1) Using the image to the right, which of the following pairs of lines are parallel? A. a||b B. c||d C. a||d D. a||c HELP PLEASE

To solve the equation in part a and determine the mystery weight, we used the following properties of equality:

Addition property: This property states that if we add the same number to both sides of an equation, the equality is preserved. In this case, we added 23 grams to both sides of the equation to isolate the variable.

Subtraction property: This property states that if we subtract the same number from both sides of an equation, the equality is preserved. In this case, we subtracted 8 grams from both sides of the equation to isolate the variable.

Multiplication property: This property states that if we multiply both sides of an equation by the same number, the equality is preserved. In this case, we multiplied both sides of the equation by 3 to isolate the variable.

Division property: This property states that if we divide both sides of an equation by the same number (excluding 0), the equality is preserved. In this case, we divided both sides of the equation by 2 to isolate the variable.

By using these properties of equality, we were able to manipulate the equation and isolate the variable to determine the mystery weight.

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The BA II Plus calculator is a financial calculator manufactured by Texas Instruments (TI). It is widely used by students, professionals, and individuals in various fields such as finance, accounting, economics, and business.

To change the number of decimal places on a BA II Plus calculator, you can follow these:

1. Turn on the calculator by pressing the "ON" button.

2. Press the "2nd" button, which is located in the top left corner of the calculator.

3. Press the "FORMAT" button, which is located above the "0" button.

4. Use the arrow keys (up and down) to scroll through the different options until you see "DEC" (decimal places) on the display.

5. Press the "ENTER" button to select the "DEC" option.

6. Enter the desired number of decimal places using the number keys.

7. Press the "ENTER" button again to confirm the new setting.

The calculator should now display the specified number of decimal places for calculations and results. Keep in mind that changing the decimal places setting may affect all subsequent calculations until it is changed again.

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Answer:

3 times 25 = 75

Step-by-step explanation:

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There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table to the right.

Here, Number of Lasagna for 120 passengers = 25

Hence, For 360 passengers number of lasagna is,

⇒ 120 / 35 = 360 / x

Where, x is umber of lasagna for 360 passengers

⇒ x = 360 × 25 / 120

⇒ x = 75

Thus, There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.

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Answer:

44

Round down to 44

Answer:

44

Step-by-step explanation:

1 is after 44, so it rounds down

Answer:

3

Step-by-step explanation:

28:21=

7(4):7(3)=

4:3

x=3

Hope this helps!

The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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Answer:

A= B= C= D= E= F=

Step-by-step explanation:

The proportion of the measurements lie in the interval is 0.9.

According to the given question.

Weigths of 10 young dogs.

W : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27

As we know that mean si calculated by the formula

Mean = ΣW / n

Thereofre, the mean of the weights of 10 young dogs

= 7 + 5 + 11 + 8 + 14 + 19 + 16 + 15 + 13 + 27/ 10

= 13.5

And, Standard deviation (s) = 6.433

Proportion that lies in mean ± 2s

Lower = Mean - 2s

⇒ 13.5 - 2(6.433) = 0. 632

Also, Upper = Mean + 2s

⇒ 13.5 + 2(6.433) = 26.376

Mean ± 2(sd) = (0.632, 26.276)

The only digit from the data which falls outside the defined range = 27

Proportion within interval = 9 / n

Proportion which falls within interval = 9/10 = 0.9

Hence, the proportion of the measurements lie in the interval is 0.9.

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The coordinates of the inflection point for the graph y = -2√x+12 are (12,0). This is option D.

The inflection point of a curve is the point where the curve changes concavity, or the curvature of the curve changes from upward to downward or vice versa. To find the inflection point of a curve, we need to find the second derivative of the function and set it equal to zero. In this case, the function is y = -2√x+12, and its second derivative is y'' = 2/(x√x). Setting y'' equal to zero and solving for x, we get x = 0. Plugging this value of x back into the original equation, we get y = 12. Therefore, the inflection point of the curve is (12,0).

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\((-a+3)(a+4)=-a^2-a+12\).

Hope this helps.

Answer:

-a²-a+12

Step-by-step explanation:

-a²+3a-4a+12

-a²-a+12

a. if the curve is increasing or remains constant between the two maxima, there will not be a relative minimum point. b. A curve to have an inflection point without having any relative extreme points.

(a) If a smooth curve has two relative maximum points, it may or may not have a relative minimum point. This is because the presence of a relative minimum point depends on the behavior of the curve between the two relative maxima. If the curve is decreasing between the two maxima, it will have a relative minimum point. However, if the curve is increasing or remains constant between the two maxima, there will not be a relative minimum point. (b) If a smooth curve has two relative extreme points, it may or may not have an inflection point. The presence of an inflection point depends on the behavior of the curve between the two relative extreme points. If the curve changes concavity between the two extremes, it will have an inflection point. However, if the curve maintains the same concavity or does not change direction, it will not have an inflection point. It is also possible for a curve to have an inflection point without having any relative extreme points.

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The probability of fishing up 3 trout and 2 sardines out of 5 random fish is approximately 0.0524, or 5.24%.

To calculate the probability of fishing up 3 trout and 2 sardines out of a total of 5 random fish, we need to consider the total number of favorable outcomes and the total number of possible outcomes.

Given:

Total number of fish in the pond = 14

Number of trout = 7

Number of bass = 4

Number of sardines = 3

We want to find the probability of selecting 3 trout and 2 sardines out of the 5 fish.

First, let's calculate the total number of ways to select 5 fish out of the 14 fish in the pond, using the combination formula:

Total number of ways to choose 5 fish = C(14, 5) = 14! / (5! * (14-5)!)

= 2002

Next, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 trout out of 7 trout and 2 sardines out of 3 sardines:

Number of favorable outcomes = C(7, 3) * C(3, 2)

= (7! / (3! * (7-3)!)) * (3! / (2! * (3-2)!))

