Charles wants to hang the pennant shown vertically between two windows that are 19 inches apart. Will the pennant fit? Explain.

A right triangle. The length of the hypotenuse is 41 inches. The angle between the hypotenuse and the longer leg measures 30 degrees.

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

Step-by-step explanation:

Joe, do you recall this formula ?  mid-segment =  \(\frac{1}{2}\)(base1 + base2)  ?

where AD = base1  

and BC = base2

and mid-segment is EF

recall that this formula works, as long as EF is at the mid-point between the two top and bottom bases only.

The trapezoid is telling us ,  with the same length lines, that this is the case.

Then

EF =   \(\frac{1}{2}\)( x-3  +  2x -10 )

see how I got that?

EF =    \(\frac{1}{2}\)( 3x -13 )

EF =\(\frac{3}{2}\)X - \(\frac{13}{2}\)

also remember that EF = x

x  = \(\frac{3}{2}\)X - \(\frac{13}{2}\)

x  + \(\frac{13}{2}\) =  \(\frac{3}{2}\)X  - \(\frac{13}{2}\) + \(\frac{13}{2}\)

x  + \(\frac{13}{2}\) =  \(\frac{3}{2}\)X

x - x + \(\frac{13}{2}\) =  \(\frac{3}{2}\)X - x

\(\frac{13}{2}\)  =  \(\frac{1}{2}\)X

\(\frac{2}{1}\) * \(\frac{13}{2}\) = \(\frac{2}{1}\) *  \(\frac{1}{2}\)X

13 = x

EF = 13    :)

Answer:

15

Step-by-step explanation:

4 (Book per cost)+ 4.47 (Shipping Fee) = 8.75 cost of one book $132.75 Divided by $8.75 = 15 Books bought.

Answer:-3

Step-by-step explanation:its just -9 + b/3 = -3 not even hard

If after hip surgery, your physical therapist tells you to slowly return to walking. The number of  weeks it will be before you are up to 45 minutes of walking per day is: c. 9.

Since the therapist suggests walking for 5 minutes each day for the first week and increasing that time by 5 minutes per day each week thereafter.

Hence,

You will  tend to need 9 weeks to reach 45 minutes of walking per day which are:

Week 1: 5 minutes

Week 2: 10 minutes

Week 3: 15 minutes

Week 4: 20 minutes

Week 5: 25 minutes

Week 6: 30 minutes

Week 7: 35 minutes

Week 8: 40 minutes

Week 9: 45 minutes

The total number of weeks are 9 weeks.

Therefore the correct option is C.

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The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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136 - 56 = 80 songs kept

Ratio of songs kept to songs deleted is:

80:56

Simplify by dividing each number by 8:

The simplest form is: 10/7

Given the complex number:

The n n-th roots of the complex number z are given by:

We must find all the cube roots of the following complex number:

For this number, we identify:

Using the formula above with these numbers, we get:

Answer

n = 12 + 15 = 27

Probability of choosing girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

\(P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} \)

The probability that he will choose a girl will be equal to 15/27.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.

The probability that he will choose a girl,

n = 12 + 15 = 27

Probability of choosing a girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Answer:

v= 13

w= -32

Step-by-step explanation:

2v+6w=-36

5v+2w=1

2w= 1-5v

2v+ (3)(1-5v)= -36

2v+3-15v= -36

3-13v =-36

3--36= 13v

39= 13v

13 = V

5×13+2w=1

65+2w=1

1-65= 2w

-64=2w

-32=w

Option (d) is the closest to the correct form of the particular solution.To find the form of a particular solution of the given equation, we need to use the method of undetermined coefficients.

Since r1 - 31 is a root of the characteristic equation, we can assume that the particular solution has the form:
y_p = (Ae^(r1x))(Bcos(x) + Csin(x)) + Dsin(x)

where A, B, C, and D are constants to be determined.

We differentiate y_p to get:

y_p' = Ar1e^(r1x)(Bcos(x) + Csin(x)) + Ae^(r1x)(-Bsin(x) + Ccos(x)) + Dcos(x)

y_p'' = Ar1^2e^(r1x)(Bcos(x) + Csin(x)) + 2Ar1e^(r1x)(-Bsin(x) + Ccos(x)) + Ae^(r1x)(-Bcos(x) - Csin(x)) - Dsin(x)

Substituting y_p, y_p', and y_p'' into the given equation, we get:

13Ar1^2e^(r1x)(Bcos(x) + Csin(x)) + 2Ar1e^(r1x)(-Bsin(x) + Ccos(x)) - Ae^(r1x)(Bcos(x) + Csin(x)) + 36(Ae^(r1x))(Bcos(x) + Csin(x)) - 36Dsin(x) = 22* + sin(x) + 5

Simplifying and equating coefficients of like terms, we get:

13Ar1^2B + 2Ar1C - AB + 36AB = 5    (coefficients of cos(x))
13Ar1^2C - 2Ar1B - AC + 36AC = 22* + 1  (coefficients of sin(x))
-13Ar1^2A + 2Ar1B - Ae^(r1x)B + Ae^(r1x)C = 0    (coefficients of e^(r1x))
-36D = 5   (coefficients of sin(x))

Solving for A, B, C, and D, we get:

A = 0
B = 5/(13r1^2 + 36)
C = (22* + 1 - 2Ar1B - 13Ar1^2C)/(2Ar1 - AC + 36C)
D = -5/36

Therefore, the form of the particular solution is: y_p = (5/(13r1^2 + 36))(Bcos(x) + Csin(x)) - (5/36)sin(x)

where B and C are determined as shown above.

Option (d) is the closest to the correct form of the particular solution.

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Answer:

1, 0, and 2

Step-by-step explanation:

the domain is the first number in each ordered pair.

Answer:

1, 0, 2 are the domain.

Step-by-step explanation:

All x-values are the domain and all the y-values are the range.

Hope that helps and have a great day!

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

We can respond to that by addressing the problem at hand by equation Intended outcome: E(Rp) = 10.36%; Typical deviation: 28.79% and 0.29% Sharpe ratio

A math equation is a procedure that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions

x + y + z = 1 (the proportions must sum up to 1) (the proportions must add up to 1) Portfolio return anticipated: E(Rp) is defined as x * E(Rs) + y * E(Rb) + z * Rf. Deviation from the portfolio's mean: p = sqrt(x2 * s2, y2 * b2, z2 * 0 + 2xy * sb, s, and b)

We must do a problem to determine the values that maximise the Sharpe ratio in order to determine the ideal ratios of x, y, and z:

Sharpe ratio is equal to (E(Rp) - Rf) / p.

To calculate the ideal ratios and portfolio statistics, we can use a spreadsheet or a solver. The answer is:

In other words, invest 74% in the stock fund and 26% in the bond fund, with the ratios being x = 0.74, y = 0.26, and z = 0.

Intended outcome: E(Rp) = 10.36%

Typical deviation: 28.79%

0.29% Sharpe ratio

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Answer:

144

Step-by-step explanation:

Abigail wants to produce a tapestry that will be in the shape of a parallelogram

The tapestry is 24 inches across the bottom and 36 inches tall

She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall

The first step is to find the area of the whole tapestry

Area = base × height

Base= 24 inches

Height= 36 inches

Area= 24×36

= 864 square inches

The next step is calculate the area of the smaller pieces

Area= base × height

Base= 2 inches

Height= 3 inches

Area= 2×3

= 6 square inches

Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces

= 864/6

= 144

Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.

Answer:

144

Step-by-step explanation:

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The tip of the pendulum travels 22.33 inches in a singles swing.

A pendulum is a weight suspended from a pivot so that it can swing back and forth under the influence of gravity. Pendulums are commonly used as timekeepers in clocks, but they also have other applications, such as in seismology, where they can be used to detect earthquakes.

Each swing does an angle of 40° in each direction, so we have a total angle of 80°.

Then, we want to get the length of an arc defined by an angle of 80° on a circle with a radius of 16 in, this is:

L = (80°/360°) * 3.14 * (2 * 16 in)

   = 22.33 in.

The distance that the tip of the pendulum travels on each swing is 22.33 inches.

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The tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.

To calculate how far the tip of the pendulum travels in a single swing through an angle of 40 degrees, we will use the formula:

Distance = 2 * PI * Length * (angle / 360)

Where PI is approximately 3.14 and Length refers to the length of the pendulum.

In this case, the length of the pendulum is 16 inches. Therefore, we can substitute these values into the formula:

Distance = 2 * 3.14 * 16 * (40 / 360)

Distance = 2 * 3.14 * 16 * 0.111

Distance = 28.3 inches

Therefore, the tip of the pendulum travels approximately 28.3 inches in a single swing through an angle of 40 degrees.

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Answer:

The perimeter of a rectangle is the total length of all four sides.

To find the perimeter of a rectangle with length 4x+2 and width 7y-7, we use the formula P=2L+2W where L is the length and W is the width.

Therefore, P=2(4x+2)+2(7y-7)=8x+14y-10. Thus, the perimeter of this rectangle is 8x+14y-10.

Step-by-step explanation:

Identify the given values of the rectangle: the length is 4x+2 and the width is 7y-7.

Use the formula for perimeter to calculate the perimeter: P = 2(L + W)

Substitute the given values into the equation: P = 2(4x+2 + 7y-7)

Simplify the equation: P = 2(4x + 7y - 5)

Solve for the perimeter: P = 8x + 14y - 10 Therefore, the perimeter of the rectangle is equal to 8x + 14y - 10.

Answer:

14y+8x-10

Step-by-step explanation:

(4x+2)+(7y-7)+(4x+2)+(7y-7)=

4x+2+7y-7+4x+2+7y-7=

8x+4+14y-14=

14y+8x-10

( hopes it helps!)

Answer:

33

Step-by-step explanation:

d (segment length) = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2} \\\)

x1 = -12     y1 = 4

x2 = 21     y2 = 4

So coz of y1 = y2

d = x2 - x1

d = 21 - (-12)

d = 21 + 12

d = 33

Answer:

Step-by-step explanation:

__________________________________________________________

According to Calculator Soup,

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left. Express 50% as a decimal. "Percent" means "per 100" or "over 100".

__________________________________________________________

The answers are Divide by 100 and Move the decimal point two places to the left.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer: 11.05 units

Step-by-step explanation:

plug in the coordinates of U and N into the distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

substitute:

\(\sqrt{(3-2)^2+(-5-6)^2}\)

solve:

\(\sqrt{1^2+(-11)^2}\)

= \(\sqrt{122}\) or 11.05

Answer:

answer is c (0,2)

hope it helps

Answer:

The coordinates of triangle C on the grid are

(-5,4) , (-2,2) and (-2,4)

Step-by-step explanation:

We can identify the coordinates of the vertices of the triangles so as to get a diagram

For the first triangle, we have the following coordinates;

(4,5) , (2,2) and (4,2)

Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis

what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated

Hence, the coordinates of triangle B are;

(4,-5) , (2,-2) and (4,-2)

Lastly we are to reflect triangle B in the line y = x so we get triangle C

A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image

So, the coordinates of triangle C are;

(-5,4) , (-2,2) and (-2,4)

The coordinates of triangle C are  (-5,4) , (-2,2) and (-2,4)

From the given image the vertices of the triangles are

Triangle A has coordinates (4,5) , (2,2) and (4,2)

After reflecting triangle A in the x-axis, triangle B is obtained  

On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.

Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)

Now as triangle B is reflected by the line y = x to get triangle C,  the x and y coordinates of triangle B are interchanged.

So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

11v+35v-30

Step-by-step explanation: