41.92 +5 tan 55 Find the limit of the sequence -0.29) n=1 Note: Write the exact answer not the decimal approximation (for example write 13 not 0.8). Answer: Limit of the sequence is va a sin(a)

Answer:

ok what do you what me to do with it

Step-by-step explanation:

Answer:

Line A = 3

Line B = - 1

Step-by-step explanation:

To find the gradient, you need two points on a line right. The formula for gradient is

\( \frac{y2 - y1}{x2 - x1} \)

So on line A, try to find 2 points (coordinates)

You have (-2,1) , (-1,4) , (0,7)

Choose any two

Let's say (-1,4) and (0,7)

Gradient =

\( \frac{7 - 4}{0 - - 1} = \frac{3}{1} = 3\)

Gradient of line A is 3

For line B, let's take (1,7) and (2,6)

Gradient =

\( \frac{7 - 6 }{1 - 2} = \frac{1}{ - 1} = - 1\)

Gradient of line B = - 1

Answer:

You will get there in 4 hours

Step-by-step explanation:

Use the distance formula D=r•t , to determine how much time, t, in hours it will take you to get there

Where D = Distance

r = rate = Average Speed

t = time in hours

From the question

D = 220 miles

t = ??

r = 55 miles/hour

Hence:

220miles = 55miles/hour × t

t = 220/55

t = 4 hours

You will get there in 4 hours

Answer: B Lydia got fewer than 4 questions wrong on her math test.

The inequality < 4 means "less than 4," so the correct sentence that represents this inequality is C) Lydia got 4 or fewer questions wrong on her math test.

Answer:

  40 square feet

Step-by-step explanation:

You want the area in square feet of a closet that is 10 feet long and 48 inches wide.

The area is the product of the length and width. For area to be in square feet, both dimensions must be in feet.

  12 in = 1 ft

  48 in = 4 ft

Then the area is ...

  A = LW = (10 ft)(4 ft) = 40 ft²

The area of the closet is 40 square feet.

By solving the equation -3x = 348, we find that the value of x is -116.

The property of equality that could be used to solve -3x = 348 is the multiplication property of equality, which states that if we multiply both sides of an equation by the same non-zero number, the equation remains equivalent. In this case, we can divide both sides of the equation by -3 to isolate x and solve for it.

Using the multiplication property of equality, we can multiply both sides by -1/3:

(-1/3) * (-3x) = (-1/3) * 348

Simplifying:

x = -116

Therefore, the solution to the equation -3x = 348 is x = -116.

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Answer:

24 songs

Step-by-step explanation:

I hope this helps!

Answer:

Its D

Step-by-step explanation:

Just took the test and got a 96%

Answer:

d

Step-by-step explanation:

fart

Answer:

68

Step-by-step explanation:

the square shape on the corner means it is a right angle, which is 90 degrees

--> that means the value which comes out when you subtract 22 from 90 is the angle left, which is "a" in this case.

90-22=68

To calculate the probability that the code starts with a 2, we need to determine the total number of possible codes and the number of codes that start with a 2.

Step 1: Calculate the total number of possible codes:

Since the code is made of 10 numbers without repetition, the total number of possible codes is given by the permutation formula, which is denoted as \( P(n,r) = \frac{{n!}}{{(n-r)!}} \), where \( n \) is the total number of elements and \( r \) is the number of elements selected at a time.

In this case, \( n = 10 \) (since there are 10 numbers from 0 to 9) and \( r = 10 \) (since we are selecting all 10 numbers for the code).

So, the total number of possible codes is \( P(10,10) = \frac{{10!}}{{(10-10)!}} = \frac{{10!}}{{0!}} = 10! \).

Step 2: Calculate the number of codes that start with a 2:

Since the code must start with a 2, we have fixed the first digit. Now, we need to select the remaining 9 digits from the remaining 9 numbers (0, 1, 3, 4, 5, 6, 7, 8, 9). This can be done in \( P(9,9) = \frac{{9!}}{{(9-9)!}} = \frac{{9!}}{{0!}} = 9! \) ways.

Step 3: Calculate the probability:

The probability that the code starts with a 2 is the ratio of the number of codes that start with a 2 to the total number of possible codes.

So, the probability is \( \frac{{P(9,9)}}{{P(10,10)}} = \frac{{9!}}{{10!}} \).

Simplifying the expression, we get:

\( \frac{{9!}}{{10!}} = \frac{{9!}}{{10 \cdot 9!}} = \frac{1}{10} \).

Therefore, the probability that the code starts with a 2 is \( \frac{1}{10} \), or 0.1, which can also be expressed as 10%.

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Moving left subtracts from the x value the number you move.

In (2,9) the x value is the number 2

You move 1 unit to the left so subtract 1 from 2:

2-1 = 1

You will be at (1,9)

Answer:

They won 58% percent of their games

Step-by-step explanation:

3 is about 42% of 7 so just take 100 and subtract 42 to get the percentage of games they won.

When m and n are integers such that 6<m<n, the value of n is 18.

In mathematics, multiples are the results of multiplying a given number by an integer. Manifold is the basic definition of multiplicity. A multiple is defined in mathematics as the product of one integer multiplied by another number. A multiple of a number is just the product of that number and another non-zero whole number. For instance, 12 is the sum of 2 and 6. 2 and 6 are both non-zero whole numbers.

Here,

We know this because statement 2 tells us that 36 is a multiple of N.

So, let's first list all pairs of values that satisfy statement 2 (as well as the given information):

i) M = 12 and N = 36

ii) M = 18 and N = 36

iii) M = 12 and N = 18

That's it!!

Among these three possible pairs of values, only one pair satisfies statement 1: M = 12 and N = 18

Since it must be the case that M = 12 and N = 18, the target question is N = 18

The value of n is 18 when m and n are integers such that 6<m<n.

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Answer:

3

Step-by-step explanation:

9 divided by 3 is 3

So, you can multiply 3/2 by 3 to get 9/2

Hope this helps! :)

The Vector at the point 1, -2/3, -1 is <1, -2/3, -1>.

Given that the equation of the vector is r(t) = t², 2/3t, t.The point at which we have to find the vector is 1, -2/3, -1, which means we need to find the value of t at that point.

First, we can equate the x, y, and z coordinates of the given point with the respective coordinates of the vector equation.

That is:x-coordinate: t² = 1y-coordinate: 2/3t = -2/3z-coordinate: t = -1From the z-coordinate, we get t = -1.Substituting this value of t in the x-coordinate, we get t² = 1, which gives us t = ±1.

Substituting this value of t in the y-coordinate, we get 2/3t = -2/3, which gives us t = -1.Now we have the value of t at the given point, which is t = -1.

Substituting this value of t in the vector equation, we get:r(-1) = (-1)², 2/3(-1), -1= 1, -2/3, -1

Therefore, the vector at the point 1, -2/3, -1 is <1, -2/3, -1>.

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Answer:

±5

Step-by-step explanation:

Given equation ,

=> x² - 25 = 0

=> x² - 5² = 0

=> ( x +5)(x-5) = 0

=> x = ±5

Answer:

x = -5 or 5

Step-by-step explanation:

→ Factor the quadratic

( x + 5 ) ( x - 5 )

→ Equate each bracket to 0

x + 5 = 0 and x - 5 = 0

→ Solve each for x

x = -5 or 5

Answer: 300

Step-by-step explanation:

From the question, we are informed that Mr Gaines is catering his company picnic and that he will pay $18.45 for 3 people to eat the barbecue lunch. This means each person spends:

= $18.45/3

= $6.15

With a budget of $1850.00, the number of people that he'll be able to feed will be:

= $1850/$6.15

= $300 people

Answer:

  (b)  Length = 30 feet, width = 20 feet

Step-by-step explanation:

The scale factor is applied to the drawing dimensions to find the actual dimensions.

__

  length = (6 cm) × (5 ft)/(1 cm) = 30 ft

  width = (4 cm) × (5 ft)/(1 cm) = 20 ft

_____

Additional comment

You can also write the scale factor as part of a proportion:

  5 ft : 1 cm :: x ft : 6 cm

Multiplying by 6 cm gives

  (5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above

Answer: 24 bracelets.

Step-by-step explanation:

This question is about the division of numbers.

Since there are 3 yards of thread that is needed to be cut into pieces that are 1/8 of a yard long, this means that we've to divide 3 yards by 1/8. This will be:

= 3 ÷ 1/8

= 3 × 8

= 24

Therefore, they can make 24 bracelets from the yarn.

Signed and unsigned integer expressions differ in how they interpret and represent numerical values. Signed integers can represent both positive and negative values, while unsigned integers can only represent non-negative values.



1. Signed Integer Expressions: Signed integers are capable of representing positive, negative, and zero values. They allocate a bit for the sign, typically using the leftmost bit (the most significant bit). The remaining bits are used to represent the magnitude of the number. The sign bit is set to 0 for positive or zero values and set to 1 for negative values. This representation allows for a wider range of values, but half of the possible bit patterns are reserved for negative numbers, limiting the maximum positive value that can be represented.

