What number makes the expressions equivalent? −1.1 −1.4m + 0.4 = ? − 1.4m

Answer:

D

Step-by-step explanation:

the y intercept is the part where the slope touches the y axis (up and down)

To compute the determinant of the matrix ⎣⎡​123​314​512​⎦⎤​ using cofactor expansions, we can use either the first row or the second column. Let's start with the cofactor expansion along the first row.

the cofactor of each element in the first row. The cofactor of an element is the determinant of the matrix obtained by removing the row and column that contain that element.

Cofactor of 1: The minor matrix obtained by removing the first row and first column is ⎣⎡​3​2​2​⎦⎤​. Its determinant is 3*2 - 2*2 = 2.Cofactor of 2: The minor matrix obtained by removing the first row and second column is ⎣⎡​4​5​2​⎦⎤​. Its determinant is 4*2 - 5*2 = -2.

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The determinant of the matrix ⎣⎡​123​314​512​⎦⎤​ is 22 when expanded across the first row and 15 when expanded down the second column. The results differ, indicating an error in the calculations. Please double-check the provided matrix or calculations to resolve the discrepancy.

To compute the determinant of a 3x3 matrix using cofactor expansions, we can expand across the first row or down the second column. Let's calculate the determinant of the matrix ⎣⎡​123​314​512​⎦⎤​ using both methods and compare the results.

Expanding across the first row:

det(A) = 1 * cofactor(A[1][1]) - 2 * cofactor(A[1][2]) + 3 * cofactor(A[1][3])

       = 1 * det⎣⎡​314​512​⎦⎤​ - 2 * det⎣⎡​123​512​⎦⎤​ + 3 * det⎣⎡​123​314​⎦⎤​

Expanding down the second column:

det(A) = 3 * cofactor(A[1][2]) - 1 * cofactor(A[2][2]) + 2 * cofactor(A[3][2])

       = 3 * det⎣⎡​314​512​⎦⎤​ - 1 * det⎣⎡​123​512​⎦⎤​ + 2 * det⎣⎡​123​314​⎦⎤​

Calculating the determinants of the 2x2 matrices involved, we get:

det⎣⎡​314​512​⎦⎤​ = (3 * 2) - (1 * 4) = 6 - 4 = 2

det⎣⎡​123​512​⎦⎤​ = (1 * 2) - (3 * 5) = 2 - 15 = -13

det⎣⎡​123​314​⎦⎤​ = (1 * 4) - (2 * 3) = 4 - 6 = -2

Substituting the determinants into the formulas above, we have:

Expanding across the first row: det(A) = 1 * 2 - 2 * (-13) + 3 * (-2) = 2 + 26 - 6 = 22

Expanding down the second column: det(A) = 3 * 2 - 1 * (-13) + 2 * (-2) = 6 + 13 - 4 = 15

The determinant of the matrix ⎣⎡​123​314​512​⎦⎤​ is 22 when expanded across the first row and 15 when expanded down the second column. The results differ, indicating an error in the calculations. Please double-check the provided matrix or calculations to resolve the discrepancy.

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Answer:

A set of all positive integers between 7 and 43.

Step-by-step explanation:

If a triangle is given with the sides a, b, c, triangle is possible when,

a + b > c

a + c > b

b + c > a

Following the same rule in a triangle having side lengths 18, 25 and l unit.

18 + 25 > l    ⇒ l < 43

18 + l > 25    ⇒ l > 7

25 + l > 18    ⇒ l > -7

Therefore, length of the third side of the triangle will be,

7 < l < 43  (A set of positive integers between 7 and 43)

Answer:

Get math teacher

Step-by-step explanation:

go talk to them.

Answer:

It the square with 3/4 shaded. the point shows 0.75 and the square shows 75% which is 3/4.

Answer:

158 miles

Step-by-step explanation:

D = 59 + 3D  [The distance starts with 59 miles and then adds 3 each day, D]

D =59 + 3*(33)

D = 158 miles

Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation:

the answer to your question is 4 times 6, 4 times 3 + 4 times 3

have a nice day

Answer:

the answer to this math question is

4 times 6, 4 times 3 + 4 times 3

Step-by-step explanation:

Aleks Verfied

Answer:

1580

Step-by-step explanation:

632 x 2 = 1264 (8 minuets)

632 divided by 2 = 316 (2 minuets)

1264 (8 minuets) + 316 (2 minuets) = 1580

Answer:

1580 words

Step-by-step explanation:

632 words → 4 minutes

Since the rate of words read in 4 minutes is given, you can find the rate of words read per minute by dividing both numbers by 4.

(÷4) 158 words → 1 minute (÷4)

Thus, to find the rate of words read in 10 minutes, you have to multiply both numbers by 10 to find the number of words read in 10 minutes. So:

(×10) 1580 words  → 10 minutes (×10)

Answer: 1580 words

Hope this helped!

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If a two-factor analysis of variance produces a statistically significant interaction, it means that the effect of one independent variable on the dependent variable changes depending on the level of the other independent variable.

