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3 years ago

Simplify the fraction below. −63/99

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

-7/11

Step-by-step explanation:

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BRAINLIEST ANSWER UP FOR GRABS!!

Svetach [21]

X = sqrt(5^2 - 3^2) = 4
y = sqrt(7^2 - 3^2) = sqrt 40

Horizontal distance = x + y + 3 = 7 + sqrt40

8 0

2 years ago

Read 2 more answers

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

What is the period of y = 8 cos (5pie x + 3pie/2)-9<br> Give an exact value. Units

zzz [600]

$\\ \rm\Rrightarrow y=Acos(Bx+C)+D$

This is the general formula and the period is 2π/B

Now our given function

$\\ \rm\Rrightarrow y=8cos\left(5\pi x+\dfrac{3\pi}{2}\right)-9$

On comparing we get

A=8
B=5π
C=3π/2
D=-9

Period:-

$\\ \rm\Rrightarrow \dfrac{2\pi}{B}$

$\\ \rm\Rrightarrow \dfrac{2\pi}{5\pi}$

$\\ \rm\Rrightarrow \dfrac{2}{5}$

3 0

2 years ago

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A group of 22 students participated in a race. Their scores are below: Score (points) 4–5 6–7 8–9 10–11 12–13 Number of Students

Anna71 [15]

A histogram would best represent the data.
Dot plot is a good way to show a certain trend. However, when it comes to the number of a item, in this case the number of students in a certain score range, a histogram will be the most intuitive and concise. Thus, a histogram best represent the data presented here.

6 0

3 years ago

The area of a compact disc is 78.53 square centimeters. What is the radius of the disc? Use pi = 3.14

Tom [10]

Answer:

r = 5 cm

Step-by-step explanation:

A = πr²

78.53 = (3.14)r²

divide by 3.14

25 = r²

r = ±5

r = 5

5 0

3 years ago