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3 years ago

Why is it unimportant to have the same powers of 10 we multiplying and dividing in Scientific Notation

Mathematics

2 answers:

nikdorinn [45]3 years ago

6 0

We only need to worry about the exponents

Darina [25.2K]3 years ago

3 0

You only to worry about the exponents and that’s it

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Find the quotient of (-5+ i)/(-7 + i)

kari74 [83]

Use the complex conjugate of (-7 + i) to remove the complex number from the denominator and then simplify.
See attached.

6 0

3 years ago

Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

$2\sin ^2 \theta + 3\sin \theta + 1 = 0$

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

8 0

3 years ago

PLEASE HELP I’LL PROMISE TO GIVE BRAINLESSNESS

ycow [4]

Answer:

a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.

b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64

c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.

40000 × π ≈ 125663.7

7 0

2 years ago

She writes down

Luba_88 [7]

Answer:

To decrease 160 by 6% you have to do 160×.06 and you get 9.6. then you do 160-9.6 and you get 150.4

3 0

3 years ago

Read 2 more answers

Can you help me do this please

Salsk061 [2.6K]

The top part equals 1 because anything to the power of zero equals one. then for the second one bring every variable with a negative exponent to the top and leave the 2 at the bottom

5 0

3 years ago