Classify each polynomial by its degree and number of terms 7/4x +3

Answer:

He has 8 possible choices

Step-by-step explanation:

Here, we want to know the number of choices Jill has.

He wants to buy either of the 2 pens.

In the first set , he has 4 styles to choose from

In the second set, he has also 4 styles to choose from

So his total number of possible choices would be 4 + 4 = 8 possible choices

Answer:

its 12.03

have a great dayy

Answer:

12:40

hope this will help you have a great day

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

The equation of line is found as y = 9x - 16.

For the given question;

The passing points of the line are (6, 2) and (-3, 1).

The slope of line is calculated as;

slope = m = (y₂ - y₁)/(x₂ - x₁)

Where,

(x₁, y₁) =  (6, 2)

(x₂, y₂) = (-3, 1)

Put the values;

m = (-3 - 6)/(1 - 2)

m = -9/-1

m = 9

Then, the equation of line using slope intercept form is-

y - y₁ = m (x - x₁)

Put the values;

y - 2 = 9(x - 2)

Simplifying;

y -2 = 9x - 18

y = 9x - 16

Thus, the equation of line is found as y = 9x - 16.

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The complete question is -

What is the equation of the line that passes through P( 6,2) and S (- 3,1)?

Answer:

\(g(-2)=0\\g(4)=-4\)

Step-by-step explanation:

The intervals at the right of each number indicate what values of \(x\) you can put into the function \(g(x)\), and what answers they give.

So for \(g(-2)\), we look at where \(-2\) fits in the intervals. It cannot be the top one, because it says that \(x\) has to be less than \(-2\) for that particular value.

However, on the next interval down, it says that \(-2\) is less than or equal to \(x\), therefore \(-2\) would be allowed here. Looking at the value this interval corresponds to, we see it is 0. Therefore, \(g(-2)=0\).

Looking at \(g(4)\), it definitely will not fit in the top interval, as 4 is not mentioned there at all. Looking at the next interval down, it says \(x\) has to be less than 4, so we cannot use that. However, on the final interval, it says that 4 is less than or equal to \(x\), therefore it is allowed here. Looking at which value this interval corresponds to, we see it is -4. Therefore, \(g(4)=-4\).

Hope this helps.

Answer:

When the eqn cuts the x-axis , y=0

3x=12

x=12/3

x=4

So,at x=4 is the point at which the linear equation cuts the x-axis

Answer:

collect like terms

12xy=12

xy=1

Answer:

sqrt(5) + 8

The result is irrational because the sqrt(5) is a non-repeating, non terminating decimal that cannot be written as a fraction.

Brainliest, please!

Step-by-step explanation:

sqrt(5) + 2sqrt(16)

sqrt(5) + 2(4)

sqrt(5) + 8

The sum of square root 5 and 2 square root 16 in simplest form is, √5 + 8 and it is irrational number

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

Two numbers

square root 5

2 square root 16

sum of square root 5 and 2 square root 16 in simplest form = ?

Sum  =  √5  + 2√16

         =  √5  +  2×4

         =    √5 + 8

the maximum possible simplest form is √5 + 8

As it is clear that, it is a irrational number

Because, √5 can not be written in P/Q form

Hence, the sum is √5 + 8

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Answer:

5.5

Hope it helps!

The 3rd option is correct

The given sequence is:

7, 28, 112, 448...........

From the sequence above:

The first value, a = 7

The common ratio, r = 28/7 = 112/28 = 448/112

r = 4

Since there is a common ratio of r = 4, the sequence is a geometric sequence that has the formula:

Step-by-step explanation:

yes and saved dollar cohocolate

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

20cm²

Step-by-step explanation:

hope it helps

Answer:

20cm²

Step-by-step explanation:

Area of a rectangle: length × breadth

Area of a rectangle = 10 × 2

                                = 20cm²

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

base angle of isosceles triangle are equal..

hope it helps

Answer:

Step-by-step explanation:

s(1-30/100)=420

s(100-30)/100=420

s(70/100)=420

s(7/10)=420

7s=4200

s=600

Answer:

\( {5x }^{2} + 11x - 13\)

when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).

When the period of a sine function doubles, it means that the length of one complete cycle of the sine function has doubled.

The frequency of a sine function is defined as the number of cycles per unit of time.

If the period doubles, it means that the time it takes for one cycle of the sine function has increased.

Therefore, the frequency of the sine function decreases because fewer cycles occur within a given unit of time.

Mathematically, the relationship between period (T) and frequency (f) is given by:

f = 1 / T

If the period doubles (T' = 2T), the corresponding frequency (f') can be found by substituting T' into the equation:

f' = 1 / T'

   = 1 / (2T)

   = 1/2 * (1 / T)

   = 1/2 * f

So, when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).

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The Kalman filter is a common algorithm used to filter out statistical noise on a GPS.

Statistical noise in the demand of a process is defined as the amount of demand that is purely a result of randomness and could not have been forecasted with the best forecasting method.

Kalman filter is an optimal estimator that makes predictions about the state of a linear dynamic system from a series of measurements that contain statistical noise.

The Kalman filter works by first making a prediction about the current state of the system based on the previous state and the control input. Then, it updates this prediction with the new measurement to obtain an updated estimate of the state. This process is repeated for each new measurement, resulting in a more accurate estimate of the system's state.

