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3 years ago

Describe a real world situation that can be modeled by the equation y=1/20x

1 answer:

3 0

Your neighbor will let you take water from the well on his claim,
charging you $.05 a quart.

If 'x' is the number of quarts you take from his well on Tuesday, then
'y' is the amount of money you owe him before the sun goes down.

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A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's

Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence the maximum height the dolphin jumps is 100feet

3 0

2 years ago

A: What are the solutions to the quadratic equation x^2+9=0?

Nataliya [291]

Answer:

Part A)

x=-3i

x=3i

Part B)

(x+3i)(x-3i)

Step-by-step explanation:

Given:

Part A)

x^2+9=0

x^2=-9

x= √-9

x=√-1 *√9

x=± i *3

x=±3i

Part B)

x^2+9=0

x^2 - (-9)=0

x2-(3i)^2=0

(x-3i)(x+3i)=0 !

3 0

3 years ago

What is the distance from the point (a, −b, −4) to the origin?

laiz [17]

Answer:

$\sqrt{a^2+b^2+16}$

Step-by-step explanation:

The distance (d) between two points in 3 dimensions is ...

d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

Then the distance between (a, -b, -4) and (0, 0, 0) is ...

d = √((a -0)² +(-b -0)² +(-4 -0)²)

= √(a² +b² +16)

6 0

2 years ago

Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s

Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : $\mu=10$

Standard deviation: $s=0.50$

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: $z=\dfrac{x-\mu}{s}$

At x= 0.75, $z=\dfrac{9.25-10}{0.50}=-1.5$

$z=\dfrac{9.25-10}{0.50}=1.5$

Using standard normal table for z-value,

P-value : $p(-1.5$

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0

2 years ago

You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut j

Nataly_w [17]

Answer:

$A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2$

And replacing the value of $\pi =3.14$ we got:

$A = 78*3.14 cm^2= 244.92 cm^2$

Step-by-step explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

$r = \frac{D}{2}= \frac{6cm}{2}= 3cm$

And the surface area for a cylinder is given by this formula:

$A= 2\pi r^2 +2 \pi rh$

And replacing the info given we got:

$A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2$

And replacing the value of $\pi =3.14$ we got:

$A = 78*3.14 cm^2= 244.92 cm^2$

4 0

2 years ago