which is equivalent to 4^3/4^6 ?
A) 1/ 4^2
B) 4^-3
C) 1/64
D)1/4^3

So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

Let's first move all the constant to one side and group 'like variables' together:

      [tex](x^2-10x)+(y^2+8y) = 8[/tex]

Now lets complete the square of both equations

    [tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]

Now we know the circle's general equation format is:

   ⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]

Thus the radius of the circle is 7

Hope that helps!

Answer: lower death rates

Step-by-step explanation:

Step-by-step explanation:

The interest I per t years is 2.8% of invested amount P

Let the interest amount is same as invested amount, then our equation is

Find the value of t

Answer:

Equation:  250(1 + 0.028t) = 500

Answer:  36 years

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

Given:

Substitute given values into the formula and solve for t:

250(1 + 0.028t) = 500

⇒ 250 +7t = 500

⇒ 7t = 250

⇒ t = 250/7

⇒ t = 35.71428571...

So it will take approximately 36 years for Edward to double his money.

If we have 360 degrees and need to divide it into 12 equal angles, then all we have to do is a simple division problem.

360 / 12 = 30

There are 30 degrees in each angle.

Hope this helps!

Answer:

30 i think ???

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I am in 12th grade and make straight A;s trust me

Step-by-step explanation:

area of inner rectangle = 10*8 = 80 units^2

area of outer rectangle = 12*10 = 120 units^2

area of shaded portion = 40units^2

Answer:

I think John does not own a clothing store

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve the given equation ~

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

Answer:105

Step-by-step explanation:

Answer:

it’s 60

Step-by-step explanation:

what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60

Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.

Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.

(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:

2 = 10 + 8

2 = 18 (not true).

The rest points will give us a true equation except (8, 2).

(8, 2) is not a point on the graph.

Learn more about point on a graph on:

https://brainly.com/question/19701097

Answer:

$2600

Step-by-step explanation:

It is given that the variables:

A = total income

t = amount of TV they sell.

It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:

A = 800 + 200t

A = 800 + 200(9)

A = 800 + 1800

A = 2600

$2600 is the total amount they will receive if they sell 9 TVs.

~

Answer:

∠DBC = 155°

Step-by-step explanation:

Assuming that ABC is a straight line.

Angles on a straight line sum to 180°.

⇒ (2x² + 3x - 2) + ∠DBC = 180°

⇒ ∠DBC = 180° - (2x² + 3x - 2)

The sum of the interior angles of a triangle is 180°:

⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°

⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)

Therefore, we can equate the equations and solve for x:

⇒ ∠DBC = ∠DBC

⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)

⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)

⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0

⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0

⇒ x² - x - 6 = 0

⇒ x² + 2x - 3x - 6 = 0

⇒ x(x + 2) - 3(x + 2) = 0

⇒ (x + 2)(x - 3) = 0

Therefore,  x = -2, x = 3

As angles are positive, x = 3 only

Substituting found value of x into the angle expressions:

⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°

⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°

The sum of the interior angles of a triangle is 180°:

⇒ ∠DBC  + ∠BDC + ∠DCB = 180°

⇒ ∠DBC = 180° - ∠BDC - ∠DCB

⇒ ∠DBC = 180° - 10° - 15°

⇒ ∠DBC = 155°

Sum of two interiors=exterior

Take it positive

Now

Now

<DBC=180-25=155°

Answer:

746

Step-by-step explanation:

i got the same question

Answer:

7x+10

Step-by-step explanation:

First, distribute the 2

2(x+5) +5x

2*x+2*5 +5x

2x+10+5x

Combine like terms

2x+5x+10

7x+10

Answer:

Domain:  0 ≤ x ≤ 4

Range:  0 ≤ y ≤ 64

Step-by-step explanation:

Information

Domain: set of all possible input values (x-values)

Range: set of all possible output values (y-values)

From inspection of the diagram, the minimum value of x is 0 and the maximum value of x is 4.

Therefore, the domain is:  0 ≤ x ≤ 4

From inspection of the diagram, the minimum value of y is 0 and the maximum value of y is 64.

Therefore, the range is:  0 ≤ y ≤ 64

Remember:-

If a pair be (x,y) then

hence

Here x goes from 0 to 4 so domain is

Y goes from 0 to 64 hence range is

Answer: (2,-3)

Step-by-step explanation:

Answer:

In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.

Step-by-step explanation:

Answer:

1,000 mm³

Step-by-step explanation:

To find the volume we use the formula:

V = L×W×H   (L=length, W=width and H=height)

Since we are given all values we substitute the values to give us:

V= 10×10×10 = 1000

Units will be mm³ as this is volume.

Answer:

if it's area, it's the first one

56 - 15 = 41min

hope it helps...!!!

Answer:

41 minutes

Step-by-step explanation:

The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)

Answer:

2/6, 1/3, 33.33%

Step-by-step explanation:

To roll a 5 or 6, meaning 2 numbers.

There are a total of 6 numbers on the die.

Therefore, it would be 2 out of 6, or 2/6.

Simplified: 1/3 or 33.33%

Answer:

3

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], plugging in the given values, we'll have: [tex]\frac{14-8}{4-2}[/tex]

[tex]\frac{14-8}{4-2}[/tex]

[tex]\frac{6}{2}\\\\=3[/tex]

hope this helps!

Answer:

Step-by-step explanation:

You have to solve this using the slope formula in order to get the right answer.

[tex]\underline{\text{SLOPE:}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2= 14

y1= 8

x2= 4

x1= 2

Rewrite the problem.

[tex]\sf{\dfrac{14-8}{4-2}=\dfrac{6}{2}=\boxed{\sf{3}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

B

Step-by-step explanation:

Answer: 50 degrees

Step-by-step explanation:

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081

Answer: The slope is 3

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Where

[tex](x_1,y_1)[/tex]= coordinates of the first point in the line

[tex](x_2,y_2)[/tex]= coordinates of the second point in the line

Let's use (2,-3) for the first point and (4, 3) for the second point.

Sub the values into our formula

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]

Now simplify

[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]

Answer:

The slope is 3

Step-by-step explanation:

Answer:

A.) (-4,-2)

Step-by-step explanation:

Because the lines intersect

Answer:

[tex]\frac{1}{x^2}[/tex]

Step-by-step explanation:

Hey there!

x^2 / x^4

≈ x * x / x * x * x * x

SIMPLIFY IT!

≈ 1 / x^2

Therefore, your answer should be:

1/x^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

please add the picture for us to see.

Step-by-step explanation: