The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answer:

Step-by-step explanation:

period

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Answer:

5

Step-by-step explanation:

just took the box/ test

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Answer:

n=49

Step-by-step explanation:

Answer:

The answer is D

Answer with step-by-step explanation:

Distance: 7.071068

Answer:

No solution

Step-by-step explanation:

calculate the sum) 3x-5+x+2(x+2)

distribute 2 through the parentheses) 3x-5=x+2x+4

calculate the like terms) 3x-5=3x+4

calculate equal terms on both sides of the equation) -5 = 4

-5 = 4 meaning that the statement is false!

Answer:

B?

Step-by-step explanation:

The graph y = 2x + 5 can be represented by the image attached below.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.

When x = 0, y = 5.

x = 1, y = 7 ⇒  (1, 7).

x = 5, y = 15 ⇒ (5, 15).

x = - 5, y = - 5 ⇒ (- 5, - 5).

x = - 2, y = 1 ⇒ (- 2, 1).

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This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons

Answer:

120

Step-by-step explanation:

72 x 60% = 120

Answer:

120

Step-by-step explanation:

60\72=120

Answer:

in a example of datas as bellow:

6 6 6 7 10 11 12 13 14 14 15 16 18 18 30

The best method to have the center is by using the Median.

Explanation:

Median is the value that separates the major and minor half of a sample, population or probability distribution. In simpler terms, median can be the middle value of a data set. In the data set {1, 3, 3, 6, 7, 8, 9}, for example, the median is 6. If there is an even number of observations, there is not a single middle value.

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Yes, because the more pies ordered the more money it will cost to buy them all

Step-by-step explanation:

total cost is not proportional to the number of pies.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

given  Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Let us draw a table for the number of pies and the total cost

Number of pie                           Total Cost  

1                                                 $4.50+5=$9.50

2                                                  $9+5=$14

3                                               $13.50+5=$18.50

4                                                  $18+5=$230

5                                               $22.50+5=$26.50

now Total cost/number pies = 9.50/1 is not equals to 14/2

Therefore the total cost is not proportional to the number of pieces

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B. y = 7.50x + 25

Hope it helps :)

Have a good day/night

Brainliest pls

Answer:

$25 per dog

Step-by-step explanation:

$300/12 dogs=price per dog

Answer:

25

Step-by-step explanation:

Answer:

156:25

Step-by-step explanation:

Answer:

1.5 times 104=156

2.5 times 10=25

Step-by-step explanation

Answer:

v1 positive v2 negative

Step-by-step explanation:

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Answer:

2n = -4

Step-by-step explanation:

This is because the N is unknown and in the way it's written it means 2 times something is -4

Answer:

A. y = -3x

Step-by-step explanation:

Try it. When you substitute the x and y values, you get -3 = -3x1, which is correct.

Answer:

its A

Step-by-step explanation:

Answer:

30 C

Step-by-step explanation:

How to find difference: t1 - t2

Subsitute:

18 - (-12)

Double negative signs make a positive.

18 + 12

30

Answer:

b. 0.1 difference

c. 1.04 times

d. 6th, 8th, 7th

Answer:     170,100 divided by 15=11,340

Step-by-step explanation:

Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have given that Mercury travels about 107,100 miles per hour as it revolves around the Sun.

Miles travelled in 1h = 107,100

Miles travelled in 1 sec = 107,100 /3600

= 29.75

Miles travelled in 15 seconds = 29.75 × 15

= 446.25 miles

Therefore, Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

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Answer:

500

Step-by-step explanation: