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Tom [10]
3 years ago
10

HELP ME ASAP PLEASE

Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

144.44

Step-by-step explanation:

C = 2 x π x r .      C = 2 x 3.14 x 23  = 144.44

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The value of computer decreases with its age until it is worth nothing a computer that was purchases new for 0 years is worth 22
Georgia [21]

Answer:

V(x) = -\frac{340}{3}x +2220

V(8) = 1313.3

Step-by-step explanation:

Given

Let x represent years and V represents the value.

So, we have:

(x_1,v_1) = (0,2220)

(x_2,v_2) = (6,1540)

Solving (a): The linear function

First, we calculate the slope (m)

m = \frac{v_2 - v_1}{x_2 - x_1}

This gives:

m = \frac{1540-2220}{6-0}

m = \frac{-680}{6}

m = -\frac{340}{3}

The linear function is calculated using:

v - v_2 = m(x - x_2)

Where:

(x_2,v_2) = (6,1540)

m = -\frac{340}{3}

So, we have:

v - 1540 = -\frac{340}{3}(x - 6)

Open bracket

v - 1540 = -\frac{340}{3}x +\frac{340}{3}* 6

v - 1540 = -\frac{340}{3}x +680

Make v the subject

v = -\frac{340}{3}x +680+1540

v = -\frac{340}{3}x +2220

So, the function is:

V(x) = -\frac{340}{3}x +2220

Solving (b): When x = 8

Substitute 8 for x in V(x) = -\frac{340}{3}x +2220

V(8) = -\frac{340}{3}*8 +2220

V(8) = -\frac{340*8}{3} +2220

V(8) = -\frac{2720}{3} +2220

Take LCM

V(8) = \frac{-2720+2220*3}{3}

V(8) = \frac{-2720+6660}{3}

V(8) = \frac{3940}{3}

V(8) = 1313.3

<em>Hence, its value after 8 years is 1313.3</em>

3 0
3 years ago
Choose all the polynomials that are in standard form?
Allisa [31]
<h3>2 Answers: Choice B and Choice D</h3>

==========================================================

Explanation:

Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.

Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.

Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.

6 0
3 years ago
Read 2 more answers
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
What is the inverse of the function
Angelina_Jolie [31]

Answer:

A is correct ..............

3 0
2 years ago
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
sergiy2304 [10]

Answer:

<h3>B. -84</h3>

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

4 0
2 years ago
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