The scale on a map is 1 cm:60 km. How many kilometers are represented by 2.5 centimeters on the map?

120 kilometers
105 kilometers
135 kilometers
150 kilometers

Answer: 20% would be the answer

Answer:

To find the account balance after 17 years, we need to first calculate the annual interest rate. Since the interest is compounded 4 times per year, the effective annual interest rate is equal to (1 + 0.04/4)^4 - 1, which is about 4.169%.

To find the account balance after 17 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. Plugging in the values we know, we get:

A = 5360(1 + 0.04169/4)^(4*17)

A = $9,907.35

So the account balance after 17 years will be about $9,907.35.

1) (x - 2) is a factor of the polynomial.

2) x = -1 is not a zero of polynomial.

What factor and zero of the polynomial?

'a' is the polynomial's zero if x an is a factor of the polynomial p(x). In other words, if the p(x -a) is a factor of polynomial p(x), then p(a) = 0. The conclusion from all of these observations is that if you are aware of the polynomial's linear factors, you are also aware of its zeros.

1) Consider the polynomial \(f(x)=4x^3-3x^2-8x-4\)

We have to check that (x - 2) is a factor of the polynomial or not.

Since, if (x - 2) is factor of polynomial then f(2) = 0.

Plug x = 2 in the above polynomial.

\(f(2)=4(2)^3-3(2)^2-8(2)-4\\f(2)=32-12-16-4\\f(2) = 0\)

f(2) = 0

Therefore, (x - 2) is a factor of the polynomial.

2) Consider, the polynomial \(p(x) = -3x^3-2x+1\)

We have to check that -1 is a zero of polynomial or not.

If x = -1 is zero polynomial then p(-1) = 0.

Plug x = -1 in the above polynomial.

\(p(-1) = -3(-1)^3-2(-1)+1\\p(-1)=3+2+1\\p(-1) = 6\)

Here p(-1) ≠0

Hence, x = -1 is not a zero of polynomial.

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Answer:

1

Step-by-step explanation:

1 times anything equals the opisite number but in this case you are multiplying 1 by itself 999999999999 times and that equals 1

Answer:

The missing step is;

Add 8x to both sides of the inequality

Step-by-step explanation:

The step by step solution is presented as follows;

Step 1: Subtract 3 from both sides of the inequality

From the given inequality equation, we have;

5 - 8·x < 2·x + 3

Subtracting 3 from both sides of the inequality gives;

5 - 8·x - 3 < 2·x + 3 - 3

2 - 8·x < 2·x

Step 2: Subtract 8·x from both sides of the resulting inequality

2 - 8·x - 8·x < 2·x - 8·x

2 < -6·x

Step 3: Dividing both sides of the resulting inequality from above by the coefficient of x gives;

2/(-6) < -6·x/(-6)

-1/3 > x.

Answer:

D. Add 8x to both sides of the inequality

Step-by-step explanation:

i took the quiz on egd

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

The sοlutiοn οf the given prοblem οf area cοmes οut tο be the side length rises by 1, the area grοws and then shrinks by an equal factοr.

Calculating hοw much space wοuld be needed tο fully cοver the οutside will reveal its οverall size. When determining the surface οf such a trapezοidal fοrm, the surrοundings are additiοnally taken intο accοunt. The surface area οf sοmething determines its οverall dimensiοns. The number οf edges here between cubοid's fοur trapezοidal extremities determines hοw much water it can hοld inside.

Here,

Optiοn B

The area grοws initially and then decreases by an amοunt equivalent tο the side length multiplied by 1. The area grοws befοre decreasing by an equivalent amοunt.

This is the case because a square's surface and side length are inversely prοpοrtiοnal. Where r is the οriginal side length, the area grοws by a factοr οf (1 + 2r + r2) as the side length rises by 1.

When r is big, hοwever, the term r2 dοminates and the area increase is less nοticeable.

Eventually, as r gets clοser tο infinite, the area increases οnly marginally and eventually reaches a limit.

As a result, as the side length rises by 1, the area grοws and then shrinks by an equal factοr.

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Complete question:

Answer:

is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.

Step-by-step explanation:

don´t forget to brainllest!:)

Therefore, the probability that either component A or B, but not both, fails is 0.5.

To find the probability that either component A or B, but not both, fails, we can use the concept of exclusive OR (XOR).

The XOR operation evaluates to true (1) if and only if exactly one of the conditions is true. In this case, we want to calculate the probability of either A or B failing, but not both.

Let's denote the event "A fails" as A and the event "B fails" as B. The probability that both A and B fail simultaneously is given as 0.1.

Now, let's break down the possible scenarios:

A fails, B does not fail: The probability of this event is P(A) * (1 - P(B)) = 0.4 * (1 - 0.5) = 0.4 * 0.5 = 0.2.

A does not fail, B fails: The probability of this event is (1 - P(A)) * P(B) = (1 - 0.4) * 0.5 = 0.6 * 0.5 = 0.3.

Since we are interested in the XOR scenario, where either A or B fails, but not both, we need to sum up the probabilities from scenarios 1 and 2:

P(A XOR B) = P(A fails, B does not fail) + P(A does not fail, B fails)

= 0.2 + 0.3

= 0.5.

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Answer:

no

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

Answer:

option 4

Step-by-step explanation:

\(perpendicular means = slope_1 \times sope_2 = -1\\\)

                                \(-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}\)

Answer:

1/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.

If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.

Given line: slope = -2

-2 is the same as -2/1

Flip it: -1/2

Change the sign: 1/2

Answer: 1/2

Answer:

3000 and 4000

95% of all newborn babies in the United States weigh between *2500g and 4500g*

99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

It states that, for a normally distributed random variable:

In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:

3500 - 500 = 3,000 g.

3500 + 500 = 4,000 g.

Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

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Answer:

C

Step-by-step explanation:

. .....................

Answer:

I dont see the graphs

Step-by-step explanation:

But thanks for the point lol

The difference between qualitative forecasting techniques and quantitative forecasting techniques is:

Quantitative projections frequently rely on historical information, like past sales and income numbers, production and financial reports, and website visitor statistics. You may use seasonal sales data, for instance, to estimate the production and labour requirements for the upcoming year based on the monthly or quarterly results from the previous year. Additionally, statistical modelling, trend analysis, or other information from authoritative sources like governmental organisations, professional groups, and academic institutions are used in quantitative forecasting.

Techniques for qualitative forecasting are derived from the knowledge and intuition of seasoned business professionals. These forecasting methods involve data interpretation together with the expert knowledge you've gained through years of work experience, so they go beyond simple guesswork. For instance, if you require qualitative data to predict sales for the year, you may calculate the influence of a new advertising campaign or promotion your business is preparing, consider the implications of emerging technology for customer behaviour, and consider current social fads and trends.

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Answer:

When p = 20, n = 600/15 = 40

When = 40, p = 600/40 + 5 = 20

Yes, because an inverse function or an anti function is defined as a function, which can reverse into another function.

Step-by-step explanation:

The scatter plot of the data in the table is:

And there we can see that the data is similar to a line. We can say that the two values are associated by a linear correlation.

16 is the answer I did it and got it right.

Answer

x=5 y=2

Step-by-step explanation:

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:

Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.

f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:

f(x) = {x - 2, x ≥ 2

        {-x + 2, x < 2

Hope this helps! Have a great day.

Answer:

$3.00

Step-by-step explanation:

Given that a single subway token costs $2.25, and you want to buy eight tokens, you can find the price of eight tokens if you weren't to buy them from the machine, and compare this value to $15.00 (the price if you were to buy them from the machine).

Take the cost of one subway token ($2.25) and multiply this value by 8.

Input this into a calculator and you would receive:

The price of eight subway tokens if you weren't to buy them from the machine is $18.00.

Compare this value to the price if you were to buy them from the machine; $15.00.

Find the difference between these two values (elsewhere-bought - machine-bought) to see how much money you would save by buying the subway tokens from the machine.

You would save $3.00 if you bought the tokens from the machine, rather than from elsewhere.

Answer:License plate numbers in certain state consists of seven characters: The first character is digit (0 through 9) The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore; license plate number in this state can be any string - of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit How many license plate numbers are possible if no digit appears more than once?

Step-by-step explanation: i don't know rm

The average deviation of predicted DVD sales from the actual is 12.2279 million dollars. F-critical value is 4.0785>4.0785 we can reject the null hypothesis. The 95% confidence interval is (17.1536, 25.1554). The 95% prediction interval for the given value of x is (-3.8623, 46.1713).

Estimate the level of DVD sales for movies, by using the amount of annual revenue  generated by the box office gross

We randomly selected a sample of 43 movies for the same year.

Excel  α = 0.05,  r^2 = 0.5123

=51.23%

51.23% of the DVD sales variation is explained by annual revenue.

SY.X = 12.2279.

Therefore, the average deviation of predicted DVD sales from the actual is 12.2279 million dollars.

b. The hypothesis being tested is:

Null Hypothesis, H0: β1 = 0

Alternative Hypothesis, H1: β1 ≠ 0

The test statistic, F = (6439.6133/1)/((12570.025 - 6439.6133)/(42 - 1)) = 43.07

The F-critical value is 4.0785.

Since 43.07 > 4.0785, we can reject the null hypothesis.

Therefore, we can conclude that there is a linear relationship between the revenues of DVD sales and the box-office gross.

c. y = bo + b1*x

y = 4.8445 + 0.1631*x

Put x = 100

y = 4.8445 + 0.1631*100 = 21.1545

The 95% confidence interval for the given value of x is:

= y ± t*s*\(\sqrt{0.026249}\)

= 21.1545 ± 2.020*12.2279*\(\sqrt{0.026249}\)

= (17.1536, 25.1554)

d.  The 95% prediction interval for the given value of x is:

= y ± t×s×\(\sqrt{}\)1 + hin [The t-value is calculated using =TINV(0.05,42-1) in Excel]

= 21.1545 ± 2.020*12.2279*\(\sqrt{1 + 0.026249}\)

= (-3.8623, 46.1713)

Therefore, the value is (-3.8623, 46.1713).

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The expression to find the perimeter of a square with a side length of 3x units is: 4(3x) = 12x.

This means that the perimeter of the square can be found by multiplying the length of one side (3x) by 4, since a square has four equal sides.

To understand why this expression is correct, it's helpful to recall that the perimeter of any polygon is the sum of the lengths of its sides. For a square, all four sides are equal, so we can simply add the length of one side to itself three times to find the total perimeter.

In this case, the length of one side is 3x, so the perimeter is:

3x + 3x + 3x + 3x = 12x

Therefore, the expression 4(3x) = 12x correctly represents the perimeter of a square with a side length of 3x units.

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The outward flux of the field  is 64π/3.

The surface of the upper cap cut from the solid sphere x² + y² + z² ≤ 25 by the plane z = 3 is given by:

S: z = 3, x² + y² ≤ 16

To apply the divergence theorem, we need to find the divergence of the vector field F:

F = <xz, yz, 1>

div(F) = ∂/∂x (xz) + ∂/∂y (yz) + ∂/∂z (1)

= z + z

= 2z

By the divergence theorem, the outward flux of F across the surface S is equal to the triple integral of the divergence of F over the solid region R that S bounds:

∫∫S F · dS = ∭R div(F) dV

The solid region R is the portion of the sphere x² + y² + z² ≤ 25 that lies above the plane z = 3:

R: x² + y² + (z - 3)² ≤ 16

We can use cylindrical coordinates to evaluate the triple integral:

∫∫S F · dS = ∭R div(F) dV

= ∫0^2π ∫0^2 ∫3 - √(16 - r²)^(3) 2z dz dr dθ (limits of integration obtained by solving for z in the equation of R)

Therefore, the outward flux of F across the surface S is 64π/3.

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Answer:

25

Step-by-step explanation:

3x3= 9 5x3 =15 9+15 = 25

Answer:

24 cm^2

Step-by-step explanation:

there are 2 different types of triangles in this photo

2 3 by 3 cm triangles and 2 5 by 3 triangles

3x3=9

9/2=4.5 cm^2

5x3=15

15/2

7.5 cm^2

now add these

7.5+4.5

12

and now multiply by 2

12x2

24

hopes this helps