

6 = (10 + x)/2

multiply both sides by 2

12 = 10 + x

Subtract 10 from both sides

2 = x

x = 2

---------------------------------

18 = (7 + 2)/2 * x

18 = 4.5 * x

divide both sides by 4.5

4 = x

x = 4

5 0

2 years ago

Read 2 more answers

1. Find the phase shift of the function y = 5cos(2x + pi/2).

kolezko [41]

Answer:

see explanation

Step-by-step explanation:

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = $\frac{2\pi }{b}$ and

phase shift = - $\frac{c}{b}$

here b = 2 and c = $\frac{\pi }{2}$ , thus

phase shift = - $\frac{\frac{\pi }{2} }{2}$ = - $\frac{\pi }{4}$

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

5 0

2 years ago