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4 years ago

Find the area of the circle. Approximate to 2 decimal places and use 3.14 for π.

Mathematics

1 answer:

drek231 [11]4 years ago

6 0

The answer is C. 153.86 cm2

Area of a circle is <span>πr2
So, Area of this circle= 3.14*7*7
= 153.86</span>

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The CEO of a company that sells car stereos has determined the profit of selling x number of stereos to be: P(x) = –.04x2 + 1000

MA_775_DIABLO [31]

Answer:

6233500

Step-by-step explanation:

We are given that CEO of a company that sells car stereos has determined the profit x number of stereos.

The profit of selling x number of stereos is given by

$P(x)=-0.04x^2=100x-16500$

We have to find the value of profit when the company selling 12500 stereos.

Substitute the value of x=12500

Then, we get

$P(12500)=-.04(12500)^2+1000(12500)-16500$

$P(12500)=-6250000+12500000-16500=-6266500+12500000$

$P(12500)=6233500$

Hence, the company should expect profit 6233500 from selling 12500 stereos.

5 0

3 years ago

Which of the following scenarios could be represented by the expression

wolverine [178]

Answer:

Step-by-step explanation:

I am going with A......12x + 7y....x = # of adult and y = # of children.....adults cost 12 and children cost 7 <====

B doesn't make much sense....u could say x was for girls and y for boys...but u already know how many there are....so I am not sure what the x and y could stand for.

C does't make much sense either....x would have to be red marbles and y would have to be green marbles...but just like B, u already know how many there are....so not sure what x and y could stand for

D. wrong....because the box containing x 7 oz packages and y 12 oz packages.....12x + 7y....for this one to be correct, it would have to have x 12 oz packages and y 7 oz packages

7 0

3 years ago

Suppose that the function g is defined, for all real numbers, as follows.

lesantik [10]

<h3>Answers:</h3>

g(-1) = -1
g(1) = -3/2
g(5) = -7/2

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

Explanation:

The piecewise function g(x) is defined based on what the input is.

If the input x is less than -2, then g(x) = 2
Or if $-2 \le x < 1$ then g(x) = -(x-1)^2+3
Or if $x \ge 1$ then g(x) = (-1/2)x-1

---------------

In the case of g(-1), we have x = -1 which makes $-2 \le x < 1$ true.

So we'll use the second piece

g(x) = -(x-1)^2+3

g(-1) = -(-1-1)^2+3

g(-1) = -(-2)^2+3

g(-1) = -4+3

g(-1) = -1

----------------

For g(1), we have x = 1 which makes $x \ge 1$ true

We'll use the third piece

g(x) = (-1/2)x-1

g(1) = (-1/2)*1 - 1

g(1) = -1/2 - 1

g(1) = -1/2 - 2/2

g(1) = -3/2

-----------------

For g(5), we have x = 5 which makes $x \ge 1$ true

g(x) = (-1/2)x-1

g(5) = (-1/2)*5-1

g(5) = -5/2 - 1

g(5) = -5/2 - 2/2

g(5) = -7/2

8 0

3 years ago

Simplify (34)−1.

elena55 [62]

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.