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Stels [109]
3 years ago
9

In which of the following equations does f= -12​

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

C

118 - 4 (-12)= 166

118 + 48 = 166

166 = 166

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The answer would be 4 over 5 or 4/5
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
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Answer:

Step-by-step explanation:

y=-16x^2+200x+82

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What is the length of AC¯¯¯¯¯
Nutka1998 [239]

Answer: AC=12 cm

Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

\frac{a}{sinA}=\frac{b}{sinB}

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12

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3 years ago
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Pls help due in 10 minutes!!!
Luden [163]

Answer:

\sf 500,000,000,000=5 \times 10^{11}

\sf 0.00000000005=5 \times 10^{-11}

Step-by-step explanation:

<u>Scientific notation</u>

\large\boxed{a \times 10^n}  

where:

  • 1\leq a < 10
  • n is any positive or negative <u>whole number</u>.

To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.

The number of times you have moved the decimal point is n.

  • If the decimal point has moved to the <u>left</u>, n is positive.
  • If the decimal point has moved to the <u>right</u>, n is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5.  As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

\implies \sf 500,000,000,000=5 \times 10^{11}

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5.  As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

\implies \sf 0.00000000005=5 \times 10^{-11}

Learn more about scientific notation here:

brainly.com/question/28235385

8 0
1 year ago
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The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
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