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3 years ago

Please help I will give a brainliest!!

Mathematics

2 answers:

Anit [1.1K]3 years ago

7 0

The answer is TRUE.

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lisov135 [29]3 years ago

5 0

Answer:

True!!

Step-by-step explanation:

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I have a series of questions

alexgriva [62]

9514 1404 393

Answer:

0.4, 0.004, 0.004

Step-by-step explanation:

The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.

4/10 = 0.4 ⇒ 10 times 0.4 = 4

0.04 and .04 are exactly the same value, so the last two on your list are the same:

0.04/10 = 0.004 ⇒ 10 times .004 = 0.04

3 0

3 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers

How to get the answer for2x-12y=7,x=6y+9 substitution method

beks73 [17]

Answer:

step 1. you see in the problem x = 6y + 9 substitue the equation for the x variable in the first equation. so it will be 2(6y+9) - 12y = 7

step 2. solve for y. butttt in this case it looks like it can't be solved .

Step-by-step explanation:

option 3. in the steps i provided substituted x for x equals 6y + 9 which leads you to solve y. if you want you can rearrange 2x-12y=7 to solve for y so it would be 7-2x/-12 = 7

7 0

3 years ago

A triangle has side lengths of 6, 8 and 10. Which side lengths could be possible in a similar triangle

Murljashka [212]

D is the answer I’m pretty sure

8 0

3 years ago

Read 2 more answers

The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$