A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 2 liters per minute, how fast is the water level falling in centimeters per hour? [1 liter is 1000 cubic centimeters].

Answers

Answer 1

The water level is falling at a rate of approximately 0.152 centimeters per hour.

The radius r of the circular base is given as 2 meters, or 200 centimeters. Substituting this and rearranging the above equation, we get:

dh/dt = (dV/dt)/(πr²) = (-2000 cm³/min)/(π(200 cm)²) ≈ -0.00253 cm/min

To find the rate of change of water level in centimeters per hour, we can convert the above result to centimeters per hour by multiplying it by 60:

dh/dt ≈ -0.00253 cm/min × 60 min/hour ≈ -0.152 cm/hour

Therefore, the water level is falling at a rate of approximately 0.152 centimeters per hour.

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Related Questions

a son earns 62% of what his father earns. if the son earns $52,000, how much does his father earn to the nearest dollar

Answers

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

Define percent.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

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4.3.2 Decrease 72 in the ratio 4:3. (3)​

Answers

SOLUTION

TO DETERMINE

Decrease 72 in the ratio 4 : 3

EVALUATION

We have to Decrease 72 in the ratio 4 : 3

Let the numbers are 4x and 3x

So by the given condition

Hence the required number

= 3 × 18

= 54

FINAL ANSWER

Hence the required number = 54

if sin = - square root 3/2 and pi <0<3pi/2 what are the values of cos and tan

Answers

  tanθ   = √3 are the values of cos and tan in Trigonometric Ratios .

How are trigonometric ratios defined?

As specified by the definition of a right-angled triangle's side ratio, trigonometric ratios are the values of all trigonometric functions. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Sinθ =  -√3/2

  cosθ = √1 - sin²θ

   

        = √1 - (-√3/2)²

       = √ 1 - 3/4

       = √4-3/4

     = √1/4

 cosθ = 1/2

since π<θ<3π/2 in third quadrant.

 We know, cosθ in third quadrant is negative.

   cosθ = -1/2

  tanθ = sinθ/cosθ

     tanθ = -√3/2/-1/2

       tanθ   = √3

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The length of a rectangle is 5 cm less than 3 times its width. If the perimeter is 54 cm, find its length.

Answers

Answer:

W = 8cm

L = 19cm

Step-by-step explanation:

The first step to solving these problems is always writing the information that is given into 2 equations.

Piece of info #1: Length is 5cm less than 3 times the width

Piece of info #2: Perimeter (of the rectangle, which has 4 sides) is 54cm

Turing these into equations...

Equation 1) L = 3*W - 5

Equation 2a) L+L+W+W = 54

Let's simplify that second equation:

Equation 2b) 2L+2W = 54

Now, we just solve the system of two equations by substitution. Take the known value of L from equation 1 and substitute it in for the value of L in equation 2b:

2*(3*W-5)+2W = 54

Now we solve for W:

6W - 10 + 2W = 54

8W - 10 = 54

8W = 64

W = 64/8

W = 8 cm

Now that we know W, we can substitute its value into either equation 1 or equation 2 to find L. Here, I'll randomly choose equation 1.

Equation 1) L = 3*W - 5

L = 3*8 - 5

L = 24-5

L = 19 cm

Will award brainliest need help on some questions

Answers

Answer:

32

Step-by-step explanation:

Please clarify OU bisects ∠XO*. Is it Z? If it is so, then the solution is below:

∠YOX = ∠XOZ (vertical angles)

5x + 21 = 9x - 55

5x - 9x = -55 - 21

-4x = -76

X = 19

=> 5x + 21 = 5(19) + 21 = 116

∠YOX + ∠XOZ = 180 (linear angles)

116 + ∠XOZ = 180

∠XOZ = 180 - 116 = 64

Since OU bisects ∠XOZ

=> ∠XOU = ∠UOZ = 64/2 = 32

Find b: If a = 9 and c = 9
С
a
b

Answers

If a = 9 and c = 9, the length of b is 3√18.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a right angled triangle with the given length of base and altitude.

Length of base = 9

Length of altitude = 9

We have to find b, which is the hypotenuse.

Using Pythagoras theorem,

Hypotenuse² = Base² + Altitude²

b² = a² + c²

b² = 9² + 9²

b² = 81 + 81

b² = 162

b = √162 = √(18×9) = 3√18

Hence the length of hypotenuse is 3√18.

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Your question is incomplete. Probably the correct question is as follows.

Given a right angled triangle.

a is marked the base, c is marked the altitude and b is marked the hypotenuse.

Find b: If a = 9 and c = 9

To avoid having her hours cut back at work, Bridgett must avoid performing in the lowest
40% of the distribution of workers at her job. Specifically, typical amount of items manufactured
at her job form a normal distribution with µ = 100 and o= 4. Bridgett needs to manufacture more than ____ items in order to avoid having her hours cut back at work.

Answers

The requried, to avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

What is the Z -score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard daviation

Here,
We know that the distribution of items manufactured at Bridgett's job is normal with a mean (µ) of 100 and a standard deviation (σ) of 4. We also know that Bridgett needs to avoid performing in the lowest 40% of the distribution.

To find the minimum number of items that Bridgett needs to manufacture, we need to find the cutoff point below which the lowest 40% of the distribution falls. This cutoff point is the z-score that corresponds to the 40th percentile of the distribution.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to the 40th percentile is approximately -0.25. This means that the lowest 40% of workers at Bridgett's job manufacture less than 100 - 0.25(4) = 99 items.

To avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

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which expression would have the same value as 32 - 16

Answers

Option D:

32 ÷ (–16) is equivalent to –18 ÷ (9).

Given expression:

–18 ÷ (9)

Let us first solve this expression.

                = -2  (negative by positive is negative)

To find which expression has the same value for the given expression:

Option A: –18 ÷ 2

            = –9 (negative by positive is negative)

This is not equivalent expression.

Option B: –12 ÷ (–3)

                = 4  (negative by negative is positive)

This is not equivalent expression.

Option C: –10 ÷ 5

            = –2 (negative by positive is negative)

This is not equivalent expression.

Option D: 32 ÷ (–16)

                = -2  (positive by negative is negative)

This is the equivalent expression to the given expression.

Hence ,32 ÷ (–16) is equivalent to –18 ÷ (9).

Option D is the correct answer.

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If a customer uses a discount code that offers a 25% discount and free shipping, the hammer will cost $17.25. There is no sales tax if the customer buys the hammer online.
What is the original price of the hammer from the online retailer?

Answers

Answer:

The online price with 25% off is $17.25.

The original price is $21.56

To find the original price, you will multiply the discount price by 25%, or 0.25.

0.25 * 17.25 = 4.3125 or 4.31

Now you will ad that to the discount price to find the original price:

4.31 + 17.25 = 21.56

The original price was $21.56.

Step-by-step explanation:

Hope it helps! =D

Answer:

$21.56

Step-by-step explanation:

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve this, we can multiply the price by 1.25.

17.25 × 1.25 = 21.5625 (21.56 rounded)

Why do we multiply by 1.25?

We multiply by 1.25 because in order to solve for the original price of an object that was 25% off, we have to add that 25% back. The reason we don't multiply by 0.25 is because if we were to do so, the price would be getting smaller, not larger.

Therefore, the original price is $21.56

A triangle has side lengths of (6.2v+5.4w) centimeters, (5.2v - 6.7x) centimeters, and (2.1x - 5.3w) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

Answers

Answer:

The answer to this question would be A

Step-by-step explanation:

I took the test one time before .

5x+5y=18

Determine the missing coordinate in the order pair (2,?) so that it will satisfy the given equation

Answers

Answer: (2,1.6)

y=1.6

Step-by-step explanation:

you have the x coordinate, so that means x=2.

Plug in values for x:

5(2) + 5y = 18

10 + 5y = 18

Solve for y.

Answer:

The missing coordinate is 1.6.

Step-by-step explanation:

What is a coordinate?

A coordinate is two points, x value and y value, on a graph. Ex: 1, 4. 1 is on the x axis, and 4 is on the y axis. In some Math problems, the point in the x value will be replaced with x.

5x + 5y = 18

5(2) + 5y = 18

10 + 5y = 18

10 - 10 + 5y = 18 - 10

5y = 8

5y/5 = 8/5

y = 1.6

To check this, we need to input 2 and 1.6 into the original problem.

5(2) + 5(1.6) = 18

10 + 5(1.6) = 18

10 + 8 = 18

18 = 18

This is true, so we know 1.6 is correct.

write the size of amoeba proteus in meters

Answers

Answer:

Step-by-step explanation:

up to beyond hald a milimeter in length

2mm

Eve had to purchase 2 bags of chocolate chips for her cookie recipe. She paid $20 and received $5.86 in change. How much was each bag of chocolate chip

This question has 3 parts.

Part A: What does the variable represent in this situation?

Part B Which of the following equations represents how much each bag of chocolate chips costs?

Part C What is the price of each bag of chocolate chips?

Answers

Part A: The variable in this situation represents the unit cost or the unit rate of each bag of chocolate.

Part B: The equation that represents the cost of each bag of chocolate chips is x = (20 - 5.86)/2.

Part C: The price of each bag of chocolate chips that Eve bought for her cookie recipe is $7.07.

What is an equation?

An equation is an algebraic statement of the equality or equivalence of two or more mathematical expressions.

Mathematical expressions combine constants, numbers, variables, and values with algebraic operands but without the equation symbol (=) as an equation.

The number of bags of chocolate chips bought = 2 bags

The total amount given to the cashier for the purchase = $20

The balance in change received = $5.86

The cost of the 2 bags of chocolate chips = $14.14 ($20 - $5.86)

The cost of each bag = $7.07 ($14.14)

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What completes this expression to make it a perfect square trinomial?

x2 + 4x + ___

Answers

x^2 + 4x + 4 is a perfect square trinomial that can be factored as (x + 2)^2.

Explanation:
To complete the expression x^2 + 4x + __ as a perfect square trinomial, we can take half of the coefficient of x (which is 4), square it, and then add it to the expression.

Half of 4 is 2, and 2 squared is 4, so we can add 4 to the expression to get:

x^2 + 4x + 4

This expression is a perfect square trinomial and can be factored as:

(x + 2)^2

Given w=-68, e=-3, f=-4 what is e4-df?

Answers

Answer:

-12 + 4d

Step-by-step explanation:

(-3)4 - d(-4)

-12 - -4d

PLS HURRY. what is the mean absolute deviation of 2,3,3,6,1 will give brainliest

Answers

The mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

What is the mean absolute deviation?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.

To find the mean absolute deviation of a set of numbers, we first need to find the mean of the set. The mean is the sum of the numbers divided by the total number of numbers. For the set of numbers 2, 3, 3, 6, 1, the mean is:

mean = (2 + 3 + 3 + 6 + 1) / 5

= 15 / 5

= 3

Next, we need to find the absolute deviation of each number in the set from the mean. The absolute deviation is the absolute value of the difference between the number and the mean. For each number in the set, we calculate the absolute deviation as follows:

|2 - 3| = 1

|3 - 3| = 0

|3 - 3| = 0

|6 - 3| = 3

|1 - 3| = 2

To find the mean absolute deviation, we take the average of the absolute deviations. We add up the absolute deviations and divide by the total number of numbers in the set:

mean absolute deviation = (1 + 0 + 0 + 3 + 2) / 5

= 6 / 5

= 1.2

Therefore, the mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

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Pls answer and show me how you got that answer

Answers

The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.

What does one gramme represent?

A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).

When we find the mass of radioactive, we obtain:

m₀=initial mass=1500 grams, r = 13% and n =12 days

⇒m = m₀ x [tex](1 - \frac{r}{100} )^{n}[/tex]

⇒m =1500×[tex](1-\frac{13}{100}) ^{12}[/tex]

⇒m=424.7 grams.

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Identify the intervals where the function is changing as requested
The graph says constant on it here is photo of the graph

Answers

Since the graph is constant, the function is not changing within any interval. Therefore, there are no intervals where the function is changing.

Describe Graph?

In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.

A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.

There are many types of graphs, including:

Undirected graphs: Graphs in which edges have no direction.

Directed graphs: Graphs in which edges have a direction, often represented by arrows.

Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.

Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.

Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.

Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.

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One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in each of three 4-credit courses, a C in a 2-credit course, and a D in a 3-credit course?

Answers

Answer:

2.8

Step-by-step explanation:

To calculate the GPA of the student, we first need to calculate the total number of grade points earned by the student. We can do this by multiplying the number of credits for each course by the corresponding grade point value and then adding up the results:

A in a 3-credit course: 4 x 3 = 12 grade points

B in each of three 4-credit courses: 3 x 4 = 12 grade points each, for a total of 3 x 12 = 36 grade points

C in a 2-credit course: 2 x 2 = 4 grade points

D in a 3-credit course: 1 x 3 = 3 grade points

Total grade points earned = 12 + 36 + 4 + 3 = 55

Next, we need to calculate the total number of credits earned by the student:

A in a 3-credit course = 3 credits

B in each of three 4-credit courses = 3 x 4 = 12 credits

C in a 2-credit course = 2 credits

D in a 3-credit course = 3 credits

Total credits earned = 3 + 12 + 2 + 3 = 20

To find the GPA, we divide the total grade points earned by the total credits earned:

GPA = Total grade points earned / Total credits earned

GPA = 55 / 20

GPA = 2.75

Therefore, the GPA of the student is 2.75.

Final answer:

To calculate the GPA, convert each grade into points, multiply each point value by the number of credits for that course, and add the total. Then divide the total by the total credits. Using this calculation, the student's GPA is 2.75.

Explanation:

The grade point average (GPA) is calculated on the basis of the grades earned in each course and the course's credit value. First, each grade is converted into points. Then, each point value is multiplied by the number of credits for that course. Finally, the total points are added together, and the sum is divided by total credits to yield GPA.

An A in a 3-credit course gives 4 points x 3 credits = 12. A B in each of three 4-credit courses equals (3 points x 4 credits) x 3 courses = 36. A C in a 2-credit course gives 2 points x 2 credits = 4. A D in a 3-credit course gives 1 point x 3 credits = 3.

The total credits are 3 (for A) + 12 (for Bs) + 2 (for C) + 3 (for D) = 20. The total points are 12 (for A) + 36 (for Bs) + 4 (for C) + 3 (for D) = 55. Hence, the GPA is 55 total points ÷ 20 total credits = 2.75.

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Sorry for bad quality pic, can i get an explanation with answer, thanks. :)

Answers

The price that dealerships pay for vehicles is called the wholesale price.

The sticker price of the car, given the MSRP and the navigation package among others, is $ 33, 699.

How to find the sticker price ?

The sticker price of the car is the MSRP plus the price of any additional options or charges. So we need to add up the MSRP, premium package, navigation package, and destination charge:

Sticker price:

= MSRP + premium package + navigation package + destination charge

= 29, 999 + 2, 500 + 500 + 700

= $ 33,699

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A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. (a) What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line? P(X1 = 1, X2 = 1) = (b) What is P(X1 = X2), that is, the probability that the numbers of customers in the two lines are identical? P(X1 = X2) = (c) Let A denote the event that there are at least two more customers In one line than in the other line. Express A in terms of X1 and X2. Calculate the probability of this event. P(A) = (d) What is the probability that the total number of customers in the two lines is exactly four? At least four? P(exactly four) = P(at least four) =

Answers

Required probability P(A)= 0.46. The problem here is a Joint Probability Distribution exercise. See the answers and explanation below.

What is  Joint Probability Distribution?

Joint Probability Distribution can be simply described as the likelihood of two events (variables) occurring at the same time. These two events are commonly referred to as event A and event B, and their formal names are: p (A and B).

here, we have,

What is the solution to the questions?

A - The likelihood that each line has exactly one customer: The probability relates to the associated row and column.

X₁ = 1  and X₂ = 1

P (X₁ = 1, X₂ =1) = 0.15

B - The sum of the diagonal elements of the joint pmf indicates the likelihood that the amount of clients in both lines is the same:

P(X₁ = X₂) =) p(0,0) + p (1,1) + p(2, 2) + p(3,3

= 0.08 + 0.15 + 0.10 + 0.07

= 0.4

Hence,

C - Let A represent the situation in which there are at least two more clients than the other line: The following are examples of variable combinations:

X₂ =0 ;   X₁ = 2,3, 4

X₂ =1  ;   X₁ = 3, 4

X₂ =2 ;   X₁ = 0, 4

X₂ =3 ;   X₁ = 0, 1

The probability is thus computed as follows:

P (A) = p(1, 3) + p (2,2) + p(2, 3) + p(3,1) + p(3,2) + p(3,3) + p(4,0) + p(4,1) + p(4,2) + p(4,3)

= 0.04 + 0.10 +0.06 + 0.03 + 0.04+ 0.07 + 0.00 + 0.01 + 0.05 + 0.06

= 0.46

Hence , P(A)= 0.46

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In a certain​ city, E​ Street, W​ Street, C​ Street, and D Street are parallel streets that intersect K Street and M Street. How long is K Street between C Street and D​ Street?

Answers

The required measure of Street K between Street C and D is 337.5 ft.

What is the equality of proportionality?

The equivalence between two ratios in algebra. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.

Here, we have

Given: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and M Street. How long K Street is between C Street and D Street is to be determined.

Let the distance of street K between C and D be x,

Now,

Taking the equality of the proportionality expression of triangles,

600 / 400 = 600 + x / 400 + 250

6 / 4 = 600 + x / 625

3750/4 = 600 + x

937.5 = 600 + x

x = 337.5

Hence, the required measure of Street K between Street C and D is 337.5 ft.

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FILL IN THE BLANK question 1 options: two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are ___and all corresponding sides are proportional.

Answers

Two polygons are similar if and only if all corresponding angles are congruent and all corresponding sides are proportional. The solution has been obtained by using concept of similar quadrilaterals.

What are similar quadrilaterals?

Two quadrilaterals are considered to be similar when two adjacent sides have the same ratio and all three matching angles are equal (the fourth angle automatically becomes equal because the internal angle sum equals 360 degrees).

Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

Hence, the corresponding angles need to be congruent.

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The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 13 mph and the Mystic travels at 21 mph. How far apart will they be in 2 hours?

Answers

After 2 hours, the Serenity and Mystic sailboats will be 68 miles apart. To determine how far apart the Serenity and Mystic sailboats will be after 2 hours, we need to calculate the total distance each boat will travel in that time.

How to calculate distance?

The distance that the Serenity travels is:

distance = rate x time = 13 mph x 2 hours = 26 miles

The distance that the Mystic travels is:

Distance = rate x time = 21 mph x 2 hours = 42 miles

To use this formula, you need to know the rate at which the object is traveling and the time it has been traveling.

Simply multiply the rate by the time to calculate the distance traveled.

Since they are traveling in opposite directions, we can add these distances to find the total distance between them:

total distance = distance traveled by Serenity + distance traveled by Mystic

total distance = 26 miles + 42 miles

total distance = 68 miles

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Find the measure of

Answers

Answer:

a+75+65= 180(sum of angle of triangle)

a+140=180

a=180-140

a=40

The graph below shows a transformation of y=2^x

Write an equation for the graph above.

Answers

The equation of the graph given is y = -([tex]2^x[/tex] - 2).

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = [tex]2^x[/tex]

The transformation of the function to get the given graph.

Step 1:

Shrink vertically with a scale factor of  2.

Step 2:

Rotation of the function about the origin.

We get,

y = -([tex]2^x[/tex] - 2)

Thus,

The equation of the graph is y = -([tex]2^x[/tex] - 2).

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Suppose that a particular NBA player makes 92% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws. a. What is the probability that he will make both free throws? (to 4 decimals)

Answers

The probability that he will make both free throws is 0.84.

What exactly is the meaning of probability?

Probability expresses the possibility of an event. This branch of mathematics studies the occurrence of a random event. The value ranges between 0 and 1. Probability is used in mathematics to anticipate the possibility of events occurring.

Probability refers to the likelihood of something occurring. This fundamental premise of probability theory is used by the probability distribution. We must first know the entire number of possibilities before we can assess the possibility of an event occurring.

P(E) is the probability of an event occurring divided by the total number of outcomes.

Now,

Given that player makes 92% of freethrows

that means p(making free throws)=92/100

=23/25

so making two free throws probability will be =23*23/25*25

=529/625

=0.84

Hence,

           The probability that he will make both free throws is 0.84.

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Each year an organization raises money to offer Berkeley College students scholarships. They currently have raised $14,300. This represents 58% of the money they raise. Determine the amount of money the organization will raise in total.

Answers

We can use a proportion to solve the problem. Let x be the total amount of money the organization will raise, then we can set up the following equation:

58/100 = 14,300/x

To solve for x, we can cross-multiply and simplify:

58x = 14,300 * 100

58x = 1,430,000

x = 1,430,000/58

x = 24,655.17

Therefore, the organization will raise a total of $24,655.17.

PLSSSS HELP ASAP!!! 50 POINTS BIG BALLER


Find the value of x.

2xdegree symbol

20degree symbol

A.10
B.45
C.35
D.80
Plss help and also if you put a random answer or a answer just for the points just remember that report button looks really nice today !

Answers

C, 35. The whole angle is a right angle, so it’s value is 90 degrees. We know that one portion of that angle is 20 degrees so we can subtract that from the total, leaving us with 70 degrees for the remainder of the angle, 2x. If 2x=70 then you can divide by 2 to isolate x and x will equal 35.

amanda has one evening in which to prepare for two exams and can employ two possible strategies: strategy score in economics score in math a 96 69 b 79 90 the opportunity cost of receiving a 94 on the economics exam in terms of the number of points on the math exam is

Answers

The opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The Opportunity cost in this case is the amount of points that Jose has to forgo for picking one alternative.

If Joe had picked strategy B which would give Jose 90 points on statistics then that means that Jose would not have picked strategy A which gave a 94 in Economics.

Therefore instead of getting a 94, Jose would get a 77. The opportunity cost is therefore;

= 94 - 77

= 17 points

Hence, the opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

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