The formula for any geometric sequence is a n = a 1 · r n - 1 , where a n represents the value of the nth term, a 1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

an = 32 · 2n - 1
an = 2 · 4n - 1
an = 4 · (1/2)n - 1
an = 4 · 2n - 1

Answer:

d

Step-by-step explanation: im incorrect

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer: hi friend! What you have to do for 1 is

40-35(or division) and then you put your answer there. For number 2 you need to multiply 35x35(for Ray) and 40x32(for Ella) the you get your answer and then you subtract the answers

Step-by-step explanation:

Answer:

40-35(or division) and then you put your answer there. For number 2 you need to multiply 35x35(for Ray) and 40x32(for Ella) the you get your answer and then you subtract the answers

Step-by-step explanation:

Answer:

11 ratios of wax warmers: 55

Step-by-step explanation:

Ratio solution:

5*11

7*11

Answer: 55

Answer:

197.97

Step-by-step explanation:

197.97

Answer:

410.4

Step-by-step explanation:

So you just do 6 x 6 x 11.4 and you get the volume

Answer: d

Step-by-step explanation:

The system of linear equations is given as:

y = 1/4x - 1

x - 4y = 4

To find the solution, we can substitute y in the second equation with 1/4x - 1:

x - 4(1/4x - 1) = 4

x - x + 4 = 4

4 = 4

The equation 4 = 4 is always true, which means that the system of linear equations has infinitely many solutions.

Therefore, the answer is:

Infinitely many solutions.

An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:

x > 5.4

One-half less-than x

x > 0

Answer:

Dunes and beaches make up

nearly 1,800 of the 3,000 miles of

seacoast in the five Gulf states,

Georgia, and Puerto Rico. Erosion is

a problem on about 900 miles of

Atlantic and Gulf coast dunes and

beaches in these areas. With the

right kinds of native and naturalized

plants, much of this erosion can be

prevented.

This publication was written to

help people select and use plants to

stabilize and beautify dunes. It is

intended mainly for planners,

iandscapers, nursery operators,

developers, and homeowners. The

information applies to coastal dunes

and beaches of Puerto Rico, Texas,

Mississippi, Louisiana, Alabama,

Florida, and Georgia.

Using plants to control dune

erosion is a high priority of Soil

Conservation Service (SCS) plant

materials programs in coastal states

and the Caribbean Area. From 1973

to 1975, 191 representative dune

sites were studied in Georgia,

Florida, Alabama, and Puerto Rico

(4, 5, 6, 7, 8V These studies

identified more than 200 species of

native and naturalized dune plants

and were supplemented by less

detailed studies in Texas, Mississippi,

and Louisiana.

Of the plant species identified in

the SCS field studies, 43 have good

potential for dune revegctation

because of their favorable

characteristics for erosion control,

their frequency of occurrence, and

their dominance in the natural

ecosystem. This publication

describes each of these 43 plants,

their areas of occurrence, and

propagation techniques.

Ocean waves, littoral drift, and

other natural forces—as well as the

activities of people—determine the

adaptability and suitability of plants

for coastal dunes. This publication

explains how the dune ecosystem

and the actions of people must be

considered in planning revegetation.

It also discusses methods of

preparing the planting site and

establishing and maintaining the

plants.

SCS has selected some of the

featured plants for thorough testing

and comparison. Several years of

tests and field trials are required

before SCS and cooperating agencies

can identify superior plants and

release approved cultivars. These

cultivars are the source of

commercially produced seed and

planting stock used in local

conservation programs.

For further assistance in protecting

coastal dunes, contact your local

SCS office, which generally is listed

in municipal telephone directories

under "United States Government,

Department of Agriculture.

Step-by-step explanation:

Answer: See in the explanation, screenshot attached

Step-by-step explanation:

SQUARE QRTS

Step 1: Label all of  the coordinates

Step 2: Find the coordinates of the points

Q: (-2, 1)

R: (2, 1)

T: (-2, -2)

S: (2, -2)

Step 3: Know what it means to dilate

To dilate is to make a shape bigger or smaller. For example, when it says to dilate by a scale factor of 2, you multiply each coordinate by 2 to get coordinate pairs that are twice the original amount (in this case you make it bigger). However, if it says to dilate by a scale factor of a fraction, for example 1/2, you'd multiply the coordinates by 1/2 and hence make it smaller (1/2 its size).

Step 4: Dilate by a scale factor of 2--multiply by 2

*x stands for the x coordinate, and y stands for the y coordinate*

Q: -2, 1

x: -2x2= -4

y: 1x2= 2

[Dilated] Q: -4, 2

R: 2, 1

x :2x2= 4

y: 1x2= 2

[Dilated] R: 4, 2

T: -2, -2

x: -2x2= -4

y: -2x2=-4

[Dilated] T: -4, -4

S: 2, -2

x: 2x2= 4

y: -2x2= -4

[Dilated] S: 4, -4

Step 5: Plot the new pairs

(See screenshot)

SQUARE ABCD

Step 1: Label all the coordinates

Step 2: Find the coordinate pairs of the points

A: -3, 3

B: 3, 3

C: 3, -3

D: -3, -3

Step 3: Remember what it means to dilate

(See 1st explanation)

Step 4: Dilate by a scale factor of 1/3

**Since 1/3 is a fraction, we are making the square smaller, or making it ⅓ of its original size. You will see that the numbers of the coordinates get smaller once you dilate them.**

A: -3, 3

x: -3x1/3= -1

y: 3x1/3= 1

[Dilated] A: -1, 1

B: 3, 3

x: 3x1/3 = 1

y: 3x1/3= 1

[Dilated] B; 1, 1

C: 3, -3

x: 3x1/3= 1

y: -3x1/3= -1

[Dilated] C: 1, -1

D: -3, -3

x: -3x1/3= -1

y: -3x1/3= -1

[Dilated] D: -1, -1

Step 5: Plot the new pairs

(see screenshot)

Hope this helps :))

Also I worked pretty hard on this so brainiest would be appreciated :D

Answer:36cm

Step-by-step explanation:

You need to multiply 12x3 giving you 36 is the volume of the new pyramid

Answer:

The sum of the measure of the angles always equals 180 degrees.

Step-by-step explanation: 3 angles

Answer:

3

step by step instructions:

A Trying go Hey 3 angle when IH birthday bounded by a pair of adjacent sides.

Answer:

45.2

Step-by-step explanation:

Explanation:

The idea here is that you need to use the mass of water, the heat added to the sample, and the specific heat of water to find the resulting change in temperature.

The equation that establishes a relationship between heat absorbed and change in temperature looks like this

q

=

m

⋅

c

⋅

Δ

T

, where

q

- heat absorbed

m

- the mass of the sample

c

- the specific heat of water, equal to

4.18

J

g

∘

C

Δ

T

- the change in temperature, defined as final temperature minus initial temperature

Plug in your values and solve for

Δ

T

- do not forget to convert the added heat from kilojoules to Joules

q

=

m

⋅

c

⋅

Δ

T

⇒

Δ

T

=

q

m

⋅

c

Δ

T

=

1.0

⋅

10

3

J

50.0

g

⋅

4.18

J

g

∘

C

=

4.785

∘

C

So, if the temperature of the water changed by

4.785

∘

C

, and its final temperature is now

50.0

∘

C

, it follows that its initial temperature was

Δ

T

=

T

f

−

T

i

⇒

T

i

=

T

f

−

Δ

T

T

i

=

50.0

∘

C

−

4.785

∘

C

=

45.2

∘

C

Answer

i dont know , thats why im here

Step-by-step explanation:

Answer:

a 2E2

Step-by-step explanation:

\(\frac{2^{-3} }{2^{-5} }\)  When powers have the same bases and you are dividing, you subtract the exponents.

