According to Section 7, all bills for raising revenue shall originate in the __

A surveyor starts at the southeast corner of a lot and

elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

7 0

2 years ago

A kennel has 100 dogs in total, some are puppies and some are adult dogs. the ratio of puppies to adults in a kennel is 1:4 how

Elden [556K]

Puppies : Adults = 1 : 4

Total parts = 1 + 4 = 5

5 parts = 100 dogs
1 part = 100 ÷ 5 = 20 dogs

Answer: 20 puppies

4 0

3 years ago

Square root of 648.7209 by division method

SpyIntel [72]

Answer:

$25.47$

Step-by-step explanation:

This root can be rewritten as:

$\sqrt{\frac{6487209}{10000} }$

$\sqrt{\frac{6487209}{100^{2}} }$

$\frac{1}{100}\cdot \sqrt{6487209}$

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

$\frac{1}{100}\cdot \sqrt{3\times 2162403}$

2162403 is also a multiple of 3, then:

$\frac{1}{100}\cdot \sqrt{3^{2}\times 720801}$

$\frac{3}{100}\cdot \sqrt{720801}$

720801 is a multiple of 3, then:

$\frac{3}{100}\cdot \sqrt{3\times 240267}$

240267 is a multiple of 3, then:

$\frac{3}{100}\times \sqrt{3^{2}\times 80089}$

$\frac{9}{100}\cdot \sqrt{80089}$

80089 is a multiple of 283, then:

$\frac{9}{100}\cdot \sqrt{283^{2}}$

$\frac{9\times 283}{100}$

$\frac{2547}{100}$

$25.47$

6 0

3 years ago

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$

When t = 0, N = 400

$400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325$

When t = 3, N = 650

$650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49$

The equation for the population becomes:

$N = 725 - 325 e^{-0.49t}$

At t = 5, the population becomes:

$N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697$

N(5) = 700 ( to the nearest 50)

6 0

3 years ago

To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to mak

nekit [7.7K]

Answer:

Step-by-step explanation:

2.5 kg = 10 leaning tower

here students can make 10 leaning towers.

find;

How many kilograms of spaghetti does it take to make 1 leaning tower?

solution:

10 leaning towers

= 0.25 kg per leaning tower

therefore,

Mrs. Robinsons can take 0.25 kg of spaghetti to make 1 leaning tower.

4 0

3 years ago

According to Section 7, all bills for raising revenue shall originate in the ___.