Determine the solution set of (x-4)^2=12.

A: {4+2 square root of 3, 4-2 square root of 3}
B: {4-2 square root of 3, 4-2 square root of 3}
C: {2 square root of 3 + 4, 2 square root of 3 -4}

Answer:

-57

Step-by-step explanation:

-19 * 3 = -57

Hope this helps!

The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.

mark me brainliesttt :)))

Answer:

First you need to state the equation that represents the function.

Investment is $200 and interest rate is 5%, y is the amount of money after x periods.

Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2

After 3 periods the amount is 200 (1.05)^3

And now you can deduce that after x periods y = 200 (1.05)^x

You can then analyze the function to predict the shape and critical points of the graph.

The answers are based in the initial value and the increasing factor.

The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200

And the increasing factor is 1.05 because any value is the previos one times 1.05.

Step-by-step explanation:

9514 1404 393

Answer:

  1. 5 seconds

  2. 4.5 seconds

Step-by-step explanation:

Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.

__

1) y = -15x(x -5)

  x = 5 makes the second factor zero

The golf ball is in the air 5 seconds.

__

2) y = -12x(x -4.5)

  x = 4.5 makes the second factor zero

The football is in the air for 4.5 seconds.

_____

Additional comment

The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...

  ax+b = 0   ⇒   ax = -b   ⇒   x = -b/a

That is, once you have the factored form, you can write the solutions "by inspection."

Answer:

<A = 45

<B = 110

<C = 25

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+ x+65 +25 = 180

Combine like terms

2x+90 = 180

Subtract 90

2x+90-90 = 180-90

2x = 90

Divide by 2

2x/2 = 90/2

x = 45

<A = x = 45

<B = x+65 = 45+65 = 110

<C = 25

∠A = 45 °

∠B = 110 °

∠C = 25 °

Step-by-step explanation:

We know that sum of all angles of triangle is 180°.

x + x + 65 ° + 25 ° = 180 °

combine like terms

2 x + 90 ° = 180 °

Subtract 90 ° from each side

2 x + 90 ° - 90 ° = 180 ° - 90 °

2x = 90 °

Divide 90 ° by 2.

x = 90 ° / 2

x = 45 °

Therefore,

∠A= x = 45 °

∠B = x + 65 ° = 45 ° + 65 ° = 110 °

∠C = 25 °

Answer:

The cosine of ∠V is of 0.74.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.

XW = 65, WV = 97, and VX = 72.

[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.

What is the value of the cosine of ∠V to the nearest hundredth?

The hypotenuse is the largest side, that is, WV = 97.

The adjacent side of angle V is VX = 72. So

[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]

The cosine of ∠V is of 0.74.

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

Answer:

check the picture

Step-by-step explanation:

I hope this help

Answer:

the second green shape because the first one is a rectangle which has 2 equal sides

Answer:

the third orange one

Step-by-step explanation:

i have the same question and these 2 show up as answers on both so it has to be this one

Answer:

Step-by-step explanation:

1. 50x50 (because 1 mile= $50)=2500

2. 15x3 (because you need to pay 15 dollars a day)= 45

3. 2500+45= $2545

( plus tax that would be $2,875.85 IF YOUR IN CANADA )

Answer:

Minimum average cost = 743.75

Number of dvds to achieve the cost = 62.5

Step-by-step explanation:

Given the cost equation

C = 0.04x² − 5x + 900

To Obtian the minimum average cost ;

Find dc/dx = 0

Diffentiate cost, c it ith respect to x

dc/dx = 2(0.04x) - 5

dc/dx = 0.08x - 5 = 0

0.08x = 5

x = 5 / 0.08

x = 62.5

Substitute the value of x into C to obtain the minimum average cost

C = 0.04(62.5)² - 5(62.5) + 900

C = 743.75

Answer:

the answer to x  is 33

Step-by-step explanation:

The whole thing must equal 180 degrees

Answer:

C = 5^2 * Pi * 8

Step-by-step explanation:

Formula = [tex]r^{2}[/tex]*Pi*h

r = d / 2

d=10, so r=5

h = 8

Hope this explanation helps. :)

Answer:

440.

Step-by-step explanation:

56/7=8

8x55=440.

Answer:

440

Step-by-step explanation:

56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.

Answer:

First term: 2x+1

Second term: 3x+3

Step-by-step explanation:

The coefficient of x is going up by 1 time each time while the constant term is going up by 2.

We are looking at these two questions basically:

1) What are the first two terms in?

_,_,4,5,6,7,8

2) What are the first two terms in?

_,_,5,7,9,11,13

Answers:

1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.

So before 4, we have 3.

Before 3, we have 2.

The sequence for the coefficient of x is 2,3,4,5,6,7,8

2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.

So before 5, we have 3.

Before 3, we have 1.

The sequence for the constant term is 1,3,5,7,9,11,13.

So first two terms of the sequence in ascending order according to the sequence is:

2x+1

3x+3

Answer:

can i have the choices

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

4a - 4 = 2a + 30

2a = 34

a = 17

Answer:

$16.40

Step-by-step explanation:

Answer:

98.40

Step-by-step explanation:

First find the tip

82* 20%

82* .20

16.40

Add the tip to the cost of the mean

82+16.40

98.40

Answer:

Step-by-step explanation:

Answer:

f(3) = -8

Step-by-step explanation:

f(3) means find the y value when x=3

Using the graph the y value when x =3 is -8

f(3) = -8

Answer:

9.16

Step-by-step explanation:

by using pythagorean theorem,

given that PQ=4 and NQ = 2×5 = 10

NP²= NQ²-PQ²

= 10²-4²

= 100-16

= 84

NP = √84 = 9.16

Step-by-step explanation:

the answer is in the above image

Answer:

2*3

Step-by-step explanation:

multiplying 2 the difference subtraction of 9-7 your answer is  2*3

ok thats cool ig what do you need help with

Answer:

A

Step-by-step explanation:

Have a nice day :)

Answer:

[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Step-by-step explanation:

x²+20x-12=0

a = 1, b = 20, c = -12

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]

[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]

Step-by-step explanation:

the final position = (-3+2 , -3+6) => (-1, 3)

the distance from the origin point =

√(2²+6²) = √(4+36) = √40 units or 6.3 units

the direction = tan~¹ 6/2 = 71.6°