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inn [45]
3 years ago
5

Help in Circumference of a circle A small pizza has a diameter of 21 cm.

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

The circumference of any circle is (pi) x (the diameter of the circle).

The problem gives you both numbers, so all you have to do is multiply them.

Circumference = (pi) x (diameter) = (3.14) x (21cm) = <em>65.94 cm .</em>


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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of
ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that A(24) = (1-0.26)A(0) = 0.74A(0); We use this to find r.

A(t) = A(0)(1-r)^t

0.74A(0) = A(0)(1-r)^{24}

(1-r)^{24} = 0.74

\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}

1 - r = (0.74)^{\frac{1}{24}}

1 - r = 0.9875

r = 1 - 0.9875 = 0.0125

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that A(0) = 810

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 810(1 - 0.26)^t

A(t) = 810(0.74)^t

The function to represent the mass of the sample after t days is A(t) = 810(0.74)^t

5 0
3 years ago
A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches
Bond [772]

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

Volume =\frac{1}{3} \times Bh

Substituting Volume=63 and Height=9 in the above formula, we get,

63 =\frac{1}{3} \times B(9)

Simplifying the terms, we get,

63 =3B

Dividing both sides by 3, we have,

21=B

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

3 0
3 years ago
Help me asp 25 points and will mark
denpristay [2]
Y=10x, 10 is the amount of money Miranda earns per hour , x is the amount of hours she works, y is the total amount of money she earns.
For Tommy’s earnings, use slope formula, which is y=y2-y1/x2-x1, take two random points from the table, (4,32) and (5,40)
(4,32) is (x1,y1). (5,40) is (x2,y2)
40-32/5-4= 8/1
The answer is 8. y=8x
Miranda earns more money per hour than Tommy.
8 0
3 years ago
-1/2 + 1/3
san4es73 [151]
A is the answer and i am in 6th grade
4 0
3 years ago
Read 2 more answers
Plz help me get this right
tresset_1 [31]

Answer:

the pic is blocked

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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