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3 years ago

1. What is the formula for Pythagorean Theorem

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

The formula is a^2 + b^2 = c^2

Step-by-step explanation:

A and B are legs and C is the hypothunisis.

The theorem is used for triangles.

4^2 + 5^2 = c^2

16 + 25 = c^2

41 = c^2

sqr(41) = sqr(c)^2

c = 6.403124237

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Helppppp please i need to know the answer right now! Thanks!

Ivenika [448]

Answer:

f(7) - f(-7)

= (4 - 7^2) - ((-7)^3 - 2*(-7))

= -45 - (-329)

= 284

6 0

3 years ago

There are 416 students who are enrolled in an introductory geology course. if there are seven boys to every six girls, how many

Alenkinab [10]

$\text{Let the number of boys be x and number of girls be y.}\\
\\
\text{and there are total 416 students enrolled in the course. so we have}\\
\\
x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
\\
\text{also given that there are seven boys to every six girls, that is}\\
\\
\frac{x}{y}=\frac{7}{6}$

$\Rightarrow 6x=7y\\
\\
\Rightarrow y=\frac{6x}{7}\\
\\
\text{substitute this value of y in (i), we get}\\
\\
x+\frac{6x}{7}=416\\
\\
\Rightarrow \frac{7x+6x}{7}=416\\
\\
\Rightarrow \frac{13x}{7}=416\\
\\
\Rightarrow x=\frac{416\times 7}{13}\\
\\
\Rightarrow x=224$

Hence the number of boys in the course are: 224

4 0

4 years ago

A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.

OleMash [197]

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

3 0

2 years ago

WILL GIVE BRAINLIEST

olganol [36]

Answer:

Yes, SAS theorem. Angle ACB and Angle ECD are congruent because of the vertical angles theorem.

Step-by-step explanation:

4 0

3 years ago

A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

$y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48$

The rumor reaches 80% at 8.48 days.

8 0

3 years ago