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vovangra [49]
3 years ago
5

Identify the domain of the function shown in the graph.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

C. x is all real numbers

Step-by-step explanation:

Think of domain as how far the graph expands on the x-axis as asymptotes as the limits. So in this case, the graph extends infinitely on the x-axis; so it should be all real numbers.

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Type the correct answer in the box. Round your answer to the hundredth.
sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

A=P e^{k*t}

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

3P = P e^{0.05 * t}

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

\frac{3P}{P} = \frac{P}{P}  e^{0.05 * t}

3 = e^{0.05 * t}

ln(3) = 0.05 * t

t = \frac{ln(3)}{0.05} = 21.972245... years

6 0
3 years ago
The formula for calculating the volume of a cone is solve this formula for h
elixir [45]

Answer:

V =  \frac{1}{3} \pi {r}^{2} h \\

multiply either sides by 3:

3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\  \\ 3V = \pi {r}^{2} h

divide either sides by πr² :

{ \boxed{ \boxed{h =  \frac{3V}{\pi {r}^{2} } }}} \\

7 0
2 years ago
Read 2 more answers
You need to create a 4​-character password that consists of four English letters​ and/or digits if repetition is allowed. How ma
Nataly_w [17]
123a
123q
123w
123e
123r
123t
123y
123u
123i
123o
123p
123s
123d
123f
123g
123h
123j
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I thought this would be easy lol, I tried, sorry for not getting an answer
3 0
3 years ago
Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startf
Len [333]

The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

<h3 /><h3>SOH CAH TOA identity</h3>

The identity is used to find the measure of sides and acute angles of a right triangle

From the diagram shown, <ABC is the reference abgle hence;

Opposite side = 2,4cm

Hypotenuse .=10.3cm

According to the identity

sin x = opp/hyp

sinx = 2.4/10.3
sinx = 0.233

x =  13.47 degrees

Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 0
2 years ago
Solve |2x - 1| + 3 = 6.
umka21 [38]

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

5 0
3 years ago
Read 2 more answers
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