Temperature Suppose there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 46.2°F, what
will be the temperature when the plane reaches an altitude of 10,000 ft?
The temperature will be
PF. (Type an integer or a decimal.)

Answer:

B. Graph 2 represents a proportional relationship, but graph 1 does not.

Step-by-step explanation:

All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.

Examples (all found in Graph 2):

15/3 = 5

10/2 = 5

5/1 = 5

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

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A is an n x n diagonal matrix with rank r , where rsn  and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r "  about A is true

Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.

For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.

Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.

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9514 1404 393

Answer:

Step-by-step explanation:

The base angles of each isosceles triangle are congruent. So ∠ABD = ∠BAD = 36°. The exterior angle BDC is the sum of the remote interior angles BAD and ABD, so is 36°+36° = 72°. Angle DCB is congruent to that, so is 72°.

Angle BDA is the supplement of angle BDC, so is ...

  ∠BDA = 180° -72° = 108°

Angle DBC can be computed a couple of ways. One is to make use of the relationship to exterior angle BDA:

  ∠DCB +∠DBC = ∠BDA

  ∠DBC = 108° -72° = 36°

In summary, ...

Answer:

$87.50

Step-by-step explanation:

you do 12.50(hourly wage) times 7 (the number of hours worked)

The required measure for the supplementary angles EB is calculated as 126°.

Given that,
Two supplementary angles are given ZA and ZB.
ZA = 2x - 20 ; ZB = 3x + 15

To determine the measure of ZB.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The sum of the supplementary angle is 180°.
ZA + ZB = 180°
2x - 20 + 3x + 15 = 180
5x - 5 = 180
5x = 180 + 5
5x = 185
x = 37
Now,
the measure of angle,
ZB = 3x + 15
ZB = 3 * 37 + 15
ZB = 126°

Thus, the required measure of the angle EB is 126°.

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Answer:

-7 + 5 = -2

Step-by-step explanation:

-7 + 5 = -2 is the correct equation as you can see it ended on -2 so in this equation also it's -2

Hey there :)

Answer is Step 2

Check attached image also.

The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.

To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:

Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².

Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.

Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.

Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.

By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.

Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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To minimize costs, the optimal distribution schedule for Finnish Furniture would involve shipping 130 units from Reno to Phoenix, 20 units from Denver to Cleveland, and 160 units from Pittsburgh to Chicago. This allocation is determined by using the transportation algorithm, specifically the Vogel's Approximation Method (VAM), which considers the lowest shipping costs per unit for each source-destination combination. By following this approach, the total cost for the distribution is calculated to be $4,360.

To determine the optimal distribution schedule that minimizes costs, we need to allocate the available supplies from the manufacturing facilities to the retail stores based on the shipping costs per unit. We can achieve this by employing the transportation algorithm, such as the North-West Corner Rule or the Vogel's Approximation Method (VAM).

Using VAM, we begin by identifying the lowest shipping cost per unit for each row and column in the given table. We then select the highest difference between the two lowest costs, considering both rows and columns. This difference indicates the most cost-effective allocation.

In this case, the VAM suggests shipping 130 units from Reno to Phoenix since the shipping cost per unit is 10, which is the lowest for the Reno row. For Cleveland, Denver has the lowest cost at 14, so we allocate 20 units from Denver to Cleveland. Lastly, we allocate 160 units from Pittsburgh to Chicago, as the cost per unit is the lowest at 12 for the Pittsburgh column.

Now, let's calculate the total cost. The cost of shipping 130 units from Reno to Phoenix is 130 x 10 = $1,300. Shipping 20 units from Denver to Cleveland costs 20 x 14 = $280. Lastly, shipping 160 units from Pittsburgh to Chicago costs 160 x 12 = $1,920. Adding these costs together gives us a total cost of $1,300 + $280 + $1,920 = $4,360.

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Answer:

249.6

Step-by-step explanation:

width x height x 1/2 = area fo a triangle

12(2) x 10.4(2) x 1/2 = 249.6

I assumed this means all of the surface area. Hope this helps. Sorry if I'm wrong.

Answer:

v= cube root of 12 or 2. 2894 or 2.3

Step-by-step explanation:

cube root of v³ = v

cube root of 12 = ³√12

Answer:

Step-by-step explanation:

If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

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The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

The mean and standard deviation of the difference in the number of dvds rented are 0 and 59 respectively.

The positive square root of the variance is what is known as the standard deviation. Standard deviation is one of the fundamental techniques used in statistical analysis.

The measure of how far a value deviates from the mean is known as standard deviation, which is often abbreviated as SD and represented by the symbol "." The closer the values are to the mean, the lower the standard deviation, while the farther away from the mean the values are, the higher the standard deviation.

