Can someone please help me

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

58

Step-by-step explanation:

58/3 gives a remainder of 1

58/4 gives a remainder of 2

58/5 gives a remainder of 3

Answer:

10/9 +  \(\frac{1}{3} \sqrt{10}\) i

Step-by-step explanation:

(\(\frac{1}{3} \sqrt{5}\) - \(\frac{1}{2} \sqrt{2}\)i) ² =

(\(\frac{1}{3} \sqrt{5}\) )² + 2(\(\frac{1}{3} \sqrt{5}\) \(\frac{1}{2} \sqrt{2}\))i - (\(\frac{1}{3} \sqrt{5}\)i) ² =

5/9 + \(\frac{1}{3} \sqrt{5}\) \(\sqrt{2}\) i - (5/9. (-1)) =

10/9 +  \(\frac{1}{3} \sqrt{10}\) i  

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

It can be seen that the value of K is: k = -3

The generic equation of the lines is:

y-yo = m (x-xo)

m = (y2-y1) / (x2-x1)

We look for the functions:

For f (x):

m = (- 1-1) / (1-0)

m = -2

y-1 = -2 (x-0)

y = -2x + 1

For g (x):

m = (3 - (- 3)) / (1-0)

m = 6

y - (- 3) = 6 (x-0)

y = 6x-3

y = -3 (-2x + 1)

The value of k is:

k = g (x) / f (x)

k = (- 3 (-2x + 1)) / (- 2x + 1)

k = -3

Therefore, it can be seen that the value of K is: k = -3

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Answer:

Below

Step-by-step explanation:

Put '9' where  'n' is and compute

(9)^2 + 6(9) ÷ 3 =

81  +    54 ÷3  =

81  + 18 =   99

The coordinates of point X are (7/3, 2√(2)) in Quadrant I.

In coordinate geometry, a plane is divided into four regions called quadrants. These quadrants are numbered counterclockwise starting from the upper right quadrant, which is known as the first quadrant.The four quadrants are defined by the x-axis and y-axis. The x-axis is a horizontal line that runs left and right through the origin, while the y-axis is a vertical line that runs up and down through the origin.

An isosceles triangle is a type of triangle in which two sides are of equal length. In an isosceles triangle, the third side is called the base, and the two equal sides are called legs. The two angles formed by the legs and the base are also equal to each other. The angle opposite the base is called the vertex angle.

In the given question,

Since Triangle XYZ is a 45°- 45°- 90° triangle, the two legs of the triangle are congruent.

Let's call the length of each leg "x".We know that point Z is the right-angle vertex of the triangle and has coordinates (6, 2).

Since the triangle is isosceles, we can find the length of the other leg using the distance formula:x² + x² = (distance between Y and Z)²²x² = (6 - (-1))²²x² = 49x² = 24.5.

Now that we know the length of each leg, we can find the coordinates of point X. Since Triangle XYZ is a 45°- 45°- 90° triangle, we know that the hypotenuse is the square root of 2 times the length of a leg.

Let's call the coordinates of point X (x, y).x² + y² = (distance between X and Y)²x² + y² = x² + (y - 2)²y = 2√(2)Now we can find the x-coordinate of point X:x^2 + (2√(2))^2 = (distance between X and Z)^2x^2 + 8 = (6 - x)^2x^2 + 8 = 36 - 12x + x^212x = 28x = 7/3.

Therefore, the coordinates of point X are (7/3, 2√(2)) in Quadrant I.

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Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

<95141404393>

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

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

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

  $385.50

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale.

  1.5% × $25,700 = $385.50

A commission of $385.50 is made on an average car sold.

Answer:

leslie will hace 587 score and

jackson =587+31= 618

Step-by-step explanation:

1134 -31/2 = leslie

leslie + 31 = 618

Answer:

see below

Step-by-step explanation:                          6  24  10  18

Leslie  = x points

Jackson scored 38 more points than Leslie    Jackson =  x + 38 points

Together, Jackson and Leslie scored 1134       Sum of both scores

  Leslie + Jackson = 1134

      x     +   x + 38   = 1134              solve for x Leslie's number of points

            2x  + 38  =  1134

     2x  + 38 - 38 =  1134 -38

              2x  =  1096

            2x/2 =  1096 / 1

                x  =   1096 /2

                x  =     548          Leslie points

          Jackson =  Leslie's points + 38 points

                         =    548 + 38

          Jackson's points  =  586 points

Answer:

Hey there!

Left 2 units: (7,-2)

Down 1 unit: (7, -3)

Final answer: (7, -3)

Let me know if this helps :)

Answers:

Domain:  \(x \ge -5\)

Range:  \(y \ge -2\)

========================================

Explanation:

The domain is the set of all allowed x values of a function. The point on the very left shows that x = -5 is the smallest value possible. So this means the domain consists of x values such that x = -5 or x > -5. We shorten that to \(x \ge -5\)

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

The range is the set of possible y outputs. The lowest point is when y = -2 meaning that \(y \ge -2\) is the range (so y can be -2 or larger).

Rhys will have to pay £6 interest after the first year.

To calculate the interest, we can use the formula:

Interest = Principal x Rate

Where:

Principal = £200

Rate = 3% = 0.03 (in decimal form)

So, the interest Rhys will have to pay after the first year is:

Interest = £200 x 0.03 = £6

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The coordinate of C( a+c , b) ,  AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)

Coordinates is the value assigned to a point in a x-y graph to determine its location.

The coordinates of parallelogram is

A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)

The y coordinate is same as D as b

and the x coordinate will be a+c

C( a+c , b)

The coordinate of the mid point of AC are ((a+c)/2 , b/2)

The coordinate of the mid point of BD are ((a+c)/2 , b/2)

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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9514 1404 393

Answer:

  The graph of y = f(x) will shift down 11 units.

Step-by-step explanation:

The y-coordinate of a point on the graph is the distance above the x-axis. When 11 is subtracted from the y-coordinate, the distance above the x-axis is decreased by 11. That is, the point will shift down 11 units.

To multiply 3/4 by 16/9, you can multiply the numerators (top numbers) together to get the new numerator, and multiply the denominators (bottom numbers) together to get the new denominator. Then, simplify the resulting fraction if possible.

So,

(3/4) x (16/9) = (3 x 16) / (4 x 9)

= 48/36

= 4/3

Therefore, 3/4 multiplied by 16/9 is equal to 4/3.

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Step-by-step explanation:

The relation between kg and lbs is :

1 kg = 2.2046 lbs

We need to find the values of 1kg/2.2046lbs and 2.2046lbs/1kg.

So,

\(\dfrac{1\ kg}{2.2046\ lbs}=\dfrac{2.2046\ lbs}{2.2046\ lbs}\\\\=1\)

and

\(\dfrac{2.2046\ lbs}{1\ kg}=\dfrac{2.2046\ lbs}{2.2046\ lbs}\\\\=1\)

Hence, this is the required solution.

Answer:

Both are same as 1.

Step-by-step explanation:

1 kg = 2.2046 lbs

So,

\(\frac{1 kg}{2.2046 lbs }=\frac{1 kg }{1 kg} = 1\)

And

\(\frac{2.2046 lbs}{1 kg }=\frac{1 kg }{1 kg} = 1\)

Answer:

-6 or x = -6

Step-by-step explanation:

To solve -5x = 30, divide each side by -5.

-5x / -5 = x

30 / -5 = -6

x = -6

(negative times a negative = a positive)

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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expand and simplify (2x + 1)(x + 3)

answer : \(2x^2+7x+3\)

-

explanation : expand the polynomial using the FOIL method.

-

FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

-

step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : \(2x * x+2x * 3+x+3\)

step 2 : calculate the product

ex: \(2x^2+2x * 3+x+3\)

step 3 : calculate the product

ex: \(2x^2+6x+x+3\)

step 4 : collect like terms

ex: \(2x^2+7x+3\)

-

solution : \(2x^2+7x+3\)

hope this helps !

- audrey ♡

Answer:

b) -2x = 20, negative 2x is equal to 20

(Because, -2x = -20)

Step-by-step explanation:

Given equation,

→ 2x + 14 = 4x - 6

Now the value of x will be,

→ 2x + 14 = 4x - 6

→ 2x - 4x = -6 - 14

→ -2x = -20

→ x = (-20)/(-2)

→ x = 20/2

→ [ x = 10 ]

Hence, the value of x is 10.