273 to the nearest 100

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer: i believe it’s 0.28, but tbh i’m on a unit test so i can’t see what’s wrong and what’s right. good luck!

Step-by-step explanation:

Answer:

c- 0.28

Step-by-step explanation:

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

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Answer:

(x-9)^2

Step-by-step explanation:

Answer:

3 4/9

Step-by-step explanation:

Answer: 3 4/9

Step-by-step explanation:

6 1/9 - 2 6/9 = 3 4/9, What I did was multiply 2/3 by 3 on both sides and got 6/9, I then subtracted 2 6/9 from 6 1/9 and got 3 4/9.

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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Standard form of quadratic function with leading coefficient 1,

x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

As given in the question,

Given :

y is the dependent variable of the required quadratic function.

x  is the independent variable of the required quadratic function.

Leading coefficient of quadratic function is 1

X-intercept of the required function is 7 and 10

Standard form of required quadratic function is equal to

y = k (x-a)(x -b)

Here k=1 , a=7 , b=10

y = 1 (x -7)(x - 10)

⇒ y = x² -7x -10x +70

⇒ y= x² -17x +70

Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

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Answer: B. 1/2

2 tooth pick touching out of the 5 that is 2/5. 2.5/5 is one half so that 1/2 half is really close to a half.

Answer: 12.2

Step-by-step explanation:=  

61/5=12.2

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

The first one is 13/20 second one is 13/25 and the third is equally likely

Step-by-step explanation:

Answer:

The correct answer is -

1. B. stratified sampling

2. C. Systematic Sampling

3. A. Cluster Sampling

4. E. Simple Random Sampling

5. D. Convenience Sampling

Explanation:

Stratified sampling is a method in which samples have collected from a population that can be partitioned into subpopulations, categories or strata.

Systematic sampling is the method in which samples are at low risk of manipulation due to the getting samples ordered sampling range or frame.

Cluster sampling is the sampling that has random clusters of samples and data collected from selected clusters.

In a simple random sampling method, there are equal chances to get selected from a population in the sampling method.

Convenience Sampling is the sampling there is a selection of the data as these samples are convenient to collected and selected.

Answer:

Its Spring break pls relax

Step-by-step explanation:

a. Category with the greatest frequency is 20 - 24

b. 14 students

c. The percentage is 7%

Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.

From the information given, we have that;

a. The category with the greatest frequency is the one with most words spelt, we have;

20 - 24

b. The number of students that spelt 35 - 39 words is traceable to

14 students

c. If the total number of students is 200

Then, the percent of students in the 35 - 39 category is;

14/200 × 100/1

Multiply the values

7%

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Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

The distance between each pair of points include the following:

44. 2.8 units.

45. 5.8 units.

46. 12.0 units.

47. 16.6 units.

48. 7.1 units.

49. 4.5 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

Question 44.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(3 - 1)² + (2 - 4)²]

Distance = √[(2)² + (-2)²]

Distance = √8

Distance = 2.8 units.

Question 45.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-2 + 7)² + (0 - 3)²]

Distance = √[(5)² + (-3)²]

Distance = √34

Distance = 5.8 units.

Question 46.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-6 - 2)² + (-2 - 7)²]

Distance = √[(-8)² + (-9)²]

Distance = √145

Distance = 12.0 units.

Question 47.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(1 - 8)² + (-8 - 7)²]

Distance = √[(-7)² + (-15)²]

Distance = √274

Distance = 16.6 units.

Question 48.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-5 - 2)² + (-4 + 5)²]

Distance = √[(-7)² + (1)²]

Distance = √50

Distance = 7.1 units.

Question 49.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(5 - 3)² + (5 - 1)²]

Distance = √[(2)² + (4)²]

Distance = √20

Distance = 4.5 units.

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Answer:

new equation : 1.09t = new price

Step-by-step explanation:

1.09(15.99) = 17.4291

it's about $17

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

~

Answer:  False :)

Step-by-step explanation:

Answer:

x the probleme

Step-by-step explanation:

Answer:

2 is 3/5 and 3 is (0,-6) and the slop is 4/3

Step-by-step explanation:

Answer: 121

Step-by-step explanation:

If 2^x = 5, what is the value of 2³^×

This can also be re arranged in the form

(2^x)³ - 4

Since 2^x = 5, we now substitute for the value in the expression above.

5³ - 4

= 125 - 4

= 121.

Answer:

If Tonia eats 1/8 of the cake, then the fraction of the cake left is:

1 - 1/8 = 7/8

If Trinny eats 1/6 of the cake, then the fraction of the cake left is:

1 - 1/6 = 5/6

Since Tonia and Trinny have identical cakes, the amount of cake left is the same for both of them. Therefore, the amount of cake left is:

(7/8 + 5/6) / 2 = 41/48

So there is 41/48 of the cake left.

Based on the information given in the advertisement, we can conclude that the sale price of the table is $420.

Here's how we can arrive at this answer:

Let the original price of the table be represented by P.

We know that the sale price of the table is obtained by reducing the original price by 30%. Mathematically, this can be represented as:

Sale price = P - 0.3P

Simplifying this expression, we get:

Sale price = 0.7P

We are also given that the sale saves us $180 on this table. Mathematically, this can be represented as:

0.7P - P = -$180

Simplifying this expression, we get:

-0.3P = -$180

Dividing both sides by -0.3, we get:

P = $600

Therefore, the original price of the table was $600.

Using the equation for sale price that we derived earlier, we can now find the sale price of the table:

Sale price = 0.7P = 0.7 x $600 = $420

Hence, the sale price of the table is $420.

The equation of line is y = -2x + 9

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 7 )

The slope of the line is m = -2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = -2 ( x - 1 )

y - 7 = -2x + 2

Adding 7 on both sides of the equation , we get

y = -2x + 9

Hence , the equation of line is y = -2x + 9

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Answer:

D

Step-by-step explanation:

A) 2/3 miles in 8 hours = 2 miles in 24 hours

B) 1/2 miles in 3 hours = 4 miles in 24 hours

C) 16 miles in 4 hours =  96 miles in 24 hours

D) 8 miles in 2/3 hours = 288 miles in 24 hours

Hence the answer is D (8 miles in 2/3 hours)

Answer:

2/5

Step-by-step explanation:

slope = rise over run

goes up 2, goes to the right 5

Answer:

  x = 20

Step-by-step explanation:

The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.

__

  total time = Journey A time + Journey B time

  total time = (distance A)/(speed A) + (distance B)/(speed B)

  total time = 15/x +6/(x+4) = 1 . . . . . using the given values

Multiplying by x(x+4) we have ...

  15(x +4) +6(x) = (x)(x +4)

  21x +60 = x² +4x

  x² -17x -60 = 0 . . . . . rearrange to standard form

  (x -20)(x +3) = 0 . . . . factor the equation

  x = 20  or  x = -3 . . . values of x that satisfy the equation

We know the speed must be positive, so x = -3 is an extraneous solution.

The value of x is 20 (km/h).

It's closer to 2, so it would be rounded from 1.682 in to 2 in.

Answer:

No, its most likely 2

Step-by-step explanation:

6 is closer to 10

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