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2 years ago

Can yall help me out

Mathematics

2 answers:

Tamiku [17]2 years ago

8 0

Answer:

-4/5

Step-by-step explanation:

$\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}$

vodka [1.7K]2 years ago

3 0

Answer:

0.8

Step-by-step explanation:

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(01.01 LC)Which two temperatures have a sum of 0 degrees Celsius?

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The second option is the correct cjoice

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3 years ago

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Fran purchased an annuity that provides $5,400 quarterly payments for the next 10 years. The annuity was purchased at a cost of

guajiro [1.7K]

Answer:

$5400

Step-by-step explanation:

Gross income is any interest, wage etc(money received) given to someone which they account for before any deductions and tax. Fran will have to include all $5400 of her first quarterly payment into her gross income because there are no deductions yet and tax when you consider what is put in gross income. Fran would have earned this amount as a payment from the purchasing of the annuity as it serves as a payment back for purchasing an annuity which to Fran, is an investment.

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3 years ago

Please help me with this! <3

alexandr402 [8]

Answer:

Surface Area=

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7 0

2 years ago

Local newspaper company wanted to determine if there is a need for a digital version of their newspaper. They sampled 80 of thei

Oksana_A [137]

Answer:

A.) 7:3

B.) Approximately 96,772 people

Step-by-step explanation:

The newspaper company sampled 80 of their subscribers.

56 of the 80 would be interested in the new services.

So, 80 - 56 = 24 people would not be interested in the new service.

The ratio of those interested in the new service to those who are not interested is:

56 : 24 simplified becomes 7 : 3 (We divide 56 and 24 by a common divisor = 8)

If the total number of subscribers for the newspaper is 138,346

The number of subscribers who would be interested in the new service would be:

$\frac{7}{10}$ × 138,246 = 96,772.2 people

Because there are no 0.2 people, we remove the decimal point of the answer and hence;

Approximately 96,772 people would be interested in the new service.

3 0

3 years ago

Which function is the same as y = 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2? y = 3 sine (2 (x startfraction p

kirza4 [7]

The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

<h3>How to convert sine of an angle to some angle of cosine?</h3>

We can use the fact that:

$\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)$

to convert the sine to cosine.

<h3>Which trigonometric functions are positive in which quadrant?</h3>

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
In second quadrant(π/2 < θ < π), only sin and cosec are positive.
In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)

Here, the given function is:

$y= 3\cos(2(x + \pi/2)) - 2$

The options are:

$y= 3\sin(2(x + \pi/4)) - 2$
$y= -3\sin(2(x + \pi/4)) - 2$
$y= 3\cos(2(x + \pi/4)) - 2$
$y= -3\cos(2(x + \pi/2)) - 2$

Checking all the options one by one:

Option 1: $y= 3\sin(2(x + \pi/4)) - 2$

$y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2$

(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.

Option 2: $y= -3\sin(2(x + \pi/4)) - 2$

This option if would be true, then from option 1 and this option, we'd get:
$-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0$