Cars A, B, and C are travelling at constant speeds.
Select the car that travels the fastest.
Choose 1 answer:
Choose 1 answer:
(Choice A)

A

(Choice B) Car B travels a distance of
�
dd kilometers in
ℎ
hh hours, based on the equation
55
ℎ
=
�
55h=d55, h, equals, d.
B
Car B travels a distance of
�
dd kilometers in
ℎ
hh hours, based on the equation
55
ℎ
=
�
55h=d55, h, equals, d.
(Choice C) Car C travels
135
135135 kilometers in
3
33 hours.
C
Car C travels
135
135135 kilometers in
3
33 hours.

Answer:

Step-by-step explanation:

You want the missing side and the angles for the right triangle with leg BC = 2.7 cm and hypotenuse AB = 3.1 cm.

The cosine of angle B is given by ...

  Cos = Adjacent/Hypotenuse

  cos(B) = CB/AB = 2.7/3.1

Then the angle is ...

  B = arccos(2.7/3.1) ≈ 29.429°

  B ≈ 29°

Angle A is the complement of angle B:

  A = 90° -29°

  A = 61°

The sine ratio is ...

  Sin = Opposite/Hypotenuse

Then side AC can be found from ...

  sin(B) = AC/AB

  AC = AB·sin(B) = 3.1·sin(29.429°) ≈ 1.523

  AC ≈ 1.5 . . . . cm

The triangle solution is ...

__

Additional comment

The mnemonic SOH CAH TOA is intended to help you remember the trig ratios above, in addition to ...

  Tan = Opposite/Adjacent

Each triangle has three similar angles and sides too

Horizontal asymptote y = 1.

Find the horizontal asymptote of the function:

Horizontal asymptotes are the lines perpendicular to the y-axis and meet the curve at infinity.

Horizontal asymptote y = 1.

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9514 1404 393

Answer:

  54w^7/v^17

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1 . . . . for any a ≠ 0

__

  \(3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}\)

The transfer function T(s) = (s² + 3s + 7)(s + 1)(s² + 5s + 4) can be represented in a block diagram as a combination of summing junctions, integrators, and transfer functions.

In the given transfer function T(s) = (s² + 3s + 7)(s + 1)(s² + 5s + 4), we have three distinct factors in the numerator and three distinct factors in the denominator. Each factor represents a specific component in the block diagram.

The first factor (s² + 3s + 7) corresponds to a second-order transfer function with natural frequency and damping factor. This can be represented by a block with two integrators in series and a summing junction.

The second factor (s + 1) represents a first-order transfer function, which can be depicted as an integrator.

The third factor (s² + 5s + 4) represents another second-order transfer function with natural frequency and damping factor.

By combining these individual components in the block diagram, we can obtain the overall representation of the transfer function.

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Answer:

here ya go, got the answer after I submitted

Answer:

N = 11

Step-by-step explanation:

\(6n - 4 = 5n + 7 \\ 6n - 5n = 7 + 4 \\ n = 11\)

Answer:

\(n = 11\)

Step-by-step explanation:

First let's write our equation

\(6n - 4 = 5n + 7\)

This due to Vertical angles

Subtract 5n from both sides

\(n - 4 = 7\)

Add four to both sides

\(n = 11\)

Would be our answer

Brainliest please

Answer: 1/8

Step-by-step explanation:

Hypotenuse = √97

One leg = 4

By Pythagoras theorem, second leg² = (√97)² - 4²

= 97 - 16 = 81

So second leg = 9

Area of triangle = 4 x 9 / 2 = 18 sq inch

One sq foot = 144 sq inch

So required fraction = 18/144 = 1/8

Answer:

1/8

Step-by-step explanation:

The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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Answer:

Step 2 is wrong.

It should be 3x – 18 + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

The largest area possible is when the length and width of the chicken pen are both 100 feet. In that case, the area of the chicken pen would be 10,000 square feet.

We are given that the farmer has 200 feet of fencing to build a rectangular chicken pen along the side of a barn. We need to find the largest possible area the chicken pen can have.

To do this, we need to find the length and width of the chicken pen such that the total amount of fencing used is 200 feet.

Since the total amount of fencing needed is 200 feet, the length and width of the chicken pen must both be 100 feet. In this case, the area of the chicken pen would be 10,000 square feet.

Therefore, the largest area possible is 10,000 square feet when the length and width of the chicken pen are both 100 feet.

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Answer:

5x^2(x^2 + 2x + 3)

Step-by-step explanation:

All the terms can be factored by 5 and x^2, so we get:

5x^2(x^2 + 2x + 3)

there are no more common terms so this is the answer

Answer:

80 degrees

Step-by-step explanation:

What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees

We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.

Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.

Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.

Answer:

The price is equal

Step-by-step explanation:

10%-10% =0

ANSWER:

Tears streamed down my cheeks. I stared at the floor, watching the tears hit the ground. Crying is different now. Crying used to have emotion. Meaning. Now it feels meaningless. I'm numb. I don't understand. I don't WANT to understand. Objects, people, love, hate, questions, answers. It's all blurred. It's something, but nothing, yet everything at once.

1.  Iron rusting influences in many ways.

2. Iron rusting involves the formation of iron oxide by an electrochemical process on the surface, where iron oxidizes and oxygen reduces to form rust.

3. Anode is iron, and the cathode is oxygen,

4.  The half-reactions involved in iron rusting are:

- Anodic response: Fe(s) →\(Fe^2+ (aq) + 2e^-\)

- Cathodic reaction: \(O2(g) + 2H2O(l) + 4e^-\)→ \(4OH^- (aq)\)

5. The balanced chemical equation for iron rusting is:

\(- 4Fe(s) + 3O2(g) + 6H2O(l)\) → \(4Fe(OH)3(s)\)

\(- 4Fe(OH)3(s)\) → \(2Fe2O3.H2O(s) + 4H2O(l)\)

6. The corrosion of iron takes place because iron is a reactive metal, water, etc.

7.  Two techniques that might be used to prevent the sort of corrosion I have selected are:- Protective coatings, Cathodic safety.

8. One environmental circumstance that affects the fee and extent of iron rusting is: Acid rain

1. Iron rusting influences my existence in lots of methods. Some of the effects are:

2. The precise electrochemical process worried in iron rusting is as follows:

3. The electrodes and electrolyte worried in iron rusting are:

4. The half-reactions involved in iron rusting are:

- Anodic response: Fe(s) →\(Fe^2+ (aq) + 2e^-\)

- Cathodic reaction: \(O2(g) + 2H2O(l) + 4e^-\)→ \(4OH^- (aq)\)

5. The balanced chemical equation for iron rusting is:

\(- 4Fe(s) + 3O2(g) + 6H2O(l)\) → \(4Fe(OH)3(s)\)

\(- 4Fe(OH)3(s)\) → \(2Fe2O3.H2O(s) + 4H2O(l)\)

6. Rate of corrosion:

a. The corrosion of iron takes place because iron is a reactive metal that tends to lose electrons and form positive ions in aqueous solutions. Iron additionally has a high affinity for oxygen and paperwork stable oxides that adhere to its floor.

The presence of water or moisture facilitates the transport of electrons and ions between the anode and the cathode, as a consequence accelerating the corrosion procedure.

B. The time it took for the object (your example) to corrode depends on many elements, such as the sort, size, form, and composition of the item, the environmental situations (temperature, humidity, acidity, salinity, etc.), and the presence or absence of protective coatings or inhibitors. Therefore, it's miles difficult to estimate a genuine time for corrosion without knowing that information.

7. Two techniques that might be used to prevent the sort of corrosion I have selected are:

8. One environmental circumstance that affects the fee and extent of iron rusting is:

- Acid rain: Acid rain is rainwater that contains acidic pollutants together with sulfur dioxide and nitrogen oxides from commercial emissions or volcanic eruptions. Acid rain lowers the pH of the electrolyte (water or moisture) and increases its conductivity.

