Analyze the sequence 243, 162, 108, 72,…

0.48 cents per pound.

For this case we must find the unit cost of bananas, that is, one pound of banana. For this, we make a rule of three:

4lb -----------> $ 1.92

1lb -----------> x

Where the variable "x" represents the cost of a pound of banana.

[tex]x = \frac {1 * 1.92} {4}\\x = 0.48[/tex]

Thus, the banana pound costs $ 0.48.

If we round we have $ 0.50

ANswer:

$ 0.48

Answer

96 inches cubed

Step-by-step explanation:

Ok, same way of solving then. Just with a few more useless numbers. Take rectangular prism A, 6in x 3in x 3in, you will get 54in^3.

Then take prism B, 2in x 3in x 7in, you will get 42in^3.

Finally, take those two numbers, add them, and you end up with 96in^3

Answer:

You need 8 2 metre face panels and 2 1 metre face panels

This is because the 2 metre face panels will completely cover the both of the 4 metre sides, and almost cover the 5 metre sides.

Then you will need 1 2 metre face panel for each of the 5 metre sides to complete the fence.

Hope I helped

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10/6=5/3=15/9

Answer:

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

In similar figures sides are in proportion .The given rectangle A has length and width in the ratio 10:6=5:3.

For option A ratio of sides for the rectangle = 9:6=3:2

For option B ratio of sides =15:9=5:3

For option C ratio of sides =14:7=2:1

For option D ratio of sides =12:8=3:2.

Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.

Hence the two rectangles are similar.

1)Plane

2)Perpendicular Lines

3)Parallel lines

4)Circle

5)Angles

Final answer:

The five geometric terms—Plane, Perpendicular Lines, Parallel Lines, Circle, and Angle have been matched with their respective definitions using principles of Euclidean geometry.

Explanation:

Matching the geometric terms with their definitions will allow you to better understand the basic concepts of Euclidean geometry.

Plane: A flat surface that extends infinitely and has no depth; it has length and width.

Perpendicular Lines: Two lines that intersect at 90° angles.

Parallel Lines: Two lines that lie within the same plane and never intersect.

Circle: A set of all points in a plane that are a given distance from a point.

Angle: A figure consisting of two rays with a common endpoint.

Now you can match the terms to their definitions:

Plane - Definition 1

Perpendicular Lines - Definition 2

Parallel Lines - Definition 3

Circle - Definition 4

Angle - Definition 5

Answer:

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

From figure we can see a square pyramid with base edge 8.2 and slant height 10.3

Points to remember

Total area of square pyramid = Base area + Lateral face area

Lateral face area = 4 * One face area

To find the lateral face area

The face is like a triangle with base 8.2 and slant height = 10.3

Area of triangle = bh/2

Face area = 1/2(8.2) (10.3)

Lateral surface area = 4[1/2(8.2) (10.3)]

To find the base are

Base is a square with base edge = 8.2

Base area = side * side = (8.2)(8.2)

To find the total area of pyramid

Total area = Base area + Lateral face area

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Therefore the correct answer is first option

Answer:

(8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

a. i tooke

Answer:

1. 1363.922

2. -52

3. 254.25

1/4 cup is equal to 0.125 pt

Answer:

17.3 in

Step-by-step explanation:

(a) Diagonal on a face

First, we calculate the diagonal f on a face of the cube.

a² + a² = f²

       f² = 2a²

(b) Diagonal of the cube

Consider the triangle made by the diagonal d, diagonal f, and the edge of the cube

                                                            d² =  f²   + a²

Substitute the value of f²                   d² = 2a² + a² = 3a²

Take the square root of each side     d = a√3

Substitute the value of a                     d = 10√3 = 10 × 1.732 = 17.3 in

The diagonal of the cube is 17.3 in.

Here is your answer. x^5-3x^4+6x^2+x-9

14% of 40,000,000 is 5,600,000

Answer:

55.2

Step-by-step explanation:

This question can be solved using pemdas. In order of operations, parenthesis come first. So you will do -6.8 + 10.4 to get 3.6. From there it goes to exponents (none), then to multiplication. So multiply 3.6 by 1/4, or .25 to get 0.9. Then just add .9 onto 54.3 to get 55.2 and that's your answer!

Hope this helped, please mark brainliest i need to feed my family ^_^

Answer:

The answer comes out as 0.

Step-by-step explanation:

An example is 1 which the opposite is -1. Add them together, what do you get? 0.

Answer:

when its added to its opposite it becomes zero oviousldsfyasld;fjkl;aly

b + -b = 0

7 + -7 = 0

Answer:

540g flour

4tsp baking powder

8tbsps sugar

520mL milk

4 eggs

8tbsps oil

Step-by-step explanation:

To find out how many times he would need to make the recipe, we can divide   20 by 5:

[tex]\frac{20}{5} =4[/tex]

Now we know that Sanjay must make the recipe four times to make 20 pancakes. We need to multiply each value by 4 to get how much he needs to make 20.

[tex](4)(135)=540\\(4)(1)=4\\(4)(2)=8\\(4)(130)=520\\(4)(1)=4\\(4)(2)=8[/tex]

Sanjay can make 20 pancakes by multiplying each ingredient in the original recipe for 5 pancakes by 4. This gives 540 g flour, 4 tsp baking powder, 8 tbsps sugar, 520 ml milk, 4 eggs, and 8 tbsps oil.

To adjust the quantities of ingredients for a recipe to make a different number of servings, we multiply the amounts of each ingredient by the factor that represents how many times the original number of servings we want to make. Sanjay's goal is to make 20 pancakes instead of 5, which is 4 times the original recipe. We'll multiply each ingredient quantity by 4 to find out how much of each is needed for 20 pancakes.

Multiply the amount of flour (135 g) by 4 to get 540 g of flour.

Multiply the amount of baking powder (1 tsp) by 4 to get 4 tsp of baking powder.

Multiply the amount of sugar (2 tbsps) by 4 to get 8 tbsps of sugar.

Multiply the amount of milk (130 ml) by 4 to get 520 ml of milk.

Multiply the amount of eggs (1 egg) by 4 to get 4 eggs.

Multiply the amount of oil (2 tbsps) by 4 to get 8 tbsps of oil.

Answer:

Perimeter=10

Step-by-step explanation:

The reason i got this was because a rectangles area is base times hight. Also if you draw a rectsngle and make it into 3 rows and 2 colums the area would be 6, and if you count the outside not including the very corners, you will get a perimeter of 10

Answer:

x = (1/2)(ln 3)

Step-by-step explanation:

Please indicate exponentiation using the symbol " ^ ":

5e^(2x) - 4 = 11

To solve this, add 4 to both sides, obtaining:   5e^(2x) = 15

Next, divide both sides by 5, obtaining                e^(2x) = 3

Now take the natural logarithm (ln) of both sides:

2x = ln 3

Finally, divide both sides by 2, obtaining:           x = (1/2)(ln 3)

This last result is approx. equal to 0.549

Answer:

It's C) x= in3/2

on Edg.

Answer:

[tex]\frac{DE}{PQ}=\frac{3}{2}[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In his problem

If Triangles DEF and PQR are similar

then

The corresponding sides are

DF and PR

FE and RQ

DE and PQ

so

[tex]\frac{DF}{PR}=\frac{FE}{RQ}=\frac{DE}{PQ}=\frac{3}{2}[/tex]

Answer: [tex]\bold{\large{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]

Step-by-step explanation:

[tex]\sqrt{ab}=(ab)^{\frac{1}{2}}=\large{\boxed{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]

Answer: 5%

Step-by-step explanation: In order to calculate the percentage of the discount we need to first calculate the amount of the discount.

$47.26 - $44.90 = $2.36 discount amount

In order to calculate the percentage of the discount you must divide the discount amount by the original cost.

$2.36 / $47.26 = .0499 = rounded off to a 5% discount

Answer:

The decrease is by 5%.

Answer:

unknown

Step-by-step explanation:

your question may be incomplete

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation: [tex]y=3x+5[/tex]

Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:

[tex]y=3x+b[/tex]

where b is any real number.

Answer:

(3)*(4)*(3) = 36 different meal combinations

Step-by-step explanation:

Course  -    Number of dishes

Appetizer              3

Main course       4

Dessert               3

Since we can choose any combination of dishes, we have

3 possibilities for the appetizer,  4 possibilities for main course and three possibilities from dessert.

3 and 4 and 3

3 ∧ 4∧ 3

(3)*(4)*(3) = 36

Answer: 36

Step-by-step explanation:

Given: Julius is going to have a multi-course meal.

The following table shows how many different dishes are offered for each course.

Course                       Number of dishes

Appetizer                          3

Main course                     4

Dessert                             3

Now, the different meal combinations for Julius is given by :-

[tex]3\times4\times3=36[/tex]

Hence, there are 36 different meal combinations .

Answer:

$842.8

Step-by-step explanation:

It says that Katie already paid the 14% of the item as a down payment, so she needs to pay the remaining 86% of the item.

To get that, it is:

$980 x 86% = $842.8

Answer:

The measure of the longer base is [tex]9\ cm[/tex]

The picture of the problem in the attached figure

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1 ----> the measure of the shorter base

b2 ----> the measure of the longer base

h ---> is the height

In this problem we have

[tex]A=30\ cm^{2}[/tex]

[tex]b1=6\ cm[/tex]

[tex]h=4\ cm[/tex]

substitute the values and solve for b2

[tex]30=\frac{1}{2}(6+b2)4[/tex]

[tex]15=(6+b2)[/tex]

[tex]b2=15-6=9\ cm[/tex]

The measure of the longer base is:

                            9 centimeters

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

[tex]\text{Area of trapezoid}=\dfrac{1}{2}\times (b+b')\times h[/tex]

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.  

[tex]30=\dfrac{1}{2}\times (b+6)\times 4\\\\30=2(b+6)\\\\b+6=\dfrac{30}{2}\\\\b+6=15\\\\b=15-6\\\\b=9\ \text{centimeters}[/tex]

Answer:

201.06ft^2

Step-by-step explanation:

The formula for the area of a circle is pi*r^2

We just plug in 8 for r and we get our answer.

Answer:

The correct answer is,

area of given circle = 200.96 feet square

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where r is the radius of circle

To find the area of given circle

Here radius r = 8 feet

Area = πr² = 3.14 * 8² = 3.14 * 64

 = 200.96

Therefore area of given circle = 200.96 feet square

Answer:

5x = 100°

4x = 80°

Step-by-step explanation:

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

[tex]5x+4x=180[/tex]

[tex]9x=180[/tex]

[tex]x=\frac{180}{90}[/tex]

[tex]x=20[/tex]

Finding the measure of both the angles:

[tex]5x = 5(20) =[/tex] 100°

[tex]4x = 4(20) =[/tex] 80°

Answer:

<ABD = 100° and <CBD = 80°

Step-by-step explanation:

From the given figure we can see a linear pair

To find the value of x

The given two linear pair angles are,

1). 5x°

2) 4x°

The sum of linear pair angles is 180°

Therefore we can write,

5x + 4x = 180

9x = 180

x = 190/9 = 20°

To find two angles

<ABD = 5x = 5 * 20 =  100° and

<CBD = 4x = 4 * 20 = 80°

Therefore two angles are, <ABD = 100° and <CBD = 80°

Answer:

1200 inches cubed.

Step-by-step explanation:

You literally multiply what the measurements are. :)

The maximum height occurs at the vertex found using t = -b/2a

Solve for t

t = -20 / 2(-5) = -20/-10 = 2 seconds.

Now replace t with 2 in the original equation to solve for the height:

h(t) = -5t^2 + 20t + 110

h(2) = -5(2)^2 + 20(2) +110

h(2) = -5(4) + 40 + 110

h(2) = -20 + 40 + 110

h(2) = 130

Travis only threw the spike 130 meters. Since Laura is at 135 meters, the spike did not reach her.

Answer:

The correct answer would be D they are vertical angles because their vertex touch

Step-by-step explanation:

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles opposite to each other at the intersection of two lines.

Answer:

1.the slope of the function f(x) is greater than the slope of the function g(x)

2. the y intercept in the function g(x) is the greater

Step-by-step explanation:

1. plot the graph for the function f(x)

identify points in on the line, i.e (2,6) and (1,0)

find the slope of function f(x)= change in y/change in x

m=(6-0)/2-1 = 6

equation for the function f(x)=   {y-6/x-2}=6

y-6=6x-12

y=6x-6

2. the equations for functions

f(x) is given by y=6x-6

g(x) is given by y=2x+6

y intercept for f(x) =- 6

y intercept for g(x)= +6

g(x) has greater y intercept.

QUESTION A

We can use any two points from the table to determine the slope of the linear function represented by table.

We use (0,-6) and (1,0).

We use the formula,

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{0 - - 6}{1 - 0} = 6[/tex]

For the second function

[tex]g(x) = 2x + 6[/tex]

This function is of the form;

[tex]y = mx + c[/tex]

where

[tex]m = 2[/tex]

is the slope.

The slope of f(x) is greater than the slope of g(x).

Part B

At y-intercept , x=0.

From the table, x=0 when y=-6.

Therefore f(x) has y-intercept -6.

For

[tex]g(x) = 2x + 6[/tex]

the y-intercept is 6.

Therefore g(x) has greater y-intercept.