What is the equation of a line passing through (3, 4) and having a slope of -5?

Mathematics

1 answer:

Jobisdone [24]2 years ago

8 0

11 is that it i hope it helps

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In a geometric sequence, A1 = 0.3 and r=3.Find A12, to the nearest integer

soldi70 [24.7K]

Step-by-step explanation:

We have,

First terms of geometric sequence, a = 0.3

Common ratio, r = 3

It is required to find the 12th term of a GP. The formula of the nth term is given by :

$T_n=ar^{n-1}$

Here, n =12

So,

$T_{12}=0.3\times 3^{12-1}\\\\T_{12}=0.3\times 3^{11}\\\\T_{12}=53144.1$

$T_{12}=53144$

So, the 12th term of the GP is 53144.

8 0

3 years ago

A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = 193.9 degrees (1 dp)

And the distance it travels is 31.2 km (1 dp)

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2 years ago

Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the n

Digiron [165]

I think the answer is: she got 36 right and you would have 2 rectangles for the wrong answers in the tape diagram and 9 for the right.

hope I helped...

4 0

2 years ago

The formula below gives T, the approximate time in years it takes a population to double if the annual growth rate is r percent.

matrenka [14]

The answer is
T=70/r=70/ 24/100=100*70/24=7000/24=291.6
T=291.6

4 0

2 years ago

Is the given answer a reasonable solution to the problem? 7.92 • 10.21 = 808.632

azamat

Yea its is reasonable. Hope i helped :)

3 0

2 years ago