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3 years ago

Determine weather the following is real or complex i^6-122-7i^2

Mathematics

1 answer:

Leona [35]3 years ago

7 0

Answer:

Real

Step-by-step explanation:

i^6-122-7i^2

(i^2)^3-122-7i^2

(-1)^3-122-7×(-1)

-1-122+7

-123+7

-116

So the final answer is -116

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lisov135 [29]

Answer:

bicycle 24 x2= 48

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Step-by-step explanation:

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3 years ago

The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buc

qaws [65]

Answer: 5 green buckets and 3 white buckets

Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38

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3 years ago

How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

harina [27]

Answer:

see the explanation

Step-by-step explanation:

we know that

The surface area of a prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

For both prism the formula is the same

How is it different?

Rectangular prism

The area of the base is given by the formula

$A=LW$ -----> is the area of rectangle

where

L is the length and W is the width of rectangle

The perimeter of the base is given by

$P=2(L+W)$ ---> is the perimeter of rectangle

The height H is the same in both cases

Triangular prism

The area of the base is given by the formula

$A=\frac{1}{2} (b)(h)$ -----> is the area of the triangular base

where

b is the base of triangle and h is the height of triangle

The perimeter of the base is given by

$P=(a+b+c)$ ---> is the perimeter of triangle

where

a, b and c are the length sides of triangle

The height H is the same in both cases

3 0

3 years ago

Read 2 more answers

Help yall pls! !!!!!

Anika [276]

Answer:

20 stickers

Step-by-step explanation:

sine she gave 20 to core one and wants to give the same amount to core two, she'd just give both core one and two 20 and then be left with 10

7 0

3 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago