Aaden has z quarters and y dimes. He has no more than 22 coins worth no less than $3.60 combined. Solve this system of inequalities graphically and determine one possible solution. Give each inequality in slope-intercept form.

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

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The length of the segment BE is 2 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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The deadweight loss of a tax depends on the responsiveness of both producers and consumers to changes in the price of the good.

A tax of $1.50 a chocolate bar will cause the price of chocolate bars to increase, resulting in a decrease in the quantity of chocolate bars bought. The demand curve for chocolate bars will shift to the left.

Consumers are going to be less willing to buy chocolate bars if the cost is higher. Producers, on the other hand, would be willing to supply less of the chocolate bars since they would be earning less profit.The burden of the tax is divided between consumers and producers.

Consumers will pay some of the tax because they will have to pay a higher price for the chocolate bar, but producers will also pay some of the tax because they will receive less money per chocolate bar sold. However, since the demand for chocolate is inelastic, consumers will bear the majority of the tax burden.

The deadweight loss is the economic inefficiency caused by the imposition of a tax. It is a loss of consumer and producer surplus that occurs when a market is not in equilibrium. A deadweight loss is incurred when taxes raise the price of a good above the equilibrium level. In other words, a deadweight loss is incurred when taxes result in a loss of consumer and producer surplus.

The deadweight loss of a tax is typically calculated as the area between the supply and demand curves from the new equilibrium price and quantity, compared to the original equilibrium price and quantity.

The magnitude of the deadweight loss depends on the elasticity of demand and supply for the good being taxed.

Therefore, the deadweight loss of a tax depends on the responsiveness of both producers and consumers to changes in the price of the good.

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Since on the left, the top number is 2 less than the bottom number and on the right side, the top number is 2 less than the bottom number, you can conclude that s = 55.

Answer: 55

Step-by-step explanation:

I let Math- way do it

Answer:

2631 divided by 24 = 109.625

Step-by-step explanation:

The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.

2631 divided by 24 in decimal = 109.625

2631 divided by 24 in fraction = 2631/24

2631 divided by 24 in percentage = 10962.5%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.

SPANISH:

El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.

2631 dividido por 24 en decimal = 109,625

2631 dividido por 24 en fracción = 2631/24

2631 dividido por 24 en porcentaje = 10962,5%

Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.

Los repetends, si los hay, se indican en ().

La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,

The cost-minimizing value of labor (L) as a function of q, w, r, a, and b is:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

To find the cost-minimizing value of labor (L) as a function of output (q), the cost of labor (w), the cost of capital (r), and the Cobb-Douglas production function parameters (a and b), we can use the concept of minimizing the cost function subject to the production function constraint.

Given the Cobb-Douglas production function: q = AL^a * K^b

The cost function is given by: C = wL + rK

To minimize the cost function, we need to find the optimal value of L that minimizes the cost while producing the desired output level (q).

We can start by rearranging the Cobb-Douglas production function to solve for K:

K = (q / (AL^a))^ (1/b)

Substitute this expression for K in the cost function:

C = wL + r * ((q / (AL^a))^ (1/b))

To minimize the cost function, we differentiate it with respect to L and set the derivative equal to zero:

dC/dL = w - (ar/q) * ((q / (AL^a))^ (1/b)) * (1/b) * (AL^a)^ (1/b - 1) * aL^(a-1)

Setting dC/dL = 0 and solving for L:

w - (ar/q) * ((q / (AL^a))^ (1/b)) * (1/b) * (AL^a)^ (1/b - 1) * aL^(a-1) = 0

Simplifying the equation:

w = (ar/q) * (AL^a)^ (1/b - 1) * aL^(a-1)

Divide both sides of the equation by w:

1 = (ar/qw) * (AL^a)^ (1/b - 1) * aL^(a-1)

Rearranging the equation:

L^(1 - a) = (qwar)^ (1/b - 1) * (A^ (1/b - 1)) * a/b

Taking the reciprocal of both sides:

L^ (a - 1) = (b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))

Taking the power of (1 / (a - 1)) on both sides:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

Therefore, the cost-minimizing value of labor (L) as a function of q, w, r, a, and b is:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

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Answer:

one solution

x=-20

Answer:

-20

Step-by-step explanation:

-6(x+7)=-4x - 2

-6x - 42 =-4x - 2

-6x +4x=-2+42

-2x=40

x=-40:2

x=-20

Answer:

I would say 75 because it looks like the little parts that aren't part of the triangle take up ab 25% of the circle so I subtracted 25 from 10 and got 75

Step-by-step explanation:

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

Hmm since it says explain how, you can simply say , Determining the volume of the block would result in me using the  method , " length x width x height. " or to add on to it you can also say, By using this method I would multiply the grams and mL together to get the volume. (Im not sure if this helps or not let me know!!)

Step-by-step explanation:

Basically volume = l x w x h , so I just put it in a sentence.

The volume of the block will be 27.2 x 10⁻⁶ cubic meters.

According to Archimedes' principle, the weight of the fluid that the body displaces is equal to the upward buoyant force that is applied to a body submerged in a fluid, whether fully or partially. Archimedes' principle is a fundamental physical law in fluid mechanics.

Given that the of the block is 85.2 grams volume of water before the block is placed in the tank is 62.3ml and the volume after the block is placed is 89.5 ml.

The volume of the block will be equal to the volume of the liquid displaced by the body.

The volume of block = 89. 5 - 62. 3

The volume of block = 27.2 ml = 27.2 x 10⁻⁶ cubic meters

Therefore, the volume of the block will be 27.2 x 10⁻⁶ cubic meters.

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\(\lim_{x\to1}{f(x)}\\\) does not exist.

Answer:

M(w)=8(1.5w)

Step-by-step explanation:

Did the test

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2\(cm^{3}\)

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2\(cm^{3}\)

Hence, Volume of rectangular prism is 295.2\(cm^{3}\)

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Answer:

50

Step-by-step explanation:

Already done this

Answer:

50

Step-by-step explanation:

i just simplified the expression

Comparing the slopes of both lines, the correct statement is: 3. Yes, the lines are perpendicular because the product of their slopes equals −1.

The formula to find the slope is:

Given that, EF has endpoints (3, 7) and (13, 17)

RT has end points (4, 9) and (8, 5).

Slope of line EF:

m = change in y / change in x = (17 - 7) / (13 - 3)

m = 10/10

Slope (m) of EF = 1

Slope of line EF:

m = change in y / change in x = (5 - 9) / (8 - 4)

m = -4/4

Slope (m) of EF = -1

-1 is the reciprocal of 1. Therefore, the correct answer is: 3. Yes, the lines are perpendicular because the product of their slopes equals −1.

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Answer:

Step-by-step explanation:

y = -x + 6

y - 8 = -(x + 4)

y - 8 = -x - 4

y = -x + 4

Answer:

a) 39

b) 4

Step-by-step explanation:

\( {7}^{2} = 7 \times 7 = 49\)

Answer: (b)-\(91^{\circ}\)

Step-by-step explanation:

Given

The measure of DE is \(91^{\circ}\)

It simply means it subtends an angle of \(91^{\circ}\) at A

or we can write

\(\angle DAE=91^{\circ}\)

\(a)\\\\x^2-2x-4=0\\\\x^2-2x=4\\\\x^2-2x+1^2=4+1^2\\\\(x-1)^2=5\\\\x-1=\pm\sqrt5\\\\\underline{x=\pm\sqrt5+1\approx-1.24\ or\ 3.24}\\\\\\b)\\\\x^2-4x-2=0\\\\x^2-4x=2\\\\x^2-4x+2^2=2+2^2\\\\(x-2)^2=6\\\\x-2=\pm\sqrt6\\\\\underline{x=\pm\sqrt6+2\approx-0.45\ or\ 4.45}\)

\(c)\\\\x^2+8x+5=0\\\\x^2+8x=-5\\\\x^2+8x+4^2=-5+4^2\\\\(x+4)^2=11\\\\ x+4=\pm\sqrt{11}\\\\\underline{x=\pm\sqrt{11}-4\approx-7.32\ or\ -0.68}\\\\\\x)\\\\x^2+22x-15=0\\\\x^2+22x=15\\\\x^2+22x+11^2=15+11^2\\\\(x+11)^2=136\\\\x+11=\pm\sqrt{136}\\\\\underline{x=\pm\sqrt{136}-11\approx-22.66\ or\ 0.66}\)

\(e)\\\\x^2-7x+10=0\\\\x^2-7x=-10\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\(x-\frac72)^2=-\frac{20}4+\frac{49}4\\\\ (x-\frac72)^2=\frac{29}4\\\\x-\frac72=\pm\sqrt{\frac{29}4}\\\\ \underline{x=\pm\frac{\sqrt{29}}2+\frac72\approx6.19\ or\ 0.81}\\\\\\f)\\\\x^2+5x-2=0\\\\x^2+5x=2\\\\x^2+5x+(\frac52)^2=2+(\frac52)^2\\\\(x+\frac52)^2=2+6.25 \\\\x+\frac52=\pm\sqrt{8.25}\\\\\underline{x=\pm\sqrt{8.25}-\frac52\approx-5.37\ or\ 0.37}\)

\(g)\\\\x^2+9x-4=0\\\\x^2+9x=4\\\\x^2+9x+(\frac92)^2=4+(\frac92)^2\\\\(x+\frac92)^2=4+20.25\\\\x+\frac92=\pm\sqrt{24.25}\\\\\underline{x=\pm\sqrt{24.25}-4.5\approx-9.42\ or\ 0.52}\)

\(h)\\\\x^2-3x-6=0\\\\x^2-3x=6\\\\x^2-3x+(\frac32)^2=6+(\frac32)^2\\\\(x-\frac32)&^2=6+2.25\\\\x-\frac32=\pm\sqrt{8.25}\\\\ \underline{x=\pm\sqrt{8.25}+1.5\approx4.37\ or-1.37}\)

The Laplace transform of the piecewise function f(t) is given by:

\(L{f(t)} = (1/s^2) - (2/s),\) 0 ≤ t < 2, and 0, t ≥ 2.

The Laplace transformation of the given piecewise function f(t) can be determined in two parts.

For 0 ≤ t < 2, we apply the linearity property of the Laplace transform to each term separately. The Laplace transform of \((t - 2) is (1/s^2) - (2/s).\)

For t ≥ 2, the function is defined as f(t) = 0. In this case, the Laplace transform of a constant multiplied by 0 is simply 0.

To summarize, the Laplace transformation of the piecewise function f(t) = (t - 2), 0 ≤ t < 2, and f(t) = 0, t ≥ 2 can be expressed as:

\(L{f(t)} = (1/s^2) - (2/s),\) 0 ≤ t < 2, and 0, t ≥ 2.

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Answer:12

Step-by-step explanation:

Answer:

92F

Step-by-step explanation:

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

= 90 - (-2)

= 90 + 2

= 92F

Answer:

m = 4

Step-by-step explanation:

Points on the graph: ( -3, -3) and ( -2, 1)

Slope:

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

m=(1+3)/(-2+3)

m=4/1

m = 4

Answer:

x/x+3

Step-by-step explanation:

first off, we start by factorizing.

we start with the numerator  taking x out making it x (x-3) / x^2 - 9

then we factorize the denominator a bit more...making it x (x-3) /  (x-3) (x+3)

as you can tell there is a (x-3) on both sides. so we can cross them out.

x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!

the boat will travel 70 kilometers in 3.5 hours when moving at a rate of 20 kilometers per hour.

To calculate the distance traveled by a boat, we can use the formula: Rate x Time = Distance.

In this case, the rate of the boat is 20 km per hour, and the time is 3.5 hours.

Using the formula, we have:

Distance = Rate x Time

Distance = 20 km/h x 3.5 hours

Calculating the result:

Distance = 70 km

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To find the linearization l(x) of the function at a=32, we need to first calculate the slope or derivative of the function at a) f'(x) = (4/5)x^(-1/5).

Now we can use the point-slope form of a line to find the linearization: l(x) = f(a) + f'(a)(x-a), Substituting the values we get: l(x) = f(32) + f'(32)(x-32)
l(x) = (32^(4/5)) + ((4/5)(32^(-1/5)))(x-32)

Therefore, the linearization of the function at a=32 is l(x) = (32^(4/5)) + ((4/5)(32^(-1/5)))(x-32).
To find the linearization L(x) of the function f(x) = x^(4/5) at a = 32, we need to find the equation of the tangent line at that point. The formula for linearization is L(x) = f(a) + f'(a)(x - a).

First, find f(a):
f(32) = (32)^(4/5) = 16, Next, find the derivative f'(x):
f'(x) = (4/5)x^(-1/5)

Now, find f'(a):
f'(32) = (4/5)(32)^(-1/5) = (4/5)(1/2) = 2/5, Finally, plug these values into the linearization formula:
L(x) = 16 + (2/5)(x - 32), So, the linearization L(x) of the function f(x) = x^(4/5) at a = 32 is L(x) = 16 + (2/5)(x - 32).

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The diameter of the sphere is 53.01 inches.

What is volume of sphere?

The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere.

Given, volume of the sphere = 4/3πr^3

Where r is the radius of the sphere.

Therefore,

( 4/3 ) πr³ = 78006 inch³

πr³ = 78006

r³ =   18622.56 inch³

r = 26.506

We know diameter = 2r

d = 53.01 inches.

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