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2 years ago

Simplify.(1) x + x + x + x4 น”

Mathematics

1 answer:

ahrayia [7]2 years ago

5 0

Answer:

Sorry my handwriting is terrible :) :p

Step-by-step explanation:

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The formula for surface area of a cube is SA = 652, where SA is the surface area and s is the

Aliun [14]

Answer:

24p^2q^2?

Step-by-step explanation:

Not enough info, so this is what I could get...

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2 years ago

Plsss help me no links

Sindrei [870]

Answer:

D) 42.16

Total: $553.13

Step-by-step explanation:

Multiply the subtotal, 510.97, by 8.25%. To do that just turn the 8.25% into a decimal which is 0.0825. The answer to that would be 42.155025 and rounded it would be 42.16 so the tax would be $42.16.

The total to the entire thing would be $553.13 since you just add the tax and subtotal together.

8 0

2 years ago

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Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

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2 years ago

A town uses positive numbers to track increases in population and negative numbers to track decreases in population. The populat

Alex73 [517]

Well heres what to do

300 residents 5yrs

divde 300 by 5= you get 60 a yr

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2 years ago

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Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

1 year ago

Read 2 more answers

Simplify.(1) x + x + x + x4 น”​

Simplify.(1) x + x + x + x4 น”