What is the value of z? (The figure May not be drawn to scale.)

Answer:

8, 16, 32

Step-by-step explanation:

using the recursive formula [tex]U_{n+1}[/tex] = 2[tex]U_{n}[/tex] and U₁ = 4 , then

U₂ = 2 U₁ = 2 × 4 = 8

U₃ = 2 U₂ = 2 × 8 = 16

U₄ = 2 U₃ = 2 × 16 = 32

Equation of the line - 8 + x = 4y - 16

x- intercept, at y = 0:

y- intercept, at x = 0:

The points are (0, 2) and (- 8, 0), plot them and connect to get the graph.

The graph that connects points (-8,0) and (02) is shown below

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

-8+x=4y-16

x- intercept, at y = 0:

- 8 + x = 4(0) - 16

x = - 16 + 8

x = - 8

y- intercept, at x = 0:

- 8 + 0 = 4y - 16

4y = 16 - 8

4y = 8

y = 2

The points are (-8,0) and (02)

So, the graph that connects points (-8,0) and (02) is shown below

To know more about Equation on:

https://brainly.com/question/187506

#SPJ1

The value of g in the 20 sided regular polygon is 54.

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.

Therefore, let's find g.

The sum of interior angles of a 20 sided polygon is as follows:

180(n - 2) = 180(20 - 2) = 180(18) = 3240

Therefore,

each angle = 3240 / 20 = 162

Hence,

162 = 3g

g = 162 / 3

Therefore,

g = 54

learn more on regular polygon here: brainly.com/question/16992545

#SPJ1

The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expression is given below.

⇒ 32z - 48

The expression can be rewritten as,

⇒ 32z - 48

⇒ 16 · 2z - 16 · 3

⇒ 16 (2z - 3)

The factor of the expression 32z - 48 will be 16 and (2z - 3). And the greatest common factor is 16.

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

#SPJ1

The distance of PR is 21

Given,

The points P, Q, R and S all lie on the same line segment.

The ratios;

PQ:QR:RS = 1:3:1.

Distance of PS = 35

We have to find the distance of PR.

A line segment is a piece of a straight line that has all of the points on the line contained within and is bounded by two distinct endpoints. A line segment's length is determined by the Euclidean distance that separates its two ends.

Here,

PQ : QR : RS = 1 : 3 : 1.

Now let PQ = x, QR = 3x and RS = x.

Therefore,

PQ + PR + RS = PS.

x + 3x + x = 35

5x = 35

x = 7

Therefore,

PR = 3x

PR = 3 × 7

PR = 21

The distance of PR is 21

Learn more about line segment here;

https://brainly.com/question/28793582

#SPJ1

Answer:

∅

Step-by-step explanation:

set up your equation which will be [tex]\frac{-2-5}{-4+4}[/tex]  which is undefined because denominator cannot be 0

Answer:

$5.92

Step-by-step explanation:

1.6 lbs. + 2.4 lbs. = 4 lbs.              

4 x 1.48 = 5.92

Since it doesn't specify whether the oranges and apples cost differently you can add both of them. Then you multiply it by 1.48 because that's the cost per pound.

The equation of a line is the mathematical function of a line thus the equation of the line that passes through the points (-4, -6) and (2, 8) will be y = (14/6)x + 10/3.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A linear equation or function is given as ;

y = mx + c

Here, m is the slope and is given as (y₂ - y₁)/(x₂ - x₁).

The slope of the line passing through (-4, -6) and (2, 8) will be,

m = (8 + 6)/(2 + 4)

m = 14/6

So, y = (14/6)x + c

Substitute,  (2, 8)

8 =  (14/6)2 + c

c = 8 - 14/3 = 10/3

Therefore, y = (14/6)x + 10/3

Hence "The equation of a line is the mathematical function of a line thus the equation of the line that passes through the points (-4, -6) and (2, 8) will be y = (14/6)x + 10/3".

For more about the equation,

brainly.com/question/10413253

#SPJ1

1/36 is the probability that you score 4 points both times.It is the likelihood of scoring four points twice.

1/6 * 1/6 =1/36

The probability of an event occurring is measured by its probability. It determines the probability of an event. The probability calculation is P(E) = Number of Favourable Outcomes/Total Outcomes.A game is a formalized form of play that is frequently done for amusement or fun but can also serve as a teaching game tool.

learn more about probabilty from here:

https://brainly.com/question/14210034

#SPJ4

Answer:

15c + 19d

Step-by-step explanation:

Here to simplify we have to add like-terms

3c + 14d + c + 11c + 5d = ( 3c + c + 11c) + ( 14d + 5d) = 15c + 19d

Glad to Help

An equation in slope-intercept form that represents the situation is C(x) = -267 + 6x.

A linear equation is an equation that has a single variable that is raised to the power of one. When shown on a graph, a linear equation is a straight line that can slope either upward or downward.

The general form of a linear equation is

y = mx + b

Where:

Slope = change in the chirps / change in the temperature

Slope = (117 - 99) / (64 - 61)

Slope = 18 / 3

Slope = 6

99 = a + 6x

99 = a + 6(61)

99 = a + 366

a = 99 - 366

a = -267

C(x) = -267 + 6x

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

The value of the expression −2(42−7)+(−5) is -75.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, we want to calculate the value of the expression:

−2(42−7)+(−5)

= -2(35) + (-5)

= -70 - 5

= -75

The value is -75.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The probability that a randomly selected student likes neither rock nor country is taken as;

P(R' ∩ C') = 0.326

Let us denote them as follows;

Number that like to be rock music be - R

Number that like to be Country music be - C

Number that like to be Jazz music be - J

Thus, as we are given and we have;

R is equal to 206

C is equal to 161

J is equal to  118

P(R') =206

P(C') =161

P(R' ∩ C') = 0.326

So, now P is removed  

R ∩ C = 30 - 11 = 1

Hence the answer is none of the above

To learn about more this probability https://brainly.com/question/24756209

#SPJ4

The dimension of pen that maximize the area is 150 ft by 150 ft.

What is the dimension of a area?

In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.

Given the perimeter of the rectangular is 600 ft.

Assume that the length of the rectangular be l and the breadth be b.

The perimeter of the rectangular is 2(l+b).

According the question:

2(l+b) = 600

Divide both sides by 2:

(l+b) = 300

l = 300 - b

The area of rectangular is A = lb

Substitute the value of l in the above equation:

A = (300 - b) b

A = 300b - b^2

The maximum value of a quadratic polynomial Ax^2+BX+C is at x = - B/(2A).

Compare Ax^2+BX+C  with 300b - b^2:

A = -1 and B = 300.

Putting A = -1 and B = 300 in b= - B/(2A).

b= - 300/(2×(-1))

b = 150.

Putting b =150 in l = 300 - b

l = 300 - 150

l = 150

The dimension is 150 ft × 150 ft.

To learn more about maximize area, you can visit:

https://brainly.com/question/17096963?

#SPJ4

Using the exterior angle theorem, the measure of angle WXY is calculated as: 20°.

Given the triangle in the image below has the following:

According to the exterior angles theorem, the sum of the two remote angles would be equal to the measure of the exterior angles, therefore:

10x - 5 = 3x + 2 + 3x + 17

Combine like terms

10x - 5 = 6x + 19

10x - 6x = 5 + 19

4x = 24

4x/4 = 24/4

x = 6

m∠WXY = 3x + 2 = 3(6) + 2

m∠WXY = 18 + 2

m∠WXY = 20°

Learn more about the exterior angle theorem on:

https://brainly.com/question/24756010

#SPJ1

Answer:

3 feet

1ft:2ft

Step-by-step explanation:

3ft/12 inches

12 inches= 1 foot

We can simplify the denominator by turning 12 inches into 1 foot

3/1

And then we divide to make 3 feet

The width of the rectangle is 12 inches and the length is 2 feet so the ratio is

12 in.:2 ft

12 inches can be simplified to 1 foot

1 ft: 2 ft

And it is simplified as much as possible

Hopes this helps please mark brainliest

The equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

According to the question,

We have the following information:

Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

Now, we have the following arithmetic progression with common difference, denoted by d:

22, 22.5, 23, 23.5, ...

Formula used to find the nth term:

an = a+(n-1)d where a is the first term

A) 22+(d-1)0.5 = 30

B) The plant still have to grow 8 cm because the difference between 30 and 22 is 8 cm.

C) Value of d:

22+(d-1)0.5 = 30

22+0.5d-0.5 = 30

21.5+0.5d = 30

0.5d = 30-21.5

0.5d = 8.5

d = 8.5/0.5

d = 17

Hence, the equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

To know more about equation here

https://brainly.com/question/14686792

#SPJ1

By using the concept of kinetic energy, it is obtained that

Kinetic energy of the  airplane when its velocity is 300 m/s is 20250 megajoule

What is Kinetic energy?

Kinetic energy is the energy possessed by the body by virtue of its motion

If m is the mass of the body and v is the velocity of the body, then kinetic energy is given by the formula

Kinetic energy = [tex]\frac{1}{2} \times m \times v^2[/tex]

Let the mass of the airplane be m kg

Velocity = 220 m/s

Kinetic energy = [tex]\frac{1}{2} \times m \times (220)^2[/tex]

By the problem,

[tex]\frac{1}{2} \times m \times (220)^2 = 10890\times 10^6[/tex]

[tex]m = \frac{10890\times 10^6\times 2}{220\times 220}[/tex]

m = [tex]0.45 \times 10^6[/tex] kg

Now,

Velocity = 300 m/s

Kinetic energy = [tex]\frac{1}{2} \times 0.45 \times 10^6 \times 300 \times 300[/tex]

                        = [tex]20250 \times 10^6[/tex] J

                        = 20250 mega joules

To learn more about Kinetic energy, refer to the link-

https://brainly.com/question/25959744

#SPJ13

The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.

A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.

Here,

1 3/4=7/4

7/4÷3/1,

a/b÷c/d=a/b*d/c

7/4*1/3=7/12

According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.

To know more about division,

https://brainly.com/question/21416852?referrer=searchResults

#SPJ13

Answer:

Step-by-step explanation:

Yes it does

10 and 15

Answer:

A. the independent and dependent variables are the number of miles and total fee (y = 2.8 + 3.5x)

B. the domain is 0 <= x <= 20 and  range is 2.8≤x≤20

Step-by-step explanation:

Answer:

what is your problem

Answer:

No solution

Step-by-step explanation:

The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.

Hope this helps.

The area of the contact paper required to cover the entire tabletop is 12.25 square feet.

Jamie has a tabletop that he wants to cover with contact paper. The length, width, and height of the tabletop are 3.5 feet, 3.5 feet, and 0.25 feet, respectively. We need to calculate the area of the contact paper required to cover the entire tabletop.

Let the area of the tabletop be represented by the variable "A". We need to calculate the area of only the top surface of the table. The table is rectangular in shape. The area of the tabletop must be the product of the length and the width of the table.

A = 3.5×3.5

A = 12.25

Hence, the area of the tabletop is 12.25 square feet.

To learn more about area, visit :

https://brainly.com/question/27683633

#SPJ9

The value of missing number is 8.

Integers come in three types:

Given:

6(-?)+1=-47

let the unknown value be x.

6(-x ) + 1= -47

Now, Subtract 1 from both side

-6x + 1 - 1= -47 - 1

-6x = -48

x= -48/(-6)

x = 8

Hence, -6(8) + 1 = -47.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ1

Answer:

4/3

Step-by-step explanation:

gradient=

[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]

7--5=12

16-7=9

12÷9=4/3

the gradient is the same as slope

thus the answer is 4/3

The area of hexagon is found to be 18 square units by using the giving conditions.

P = 6a, where an is the length of one of its sides, is the formula for a regular hexagon's perimeter. Here, the hexagon's interior angles are all 120 degrees.

Given: The perimeters of an equilateral triangle and a regular hexagon are equal.

We need to find the area of the hexagon.

Let,

x = side of trainagle

a = side of hexagon

3x = 6a

x = 2a

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4)x² = 12 square units

Area of hexagon is given as follows:

= 6([tex]\sqrt{3}[/tex]/4)a²

= (6[tex]\sqrt{3}[/tex]/4)(x²/4)

= 12(6)/4

= 18 square units

Therefore, the area of hexagon is found to be 18 square units by using the giving conditions.

Learn more about perimeter of hexagon here:

https://brainly.com/question/28821374

#SPJ4