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loris [4]
3 years ago
14

Element X is a radioactive isotope such that every 38 years, its mass decreases by

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer:

f(x)=890(98.68)^t-1

Step-by-step explanation:

the amount decays by 1.32% each year. So multiply by 98.68%, which is the remaining amount after 1 year.

f(x)= 890(98.68)^t-1

890 is your initial amount. Multiply that by 98.68 to get the remaining amount after 1 year. then multiply that to the power of t-1, t being the term number, or amount of years from the initial amount. You subtract by 1 because 890(98.68) is already demonstrating the amount after the first term.

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The perimeter of the base of a right square pyramid is 32 cm.
Serga [27]

Answer:

  170.67 cm^3

Step-by-step explanation:

The volume is given by ...

  V = 1/3s²h

We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...

  V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³

_____

We have to assume that the given answer choices include a typo.

3 0
3 years ago
Which of these is the algebraic expression for "some number to the power of 6?"
Verizon [17]
Your answer is C. x6
4 0
3 years ago
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Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).
KATRIN_1 [288]

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

Gradient (m) = 2

Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

To learn more about the line visit:

brainly.com/question/5396646

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3 0
1 year ago
Whats the slope and y-intercept of y=-3x+4?
Helga [31]

Answer:

slope= -3. y intercept is 4

Step-by-step explanation:

the x value is slope and the y value is y intercept.

REMEMBER THIS!!! ITS SUPPPER IMPORTANT

7 0
3 years ago
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Which pair of triangles must​ be similar? help please
lubasha [3.4K]

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

hope this helps :)

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3 years ago
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