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3 years ago

What is 42.1 x 10 to the power of negative three in scientific notation

Mathematics

2 answers:

Yanka [14]3 years ago

8 0

Answer: it is 4.21 x 10^4

Step-by-step explanation: please mark brainlyest

Over [174]3 years ago

4 0

Answer:

42.1

Step-by-step explanation:

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Pls help Which algebraic rule describes the transformation?

Phantasy [73]

Answer:

the answer will be B (x,y) --> (x,-y)

3 0

3 years ago

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16x^2 + 10x — 27 = -6x + 5<br><br> What are the solutions to this equation?

dexar [7]

Answer:

x=1 or x=−2

Step-by-step explanation:

16x2+10x−27=−6x+5

Step 1: Subtract -6x+5 from both sides.

16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)

16x2+16x−32=0

Step 2: Factor left side of equation.

16(x−1)(x+2)=0

Step 3: Set factors equal to 0.

x−1=0 or x+2=0

x=1 or x=−2

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2 years ago

Which number is a solution of the inequality x <-4? Use the number line to help answer the question.

Fantom [35]

Answer:

0 is the answer

Step-by-step explanation:

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3 years ago

2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

Solve for m:<br> 2 (m + 7) = -4- m<br> Your answer

Leokris [45]

Answer:

m = -6

Step-by-step explanation:

2 (m + 7) = -4 - m

2m + 14 = -4 - m

3m + 14 = -4

3m = -18

m = -6

Hopefully this helps!

Brainliest please?

8 0

2 years ago

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