Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? A. f(x) and g(x) are not closed under addition because when added, the result will be a polynomial. B. f(x) and g(x) are not closed under addition because when added, the result will not be a polynomial. C. f(x) and g(x) are closed under addition because when added, the result will not be a polynomial. D. f(x) and g(x) are closed under addition because when added, the result will be a polynomial.

Answer:

this would cause the median price to go down by $5 as well.

Step-by-step explanation:

If every single backpack in the store is on sale, then this would cause the median price to go down by $5 as well. This is because the median price is the middle value in a data set. Therefore, if every backpack value drops by $5 then so does the backpack that has the middle value and is the median price of all the backpacks. This is the only actual effect that this sale will have to the median price of the backpacks.

The expected number of flips until the first time that your previous 2012 flips are htht is 4096. Since each flip has a 50/50 chance of being heads or tails, the probability of getting htht is 1/4096. So, the expected number of flips until the first time that your previous 2012 flips are htht is 4096.

The expected number of flips until the first time that your previous 2012 flips are htht is 4096. This is because each flip has a 50/50 chance of being heads or tails, so the probability of getting htht on the first try is 1/4096. Since the probability of getting htht on the first try is 1/4096, the expected number of flips until the first time that your previous 2012 flips are htht is 4096. To calculate this, we use the formula E(x) = n * p, where E is the expected number of flips, n is the number of flips, and p is the probability of getting htht. In this case, we would plug in n=2012 and p=1/4096, so E(x) = 2012 * (1/4096) = 4096. Therefore, the expected number of flips until the first time that your previous 2012 flips are htht is 4096.

E(x) = n * p

E(x) = 2012 * (1/4096)

E(x) = 4096

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The ratio of the angle y is 29° for the given triangle.

The Law of sines describes the relationship between a triangle's sides and angles. The law of sines in trigonometry is written as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides and A, B, and C are the triangle's respective opposite angles.

Given that In ΔXYZ, the measure of ∠Z=90°, ZY = 80, YX = 89, and XZ = 39.

The angle y will be calculated as:-

YX / sinX = XZ / sinY = ZY / sinZ

sinY = ( XZ sinZ ) / ZY

sinY = ( 39 / 80) x 1

sinY = 0.4875

Y = 29°

Therefore, for the given triangle, the angle y ratio is 29°.

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Answer:

The questions that are appropriate for the teacher to ask her population are:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

What time do you leave for school in the morning?

Step-by-step explanation:

The survey is conducted among the seventh grade students so the valid question their teacher would have asked them is:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

What time do you leave for school in the morning?

while the other two questions are invalid as it the students are young and they are not legal to vote.

also it is not necessary that they would arrive to school by car. Please mark the brainliest!

The radius of the circle whose circumference is 46mm comes out to be 7.32 mm

As we are been provided with that circumference of the circle is 46mm and we are told to find out the radius of the circle

The formula for circumference of circle = dπ where d is the diameter of the circle

Let us put the given values in the formula

           46 = d (3.14)

  46/3.14 = d

d= 14.64

The radius of the circle is half of the diameter of the circle which means r = d/2

The radius of the circle = 14.64/2 = 7.32mm

Hence, the radius of the circle whose circumference is 46mm comes out to be 7.32 mm

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Number of seats allocated to state A = 12

Number of seats allocated to state B = 18

Number of seats allocated to state C =22

Number of seats allocated to state D = 38

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Percentage of Population of state A = 258/1858 x 100 = 13.88%

Now, Number of seats allocated to state A = 13.88% of 45

                                                                       = 12.492 = 12 (whole number)

Percentage of Population of state B = 377/1858 x 100 = 20.29%

Now, Number of seats allocated to state A = 20.29% of 90

                                                                       = 18.261 = 18 (whole number)

Percentage of Population of state C = 456/1858 x 100 = 24.54%

Now, Number of seats allocated to state A = 13.88% of 90

                                                                       = 22

Number of seats allocated to state D = 90-(12+18+22) = 38

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Answer:

Step-by-step explanation:

Given number 375

Find prime factors:

Answer:

0.5

Step-by-step explanation:

A coefficient is a number that multiplies an unknown

Answer:

138 degrees

Step-by-step explanation:

A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.

I explained as best and simple as I could, I hope I helped!!!

Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

Answer: twice 31 and 13 = 75

Step-by-step explanation: 31 + 31 = 62 + 13 = 75

Answer:divideing by the whole number

Step-by-step explanation:

Answer:

The formula for the area of a circle is given by Pi * r^2, where r is the radius of the circle. If the area of the circle is 100 Pi, we can solve for the radius:

100 Pi = Pi * r^2

r^2 = 100

r = 10

The formula for the circumference of a circle is given by 2 * Pi * r. Substituting the value of r = 10, we get:

C = 2 * Pi * r = 2 * Pi * 10 = 20 * Pi

So, the circumference of the circle is 20 Pi.

Answer:

Step-by-step explanation:

This is a triangular prism

The volume is:

Answer:

Volume = ½ × b × h

Volume = ½ × 6 × 10 × 7

Volume = 3 × 10 × 7

Volume = 210 m²

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Answer:

x is given as -1.5. Substitute to confirm

One way to write 3/4 as a product of a whole number and a unit fraction is 3/4 = 1 * 3/4.

To express 3/4 as a product of a whole number and a unit fraction, we can rewrite the whole number 1 as a fraction with a denominator of 4, which gives us 1/4. We then multiply this by the unit fraction 3/4.

Multiplying 1/4 by 3/4, we get (1/4) * (3/4) = 3/16. Therefore, 3/4 can be written as a product of 1 and 3/4, or simply as 3/16.

In this case, the whole number is 1, and the unit fraction is 3/4. By multiplying the whole number and the unit fraction, we obtain the original fraction 3/4.

Hence, one way to write 3/4 as a product of a whole number and a unit fraction is 3/4 = 1 * 3/4, or 3/4 .

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Answer:

56 degrees

Step-by-step explanation:

Hope this helps and have  wonderful day!!!

Answer:  The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation:  Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

Multiplying equation (i) by 2, we have

and multiplying equation (ii) by 3, we have

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

From equation (i), we get

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Answer:Bro the answer is price per pound of apples is $1.25

and the price per pound of bannanas is $0.75

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

\(\frac{8!}{3!\times2!}\) = \(\frac{40320}{6\times2}\)

= 336 ways

The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

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Answer: B. 12

Step-by-step explanation: Expected no. = No. of trials × p

= 40 × 0.3

= 12

Answer:

B.  12

Step-by-step explanation:

Experimental probability is calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

\(\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}\)

Given information:

Substitute the given values into the formula:

\(\implies \sf 0.3=\dfrac{\textsf{Number of times Jenson picked an apple}}{40}\)

\(\implies \sf \textsf{Number of times Jenson picked an apple}=0.3 \times 40=12\)

Therefore, Jenson picked an apple 12 times during the 40 trials.

On solving the provided question we can say that the provided triangle is right angled triangle, x = \(\sqrt{3}\)

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided triangle is right angled triangle,

so,

cos 45 = B/H

1/\(\sqrt{3}\) = 1/x

x = \(\sqrt{3}\)

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13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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Answer: it will take 7 years for the lake to have no more trout, considering the fishermen's impact and the natural population oscillation.

Step-by-step explanation:

Let's analyze the problem step by step:

1. The average trout population is 20,000.

2. The population naturally oscillates above and below average by 2,000 every year. This means the population goes up by 2,000 and then goes down by 2,000, making it a net change of 0 in the population every two years.

3. Fishermen catch 3,000 fish every year.

We want to find out how long it will take for the lake to have no more trout. Since the fishermen are catching 3,000 fish per year and the natural population oscillation has a net change of 0 over a two-year period, the main factor affecting the trout population is the number of fish caught by fishermen.

Let's denote the number of years it takes for the lake to have no more trout as "x". We can represent this situation with the following equation:

20,000 - 3,000x = 0

Now we can solve for x:

3,000x = 20,000

x = 20,000 / 3,000

x ≈ 6.67

Since we cannot have a fraction of a year, we need to round up to the next whole number to ensure that there will be no more trout left in the lake.

Hello! :)

2x = -10

2x/2 = -10/2 Divide both sides by 2

-10/2 = -5 Simplify

x = -5

Hope this helped!

THEDIPER

The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

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