In the case of GPS noise, the Kalman filter can be used to reduce the effect of measurement noise on the estimated position of the vehicle. The filter uses the previous position estimate and the control input (e.g., acceleration, steering angle) to predict the current position. This prediction is then updated with the new GPS measurement to obtain an updated position estimate. By repeating this process for each new measurement, the Kalman filter can reduce the effect of GPS noise on the estimated position.

In conclusion, the Kalman filter is a commonly used algorithm for filtering out GPS noise. It works by making predictions about the state of a system based on previous measurements and control inputs and then updating these predictions with new measurements. This results in a more accurate estimate of the system's state, which can be used to reduce the effect of GPS noise on the estimated position of a vehicle.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:12

Step-by-step explanation:

The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.

From the question, we have the following;

Hypotenuse=17 foot

Height(y)=13 feet

Base(x)=(17^2-13^2)^1/2

        =120^1/2 or sqrt(120)

The ladder against the wall is a right angle triangle, so we have:

x^2+y^2=17^2

x^2+y^2=289

Top slips down at 2ft/s

dy/dt=-2 ft/s, where height (y)=13ft

The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt

Now, we take the derivative with respect to time:

=x^2+y^2=17^2

=2x(dx/dt)+2y(dy/dt)=0

Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s

2(sqrt(120))(dx/dt)+2(13)(-2)=0

2(sqrt(120))(dx/dt)-52=0

We solve for dx/dt:

dx/dt=52/(2sqrt(120))

dx/dt=52/21.9089

dx/dt=2.373 ft/s

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The probability mass function (PMF) of X can be determined by calculating the probability associated with each possible outcome of the product of two fair dice, plus three. Let's go through the process step by step.

The probability mass function of X is as follows:

P(X = 5) = 1/36

P(X = 6) = 2/36

P(X = 7) = 3/36

P(X = 8) = 4/36

P(X = 9) = 5/36

P(X = 10) = 4/36

P(X = 11) = 3/36

P(X = 12) = 2/36

P(X = 13) = 1/36

To find the probability mass function, we need to determine the probability of each possible outcome of X. The sum of two dice ranges from 2 to 12, which means the product of the two dice ranges from 1 to 36.

To calculate the probabilities, we'll consider each possible outcome:

When X = 5:

There is only one combination of dice that gives a product of 2 (1 × 2) + 3 = 5. Since there are 36 equally likely outcomes, the probability is 1/36.

When X = 6:

The combinations that yield a product of 3 (1 × 3) and 4 (2 × 2) both result in X = 6. Hence, the probability is 2/36.

When X = 7:

The combinations that yield products of 4, 5, and 6 result in X = 7. So, the probability is 3/36.

When X = 8:

The combinations that yield products of 5, 6, 7, and 8 result in X = 8. Thus, the probability is 4/36.

When X = 9:

The combinations that yield products of 6, 7, 8, and 9 result in X = 9. Hence, the probability is 5/36.

When X = 10:

The combinations that yield products of 7, 8, 9, and 10 result in X = 10. So, the probability is 4/36.

When X = 11:

The combinations that yield products of 8, 9, and 10 result in X = 11. The probability is 3/36.

When X = 12:

The combinations that yield products of 9 and 10 result in X = 12. Thus, the probability is 2/36.

When X = 13:

There is only one combination that yields a product of 10, resulting in X = 13. Hence, the probability is 1/36.

The probability mass function of X, denoting the probabilities associated with each possible outcome of X, is calculated as shown above. The PMF allows us to understand the likelihood of each value occurring and is a fundamental tool in probability theory. In this case, the PMF of X provides a clear distribution of probabilities for the product of two dice plus three.

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The value of B in the ANOVA table is 23.209.

The value of C in the ANOVA table is 1.039.

The critical point compared to the F statistic is 2.4977.

The conclusion is option b. Fail to reject the hypothesis that all brands have the same mean mileage.

1. The number of brands of tires the company compared is equal to the degrees of freedom (DF) for the Treatment source, which is given as 2 in the ANOVA table. Therefore, the company compared 2 brands of tires.

2. The value of B in the ANOVA table represents the total sum of squares (SS) for the data. From the table, it is given as 1. To find the value of B, we sum up the sum of squares for both Treatment and Error:

B = SS(Treatment) + SS(Error) = 3.458 + 19.751 = 23.209

3. The value of C in the ANOVA table represents the mean square (MS) for the Error source. It is calculated by dividing the sum of squares (SS) for Error by the degrees of freedom (DF) for Error:

C = SS(Error) / DF(Error) = 19.751 / 19 = 1.039

4. To compare the F statistic in the ANOVA table with the critical point at a significance level of 0.1, we need to find the critical F value corresponding to the degrees of freedom for Treatment (DF(Treatment)) and Error (DF(Error)). From the table, DF(Treatment) is 2 and DF(Error) is 19.

Using a statistical table or calculator, we find that the critical F value at a significance level of 0.1, with 2 degrees of freedom for Treatment and 19 degrees of freedom for Error, is approximately 2.4977 (rounded to four decimal places).

5. To determine the conclusion at a significance level of 0.05, we compare the F statistic in the ANOVA table with the critical F value. From the table, the F statistic is given as 1.6633.

At a significance level of 0.05, if the F statistic is less than the critical F value, we fail to reject the null hypothesis. If the F statistic is greater than or equal to the critical F value, we reject the null hypothesis.

In this case, since 1.6633 is less than 2.4977, the F statistic is not greater than the critical F value. Therefore, the company should fail to reject the hypothesis that all brands have the same mean mileage.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3