The total sales S (in thousands) of a video game are given by
S(t)=at2t2+b,
where a= 90, b= 45, and t is the number of months since the release of the game.
Find S(10) and S′(10).
Use these results to estimate the total sales after 11 months. Do NOT compute the total sales after 11 months. Round to the nearest hundredth (2 decimal places).
approximately video games after 11 months

Answer:

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

Find each area and then find their difference.

The difference is:

Answer:

To define theoretical probability is a number between 0 and 1 representing the likelihood of an event in a theoretical probability model based on sample space; if all outcomes in the sample space are equally likely, then the theoretical probability of an event is the ratio of the number of outcomes in the sample space.

To define experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.

Hope this helps.

93% in decimal form is

On the other hand,

Since 0.93 is greater than 0.875 then 93% is greater than 7/8

The  focus of the last six lines of the poem "She Walks in Beauty" by Lord Byron is on the internal beauty and goodness of the subject, while the focus of the opening lines is on her external, physical beauty.

The opening lines, the poet describes the woman's external appearance and how it is in harmony with her inner goodness. However, in the last six lines, the poet shifts the focus to the woman's character and inner qualities, describing her as having a heart that is pure, peaceful, and full of love. This shift in focus reflects the poet's deeper appreciation for the woman's true beauty beyond just her physical appearance.


In contrast, the last six lines shift the focus to the woman's inner beauty, highlighting her purity of heart and mind. This is shown in lines like "A mind at peace with all below / A heart whose love is innocent." Here, the poet appreciates not only her appearance but also her inner qualities, which make her even more beautiful.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of x is :

\( \large \boxed{ \mathfrak{Explanation}}\)

\(\huge{\mathfrak{Kaul}}\)

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b

plug in y and x into each equation and solve!

4=5m+b

8=10m+b

4=5m

m=4/5

b=0

y=4/5x+0

The length of the segment PK of the chord JK in the circle Q is equal to 22

Given that the PQ = QR, it implies that they are at equal distance from the respective chords with which they are perpendicular to so;

LM = JK

9x - 19 = 3x + 23

9x - 3x = 23 + 19 {collect like terms}

6x = 42

x = 42/6

x = 7

JK = 3(7) + 23 = 44

The segment PK = 1/2 × JK

PK = 44/2

PK = 22.

Therefore, the length of the segment PK of the chord JK in the circle Q is equal to 22

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Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

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The inequality expressions x < -2 and x < -5 are used to illustrate unequal values

Number lines are used to represent numbers at regular intervals

The expressions are given as:

x < -2 and x < -5

The above expression means that:

x is less than -2 and x is less than -5

Both statements cannot always be true.

However, x is less than -5 is true for the expressions x < -2 and x < -5

So, we represent the inequality x < -5 on the number line

See attachment for the number line

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The correct simplified expression is \(\rm 28x^3-33x^2-33x+18\).

Given

Polynomial; \(\rm (7x - 3)(4x^2 -3x - 6)\)

Multiplication is the process of calculating the product of two or more numbers. The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

Then,

The correct simplification of the expression is;

\(\rm \rm (7x - 3)\times (4x^2 -3x - 6)\\\\7x(4x^2 -3x - 6)-3(4x^2 -3x - 6)\\\\ 28x^3-21x^2-42x-12x^2+9x+18\\\\28x^3-33x^2-33x+18\)

Hence, the correct simplified expression is \(\rm 28x^3-33x^2-33x+18\).

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Answer:

3/5 or 0.6

Step-by-step explanation:

I used mathaway. An app where you can take a picture of an equation and it will answer it.

Option 3 is correct.

The formula needed for Excel to calculate the monthly payment needed to pay off a mortgage for a house that costs

189,000with a fixed APR of 3.1

=PMT(3.1/12,32*12,-189000)

This formula uses the PMT function in Excel, which stands for "Present Value of an Annuity." The PMT function calculates the monthly payment needed to pay off a loan or series of payments with a fixed annual interest rate (the "APR") and a fixed number of payments (the "term").

