Please explain how to find m and c in
y = mx + c

Answer:

$6,232.89 or $6,232.90

Step-by-step explanation:

A=P(1+(r/n))^nt

A= 3000(1+(.075/12))^12*10

A= 3,232.89

3,232.89+3000= 6,232.89

Answer:

C (Kinda blurry)

Step-by-step explanation:

By looking at the two points you can tell the slope is 1, because it moves 2 over it moves 2 up.

If you back track to find the y value when x=0, then you have the x intercept.

So the equation is y=x+2. In this equation the values are jumbled so you just do a few transformations to make the equation look like the correct one.

subtract y on each side to get 0=x-y+2

subtract 2 from each side to get -2=x-y

now you have x-y=-2

Answer:

960 I believe.

Step-by-step explanation:

Answer:

y = -2x² + 8x + 10

Step-by-step explanation:

let's adjust the coordinates of vertex to a whole number: (2 , 17.75) to (2 , 18)

Quadratic equation: y = ax² + bx  c    or    y = a(x-h)² + K  (h,k) is the vertex

y = a (x-2)² + 18

a = (y-18) / (x-2)² = (16-18) / (1-2)² = -2    : calculate use point (1 , 16)

y = -2 (x-2)² + 18

y = -2x² +8x + 10

Answer:

Step-by-step explanation:

Given the equation px - 8 = 5x + 9, we can only find the value of p when x = 4.

To get p, we will substitute x = 4 into the expression as shown:

p(4)-8 = 5(4)+9

4p - 8 = 20+9

4p - 8 = 29

4p = 29+8

4p = 37

p = 37/4

p = 9 1/4

Hence the value of p so that x = 4 is the only solution is 9 1/4

Problem 1

The domain is \(0 \le t \le 6\) which in interval notation is [0, 6]

This is the set of t values where h(t) is positive or zero. Any other t values will make h(t) to be negative. So we ignore those t values. A negative height makes no sense.

The domain in the context of the problem means that the projectile is in the air from the time markers of t = 0 and t = 6. In short, the object is in the air for 6 seconds. It takes 6 seconds for it to hit the ground.

Here's how we can determine those t values. We plug in h(t) = 0 and solve for t.

h(t) = -16t^2 + 96t

-16t^2 + 96t = 0

-16t(t  - 6) = 0

-16t = 0 or t  - 6 = 0

t = 0/(-16) or t = 6

t = 0 or t = 6

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

Problem 2

Draw a horizontal line through -3 on the y axis.

This horizontal line touches the blue graph at the points (-2,-3) and (2,3)

This means the inputs x = -2 and x = 2 lead to the output of y = -3

Therefore f(-2) = -3 and f(2) = -3

Answer: The solutions are x = -2 and x = 2

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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The trigonometric expression that has a value of three-fourths is; tan (x)

The basic trigonometric ratios are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

sec x = 1/cos x

csc x = 1/sin x

cot x = 1/tan x

Thus;

If csc x = 5/3, it means that;

sin x = 3/5

By trigonometric ratios, we know that;

cos x = 4/5 and tan x = 3/4

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Answer:

Its C. I can't answer the answer in the brainly answers. sorry. But check on Math Papa and put the first equation, the second equation and you will have the graph below. But in conclusion its C.

Step-by-step explanation:

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

Element X take 32.6 minutes to decay to 87 grams.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Element X decays radioactively with a half life of 15 minutes.

And, there are 400 grams of Element X.

Now, By the given information, we can formulate;

⇒ \(y = x (0.5)^{t/h}\)

Substitute all the values we get;

⇒ 400 = 87 × \((0.5)^{t/15}\)

⇒ 400 / 87 =  \((0.5)^{t/15}\)

⇒ 4.6 =  \((0.5)^{t/15}\)

Take log both side,

⇒ ln 4.6 = t/15 (ln 0.5)

⇒ 1.52 = t/15 x 0.7

⇒ t = 32.6 minutes

Thus, Element X take 32.6 minutes to decay to 87 grams.

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Answer:

C spinner with 7 equal sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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The second derivative of f(x) is f"(x) = -6/x^2 + 18/x^3. the first derivative f'(x) gives us the rate of change of the function f(x) with respect to x.

To find the derivative of the function f(x) = (2x - 1) / x^3, we can use the quotient rule. Let's differentiate step by step:

f'(x) = [(2x^3)'(x) - (2x - 1)(x^3)'] / (x^3)^2

First, we differentiate the numerator:

(2x^3)' = 6x^2

Next, we differentiate the denominator:

(x^3)' = 3x^2

Plugging these values into the quotient rule formula, we have:

f'(x) = (6x^2 * x^3 - (2x - 1) * 3x^2) / x^6

= (6x^5 - 6x^3 - 3x^3) / x^6

= (6x^5 - 9x^3) / x^6

= 6x^(5-6) - 9x^(3-6)

= 6x^(-1) - 9x^(-3)

= 6/x - 9/x^3

= 6/x - 9x^(-2)

= 6/x - 9/x^2

Therefore, the derivative of f(x) is f'(x) = 6/x - 9/x^2.

To find the second derivative, we differentiate f'(x):

f"(x) = (6/x - 9/x^2)' = (6x^(-1) - 9x^(-2))'

= -6x^(-2) + 18x^(-3)

= -6/x^2 + 18/x^3

Therefore, the second derivative of f(x) is f"(x) = -6/x^2 + 18/x^3.

The first derivative f'(x) gives us the rate of change of the function f(x) with respect to x. It tells us how the function is changing at each point along the x-axis. In this case, f'(x) = 6/x - 9/x^2 represents the slope of the tangent line to the graph of f(x) at each point x.

The second derivative f"(x) gives us information about the concavity of the graph of f(x). A positive second derivative indicates a concave-up shape,

while a negative second derivative indicates a concave-down shape. In this case, f"(x) = -6/x^2 + 18/x^3 represents the rate at which the slope of the tangent line to the graph of f(x) is changing at each point x.

Understanding the derivatives of a function helps us analyze its behavior, identify critical points, determine maximum and minimum points, and study the overall shape of the function.

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Answer:

To find the height of the plane, we need to use trigonometry. Let's call the height of the plane "h". We can use the given angle of 57° and the opposite side (height) to the angle to find the adjacent side (distance traveled east) using the tangent function:

tan(57°) = h / distance traveled east

We can rearrange this equation to solve for h:

h = distance traveled east x tan(57°)

To find the distance traveled east, we need to use the given distance of 322 miles and the direction traveled. Since the plane is traveling at a 57° angle northeast, we can split this into two right triangles, one facing northeast and the other facing southeast, as shown below:

N

|

|

|\ 57°

|

\

The distance traveled east is the adjacent side of the southeast-facing right triangle, which can be found using the cosine function:

cos(57°) = distance traveled east / 322

We can rearrange this equation to solve for the distance traveled east:

distance traveled east = 322 x cos(57°)

Now we can plug in this value for the distance traveled east into the equation for the height of the plane:

h = distance traveled east x tan(57°)

h = (322 x cos(57°)) x tan(57°)

Using a calculator, we can evaluate this expression to find:

h ≈ 389.4 miles

Therefore, the height of the plane to the nearest mile is 389 miles.

Answer:

\(\sf \dfrac{\sqrt{6}+\sqrt{2}}{4}\)

Step-by-step explanation:

   75 = 45 + 30

Sin (x + y) = Sin x *Cos y + Cos x * Sin y

Sin (45 + 30) = Sin 45 * Cos 30 + Cos 45 * Sin 30

                      \(\sf =\dfrac{1}{\sqrt{2}}*\dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}* \dfrac{1}{2}\\\\\\=\dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}\\\\\\=\dfrac{\sqrt{3}*\sqrt{2}}{2*\sqrt{2}*\sqrt{2}}+\dfrac{1*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\\\=\dfrac{\sqrt{6}}{2*2}+\dfrac{\sqrt{2}}{2*2}\\\\\\=\dfrac{\sqrt{6}+\sqrt{2}}{4}\)

Approximate length of the diameter, d is 14 inches with circle circumference of approximately 44 inches. So, correct answer is option(b).

It is defined as the total length of the arc of circle. It is also known as perimeter i.e the boundary distance. Formula for it is equals to C = 2πr

We have , Circumference of circle , C = 44 inches

we have to calculate the length of its diameter , d . Let "r inches" be radius of circle with diameter length "d inches" . As we know, diameter is longest chord of circle and it's length is 2 times of radius of Circle i.e d = 2r --(*)

Now, the circumference of circle, C = 2πr

where r --> radius of circle

π---> special constant or π = 3.14

=> 44 inches = 2 πr

=> 44 = 2×3.14×r

=> 44 = 6.28 × r

=> r = 44/6.28 = 7.001 ~ 7

from equation (1) , d = 2×7 = 14 inches

Hence, the diameter of circle is 14 inches.

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To show that λâ1 is an eigenvalue of aâ1, we need to show that there exists a nonzero vector y such that aâ1y = λâ1y.
Let's use the hint and suppose that a nonzero vector x satisfies ax = λx. Then we can multiply both sides of this equation by aâ1 on the left to get:
aâ1(ax) = aâ1(λx)
x = aâ1(λx)
λâ1x = aâ1x
So if we let y = x, we have aâ1y = aâ1x = λâ1x = λâ1y. And since we started with a nonzero x, we know that y is also nonzero.
Therefore, we have shown that λâ1 is an eigenvalue of aâ1, as required.

To show that λ^(-1) is an eigenvalue of A^(-1), we will use the hint provided. Suppose a nonzero vector x satisfies Ax = λx, where λ is an eigenvalue of the invertible matrix A.

Since A is invertible, A^(-1) exists. Now, we can multiply both sides of Ax = λx by A^(-1) on the left:
A^(-1)(Ax) = A^(-1)(λx)

Using the associative property of matrix multiplication, we have:
(A^(-1)A)x = λ(A^(-1)x)

As A^(-1)A is the identity matrix I, the equation becomes:

Ix = λ(A^(-1)x)

Since Ix = x, we have:

x = λ(A^(-1)x)

Now, we want to find the eigenvalue of A^(-1). To do this, we'll divide both sides of the equation by λ:

x/λ = A^(-1)x

Since x is a nonzero vector, we can rewrite the equation as:

A^(-1)x = λ^(-1)x

Here, we see that λ^(-1) is indeed an eigenvalue of A^(-1), as it satisfies the eigenvalue equation A^(-1)x = λ^(-1)x for the nonzero vector x.

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(a) To find the elasticity of demand E(p), we need to compute the derivative of the demand function D(p) with respect to price p and then multiply by the ratio of price to demand:
E(p) = (dD(p)/dp) * (p / D(p))
First, let's find the derivative of D(p) with respect to p:
D(p) = 6000e^(-0.02p)
dD(p)/dp = -0.02 * 6000e^(-0.02p) = -120e^(-0.02p)

Now, we can compute E(p):
E(p) = (-120e^(-0.02p)) * (p / (6000e^(-0.02p)))
E(p) = -120p / 6000
E(p) = -p / 50

(b) Now, we can determine whether the demand is elastic, inelastic, or unit-elastic at the price p = 30:
E(30) = -30 / 50 = -0.6

Since the absolute value of E(p) is less than 1 (0.6 < 1), the demand is inelastic at the price p = 30. So the correct answer is:
b. -inelastic

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Answer:

Step-by-step explanation:

Answer:

What image?

Step-by-step explanation:

Thanks? :)

To apply the next law from the right in the given formula, we first identify the next logical law from the right that can be applied, which is the double negation elimination rule.

We apply this rule to the first term in the formula, (s→¬¬n), which gives us (s→n).

The next law from the right to apply would be the law of double negation again, which simplifies the first term even further by giving us (¬s∨n) instead of (¬s∨¬¬n).

We then apply the implication law to convert the implication in the formula to a disjunction, giving us (¬s∨n)∧(¬(n∨F)∨s).

Finally, we apply De Morgan's law to distribute the negation in the formula, giving us the final answer of (¬s∨n)∧((¬n∧¬F)∨s).

Step-by-step explanation:

Identify the next logical law from the right that can be applied to the given formula. In this case, it is the double negation elimination rule.

Apply the double negation elimination rule to the given formula: (s→¬¬n)∧((n∨F)→s) becomes (s→n)∧((n∨F)→s)

Continue applying relevant logical laws from the right: (s→n)∧((n∨F)→s) becomes (¬s∨n)∧((n∨F)→s)

Apply the implication law to convert the implication in the formula to a disjunction: (¬s∨n)∧((n∨F)→s) becomes (¬s∨n)∧(¬(n∨F)∨s)

Apply De Morgan's law to distribute the negation in the formula: (¬s∨n)∧(¬(n∨F)∨s) becomes (¬s∨n)∧((¬n∧¬F)∨s)

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Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

Explanation:

Think of the 3 as 3.0

The exponent -7 tells us to move the decimal point in 3.0 exactly seven spots to the left to arrive at 0.0000003

There are 6 zeros between the decimal point and the 3 in the final answer.

This very small number is read out as "3 ten millionths".

Answer:

5

Step-by-step explanation:

rs+14s

6(1/4)+14(1/4)

Answer: rs+14s=5 when r=6 and s=\(\frac{1}{4}\)

Step-by-step explanation:

Let's solve by subbing in the values

\(rs+14s\\(6)(\frac{1}{4} )+14(\frac{1}{4} )\\\frac{6}{4} +\frac{14}{4} \\\frac{20}{4}\\5\)

Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve.

What is competitive firm?

A perfectly competitive firm is a price taker, which means that it must accept the equilibrium price at which it sells goods. If a perfectly competitive firm attempts to charge even a tiny amount more than the market price, it will be unable to make any sales.

Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve. They are so unable to alter the market selling price. In order to raise its income, a perfectly competitive firm will therefore increase output rather than pricing.

A totally competitive firm is unable to arbitrarily set its output price since it must accept the price set by the product's market demand and supply. As an alternative, the perfectly competitive firm can decide to sell any amount of output for the same price. Because customers are eager to purchase any quantity of the company's output at the market price, it follows that the firm must deal with a completely elastic demand curve for its product. The quantity that the perfectly competitive firm decides to produce, combined with the prices that are in effect on the market for inputs and outputs, will determine the firm's total revenue, total costs, and eventually the level of profits.

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The circumference of the circle inscribed in a square of side 14 units is 43.96 units, on the basis of the fact that the diameter of the circle will be equal to the side of the square.

What is circumference?

Circumference is the length of a circle's boundary or the perimeter of any circular object or figure.A circle's circumference or an elliptical two-dimensional figure's perimeter are the same. Either the radius or the diameter of the circle are necessary components to calculate the circumference.

Circumference of circle=2πr       {where r=radius}

                                      =πd         {where d=diameter}

Given that the circle is inscribed in the square & it is the maximum possible circle that would fit inside the square of 14 units.

The diameter of circle= side of square that inscribes circle

                               d   = 14 units

Circumference of circle=πd

                                      =π(14)

                                      =14π      {in terms of π}

Circumference of circle=14π

                                      =14(3.14)            {taking π=3,14}

                                      =43.96 units

Circumference of circle=43.96 units

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Answer:

She will have to work at least 83 times.

Step-by-step explanation:

Divide 1,500 by 180 and then to check answer multiply 180 with 83.