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3 years ago

Simplify the expression. Show your work. -5 x 1 x 11 x 4

Mathematics

2 answers:

Mrac [35]3 years ago

4 0

Are those multiplications signs or x variables?

serious [3.7K]3 years ago

3 0

-5x1= -5

-5x11= -55

-55x4= -220

I solved it as multiplication with no variables so if they are variables, sorry

Hope this helps!

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If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?

olga55 [171]

If x=3+bi, then

$|x|=\sqrt{3^2+b^2}.$

You know that $|x|^2=13,$ then

$\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.$

Two possible complex numbers satisfy these conditions:

$x_1=3+2i, \ x_2=3-2i.$

As you can see the possible value of b is 2.

Answer: correct choice is A.

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3 years ago

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anastassius [24]

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4 years ago

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Question 9 of 26

Arturiano [62]

Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240

Step-by-step explanation:

Let, she made f(x) sundaes in x minutes.

Then according to the question,

She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,

⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,

That is, 120 ≤ x ≤ 240

Now, She can prepare 1 sundae every 2 minutes,

⇒ She can prepare 1/2 sundae every 1 minutes,

⇒ She can prepare x/2 sundae every x minutes,

Also, she earns $1.20 for each sundae she makes.

Thus, her total earning in x minutes,

$f(x)= 1.2\times \frac{x}{2}$

⇒ $f(x)= 1.2(\frac{x}{2})$

Where, 120 ≤ x ≤ 240

Which is the required function related her earnings to the number of minutes she works.

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3 years ago

The water level in a vat changed by -9.9 inches in 2.25 hours as the vat was drained. What is the average change in the vats wat

olga_2 [115]

The answer without any certain formula would be 18.211

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4 years ago

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In the supermarket there is a scale that measures the weight of fruit and vegtsbles. The nedle is 24 cm long and it roatated 96d

Galina-37 [17]

Answer:

The distance of needle cover as it rotate is 0.700688 cm

Step-by-step explanation:

Given as :

The length of the needle = r = 24 cm

The needle is rotated at angle = Ф = 96°

The distance of needle cover as it rotate = length of arc made = l cm

The radius of arc = length of needle = r cm

<u>Now, According to question</u>

The distance of needle cover as it rotate = $\dfrac{\Pi \times radius\times \Theta }{180^{\circ}}$

where , π = 3.14

Or, l = $\dfrac{\Pi \times r\times \Theta }{180^{\circ}}$

Or, I = $\dfrac{3.14 \times 24 cm\times 96^{\circ} }{180^{\circ}}$

Or, l = 75.36 × 0.533°

∵ 180° = 3.14 radian

So, 0.533° = 0.0092978

So, l = 75.36 × 0.0092978

∴ l = 0.700688 cm

So,The distance of needle cover as it rotate = l = 0.700688 cm

Hence, The distance of needle cover as it rotate is 0.700688 cm Answer

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3 years ago