Please help me with number 3 and 4

The half-life is the time it takes for only half of something to remain. For example, if there are 100 atoms, after one half-lif

yarga [219]

First we define the variable to be used:
x: half-life time period
The equation for this problem can be modeled as:
y = A * (b) ^ x
Where,
A: initial amount
b: decrease rate.
For example:
if there are 100 atoms, after one half-life time period, 50 atoms remain:
y = 100 * (0.50) ^ x
after one half-life time period (x = 1):
y = 100 * (0.50) ^ 1
y = 50
The equation that models the problem is:
y = 16 * (0.50) ^ x
The table is:
1 8
2 4
3 2
4 1
5 0.5

6 0

3 years ago

Describe in detail how to simplify fractions

REY [17]

Divide both fractions by the same number.

4 0

4 years ago

Read 2 more answers

Which statement is true about the function f(x)= StartRoot x EndRoot?

Gelneren [198K]

The statement that is true is the third statement - The domain of the graph is all real numbers less than or equal to 0

<h3>Domain and Range of a Function</h3>

From the question, we are to determine the statement that is true about the given function.

The domain of a function consists of all the input values shown on the x-axis.

and

The range is the set of possible output values, which are shown on the y-axis

The given function is

f(x) = √-x

The possible input values for the given function is the set of all real numbers less than or equal to zero. That is, the domain of the function is the set of all real numbers less than or equal to zero.

The possible output value for the given function is the set of all real numbers greater than or equal to zero. That is, the range of the function is the set of all real numbers greater than or equal to zero.

Hence, the correct statement is the third statement - The domain of the graph is all real numbers less than or equal to 0

Learn more on Domain and Range of a function here: brainly.com/question/2264373

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7 0

2 years ago

What value of x satisfies the equation 7/3(x+9/28)=20

Svet_ta [14]

The value of x is 8.25
x+9/28 = 20*3/7
x=60/7 - 9/28
x = 33/4
x= 8.25

6 0

3 years ago

If RT = 90, find the length of RO. (SU = 25)(SO is perpendicular to RT)

Sedaia [141]

In the given figure of circle, if RT = 90, SU = 25, and SO is perpendicular to RT, the length of the radius RO is 53.

In the given figure,

RT = 90

SU = 25

SO is perpendicular to RT.

Here, SO and RO are the radii of the circle and RT is a chord.

The length of the chord, RT is given as,

RT = 2 √(r² - d²)

Here, r is the radius and d is the distance of the chord RT from the center O.

Radius, r = RO and distance, d = OU

∴ RT = 2 √(RO² - OU²)

Substituting RT = 90 in the above equation, we get,

90 = 2 √[(RO)² - (OU)²]

√[RO)² - (OU)²] = 45

(RO)² - (OU)² = 45²

(RO)² - (OU)² = 2025 ........... (1)

Now, OU = SO - SU [From the figure]

⇒ OU = SO - 25

Substituting OU = SO - 25 in equation (1), we obtain,

(RO)² - (SO - 25)² = 2025

(RO)²- [(SO)² + (25)² - 2(SO)(25)] = 2025 [ ∵ (a-b)² = a²+b²-2ab ]

(RO)²- (SO)² - (25)² + 50(SO) = 2025 ........... (2)

Since, RO and SO both are the radii of the same circle, we have,

SO = RO

Thus, we can write equation (2), as follows,

⇒ (RO)² - (RO)² - (25)² + 50(RO) = 2025

⇒ -625 + 50RO = 2025

⇒ 50RO = 2025 + 625

⇒ RO = 2650/50

⇒ RO = 53

Hence, the length of the radius RO of the given circle is 53.

Learn more about a circle here:

brainly.com/question/11833983

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4 0

2 years ago