What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?

Center (3.5); Radius 4

Center (-3,-5); Radius 4

O Center (3,5); Radius 16

O Center (3.5); Radius 10

Answer:

$57.84

Step-by-step explanation:

Note:

24% = .24

Question to Answer:

How much shipping and handling will Mike pay?

solution:

241 x .24 = 57.84

241 + 57.84 = 298.84

Hence Mike will pay $57.84 for shipping and handling.

Mike will pay $298.84  all together {Include shipping and handling}

Answer:

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2

(a-b)(a+b) = a^2 - b^2

Step-by-step explanation:

Answer:

y = ( x + 3 )( x + 5 )

Step-by-step explanation:

N/A

Answer:

\(y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3\)

Answer:

P(A n B) = 1/4

Step-by-step explanation:

We know that:

P(A U B) = P(A) + P(B) - P(A n B)

Substituting the given values, we get:

3/8 = 1/2 + 3/4 - P(A n B)

Simplifying, we get:

P(A n B) = 1/4

Answer: P ( A n B ) = 7/8

Step-by-step explanation:  P ( A U B ) = P(A) + P(B) - P( A n B )

                                                         3/8   =   1/2  + 3/4 - P( A n B )

                                                         3/8   =   5/4 - P ( A n B )

                                               P ( A n B )  =  5/4 - 3/8

                                               P ( A n B )  =   7/8

Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.

To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.

Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:

Amount to borrow = Total cost - $10.00

Amount to borrow = C - $10.00

By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.

Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.

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Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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Answer:

both of the answers are C.

The expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10

A line is the shortest distance between two points and the point where two lines meet is known as an angle

From the figure shown

m<2 = 58 degrees (alternate exterior angle)

Since the sum of angles on a straight line is 180 degrees, hence;

3x-1+<2 + 4x - 10= 180

3x-1 + 58 + 4x - 10 =180

7x + 47 = 180

7x = 180- 47

7x = 133

x = 19

Hence the expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10

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Answer:

angle 2=58 degrees

angle 1=4x-10 degrees

Step-by-step explanation:

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Answer:

y = -5/2x-2

Step-by-step explanation:

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.

A demand curve shows the quantity demanded of a product at each price.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

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The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

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Answer:

h(x)=20

Step-by-step explanation:

x=5

3(5)+5

15+5

20

Hope this helps!

Answer:20

Step-by-step explanation:

Hello!

So first you want to plug in 5 to all of the x

h(5) = 3(5) + 5

No you want to do 3(5)

3(5) = 15

h(5) = 15 + 5

Now you add 15 + 5

15 + 5 = 20

h(5) = 20

So your answer is 20

the probability that Ron will get in trouble with Professor Snape at least two times in one day is 0.7

We are given

  X    0         1        2         3        4

P(X)    0.15   0.20   0.20   0.30   0.15

we want Ron Weasley to get in trouble at least two time in one day

that mean X 2

P(X 2) = P(X=2) + P(X=3) + P(X=4)

= 0.20+0.30+0.15

= 0.65= 0.7 (rounded to nearest tenth)

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The number is 50.126.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

100 times my number is 12.6 more than 5000.

Now, 100 times my number

= 100x

12.6 more than 5000

= 12.6+ 5000

= 5012.6

So, 100x= 5012.6

x= 5012.6/100

x= 50.126

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If the length of each side of a cube is tripled, the volume of the cube will increase by a factor of 27.

The volume of a cube is given by the formula V = s^3, where s represents the length of each side.

Let's consider the initial volume of the cube as V1 and the new volume after tripling the side length as V2.

If we triple the side length, the new side length becomes 3s.

So, the new volume V2 can be calculated as V2 = (3s)^3 = 27s^3.

Comparing V2 to V1, we can see that V2 is 27 times greater than V1.

Therefore, the volume of the cube increases by a factor of 27 when the length of each side is tripled.

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here's the solution :

3 × 10³ times greater.

Answer:

3 × 10³ times greater

Step-by-step explanation:

\( \frac{9 \times {10}^{ - 4} }{ 3 \times {10}^{ - 7} } \)

\( = \frac{9}{3} \times {10}^{ - 4 + 7} \)

\( = \bold{ 3 \times {10}^{3}} \)

The elements most likely to combine with lithium (Li) and sodium (Na) in a one-to-one ratio to form iconic compounds are those in Group 17, known as the halogens. The halogens include fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (At).

These elements in Group 17 have one valence electron and tend to gain one electron to achieve a stable electron configuration, forming negatively charged ions known as halides. When lithium or sodium reacts with a halogen, they transfer their single valence electron to the halogen atom, resulting in the formation of ionic compounds.

For example, when lithium reacts with fluorine, they combine in a one-to-one ratio to form lithium fluoride (LiF), where lithium donates its electron to fluorine to form the Li+ cation and F- anion. Similarly, sodium reacts with chlorine to form sodium chloride (NaCl) by the transfer of one electron from sodium to chlorine.

Overall, elements from Group 17 (halogens) readily combine with lithium and sodium in a one-to-one ratio to form iconic compounds through the transfer of electrons, resulting in the formation of stable ionic compounds.

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The chance of the event B is 0.4 when using the probability for the two independent two event formula.

In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).

Events classified as independent do not depend on other events for their occurrence.

Event A's likelihood of happening is P(A)=0.65.

The likelihood of the two events A and B intersecting is P(A∩B)=0.26.

Given that the likelihood of the two independent events is:

P(A∩B) = P(A)⋅P(B)

Then the probability of the event B will be,

P(B) = P(A)/P(A∩B)

P(B) = 0.65/0.26

P(B) =0.4

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The length of the second pen is 11.25 units.

A rectangle is a polygon with four sides , the opposite sides are parallel and equal .

it is given in the question that

Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide

length new = 75% length initial

Length new = (75/100) * 15

Length new = 0.75 * 15

Length new = 11.25 units

The length of the second pen is 11.25 units.

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Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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To find the angle θ of the net force at time t = 6.87 s, we need to first find the x and y components of the net force, and then use the inverse tangent function to find the angle.

The x component of the net force is given by:

Fₙₑₜ,ₓ = m aₓ = (8.50 kg)(0.43 m/s² + 0.79 m/s³(6.87 s)) = 3.63 N

The y component of the net force is given by:

Fₙₑₜ,ᵧ = m aᵧ = (8.50 kg)(11.9 m/s² - 0.63 m/s³(6.87 s)) = 92.52 N

The magnitude of the net force is given by:

|Fₙₑₜ| = sqrt(Fₙₑₜ,ₓ² + Fₙₑₜ,ᵧ²) = sqrt(3.63² + 92.52²) = 92.67 N

The angle θ of the net force is given by:

θ = tan⁻¹(Fₙₑₜ,ᵧ / Fₙₑₜ,ₓ) = tan⁻¹(92.52 N / 3.63 N) = 86.5°Therefore, the angle θ of the net force at time t = 6.87 s is approximately 86.5° counter-clockwise from the +x-axis.

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The perimeter is the sum of the lengths of the sides of a closed plane figure.

The total distance from the outside of the closed figure is called the perimeter. Sum of all sides of a closed figure. The formula is: perimeter = sum of all sides

The units for the perimeter of a polygon remain the same as the units for each side. If the sides have different units, convert them to the same units and then find the perimeter.

A regular polygon has all equal sides. So if the polygon has 'n' sides, add the same length 'n' times. Perimeter of regular polygon = (length of one side) × number of sides

Example: Perimeter of regular hexagon is 6 × length of side

Total distance around polygon is. It can be found by summing all the sides of the polygon. Rectangle perimeter = 2( length + width)

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