Solve the math problem

Answer:3

Step-by-step explanation:

10-4/2-0 = 6/2 = 3

Answer:

3

Step-by-step explanation:

The slope is 3

it is 6/2 reduced to 3

The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

The given sequence is an = n/(42+3n).

To determine whether it converges or diverges, we can use the limit comparison test. Taking the limit as n approaches infinity of the ratio of an and n, we get lim n→[infinity] an/n = lim n→[infinity] n/(n(42/ n+3)) = lim n→[infinity] 1/(42/ n+3) = 1/42.

Since the limit is a finite positive number, the sequence converges. To find the limit, we can use the fact that the sequence converges to the same limit as an = 1/(42/ n+3).

Taking the limit as n approaches infinity of 1/(42/ n+3), we get lim n→[infinity] 1/(42/ n+3) = 0. Therefore, the limit of the given sequence is 0.

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Complet question:

determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an =  n/(42+3n) lim n→[infinity] an =

Answer:

44 degrees I believe.

Step-by-step explanation:

Vertical angles are the same degrees, so that means f plus 30 should equal 74. If you subtract 74 by 30, you should get 44. This would be measure of f.

Rounding to 3 decimal places, the primary root of (4-3i)^(1/5) is approximately:

(4-3i)^(1/5) = 1.380(cos(-0.129) + i sin(-0.129))

To find the primary root of the complex number (4-3i)^(1/5), we can use the polar form of complex numbers.

First, we need to find the modulus (or absolute value) and the argument (or angle) of the complex number (4-3i):

|4-3i| = sqrt(4^2 + (-3)^2) = 5

Arg(4-3i) = arctan(-3/4) = -0.6435 (rounded to 4 decimal places)

Next, we can write the complex number (4-3i) in polar form as:

4-3i = 5(cos(-0.6435) + i sin(-0.6435))

To find the primary root, we need to take the fifth root of the modulus and divide the argument by 5:

|4-3i|^(1/5) = 5^(1/5) = 1.3797 (rounded to 4 decimal places)

Arg(4-3i) / 5 = -0.1287 (rounded to 4 decimal places)

Finally, we can write the primary root in rectangular form by multiplying the modulus by the cosine of the argument divided by 5 for the real part and multiplying the modulus by the sine of the argument divided by 5 for the imaginary part:

(4-3i)^(1/5) = 1.3797(cos(-0.1287) + i sin(-0.1287))

Rounding to 3 decimal places, the primary root of (4-3i)^(1/5) is approximately:

(4-3i)^(1/5) = 1.380(cos(-0.129) + i sin(-0.129))

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Answer:

60 rabbits last year.

Step-by-step explanation:

500% is equal to 5 times.

300 = 5x

x = 60

Answer:

\(x=7\)

Step-by-step explanation:

\(x =\sqrt{(x+18)}+2\)

subtract 2 from both sides:

\(x -2=\sqrt{(x+18)}\)

square both sides:

\((x -2)^2=x+18\)

expand brackets:

\(x^2-4x+4=x+18\)

subtract x from both sides:

\(x^2-5x+4=18\)

subtract 18 from both sides:

\(x^2-5x-14=0\)

factor:

\(x^2+2x-7x-14=0\)

\(x(x+2)-7(x+2)=0\)

\((x+2)(x-7)=0\)

solve for x:

\(x+2=0\implies x=-2\)

\(x-7=0\implies x=7\)

Now we have found the values of x, input them into the original equation to verify:

when \(x = -2\):

\(\sqrt{(-2 +18)}+2=6\\\\ 6\neq 2\implies \textsf {incorrect}\)

when \(x = 7\):

\(\sqrt{(7+18)}+2=7\\\\ 7=7\implies \textsf {correct}\)

Therefore, the only correct solution is \(x=7\)

Let's find x

\(\\ \rm\rightarrowtail x=\sqrt{x+18}+2\)

\(\\ \rm\rightarrowtail x-2=\sqrt{x+18}\)

\(\\ \rm\rightarrowtail x^2-4x+4={x+18}\)

\(\\ \rm\rightarrowtail x^2-5x-14=0\)

\(\\ \rm\rightarrowtail x^2+2x-7x-14=0\)

\(\\ \rm\rightarrowtail (x+2)(x-7)=0\)

The correct statements will be a line has only one dimension and two endpoints.

A line is simply an object in geometry that is characterized under zero width object that extends on both sides.

So, from here we can see that a line has two endpoints.

We also know that the line has only one dimension.

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Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

I'm assuming ratio of a to b is the remainder of the long division.

Answer:

The awnser is 2

Step-by-step explanation:

Answer:

Could you please show me a graph so I can answer more clearly? I'll follow up on this question if it helps.

Step-by-step explanation:

Answer:

x = -7

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Answer:

21.21

Step-by-step explanation:

length of arc= 135°÷360×2×π×r

take π=22/7

radius=18/2=9

135°÷360×2×22/7×9

using calculator= 21.21

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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The radius of the cone with the given volume and height is given by :

Option C. The radius of the cone is same as a cylinder with a volume 500(3) and with the same height.

As given in the question,

Volume of the cone = 500cm³

Height of the cone is equal to 5cm

Let 'r' be the radius of the cone

Volume of the cone = ( 1/3)πr²h

⇒500 = ( 1/3)πr²(5)

⇒500(3) = πr²(5)

Volume of the cylinder with same height = πr²(5)

As volume of cylinder = πr²h

Therefore, the radius of the cone with given volume and height is equal to option C. the radius of the cone is same as a cylinder which has volume (500)(3) and same height as of cone.