= 35 * 3

= 105

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

= 105 / 2002

≈ 0.0524

Therefore, the probability of fishing up 3 trout and 2 sardines out of 5 random fish is approximately 0.0524, or 5.24%.

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Answer:

13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices

Step-by-step explanation:

Answer:

0.43    0.44     0. 84

 Step-by-step explanation:

Answer:

Step-by-step explanation:  

0.44     0. 84    0.87

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\\)

From the question the points are

A(-2, 3), B(5,-1)

The midpoint is

\(M = ( \frac{ - 2 + 5}{2} \: , \: \frac{3 - 1}{2} ) \\ = ( \frac{3}{2} \: , \: \frac{2}{2} )\)

We have the final answer as

\(( \frac{3}{2} \: , \: 1) \\ \)

Hope this helps you

Answer:

\(7^-^1\)

Step-by-step explanation:

So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.

The approximate area of the stop sign to the nearest square inch is 464 square inches.

To calculate the area of a regular octagon, we can divide it into smaller isosceles triangles. In this case, the stop sign has eight congruent isosceles triangles, where each triangle's base is one side of the octagon (12.4 inches) and the height is the distance from the center of the octagon to one of its sides.

To find the height, we can draw a right triangle using half of the base (12.4 inches/2 = 6.2 inches) and the distance between opposite sides (30 inches). Applying the Pythagorean theorem, we have:

height^2 + (6.2 inches)^2 = (30 inches)^2

Simplifying the equation:

height^2 = (30 inches)^2 - (6.2 inches)^2

height^2 = 900 inches^2 - 38.44 inches^2

height^2 ≈ 861.56 inches^2

height ≈ √861.56 inches ≈ 29.37 inches

Now we can calculate the area of one isosceles triangle:

Area of triangle = (1/2) * base * height

Area of triangle = (1/2) * 12.4 inches * 29.37 inches ≈ 181.91 square inches

Since the stop sign consists of eight congruent triangles, we multiply the area of one triangle by 8 to get the total area of the stop sign:

Total area of stop sign = 8 * 181.91 square inches ≈ 1455.28 square inches

Rounding the result to the nearest square inch, the approximate area of the stop sign is 464 square inches.

The approximate area of the stop sign, rounded to the nearest square inch, is 464 square inches. This calculation was based on dividing the octagon into congruent isosceles triangles and finding the area of one triangle, then multiplying it by 8 to get the total area of the stop sign.

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Answer:

56

Step-by-step explanation:

Answer:

The temperature change was -2 degrees per hour.

Step-by-step explanation:

1st hour (8pm) it dropped down to 4 degrees.

2nd hour (9pm) it dropped down to 2 degrees.

3rd hour (10pm) it dropped down to 0 degrees.

4th hour (11pm) it dropped down to -2 degrees.

5th hour (12am/midnight) it dropped down to -4 degrees

Answer:

How do you do 4+1346=? AnswerL 1350

600x787 and 675dividedby700= 472200  :D

Step-by-step explanation:

Answer:

4+1346=1350 ... 600x787=472200

675÷700=0.96

Answer:

-25/52

Step-by-step explanation:

that's what I got.

Answer:

m= \(\frac{7}{4}\)

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}\)

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!

Answer:

11.8

Step-by-step explanation:

18% of 10 so more the decimal only one time because you only have one 0 and you get 1.8. ok then 1.8 to 10 =11.8

The book cost $11.8  when the book store increases its prices by 18%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A book cost $10 at one book store which is 100% of its price.

Now, The book store increases its prices by 18%.

Therefore, The new price of the book is (100 + 18) = 118% of $10 which is,

= (118/100)×10.

= 1.18×10.

= $11.8

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To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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We are given the expression:

We, simply replace the values of solution given and then determine in which it is not a solution, but we can see that when we replace x = 0, we will get:

So, this proves that the function is not an identity.

The complex numbers -2.7e^(√7) + 4.3e^(√5) can be expressed as approximately -6.488 - 0.166i in rectangular form and approximately 6.494 ∠ -176.14° in polar form.

To express the given complex numbers in rectangular form and polar form, we need to understand the representation of complex numbers using exponential form and convert them into the desired formats. In rectangular form, a complex number is expressed as a combination of a real part and an imaginary part in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part.

In polar form, a complex number is represented as r∠θ, where 'r' is the magnitude or modulus of the complex number and θ is the angle formed with the positive real axis.

To convert the given complex numbers into rectangular form, we can use Euler's formula, which states that e^(ix) = cos(x) + isin(x), where 'i' is the imaginary unit. By substituting the given values, we can calculate the real and imaginary parts separately.

The real part can be found by multiplying the magnitude with the cosine of the angle, and the imaginary part can be obtained by multiplying the magnitude with the sine of the angle.

After performing the calculations, we find that the rectangular form of -2.7e^(√7) + 4.3e^(√5) is approximately -6.488 - 0.166i.

To express the complex numbers in polar form, we need to calculate the magnitude and the angle. The magnitude can be determined by calculating the square root of the sum of the squares of the real and imaginary parts. The angle can be found using the inverse tangent function (tan^(-1)) of the imaginary part divided by the real part.

Upon calculating the magnitude and the angle, we obtain the polar form of -2.7e^(√7) + 4.3e^(√5) as approximately 6.494 ∠ -176.14°.

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Answer:

g(x) = |4x+3|

Step-by-step explanation:

g(x) = f(x) - 2

=|4x+3|

Answer:

-1

Step-by-step explanation:

1/3(-3) cancels the common factor of 3, which leaves the answer as -1.

x=1

Step-by-step explanation:

hope I helped :) have a great day :)

Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)