The quadratic expression 4x^2-7x-2 represents the area of a rectangular garden. What is the perimeter of this garden?

The formula for the nth term of each of the sequences are:

i) 1,2,4,8,16

First term, a = 1

Common ratio, r = 2/1 = 2

nth term = ar^(n -1)

= 1 × 2^(n - 1)

nth term = 2^(n - 1)

ii) 2,6,18,54,162

First term, a = 2

Common ratio, r = 6/2 = 3

nth term = ar^(n -1)

= 2 × 3^(n - 1)

nth term = 6^(n - 1)

iii) 12,36,108,324,972

First term, a = 12

Common ratio, r = 36/12 = 3

nth term = ar^(n -1)

= 12 × 3^(n - 1)

nth term = 36^(n - 1)

Therefore, the formula for the nth term of a sequence is ar^(n -1)

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Answer:

Step-by-step explanation:

Given:

Use formulas:

Substitute the known values:

Eliminate P and solve for r:

Solving the quadratic equation we get:

Now find P:

The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.

The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:

Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)

Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)

In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:

Px = (1 * 8 + 3 * 6) / (1 + 3) = 7

Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1

Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.

By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).

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Step-by-step explanation:

here is my answer.. i hope it can help.. correct me if im wrong..

To get the total number of different ways, multiply 1,536 x 18 = 7,344.

7,344 different ways. Raven has 19 choices for drinks, 12 choices for appetizers, and 8 choices for desserts. The formula for calculating the number of different ways is 19 x 12 x 8 = 1,536. Since Raven needs to pick 3 drinks, 3 appetizers, and 2 desserts, the formula is 3 x 3 x 2 = 18. To get the total number of different ways, multiply 1,536 x 18 = 7,344.

The formula can be used to calculate the number of different ways to combine any number of choices. For example, if Raven had 24 choices for drinks, 15 choices for appetizers, and 7 choices for desserts, the formula would become 24 x 15 x 7 = 3,240. If Raven still had to pick 3 drinks, 3 appetizers, and 2 desserts, the total would be 3 x 3 x 2 = 18. Multiplying 3,240 x 18 = 57,720 different ways.

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Answer:

It is increasing from -1 to 1.

It is decreasing from negative infinity to -1, then decreases again from 1 to positive infinity.

Finding out the opposite of a nonzero integer is easy (the number zero doesn't have an opposite, so that's why it's not included). It's simply a matter of adding or removing a negative sign.

The opposite of 4 is -4.

The opposite of -20 is 20.

The opposite of 256 is -256

And so on.

Answer

?

Step-by-step explanation:

Wheres The Question

The actual bill was $62.5.Actual Billed Amount refers to the total amount that the Company actually bills.

Actual Billed Amount refers to the total amount that the Company actually bills Customers for (a) Customer Services rendered to Customers, or (b) Customer Directed Payments, plus applicable Taxes thereon, as specified in the Service Bill rendered on the relevant Business Day. However, for the avoidance of doubt, in no case will an amount specified on a Service Bill that is a re-issuance of a previously billed Actual Billed Amount (for example, the re-issuing

Based on the given situation of Wendy

Formula: actual bill * ( 12% + 1 ) = Expected bill

Let the actual bill is 'y'

∴ y* (12% + 1 ) * 70

⇒y * 1.12 = 70

⇒ y = 70/ 1.12

⇒ y = 62.5

Hence, the actual bill was $62.5

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Answer:

Total number of side of regular polygon = 36

Step-by-step explanation:

Given:

Angle of rotation (regular polygon) = 10°

Find:

Total number of side of regular polygon

Computation:

Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)

Total number of side of regular polygon = 360° / 10°

Total number of side of regular polygon = 36

The value of the f(3) is -8 or f(3)=-8 if the equation of the function f(x) = -8(3)⁰ or f(x) = -8 option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

For the function, f(x) = -8

f(x) = -8

For all values of x:

The above function can be written as follows:

f(x) = -8x⁰

PLug x = 3 in the function:

f(x) = -8(3)⁰

f(x) = -8

Thus, the value of the f(3) is -8 or f(3)=-8 if the equation of the function f(x) = -8(3)⁰ or f(x) = -8 option (C) is correct.

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She will lay sod over area of 925.02 square feet of 3/4 of circle and triangle.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

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

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Now,

Sod will be laid over=3/4*circle + on triangle

=3/4*πr^2+1/2*base*height

=3/4*3.14*18*18+1/2*18*18

=763.02+162

=925.02 square feet

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Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

Answer:

g^3 - 7

Step-by-step explanation:

write

(2g^2+3g-8)-(5g+1)

(5g^3-8)-(5g+1)

and then you get g^3 - 7

sorry if it is not write but it should be

Answer:

I took apart the shapes to make them rectangular prisms then did length x width x height. Added both of the volumes of each cut down shape and put them in order. The image above this shows the volumes of each shape.

Please give brainliest if I helped! :)

False. You only flip when the number you are multiplying/dividing is negative.

Answer:

We need the options But I’m guessing 50 + x = 250

Step-by-step explanation:

The solutions to the equation 7cos(2t) = 3 in the interval from 0 to 2π (or 0 to 360 degrees) are approximately t = 0.93 and t = 5.36 (in radians).

To solve the equation 7cos(2t) = 3 using a graphing calculator, we can follow these steps:

Rewrite the equation as cos(2t) = 3/7.

Enter the function y = cos(2x) - 3/7 into the graphing calculator.

Set the window to go from x=0 to x=2π (or 0 to 360 degrees if your calculator is set to degree mode).

Use the calculator's "zero" or "root" function to find the x-intercepts of the graph.

Round the solutions to the nearest hundredth.

Using these steps, we find that the solutions in the interval from 0 to 2π are approximately 0.927 and 5.355 (in radians). Rounded to the nearest hundredth, these solutions are 0.93 and 5.36.

Therefore, the solutions to the equation 7cos(2t) = 3 in the interval from 0 to 2π (or 0 to 360 degrees) are approximately t = 0.93 and t = 5.36 (in radians).

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If Sam runs another mile every 10 minutes, From the 1st mile marker, Tyrone runs another mile every 6 minutes.  Sam and Tyrone meets after  45 minutes

The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.

Distance = Time × Speed

Given that,

Sam and Tyrone are running on a trail,

Sam reaches the 4th mile marker at the same time that Tyrone reaches the 1st mile marker

From the 4th mile marker,

Sam runs another mile every 10 minutes,

Speed =  distance/time  = 1/10 mile/minute

Tyrone runs another mile every 6 minutes,

Speed =  distance/time  = 1/6 mile/minute

Time when Sam and Tyrone meet = ?

Suppose,

When x distance covered by Sam then they will meet,

So,  That time distance covered by Tyrone will be, (4-1) + x

And time taken for it will be, t

Now it can be written as,

Time for Sam after 4th mile  = Time for Tyrone after 1st mile

x/(1/10)   =  (3 + x)/(1/6)

10x  =   6(3 + x)

10x  =  18 + 6x

4x  = 18

x  = 9/2

Time t =x/(1/10)   =  (3 + x)/(1/6)

 t =  (9/2)/(1/10)

t = 45 minute

Hence, After 45 minutes they will meet

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The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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Answer:

76

Step-by-step explanation:

80-4=76

Answer:                       ✥                     ✦                       ☆                  ❃       ✻          

The florist sold 76 roses.            ✿                     ✿                 ❋              ✯      

Step-by-step explanation:

I hope it helps you!

\(*GraceRosalia*\\IAmAnAceIWillHelpYouDon'tWorry\)

Answer:

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Step-by-step explanation:

Answer:160

Step-by-step explanation:

Inscribed angles are equal to 1/2 the circumference of the circle it encompasses.

Since “y” is directly across from inscribed angle 80, “y” is double that of the angle measuring 80.

Answer:

D

Step-by-step explanation:

y = 3x - 2 intercepts the y axis at -2

y = -2x + 3 intercepts the y axis at 3

the lines which satisfy these conditions intersect at point D

The equation "theta=pi/4" does not define a surface.

The variable theta typically represents the polar angle in spherical or cylindrical coordinates and does not uniquely determine a surface.

To define a surface, additional equations or constraints are needed, such as equations involving the radial distance and/or the azimuthal angle.

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Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm