The lines 2x+4y=32 and y=-1/2x+16 are
A. Parallel
B. Perpendicular
C. Niether

The value of dy/d in this case represents the rate of change in the monthly budget required to maintain a constant production level of CDs.

When w100 and y 120,000, dy/d can be computed by taking the partial derivative of the given equation with respect to y: dy/d = -0.64/x. Plugging in the given values, we get dy/d = -0.0064.

1. If the monthly budget is increased by $1, Snappy Hardware can manufacture 0.0064 fewer CDs per hour while maintaining the same number of workers.

2. If the number of workers is increased by 1, Snappy Hardware can manufacture an additional 0.0064 CDs per hour while maintaining the same monthly budget.

3. If Snappy Hardware wants to maintain a constant production level of CDs, they need to decrease their monthly budget by $156,250 for every 10,000 CDs they want to produce per hour.

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Answer:

2.364646461616161616

Answer:

2.364646461616161616

Step-by-step explanation:

It will take approximately 3.9 hours from noon for 90% of the population to hear the rumor, which means they will have heard it by approximately 3:00 PM.

By noon, half of the town's population, which is 3500/2 = 1750, has heard the rumor. This means that 1750 - 280 = 1470 people heard the rumor between 8AM and noon. Therefore, the number of people who have yet to hear the rumor is 3500 - 1750 = 1750.

To find out when 90% of the population will have heard the rumor, we can use the formula:

(people who have heard the rumor) / (total population) = 0.9

Solving for the number of people who need to hear the rumor, we get:

(0.9)(3500) = 3150

To find out how many people need to hear the rumor from noon onwards, we subtract the number of people who have already heard it:

3150 - 1750 = 1400

To find out how long it will take for 1400 more people to hear the rumor, we can use the ratio:

(number of people who hear the rumor per hour) / (total population) = (1400 / 1750)

Solving for the number of people who hear the rumor per hour, we get:

(number of people who hear the rumor per hour) = (1400 / 1750) * (1 / k)

where k is the number of hours it takes for 90% of the population to hear the rumor. Solving for k, we get:

k = (1400 / 1750) * (1 / (number of people who hear the rumor per hour))

Plugging in the value of 280 for the number of people who heard the rumor from 8AM to noon, we get:

\(k = (1400 / 1750) * (1 / ((1470 + 280) / 4))\)

k = 3.86

Therefore, it will take approximately 3.9 hours from noon for 90% of the population to hear the rumor, which means they will have heard it by approximately 3:00 PM.

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Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

4) All right angles are congruent.

5) Vertical angles are congruent.

6) AAS

The angle C is 75°.

To solve this problem, we can use the fact that the angles in a triangle add up to 180 degrees.

Given that B = 30°, we know one angle of the triangle. Let's find the other two angles.

Since A + B + C = 180°, and we know that B = 30°, we can substitute these values into the equation:

A + 30° + C = 180°

Now, let's solve for A + C:

A + C = 180° - 30°

A + C = 150°

Now, we need to use the given relationship between the sides and angles of the triangle.

We are given that c = √√3a, and we know that c is the side opposite angle C. We can substitute this expression into the equation:

√√3a = √√3a

Since the sides are related by this expression, we can conclude that angle C must also be related to angle A in the same way. Therefore, we can say:

C = A

Now, we can rewrite the equation A + C = 150° as:

C + C = 150°

2C = 150°

Divide both sides by 2 to solve for C:

C = 150° / 2

C = 75°

Therefore, angle C is 75°.

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Answer:

36

Step-by-step explanation:

f * √g = k

12 * √64 = k

k = ± 96

g = k² / f² = (± 96)² / 16² = 36

Answer:

g = 36

Step-by-step explanation:

Given f is inversely proportional to \(\sqrt{g}\) then the equation relating them is

f = \(\frac{k}{\sqrt{g} }\) ← k is the constant of proportion

To find k use the condition when f = 12 , g = 64 , then

12 = \(\frac{k}{\sqrt{64} }\) = \(\frac{k}{8}\) ( multiply both sides by 8 )

96 = k

f = \(\frac{96}{\sqrt{g} }\) ← equation of proportion

When f = 16 , then

16 = \(\frac{96}{\sqrt{g} }\) ( multiply both sides by \(\sqrt{g}\)

16 × \(\sqrt{g}\) = 96 ( divide both sides by 16 )

\(\sqrt{g}\) = 6 ( square both sides )

g = 6² = 36

The amount of profit the investor earns is 9340 dollars. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.

The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.

Then total cost price of the shares will be

→ 19.84 × 400 = $7936

The total selling price of the shares will be

→ 43.19 × 400 = $17,276

Then the profit is the difference between the total cost price of shares and the total selling price of the shares.

→ 17276 - 7936 = $ 9340

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Answer:

Step-by-step explanation:

-2/3x+9=4/3x-3=

x=6

Answer:

\(x=6\)

Step-by-step explanation:

We have the equation:

\(-\frac{2}{3}x+9=\frac{4}{3}x-3\)

First, we can remove the fractions by multiplying both sides by 3. Therefore:

\(3(-\frac{2}{3}x+9)=3(\frac{4}{3}x-3)\)

Distribute:

\(-2x+27=4x-9\)

Subtract 27 from both sides:

\(-2x=4x-36\)

Subtract 4x from both sides:

\(-6x=-36\)

Divide both sides by -6:

\(x=6\)

Hence, the value of x is 6.

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Answer:

Step-by-step explanation:

We know that:

We will need to find the radius to find the area of the circular track. Let's simplify the equation 2πr = 440.

Now, let's substitute the radius into πr².

Hence, the amount of sod that is needed is 15400 yards².

Answer:

a

Step-by-step explanation:

The Fourth coordinate is (4, 3) and 35 unit squared.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given:

From the graph the fourth coordinate of rectangle is

At x axis = 4

and, y- axis = 3

So, the Area of rectangle ABCD is

= lw

= 7 x 5

= 35 unit squared.

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After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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The position of the ball at t = 2 seconds is -0.8 meters.

The position of a ball rolling in a straight line is given by the equation x = 2.0 - 3.6t + 1.1t^2, where x is the position in meters and t is the time in seconds. To find the position of the ball at a specific time, we can plug in the value of t into the equation and solve for x.

For example, if we want to find the position of the ball at t = 2 seconds, we can plug in 2 for t and solve for x:

x = 2.0 - 3.6(2) + 1.1(2)^2
x = 2.0 - 7.2 + 4.4
x = -0.8

Therefore, the position of the ball at t = 2 seconds is -0.8 meters.

Similarly, we can plug in any value of t into the equation to find the position of the ball at that specific time.

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Answer:

The slope of the line is 2/3. In context of plant growth, every 3 days, the plant grows 2 inches.

Step-by-step explanation:

To find slope, you count the distance between y-values and x values. You then get a fraction of y over x.

Hope this helped and have a great day,

Ginny

The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The points on the graph are (2, 1) , (4, 2) and (7, 3.5).

Now,

Since, Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Thus, The  Slope of the line passing through the points (2, 1) and (4, 2) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (2 - 1) / (4 - 2)

⇒ m = 1 /2

Thus, The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.

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Answer:

A.factor the left side of the equation

sorry but to tell u the answer, I need to know this

is there an equal sign between 9 and 10 or it's just a minus sign?

I mean if it is a minus sign the first thing to do to solve the equation is 9-10 which gives you -1. but if there is an equal sign the first step is to subtract 10 from both sides of the equation which means your answer will be option B.

Answer:

undecided

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

To find the cost function, we integrate the marginal cost function with respect to x: ∫(dC/dx) dx = ∫(3/(16x + 3)) dx. The cost of producing 80 units is approximately $745.33.

