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3 years ago

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

= r² + 9r + 8

= (r + 9/2)² - 81/4 + 8

= (r + 4.5)² - 12.25 (Complete the square)

Vertex: (-4.5, -12.25)

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Challenge fr y'all. solve this to get 50 points and brainliest coming up if you get the right answer

TEA [102]

Answer:

See below

Step-by-step explanation:

Use the law of cosines:

$AB=\sqrt{PA^2+PB^2-2*PA*PB*cosP}$
$AB=\sqrt{60^2+100^2-2*60*100*cos80} =\sqrt{11516.22} =107.31$

ii)

Use the law of sines:

sin ∠A / PB = sin ∠P / AB
sin ∠A / 100 = sin 80 / 107.31
sin ∠A = 100 sin 80 deg / 107.31
sin ∠A = 0.92
∠A = arcsin 0.92
∠A = 67° (rounded)

iii)

Bearing of B from A:

90° + (67° - 30°) =
127°

PB is longer distance. Time to reach B:

t = d/s
t = 100/20 = 5 hours

The speed s of the slower ship:

s = d/t
s = 60/5 = 12 km/h

3 0

2 years ago

Read 2 more answers

LEIM deposits some money in an account which pays 5% simple interest per year, and twice that amount in an account paying 4% sim

Goshia [24]

Answer:

266.5

Step-by-step explanation:

$533.00*5%=266.5

7 0

2 years ago

Read 2 more answers

Translate the sentence into an inequality. The product of w and 3 is greater than 15.

Deffense [45]

Answer:

The product of w and 3 is greater than 15.

(w x 3)> 15

3w>15

Step-by-step explanation:

"Product" signifies multiplication. "of" means w is being multiplied by 3.

3 0

3 years ago

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

2 years ago

Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiec

Bezzdna [24]

Answer:

I would say that is is B

Step-by-step explanation:

Just put the answer

Please make be brainliest or like rate my answer please and thanks <3

5 0

3 years ago