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What is the center of the circle? Please show steps!

Vika [28.1K]

Answer:

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the equation:

$x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2$

h = 0, k = 4, r = 5

7 0

3 years ago

Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0

2 years ago

Help please, will give lots of points!

Troyanec [42]

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

5√2 is 2^(1/5)

8 0

2 years ago

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = $\frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}$

thus,

Marginal cost = $\frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}$

or

Marginal cost = $\frac{\textup{3,750-3,500}}{\textup{1}}$

or

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0

2 years ago

Answer.

Neporo4naja [7]

Answer:

a. all matter is made of atoms

b. atoms are indivisible and indestructible

c. atoms of given elements are identical in mass and properties

d. compounds are combination of 2> different types of atoms

2. it's called Planetary model

4 0

3 years ago

Read 2 more answers

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!​

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!