\(2^{-3 - -5}\) = \(2^{-3+5}\) = \(2^{2}\)

Answer:

7 units, 6 units, 12 units,

5 units, 13 units, 11 units

Step-by-step explanation:

In all triangles, the sum of any two sides of the triangle must be larger than the third.

We can test this by adding the shortest two sides of any triangle and see if this is true:

\(3+4\ngtr 8\implies \text{No triangle},\\7+6> 12\implies \text{Triangle possible}\checkmark,\\5+11>13\implies \text{Triangle possible}\checkmark,\\6+4\ngtr 12\implies \text{No triangle},\\6+4\ngtr 10\implies \text{No triangle}\)

Answer:

64

Step-by-step explanation:

For the area of the quilt to be square, the number of "Squares" must be a square number.  You must be able to take the square root and get an integer

35 is not a perfect square

84 is not a perfect square

64 is a perfect square  sqrt(64) = 8

Answer:

the awnser is simply B. 84

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

beause the relation ship is multiply by 3

-3 x (-3) = 9

-5 x (- 3) = 15

-7 x (-3) = 21

The missing value would be 15 from the given table which is the correct answer that would be an option (C).

In mathematics, relations are used to describe the link between the components of two sets. They aid in mapping items from one set (known as the domain) to elements from another set (known as the range), resulting in ordered pairs of the form (input, output).

Furthermore, functions are particular forms of relations that may be utilized to construct a connection between two quantities. A function is also referred to as a subset of a relation.

We have been given the table below:

 x      y

–3     9

–5     ?

–7     21

The given relationship is proportional.

Here if we multiplied by -3 to get the relationship

⇒ -3 × (-3) = 9

⇒ -5 × (-3) = 15

⇒ -7 × (-3) = 21

Therefore, the missing value would be 15 from the given table.

Hence, the correct answer would be an option (C).

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Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

Answer:

1.  -A * -B = C

2.  A * -B = -C

3.  -C -:- -B = A

4.  -C -:- B = -A

Step-by-step explanation:

Here ya go, hope this helps!

Here is an example of how to draw an isosceles trapezoid:

   _______

 /                 \

/_________\

In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.

An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.

Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.

Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:

Area = ((a + b) / 2) * h

Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.

PART B:

An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.

An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.

Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.

So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.

PART C:

No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.

The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.

Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.

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By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Answer:

15/16

Step-by-step explanation:

Answer:

-15/16 is the answer

Step-by-step explanation:

First, you do -5/8 divided by 2/3 which is -0.9375, and then that equals -15/16. Hope this helps!

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

In equilibrium, Lisa's marginal utility of pizza is 30 and her marginal utility of a burrito is 24, the price of a pizza is $5, and the price of a burrito is $4.

To find the price of a burrito,

Use the concept of marginal utility and the principle of equalizing marginal utility per dollar spent on each item in equilibrium.

Let's assume the price of a burrito is $x.

In equilibrium, Lisa's marginal utility per dollar spent on pizza should be equal to her marginal utility per dollar spent on a burrito.

Marginal Utility per Dollar of Pizza = Marginal Utility of Pizza / Price of Pizza

Marginal Utility per Dollar of Pizza

= 30 / $5

= 6

Marginal Utility per Dollar of Burrito = Marginal Utility of Burrito / Price of Burrito

Marginal Utility per Dollar of Burrito = 24 / $x

Now, according to the principle of equalizing marginal utility:

6 = 24 / $x

To solve for x (the price of a burrito):

x = 24 / 6

x = 4

Therefore, the price of a burrito is $4.

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Answer:

24 units³

Step-by-step explanation:

Formula:

Volume (V) = length (l) × width (w) × height (h)

V=3×4×2=24 units³

Answer:

the answer should be 24 units^3 because the formula for finding volume is V= lwh so we need to multiply 2 times 3 and 4 and when we do that we get an answer of 24 so a is the correct answer and have a great day.

Step-by-step explanation: