Which is the graph of the solution set of −2x + 5y > 15?

Which Is The Graph Of The Solution Set Of 2x + 5y > 15?

Answers

Answer 1

Answer:

given below

Step-by-step explanation:

−2x + 5y > 15

5y > 15 + 2x

if x is 0 then y is 3 and its greater than so increasing

therefore answer is graph A

Which Is The Graph Of The Solution Set Of 2x + 5y > 15?
Answer 2

Answer:

graph a

Step-by-step explanation:

hes right


Related Questions

What multiplication equattion can be used to explain the solution to 15 / 1/3

Answers

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

To explain the solution to 15 divided by 1/3, we can use a multiplication equation. The division of 15 by 1/3 is equivalent to multiplying 15 by the reciprocal of 1/3.

Reciprocal of 1/3 = 3/1

So, the multiplication equation that explains the solution is:

15 * (3/1) = 45

Therefore, 15 divided by 1/3 is equal to 45.

What is the value of this expression?

{5×(13−8)}+12÷6

Answers

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

\(\qquad \tt \dashrightarrow \: \{5 \times (13 - 8) \} + 12 \div 6\)

\(\qquad \tt \dashrightarrow \: \{5 \times (5) \} + 12 \div 6\)

\(\qquad \tt \dashrightarrow \: \{5 \times 5\} + 2\)

\(\qquad \tt \dashrightarrow \:25 + 2\)

\(\qquad \tt \dashrightarrow \:27\)

given:

{5×(13−8)}+12÷6

to find:

the value of the expression.

solution:

we'll have to follow the BODMAS rule to solve this.

{5×(13−8)}+12÷6

= {5 × (5)} + 12 ÷ 6

= 25 + 2

= 27

..... please help me I don't understand this

..... please help me I don't understand this

Answers

Answer:

i think the 2nd one is correct .. i have not fluent in english to explain the answer.

Which inequality has the graph shown below?
y≤ x-3
Oy2x-3
O y ≥ 2x-3
O y ≤ 2x-3

Which inequality has the graph shown below?y x-3Oy2x-3O y 2x-3O y 2x-3

Answers

Answer:

y ≥ 2x - 3

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (2,1)

We see the y increase by 4 and the x increase by 2, so the slope is

m = 4/2 = 2

Y-intercept is located at (0, -3)

Because the graph is on top left, so the equation will be y ≥ 2x - 3

WILL GIVE BRAINLIST TO BEST ANSWER

3. Matt wants to buy a Van.

The Van costs $24,000.

. Matt already has $4,000. He plans to save $1,000 per month.

After how many months will Matt be able to purchase a Van?

Answers

Answer:

20 months

Step-by-step explanation:

the number of months is m

1000m + 4000 = 24000

1000m = 24000 - 4000

1000m = 20000

m = 20000/1000 = 20

if i rolled one die 10 times, what is the mode of the values listed that i rolled? 5, 5, 4, 6, 3, 2, 2, 3, 1, 5 responses 2 2 3 3 4 4 5 5 6 6

Answers

mode is 5 and 2 because 2 and 5 occurs more times than other number

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

The total outcomes = 7

This is because the cube was rolled 7 times

The value recorded are

2, 1

4, 5

3, 2

2,2

1,3

6,2

5,3

From all the outcomes, the only possible out comes that shows that the sum of two numbers is more than 5 are

4, 5

6, 2,

5,3

Probability = possible outcomes / total outcomes

Possible outcomes = 3

Total outcomes = 7

Probability = 3/7

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Use the following function rule to find f(5). f(x) = –4 |x| − 3 f(5) = \

Answers

function is a relationship between inputs where each input is related to exactly one output.

The value of f(x) at x = 5 is -23.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -4 |x| - 3

The value of f(x) at x = 5.

f(5) = -4 |5| - 3

f(5) = -4 x 5 - 3

f(5) = -20 - 3

f(5) = -23

Thus,

The value of f(x) at x = 5 is -23.

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Please help solve this

Answers

Answer:

You need to provide the equation or inequality for people to solve you question.

Step-by-step explanation:

The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a - 4)(b - 4).

Answers

Answer:

just divide

Step-by-step explanation:

and just use the formula


Use FOIL (First, Outer, Inner, Last) to compute (a-4)(b-4)

(a-4)(b-4) =
ab - 4a - 4b + 16

What is the perimeter of quadrilateral HIJK, with vertices H( – 4,6), I(4,9), J(2,3), and K(7, – 4).

Answers

The perimeter of the quadrilateral is approximately 50.47 units

A quadrilateral is polygon which has 4 sides. The perimeter of a quadrilateral is the sum of the side - lengths of all sides of the quadrilateral .the side lengths are calculated by using the distance formula between two points on the cartesian plane which is given by \({\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}.}\)

Given the vertices of the quadrilateral: H(– 4,6), I(4,9), J(2,3), K(7, – 4).

Let us calculate the distances of HI , IJ , JK and KH

\({\displaystyle HI={\sqrt {(4-(-4))^{2}+(9-(6))^{2}}}.}\)

or, HI = 17 units

\({\displaystyle IJ={\sqrt {(2-(4))^{2}+(3-(9))^{2}}}.}\)

or, IJ = 10

\({\displaystyle JK={\sqrt {(7-(2))^{2}+(-4-(3))^{2}}}.}\)

or, JK = √74 = 8.602... ≈ 8.60

\({\displaystyle KH={\sqrt {(7-(-4))^{2}+(-4-(6))^{2}}}.}\)

or, KH = √221 = 14.866... ≈ 14.87

Now perimeter = HI + IJ + JK + KH

or, perimeter = 8.60 + 14.87 + 10 + 17 = 50.47 units.

Therefore the perimeter of the quadrilateral is 50.47 units.

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2x-4<6
what is the solution to this inequlity

Answers

Answer:

x < 5

Step-by-step explanation:

\(2x - 4 < 6\)

\(2x < 10\)

\(x < 5\)

.........................................................

2x-4&lt;6 what is the solution to this inequlity

Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of
inequalities.
x+y>2
8x-2y< 16
4y <6x+8
f (x, y) = 4x+7y

Find the maximum and minimum values of the function for the polygonal convex set determined by the given

Answers

Answer:

  max: 72 at (4, 8)

  min: 8 at (2, 0)

Step-by-step explanation:

The attached graph shows the solution set as a white area. The shaded areas are excluded from the solution set. The dashed boundary lines indicate those lines are not excluded from the set. The vertices of the polygon are (0, 2), (2, 0) and (4, 8).

The line f(x,y) = 0 is shown for reference. The maximum value of f(x,y) will be found at the vertex of the solution set that is farthest from this line. The minimum will be found at the vertex of the solution set that is closest to this line.

The maximum value of f(x, y) is 72 at (x, y) = (4, 8).

The minimum value of f(x, y) is 8 at (x, y) = (2, 0).

Find the maximum and minimum values of the function for the polygonal convex set determined by the given

what is the solution of the system? use the elimination method. {4x 2y=182x 3y=15 enter your answer in the boxes.

Answers

The solution of the system is x = 4 and y = 1.

To solve the system of equations using the elimination method, we can eliminate one variable by adding or subtracting the equations.

In this case, we can eliminate the variable "x" by multiplying the first equation by -2 and adding it to the second equation.

1. Multiply the first equation by -2:

  -8x - 4y = -36

2. Add the modified first equation to the second equation:

  -8x - 4y + 2x + 3y = -36 + 15

Simplifying the equation gives:

  -6x - y = -21

3. Solve the new equation for one variable. Let's solve for y:

  -y = -21 + 6x

   y = 21 - 6x

4. Substitute the value of y into one of the original equations. Let's use the first equation:

  4x + 2(21 - 6x) = 18

Simplifying the equation gives:

  4x + 42 - 12x = 18

  -8x = -24

   x = 3

5. Substitute the value of x back into the equation for y:

  y = 21 - 6(3)

  y = 21 - 18

  y = 3

Therefore, the solution to the system of equations is x = 3 and y = 3.

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FIRST TO ANSWER THE CORRECT ANSWER GETS BRAINLIEST!!!!!!!!!!
Yi-Pei can fold the laundry in 100 minutes. Charles can fold the laundry in 110 minutes. If Yi-Pei and Charles work together, how long will it take them to fold the laundry? Round your answer to the nearest minute.

A. 105 minutes
B. 5 minutes
C. 210 minutes
D. 52 minutes

Answers

Answer:

D. 52

Step-by-step explanation:

105/2=52

The middle of 110 and 100 is 105. When you divide that by 2 you get 52.5 or 52. The answer is D

Answer:

D 52 is the answer

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.

Which word describes the slope of the line representing the data in the table?

zero
undefined
negative
positive

Answers

Answer:

Negative

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge2020

PRACTICE ANOTHER ASK YOUR TEACHER MY NOTES 12. [-13 Points] DETAILS WANEAC7 3.5.099. The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a certain species of bird, the oxygen consumption (in milliliters per hour) can be approximated by (t) = -0.0012 +0.13822 - 3.12t + 16.27 (25

Answers

s = 900 - 140t - 16t^2

Period [1,4] average velocity

Velocity at t = 4

Period[1,4}

s when t = 1 ==> s = 900 - 140(1) - 16(1^2) = 900 - 140 - 16 = 744

Distance = 900 - 744 = 156

Velocity = 156 ft/s

s when t = 4 ==> x = 900 - 140(4) - 16(4^2) = 900 - 560 - 256 = 84

Distance = 900 - 84 = 816

Velocity = 816/4 = 204 ft/s

Average of 156 and 204 ==> (156 + 204)/2 = 360/2 = 180

Instant velocity at t=4 ==> 204 f/s

Please show clear solutions to these additional questions involving gas laws. A complete solution shows
all steps, including necessary unit conversions. Final answers must be rounded to correct significant
figures.

1. If placing a balloon of gas into a freezer at –80.0 °C causes its volume to change to 76.4 % its
initial volume, then what was the balloon’s initial temperature in °C?

2. Suppose instead of volume, we built a thermometer that measures temperature by pressure
changes. A sample of gas is placed into a rigid glass vial along with a pressure sensor. At room
temperature (25.0 °C), the pressure of the gas is 1.01 atm. The gas thermometer is then placed
into a bath of hot oil. The pressure of the apparatus changes to 1.38 atm. What is the temperature
of the oil in °C?

Answers

1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

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what is the dilation of this the bigger one is the original size.

what is the dilation of this the bigger one is the original size.

Answers

Point P(6,6)

Point P'(2, 2)

To determine the dilation:

\(\begin{gathered} 6x=2 \\ x=\frac{2}{6} \\ x=\frac{1}{3} \end{gathered}\)

The dilation of this image is 1/3.

Help I need help with this question

Help I need help with this question

Answers

Answer:

X = 208

Step-by-step explanation:

a company takes 140 bags. 41 of the bags have buttons but no zips 48 off the bags have zips but no buttons. 25 of the bags have neither zips nor buttons. how many bags have zips on them

Answers

There are 74 bags that have zips on them.

How many bags have zips on them?

Given data:

Total number of bags = 140Bags with buttons but no zips = 41Bags with zips but no buttons = 48Bags with neither zips nor buttons = 25

To get number of bags with zips, we will subtract the bags with buttons but no zips and the bags with neither zips nor buttons from the total number of bags.

The number of bags with zips is:

= Total number of bags - Bags with buttons but no zips - Bags with neither zips nor buttons

= 140 - 41 - 25

= 74.

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Write a function from scratch called roc_curve_computer that accepts (in this exact order): a list of true labels a list of prediction probabilities (notice these are probabilities and not predictions - you will need to obtain the predictions from these probabilities) a list of threshold values.

Answers

It calculates the True Positive (TP), False Positive (FP), True Negative (TN), and False Negative (FN) values for each threshold. Finally, it calculates the True Positive Rate (TPR) and False Positive Rate (FPR) values based on the TP, FN, FP, and TN values and returns them as lists.

An implementation of the `roc_curve_computer` function in Python:

```python

def roc_curve_computer(true_labels, prediction_probabilities, threshold_values):

   # Obtain the predictions from the probabilities based on the threshold values

   predictions = [1 if prob >= threshold else 0 for prob in prediction_probabilities]

   # Calculate True Positive (TP), False Positive (FP), True Negative (TN), and False Negative (FN) values

   tp_values = []

   fp_values = []

   tn_values = []

   fn_values = []

   for threshold in threshold_values:

       tp = sum([1 for label, pred in zip(true_labels, predictions) if label == 1 and pred == 1])

       fp = sum([1 for label, pred in zip(true_labels, predictions) if label == 0 and pred == 1])

       tn = sum([1 for label, pred in zip(true_labels, predictions) if label == 0 and pred == 0])

       fn = sum([1 for label, pred in zip(true_labels, predictions) if label == 1 and pred == 0])

       tp_values.append(tp)

       fp_values.append(fp)

       tn_values.append(tn)

       fn_values.append(fn)

   # Calculate True Positive Rate (TPR) and False Positive Rate (FPR) values

   tpr_values = [tp / (tp + fn) for tp, fn in zip(tp_values, fn_values)]

   fpr_values = [fp / (fp + tn) for fp, tn in zip(fp_values, tn_values)]

   return tpr_values, fpr_values

```

This function takes in three arguments: `true_labels`, `prediction_probabilities`, and `threshold_values`. It first obtains the predictions from the probabilities based on the given threshold values. Then, for each threshold, it determines the True Positive (TP), False Positive (FP), True Negative (TN), and False Negative (FN) values. On the basis of the TP, FN, FP, and TN values, it determines the True Positive Rate (TPR) and False Positive Rate (FPR) values and returns them as lists.

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For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.(a)The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears before y in alphabetical order. Assume that each word appears exactly once in the dictionary.(b)The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in order in the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.(c)The domain is the set of all cell phone towers in a network. Two towers can communicate if they are within a distance of three miles from each other. Tower x is related to tower y if x can send information to y through a path of communication links. You can assume that there are at least two towers that are within three miles of each other.(d)The domain is the set of all positive integers. x is related to y if y = 3·n·x, for some positive integer n.(e)The domain of relation P is the set of all positive integers. For x, y ∈ Z+, xPy if there is a positive integer n such that xn = y.(f)The domain for the relation is Z×Z. (a, b) is related to (c, d) if a ≤ c and b ≤ d.(g)The domain is the set of girls at a basketball camp. Player x is related to y if x is taller or weighs more than player y (inclusive or). You can assume that no two players have the same height and that no two players have the same weight. The answer may depend on the actual weights or heights of the players, in which your answer may be "not necessarily", but you need to give an example to justify your answer.(h)The domain is the set of all runners in a race. x is related to y if x beat y in the race. No two players tied.(i)The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.

Answers

(a) The relation is a partial order.

(b) The relation is neither a partial order nor a strict order.

(c) The relation is a partial order.

(d) The relation is a partial order.

(e) The relation is a partial order.

(f) The relation is a partial order.

(g) The relation is neither a partial order nor a strict order.

(h) The relation is a strict order.

(i) The relation is neither a partial order nor a strict order.

The relation which can be partial, strictly partial or neither are:

(a) The relation is a partial order.

It is reflexive (every word is related to itself),

antisymmetric (if x is related to y and y is related to x, then x and y are the same word),

and transitive (if x is related to y and y is related to z, then x is related to z).

However, the relation is not a total order because there are pairs of words that are not comparable (e.g., "apple" and "zebra").

(b) The relation is neither a partial order nor a strict order.

It is not reflexive (a word is not a substring of itself unless it consists of a single letter),

and it is not transitive (if "logical" is a substring of "topological"

and "topological" is a substring of "biology," it does not mean that "logical" is a substring of "biology").

Therefore, it cannot be a partial or strict order, and it is not a total order.

(c) The relation is a partial order.

It is reflexive (a tower can communicate with itself),

antisymmetric (if tower x can communicate with tower y and vice versa, then x and y are the same tower),

and transitive (if tower x can communicate with tower y and tower y can communicate with tower z, then x can communicate with z).

However, the relation is not a total order because there may be pairs of towers that cannot communicate with each other due to the distance constraint.

(d) The relation is a partial order.

It is reflexive (y = 3 · 1 · x, so x is related to itself),

antisymmetric (if y = 3 · n · x and y = 3 · m · x for positive integers n and m, then n = m),

and transitive (if y = 3 · n · x and z = 3 · m · y for positive integers n and m, then z = 3 · (n · m) · x).

However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 5).

(e) The relation is a partial order.

It is reflexive (\(x^1\) = x, so x is related to itself),

antisymmetric (if \(x^n\) = y and \(y^m\) = x for positive integers n and m, then \(x^{(n m)\) = x),

and transitive (if \(x^n\) = y and \(y^m\) = z for positive integers n and m, then \(x^{(n m)\) = z).

However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 3).

(f) The relation is a partial order.

It is reflexive (a ≤ a and b ≤ b for any integers a and b),

antisymmetric (if a ≤ c and c ≤ a, then a = c, and if b ≤ d and d ≤ b, then b = d),

and transitive (if a ≤ c and c ≤ e, then a ≤ e and if b ≤ d and d ≤ f, then b ≤ f).

Moreover, the relation is a total order because for any pair of elements, they are comparable (either a ≤ c and b ≤ d or c ≤ a and d ≤ b).

(g) The relation is neither a partial order nor a strict order.

It is not reflexive (a player is not taller or weighs more than themselves),

and it is not transitive (if player x is taller than player y and player y is taller than player z, it does not imply that player x is taller than player z).

Therefore, it cannot be a partial or strict

(h) The relation is a strict order.

It is irreflexive (a runner cannot beat themselves),

asymmetric (if x beat y, then y cannot beat x),

and transitive (if x beat y and y beat z, then x must beat z).

Since it is a strict order, it is not a total order because there may be pairs of runners that are not comparable.

(i) The relation is neither a partial order nor a strict order.

It is not reflexive (a runner cannot beat themselves unless there is a tie),

and it is not antisymmetric (if x beat y and y beat x, it implies a tie between x and y).

Therefore, it cannot be a partial or strict order.

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(6 - 4) × 9
sjjdcnjcbdc

Answers

Answer:

18

Step-by-step explanation:

(2) x 9

18

That's it

Byeeeee

the art teacher had a huge pack of pipe cleaners he used 177 with the entire 4th grade he took leftover pipe cleaners and created an art using 79 pipe cleaners 1008 pipe cleaners how many did he have at the start of the day?

Answers

Answer:

1264

Step-by-step explanation:

177+79+1008

A. You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degree to the bottom of the iceberg. How many meters must the submarine lower to pass under the iceberg?

Answers

The submarine must lower at least 2698 measures and the submarine must rise at least 516.45 measures. Trigonometric angles are the angles in a right- angled triangle using which different trigonometric functions can be represented.

Given that, the sonar system detects an icicle 4000 measures ahead, with an angle of depression of 34 ∘ to the bottom of the icicle.

What are trigonometric angles?

Trigonometric angles are the angles in a right- angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

a) We know that, tan θ = ( vertical/ Base)

Let the number of measures must the submarine lower to pass under the icicle bex.

tan θ = x/ 4000

⇒ tan 34 ° = x/ 4000

⇒0.6745 = x/ 4000

⇒ x = 0.6745 × 4000

⇒ x = 2698 measures

b) Let the number of measures must the submarine rise to pass over the sunken boat bey.

tan θ = y/ 1500

⇒ tan 19 ° = y/ 1500

⇒0.3443 = y/ 1500

⇒ y = 0.3443 × 1500

⇒ y = 516.45 measures

thus, the submarine must lower at least 2698 measures and the submarine must rise at least 516.45 measures.

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Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone

Answers

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

How do you find the maximum volume of a cone?

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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You take out a 60- day loan for $5000, at the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Round your answer to the nearest 10th of a percentRate equals interest/principle X time

Answers

To solve the problem we have to use the simple interest formula:

\(\text{Interest = Initial Money }\times\text{ Percentage }\times\text{ Time}\)

In this case, we have to put the time into the year format. Thus,

\(\text{79.97= 5000 }\times\text{ Percentage }\times\text{ }\frac{60}{365}\)\(\text{Percentage = }\frac{79.97}{5000\times\frac{60}{365}}=0.097296\)

Answer: The annual percentage rate is 9.7%

A cookie recipe called for 2 4/5 cups of sugar for every 2/3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups sugar would you needs

Answers

Answer:

\(4\frac{1}{5} cups\)

Step-by-step explanation:

Let's start by setting up a ratio for the recipe.

First, rewrite 2 and 4/5 as an improper fraction.

\(2\frac{4}{5} = \frac{14}{5}\)

We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:

\(\frac{2}{3} :\frac{14}{5}\)

We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):

\(1:s\)

Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:

\(\frac{2}{3} :\frac{14}{5} =1:s\)

Multiply the means and extremes, set their products equal, and solve.

\(\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}\)

Let's turn 21/5 into a mixed number.

\(\frac{21}{5} =4\frac{1}{5}\)

So, if you used one cup of flour, you would need \(4\frac{1}{5}\) cups of sugar.

Me ayudan redondea tu respuesta ala centésima más cercana

Me ayudan redondea tu respuesta ala centsima ms cercana

Answers

Using a trigonometric relation we can see that:

CA = 5.03

How to find the value of AC?

On the image we can see a right triangle, we can see that the angle B is 40°, and the length of BC is 6 units.

We want to get CA, which is the opposite cathetus, if we use the trigonometric relation:

tan(B) = (opposite cathetus)/(adjacent cathetus)

Then we will get:

tan(40°) = CA/6

Solving for CA

CA = 6*tan(40°)

CA = 5.03

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\(\frac{5\sqrt{7} }{\sqrt{35} }\)

Answers

The simplified expression of the radical expression given as 5√7/√35 is 7

How to evaluate the expression?

From the question, we have the following expression that can be used in our computation:

5√7/√35

The above expression is a fraction and at the same time it is a radical expression

The denominator of the fraction is √35

So, we start by rationalizing the expression by the fraction

This is represented as

5√7/√35 = 5√7/√35 * √35/√35

Evaluate the products of the numerator

So, we have the following representation

5√7/√35 = 5√245/√35 * 1/√35

Evaluate the products of the denominator

So, we have the following representation

5√7/√35 = 5√245/35

Simplify the fraction

This gives

5√7/√35 = √245/7

Simplify the fraction

5√7/√35 = 7√5/7

So, we have

5√7/√35 = 7

Hence, the simplified expression is 7

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