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balandron [24]
3 years ago
8

Y=(x+5)(2x-3) in standard form

Mathematics
1 answer:
mestny [16]3 years ago
3 0

the step by step explanation is to expand the binomial

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In​ 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47​% per year.
Tcecarenko [31]

Answer:

a) a(t)= 6.27e^{0.0147*t}

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

a(t)= ae^{k*t}

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now \frac{da}{dt}=a(t)k

  this is equal to(in 2012)=\frac{1.47}{100}*=0.0147

b)Put t = 6

we get

a(t)= 6.27e^{0.0147*6}

=6.84 million

c) 8 = 6.27e^{0.0147*t}

  take log both sides

we get 16.52 years

d) 2*6.27=6.27e^{0.0147*t}

take log both sides we get 47 years to get double the current population.

3 0
3 years ago
Help plz 30 points!!
egoroff_w [7]
It is A. We have a ratio of

900 workers : 3.2×10⁵

Dividing by 9×10² becomes

1 worker :\frac{3.2}{9} ×10³

3.2/9 is just 0.36 rounded so it is

1 worker : 0.36×10³

or A
5 0
3 years ago
Read 2 more answers
X and Y are independent random variables. X is normally distributed with mean 1 and variance 1. Y is normally distributed with m
g100num [7]

Answer:

1

Step-by-step explanation:

Equation of variance:

Total Variance = sum (i=1, N) {c^2,variance^2}

= c1^2*variance1^2 + c2^2*variance2^2 + .....

Variance of X = 1

Variance of Y = 5

Variance of Y - 2X = (1^2)*(5) - (2^2)**(1)

= 5 - 4 = 1

8 0
3 years ago
I need help please !!
lana [24]
What do you need help with?
3 0
3 years ago
Read 2 more answers
HURRY QUICK!!
antiseptic1488 [7]

After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.

<h3>What is parabola?</h3>

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.

General equation of the quadratic equation,

Y = ax² + bx +c

Given points,

(-2, 0),

(-1, -10),

(4, 0).

Putting the points in the general equation,

Putting (-2, 0), we get

0 = 4a - 2b + c

Putting (-1, -10), we get

-10 = a - b +c

Putting (4, 0), we get

0 = 16a + 4b +c

Solving all equations we get,

a = 2 , b = -4 , c = -16

After putting the values,

Y = 2x²- 4x- 16

2(x² - 2x - 8)

2(x²- 2x + 1 - 1 - 16)

=2(x - 1)²-34

Hence we get the required equation in the parabolic form.

To know more about parabola, visit :

brainly.com/question/21685473

#SPJ1

5 0
1 year ago
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