What are the next three terms of the geometric sequence 32, -16, 8, …?
a.
2, 1, 1/2
c.
-8, 16, -32
b.
4, 2, 1
d.
-4, 2, -1

One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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Answer:

5

Step-by-step explanation:

3.5^2 - 1.5^2 = 10

3.5 - 1.5 = 2

so,

a = 3.5

b = 1.5

so,

3.5 + 1.5 = 5

Ace Carlos

(L3) The orthocenter will lie in the exterior of a(n)  obtuse triangle. Contrary to an acute triangle, the orthocenter of an obtuse triangle will lie in the exterior of the triangle.

The orthocenter is the point of intersection of the altitudes of the triangle, which are perpendicular lines drawn from each vertex to the opposite side. In an obtuse triangle, one of the angles measures more than 90 degrees, so when an altitude is drawn from this vertex to the opposite side, it will lie outside of the triangle. Therefore, the three altitudes will intersect outside of the triangle, forming the orthocenter in the exterior. This is in contrast to an acute triangle, where all three altitudes intersect inside the triangle.

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Answer:

\(\frac{6}{8} = \frac{y}{16}\)

Step-by-step explanation:

rise = y-axis

run = x-axis

\(\frac{rise of smaller trinagle}{run of smaller trinagle} = \frac{rise of larger triangle}{run of larger triangle}\)

\(\frac{6}{8} = \frac{y}{16}\)

Answer:

  3 and 1/2 half-cups

Step-by-step explanation:

We are asked to find the number of half-cups that will equal 1 3/4 cups.

__

Let the desired number be represented by n. Then we require ...

  n × 1/2 = 1 3/4 . . . . some number of 1/2-cups will give 1 3/4 cups

Using a common denominator, we have ...

  n × 2/4 = 7/4

Multiplying by the inverse of the coefficient of n gives ...

  n × 2/4 × 4/2 = 7/4 × 4/2

  n = 7/2 = 3 1/2 . . . . . simplify

That is, Donna can measure 1 3/4 cups of sugar by using her 1/2-cup measure 3 times, and filling it half-full for the final 1/4 cup she needs.

She needs 3 1/2 half-cups to get the correct amount.

Given:

Consider the equation is:

\(5m-2m+3=-1+12\)

Some steps of the solution are given.

To find:

The next step of the solution.

Solution:

Step 1: The given equation is:

\(5m-2m+3=-1+12\)

Step 2: Simplifying right hand side.

\(5m-2m+3=11\)

Step 3: Simplifying left hand side.

\(3m+3=11\)

These steps are already given. So, the next step is:

Step 4: Subtracting 3 from both sides.

\(3m=8\)

Therefore, the correct option is (b).

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

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I'm sorry the photo is on a side. I'm too lazy to text it on here lol

The area of the shaded region is 200. 96 square units

From the diagram shown, we have that the shape of the shaded area is spherical.

Now, the formula for calculating the area of a sphere is expressed as;

A = 4πr²

Such that the parameters of the formula are expressed as;

Substitute the values, we have;

Area = 4 × 3.14 × 4²

Find the squares, we have;

Area = 4 × 3.14 ×16

Multiply the values, we have;

Area = 200. 96 square units

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Answer:

the answer is c

Step-by-step explanation:

please mark this answer as brainliest

Answer:

The answer is c

Step-by-step explanation:

By moving 5 units to the right you lend at x-1 y-3

Answer:

Arc YX = 104°

Step-by-step explanation:

Arc YX + Arc YZ + Arc XZ = 360° (full circle = 360°)

Substitute

Arc YX + 110° + 146° = 360°

Arc YX + 256° = 360°

Arc YX = 360° - 256°

Arc YX = 104°

Answer:

Step-by-step explanation:

the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)

Answer:

nineteen

Step-by-step explanation:

ty for the points luv

Answer:

slope = 0

Step-by-step explanation:

Ans12 is 1 13 is 5 3 is 6

Step-by-step explanation:

Answer:

y = 11/5x + 64/5

Step-by-step explanation:

Slope=(4 - - 7)/(-4 - - 9) = (4+7)/-4+9)

= 11/5

y-intercept: -7-(11/5)(-9)

= -7 - - 99/5

= - 7 + 99/5 = (-7*57+99/5)

= 64/5

Answer:

i got new concwpt for my hw

Suppose she needs "x" liters of 10% acid and "y" liters of 70% acid.

Given,

or,

The end result should be 54% acid.

We can come up with an equation >>>>

We can easily solve this equation for "x". The steps are outlined below:

Now let's find "y":

Thus,

The mixture should be

Answer: 240 ft²

Step-by-step explanation:

Break the diagram into a rectangle and triangle:

Area of Rectangle + Area of Triangle = Total area of Wall

(20x10) + 1/2(20 x 4) = Area of wall

200 + 40 = Area of wall

240 ft² = Area of wall

Hare Krishna :)

Answer:

-28.4

Step-by-step explanation:

Remove parentheses:

(6.2+2+6)(-5+| -18÷6| )

Simplify 6.2 +2 to 8.2

(8.2+2+6)(-5+| -18÷6|)

Simplify  8.2+6 to 14.2

14.2(−5+∣−18÷6| )

Divide −18÷6= -3

14.2(−5+∣−3∣)

Simplify ∣−3∣

you get: 14.2 x (-5+3)

Remove parentheses and simplify -5+3= -2 to get:

14.2 x -2

Hope this helps!!

The limits of integration for the surface S are:x^2 + y^2 ≤ 64. Finally, we can evaluate the line integral using the given information and the limits of integration.

To use Stokes's Theorem to evaluate the line integral ∫c F · dr, we need to find the curl of F and the surface S that is bounded by the given curve C.

First, let's find the curl of F:

curl F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

∂Fz/∂y = 0

∂Fy/∂z = 0

∂Fx/∂z = 3x

∂Fz/∂x = 0

∂Fy/∂x = 3y

∂Fx/∂y = 1

Therefore, the curl of F is:

curl F = (3x)j + (3y)k.

Now, let's find the surface S. The equation of S is given by:

z = 64 - x^2 - y^2, z > 0.

This represents a paraboloid opening downward with vertex at (0, 0, 64).

To apply Stokes's Theorem, we need to find a vector normal to the surface S. Taking the partial derivatives, we have:

∂z/∂x = -2x

∂z/∂y = -2y

A normal vector to the surface S is then:

n = ∂z/∂x i + ∂z/∂y j + k = -2x i - 2y j + k.

Now, we can evaluate the line integral using Stokes's Theorem:

∫c F · dr = ∬S (curl F) · n dS.

Substituting the values we obtained:

∫c F · dr = ∬S ((3x)j + (3y)k) · (-2x i - 2y j + k) dS.

Now, we need to determine the limits of integration for the surface S. Since z > 0, we consider the region above the xy-plane.

The surface S is a portion of the paraboloid with z = 64 - x^2 - y^2. We can integrate over the region R in the xy-plane where the paraboloid intersects the plane z = 0.

Setting z = 0, we have:

0 = 64 - x^2 - y^2.

Simplifying, we get:

x^2 + y^2 = 64.

This represents a circle with radius 8 centered at the origin in the xy-plane.

Therefore, the limits of integration for the surface S are:

x^2 + y^2 ≤ 64.

Finally, we can evaluate the line integral using the given information and the limits of integration.

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Answer:

£8,489.66

Step-by-step explanation:

1+ 0.2=1.02

8000x1.02 ^3= £8489.664

simplified=£8,489.66

Hope it helped! :)

£8489.66

use a=p(1+(r/n))^nt

p (principal ampunt)= £8000

r (annual rate of interest as a decimal)= 2% which is written as a decimal 0.02

t= 3 years

n (number of times it is compunded a year)= 1

sub those values into the formula

A= 8000(1+0.02)^3

A=£8489.66

Answer: 10

Step-by-step explanation:6x-50=x

6x-50-(x)=0

We add all the numbers together, and all the variables

5x-50=0

We move all terms containing x to the left, all other terms to the right

5x=50

x=50/5

x=10

Answer:

You can also demonstrate a proof of the sum of interior angles of triangles and apply a formula, a + b + c = 180° a + b + c = 180 ° , where a , b , and c are the interior angles of the triangle.

The external auditor gathers a sample of shipping documents and matches them to entries in the sales journal to provide corroborating evidence that recorded sales represent authorized transactions.

This is because shipments of goods are recorded as sales, and shipments of goods are for authorized sales. Therefore, recorded sales were for goods that were shipped.In addition, it is essential to note that FOB (Free On Board) shipping point is a legal term that indicates that the buyer assumes ownership of the goods as soon as they leave the seller's dock. As a result, the buyer is responsible for paying for the transportation of the goods from the seller's location to their destination.

Therefore, when a rich company sells household goods and appropriately records its sales upon shipment, it indicates that the goods are shipped FOB (Free On Board) shipping point. This method is used to ensure that shipments of goods are for authorized sales and that recorded sales were for goods that were shipped.

The external auditor gathers a sample of shipping documents and matches them to entries in the sales journal to provide corroborating evidence that the recorded sales represent authorized transactions.

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Answer:

8x^2+122x-481

Step-by-step explanation:

you need to multiply these together to simplify.

(4x-13)(2x+37)

8x^2+148x-26x-481

8x^2+122x-481

not sure if this is what you were asking or if it needed to be graphed or what but i hope this helps?

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

Answer:

35 would be the answer I think