What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

The sum is a binomial with a degree of 2.
The sum is a binomial with a degree of 3.
The sum is a trinomial with a degree of 2.
The sum is a trinomial with a degree of 3

i think it may be 16:36

explanation: if the 9 was multiplied by 4 which 9x4 is 36 it means that the 4 for the 4:9 will probably end up 16 hence 4x4 is 16 making the answer probably 16:36 to my own understanding

Answer:

definition of perpendicular bisector

Step-by-step explanation:

You need to show the entire problem including the given.

I assume the given info states that

Segment MP is the perpendicular bisector of segment NO.

If that's the case, then the reason for lengths NP and OP being equal is

"definition of perpendicular bisector"

Answer: C

Step-by-step explanation:

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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according to question the Laplace transform of f(t) is:

F(s) = 16/s^2 + 9/(s-1), defined for s > 1.

The Laplace transform of f(t) is defined by:

F(s) = L{f(t)} = ∫[0,∞) e^(-st) f(t) dt

Applying this definition to the given function:

F(s) = L{16t + 9e^t} = ∫[0,∞) e^(-st) (16t + 9e^t) dt

We can separate this integral into two parts and evaluate each part separately:

F(s) = ∫[0,∞) e^(-st) 16t dt + ∫[0,∞) e^(-st) 9e^t dt

To evaluate the first integral, we can use integration by parts:

u = 16t, dv/dt = e^(-st) -> du/dt = 16, v = -e^(-st)/s

∫[0,∞) e^(-st) 16t dt = [-16t e^(-st)/s] [0,∞) + ∫[0,∞) 16e^(-st)/s dt

= [16/s] ∫[0,∞) e^(-st) dt = [16/s] (1/s) = 16/s^2

To evaluate the second integral, we can use the fact that the Laplace transform of e^at is 1/(s - a):

∫[0,∞) e^(-st) 9e^t dt = 9 ∫[0,∞) e^(-(s-1)t) dt

= 9/(s-1)

Putting everything together, we have:

F(s) = 16/s^2 + 9/(s-1)

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Answer:

add up all the numbers and multiply it by 32

Step-by-step explanation:

add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32

Answer:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard  deviation is going to be smaller than the range of scores.

Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:

Range of scores=largest score-lowest score

                          =10-5

                           =5

Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10

Standard deviation which refers to the average spread of the distribution,  will now be considered to be smaller since the range of scores is low.

Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.

Hence, smaller than the range of scores.

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A. 50 dollars

B. 100 dollars

C. 50+100x

Answer:

a) 50 b) 75 c) 75x+50

Step-by-step explanation:

those are correct

Answer:

4

Step-by-step explanation:

none needed

Answer:

Option B, 187.5 cm³

Step-by-step explanation:

Volume of the triangular prism,

base area × height

= (10×7.5/2)×5

= 187.5 cm³

Answer:

1.x=4​+5y/3

​2.x=3y−9

​​

Step-by-step explanation:

a. the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12). b. the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

a. The student must pay $306.25 in interest.

To calculate the amount of interest, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12).

Plugging in these values into the formula, we can calculate the interest amount the student must pay.

b. The future value of the loan is $5306.25.

To find the future value, we add the interest amount to the principal amount.

The future value is calculated using the formula:

Future Value = Principal + Interest

By substituting the values of the principal ($5000) and the interest ($306.25), we can find the future value of the loan.

Therefore, the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

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In order to start a small​ business, a student takes out a simple interest loan for ​$ 5000 for 9 months at a rate of 8.25 ​%.

a. How much interest must the student​ pay?

b. Find the future value of the loan.

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

D or the 4th answer choice.

Step-by-step explanation:

Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.

Given that Dani has 2000 in a investment account that earns 3% per year compound monthly.

Part A).