2. Unsigned Integer Expressions: Unlike signed integers, unsigned integers do not allocate a bit for the sign. Instead, all bits are used to represent the magnitude of the number, allowing for a wider range of non-negative values. As a result, unsigned integers can represent larger positive values than their signed counterparts. However, they cannot represent negative values or zero, as there is no reserved bit to indicate the sign.

The choice between signed and unsigned integer expressions depends on the specific requirements of a program. Signed integers are typically used when negative values need to be represented or when arithmetic operations may result in negative values. On the other hand, unsigned integers are useful when dealing with quantities that are always expected to be positive, such as array indices or lengths of data structures. It's important to consider the range of values required and the potential impact of overflow or underflow when selecting between signed and unsigned integer expressions.

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To calculate the area of the triangle we need to know the length of the base and the height of the triangle.

Let us consider that the base is AB. The base length is the distance between points A and B.

       \(\boldsymbol{\sf{ d(AB)=\sqrt{(3-(-2))^2+(-2-(-1))^2}=\sqrt{25+1}=\sqrt{26}. }}\)

To calculate the length of the height we have to start by calculating the equation of the line that passes through the points A and B.

                    \(\boldsymbol{\sf{ \cfrac{x+2}{5}=\cfrac{y+1}{-1} \ \ \Longrightarrow \ \ y=-\cfrac{x}{5}-\cfrac{7}{5} }}\)

Now we calculate the perpendicular to the previous line that passes through point C. This will be the equation of the height of the triangle. The slope of this line is \(\bf{-\frac{1}{-1/5}=5 }\).

Then the perpendicular line is of the form y = 5x + n. Since this line passes through point C, we substitute the coordinates of the point on the line to find the independent term n=-7, so the perpendicular line is y=5x-7.

Let us now calculate the intersection point of the lines, for this we equalize both lines.

                               \(\boldsymbol{\sf{-\cfrac{x}{5}-\cfrac{7}{5}=5x-7 \ \ \Longrightarrow \ \ x=\cfrac{14}{13} .}}\)

Substituting in the perpendicular line we obtain \(\bf{y=-\frac{21}{13}}\) , then the intersection point is

                 \(\boldsymbol{\sf{P\left(\cfrac{14}{13},-\cfrac{21}{13}\right).}}\)

To calculate the length of the height, we need to find the distance between the points P and C.

             \(\boldsymbol{\sf{d(PC)=\sqrt{\left(2-\cfrac{14}{13}\right)^2+\left(3-\left(-\cfrac{21}{13}\right)\right)^2}=\sqrt{\cfrac{288}{13}} }}\)

We calculate the area of the triangle

                            \(\boldsymbol{\sf{Area=\cfrac{\sqrt{26}\cdot\sqrt{\cfrac{288}{13}}}{2}=12\ u^2 }}\)

22/10000 or 11/5000 (simplified)

0.0022 is in the ten thousandths place so it will be 22/10000 then simplify to make 11/5000

\( \frac{11}{5000} \)

Step-by-step explanation:

\(0.0022 \: \: > convert \: \: the \: expression \: \: \\ \\ \frac{22}{10000} > reduce \: \: the \: \: fraction \: \\ \\ = \frac{11}{5000} \)

hope it helps

Answer:

b

Step-by-step explanation:

The length of the road that connects the service station with Cray is 46.2 mi.

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

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Answer:

the answer should be A Hope this helps!

9514 1404 393

Answer:

  C.  25/6 ft²

Step-by-step explanation:

Let's call the dimensions of Rectangle B x and y. Then ...

  xy = 5 ft²

and

  x² = 6 ft²

We want to find the value of y². Solving the first equation for y, then substituting for x², we have ...

  y = (5 ft²)/x

  y² = ((5 ft²)/x) = 25 ft⁴/x² = 25 ft⁴/(6 ft²)

  y² = (25/6) ft² . . . . . . . matches choice C

Event A and B = 4

Event A or B = 2, 3, 4, 5, 6, 8

Complement of Event B = 1, 2, 7, 8

Event A: The marble selected has an even number.

The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.

Event B: The marble selected has a number from 3 to 6.

The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.

Event A and B:

The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.

Therefore, the outcome for Event A and B is: 4.

Event A or B:

The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.

Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.

Complement of Event B:

The complement of an event includes all the outcomes that are not part of the event.

In this case, the complement of Event B includes the numbers that are not from 3 to 6.

Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.

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Complete question

A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number on the marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

Event A and B =

Event A or B =

Complement of the event B=

If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.

The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.

If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.

To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.

This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.

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Assuming each spider has 8 legs, it would take 877,256 legs to make 109,657 spiders