To integrate this expression, we can use the natural logarithm function:

∫(3/(16x + 3)) dx = 3∫(1/(16x + 3)) dx = 3/16 ∫(1/(x + 3/16)) dx

Using a substitution, let u = x + 3/16, then du = dx, we have:

3/16 ∫(1/u) du = 3/16 ln|u| + C1 = 3/16 ln|x + 3/16| + C1

Now, we need to find the constant term C1 using the given information that when x = 17, C = 140:

C = 3/16 ln|17 + 3/16| + C1 = 140

Simplifying this equation, we can solve for C1:

3/16 ln(273/16) + C1 = 140

ln(273/16) + C1 = 16/3 * 140

ln(273/16) + C1 = 746.6667

C1 = 746.6667 - ln(273/16)

Therefore, the cost function C is: C = 3/16 ln|x + 3/16| + (746.6667 - ln(273/16))

To find the cost of producing 80 units, we substitute x = 80 into the cost function: C = 3/16 ln|80 + 3/16| + (746.6667 - ln(273/16))

Calculating this expression, we can find the cost:

C ≈ 3/16 ln(1280/16) + (746.6667 - ln(273/16))

C ≈ 3/16 ln(80) + (746.6667 - ln(273/16))

C ≈ 3/16 (4.3820) + (746.6667 - 2.1581)

C ≈ 0.8175 + 744.5086

C ≈ 745.3261

The cost of producing 80 units is approximately $745.33.

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Given:

The expression is,

Simpify the expression,

Answer:

Answer:

-8

Step-by-step explanation:

Solve the brackets first

4/2x+28=12

then group the like terms

2x=12-28

2x/2=-16/2

x= -8

i hope this helps

Answer:

1/2x + 7=12/4=3

1/2x = 3-7=-4

x=-4/0.5

x=-8

The width in simplest form is \(2\frac{7}{12}\).

Given data;

The width of the vegetable garden is 1/3 times the length \(7\frac{3}{4}\) .

What is the width?

The simplest form of an improper fraction,

\(7\frac{3}{4}\) ⇒ 31/4

Now multiplying the above fractions we get the width,

⇒ 1/3 * 31/4

⇒ 31/12

The simplest form is \(2\frac{7}{12}\).

Therefore, the width in simplest form is \(2\frac{7}{12}\).

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Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

Answer:

D

Step-by-step explanation:

the definition of \(\left[\begin{array}{ccc}n\\k\\\end{array}\right]\)

= \(\frac{n!}{k!(n-k)!}\)

The confidence interval .222 < p < .888 can be expressed as p - e, where p = 0.555 and e = 0.333.

In a confidence interval, the point estimate represents the best estimate of the true population parameter, and the margin of error represents the range of uncertainty around the point estimate.

To express the given confidence interval in the form p - e, we need to find the point estimate and the margin of error.

The point estimate is the midpoint of the interval, which is the average of the upper and lower bounds. In this case, the point estimate is (0.222 + 0.888) / 2 = 0.555.

To find the margin of error, we need to consider the distance between the point estimate and each bound of the interval.

Since the interval is symmetrical, the margin of error is half of the range.

Therefore, the margin of error is (0.888 - 0.222) / 2 = 0.333.

Now we can express the confidence interval .222 < p < .888 as the point estimate minus the margin of error, which is 0.555 - 0.333 = 0.222.

Therefore, the confidence interval .222 < p < .888 can be expressed as p - e, where p = 0.555 and e = 0.333.

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The volume of the triangular prism is 112 cubic meters (m³).

To find the volume of the triangular prism, we need to multiply the area of the triangular base by the height of the prism. The formula for the volume of a prism is V = base area * height.

First, let's calculate the area of the triangular base. We can use the formula for the area of a triangle, which is A = 1/2 * base * height.

The base of the triangle is given as 4m, and the height is given as 7m. Plugging these values into the formula, we get:

Base area = 1/2 * 4m * 7m = 14m²

Now, let's find the height of the prism, which is given as 8m.

Finally, we can calculate the volume using the formula:

V = base area * height = 14m² * 8m = 112m³.

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The area of the trapezoid whose image is shown in the diagram attached below is calculated as: 80.19 in.².

The area of a trapezoid is equal to half the product of the sum of its parallel sides (also called bases) and its height.

The formula for the area of a trapezoid is:

Area of trapezoid = [(base1 + base2) x height] / 2

The image of the trapezoid is shown in the diagram attached below, where:

Base 1 =

Base 2 =

Height of the trapezoid =

Area = [(16 + 8.3) x 6.6] / 2

Area = 80.19 in.²

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2