Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?

x=5 is the required equation of straight line

The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.

According to the given value;

slope of line is Y₂-Y₁/X₂-X₁

hence slope for given line will be

3-(-2)/5-5 =5/0 = ∞

slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant

now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)

Hence,x=5 is the required equation of straight line .

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Answer: 0.69

Step-by-step explanation:

1.242 ÷ 1.8=

1.242/1.8=0.69

Answer:I think the answer is B

Step-by-step explanation:

Answer:

This is actually really confusing cause there is to options its either B or C

Step-by-step explanation:

The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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Answer:

he sold 24 t-shirts i think...

Step-by-step explanation:

take 168 because its the total and subtract the amount he made from the hats which was 54 and you get 144 which is how much he made from selling shirts and if you divide that by 6 dollars (how much the shirts cost) you get 24

Answer:

4cm^2

Step-by-step explanation:

Area of parallelogram = base × height

Area = 4 × 1

= 4cm^2

If two square matrices of order n, namely a and b, have the same determinant (det(a) = det(b)), then the determinant of their product ab, denoted as det(ab), is equal to the determinant of the square of matrix a, denoted as det(a²).

The determinant of a matrix is a scalar value that can be computed using various methods, such as cofactor expansion or row reduction. The determinant of a product of two matrices is equal to the product of their determinants, i.e., det(ab) = det(a) × det(b).

Given that det(a) = det(b), we can substitute this equality into the determinant of the product of a and b, i.e., det(ab) = det(a) × det(b).

Since we are trying to prove that det(ab) = det(a²), we need to find the determinant of a². The square of a matrix a, denoted as a², is the product of matrix a with itself, i.e., a² = a × a.

Using the determinant property for the product of two matrices, we have det(a²) = det(a) × det(a).

Now, substituting det(a) = det(b) into the equation for det(a²), we get det(a²) = det(a) × det(a) = det(a) × det(b).

Comparing this with the earlier equation for det(ab), we see that det(ab) = det(a²), as both equations are equal.

Therefore, we can conclude that if a and b are square matrices of order n, and det(a) = det(b), then the determinant of their product ab, denoted as det(ab), is equal to the determinant of the square of matrix a, denoted as det(a²).

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Step-by-step explanation:

There are no exponents or division? as is, all of these are linear because there are no exponents, division by a variable, or square roots. did you miss something writing this? these are all changing at a constant rate.

Factoring an equation is the process of finding the common factors that multiply to give the terms in the equation. It is a fundamental skill in algebra and is used to simplify equations, solve equations, and find solutions to problems.

In this example, we have factored the equation by using the distributive property in reverse. We have removed the product of (x+4)(x+2) from both sides of the equation. This is a very common method of factoring equations.

Another way to factor an equation is to use the difference of squares method. For example, x^2 - 25 = (x+5)(x-5).

A third method is to factor by grouping. For example, x^3 + 4x^2 -4x - 16 = (x^3 + 4x^2) - (4x + 16) = x(x^2 + 4x) -4(x + 4).

It's also important to note that not all equations can be factored. In some cases, you may need to use other methods such as completing the square or using the quadratic formula to solve the equation.

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Answer:

\(\sqrt{95}/5\)

Answer:

He throws 7 passes

Step-by-step explanation:

say he throws x more completed passes.

62.5% = 5/8. So, counting up all the completions, we must have

18 + x = 5/8 (33+x)

He total completes:

18 passes during the first three quarters and x passes

during the fourth quarter = 18 + x passe

He total make:

33 throws during the first three quarters and x throws

during the first the fourth quarter = 33 + x

62.5 % = 62.5 / 100 = 0.625

Proportion is:

( 18 + x ) / ( 33 + x ) = 0.625

Multiply both sides by 33 + x

18 + x = ( 33 + x ) ∙ 0.625

18 + x = 33 ∙ 0.625 + x ∙ 0.625

18 + x = 20.625 + 0.625 x

Subtract 18 to both sides

18 + x - 18 = 20.625 + 0.625 x - 18

x = 2.625 + 0.625 x

Subtract 0.625 x to both sides

x - 0.625 x = 2.625 + 0.625 x - 0.625

0.375 x = 2.625

Divide both sides by 0.375

x = 2.625 / 0.375 = 7

In the fourth quarter throw 7 passes.

Proof:

( 18 + 7 ) / ( 33 + 7 ) = 25 / 40 = 0.625 = 62.5 %

There are 7 passes does the quarterback throw in the fourth quarter.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A quarterback completes 18 of 33 passes during the first three quarters of a football game.

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

Now,

By the given condition, we get;

Let x passes during the fourth quarters.

Hence, The total completes for 18 passes during first quarter = 18 + x

And, The total completes for 33 passes during first quarter = 33 + x

And,  He completes every pass in the fourth quarter and 62.5% of his passes for the entire game.

So, 62.5% = 62.5 / 100

                = 0.625

Thus, We get by proportions;

⇒ (18 + x) / (33 + x) = 0.625

Solve for x as;

⇒ (18 + x) / (33 + x) = 0.625

⇒ (18 + x) = (33 + x) × 0.625

⇒ 18 + x = 20.625 + 0.625x

⇒ x - 0.625x = 20.625 - 18

⇒ 0.375x = 2.625

⇒ x = 2.625 / 0.375

⇒ x = 7

Thus, There are 7 passes does the quarterback throw in the fourth quarter.

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Answer:

6.71

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

6^2+3^2=c^2

36+9=c^2

45=c^2

6.71=c

To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

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Answer:

\(15^{3}\)

Step-by-step explanation:

\(15^{3} =(15)(15)(15)=3375\)

Hope this helps

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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The system of inequalities that models this situation is given as follows:

The variables of the system of inequalities are given as follows:

Alia needs to bring at least 25 pieces of fruit to a training practice, hence:

x + y ≥ 25.

She was told to be sure to bring more than 10 apples, hence:

x > 10.

The problem asks for the system of inequalities that models this situation.

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Hello,

\(34 = p + 19\)

\(34 - 19 = p + 19 - 19\)

\(15 = p\)

\(p = 15\)

Answer:

1/3

Step-by-step explanation:

There are 3 rectangles, so 1 rectangle is 1 out of 3 rectangles.  So the fraction would be 1/3.

Each rectangle is 1/3 fraction of the complete design.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Given is a design drawn by Mai.

The design consists of three rectangles.

Also, given that each of the rectangle has the same area.

This means that if we find one of the rectangle's area, multiply it by 3 and we will get the whole area.

Or in other words, if we find the whole area, then divide it by 3 to get each of the rectangle's area.

So the required fraction is 1/3.

Hence the fraction is 1/3.

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Answer:

The answer is 32

Step-by-step explanation:

First (6-2)= 4

Second 4+4= 8

Third 2+12+16= 30

and lastly 38-6= 32

HOPE THIS HELPED!

\(\huge\text{Hey there!}\)

\(\large\text{Do PEMDAS}\)

\(\large\text{Parentheses}\)

\(\large\text{Exponents}\)

\(\large\text{Multiplication}\)

\(\large\text{Division}\)

\(\large\text{Addition}\)

\(\large\text{Subtraction}\)

\(\large\text{6 - 2 + 4}\times\large\text{2}\)

\(\large\text{6 - 2 = 4}\)

\(\large\text{4 + 4}\times\large\text{2}\)

\(\large\text{4}\times\large\text{2 = 8}\)

\(\large\text{4 + 8 = 12}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 12}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

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Answer:

It doesn't

Step-by-step explanation:

When a shape is scaled up or down, the angles don't change.

It's easier to picture using a square. Like no matter how long the sides are, the angles are all 90 degrees. Its the same with every shape though- as long as it's evenly resized.

A) The theoretical probability of drawing a red card is 1/2.

B) The theoretical probability of the intersection of the events "The first draw is a club" and "The second draw is a club" is 13/208

C) The theoretical probability of drawing a spade given that the card drawn is black is 1/2

D) The events "The card drawn is a spade" and "The card drawn is black" are not independent.

A) The theoretical probability of drawing a red card is:

P(Red card) = Number of red cards / Total number of cards

= 26/52

= 1/2

B) The probability of drawing a club on the first draw and a club on the second draw is the product of the probabilities of each event:

P(First draw is a club ∩ Second draw is a club) = P(First draw is a club) * P(Second draw is a club)

= (13/52) * (13/52)

= 169/2704

= 13/208

C) The probability of drawing a spade given that the card drawn is black is:

P(Spade | Black card) = P(Spade ∩ Black card) / P(Black card)

= 26/52

= 1/2

D) To determine if the events "The card drawn is a spade" and "The card drawn is black" are independent, we need to check if the probability of drawing a spade is affected by the knowledge that the card drawn is black. From Part C, we know that:

P(Spade | Black card) = 1/2

The probability of drawing a spade without any additional information is:

13/52 = 1/4.

Since P(Spade | Black card) ≠ P(Spade), the events are dependent, and not independent.

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The surface temperature is found to be  approximately 11°C.

Given:

Pipe inner diameter, di = 4cm

= 0.04m

Pipe outer diameter, do = 4.6cm

= 0.046m

Thermal conductivity of stainless steel, kss = 15 W/m.K

Thickness of glass wool insulation, L = 3.5cm

= 0.035m

Thermal conductivity of glass wool insulation, kgi = 0.038 W/m.K

Outer emissivity of the insulation, εo = 0.3

Heat transfer coefficient inside the pipe, hi = 80 W/m2.K

Film temperature, Tfilm = 10°C = 283K

Air velocity, V = 2m/s

Air viscosity, μ = 1.426 × 10–5m2/s

Air thermal conductivity, ka = 0.02439 W/m.K

Air Prandtl number, Pr = 0.7336

Outer surface temperature of the insulation is T∞ = 3°C = 276K

The surface temperature of the insulation is given by;

Ts = T∞ + q″Rout/hsq″

= hi (Tsteam – Ts) …(1)

The overall resistance to heat transfer from steam to the surrounding air and surfaces is given by;

Rtot = Ri + Rk + Ro + Rconv + Rrad

Ri = (ln(do/di))/(2πkss)

= (ln(0.046/0.04))/(2 × π × 15)

= 0.0001926 m2.K/W…(2)

Rk = L/(2πkgi)

= 0.035/(2π × 0.038)

= 0.0145 m2.K/W…(3)

Ro = 1/(2πεoσout) [(1/do) – (1/di)]

= [1/(2π × 0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.004685 m2.K/W…(4)

Rconv = 1/hs

= 1/hi

= 0.0125 m2.K/W…(5)

Rrad = 1/(εoσout) [(1/do) – (1/di)]

= [1/(0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.0028 m2.K/W…(6)

Rtot = Ri + Rk + Ro + Rconv + Rrad

= 0.0001926 + 0.0145 + 0.004685 + 0.0125 + 0.0028

= 0.0346776 m2.K/W…(7)

From equation (1);

q″ = hi (Tsteam – Ts)

q″ = (Tsteam – Ts)/Rtot

(Tsteam – Ts) = q″ Rtot

(Tsteam – Ts) = hi

q″ Rtot TsTsteam = Ts + hi

q″ RtotTsteam = 276 + (80 × π × 0.04 × 0.6)/3600 × (693.7 – 276 + 0.24 × 5.67 × 10–8 × [(693.7)4 – (276)4])

Tsteam = 693.7K

Ts = T∞ + q″Rout/hs

Ts = 276 + (693.7 – 276) × 0.004685/80

Ts = 284.54K

The surface temperature is 284.54 - 273.15 = 11.39 °C.

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The simplified trigonometric expression is cos(z). We did not get any of the answer choices provided, as they were all incorrect.

Use the trigonometric identities for sine and cosine of negative angles.

Recall that sin(-x) = -sin(x) and cos(-x) = cos(x).

Using these identities, we can simplify the given expression:
sin(z) + cos(-z) + sin(-z)
= sin(z) + cos(z) + (-sin(z))
= sin(z) - sin(z) + cos(z)
= cos(z)

Therefore, the simplified trigonometric expression is cos(z). We did not get any of the answer choices provided, as they were all incorrect.

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Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

Answer:

5?

Step-by-step explanation:

There is no value for x, but the y value for 0 would be 5.

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

Answer:

In equation form the answer is x=0y=10/3 but in point form the answer is (0,10/3)

Step-by-step explanation:

Shaylen's score is at the 42nd percentile, which means that 42% of the students who took the test scored lower than Shaylen.

To find the percentile for Shaylen's score, we can use the formula:

percentile = (number of scores below Shaylen's score / total number of scores) x 100

We are given that Shaylen's score of 455 was higher than the scores of 4226 students. This means that there were 7246 - 4226 = 3020 students who scored higher than Shaylen. Therefore, we can calculate the percentile as:

percentile = (3020 / 7246) x 100

= 0.417 x 100

= 42 (rounded to the nearest percent)

So Shaylen's score is at the 42nd percentile, which means that 42% of the students who took the test scored lower than Shaylen.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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