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Darya [45]
3 years ago
8

Write the product of 0.4 x 0.4 x 0.4 in exponential form.

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer: 0.4^3

Step-by-step explanation:

you just count how many times you multiply 0.4 and use that number to be the exponents

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Convert Зcis 180° to rectangular form.<br> А. -3<br> в. -3i<br> с. з<br> D. Зі.
Sunny_sXe [5.5K]

Answer:

-3

Step-by-step explanation:

3 cis(180^\circ) means 3(\cos(180^\circ)+i \sin(180^\circ))

What is the x-coordinate value that corresponds to \theta=180^\circ. That value is -1.

What is the y-coordinate value that corresponds to \theta=180^\circ. That value is 0.

So this implies \cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0.

3 cis(180^\circ)  

3(\cos(180^\circ)+i \sin(180^\circ))

3(-1+i (0))

3(-1+0)

3(-1)

-3

5 0
3 years ago
Plz help I had no idea these things even existed...
GrogVix [38]
X/12=(2 1/3)/5  note that 2 1/3=7/3

x/12=(7/3)/5

x/12=7/15  multiply both sides by 12

x=84/15

x=28/5

x=56/10

x=5.6
4 0
3 years ago
Need help with this answer !!!
KengaRu [80]
To find the area of a rectangle, multiple the width by the length.

(And simply the fractions for a simpler equation)

For piece A:
The length 1 and 3/5 can be turned into an improper fraction by multiplying 1 by the denominator (5) and adding it to the numerator (3). 1 and 3/5 = 8/5


(3/4) • (8/5) = area

Multiple the numerators with each other and the denominators with each other (3 times 8 = 24) (4 times 5 = 20)

The area of piece A is 24/20

If you do the same for piece B:

(2/5) • (21/8) = area

The answer is 42/40
8 0
3 years ago
Read 2 more answers
The price of a toy usually costs £50 is increased to £65 work out the percentage increase
I am Lyosha [343]

Answer:

Step-by-step explanation:

10% of 50 = 5

5% of 50 = 2.5

to get to 65 u do 5+5 = 10 so so far that is 20% but 20% only gets u to 60 so u add another 10% to reach 65

u have used 30% so the answer to yr question is 30%

<h2><em>does this help comment if / if not </em></h2>
8 0
2 years ago
Write the equation of a parabola whose focus is at (-7, 3) and whose directrix is the line x = -3.
Sav [38]

Check the picture below.

now, let's keep in mind that, the vertex is half-way between the focus point and the directrix, it's a "p" distance from each other.

since this horizontal parabola is opening to the left-hand-side, "p" is negative, notice in the picture, "p" is 2 units, and since it's negative, p = -2.

its vertex is half-way between those two guys, so that puts the vertex at (-5, 3)

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=7\\ p=-2 \end{cases}\implies 4(-2)[x-(-5)]=[y-7]^2 \\\\\\ -8(x+5)=(y-7)^2\implies x+5=\cfrac{(y-7)^2}{-8}\implies \boxed{x=-\cfrac{1}{8}(y-7)^2-5}

7 0
3 years ago
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