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Sophie [7]
3 years ago
5

Express the complex number z = -4+3i in polar form: r(cos⁡(θ)+i sin(θ)).

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

5( cos(- 0.64)+i sin(-0.64))

Step-by-step explanation:

Given:

z = -4+3i

r=\sqrt{(-4)^2+3^2}= 5

θ=tan^-^1(\frac{3}{-4} ) =  -0.64

Polar form=r(cosθ+i sinθ)=> 5( cos(- 0.64)+i sin(-0.64))

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Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all
Ludmilka [50]

Answer:

More than half

Step-by-step explanation:

10/10 would be one whole, and half of ten is 5, which makes 5/10 equal to one half. 7 is greater than 5, so that means 7/10 is more than one half. Hope this helps!

7 0
3 years ago
The dimensions of a right rectangular prism are 3/2 ft, 1/2 ft, and 2ft. What is the volume of this prism ?
r-ruslan [8.4K]

Answer:

v=1.5

Step-by-step explanation:

1.5*0.5*2=1.5

can i have brainliest

5 0
3 years ago
Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish
Luba_88 [7]

Answer:

14

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = \frac{1}{6}

Total pounds of pebbles that Timothy can use = 2\frac{1}{3}

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}

Now, the given mixed fraction can be converted to fractional number as:

2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}

<em>14</em> number of fish bowls can be filled.

3 0
3 years ago
Please help. I don't understand it. HELP ASAP....
Vladimir [108]

Answer:

\large\boxed{x\leq-27}

Step-by-step explanation:

\dfrac{x}{-9}\geq3\qquad\text{change the signs}\\\\\dfrac{x}{9}\leq-3\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{x}{9\!\!\!\!\diagup_1}\leq(-3)(9)\\\\x\leq-27

5 0
3 years ago
Which statement is true about the end behavior of the graphed function?
tatyana61 [14]

The <em><u>correct answer</u></em> is:

A) as the x-values go to positive infinity, the functions values go to negative infinity.  

Explanation:

We can see in the graph that the right hand portion continues downward to negative infinity.  The right hand side of the graph is "as x approaches positive infinity," since x continues to grow larger and larger.  This means as x approaches positive infinity, the value of the function approaches negative infinity.

8 0
3 years ago
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