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2 years ago

8

Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are

shown on the blue print

1 answer:

Monica [59]2 years ago

3 0

This Answer is:

4x^2+18x+18

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PLZ HELP I GIVE BRAINLIST!!

Tom [10]

Answer:

5

Step-by-step explanation:

X + 2y = 13

Since x = 3

3 + 2y = 13

2y = 13 - 3

2y = 10

Divide both sides by 2

Y = 5

4 0

2 years ago

Read 2 more answers

Can someone help me pls....

kogti [31]

Answer:

-1/3

Step-by-step explanation:

8 0

2 years ago

Help please. . .

TiliK225 [7]

0.4x + 3.9 = 5.78

1. Subtraction property of equality:

Subtract 3.9 from both sides of the equal sign:

0.4x = 1.88

2. division property of equality:

Divide both sides of the equal sign by 0.4:

X = 4.7

3 0

2 years ago

Read 2 more answers

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

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photogra

snow_tiger [21]

Answer:50 %

Step-by-step explanation:

Given

There are 4 girls and 6 boys in a club

Probability of choosing 1 girl and 2 boys is

$=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}$

No of ways of choosing 1 girl and 2 boys $=^4C_1\times ^6C_2$

$P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}$

$P=\dfrac{4\times 15}{10\times 3\times 4}$

$P=\dfrac{15}{30}=\frac{1}{2}$

i.e. $50\%$

3 0

2 years ago

Read 2 more answers