Sam is rowing a boat away from a dock. The graph shows the relationship

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

Answer:

After 60 minutes, Sam is 6 meters from the dock

Step-by-step explanation:

I looked at the number line and met up where 60 minutes was.

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A concrete patio is

astra-53 [7]

The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

Solution:

Given that concrete patio is $5\frac{2}{3}$ feet wide

Area of concrete patio = $36\frac{2}{3}$ square feet

Therefore,

$\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2$

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

$\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5$

Therefore length of concrete patio is 6.5 feet

So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table

4 0

3 years ago

Determine the domain of the function (f*g)(x) where f(x)=1/x, g(x)=√2-5x

EleoNora [17]

Answer: (∞, 0) ∪ (0, 2/5)

In other words, x is less than 2/5 but cannot include 0

Step-by-step explanation:

$f(x)\cdot g(x)=\dfrac{1}{x}\cdot\dfrac{1}{\sqrt{2-5x}}\\\\\\\text{The denominator cannot equal zero and must be a real number, so}\\x\neq 0\quad and\quad \sqrt{2-5x}>0\\\\\\(\sqrt{2-5x})^2>0^2\\.\quad 2-5x>0\\.\qquad -5x>-2\\\\.\qquad \quad x$