If you choose a number from the sample below, what is the probability of picking an odd number? (give answer as a percentage rounded to the nearest tenth) S = (3, 12, 15, 9,5, 14, 21, 17, 19) P(odd)

equation= y-y¹=m(x-x¹)

= y-4= 3(x-3)

y-4= 3x-9

y= 3x-9+4

y=3x-5

Answer:

-22

Step-by-step explanation:

Solve the expression using PEMDAS.

-19 + 3(-13 + 4 * 3)

~Multiply

-19 + 3(-13 + 12)

~Add

-19 + 3(-1)

~Multiply

-19 - 3

~Subtract

-22

Best of Luck!

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

is the question 2y - 117 - 4y

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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It seems you havent posted a graph

Answer:

c^{14/3}d^{8/3} OR c to the power of start fraction 14 over three end fraction end power d to the power of start fraction eight over three end fraction end power

Step-by-step explanation:

Given the expression (∛c)^7d⁴)², we are to simplify it. According to indices:

(ⁿ√a)^n= a^b/n and (a^m)^n = a^{mn}

Applying this in the question

(∛(c^7d⁴))²

=[∛(c^{7×2} × (d⁴)²]

=(∛(c^{14} × d^8)]

= [c^{14} × d^8]^1/3

= [c^{14/3} × d^{8×1/3}]

= c^{14/3} × d^{8/3}

= c^{14/3}d^{8/3}

Hence the resulting expression is c^{14/3}d^{8/3}

Answer: \(y=(8x)^{\frac{1}{3}} -1\) or \(y=\sqrt[3]{8x} -1\)

Step-by-step explanation:

To find the inverse, you switch y with x and x with y. Then, you solve for y.

\(y=\frac{1}{8} (x+1)^3\)          [switch y with x and x with y]

\(x=\frac{1}{8} (y+1)^3\)          [multiply both sides by 8]

\(8x=(y+1)^3\)           [cube both sides]

\(\sqrt[3]{8x} =y+1\)             [subtract both sides by 1]

\(y=\sqrt[3]{8x} -1\) or \(y=(8x)^{\frac{1}{3}} -1\)

The formula for the nth term of the arithmetic sequence is [-3]n+10

What is the nth term of an arithmetic sequence?

⇒ The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

Calculation:

It is given that the given sequence is an arithmetic sequence.

First term a1 = 7

Second term a2 = 4

Common difference d = 4-7

⇒ d=3

From the general formula,

an = a1 + (n - 1)d

On substituting,

an = 7+ (n-1)(-3)

an = 7-3n+3

an = -3n+10

⇒ Thus the general formula for the nth term of the arithmetic sequence  is -3n+10

an= [-3]n+10

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Answer:

The correct answer is - 900

Step-by-step explanation:

A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.

An n-digit palindrome is determined from the first  n/2  digits if n is even, and from the first n+1/2 digits if n is odd.

Therefore, if  n  is even, there are  9×10⁽n⁻²/²⁾  palindromes; and if n is odd, there are  9×10⁽n₋²/²⁾ palindromes.  where n is number of digits.

For  n=5 , there are  9×10²=900 palindromes

Answer:

A. It is not a function because 0 outputs multiple items

B. the domain seems to be 0,1,2,3

c.The range seems to be -2,1,2,4

Step-by-step explanation:

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The time it would take for the trains to pass each other, would be 58.54 minutes.

The trains were initially 200 km apart and so we need to find the time till they pass each other, with the speeds they are currently going at.

To find this time, we first need to find the combined speeds of the trains to be :

= 96 + 109

= 205 km / h

With the combined speed, the time till they pass each other would be:

= Distance between trains / Combined speed

= 200 / 205

= 58. 54 minutes

= 0. 98 hours

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The time it would take for the trains to pass each other, would be 58.54 minutes.

The trains were initially 200 km apart and so we need to find the time till they pass each other, with the speeds they are currently going at.

To find this time, we first need to find the combined speeds of the trains to be :

= 96 + 109

= 205 km / h

With the combined speed, the time till they pass each other would be:

= Distance between trains / Combined speed

= 200 / 205

= 58. 54 minutes

= 0. 98 hours

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The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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Answer:

-34/100 is the fraction in simplest form

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Distance is the total length covered by an object.

Displacement is the distance between the final point and the initial point.

The distance of the helicopter's flight is 150 m

The displacement of the helicopter's flight is zero.

Displacement is the distance between the final point and the initial point.

We have,

A helicopter lifts 75m vertically into the air and then comes back down to the ground.

Distance is the total length covered by an object.

Distance of the helicopter's flight.

= 75m + 75m

= 150 m

Displacement of the helicopter's flight.

= Final point - Initial point

= 0 - 0

= 0  

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The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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We have the next statement

For the first unknown value, we need to find a number that subtracting 15 is equal to 7. That number is 22.

For the second unknown value, -3 minus the unknown value is equal to -12. Therefore the result is 9.

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

9514 1404 393

Answer:

  C)  3 5-gallon cans and 2 1-gallon cans

Step-by-step explanation:

The surface area of one tank is given by the formula ...

  SA = 2πr(r +h) . . . . . where r is the radius and h is the height

The given tanks have a diameter of 6 ft, so a radius of 3 ft. The surface area of each one is ...

  SA = 2(3.14)(3 ft)(3 ft +6 ft) = 169.56 ft²

Then the area of 35 tanks is ...

  35 × 169.56 ft² = 5934.6 ft²

If each gallon of paint covers 350 ft², then the number of gallons required is ...

  (5934.6 ft²)/(350 ft²/gal) = 16.956 gal

To minimize cost, the largest possible number of larger cans should be purchased. The 17 gallons of paint required can be purchased at least cost by buying ...

The proportionality constant (mm to cm) is 10 and the complete table is -

9 cm                 90 mm

12.5 cm             125 mm

50 cm               500 mm

88.49 cm          884.9 mm

A proportional relationship between two variables {x} and {y} means that if {x} increases, then {y} increases with it proportionally.

Given is a proportional relationship between two scales.

{ 1 } -

We can write the proportionality constant (mm to cm) as -

{k} = (20 - 10)/(2 - 1)

{k} = 10

{ 2 } -

We can write the complete table as -

9 cm                  9 x 10 = 90 mm

12.5 cm             12.5 x 10 = 125 mm

50 cm               50 x 10 = 500 mm

88.49 cm          88.49 x 10 = 884.9 mm

Therefore, the proportionality constant (mm to cm) is 10 and the complete table is -

9 cm                 90 mm

12.5 cm             125 mm

50 cm               500 mm

88.49 cm          884.9 mm

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Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

A. The system has infinity many solutions.

we can conclude both rovers have the same road, and they started at the same time

Explanation

Step 1

Let

y represents the elevation

x represents the time

to solve for x, multiply equation(1) by -3 and then add the result to Equation (2)

when you get a solution like this

it means the system has infinite solutions,so the answer is

A. The system has infinity many solutions.

we can conclude both rovers have the same road, and they started at the same time.

I hope this helps you

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The probability that the sum of the ticket is 5, expressed as a percentage is 30%

The probability that an event will occur can be found by the ratio of the number of times the event occurs to the number of all possible events.

The five tickets in the box = 1, 2, 3, 4, 3

The tickets that sum to 5 are; 1 and 4, 2 and 3

The probability that the first ticket picked is 1 = 1/5

The probability that the next ticket picked is a 4 = 1/(5-1) = 1/4

Therefore, the probability of picking a 1 and 4 = (1/5) × (1/4) = 1/20

Similarly, the probability of picking a 4 and then a 1 is 1/20

The probability of picking tickets with numbers 1 and 4 in either order therefore = 2 × 1/20 = 1/10

The probability that the first ticket drawn is 2 = 1/5

The probability that the next ticket picked is a 3 = 2/(5-1) = 1/2

Therefore, the probability to draw a 2 and 3 = (1/5) × (1/2) = 1/10

The probability that the first ticket picked is 3 = 2/5

The probability that the next ticket picked is a 2 = 1/(5-1) = 1/4

Therefore, the probability of picking a 3 and 2 = (2/5) × (1/4) = 2/20 = 1/10

The probability of picking a 2 and a 3 in either order is therefore;

1/10 + 1/10 = 2/10 = 1/5

The probability that the sum of the ticket is 5, is the sum of the probabilities of picking a 1 and a 4 and the probability of picking a 2 and a 3, which is; 1/10 + 1/5 = 3/10 = 0.3

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Answer:

Step-by-step explanation:

let it passes through (-1,y1) and (2,y2)

\(slope=\frac{y2-y1}{x2-x1} =\frac{y2-y1}{2-(-1)} =\frac{y2-y1}{3} \\eq. ~of~line~is~\\y-y1=\frac{y2-y1}{3} (x+1)\\3y-3y1=xy2-xy1+y2+y1\\3y=(y2-y1)x+y2+4y1\)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

final price = $316.00

discount = 20% = 20/100 = 0.2

Step 02:

original price:

final price = original price - original price * discount

final price = original price (1 - discount)

316 = original price ( 1 - 0.2)

316 = original price ( 0.8 )

316 / 0.8 = original price

395 = original price

The answer is:

The original price is $395

Answer: Sydney made $111, Cassie made $37

Step-by-step explanation:

If Cassie's money is x, then Sydney is 3x. 3x - x = $74, so x = $37.