The compound interest formula:

Compound interest can be calculated using the formula

where,

A(t) is the account value,

t is measured in years,

P is the starting amount of the account, often called the principal, or more generally present value,

r is the annual percentage rate (APR) expressed as a decimal, and

n is the number of compounding periods in one year.

Now, Part B).

initial amount = 2000

annual percentage rate = 3%

Compounding period = 12

So,

Further,

Hence, t = 18.67 is the answer for part B.

By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.

The correct answer is an option (b)

NMR spectroscopy is used to examine the structure of molecules.

Another type of additional data available from 1H NMR spectroscopy is called multiplicity.

It is useful because it reveals how many hydrogens are on the next carbon in the structure.

1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.

In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to  atoms within 3 bonds).

A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.

Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.

The correct answer is an option (b)

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

The volume of the  is right triangular prism is   600 cubic feet.

In a right triangular prism, the area of the triangular base is 50 square feet, and the height of the prism is 12 feet. To find the volume of the prism, we can use the formula:

Volume = Base Area × Height

Step 1: Identify the base area, which is given as 50 square feet.
Step 2: Identify the height of the prism, which is given as 12 feet.
Step 3: Multiply the base area by the height to find the volume.

Volume = 50 square feet × 12 feet = 600 cubic feet

So, the volume of the right triangular prism is 600 cubic feet.

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Answer:

The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate

Step-by-step explanation:

The number of cars that where reported stolen in 1999 = 2.2% = 0.022

The number of Nissan Maxima cars in the sample = 400

The number of Nissan Maxima cars that were reported stolen = 12

The level of significance, α = 0.05 level

The critical-z at 0.05 = 5% level = 1.645

The percentage of Nissan Maxima cars reported stolen, \(\hat p\) = 12/400×100  = 3%

The test statistic is given as follows;

\(z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}\)

Therefore

\(z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908\)

The test statistic = 1.0908

The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768

Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis

There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.

Answer:

Solution,

Circumference of circular tank = 44m

Radius = ?

Diameter= ?

Now,

Circumference of a circle = 44

\(or \: 2\pi \: r \: = 44\)

\(or \: 2 \times 3.14 \times r = 44\)

\(or \: 6.28r = 44\)

\(or \: r = \frac{44}{6.28} \)

\(r = 7.0 \: m\)

Again,

Diameter = 2 radius

= 2 * 7.0

= 14 m

Hope this helps..

Good luck on your assignment..

Answer:

2×3.14×r=44

6.28r=44

r=44/6.28

r=7.0

d=r

2×7.0

14

The coordinates of the point A' will be (5, 3) after Reflection and Translation.

Translation is the process of changing the position of the image point on a coordinate plane.

In the given situation, we have been given a point A(1, -3). We have to

create an image point A' by reflecting and translating it to four unit points to the right. Also, the image is reflected using the x-axis which means the coordinates will be reflected in form of (x, -y).

So, putting values of A in (x, -y) we get reflected image points : (1, 3)

Now, for translating the image four units to right we need to add 4 to the x coordinate of the point to get coordinates of A'

    => A' = (1 + 4, 3)   => A' = (5, 3)

The coordinates of A' are (5, 3)

Hence, after Reflection and Translation of A we get image A' with the coordinates A'(5, 3)

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Answer:

  3/8

Step-by-step explanation:

Answer:

638 rupees

Step-by-step explanation:

The radio cost him x.

He sold it at a 10% profit for for x + 10% of x which is the same as 1.1x

1.1x = 605

x = 605/1.1 = 550 rupees

It cost him 550 rupees.

To gain a 16% profit, he must sell it for 550 rupees + 16% of 550 rupees

That is the same as 116% of 550 rupees or 1.16 * 550 rupees

1.16 * 550 rupees = 638 rupees

Answer: 638 rupees

The 95% confidence interval interpretation is as follows:

The 95% confidence interval means that  we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).

However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.

If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.

If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.

The exact width of the interval would depend on the sample size and standard deviation used to compute it.

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