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2 years ago

3) You have a giant, giant hot tub. The hot tub just so happens to be a perfect cylinder. You cannot fill it

Mathematics

2 answers:

sweet [91]2 years ago

6 0

Answer:

Step-by-step explanation:

Nikitich [7]2 years ago

4 0

Answer:

Probably 8!

Step-by-step explanation:

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WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B

dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

5 0

2 years ago

What is the graph represents the equation y=1/3x+2

Kaylis [27]

Step-by-step explanation:

step 1. you mean which graph represents the equation y = (1/3)x + 2?

step 2. please provide the graphs - they are missing.

step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.

step 4. the y intercept is 2 so it goes through the point (0, 2).

3 0

2 years ago

A designer is creating a rug for an oddly-shaped room. His design for the rug is shown below. If each blue square represents 1 s

likoan [24]

Answer:

btw we cant see the image sorry

Step-by-step explanation:

3 0

2 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

2 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

irina [24]

The volume of the pyramid is 167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = $\frac{1}{3}$ ×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid = $\frac{1}{3}$ ×l²×h

= $\frac{1}{3}$ ×8.3²×7.3 cube inch = 167.6 cube inch (approx)

8 0

3 years ago