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Artemon [7]
3 years ago
9

please help me and before you try to answer the height is not 8 in but the volume is 25.12 in if that helps thank you <3

Mathematics
2 answers:
maxonik [38]3 years ago
8 0

Answer:

2 in

Step-by-step explanation:

so the original height is 8 in and you need to find the height if the jar was 1/4 full

half of 8 is 4

and half of 4 is 2

your final answer is 2 in

good luck :)

i hope this helps

have a nice day !!

DochEvi [55]3 years ago
3 0

Answer:

25.12 in^3.

Step-by-step explanation:

Volume of the cylinder = 3.14 * r^2 * h

= 3.14 * 2^2 * 8

The volume of the preserve

= 1/4 * 3.14 * 4 * 8

= 25.12 in^3.

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Find the value of x.
Mariana [72]

Answer:

Step-by-step explanation:

sin^-1(7/16)= 25.9 degrees

7 0
2 years ago
M DEF = 144° and m GEF = 69°. Find m DEG
kvasek [131]

Answer:

Angle DEG = 75 degrees

Step-by-step explanation:

Step 1:

m DEF - m GEF = m DEG

Step 2:

144 - 69 = 75

Answer:

75 degrees

4 0
3 years ago
Park rangers tagged fish in a state park to track their population. The function f(x)=200(1.05)x can be used to find the populat
Sedbober [7]

The given exponential function can be used to determine the

population of the fish at different times.

Response:

1. 200

2. 0.05

3. Please find attached the graph of the exponential function and the table

\begin{array}{|c|c|c}x&f(x)\\0&200 & y-intercept\\1&210\\3&231.525\\4&243.1\\5&255.26\end{array}

4. Range; [0, ∞)

Domain: [200, ∞)

5. 346 fishes (approximate value)

<h3>How is the population of the fish obtained from the exponential function?</h3>

The given function is f(x) = 200·(1.05)ˣ

1. The initial population is given by the value of the function when x = 0,

which is given as follows;

At x = 0, f(0) = 200·(1.05)⁰ = 200

  • The initial population of the fish is <u>200</u>

2. The rate of growth of the fish from the exponential function is given as follows;

The growth factor = 1.05

  • The growth rate =<u> 0.05</u>

3. Please find attached the graph of the exponential function created

with MS Excel.

The asymptote of the exponential function is the line, <u>y = 0</u>

The table of values is presented as follows;

\begin{array}{|c|c|c}x&f(x)\\0&200 & y-intercept\\1&210\\3&231.525\\4&243.1\\5&255.26\end{array}

4. The domain is the possible x-values which is; 0 ≤ x < ∞

The range is the possible y-values which is; 200 ≤ f(x) < ∞

Which gives;

  • Domain; [0, ∞)
  • Range: [200, ∞)

5. The population of the fish after 11 years is f(11) = 200·(1.05)¹¹

f(11) = 200 × (1.05)¹¹ ≈ 342

  • The population of the fish after 11 years is <u>346 (fishes)</u>

Learn more about exponential function here:

brainly.com/question/15662160

3 0
2 years ago
At midnight, the temperature was 30 degrees Fahrenheit. By 6:00 am, IT had dropped 5 degrees Fahrenheit and by noon, it had incr
Allisa [31]
At noon, the temperature was 36 degrees. At midnight, the temperature was 30 degrees. By 6:00 am it drooped 5 degrees. Since it dropped 5 degrees, you subtract 5 from 30, which equals 25. It then increased by 11 degrees. Since the temperature increased, you add 11 to 25, which equals 36. At noon, the temperature was 36 degrees.
4 0
3 years ago
What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?
FromTheMoon [43]

For the given parabola, the axis of symmetry is x = 2.

<h3>How to get the axis of symmetry?</h3>

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

brainly.com/question/1480401

7 0
2 years ago
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