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Answer:

5x+120

Step-by-step explanation:

5(x) + 5(24)

5x+120

Answer:

4m−3(2m + 1)

= 4m - 3*2m - 3*1

= 4m - 6m - 3

= -2m - 3

Hope this helps!

:)

Answer:

-2m - 3

Step-by-step explanation:

Remember to follow PEMDAS. First, distribute -3 to all terms within the parenthesis:

-3(2m + 1) = (-3 * 2m) + (-3 * 1) = -6m + (-3)

4m - 6m - 3

Simplify. Combine like terms:

(4m - 6m) - 3

(-2m) - 3

-2m - 3 is your answer.

~

Answer:

The value of \(x\) is \(19\).

Angle R's measure is \(43^{\circ}\).

Angle S' measure is \(20^{\circ}\).

Angle T's measure is \(117^{\circ}\).

Step-by-step explanation:

Step 1: Construct expressions for the angles in terms of x

The angle R is said to be five more than twice x, which means that 5 is added to 2x:

\(\text{R}=5+2x\)

The angle S is said to be one more than x, which means that 1 is added to x:

\(\text{S}=1+x\)

The angle T is said to be sixteen less than seven times x, which means that 16 is subtracted from 7x:

\(\text{T}=7x-16\)

Step 2: Create an equation with all the expressions

Since there are three angles in the shape, it is clearly a triangle.

The sum of angles of a triangle is \(180^{\circ}\).

Which means that the sum of the expressions above, would equal to \(180\):

\((5+2x)+(1+x)+(7x-16)=180\)

Step 3: Solve the equation

The equation is:

\((5+2x)+(1+x)+(7x-16)=180\)

Upon solving it, we get:

\((5+2x)+(1+x)+(7x-16)=180\\\\\text{Remove the brackets:}\\5+2x+1+x+7x-16=180\\\\\text{Add the like terms:}\\10x-10=180\\\\\text{Add 10 on both sides of the equation:}\\10x-10+10=180+10\\\\\text{Simplify:}\\10x=190\\\\\text{Divide by 10 on both sides of the equation:}\\\frac{10x}{10}=\frac{190}{10}\\\\\text{Simplify:}\\x=19\)

Step 4: Calculate the measure of the angles

With \(x=19\), substitute and calculate the angle R:

\(\text{R}=5+2x\\\text{R}=5+2(19)\\\\\text{Calculate:}\\R=43^{\circ}\)

Calculate the angle S:

\(\text{S}=1+x\\\text{S}=1+19\\\\\text{Calculate:}\\\text{S}=20^{\circ}\)

Calculate the angle T:

\(\text{T}=7x-16\\\text{T}=7(19)-16\\\\\text{Calculate:}\\\text{T}=117^{\circ}\)

Answer:

multiply the numbers at the top

Answer:

35.4x

Step-by-step explanation:

Use Rule of One:  x^1 = x

3.54x × 10

Simplify.

the answer is

35.4x

Step-by-step explanation:

35.4 I think sorry if it aint

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

12m long

Step-by-step explanation:

96 divided by 8 will leave you with 12

12 times 8 will give you 96

Answer:12m

Step-by-step explanation:

Area=96\(m^{2} \\\)

width=8m

Area= length x width

96=l x 8

96=8l

divide both sides by 8

96/8=8l/8

l=12m

The radius of convergence (R) for the power series is 1/8.

The radius of convergence of a power series is found using the formula R = 1/L, where L is the limit superior of the absolute values of the coefficients. In this series, the coefficients are (8^n)/(n^5), and we can use the ratio test to find that L = lim(n→∞) |(8^(n+1) / (n+1)^5) / (8^n / n^5)| = 8/ e < ∞. Therefore, R = 1/L = e/8. To find the interval of convergence (I), we need to determine the values of x for which the series converges. We can use the ratio test again to show that the series converges absolutely for |x| < e/8. To check the endpoints of the interval, we can use the alternating series test, which shows that the series converges at x = -e/8 and diverges at x = e/8. Thus, the interval of convergence is I = (-e/8, e/8].

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1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation: