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2 years ago

15

Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y

=8.

1 answer:

notka56 [123]2 years ago

4 0

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

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Help me with a. b. c. I need help

hammer [34]

Answer:

a) Perimeter = 20.5 Inches

Area is 15 Sq Inches

b) Perimeter is 61.4 Cms

Area is 210 Sq cm

c) Perimeter is 22 yards

Area is 21 Sq Yards

Step-by-step explanation:

a) Perimeter = sum of all the sides

= 8+7.5+5

=20.5

Perimeter = 20.5 Inches

Area of Triangle = $\frac{1}{2} \times height \times Base$

Base = 7.5 In

Height = 4 In

$A = \frac{1}{2} \times 4 \times 7.5$

$A = 2 \times 7.5$

$A = 15$

Hence Area is 15 Sq Inches

b) Perimeter = Sum of all the sides

P=13+23+13.4+12

P=61.4

Perimeter is 61.4 Cms

Area of trapezium = $\frac{1}{2} \times height \times (sum \ of \ parallel \ sides)$

$A= \frac{1}{2} \times 12 \times (12+23)$

$A= 6 \times 25$

$A=210$

Area is 210 Sq cm

c) Perimeter = Sum of all the sides

P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram

P = 22

Perimeter is 22 yards

Area of a parallelogram = $base \times height$

$A= 7 \times 3$

$A = 21$

Area is 21 Sq Yards

3 0

3 years ago

What are the domain and range of this function?

RUDIKE [14]

<h3>Answer: Choice D</h3>

Domain: all real numbers
Range: $y \ge 1$

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

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation $(-\infty, \infty)$ which is basically saying $-\infty < x < \infty$

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

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, $y \ge 1$ is the range which converts to the interval notation $[1, \infty)$ which is the same as saying $1 \le y < \infty$

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

Extra info:

The equation of this absolute value function is y = |x|+1

8 0

3 years ago

the phone costs £140 and then you pay for a one year contract at £15 per month. how much do you pay in total at the end of the y

Karolina [17]

At the end of the year, you pay 320 dollars.Just multiply 15 by 12, and add the sum to 140. Hope this helps!

7 0

3 years ago

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How many fluid ounces are in 3 quarts and 2 cups ?

sasho [114]

15 fluid ounces.
1quart= 4 cups

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You have two numbers. If you double the first number and add it to the second number, the sum is 10.

Anni [7]

Answer:

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3 years ago