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4 years ago

Find the inequality represented by the graph.

Mathematics

1 answer:

Simora [160]4 years ago

5 0

Answer:

y < $\frac{3}{4}$ x

Step-by-step explanation:

Since the line is dotted and shaded down that mean the sign is <.

The slope is rise over run or 3/4.

Since the line intercepts the y-intercept at (0,0) that means that the y-int is 0

So the full equation is y < 3/4 x

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33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

4 years ago

In Pensacola, Florida, the average rainfall

Lerok [7]

the average rainfall, in inches, in December is 4.15 inch . Correct option C. 4.15 .

Step-by-step explanation:

Here we have , In Pensacola, Florida, the average rainfall in the month of July is 7.40 inches. By October, the average rainfall decreases by 35%. By December, the average rainfall drops another 0.66 inches. We need to find the average rainfall, in inches, in December .Let's find out:

In July , rainfall was 7.40 inches . By October, the average rainfall decreases by 35% i.e.

⇒ $7.4 - \frac{7.4(35)}{100}$

⇒ $7.4 - 0.074(35)$

⇒ $7.4 - 2.59$

⇒ $4.81$

By December, the average rainfall drops another 0.66 inches i.e.

⇒ $4.81-0.66$

⇒ $4.15$

Therefore, the average rainfall, in inches, in December is 4.15 inch . Correct option C. 4.15 .

5 0

3 years ago

What is the fraction ten twelves in its simplest form

Sergio [31]

5

You just divide each by one of there common factors (except from 1 and 0)

Eg.10÷2=5

12÷2=6

4 0

4 years ago

Read 2 more answers

Select all the expressions that are equivalent to -6(3x - 7).

Likurg_2 [28]

Answer:-18x+42

Step-by-step explanation:

8 0

3 years ago

What is the tax (8%) on a $2.50 magazine

Gala2k [10]

2.50X.08=.2
tax is 20 cents

8 percent =.08 as a decimal. to get the decimal of a percent pretend 8 percent is an 8 with an invisible decimal point at its right. so 8% is 8.0. to get a decimal of a percent, move the point two times to the left, and you will put in a 0 for the blank. so its ._8, where he blank is 0 and so 8%=.08

8 0

3 years ago

Read 2 more answers