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3 years ago

8

The first three terms of a sequence are given. Round to the nearest thousandth (if

1 answer:

Tatiana [17]3 years ago

4 0

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

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Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &

Bess [88]

Answer:

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as $\sin (t) \ne 0$ ,

$\displaystyle \csc t = \frac{1}{\sin t}$ .

Therefore, $\csc(t) > 0$ is equivalent to $\sin (t) > 0$ .

Consider a unit circle centered at the origin. If the terminal side of angle $t$ intersects the unit circle at point $(x,\, y)$ , then

$\cos (t) = x$ , and
$\sin(t) = y$ .

For angle $t$ ,

$x = \cos(t) < 0$ , meaning that the intersection is to the left of the $y$ -axis.
$y = \sin(t) > 0$ , meaning that the intersection is above the $x$ -axis.

In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.

6 0

2 years ago

Find the Axis of Symmetry of the following Quadratic, Show all work<br><br> y = x ^2 + 8x + 12

Tanya [424]

The answer should be x = -4

3 0

2 years ago

Someone help me ( view picture below )

oksano4ka [1.4K]

Answer:

D. 13

Step-by-step explanation:

x = 5

2 x 5 + 3 = 13

5 + 8 = 13

meaning the side length has to be 13, also.

5 0

2 years ago

If there are approximately 1.8 million cars in Vancouver and if each car travels an average of 17,500 kilometres in a year, how

Goryan [66]

Rates are used to measure a quantity over another.

<em>The 1.8 million cars use </em> $1.85 \times 10^{10}$ <em> liters each year</em>

Given

$Cars = 1.8\ million$

$d = 17500km$ --- distance

$r = 40miles/gallon$

First, we calculate the number (n) of gallons used by each car

$r = \frac{d}{n}$

Solve for n

$n = \frac{d}{r}$

So, we have:

$n = \frac{17500km}{40miles/gallon}$

$n = \frac{17500km}{40miles}gallon$

Convert miles to kilometers

$n = \frac{17500km}{40km \times 1.60934}gallon$

$n = \frac{17500km}{64.3738km}gallon$

$n = 271.85\ gallon$

The number of gallons (N), used by all the cars is:

$N = n \times cars$

$N = 271.85 \times 1.8\ million$

$N = 489330000$

Convert to liters

$N = 489330000 \times 3.78541L$

$N = 1852314675.3L$

In scientific notation to 2 decimal places, we have:

$N = 1.85 \times 10^{10}L$

<em>Hence, the number of liters used is </em> $1.85 \times 10^{10}$ <em />

Read more about distance and rates at:

brainly.com/question/24659604

4 0

2 years ago

PLEASE I NEED HELP ILL MARK AS BRAINLIEST

Papessa [141]

Answer:

Ali´s secret number is 13

Step-by-step explanation:

6 0

2 years ago

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