Find the quotient of 436.8 and 31.2. Give your answer to the nearest tenth if necessary.

Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)

What does a coordinate mean in math?

a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).

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Answer:

B

Step-by-step explanation:

When you have an exponent to an exponent, you multiply the numbers, not add.

The maximum volume of cylinder is 39808.9

Let us consider that, radius of cylinder is r and height is h .

Volume of cylinder is,

V = πr²h

Since, the sum of its height and its circumference is 150 cm.

So,    

h + 2πr = 150

h = 150 - 2πr

Substituting value of h in volume equation of cylinder.

V = πr²(150 - 2πr)      

V = 150πr² - 2π²r³

For maximum volume, differentiate above expression with respect to r and equate with zero.

dv/dr = 300πr - 6π²r²

300πr - 6π²r² = 0

6πr(50 - πr) = 0

6πr = 0

r = 0

50 - πr = 0

r = 50/π  

So, radius of cylinder is,  50/π  

Now,  

h = 150 - 2πr

h = 150 - 2π(50/π)

h = 50

Substituting value of r and h in volume formula of cylinder.

V =  πr²h

V = 3.14(50/3.14)(50/3.14)50

V = 39808.9

Thus, the maximum volume of cylinder is 39808.9

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Answer:

(-2,0)

Step-by-step explanation:

The solution is where the two graphs intersect.

Answer:

OPtion B)

Step-by-step explanation:

Answer: Choice C)

y < (-1/5)x + 1

The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.

Answer:

A rational number is a nonterminating, nonrepeating number. this is false

The funnel takes 17.45 seconds before it overflows.

The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex.

V = 1/3(π*r²h)

where r is the radius and h is the height of the cone.

Given a funnel is getting filled with the solvent at a rate of 80ml per sec and the solvent is coming out of the funnel at a rate of 65ml per sec.

rate at which the funnel is getting filled is 80-65 = 15 ml per sec.

So, this means that the funnel is getting filled at a rate of 15ml per sec.

For the funnel to overflow it need to be filled completely.

The time before the funnel gets overflowed is = volume of funnel/ rate

A funnel is in the shape of an inverted cone.

The volume of the funnel V = 1/3(π*r²h)

V = 1/3 (3.14 * 5² * 10)

V = 1/3 (785.7)

V = 261.8ml³

Time before the funnel gets overflowed is 261.8/15

= 17.45 Sec

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Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.

To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.

First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.

Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.

Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.

To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.

As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.

Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.

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Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

The correct match for the graph of the total cost function is the option B graph.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

y = 2x is function

so, our graph should be of function y = 2x

Here, x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice.

it means x is a number like 0, 1, 2, 3

so, the graph of the total cost function is a discrete function in nature.

Hence, graph-B is correct answer.

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False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

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The probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes is 1/4.

The given data is continuous and uniformly distributed, which can be defined as follows.The minimum time that Victoria takes to solve a crossword puzzle, t1 = 4 minutes.The maximum time that Victoria takes to solve a crossword puzzle, t2 = 12 minutes.The probability density function of continuous uniform distribution is f(x) = 1/(b - a)Where, a = 4, b = 12. Therefore, f(x) = 1/8The cumulative distribution function is F(x) = x/(b - a) + a/(b - a)

The probability that Victoria takes more than 8 minutes to solve a crossword puzzle given she's already been working on it for 7 minutes can be defined as P (t > 8 | t > 7) = P(t > 8 and t > 7) / P (t > 7)Now, calculate P(t > 8 and t > 7)P(t > 8 and t > 7) = P(t > 8) as Victoria is already working on the puzzle for 7 minutes.P(t > 8) = 1 - F(8) = 1 - (8/8) + (4/8) = 1/4

Therefore, the answer is 1/4.

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Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

£1 = 99.72 rupees -> £450 = 44874 rupees.

As the post office only has 500 rupee papers, once we calculate out the result, we have to round down to the nearest whole number.

The amount of rupee papers we can change out is : 44874 : 500 = 89.748 (papers)
We round down to 89 papers.

Answer:

600,000 cm²

Step-by-step explanation:

We know the conversion from meters to centimeters to be

1 m = 100 cm.

We need the conversion factor from square meters to square centimeters.

Start with

1 m = 100 cm

Square both sides.

(1 m)² = (100 cm)²

1 m² = 10,000 cm²

Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².

60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²

Answer:

\( {4p}^{2} - 16 \)

I think I'm wrong or you're wrong.

I don't know but hope it's helpful ❤❤❤

THANK YOU.

The equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

The equation of a double napped cone is given by:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

Where A, B, C, D, E, F, G, H, J and K are constants.

A plane that is parallel to a generating line of a double napped cone will intersect the cone at a single point, forming a parabola. The equation of a parabola can be written as:

y = ax^2 + bx + c

Where a, b, and c are constants.

We can find a, b and c by substituting the equation of the plane into the equation of the double napped cone.

For example, if the equation of the plane is x + y – z = 3 then we can substitute this into the equation of the double napped cone and solve for the coefficients a, b and c.

Substituting x + y – z = 3 into the equation of the double napped cone:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

We get:

\(Ax^2 + B(x + 3)^2 + C(-x - 3)^2 + K = 0\)

Expanding, we get:

\(Ax^2 + Bx^2 + 6Bx + 9B + Cx^2 - 6Cx - 9C + K = 0\)

Grouping terms and solving for a, b and c, we get:

a = A/B

b = 6/B

c = 9/B + K/B

Therefore, the equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

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If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

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

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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The quadratic function y = -(x + 3)² - 5 is a maximum

The maximum or minimum of a function are the maximum or minimum values of the function.

Since we have the quadratic function y = -(x + 3)² - 5, this is the vertex form of a quadratic polynomial.

The vertex form y = a(x - k) + h with vertex (h, k)

So, we have the vertex of the function at (3, -5).

To determine if there is a maximum or a minimum,it will follow these conditions at the vertex

So, differentiating y twice to get d²y/dx², we have

y = -(x + 3)² - 5

dy/dx = d[-(x + 3)² - 5]/dx

=  d[-(x + 3)²]/dx - d5/dx

= -2(x + 3) - 0

= -2x - 6

differentiating again, we get d²y/dx². So,

d(dy/dx)/dx = d(-2x - 6)/dx

d²y/dx² = d(-2x)/dx - d6/dx

= -2 - 0

= -2

Since d²y/dx² = -2 < 0.  The quadratic function y = -(x + 3)² - 5 is a maximum

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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We calculate the initial amount invested by Chris, given that he invested an amount for 5 years under a compound interest rate of 12% p.a. for the first 3 years and 14% p.a. for the remaining 2 years, and his investment grew to R95000.

7.1.1: The effective interest rate is the rate at which the investment grows over a year, taking into account the compounding effect. We can calculate it using the formula:

(1 + r/n)^n - 1

Plugging in the values, we get:

(1 + 0.075/12)^12 - 1 = 0.0764 or 7.64%

Therefore, the effective interest rate is 7.64%.

7.1.2: The amount Ethan will receive at the end of 4 years can be calculated using the formula for compound interest:

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

Plugging in the values, we get:

A = 120000(1 + 0.075/12)^(12*4) = R169,840.80

Therefore, Ethan will receive R169,840.80 at the end of 4 years.

7.2:

Using the reducing balance method, the value of the computers after 3 years can be calculated using the formula:

V = P(1 - r)^t

where V is the value of the computers after t years, P is the original cost, r is the rate of depreciation per year, and t is the number of years. Plugging in the values, we get:

V = 80000(1 - 0.12)^3 = R38,912

Therefore, the value of the computers after 3 years is R38,912.

7.3:

We can set up the following equation based on the information given:

x(1 + 0.12/4)^(4*3) * (1 + 0.14/2)^(2*2) = R95000

Simplifying and solving for x, we get:

x = R50,000

Therefore, Chris invested R50,000 at the start of the investment.

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Using the trapezium area formula, we can see that the expression you supplied may be reduced to 97 cm².

Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.

Here,

a. The shapes that are present in the diagram are: rectangle and trapezium.

b. divide the shaded part using horizontal lines and vertical lines.

c. area of shaded part:

=4*2+(4+2)*3/2+(2+6)*5/2+(2+5)*2/2+(4+6)*2/2+6*3+(4+6)*5/2

=97 cm²

Using the formula for the area of a trapezium, we can see that the expression you provided can be simplified to 97 cm².

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Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

\(\huge\text{Hey there!}\)

\(\mathsf{-7b - 12 = -61}\)

\(\large\textsf{ADD 12 to BOTH SIDES}\)

\(\mathsf{-7b - 12 + 12 = -61 + 12}\)

\(\large\textsf{CANCEL out: -12 + 12 because that gives you 0}\)

\(\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}\)

\(\mathsf{-61+12=\bf -49}\)

\(\large\text{NEW EQUATION: \textsf{-7b = -49}}\)

\(\large\textsf{DIVIDE -7 to BOTH SIDES}\)

\(\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}\)

\(\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}\)

\(\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}\)

\(\mathsf{\dfrac{-49}{-7}= \bf b}\)

\(\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow\)

\(\mathsf{-49\div -7= \bf 7}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Passage B presents an argument by using logical reasoning to support its conclusion.

The first premise states, "If time is finite, then space is finite."

This premise establishes a relationship between the finiteness of time and the finiteness of space.

It suggests that if time has a definite endpoint, then space also has a definite limit.

The second premise states, "If time is infinite, then space is infinite." This premise establishes a different relationship,

implying that if time extends infinitely, then space also extends infinitely. It suggests that an infinite duration of time corresponds to an infinite expanse of space.

Based on these two premises, the conclusion follows logically: "Therefore, space is either finite or infinite."

This conclusion combines possibilities outlined in premises

and concludes that space must be either finite (if time is finite) or infinite (if time is infinite).

Passage B uses deductive reasoning to draw a conclusion from the given premises.

It presents a logical argument that explores the relationship between time and space

and concludes that space can only be either finite or infinite based on the nature of time.

Therefore, space is either finite or infinite.

Passage B presents an argument by providing reasons (premises) to support the conclusion.

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The above question is incomplete , the complete question is:

passage b either time is finite, or time is infinite. if time is finite, then space is finite. if time is infinite, then space is infinite. therefore, space is either finite or infinite.Is Passage B an argument or an explanation? explanans premise Argument conclusion Explanation explanandum in Passage B. And the claim that time is either finite or infinite, and The claim that space is either finite or infinite serves as the space corresponds to time serves as the in Passage B.

Answer:

The answer is below

Step-by-step explanation:

Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.

Given the profit function:

P=-2b² + 14b - 20

At breakeven P = 0, hence:

0 = -2b² + 14b - 20

-2b² + 14b - 20 = 0

-2b² + 10b + 4b - 20 = 0

-2b (b - 5) + 4(b - 5) = 0

(b - 5)(-2b + 4) = 0

b - 5 = 0; or -2b + 4 = 0

b = 5; or b = 2

Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000

Answer:

20 cups of Chick-Fla-A ice cream

Step-by-step explanation:

1 quart = 4 cups

5 quarts = 20 cups

lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.