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3 years ago

Which figure has two bases and one lateral face that is rectangular?

Mathematics

2 answers:

Goryan [66]3 years ago

6 0

Answer:

cylinder

Step-by-step explanation:

Took test on Edge

please mark brainliest because i got it right and other person got it wrong

vodomira [7]3 years ago

4 0

Rectangular pyramid

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Rose’s Ringlets, a national hair salon, pays the following in employee benefits each pay period: $700 for health care, 10% of gr

Deffense [45]

Answer:

D $1298

Step-by-step explanation:

10% of 5200 is 520

1% is 52

0.5% is 26

700+520+52+26 = 1298

3 0

3 years ago

The distance between two cities on a map is 10 in. The actual distance between the cities is 135. What is the scale on the map?

spayn [35]

The scale on the map is 1 in = 13.5 units

135/10 = 13.5

4 0

3 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

3 years ago

What is 2 x + 2y equals negative 6 coordinate

Andrews [41]

This is solved for all values of
y = -x-3. (Assuming you meant that 2x+2y=-6).

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2 years ago

N circle o, radius oq measures 9 inches and arc pq measures 6π inches. what is the measure, in radians, of central angle poq? 2p

nalin [4]

θ = 6π/9 = 2π/3 radians

5 0

3 years ago

Read 2 more answers