Write a polynomial function in standard form with the given zeros. x=0,4,-(1/2) .

I have two answers depending on the format. I'm not sure if the entire function is to the 2ndpower or not. Either way, it's either 256 or 4.

80 km is a measure of distance, and it is not directly equivalent to time. To determine the time it takes to travel 80 km, one needs to know the speed at which the distance is being traveled.

Speed is defined as the distance traveled per unit of time. The standard unit of speed is km/hr, meaning kilometers per hour. The formula for converting distance to time is time = distance/speed. To find the time it takes to travel 80 km at a given speed, one can simply divide 80 by the speed in km/hr.

For example, if a person is traveling at a speed of 60 km/hr, the time it would take to travel 80 km would be 80/60 = 1.33 hours. However, if the speed were increased to 100 km/hr, the time to travel 80 km would be reduced to 80/100 = 0.8 hours.

It's important to note that the time taken to travel 80 km will depend on many factors such as the type of road, weather conditions, and traffic, among others. These variables can affect the speed at which one is able to travel and thus, the time it takes to cover the distance of 80 km.

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Answer:

The answer is $86.80. The lunch service gains $86.80 in 3 1/2 hours if they get $24.80 per hour.

Step-by-step explanation:

You have to multiply how much they earn per hour, $24.80, by the number of hours they work, 3 1/2. $24.80 times 3 1/2 equals 86.80 so the lunch service earns $86.80 in 3 1/2 hours.

Hope this helps!

well a bi conditional statement is a statement that joins P and Q together with ths use of if and only if eg P if and only if Q.

I think the answer is (A) because 12:00pm is not the only noon time. 1pm is also noon so yeah that's why I think its A

a)  Marginal cost to produce 2 banana splits is 88

Marginal cost is the rate of change of cost function with respect to the number of units produced. The marginal cost function is given by the first derivative of the cost function.

Cost function C(x) = 2x² + 80x + 20. The marginal cost function is given by; C'(x) = dC/dx = 4x + 80So, C'(2) = 4(2) + 80 = 88  Marginal cost to produce 2 banana splits is 88

b) Actual cost to produce one more banana split is 4x + 162.

If x banana splits are produced, then the cost to produce (x+1) banana splits is given by the difference between the cost function at (x+1) and x.

So, actual cost to produce one more banana split is given by; C(x+1) - C(x) = 2(x+1)² + 80(x+1) + 20 - (2x² + 80x + 20)= 4x + 162. Actual cost to produce one more banana split is 4x + 162.

c)  From part (a) and (b), we can say that the marginal cost of producing 2 banana splits is less than the actual cost to produce one more banana split.

From part (a), we have; C'(2) = 88 So, the marginal cost of producing 2 banana splits is 88.From part (b), we have; Actual cost to produce one more banana split is 4x + 162. Since we are given that 2 banana splits are produced, we can substitute x = 2 and find the actual cost to produce one more banana split.

Actual cost to produce one more banana split = 4(2) + 162 = 170. From part (a) and (b), we can say that the marginal cost of producing 2 banana splits is less than the actual cost to produce one more banana split.

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The duration of shoot would be 2 hours and Either stylist would cost $282 if the shoot lasted 2 hours.

A fashion photographer needs to hire a stylist to prepare his models.

Let the number of hours stylist take = x

Jayla charges $156 for showing up, plus $63 per hour. So, this can be mathematically written as ,

156 + 63x                                                  equation 1

Sally charges $158 plus $62 per hour.  So, this can be mathematically written as ,

158 + 62x                                                  equation 2

As per the question, the expected duration of his photo shoot, either stylist would cost him the same amount. So we can equate equation 1 and equation 2. On equating equation 1 and equation 2 , we will get

156 + 63x  = 158 + 62x

⇒  x = 2

So, the duration would be 2 hours.

Jayla cost = Sally cost = 156 + 63x  = 156 + (63 × 2) = 282

Either stylist would cost $282 if the shoot lasted 2 hours.

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Answer:

0.167 is rational

2/6 is rational and the other two is irrational

:)

Step-by-step explanation:

Answer:

1/2×2×12=12 feet

Step-by-step explanation:

1/2× base area × height

Answer:

x - 1 < n < 3x + 5

Step-by-step explanation:

If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.

Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

The probability of P(26 < X < 30) is 0.48.

In this case, the given parameters are:

Mean μ = 26

Standard deviation σ = 2

So, the probability P(26 < X < 30) will be represented as:

P(26 < X < 30)

= P(z1 < z < z2)

where:

z = (X – μ) / σ

Thus, now we have:

P(26 < X < 30)

= P((26 – 26) / 2 < z < (30 – 26) / 2)

= P(0 / 2 < z < 4 / 2)

= P(0 < z < 2)

= P(z < 2) – P(z < 0)

For z-score of probabilities, we have:

P(26 < X < 30)

= P(z < 2) – P(z < 0)

= 0.97725 – 0.5

= 0.47725

= 0.48

Hence, the probability of P(26 < X < 30) is 0.48.

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Although part of your question is missing, you might be referring to this full question: Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car. Find P(26< X<30).

Answer:

C≈47.12, or 47.1

Step-by-step explanation:

To find the circumference you just use the formula C=2\(\pi\)r.

The radius of your circle is 7.5 which is half of 15, now multiply 2\(\pi\)(7.5) which gives you your answer!

An even easier way to do this is to use the other formula C=d\(\pi\),

Just multiply your diameter (which is what was given to you) by pi and you also get your answer!

Hope this helps! :)

The origin is an unstable node. In these cases, the basin of attraction is not well-defined.

The theorem for finding portions of the basin of attraction for a critical point at the origin is as follows:

Suppose we have a system of differential equations given by:

dx/dt = f(x,y)

dy/dt = g(x,y)

And a critical point at the origin, (0,0). Suppose further that the Jacobian matrix evaluated at the origin has distinct eigenvalues λ1 and λ2, with corresponding eigenvectors v1 and v2.

Then the basin of attraction for the critical point at the origin can be divided into three parts as follows:

The origin is a stable node if both eigenvalues are negative. In this case, the basin of attraction includes all initial conditions in the quadrant containing the origin that are not on the eigenvectors.

The origin is a stable spiral if both eigenvalues are complex with negative real part. In this case, the basin of attraction includes all initial conditions that spiral towards the origin, excluding those on the eigenvectors.

The origin is a saddle point if the eigenvalues have opposite signs. In this case, the basin of attraction is divided by the eigenvectors into two regions, one containing initial conditions that approach the origin and the other containing initial conditions that move away from the origin.

Note that if the eigenvalues are complex with positive real part, the origin is an unstable spiral, and if both eigenvalues are positive, the origin is an unstable node. In these cases, the basin of attraction is not well-defined.

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Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=\( \frac{175}{25} \)=7

So;

no of model A printers =x=7

no of model B printers =9-x=9-7=2

is your answer.

Answer:

y = -2x - 1

Step-by-step explanation:

pt slope formula is

y-y₁=m(x-x₁)

First put values in

y--5=m(x-2)  (you could used either point, I chose the first one out of the two)

Then find the slope

-1+5/0-2

4/-2

-2

y+5=-2(x-2)

solve

y+5=-2x+4

y=-2x-1

When the base, b, is greater than 1, the function y = a bˣ models exponential growth, while when the base, b, is between 0 and 1, the function models exponential decay

The function y = a.bˣ represents exponential growth or decay depending on the value of the base, b.

Exponential Growth:

When the base, b, is greater than 1 (b > 1), the function y = a.bˣ represents exponential growth. In this case, as x increases, the value of b^x also increases, resulting in a corresponding increase in y. The factor of b amplifies the growth, causing the function to grow at an accelerating rate.

For example, if b = 2, then y = a × 2^x represents exponential growth, where the function doubles with each unit increase in x. As x gets larger, the value of y grows at an increasing rate.

Exponential Decay:

When the base, b, is between 0 and 1 (0 < b < 1), the function y = a×bˣ represents exponential decay. In this case, as x increases, the value of bˣ decreases, resulting in a corresponding decrease in y. The factor of b causes the function to decay or decrease at a diminishing rate.

For example, if b = 0.5, then y = a × 0.5ˣ represents exponential decay, where the function halves with each unit increase in x. As x gets larger, the value of y decreases at a decreasing rate.

In summary, when the base, b, is greater than 1, the function y = a bˣ models exponential growth, while when the base, b, is between 0 and 1, the function models exponential decay.

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Answer:C

Step-by-step explanation:

keeping proportional and thats the only answer where the difference is still $2.25

Answer:

Correct choice: B

Step-by-step explanation:

Proportions

The ice cream shop sold small ice creams for $1.25 each and large ice creams for $3.75 each.

This summer the prices will be raised at the same proportion. If x is the new price for small ice creams and y is the new price for large ice creams, then it should be satisfied:

\(\frac{1.25}{x}=\frac{3.75}{y}\)

Let's test each option:

A.

\(\frac{1.25}{2.50}=0.5\)

\(\frac{3.75}{5.00}=0.75\)

B.

\(\frac{1.25}{1.50}=0.83\)

\(\frac{3.75}{4.50}=0.83\)

C.

\(\frac{1.25}{2.00}=0.625\)

\(\frac{3.75}{4.25}=0.88\)

D.

\(\frac{1.25}{1.80}=0.694\)

\(\frac{3.75}{7.20}=0.52\)

Correct choice: B

Wireshark is the tool used to capture data packets over time, either continuously or overnight.

Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.

With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.

Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.

Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.

Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.

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1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

Step-by-step explanation:

Given the diagram shows the shape of a putting green in a miniature golf course.

We will find the area of the putting green by dividing it into 3 sections as shown in the following figure:

Area (1) is the area of a rectangle with dimensions 4.5 and 8 feets

so, the area (1) = 4.5 x 8 = 36 feet²

Area (2) is the area of a square with a side length of 4.5 feet

So, the area (2) = 4.5 x 4.5 = 20.25 feet²

Area (3) is the area of the sector of a circle with a radius = 4.5 feet

The sector represents the quarter of the circle

so, Area (3) =

So, the total area is the sum of the three areas:

Rounding to the nearest square foot

So, the answer will be: Area = 72 feet²

The average rate of water usage over the interval 0 < t < 5 is approximately 446.86 gallons per hour.

To find the average rate of water usage, we need to calculate the total amount of water used over the given interval and divide it by the length of the interval. The average rate is the ratio of the total water usage to the duration.

The integral of the rate function W(t) over the interval [0, 5] gives us the total amount of water used:

∫[0,5] 16te^t dt = [16te^t - 16e^t] evaluated from t = 0 to t = 5 = (16(5e^5 - e^5) - 16e^5) - (16(0 - 1) - 16) = 16(5e^5 - 1) - 16e^5 + 16 = 80e^5 - 16e^5 + 16 = 64e^5 + 16.

The length of the interval is 5 - 0 = 5.

Dividing the total amount of water used by the interval length:

Average rate = (64e^5 + 16) / 5 ≈ 446.86 gallons per hour.

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Using the formula for the confidence interval and provided value for mean and the upper interval. The answer is 0.05.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

The alpha value is 0.025, and the associated critical value is 1.96 for a two-tailed 95% confidence interval. This indicates that we can subtract 1.96 standard deviations from the mean, or the mean, to determine the upper and lower boundaries of the confidence interval.

sample mean = 0.17

upper limit = 0.29

upper limit = sample mean + margin

margin = 0.29-0.17 = 0.12

lower limit = sample mean - margin

=0.17-0.12 = 0.05

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Answer:

The answer is A 50% of computer technicians earn more than $72,000 annually.             Step-by-step explanation:

dont have 1 i cheated

Answer:

a and c

Step-by-step explanation:

Answer:

f(x)=(x+2)(x-2)

Step-by-step explanation:

f(x) (2+2)(2-2)

f(x) 2×0=0

Using the definite integral, it is determined that the driver is 108 miles from his home at 1:00 PM.

We need to find the distance travelled by the driver between 11:00 AM and 1:00 PM.

The velocity of the driver is given by v(t) = 54t − 24t^2.

We can find the distance travelled by finding the definite integral of v(t) with respect to t, between 0 and 2 (since the driver leaves at 11:00 AM and we need to find the distance travelled by 1:00 PM, which is 2 hours later).

\(\int\limits^0_2\)v(t) dt   =    \(\int\limits^0_2\)(54t − 24t²) dt

= [27t² - 8t³] between 0 and 2

= [27(2)² - 8(2)³] - [27(0)² - 8(0)³]

= 108 - 0

= 108 miles

Therefore, the driver is 108 miles away from his home at 1:00 PM.

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