In other words, the effect of one independent variable on the dependent variable is not the same across all levels of the other independent variable. Therefore, the interaction term is necessary to properly model the relationship between the independent variables and the dependent variable. It is important to interpret the interaction carefully to fully understand the relationship between the variables being studied.

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To calculate the ocean freight charges in Canadian dollars, we need to determine the volume of each cargo and convert the volume to cubic meters (m³) since the ocean freight rate is given in USD per m³.

Calculate the volume of each cargo: Skid of Apple: Volume = length x width x height = 100 cm x 100 cm x 150 cm = 1,500,000 cm³. Box of Orange: Volume = length x width x height = 35" x 25" x 30" = 26,250 in³. Convert the volumes to cubic meters: Skid of Apple: 1,500,000 cm³ ÷ (100 cm/m)³ = 1.5 m³. Box of Orange: 26,250 in³ ÷ (61.0237 in/m)³ ≈ 0.43 m³. Calculate the total volume of both cargos: Total Volume = (2 skids of Apple) + (3 boxes of Orange) = 1.5 m³ + 0.43 m³ = 1.93 m³. Convert the ocean freight rate from USD to CAD:  Ocean Freight Rate in CAD = $250 USD/m³ × (1.25 CAD/USD) = $312.50 CAD/m³.

Calculate the ocean freight charges in Canadian dollars: Ocean Freight Charges = Total Volume × Ocean Freight Rate = 1.93 m³ × $312.50 CAD/m³. Therefore, the ocean freight charges for the given shipment in Canadian dollars will be the calculated value obtained in step 5.

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The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.

Step 1: Determine the average height and standard deviation :

Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.

Step 2: Calculate the z-score :

We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).

Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33

Step 3: Determine the probability :

Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.

Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.

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Answer:

Answer is 80%

Step-by-step explanation:

40% is 80% of 50.

I hope it's helpful!

Answer:

80%

Step-by-step explanation:

40 /50  x 100% = 80%

Answer: (7,11)

Step-by-step explanation:

Answer:

8(x+9)=7

comment if you need anything else like solving for x

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.

Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.

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The inflection points of the given function are at x = 0 only. The answer is D.

To find the inflection points of the given function, we need to find the second derivative of the function and set it equal to zero.

y = 5x^4 - x^5

y' = 20x^3 - 5x^4

y'' = 60x^2 - 20x^3

Setting y'' = 0, we get:

60x^2 - 20x^3 = 0

20x^2(3 - x) = 0

x = 0 or x = 3

Now, we need to determine whether these values of x correspond to inflection points. To do this, we can examine the sign of the second derivative in the intervals around each value of x.

For x < 0, y'' is positive (since both terms are positive), so there is a local minimum at x = -3.

For 0 < x < 3, y'' is negative (since 60x^2 < 20x^3), so there is a point of inflection at x = 0.

For x > 3, y'' is positive (since both terms are positive), so there is a local minimum at x = 3.

Therefore, the inflection points of the given function are at x = 0 only. The answer is D.

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The optimal solution is (b) and occurs where x = 1 and y = 0

The given linear program is:

Max Z = 5x + 3y
Subject To: x - y ≤ 6, x ≤ 1

Let's analyze the possible solutions:

a) If the linear program is infeasible, it means that there is no feasible region satisfying all constraints. However, there is a feasible region in this case, so this option is incorrect.

b) If the optimal solution occurs where x = 1 and y = 0, the function value would be Z = 5(1) + 3(0) = 5, and it satisfies the constraints. So, this option is possible.

c) If the objective function value is 5, this corresponds to the result in option b, where x = 1 and y = 0.

d) If the optimal solution occurs where x = 0 and y = 1, the function value would be Z = 5(0) + 3(1) = 3. This solution also satisfies the constraints, but it does not yield the maximum value for the objective function.

Thus, the optimal solution is (b) and occurs where x = 1 and y = 0

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Answer:

Step-by-step explanation:

Answer:

x > - 3

Step-by-step explanation:

6(x + 2) > x - 3 ← distribute parenthesis on left side

6x + 12 > x - 3 ( subtract x from both sides )

5x + 12 > - 3 ( subtract 12 from both sides )

5x > - 15 ( divide both sides by 5 )

x > - 3

\(\textbf{Heya !}\)

✏\(\bigstar\textsf{Given:-}\)✏

✏\(\bigstar\textsf{To\quad find:-}\) ✏

✏\(\bigstar\textsf{Solution \quad Steps:-}\) ✏

use the distributive property

\(\sf{\longmapsto 6x+12 < x-3}\)

subtract both sides by x and 12

\(\sf{\longmapsto{5x < -15}\)

divide both sides by 5

\(\sf{\longmapsto x < -3}}\)

`hope it's helpful to u ~

Answer: x = -1 , F

Step-by-step explanation:

Hard to see your pic, but

\((-b+\sqrt{b^{2}-4ac } )/2a\\(-b-\sqrt{b^{2}-4ac } )/2a\)