In this case, we are calculating the monthly payment needed to pay off a mortgage with a fixed APR of 3.1% and a term of 32 years. The formula uses the PMT function with the following arguments:

Rate: 3.1/12, which represents the annual interest rate (3.1% / 12 = 0.0254)

Term: 32*12, which represents the number of payments (32 years * 12 payments per year = 384 payments)

Payment: -189000, which represents the total amount borrowed (the principal amount)

The PMT function returns the monthly payment needed to pay off the loan, which in this case is approximately 1,052.23

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The function that has the domain (-∞, ∞) which satisfies this condition is f(x) = (x² - 36)/(x - 6)

The domain of a function is the range of input values to the function.

Given that the domain of a function f is (-∞, ∞). the value of the function what function could be f

To determine the value of the function that satisfies this condition, we look at each of the functions given in  the list.

So, the function which satisfies this condition is f(x) = (x² - 36)/(x - 6)

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Answer:

864cm squared

Step-by-step explanation:

The base is 16 x 16

The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}

It will take approximately 34.5 years for the sample of the substance to decay to 70% of its original amount.

The exponential decay model,\(A = Ae^(^k^t^)\), can be used to solve this problem. In the equation, A represents the amount of substance at a given time, A₀ is the initial amount of the substance, k is the decay constant, and t is the time in years.

Given that the half-life of the substance is 22 years, we know that after 22 years, the amount of the substance will be reduced to half of its original amount, which is 50%. We can express this as\(A = Ae^(^k ^* ^2^2^) = 0.5A\)

To find the decay constant, we can solve for k by taking the natural logarithm of both sides of the equation:

\(ln(0.5) = ln(e^(^k^ * ^2^2^))\)

ln(0.5) = k * 22 * ln(e).

ln(0.5) = k * 22.

Now we can solve for k:

k = ln(0.5) / 22.

To find the time it takes for the substance to decay to 70% of its original amount, we need to find t when A = 0.7A₀:

\(0.7A = Ae^(^k^ *^ t^)\)

Dividing both sides by A₀, we get:

\(0.7 = e^(^k^ * ^t^)\)

Taking the natural logarithm of both sides:

ln(0.7) = k * t.

Substituting the value of k we found earlier:

ln(0.7) = (ln(0.5) / 22) * t.

Now we can solve for t:

t = (22 * ln(0.7)) / ln(0.5).

t ≈ 34.5 years.

Therefore, it will take approximately 34.5 years for the sample of the substance to decay to 70% of its original amount.

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Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.

This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.

A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.

The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.

Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.

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complete question:

For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis

The future value of the growing annuity, to the nearest cent, is R 223,640.78.

In this scenario, regular annual deposits are made into a savings account for fifteen years. The first deposit is R9000, and starting from the second deposit, the amounts are increased by 5% each year. The interest rate earned on the savings account is 6.6% per annum, compounded monthly. We need to calculate the future value of this growing annuity.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Regular payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the regular payment (deposit amount) for each year is as follows:

Year 1: R9000

Year 2: R9000 * (1 + 0.05) = R9450

Year 3: R9450 * (1 + 0.05) = R9922.50

We can see that the deposit amount increases by 5% each year.

Now, let's calculate the future value of the annuity using the formula mentioned above.

P = R9000 (first deposit)

r = 0.066 / 12 (monthly interest rate)

n = 15 (number of years * 12, as the interest is compounded monthly)

FV = R9000 * [(1 + 0.066 / 12)^(15*12) - 1] / (0.066 / 12)

Calculating this expression will give us the future value of the growing annuity. Rounding it to the nearest cent, we find that the future value is approximately R 223,640.78.

In summary, the future value of the growing annuity, with regular annual deposits increasing by 5% each year and an interest rate of 6.6% per annum compounded monthly, is R 223,640.78.

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The function f(x)=ln(0.2x) is a horizontal stretch of the parent function f(x)=ln(x) by a factor of 5. This means that the graph of f(x) is narrower than the parent function by a factor of 5. The parameter that causes this transformation is 0.2, which is multiplied by x inside the natural logarithm function.

To see how this works, consider the point (1, 0) on the graph of the parent function f(x)=ln(x). When we apply the transformation f(x)=ln(0.2x), the corresponding point on the graph of f(x) is (5, 0), since 0.2(1)=0.2 and ln(0.2)= -1.609. Thus, the transformation of the parent function by a factor of 5 causes the graph of f(x) to be stretched horizontally, making it narrower than the parent function.