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The length and width of the rectangle with area of 960 cm² are 47.3 cm and 20.3 cm respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and parallel to each other.

The area of the rectangle is 960 square centimetres. The ratio of the length to the width is 7:3. Therefore, the length and the width of the rectangle can be found as follows:

Therefore,

area of a rectangle = lw

where

Hence,

960 = lw

Let 3x be the width; then length must be 7x. Area = the product 21x² = 960 cm².

Therefore,

21x² = 960

x² = 960 / 21

x² = 45.7

x = √45.7

x = 6.76

Therefore,

length = 7(6.76) = 47.3 cm

width = 3(6.76) = 20.28 cm

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The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

Suppose that we have a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

In which:

fx(x,y) is the partial derivative of f relative to variable x.

fy(x,y) is the partial derivative of f relative to variable y.

The function in this problem is defined as follows:

f(x,y) = xe^(3xy).

Applying the product rule, the partial derivative relative to x is given as follows:

fx(x,y) = e^(3xy) + 3xye^(3xy) = (1 + 3xy)e^(3xy).

Applying the chain rule, the partial derivative relative to y is given as follows:

fy(x,y) = 3x²e^(3xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

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x ≤ 3

x ∈ [ 3 ; +oo )

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

Answer:

4

Step-by-step explanation:

d=-4+5=-3+4=-2+3=1

   a(n) = a +(n-1)d

   a(n) = -5+(n-1)1

   a(10) = -5+(10-1)1

           =4

hope this help

The nth term and 10th of the arithmetic sequence will be -5 + (n - 1) and 4, respectively.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

-5, -4, -3, -2, ......

The first term is -5. And the common difference is given as,

d = - 4 + 5

d = 1

Then the nth term of the arithmetic sequence will be given as,

aₙ = -5 + (n - 1) x 1

aₙ = -5 + (n - 1)

Then the 10th term of the arithmetic sequence will be given as,

a₁₀ = -5 + (10 - 1) x 1

a₁₀ = - 5 + 9

a₁₀ = 4

The nth term and 10th of the arithmetic sequence will be -5 + (n - 1) and 4, respectively.

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The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

The domain of the function is (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. It is the set of values that can be substituted into the function to obtain a valid output value.

In this case, we have:

f(x) = 4/|x| - 2

The absolute value of x is always non-negative, so |x| > 0. Thus, we can rewrite the function as:

f(x) = 4/(|x| - 2)

To find the domain of this function, we need to identify any values of x that make the denominator zero, since division by zero is undefined. In this case, we have:

|x| - 2 = 0

|x| = 2

So, the function is undefined for x = ±2. This means that the domain of the function is all real numbers except x = ±2. In interval notation, we can write:

Domain: (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).

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The correct order of the ratios from the least to the greatest is given below:

4/2, 11 to 2, 22:3, 30/4, 36:5

Least to greatest: 4/2 = 2, 11:2 = 5.5, 22:3 = 7.33, 30:4 = 7.5, 36:5 = 7.2

15/4, 19 to 5, 53/15, 4:1, 18 to 6

Least to greatest: 15/4 = 3.75, 19:5 = 3.8, 53:15 = 3.53, 4:1 = 4, 18:6 = 3

7:11, 8:12, 6:10, 1/2, 7:4

Least to greatest: 7:11 = 0.6364, 6:10 = 0.6, 8:12 = 0.6667, 1/2 = 0.5, 7:4 = 1.75

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Therefore,

The ratios listed in the question are ordered from least to greatest by converting each ratio into a decimal and comparing the values.

In each case, the fraction is divided, the ratio of two numbers is expressed as a decimal, and then the decimals are ordered from least to greatest.

For example, in the first list, the ratio "11 to 2" is expressed as the decimal 11/2, which is equal to 5.5. The other ratios are similarly expressed as decimals and then ordered to get the final answer.

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The stem-and-leaf plot represents data in the form of stem values and leaf values. The stem values are on the left side and the leaf values are on the right side of the plot. Each stem corresponds to a group of values and the leaves represent the individual values within that group.

From the given plot, we can see that the stem values range from 6 to 9 and the leaves range from 0 to 9. The smallest value in the data set is obtained by combining the smallest stem value (6) with the smallest leaf value (0), which gives 60. The largest value is obtained by combining the largest stem value (9) with the largest leaf value (2), which gives 92.

Therefore, the data represented by the stem-and-leaf plot range from 60 to 92. The answer is (B) 61; 92, which is the closest choice to the actual range.

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The relative frequency for the 55 - 60 class is equal to 0.022.

In a frequency distribution table, a class width simply refers to the difference between the maximum) and minimum boundaries of any class in a data set.

This ultimately implies that, all classes must all have the same width in a frequency distribution table.

First of all, we would determine the total frequency as follows:

Total frequency = 8 + 10 + 6 + 7 + 15

Total frequency = 46.

Mathematically, the relative frequency of a class width can be calculated by using this formula:

Relative frequency = class frequency/total frequency

Relative frequency = 1/46

Relative frequency = 0.022

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1.5 percent I 5hink 9ook

Answer:

0

Step-by-step explanation:

Value of (256)0.16 X (256)0.0 = 0

Answer:

150 km

Step-by-step explanation:

The scale tells you what real distance corresponds to a distance in the drawing. 1 cm in the drawing means 60 km of real distance.

Since 2.5 cm is 2.5 times 1 cm, it represents 2.5 times 60 km of real distance.

2.5 * 60 km = 150 km