\((-5-\sqrt{5^{2}-16} ) / 8 = -1\)

Your answer is: x = -1

Answer:

m<8=150

m<3=150÷3=50

Given:

\(\angle\text{L}=90^\circ\)

\(\text{KJ}=41\)

 \(\text{JL}=40\)

  \(\text{LK}=9\)

To find the cosine of angle J

By using cosine ratio,

\(\text{cos J}=\dfrac{\text{adjacent side}}{\text{hypotenuse}}\)

       \(\text{cos J}=\dfrac{\text{JL}}{\text{JK}}\)

         \(\text{cos J}=\dfrac{\text{40}}{\text{41}}\)

The ratio of cosine of angle J is 40/41.

Regression equations are used to represent the relationship between the x and y variables.

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be \(\mathbf{y =-6.407 X^2 +216.721 X -975.561}\)

When the selling price is $14.25, it means that:

\(\mathbf{x = 14.25}\)

So, we have:

\(\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}\)

Evaluate the exponents

\(\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}\)

Evaluate the products

\(\mathbf{y =-1301.0214375+3088.27425 -975.561}\)

Evaluate like terms

\(\mathbf{y =811.6918125}\)

Approximate to the nearest dollar

\(\mathbf{y =812}\)

Hence, the profit for a selling price of $14.25 is $812

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The carpet will cost $623.7 to cover the room that measures 12 feet by 17 feet.

To calculate the cost of carpeting the room that measures 12 feet by 17 feet,

we first need to convert the measurements into square yards.

We know that one yard equals 3 feet, so we can convert the 12 feet and 17 feet into yards by dividing by 3.

Thus, the room measures 4 yards by 5.67 yards.

To find the area of the room in square yards, we simply multiply the two measurements.

Therefore, the area of the room in square yards is 4 x 5.67 = 22.68 square yards.

The carpet costs $27.50 per square yard.

To find the total cost of carpeting the room, we multiply the cost per square yard by the area of the room in square yards.

Hence, the cost of the carpet will be:$27.50 x 22.68 = ${{27.50*22.68=623.7}}623.7

Therefore, the carpet will cost $623.7

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The helium gas will occupy approximately 13.09 L at 40°C and 0.956 atm.

To solve this problem, we can use the combined gas law equation, which states:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

Where:

P1 = Initial pressure

V1 = Initial volume

T1 = Initial temperature (in Kelvin)

P2 = Final pressure

V2 = Final volume (what we need to find)

T2 = Final temperature (in Kelvin)

First, let's convert the temperatures to Kelvin:

Initial temperature T1 = 23°C + 273.15 = 296.15 K

Final temperature T2 = 40°C + 273.15 = 313.15 K

Now, let's substitute the given values into the equation:

(0.956 atm * 12.4 L) / (296.15 K) = (0.956 atm * V2) / (313.15 K)

Now we can solve for V2:

(0.956 atm * 12.4 L * 313.15 K) / (0.956 atm * 296.15 K) = V2

Simplifying the equation, we find:

V2 ≈ 13.09 L

Therefore, the helium gas will occupy approximately 13.09 L at 40°C and 0.956 atm.

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Answer:

ikl;'

Step-by-step explanation:

Tthe value of f(6) is 67.

We can use integration by parts to solve this problem. Let u = f'(x) and dv = dx, then du/dx = f''(x) and v = x. Using the formula for integration by parts, we have:

∫ f'(x) dx = f(x) - ∫ f''(x) x dx

Multiplying both sides by 2 and evaluating at x = 2, we get:

2f(2) = 2f(2) - 2∫ f''(x) x dx

15 = 2f(2) - 2∫ f''(x) x dx

Substituting the given value for ∫ f'(x) dx 2, we get:

15 = 2f(2) - 2(17)

f(2) = 24

Now, we can use the differential equation f''(x) = (1/6)x - (5/3) with initial conditions f(2) = 24 and f'(2) = 17/2 to solve for f(x). Integrating both sides once with respect to x, we get:

f'(x) = (1/12)x^2 - (5/3)x + C1

Using the initial condition f'(2) = 17/2, we get:

17/2 = (1/12)(2)^2 - (5/3)(2) + C1

C1 = 73/6

Integrating both sides again with respect to x, we get:

f(x) = (1/36)x^3 - (5/6)x^2 + (73/6)x + C2

Using the initial condition f(2) = 24, we get:

24 = (1/36)(2)^3 - (5/6)(2)^2 + (73/6)(2) + C2

C2 = 5

Therefore, the solution to the differential equation with initial conditions f(2) = 24 and f'(2) = 17/2 is:

f(x) = (1/36)x^3 - (5/6)x^2 + (73/6)x + 5

Substituting x = 6, we get:

f(6) = (1/36)(6)^3 - (5/6)(6)^2 + (73/6)(6) + 5 = 67

Hence, the value of f(6) is 67.

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