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Liula [17]
2 years ago
6

Tony rides the bus to and from school. His total riding time each day is 45 minutes. How much time does Tony spend riding to and

from school in a five-day week?
Mathematics
2 answers:
Katen [24]2 years ago
8 0

Answer: 225 minutes or 3.37 hours

Step-by-step explanation:

45x5=225

hours- 45x5=225

225 divide by 60= 3.75

tatiyna2 years ago
5 0

Answer:

He spend 3 hours 45 minutes for the riding.

Step-by-step explanation:

Tony total riding time each day = 45 minutes.

Total time spend on riding for 5 days = 5*45 minutes

= 225 minutes

Now let's convert minutes into hours.

1 hour = 60 minutes.

225 minutes = 3 *60 + 45 minutes

= 3 hours 45 minutes.

Hope this will helpful.

Thank you.

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Suppose that a tea company estimates that its monthly cost is C(c) = 500x² + 100x and its monthly revenue is R(2) = -0.6x3 + 700
zubka84 [21]

Answer:

p(x) = 0.6x³ - 200x² + 500x- 300

Step-by-step explanation:

Given the cost function and revenue function as:

C(x) = 500x² + 100x

R(x) = -0.6x³ + 700x² – 400x + 300

To get the profit function:

p(x) = C(x) - R(x)

p(x) = 500x² + 100x -(-0.6x³ + 700x² – 400x + 300)

open the parenthesis

p(x) = 500x² + 100x + 0.6x³ - 700x² + 400x - 300

p(x) = + 0.6x³+500x² - 700x² + 100x+ 400x- 300

p(x) = 0.6x³ - 200x² + 500x- 300

Hence the profit function is expressed as p(x) = 0.6x³ - 200x² + 500x- 300

6 0
3 years ago
Math<br><br><br><br> help pleaseeeeeeee<br><br> due todayyy
just olya [345]

Answer:

Option D is correct ...

Step-by-step explanation:

because f(x) is defined on x<0 which is only possible in log(-x)

6 0
2 years ago
Read 2 more answers
Equivalent equation for 4^2 =16
mihalych1998 [28]
Hello there!


To do this, we will take the square root from each side

4^2 would be 4

16 would be 4

4 = 4


I hope I helped!

~ Fire
7 0
3 years ago
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
2 years ago
Write the standard equation of the circle below.
s344n2d4d5 [400]

Answer:

The first answer is correct.

(x + 1)^2 + (y - 2)^2 = 1

A circle with the midpoint M(Mx, My) and the radius r can be written as

(x - Mx)^2 + (y - My)^2 = r^2


7 0
3 years ago
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