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frez [133]
3 years ago
11

There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?

Mathematics
1 answer:
timama [110]3 years ago
3 0

Answer:

78

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

\frac{a}{60} = \frac{30}{100}

It is just proportions.

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Which expression is equivalent to<br> min<br> pg?<br> mºn<br> po<br> m2
ziro4ka [17]

Answer:

The expression equivalent to (\frac{m^{5}n}{pq^{2}})^{4} is  \frac{m^{20}n^{4}}{p^{4}q^{8}} ⇒ C

Step-by-step explanation:

Let us use the exponent rule (a^{m})^{n} = a^{m.n}

∵ The expression  is (\frac{m^{5}n}{pq^{2}})^{4}

→ By using the rule above multiply the power of each letter by 4

∵ (m^{5})^{4} = m^{20}

∵ (n^{1})^{4} = n^{4}

∵  (p^{1})^{4} = p^{4}

∵ (q^{2})^{4} = q^{8}

→ Substitute them in the expression above

∴ (\frac{m^{5}n}{pq^{2}})^{4} = \frac{m^{20}n^{4}}{p^{4}q^{8}}

∴ The expression equivalent to (\frac{m^{5}n}{pq^{2}})^{4} is  \frac{m^{20}n^{4}}{p^{4}q^{8}}

3 0
3 years ago
768,384,192 what would the explicit formula be ? a7=
Igoryamba

Answer:

a7 = 12,  a11= 47

Step-by-step explanation:

768, 384, 192, 96, 48, 24, 12

a(n) = 768 / (2∧X - 1)

a(7) = 768 / 2∧6 = 768 / 64 = 12

7, 11, 15, 19 23, 17, 31, 35, 39, 43, 47

a(n) = 7 + 4 * (X-1)

a(11) = 7 + 4 * (11-1) = 7 + 40 =47

3 0
4 years ago
HELP MEEEEEEEEEEEEE PLZZZZZZZZZZZZ
Leona [35]

Let's say we wanted to subtract these measurements.

We can do the calculation exactly:

45.367 - 43.43 = 1.937

But let's take the idea that measurements were rounded to that last decimal place.  

So 45.367 might be as small as 45.3665 or as large as 45.3675.

Similarly 43.43 might be as small as 43.425 or as large as 43.435.

So our difference may be as large as

45.3675 - 43.425 = 1.9425

or as small as

45.3665 - 43.435 = 1.9315


If we express our answer as  1.937 that means we're saying the true measurement is between 1.9365 and 1.9375.  Since we determined our true measurement was between 1.9313 and 1.9425, the measurement with more digits overestimates the accuracy.

The usual rule is to when we add or subtract to express the result to the accuracy our least accurate measurement, here two decimal places.

We get 1.94 so an imputed range between 1.935 and 1.945.  Our actual range doesn't exactly line up with this, so we're only approximating the error, but the approximate inaccuracy is maintained.


7 0
3 years ago
Read 2 more answers
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2x – 4, what type of functions are f(x) and g(x)? Justify your answer. Wh
8090 [49]

The first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The function given in the problem is:

f(x) = x³ + x² – 3x + 4

The highest degree (power) of this function is 3. Thus, this function is a type of cubic function.

The second function given in the problem is:

g(x) = 2x – 4

The highest degree (power) of this function is 1. Thus, this function is a type of linear function.

Both the function has the value of domain and range from -∞ to ∞ (-∞,∞).

Thus, the first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).

Learn more about Function here:

brainly.com/question/5245372

#SPJ1

4 0
2 years ago
The diagonal of a square is 10 cm how do I find out the length and the width
sweet [91]
Well we know that the formula for a diagonal is: d= \sqrt{2} a so using this we can conclude that the length and the width of this particular square would be 7.071 cm. Hope this helps!
8 0
4 years ago
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