Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school’s cross-country team. She needs to buy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that Malia should buy?

Answer:

19

Step-by-step explanation:

51-(16)x2

16x2=32

51-32=19

Step-by-step explanation:

B bracket

O of

D division

M multiplication

A addition

S subtraction

therefore 51-32 is equal to 49

Step-by-step explanation:

the correct answer is option a 6a-7

Answer: x = 140°

Step-by-step explanation:

The sum of all interior angles in a pentagon is 540°.

Since you have every other angle except for one, you can subtract them from the total:

540°-120°-118°-89°-73° = 140°

Therefore the x angle is equal to 140°.

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Answer:

6

Step-by-step explanation:

        6 is a factor of X , Y and Z.

    So, 6 will be a common factor of X + Y + Z.

Answer:

A) a = 4

B) m = 2

Step-by-step explanation:

A) 2a + 7 = 15

2a + 7 - 7 = 15 - 7

2a = 8

2a/2 = 8/2

a = 4

B) 4m - 6 = 2

4m - 6 + 6 = 2 + 6

4m = 8

4m/4 = 8/4

m = 2

Answer:

a = 4 and m = 2.

a) Find the value of a if the total of a being doubled and added to 7 is 15.

b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.

Step-by-step explanation:

2a + 7 = 15

→ Minus 7 from both sides

2a = 8

→ Divide both sides by 2

a = 4

4m - 6 = 2

→ Add 6 to both sides

4m = 8

→ Divide both sides by 2

m = 2                

Answer:

$2.45

Step-by-step explanation:

First, we find how much 20% of 12.25 is:

we can convert 20% directly to a decimal:

20% = 0.2  

Then we find

20% of 12.25 = 0.2 x 12.25 = 2.45

So Maria's tip would be $2.45

The probability of selecting three green envelopes is 1/35.

We want to find the probability of selecting three green envelopes without replacement. This means we need to calculate two things:

The number of ways to select three envelopes from the collection without replacement.

The number of ways to select three green envelopes from the collection without replacement.

Let's start with the first calculation. To select three envelopes from the collection without replacement, we need to use the formula for combinations (also known as binomial coefficients), which gives us:

(7 choose 3) = \(7! / (3! * (7-3)!)\) = 35

So, there are 35 ways to select three envelopes from the collection without replacement.

Now let's move on to the second calculation. We want to find the number of ways to select three green envelopes from the collection without replacement. Since there are only 3 green envelopes in the collection, this is a much simpler calculation - there is only one way to select all three green envelopes.

So, the probability of selecting three green envelopes is simply the number of ways to select three green envelopes divided by the number of ways to select any three envelopes:

1 / 35

Therefore, the probability of selecting three green envelopes is 1/35.

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Answer:

2:3 = 66%

Step-by-step explanation:

⇒ Convert the fraction 2/3 into decimal

⇒ 2/3 = 0.666

⇒ Multiply the decimal by 100: 0.66 × 100 = 66%

Therefore, the solution is 66%.

Answer:

8.5 quarts

Step by step explanations:

divide the volume value by 2

Answer:

9) JI=41

8) A

Step-by-step explanation:

Question 1:

We know that DE=GF, so that means that HJ=JI.

We can substitute in the values into an equivalent equation:

3x+20=15x-64

solve for x by adding 64 to both sides

3x+84=15x

subtract 3x from both sides

84=12x

divide both sides by 12

x=7

Then we can substitute 7 for x in the equation:

15x-64

15(7)-64

simplify

41

So, JI=41

Question 2:

The general (standard) form of an equation is:

\((x-h)^{2} + (x-k)^{2} =r^{2}\)

with (h,k) being the center of the circle.

From the graph given, we can see that the center of the circle is at (-3,-3), and the radius is 4.

We can substitute in these values:

(x+3)²+(x+3)²=16

So, the correct answer would be A.

Hope this helps! :)

The average monthly temperature for July is $90 degrees Fahrenheit.

To calculate the average monthly temperature for July, we need to determine the value of y when t corresponds to July.

In the given equation, y = 70.5 + $19.5sin[(π/6)(t - 4)], t represents the number of months, with t = 1 representing January.

Since July is the seventh month of the year, we can substitute t = 7 into the equation to find the average monthly temperature for July:

y = 70.5 + $19.5sin[(π/6)(7 - 4)]

= 70.5 + $19.5sin[(π/6)(3)]

= 70.5 + $19.5sin[π/2]

= 70.5 + $19.5(1)

= 70.5 + $19.5

= 90

Hence the temperature in july is 90 degree farenheit.

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Answer:

Mean = 81°F.

S. dev. = 5°F.

Step-by-step explanation:

When we have a set of data:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

M = (x₁ + x₂ ... + xₙ)/N

Where N is the number of data points that we have:

in this case the set is:

{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }

So N = 8.

Then the mean is:

M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8

M = 81°F.

Now, the standard deviation can be calculated as.

Sd =  √ ( (1/N)*∑(xₐ - M)^2)

where the summation is over xₐ, which represents a summation over all the points in the data set.

Then we can write the standard deviation as:

Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)

Sd = 4.58°F.

That we should round up to 5°F (because our mean has no digits after the decimal point)

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

Answer:

Step-by-step explanation:

slope is -1/3

y=-1/3x+b

take the point (1,0) and put in the equation

0=-1/3(-1)+b

0=1/3+b

-1/3+0=-1/3+1/3+b

-1/3=b

y=-1/3-1/3

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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The value of x , y and z in the parallel line is 50 degrees.

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

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Answer/Step-by-step explanation:

If Janie works 5 Hours and earn $35.75..

And It asking for Janie earn for each hour she works..

Therefore, we have to divide to Find how much Janie earn for each hour.

$35.75/5=$7.15

Hence. Janie earn $7.15 each Hour she work.

[RevyBreeze]

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:

Proof for `(n + 3)7 = O(n7)`.

We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.

As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.

Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.

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2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Check the picture below.

\(\cfrac{x}{10}=\cfrac{24.5}{14}\implies x=\cfrac{(10)(24.5)}{14}\implies x=\cfrac{245}{14}\implies x=17.5\)

Answer:

m∠RSP = 130°

Step-by-step explanation:

In parallelogram,opposite angles are equal.

m∠RSP = m∠PQR

m∠RSP = 130°

Answer:

∠RSP=130

Step-by-step explanation:

It is given that ∠PQR = 130°

∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)

To change the chart style to style 42 (2nd column 6th row), follow these steps:

1. Select the chart you want to modify.
2. Right-click on the chart, and a menu will appear.
3. From the menu, choose "Chart Type" or "Change Chart Type," depending on the version of the software you are using.
4. A dialog box or a sidebar will open with a gallery of chart types.
5. In the gallery, find the style labeled as "Style 42." The styles are usually represented by small preview images.
6. Click on the style to select it.
7. After selecting the style, the chart will automatically update to reflect the new style.

Note: The position of the style in the gallery may vary depending on the software version, so the specific position of the 2nd column 6th row may differ. However, the process remains the same.

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Answer:

1. D. Wiley has to defeat the Hairy Man three times to make him go away.

2. A. Wiley gets out of the tree without being hurt by the Hairy Man.

3. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

4. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

5. The most important lesson Wiley learns in "Wiley, His Mother, and the Hairy Man" is, 'It is better to be a clever person than a strong one.' Option C.

6. They confront the that their partner/friend giles corey died becasue he was phused over to confessed to witchcraft.

Step-by-step explanation:

1. "Wiley, His Mother, and the Hairy Man" is a musical play that has it depends on an oral established story of the South of the United States.

Wiley is the hero of the play as he is the character that endures the principle struggle, against his adversary the Hairy Man, and furthermore on the grounds that the play is centered around his contention as well as on Wiley's association with his mother.

3. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

4. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

5. "Wiley, His Mother, and the Hairy Man" is a short story for children with a beautiful message. The story depicts how Wiley deals with a Hairy man who was quite dangerous to be handled alone and who used to steal baby. One day it so happens that, when Hairy man was about to steal a baby, Wiley changed that baby for a pig, thus defeating the Hairy man.

This way Wiley learned a lesson that its always better to be a clever person than a strong one. Wiley's smartness helped him to save the life of a baby.

6. I just learned that last week

Answer:

D

Step-by-step explanation:

Solution:-

- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.

- There are certain guidelines that must be followed when performing any translations of any function f ( x ).

Translation Guideline

  Vertical shifts

  Horizontal shifts

Where, " a " and " b " are constants for respective horizontal and vertical shifts.

- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:

 Generalized shift: f ( x ) - > f ( x ± a ) ± b

Where,   a: Unit of horizontal shift

               b: Unit of vertical shift

- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).

                          \(f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2\)

- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.

- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )

Answer: The function f ( x ) is slided a = 7 units to the left!              

The height of a triangle is 4.8cm. The length of a perpendicular line segment starting on a side and intersecting the opposing angle defines a triangle's height. Every triangle has three sides, which results in three heights, or altitudes.

The line segment perpendicular to the base of the triangle from its point of highest point is its height. We may apply the Pythagorean Theorem to the triangle the height forms because it forms a right angle with the base. The base of the original triangle will be divided in half by the height since it is isosceles (has two equal sides). Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height. Since this is the smallest side of the triangle, the base would be equal to half of five (2.5). A triangle is said to be equilateral if its three heights are all equal.

If area and base are given: height = 2A/ b = (2 × Area) / base.

Area=8*6/2=48/2=24cm

Height=2*24/10=4.8cm

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The 95% confidence interval for the mean tip percentage is (3.49, 4.22)

Confidence interval is the two-sided limit consisting of the lower limit and the upper limit and the value between the two limits is the parameter value.

For this question, we have given a graph of the data, so we only need to see the data and interpret that to answer the question.

First, since confidence interval is 95% so we must see 2.5% limit for two side or equal to 0.025.

For the lower limit, see upper value of dot plot then see separate lowest 0.025 of data is 3.491 or 3.49.

For the upper limit, see lower value of dot plot then see separate highest 0.025 of data is 4.224 or 4.22.

Thus, the 95% confidence interval is (3.49, 4.22) for the mean tip percentage.

Your question is incomplete, but most probably your full question was (image attached)

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The rate of change of angle of elevation between the radar station and airplane is

                       \(\displaystyle \frac{-10}{109} \left(\frac{rad}{min}\right)\)

The airplane is flying at the speed of 200 mph

The airplane is at an altitude of 3 miles over the radar station

The distance travelled by the airplane after 3 mins

      distance = speed x time

                     = 200 mi/hr x 3 min

Since the speed is hour let us convert it to mins

                     = 200 x 3 x 1/60

                     = 600 / 60

                    = 10 miles

So , let us assume that the airplane is exactly at the top of the radar station at an altitude of 3 miles

Then the elevation angle of the between radar station and airplane can be find by

                              tan θ = O / A
where O is the opposite side to the angle of elevation

          A is the adjacent side to the angle of elevation.

But we need the find the rate of change of angle of elevation , so let us differentiate on both side with respect to time

                                \(\displaystyle sec^{2}\theta\frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{A^{2}}\)

                                        \(\displaystyle \frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{sec^{2}\theta A^{2}}\)

                                       \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{sec^{2}(10)^{2}}\)

The altitude is gonna be a constant , thus the derivative of altitude will be zero whereas , the the distance travelled by airplane is changing with respect to time.

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{\frac{109}{100}(10)^{2}}\)

We had found the value of sec²θ = (hyp/adj)²

                                    \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \frac{rad}{hr}\)

Now , let us convert in terms of rad/min

                                   \(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \left(\frac{1}{60}\right)\)

                                  \(\displaystyle \frac{d\theta}{dt} = \frac{-10}{109} \left(\frac{rad}{min}\right)\)    

Therefore , the rate of change of angle of elevation is -10/109 (rad/min)    

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Answer :- Constant term

In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.