Directions are with the pic below. Please help with question #1.

First we have to split the spinner into two equal parts. One half belongs to the blue and red sections, and the other half belongs to the green and purple sections.

Formulating an equation for the first part, we have:

P(b) + P(r) = 0.5 ( P(b): probability of landing on blue section, P (r): probability of landing on red section)

P(r) + 1/2*P(r) = 0.5 ( Since it is half as likely to land on blue as to land on red)

3/2*P(r) = 0.5 (Adding like terms)

P(r)= 0.5 / (3/2) (Dividing on both sides by 3/2)

P(r)= 1/3 (Dividing)

P(b)=1/2*P(r) (Finding the probability of landing on blue section)

P(b)= 1/6

Formulating an equation for the second part, we have:

P(g) + P(p) = 0.5 ( P(g): probability of landing on green section, P (r): probability of landing on purple

section)

P(g) + 3*P(g) = 0.5 ( Since it is three times as likely to land on purple as green)

4*P(g) = 0.5 ( Adding like terms)

P(g) = 0.5/4 (Dividing by 4 on both sides of the equation)

P(g) = 1/8 (Dividing)

P(p) = 3*P(g) (Finding the probability of landing on purple section)

P(p)= 3/8

The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.

Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.

We calculate the square root of 172 to be:

√172 = 13.11487704860400

Reduce the tail of the answer above to two numbers after the decimal point: 13.11

Round 13.11 so you only have one digit after the decimal point to get the answer: 13.1

To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.

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The number of pieces of fish that would be there if Jorge divided each fish into tenths is 1730.

It is given that Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces.

We need to calculate the number of pieces of fish that would be there if Jorge divided each fish into tenths.

We know that each of the fish is divided into 10 parts.

The total number of fish available for the dog is 173.

The total number of pieces of fish is equal to the product of the number of available fish and the number of parts each fish is divided into.

The total number of pieces of fish is equal to 173*10.

The total number of pieces of fish is equal to 1730.

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If the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel.

The diameter of the Ferris wheel = 80 meters

The radius of the Ferris wheel = Diameter / 2

= 80/2

= 40 meters

The Total distance travelled by the rider in one revolution = The circumference of the wheel

The circumference of the wheel = 2πr

Where r is the radius of the wheel

Substitute the values in the equation

The circumference of the wheel = 2×3.14×40

= 251.2 meters

Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel

The complete question is :

If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?

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B) The data does not represent a proportional relation, but it has constant rate of change of $5 per shirt.

A)

Take number of T-shirts up to 3 and calculate their proportions.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Clearly the rate of T- shirts is not proportional.

B)

From option (A) we found the given data is not proportional but from the table given in question the rate of change of T- shirts is indeed $5.

C)

No, there is a constant rate of change of $5 as shown in the table below.

D)

No, the data does not represent a constant proportionality. The rate varies.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Rate of change is the rate that describes how one quantity changes relative to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change change=change in y / change x  

Rate of change can be positive or negative. This corresponds to an increase or decrease in the y-value between two data points. If a quantity does not change over time, it is called zero rate of change.

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Here the graph shows reflection across x - axis by 2 units.

f(x) = |x| => g(x) = -2|x|.

Here given the parent function, f(x)=|x|

The translation is , g(x)= -2|x|

Which is an absolute function.

Here the transformation is .

f(x)=|x|  => g(x)= -2|x|

The value of f(x) is reflecting over x- axis and value of y changes by 2 units.

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Step-by-step explanation:

lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer

The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = [tex]\sqrt[3]{1000}[/tex]

Therefore, each side is 10 inches.

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Answer:

$39.33

Step-by-step explanation:

11.25 + 12.50 +12.50 = 36.25

36.25 + 8.5% = 39.33

Answer:

(3,∞)

Explanation:

Given the function:

The graph of f(x) is attached below:

The interval when f(x) is increasing is therefore: (3,∞)

Event 4, Event 1, Event 3, Event 2

Number of black marbles in bag A = 11

Number of green marbles in bag A = 9

Total number of marbles in bag A = 11 + 9 = 20

Number of black marbles in bag B = 8

Number of green marbles in bag B = 2

Total number of marbles in bag B = 8 + 2 = 10

Event 1:

Likelihood of choosing a black marble from bag A = 11/20 = 0.55

Event 2:

Likelihood of choosing a black or green marble from bag A = 11/20 + 9/20

Likelihood of choosing a black or green marble from bag A = 0.55 + 0.45

Likelihood of choosing a black or green marble from bag A = 1

Event 3:

Likelihood of choosing a balck marble from bag B = 8/10 = 0.8

Event 4:

Likelihood of choosing a purple marble from bag B = 0

Since there is no purple marble in bag B

Arrangement of the events from the least likely to the most likely will be:

Event 4, Event 1, Event 3, Event 2

Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The labor of extending a spring is denoted by the formula:

So, calculate:

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

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The smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.

Adjusting a number's digits so that it produces an approximation of a result is known as rounding.

The given number is 380.

When rounding a number to the nearest ten, pay attention to the last digit; if it is less than five, round down; if it is five or more, round up.

Therefore, the smallest number that rounds to 380 when rounding to the nearest ten is 375.

Similarly, the greatest number that rounds to 380 when rounding to the nearest ten is 384.

Hence, the smallest and greatest number that rounds to 380 when rounding to the nearest ten are 375 and 384 respectively.

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The solution of x in the mathematical statement is 11.73

From the question, the mathematical statement is given as

x over 5 and 7 tenths equals 2 and 3 tenths.

When represented as an algebraic equation, we have

x/5.10 = 2.30

To start with, we multiply both sides of the equation by 5.10

This is represented as

5.10 * x/5.10 = 2.30 * 5.10

Evaluate the product on the left-hand side

So, we have

x = 2.30 * 5.10

Evaluate the product on the right-hand side

So, we have

x = 11.73

Hence, the value of x is 11.73

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The required simplified value of the given numeral is given as 13.11.

As given in the question, to determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The statment given in the word string, first transform the equation in the mathematical inscription,
So,
x / 5.7 = 2.3
Simplifying,
x = 5.7 × 2.3
x = 13.11

Thus, the required simplified value of the given numeral is given as 13.11.

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A' = (1, 3)

B' = (0, 6)

C' = (-3, 5)

D' = (-2, 2)

Hello!

Let's take this step-by-step:

The formula for the Area of the Triangle:

  [tex]Area = \dfrac{1}{2} *\text{Base} *\text{Height}[/tex]

In this case:

Let's plug in those value's into the equation:

    [tex]\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6[/tex]

Answer: [tex]x^2 + 5x +6[/tex]

Hope that helps!

Answer: D) 40

Step-by-step explanation:

mph (miles per hour)

60 minutes is an hour, so the number of miles above 60 minutes (which is 40) is the answer.

Hope this helps!

1. The mathematical expression for the length is C. 2x + 5.

2. The quadratic equation is A. 2x² + 5x - 18 = 0.

3. The width of the tarpaulin is A. 2 ft.

4. The length of the tarpaulin is D. 9 ft.

5. The perimeter of the tarpaulin is C. 22 feet.

From the information, the following can be deduced:

Width = x

Length = (2 × x) + 5 = 2x + 5

Area = 18 ft²

The equation will be:

Length × Width =Area

(2x + 5)x = 18

2x² + 5x = 18

2x² + 5x - 18 = 0

2x² - 4x + 9x - 18 = 0

2x(x - 2) + 9(x - 2)

Therefore, x - 2 = 0

x = 0 + 2 = 2

Width = 2

Length = 2x + 5 = 2(2) + 5 = 9ft

Perimeter = 2( Length + Width)

= 2(2 + 9)

= 22 feet.

This illustrates the concept of addition to calculate the perimeter.

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Dependent events;

The probability of one event DOES effect the probability of a 2nd event.

Independent events;

The probability of one event DOES NOT effect the probability of a 2nd event

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Answer:

Total pages read = 279 pages

Step-by-step explanation:

Let L, D, and M stand for the pages read by Luis, Dayja, and Michael, respectively.

We learn that:

L = 1.75D,            [Luis read 75% more pages than Dayja]

D = 1.75M, and    [Dayja read 75% more pages than Michael]

D = 84                  [Dayja read 84 pages]

We want the sum of L, D, and M

Total pages = L + D + M

We have three equations and 3 unknowns.  We should be able to find a solution by rearranging and substituting.

Total pages = L + D + M

We can substitute L=1.7D and rearrange D = 1.75 M to M = D/1.75

Total pages = L + D + M

Total pages = 1.7D + D + D/1.75

Total pages = D(1.7 + 1 + 1/1.75)  [Isolate the D, for optional simplification]

Total pages = D(3.271)

We know D = 84, so:

Total pages = 84(3.271)

Total pages = 274.8

We'll round that to 275 pages.

Check:

L = 1.75D:  L read 1.75*275 or 147 pages

D read 84 pages

D = 1.75M, or M = D/1.75;  M read 84/1.75) or 48 pages

Total pages read = 147 + 84 + 48

Total pages read = 279 pages

The values of variable x are x₁ = 16, x₂ = - 4.

The measure of angle R is 60°.

The lengths of side RS are RS₁ = 256 and RS₂ = 16.

The lengths of side RT are RT₁ = 256 and RT₂ = 16.

In this problem we need to find the values of four variables related to a triangle, which is seen in the picture, indicating an equilateral triangle. The solution of this question must be done by using definitions and theorems from Euclidean geometry:

Value of variable x

According to Euclidean geometry, the measures of the three sides in an equilateral triangle are the same. Then, the variable x can be found by solving the following equation:

RT = RS

x² = 12 · x + 64

x² - 12 · x - 64 = 0

(x - 16) · (x + 4) = 0

There are two possible solutions:

x₁ = 16, x₂ = - 4

Measure of the angle R

Equilateral triangles have three internal angles of 60°. Therefore, m ∠ R = 60°.

Length of side RS

There are two options:

RS₁ = 16²

RS₁ = 256

RS₂ = (- 4)²

RS₂ = 16

Length of side RT

There are two options:

RT₁ = 12 · 16 + 64

RT₁ = 256

RT₂ = 12 · (- 4) + 64

RT₂ = 16

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The length of the wall for the ladder reach will be 3.4 meter.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The foot of a ladder is 1.5 m from a vertical wall.

And, The ladder makes an angle of 68° with the horizontal.

Now,

By the figure,

The length of BC = 1.5 m

The measure of ∠ACB = 68°

So, Find the length of AC as;

cos 68° = 1.5 / AC

AC = 1.5 / 0.44

AC = 3.4 m

Therefore,

The length of the wall for the ladder reach will be 3.4 meter.

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Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

Answer:

x = -55

Step-by-step explanation:

Given equation,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

Now the value of x will be,

→ 5(2 - x) - 10 = 25 - 2(3x + 40)

→ 10 - 5x - 10 = 25 - 6x - 80

→ -5x + 6x = 25 - 80

→ [ x = -55 ]

Hence, the value of x is -55.

Okay, here we have this:

Considering the provided sequence, we are going to find the requested first five terms of the sequence, so we obtain the following:

So what we will do is replace n from 1 to 5, we have:

n=1:

an=4n-5

a1=4(1)-5

a1=4-5

a1=-1

n=2:

an=4n-5

a2=4(2)-5

a2=8-5

a2=3

n=3:

an=4n-5

a3=4(3)-5

a3=12-5

a3=7

n=4:

an=4n-5

a4=4(4)-5

a4=16-5

a4=11

n=5:

an=4n-5

a5=4(5)-5

a5=20-5

a5=15

Finally we obtain that the first five terms are: -1, 3, 7, 11, 15

Answer:

20 times 4

Step-by-step explanation:

suricce area

Answer:

yea, correct, perfect yes sir

Answer: 36 rides

Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.

The ball would bounce to a height of 0.92 feet at the 7th bounce

The given parameters are

Initial height = 3.75 feet

Rate of bounce = 79%

The height of the ball after n-th bounce is represented as

H(n) = A * rⁿ⁻¹

Where

In this case, we have

n = 7

So, we have

H(7) = 3.75 * (79%)⁷⁻¹

Evaluate the difference

H(7) = 3.75 * (79%)⁶

Evaluate the product

H(7) = 0.92

Hence, the height of the 7th bounce of the ball is 0.92 feet

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The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

It is known that [tex]log_{a}b[/tex] = c can be written as [tex]a^{c}[/tex] = b.

Given that, log(x^2 + 7) base 4 = 2​

Therefore, x² + 7 = 4²

x² + 7 = 16

x² = 16 - 7 = 9

x² = 9

x = ±3

Hence "The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3".

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Answer:

1/4

Step-by-step explanation:

The square root of 1/16 = 1/4

they probably