Write the equivalent percent for 19/50 fraction

A square garden plot has an area of 24 ft2.

strojnjashka [21]

The area of a square is equal to the side squared.
$s^2=A$

We can plug in 24 for A and then take the square root of each side to find s.
$s^2=24 \\ s=\sqrt{24}$

We can simplify √24.
The prime factorization of 24 is 2×2×2×3.
Since we have 2×2 inside the radical we can simplify to have 2 outside the radical.
$\sqrt{24}=\sqrt{4\times6}=\boxed{2\sqrt{6}\ ft}$

We can then use a calculator to find an approximate decimal value for 2√6.
(You could technically calculate it by hand using the Babylonian method, I don't think you're expected to do that, though)
$2\sqrt{6}\approx\boxed{4.9\ ft}$

6 0

3 years ago

to download movies off the internet, you must pay 1.99 per movie,plus one time fee of 5.50 write an expression to show the total

Oksanka [162]

1.99x+5.5= total cost

8 0

3 years ago

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The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference

Rzqust [24]

The first term of the arithmetic progression exists at 10 and the common difference is 2.

<h3>How to estimate the common difference of an arithmetic progression?</h3>

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

3d = 15

d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 $*$ 5 = 50

a + 40 = 50

a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

To learn more about common differences refer to:

brainly.com/question/1486233

#SPJ4

4 0

2 years ago

Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20 free-throw attempts would you exp

PilotLPTM [1.2K]

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

<h3>How to solve the fraction?</h3>

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

Learn more about fractions on:

brainly.com/question/78672

5 0

2 years ago

Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

erastovalidia [21]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

3 0

3 years ago

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