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Answer:

39996

Step-by-step explanation:

Trudy

(6 x 606) 2 =

3636 x 2 = 7272

Correct

 66 x 606 = 39996

The student weighs 108.8 pounds on Saturn if Modeling Real Life A person weighs 2.34 times as much on Jupiter as on Earth.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Modeling Real Life A person weighs 2.34 times as much on Jupiter as on

Earth.

An 85-pound student would weigh 90.1 pounds less on Saturn than

on Jupiter.

From the question:

= 85x2.34

The difference in weight

= 198.9 -90.1 = 108.8

Thus, the student weighs 108.8 pounds on Saturn if Modeling Real Life A person weighs 2.34 times as much on Jupiter as on Earth.

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Answer:

The answer is Yes .. Ron is correct

Step-by-step explanation:

This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.

Each side of the inner square divides the outer square into two making each side 1 unit.

The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.

The TRUE statement about the factors and divisible numbers is c. 5 is not a factor of 2,058.

A factor of a number or value is a number or algebraic expression that can divide another number or expression evenly without leaving a remainder.

a) When 3 divides 2,058, the result is 686 without a remainder.  3 can divide 2,058 and is a factor of the number.

b) 2,058 can be divided by 7, giving 294 without a remainder.  7 is a factor of 2,058.

c) When 5 divides 2,058, the result is 411 with 3 as a remainder.  Therefore, 5 is not a factor of 2,058, unlike 3 and 7.

d) When 2 divides 2,058, the result is 1,029 without a remainder.  2 is a factor of 2,058.

Thus, the true statement about the factors is Option C.

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Answer:

0.0075

Step-by-step explanation:

Here we have to find  3/4 of 1 Meter

In such questions, we have to take the product of the two numbers.

    For example, if we have to find 1/4 of 20

   Then, 1/4 of 20 = 1/2 x 20

                              = 5

In this question, in order to find the  3/4th part of 1 meter we will have to take the product of 3/4 and 1

   so,  3/4 of 1 Meter = 3/4 x 1

                                 =3/4

So,  3/4 of 1 meter will be 3/4 meter.

Answer:

Step-by-step explanation:

Lin

Distance = 2 3/4 miles

Time = 2/5 hours

= distance / time

= 2 3/4 ÷ 2/5

= 11/4 × 5/2

= 55/8

= 6 7/8

It would take Lin 6 7/8 hour to run 1 mile at a constant rate

Noah

Distance = 8 2/3 miles

Time = 4/3 hour

= distance / time

= 8 2/3 ÷ 4/3

= 26/3 × 3/4

= 26/4

= 13/2

= 6 1/2

It would take Noah 6 1/2 hour to run 1 mile at a constant rate

The polar curve r = 0² represents a single point at the origin (0,0) in the Cartesian plane. Therefore, the area and arc length of the curve are both zero.

The polar curve r = 0² represents the set of all points (r,θ) in polar coordinates such that r = 0² = 0. This means that the curve consists of a single point at the origin (0,0) in the Cartesian plane. Since a single point has no area or length, the area and arc length of the curve are both zero.To formally prove this, we can use the formulas for the area and arc length of a polar curve. The area of a polar curve is given by the formula:A = 1/2 ∫[a,b] r² dθwhere a and b are the starting and ending values of θ that correspond to the region of interest.

In this case, we want to find the area of the curve from θ = 0 to θ = 0, which corresponds to a single point at the origin. Thus, we have:A = 1/2 ∫[0,0] 0² d

θ= 0The arc length of a polar curve is given by the formula:

L = ∫[a,b] √[r² + (dr/dθ)²] dθOnce again, we want to find the arc length of the curve from

θ = 0 to

θ = 0, which corresponds to a single point at the origin. Thus, we have:

L = ∫[0,0] √[0² + (d/dθ [0²])²] d

θ= ∫[0,0] 0

dθ= 0Therefore, the area and arc length of the polar curve

r = 0² are both zero.

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Answer:

Its B I think

Step-by-step explanation:

Answer:

b

Step-by-step explanation: