The table shows the changes in the cost to mail a letter in the United States since 2000. What is the average rate change of cost with

Answer:

\(y = 30 + 8x\)

Step-by-step explanation:

Given

\(Base\ Amount = $30\)

\(Additional = \$8\) per pound

Required

Determine the graph

The cost (y) is calculated as thus:

\(y = Base\ Amount + Additional * x\)

\(y = 30 + 8* x\)

\(y = 30 + 8x\)

See Attachment for graph

Answer:

48%

Step-by-step explanation:

48/100 = 48%

Edit: the awnser is 64% because 48/75 = 64%

The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

At a coffee shop, the first 100 customers orders were as given.

Now,

Total customer = 100

Order hot median coffee = 48

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48 / 100

⇒ 0.48

⇒ 48%

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

I think its 2.8.

Reason why:

4/5 = 0.8

Then the 2 would a whole number...

so 2.8.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

For more questions on inequalities

https://brainly.com/question/25275758

#SPJ8

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

To know more about mean:

https://brainly.com/question/28108712

#SPJ1

Step-by-step explanation:

Heron's formula when all 3 sides (a, b, c) are given :

s = (a + b + c)/2

A = sqrt(s(s-a)(s-b)(s-c))

in our case

s = (34+73+89)/2 = 98

A = sqrt(98(98-34)(98-73)(98-89)) =

= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =

= sqrt(2×49)×120 = sqrt(2)×7×120 =

= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²

Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

Answer:

31.5%

Step-by-step explanation:

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

For more such questions on variable visit:

https://brainly.com/question/28248724

#SPJ8

The angles are vertical and share the same vertex.

_________________________________

ZXW and ZXY are right angles

Answer:

multiply the length by the width, and then multiply that by the depth

Answer:

X=22

Step-by-step explanation:

258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.

The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

Learn more about base of a function, click;

https://brainly.com/question/2456547

#SPJ1

Answer:

your answer is correct in your math problems you don't have to worry about it as long you did your homework the right way and follow instructions

I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)

Answer:

35 in.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So I don’t know if you don’t know how to do it but imagine right to explain it ... You good have to add oh yeah P2 together and all numbers together and all the p together see this is why I did use different colors. Have an amazing day :)

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

Learn more about trigonometric equation here:

https://brainly.com/question/28025415

#SPJ1

A function is defined as a relation between a set of inputs, each with an output. The sketch of the function f(x,y) = 9 - 9x² - y² is given below.

f(x,y) = 9 - 9x² - y²

Let the given function is equal to 0, Then

           9 - 9x² - y² = 0

                         y²  = 9 - 9x²

The function can be written as

                          y²  = 9 - 9x²

A function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input. Here's the technical definition of the function:

A relationship from a set of inputs to a set of possible outputs.

Learn more about the function in

https://brainly.com/question/12431044

#SPJ4

The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

Find out more on compounding quarterly at https://brainly.com/question/2455673

#SPJ1

Answer:

Step-by-step explanation:

There is 12 inches in a foot:  therefore, 12inches  x 7ft. = 84 ft.

Answer: 84 inches

Step-by-step explanation:

A conversion factor is a number that is used to multiply or divide one set of units into another.  For instance, 12 inches equals one foot when converting between inches and feet.

Since 1 foot = 12 inches

And we are trying to figure out how much inches are in 7 ft.

We can create a conversion (or cross multiply)

\(\frac{12}{1} =\frac{x}{7}\)

Where inches are in the numerator and ft are in demoninator.

When cross multiplying (multiplying in a diagonal) you get:

x = 84 inches

So 7 ft equals 84 inches.

---

A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.

--

Answer:

C) -7/6

Step-by-step explanation:

y+7/6x=3/2

y=3/2-7/6x

y=-7/6x+3/2

y=mx+b where m=slope and b=y-intercept

Thus m=-7/6.

Therefore, the slope is -7/6.

Answer:

6

-16

-5

0

Step-by-step explanation:

Step-by-step explanation:

(-2) + (+8) = 6

(-9) + (-7) = -16

(-4) + (-9) = -5

(-7) + (+7) = 0

For this case we know that the perimeter is given by:

And if we solve the algebra we got:

And we know that the perimeter is equal to the perimeter of a square of 9 of lenght and we know that the perimeter is:

We can set up the perimeter equal to this number we got:

Now we can solve for y we got:

Answer:

x = 23

Step-by-step explanation:

Same-side interior angles are supplementary (they add to 180°).

Using this knowledge, we can construct the equation:

(2x + 25)° + (3x + 40)° = 180°

First, combine like terms.

(2x + 3x)° + (25 + 40)° = 180°

5x° + 65° = 180°

Next, subtract 65° from both sides.

5x° = (180 - 65)°

5x° = 115°

Then, divide both sides by 5.

x° = (115/5)°

x° = 23°

Finally, remove the degrees from both sides.

x = 23

From the expression:

We can see there is a common factor for the two terms: x. Then, we can express the binomial as a producto of the common factor x and a new binomial. This new binomial is composed by the terms of the original one divided by the common factor. If we divide 6x^2 by x we obtain 6x, while dividing -13x by x, we obtain -13. Then, the factorization of the previous expressino will be:

Answer:

1) Therefore, the height of the waterfall above the observer is approximately 688.62 feet.

2) Therefore, the length of the arc intercepted by a central angle of I radians in a sector of a circular patio with a diameter of 24 feet is 12I feet.

Step-by-step explanation:

1)

1. Draw the Triangle  ABC

2. point A represents the top of the waterfall, point B represents the far      side of the pool, and point C represents the observer's position. We want to find the value of x.We know that the angle of elevation from point C to point A is 75°, so we can use the tangent function to relate the angle to the opposite and adjacent sides of the triangle

tan(75*)= opposite/adjacent

3. In this case, the opposite side is x (the height of the waterfall above the observer), and the adjacent side is the distance from the observer to the far side of the pool, which is given as 185 feet. So we can write:

tan (75*)= x/185

4. To solve for x, we can multiply both sides by 185:

x= 185* tan(75*)

5. Using a calculator, we can evaluate tan(75°) to be approximately 3.732, so:

x=185*3,732

6. The solution is 688.62 Feet

2)

1. The length of the arc intercepted by a central angle is given by the formula

length of arc = (central angle / 2π) * circumference of circle

2. n this case, the circular patio has a diameter of 24 feet, which means the radius is 12 feet. So the circumference of the circle is:

circumference = 2π * radius

circumference = 2π * 12

circumference = 24π

3. Now we need to find the length of the arc intercepted by a central angle of I radians. We can substitute these values into the formula:

length of arc = (I / 2π) * 24π length of arc = I * 12

4.So the length of the arc intercepted by the central angle is 12 times the measure of the angle in radians.

5.Therefore, the length of the arc intercepted by a central angle of I radians in a sector of a circular patio with a diameter of 24 feet is 12I feet.

Answer:

no solutions

Step-by-step explanation: