The bearing of a plane form an airport is 065 degrees. Calculate the bearing for the airport form the plane.

Answer:

Additive

Step-by-step explanation:

Answer:

108 inches²

Step-by-step explanation:

Rectangular prism = cuboid

To find how much paper is required to cover the box, we need to find the TSA of the cuboid.

TSA of cuboid = 2 [LB + LH + HB] = 2 [ (3×4) + (3×6) + (4×6) ] = 2 [ 12+18+24 ] = 2 × 54 = 108 inches²

Answer:

18:36

Step-by-step explanation:

their are 18 nickels and 12+6+18=36 total coins

so the ratio is 18 to 36  or  18:36

Answer:

B) No, because the p-value is greater than any reasonable significance level

Step-by-step explanation:

H-null: p = 0.41

H-alt: p =/= 0.41

1 proportion Z test

On a calculator: stat + tests + 5

   p: .41

   x: 245

   n: 600

   prop: =/= p

This gives a p-value = .934

(standard significance level is .05, so this p-value is much larger)

fail to reject H-null

If the p-value is much larger than 0.41 then the null hypothesis is rejected. Then the correct option is B.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day.

To investigate whether the percentage would be different for high school students, 600 high school students were randomly selected.

When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day.

Null hypotheses

p = 0.41

Alternative hypotheses

p ≠ 0.41

The p-value will be given as

p-value = 0.934

The p-value is much larger than p.

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Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

According to the graph given, and using it's concept, it is found that the initial value of the domain is of 0.

The domain of a function is the set that contains all possible input values.

In the graph given in this problem, the function is defined for x between 0 and 2, that is, the domain is [0,2], hence, the initial value of the domain is of 0.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Step-by-step explanation:

3.3% = .033 in decimal

Use the compounding formula

a)  P(t) = 18000 (1 + .033)^t        

b)   for t =2 this computes to 19207.6  bacteria

The value of the given summation of i = 3 to 8 for the given expression is (-2i + 9) is  \(-12\).

What is summation?

The sum of a series of terms is represented mathematically using the summation notation, sometimes referred to as the sigma notation.

The Greek letter sigma, the word to be added, and the range of values for the index variable are written after the Greek letter, which stands for sigma.

To determine the meaning of the provided expression,

\(sum_(i=3)^(8) \ (-2i+9)\\=(-2*3+9) + (-2*4+9) + (-2*5+9) + (-2*6+9) + (-2*7+9) + (-2*8+9)\\=(-6+9) + (-8+9) + (-10+9) + (-12+9) + (-14+9) + (-16+9)\\= 3 + 1 - 1 - 3 - 5 - 7\\= -12\)

Hence, the summation of i = 3 to 8 (-2i + 9) is \(-12\).

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:*

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Hope it helps!

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:

B.

Step-by-step explanation:

First in order to solve this problem we need to simplify the answer choices.

A. 6×8 + 6×6 = 48+ 36

B. 12×4 + 12×1=48+12

C. 4×44 + 4×3=176+12

D. 8×6 + 8×4 = 48+32

As you can see there is one expression that is equivalent to 48+12. Answer choice B is correct.

The expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.

An expression is combination of variables, numbers and operators.

To find the expression that is equivalent to 48 + 12, we need to simplify each of the given expressions and find the one that is equal to 60.

Because the value of 48+12 is 60

A. 6(8 + 6) = 6(14) = 84

B. 12(4 + 1) = 12(5) = 60

C. 4(44 + 3) = 4(47) = 188

D. 8(6 + 4) = 8(10) = 80

Out of the given expressions, only expression B simplifies to 60, which is equivalent to 48 + 12.

Therefore, the expression that is equivalent to 48 + 12 is 12(4 + 1), Option B is correct.

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Answer:

the answer is 16 . the explanation is that because if you have. 200 cm y axis it overcomes the x of other 80

Answer:

.21

Step-by-step explanation:

is

Answer: 0.79

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(\pi\)

Step-by-step explanation:

If a number can be written as an integer/integer in a fraction form or in a decimal form as a terminating or repeating decimal, it is rational.  An integer is a set up numbers that fall into this pattern:

...-3,-2,-1,0,1,2,3...

0.16 is a terminating decimal or 16/100 as a fraction.

2.53 is a terminating decimal or 253/100

-1/5 can be written as a decimal at -0.2 and it terminating.

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

140

Step-by-step explanation:

here,

You have 1050

now

$1050(45×6)

=140 items

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

he earned 135 dolars

Step-by-step explanation:

Answer:

$135

Step-by-step explanation:

first you want to find out how much he makes for 1 hour

36/8=4.5

then you multiply 4.5 by 30 because he makes $4.5 an hour and you want to find out how much money he makes when working 30 hours

The theorem that justifies the similarity of the two triangles is given as follows:

A: AA.

The Angle-Angle (AA) Congruence Theorem states that if two pairs of corresponding angles are congruent, then the triangles are similar.

In other words, if two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle must also be equal in measure, and the two triangles are therefore congruent.

The two pairs of corresponding angles that are congruent in this problem are given as follows:

Hence the third angle will also have the same measure for both triangles.

Hence the AA theorem can be used and the correct option is given by option A.

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The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

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Answer:

Sequence 1 =4

Sequence 2= 35. 70..105...140..175

Step-by-step explanation:

U subtract the previous number with next one

140 - 175 =35.. The you use this as your factor

Example 105 +35 = 140

Hope answer helps

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).

The difference in how we would solve them is that there is a different order of steps.

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The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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