(tan x - 1) (sin^2x - 3) =0
no answer necessary

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Answer:

436.8 x 100 / 62.08 x 100 = 43680/6208

Step-by-step explanation:

When you write the problem as a fraction, multiply the numerator and denominator by 100.  Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.

Answer: 2.6 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The watts used was;

= (5,657 * 28/60 hours) / 1,000

= ‭2,639.93333333

In kilowatts;

= ‭2,639.93333333/1,000

= 2.6399333 kilowatts

CO2 produced;

= 2.6399333 * 0.99

= 2.613533967‬

= 2.6 pounds of CO2

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

Answer:

The answer is C

Step-by-step explanation:

I say this because you have to simplify and  plug in the numbers to get answer choice c

Answer:

5.44 gallons of paint

Step-by-step explanation:

First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.

Area=(length*width)4

Area=(12*8.5)4

Area=(102ft^2)4

Area=408ft^2

Therefore, the total area of the walls is 408ft^2.

Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.

408/75

=5.44 gallons

Therefore, we would need 5.44 gallons of paint to paint the four walls.

I hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

4.5454545454545454. . .

Step-by-step explanation:

Original equation:

2500 + 110h < 3000

Subtract 2500 from both sides

110h < 500

Divide both sides by 110

h < 4.5 (rounded to the nearest tenth)

Hope this helps :)

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Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%

Answer:

5 meters

Step-by-step explanation:

a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters

Answer:

Yes you got it right.

Step-by-step explanation:

x= -7/4

x= -1 3/4, x= -1.75

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

Answer:

A.

Step-by-step explanation:

4(5+6g)

4*5+4*6g

20+24g

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

The given expression is 20+24g.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression can be simplified as follows:

20+24g

= 4(5+6g)

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Answer:

#3

Step-by-step explanation:

Answer:

graph A is the answer because the M is at the 3 and it move up 5

Answer:

-12, -3, 5, 9

Step-by-step explanation:

ok. So the numbers are 5, -3, -12, and 9.

In these numbers, there are 2 negatives. They are -12 and -3.

In negatives, the bigger the number is, the number is smaller.

So we first put

-12, -3 as our 2 first. Then the other ones are 5 and 9.

and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive

So then you put 5, 9

And our full answer is

-12, -3, 5, 9

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

Answer: 2.5

Step-by-step explanation:

For this problem, we see that 4km is 1/2 of 8km.

So, we will have to find 1/2 of 5km.

1/2 of 5km = 2.5km

Your answer is 2.5km

Answer:

2.48548 Miles or simplified 2.5

Step-by-step explanation:

You Divide by 1.609 to find the answer.  

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

Answer:

X = 2

Step-by-step explanation:

4-14=5x

10=5x

10/5=5x/5

2=x

Answer: x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4−14=5x

Step 1: Simplify both sides of the equation.

4−14=5x

4+−14=5x

(4+−14)=5x

(Combine Like Terms)

−10=5x

−10=5x

Step 2: Flip the equation.

5x=−10

Step 3: Divide both sides by 5.

5x/5=−10/5

x=−2

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

Answer:

qwsedfgh

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

D $26

Step-by-step explanation:

Answer:

X = 56/14 = 4

Step-by-step explanation: