Question content area toppart 1think about the process  at a​ little-known vacation​ spot, taxi fares are a bargain. a ​24-mile taxi ride takes 32 minutes and costs 9.60 ​$. you want to find the cost of a ​47 taxi ride. what unit price do you​ need?question content area bottompart 1you need the unit price ​$

Solution:

\(y = \frac{1}{2}\)

Process of Solution:

1. Switch sides.

\(y-1=-\frac{1}{2}\)

2. Add 1 to both sides.

\(y-1+1=-\frac{1}{2} +1\)

3. Simplify.

\(y = \frac{1}{2}\)

Hope this helps!

Answer:

w = 98

Step-by-step explanation:

Similar Triangles

The triangles RST and VSU are similar because sides VR and RS are congruent, and sides UT and TS are congruent also.

The scale factor of both triangles is 2, which means all side lengths of the smaller triangle are half their corresponding sides of the bigger triangle.

Following that, we have:

UV = 2RT

Substituting:

w - 40 = 2(w - 69)

Operating:

w - 40 = 2w - 138

Simplifying:

2w - w = 138 - 40

w = 98

Answer:

• \((f+g) (x)\)  = \(9x + \sqrt{x} -2\)

• \((f-g)(x)\) = \(5x - \sqrt x - 2\)

Step-by-step explanation:

\(f(x) = 7x - 2\)

\(g(x) = \sqrt{x} + 2x\)

To calculate \((f+g) (x)\) and \((f-g)(x)\), we have to add and subtract \(f(x)\) and \(g(x)\) respectively:

• \((f+g) (x)\)

⇒ \(f(x) + g(x)\)

⇒ \(7x - 2 \: + \sqrt{x} + 2x\)

⇒ \(9x + \sqrt{x} -2\)

• \((f-g)(x)\)

⇒ \(7x - 2 - (\sqrt x + 2x)\)

⇒ \(7x - 2 - \sqrt x - 2x\)

⇒ \(5x - \sqrt x - 2\)

A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

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Answer:

−1, 2, −3; continues downward to the left and upward to the right

Step-by-step explanation:

The measure of the side 'x' is 16.31 m. The correct option is C.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.

Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.

The value of x will be calculated as,

sin65° = x / 18

x = 18 x sin65°

x = 16.31 m

Hence, the correct option is C.

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An Exponential Function that can depict this situation is \(A(t) = 25000(0.94)^{t}\)

What is an Exponential Function?

An exponential function is a mathematical function of the following form: \(f(x)=a^{x}\). where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula \(y=a(1-r)^{x}\) wherein y is the final amount, a is the original amount, r is the decay factor, and x(or t) is the amount of time that has passed.

Given :

The initial amount is 25,000, and the rate of decay is 6%, or 0.06.

Write the exponential Decreasing function.

\(A(t) = a(1-r)^{t}\)

Substitute 25,000 for a and 0.06 for r.

\(A(t)=25,000(1-0.06)^{t} = 25,000(0.94)^{t}\)

Hence , the Situation can be represented by \(A(t) = 25000(0.94)^{t}\)

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25.48 was spent on a pass and lunch for each student.

Total money spend on passes = 683.47

Total no. of people = 38 + 3

                                = 41

Money spend on pass for each person = 683.47/41

                                                                 = 16.67

Total money spend on lunch = 334.78

Total no. of students = 38

Money spend on lunch for each student = 334.78/38

                                                                   = 8.81

Total = 16.67 + 8.81

        = 25.48

Hence, 25.48 was spent on a pass and lunch for each student.

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Answer:

$4600

Step-by-step explanation:

We can find the amount Zach lost by just finding what 20% of $23,000 is.

So,

20% of 23000 = 20% x 23000 = 20/100 x 23000 = 1/5 x 23000  = 23000/5 = $4600

That's your answer.

Hope this helps.

Good luck on your assignment

Answer: $18,400

Step-by-step explanation:

20% of 23,000 is 4,600

23,000-4,600= 18,400

$18,400 is how much he lost that year

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Random means in this context is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

In a fair dice the chance of getting each number is same

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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the answer is 3/5 on slime

Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

Answer:

x= amount of subscriptions

y= total amount

m= $5 rate of change

b= $15 a starting point....

Eq: y=5x+15

Answer:

42.5389

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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STEP 1

Interpret question to make sense geometrically.

We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.

Note that this is a fraction of the total area of the circle.

This will be illustrated diagrammatically below

Area of a sector is given as:

STEP 2

Find unknown

The ci

Using a significance level of 0.05, the null hypothesis would be rejected for p-values less than 0.05.

Depends on if the p-value is less or more than the significance level:

Hence, the null hypothesis would be rejected for p-values less than 0.05.

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Answer:

9

Step-by-step explanation:

a = 3

6 + 3

= 9

Answer:

9

Step-by-step explanation:

6+3=9 six plus three will equal 9

Answer:

Step-by-step explanation: x = the number

8 + x/3 = -2

Multiply both sides by 3 and get

24 + x = -6

Solve for x:

x = -30

The statement "correlation is measured on a scale from 0 to 1, where 0 indicates no linear relationship between two variables, and 1 indicates a perfect linear relationship" is true.

The correlation coefficient, typically denoted as r, is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 represents a perfect negative linear relationship, 1 represents a perfect positive linear relationship, and 0 indicates no linear relationship or correlation between the variables.

A correlation coefficient of 0 means that there is no linear association between the variables being analyzed. As the correlation coefficient moves closer to 1 or -1, it indicates a stronger linear relationship between the variables. Therefore, the scale from 0 to 1 is commonly used to represent the extent of correlation, where 0 signifies no linear relationship and 1 signifies a perfect linear relationship.

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Answer:

The length of the ladder is 13 feet

Step-by-step explanation:

Here, we are interested in calculating the length of the ladder.

To get this, we shall need a diagrammatic representation. In the diagram, we shall be having a right angled triangle. Please check the attachment for this.

Mathematically, the length of the ladder represents the hypotenuse of the right angled triangle while the height of the window and the distance of the ladder to the feet of the window represents the other two sides of the triangle.

To calculate the length of the ladder, we shall be using Pythagoras’ theorem.

Mathematically, it’s states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides.

let’s say the length of the ladder is l

Mathematically;

l^2 = 5^2 + 12^2

l^2 = 25 + 144

l^2 = 169

l = √169

l = 13 feet

Answer:

D 13 feet

Step-by-step explanation:

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Answer:

62.12

Step-by-step explanation:

Answer:

The area base of the cylinder is 32 pi square meters which is correct option(A).

Step-by-step explanation:

The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = A × h, where

A = area of the base

h = height

The base of a  circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h

where , 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

π is a constant whose value is either 22/7 (or) 3.142.

Given data,

The volume of cylinder = 288π cubic meters

V = πr²h

Substitute the value of V in the formula

288π = π(r²)(9)

Divided by π both the sides,

288 = 9 r²

288/9 = r²

32 = r²

r² = 32

r ≈ 5.65 meters

The area base (circle) of the cylinder = πr²

Substitute the value of r in the formula,

The area base  of the cylinder = π(5.65)²

The area base  of the cylinder = π(32)

The area base of the cylinder = 32π

Hence, the area base of the cylinder is 32π square meters.

hope this helps gangy

Answer:

32π square meters

Step-by-step explanation:

Use the volume of cylinder formula: V = πr²h:

288π = πr² x 9

Make r² the subject of the formula:

r² = 288π divided by 9π = 32

Now we know r² = 32, we use the circle area formula as the base of the cylinder is a circle:

πr² = formula to find area of circle

π x 32 (which is r²) = 32π m² (square meters)

Hope this answers your question!

Answer:

percent of students who have pet = 4/5 × 100%

= 4×20%

So, percent of students who have pet is 80%.