Let X₁ & X₂ be the two days.

Then, mean of the difference in the number of DVDs rented is

E(X₁ -  X₂) = E(X₁) - E(X₂)

                = 134 - 134

                = 0

The variance of the difference in number of DVDs rented is

V(X₁ -  X₂) = V(X₁) + V(X₂) - 2Cov(X₁, X₂)

                = 42² + 42² - 2(0)

                = 3528

The standard deviation of the difference in the number of DVDs rented is

SD(X₁ -  X₂) = \($$ \sqrt{\text V(X_1 - X_2)} $$\)

                    = √3528

                    ≈ 59

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Answer:

5.49x=35

Step-by-step explanation:

the x is the number of markers

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

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

7x = 42

x = 6

y = 18

Step-by-step explanation:

3/4÷1/5

15/20÷4/20

we flip the second fraction and change the ÷ into ×

15/20×20/4=300/80

and now you can simplify this fraction.

Step-by-step explanation:

3/4 / 1/5

3/4 x 5/1

=15/4

Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.

Here,

The slope of the line that contains side TU can be found by using the slope formula:

slope = (change in y)/(change in x)

For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:

slopeTU = (2)/(2)

= 1

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Answer:

C. -6b-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

b -11b

Answer:

_____________________________

2 x 5 = 10

2 x 4 = 8

10 + 8 = 18

______________________________

5 + 4 = 9

_______________________________

_ 9 = 18

18 : 9 = 2

Answer: x= -1

Step-by-step explanation:

The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.

This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.

In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.

So, the matrix A must have the following form:

A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

where each aij is a scalar.

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the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

half life = 12.4 hours

initial amount = 746g

time elapsed = 62 hours

Using the half-life formula:

Substitute for the values:

Hence, the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

Answer:

0.67 mi

Step-by-step explanation:

The diagram illustrating the question is shown in the attach photo.

In triangle DCA,

Opposite = H

Adjacent = b

Angel θ = 27°

Tan θ = Opp /Adj

Tan 27° = H/b

Cross multiply

H = b x Tan 27°... (1)

From triangle DSA,

The diagram illustrating the question is shown in attach photo.

In triangle DCA,

Opposite = H

Adjacent = 2.3 – b

Angel θ = 34°

Tan θ = Opp /Adj

Tan 34° = H/ 2.3 – b

Cross multiply

H = Tan 34° (2.3 – b) .. (2)

Equating equation (1) and (2)

b x Tan 27° = Tan 34° (2.3 – b)

0.5095b = 0.6745(2.3 – b)

0.5095b = 1.55135 – 0.6745b

Collect like terms

0.5095b + 0.6745b = 1.55135

1.184b = 1.55135

Divide both side by 1.184

b = 1.55135/1.184

b = 1.31 mi

Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.

H = b x Tan 27°

H = 1.31 x Tan 27°

H = 0.67 mi

Therefore, the height of the drone is 0.67 mi

The height of the drone is 0.67 mi

In triangle DCA,

Opposite = H

Adjacent = b

Angel θ = 27°

Tan θ = \(Opp \div Adj\)

Tan 27° =\(H\div b\)

Now we have to do the cross multiply

\(H = b \times Tan 27^{\circ}... (1)\)

Now

From triangle DSA,

In triangle DCA,

Opposite = H

Adjacent = 2.3 – b

Angel θ = 34°

Tan θ = \(Opp \div Adj\)

Tan 34° = \(H\div 2.3 - b\)

Now we have to do the cross multiply

H = Tan 34° (2.3 – b) .. (2)

Now

Equating equation (1) and (2)

\(b \times Tan 27^{\circ} = Tan 34^{\circ} (2.3 - b)\)

0.5095b = 0.6745(2.3 – b)

0.5095b = 1.55135 – 0.6745b

Now

0.5095b + 0.6745b = 1.55135

1.184b = 1.55135

b = 1.31 mi

Now

\(H = b \times Tan 27^{\circ}\\\\H = 1.31 \times Tan 27^{\circ}\)

H = 0.67 mi

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Answer:

Commutative Property

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.

Answer:

5/36

Step-by-step explanation:

I got it right

The linear relationship on the table has a constant slope

The linear relationship is (c) y is 3 times x

The table of values is given as:

x l y

3 l 9

0 l 0

For both x and y values on the table, we have:

y = 3x

i.e.

3 * 3 = 9 and 3 * 0 = 0

This means that the linear relationship is (c) y is 3 times x

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The Excel function =40*RAND() generates random numbers between 0 and 40.

Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.

The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.

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