51, 48, 45, 43,... write a rule for the nth term of the sequence then find a20 base

Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

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Answer: The answer is C.

Step-by-step explanation:

It is definitely not B because the average of the numbers compared to what that shows don't make sense.

The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.

Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.

I hope I was able to help!

Good luck and have a great day :)

Answer:

\(Range = 11\)

\(\sigma^2 = 12.1\)

\(\sigma = 3.5\)

Step-by-step explanation:

Given

\(Data: 16,12,17,8,15,15,10,11,19,18\)

Solving (a): Range

This is calculated as:

\(Range = Highest - Least\)

Where:

\(Highest = 19\)

\(Least = 8\)

So:

\(Range = 19 - 8\)

\(Range = 11\)

Solving (b): The population variance

First, calculate the population mean using:

\(\mu = \frac{\sum x}{n}\)

So:

\(\mu = \frac{16+12+17+8+15+15+10+11+19+18}{10}\)

\(\mu = \frac{141}{10}\)

\(\mu = 14.1\)

So, the population variance is:

\(\sigma^2 = \frac{\sum(x - \mu)^2}{n}\)

\(\sigma^2 = \frac{(16 - 14.1)^2 + (12 - 14.1)^2 +............... + (19- 14.1)^2 + (18- 14.1)^2}{10}\)

\(\sigma^2 = \frac{120.9}{10}\)

\(\sigma^2 = 12.09\)

\(\sigma^2 = 12.1\) --- approximated

Solving (c): The population standard deviation.

This is calculated as:

\(\sigma = \sqrt{\sigma^2\)

\(\sigma = \sqrt{12.09\)

\(\sigma = 3.5\)

Answer:

ln25 = 3.219

ln50 = 3.912

ln22.3 = 3.105

lne^3 = 3lne = 3

ln0.45 = -0.799

Step-by-step explanation:

Calculator

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

c = 0.63(s)

Step-by-step explanation:

brainliest please<3

Right angle is an angle of 90 degrees while complementary angles add up to 90 degrees.

When the sum of two angles is 90°, then the angles are known as complementary angles.

A right angle is an angle of 90°.

Perpendicular lines are lines that intersect at a 90° angle. Perpendicular lines forms a right angle.

The complementary angle theorem states, "If two angles are complementary to the same angle, then they are congruent to each other".

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Using the provided conditions and values, This is solved with the concept of word problem, The answer is first, second and third aircrafts have 576,512 and 864 seats.

A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.

A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.

Let x be the number of seats on the second aircraft. Then, the first aircraft has x+64 seats and the third aircraft has 2x-152 seats.

We know that the total number of seats for all three aircraft is 1900, so we can set up the following equation:

x + (x+64) + (2x-152) = 1900

Solving this equation gives us x = 512, which means the second aircraft has 512 seats. We can then use this information to find the number of seats for the other two aircraft:

First aircraft: 512 + 64 = 576 seats

Third aircraft: 2(512) - 152 = 864 seats.

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Based on the information given; there are outliers in the data and this can be attributed to the relatively large standard deviation relative to the mean.

Outliers as the name implies are data values which significantly deviate from the measures of central tendency such as mean and median.

On this note, the major outliers in the scenario are; the minimum and maximum whose values are $18,000 and $350,000 respectively.

It is noteworthy to also know that the relatively large standard deviation with respect to the mean is an indicator of the presence of outliers in the data.

Ultimately, there are outliers in the data given and this follows from the fact that the mean, Q1, Q3 all range between 50,000 - 58,000 while the outliers can register for them LAS

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Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

What is needed to be congruent to show that ABC=AXYZ is AC ≅ XZ. option D

Given that in ΔABC and ΔXYZ, ∠X ≅ ∠A and ∠Z ≅ ∠C.

We are to select the correct condition that we will need to show that the triangles ABC and XYZ are congruent to each other by ASA rule..

ASA Congruence Theorem: Two triangles are said to be congruent if two angles and the side lying between them of one triangle are congruent to the corresponding two angles and the side between them of the second triangle.

In ΔABC, side between ∠A and ∠C is AC,

in ΔXYZ, side between ∠X and ∠Z is XZ.

Therefore, for the triangles to be congruent by ASA rule, we must have AC ≅ XZ.

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Answer:

Step-by-step explanation:

The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.

x+49+106=180

x+155=180

x=25

Answer:

106

Step-by-step explanation:

x+49=74

x=74-49=25

y=74=180

y=180-74=106

im sorry im late if u see this yw!

Answer:

1^7 = 2/2

Step-by-step explanation:

The derivative of g(x)=√9-x​ is  mathematically given as

\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

This is further explained below.

\(g(x)=\sqrt{9}-x\)

Rewrite 9 as 3^2.

\(\frac{d}{d x}\left[\sqrt{3^2}-x\right]\)

Pull terms out from under the radical, assuming positive real numbers. \(\frac{d}{d x}[3-x]\)

Differentiate.

By the Sum Rule, the derivative of 3-x with respect to x is

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$.\)

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$\)

Since 3 is constant with respect to x, the derivative of 3 with respect to x is 0 .

\($0+\frac{d}{d x}[-x]$\)

Evaluate

\(\frac{d}{d x}[-x]$.\)

Since -1 is constant with respect to x, the derivative of -x with respect to x is -\frac{d}{d x}[x].

\(0-\frac{d}{d x}[x]\)

Differentiate using the Power Rule which states that

t\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

In conclusion,

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Answer

Step-by-step explanation:

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Answer:

Step-by-step explanation:

to find out how much Angela she would have in the bank,

(600*3.6*1)100=21.60 she gains in one year

6 months  21.60/2=10.80

in 4.5 years

(21.60*4)+10.80=86.40+10.80=97.20 interest

the balance=600+97.20=697.20

Answer:

55

Step-by-step explanation:

The first crayon is chosen out of 11,so there are 11 choices

11

The second crayon is chosen out of 10 crayons left so there are 10 choices

10

11*10 = 110

But we do not care about the order, so we divide by 2 since there are 2 places

110/2 =55

Answer:

55

Step-by-step explanation:

Equation is a = n * (n-1)

11 * 10 = 110

Order doesn't matter, and two colors, so divide by 2.

110/2 = 55

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

\(DF = 38\)

\(GE = 40\)

Step-by-step explanation:

Given

\(DH = 2y + 6,\)

\(HF = 4x + 1,\)

\(HE = 3x + 2\)

\(GH = 20.\)

See attachment for parallelogram.

Required

Find GE and DF

From the attachment:

\(GH= HE\)

Substitute values for GH and HE

\(20 = 3x + 2\)

Subtract 2 from both sides

\(20-2 = 3x + 2-2\)

\(20-2 = 3x\)

\(18= 3x\)

\(3x = 18\)

Divide both sides by 3

\(x = \frac{18}{3}\)

\(x=6\)

\(GE = GH + HE\)

\(GH= HE\)

So:

\(GE = GH + GH\)

\(GE = 20 + 20\)

\(GE = 40\)

To find DF, we find y first:

\(DH = HF\)

\(2y + 6 = 4x + 1\)

Subtract 6 from both sides

\(2y +6- 6 = 4x + 1-6\)

\(2y = 4x + 1-6\)

Substitute 6 for x

\(2y = 4*6 + 1-6\)

\(2y = 19\)

Divide both sides by 2

\(y = \frac{19}{2}\)

\(y = 9.5\)

DF is then calculated as"

\(DF = DH + HF\)

\(DF = 2y+6 + 4x+1\)

Substitute values for x and y

\(DF = 2*9.5+6 + 4*3+1\)

\(DF = 38\)

Answer:

\(\frac{1}{14}\)

Step-by-step explanation:

\(\frac{5}{6}*\frac{1}{7}*\frac{3}{5}=\frac{5*3}{2*3*7*5} =\frac{1}{14}\)

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

Answer:

Its between option 3 and 4

Answer:

8653 × 8975= 77660675.

So the answer is 77660675

Hope I helped you

Answer:

the answer is 77660675

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

65+86+104+2x+3x = 360

5x = 360-65-86-104

= 105

x =21

Answer:

AB = 4 ft

BC = 16 ft

Step-by-step explanation:

To find the length of AB and BC you need to relate them using equations.

AB + BC = 20 ft (from the diagram)

4AB = BC (from your ratio)

Substituting BC = 4AB into AB + BC = 20:

AB + 4AB = 20 ft

5AB = 20 ft

AB = 4 ft

Plugging AB = 4 ft into AB + BC = 20 ft:

4 ft + BC = 20 ft

BC = 20 ft - 4 ft

BC = 16 ft

To check this, test both values against the ratio:

AB:BC = 1:4

4:16 = 1:4

1:4 = 1:4

So AB = 4 ft and BC = 16 ft

The value of distance , AB = 4 ft and BC = 16 ft.

It is given in the question, that Ladd is rearranging his living room furniture. He wants his couch to sit along the 20-ft wall.

How to arrange the furniture that the ratio of AB to BC is 1: 4 ?

In a business, 60 of the employees are men and 30 of the employees are women. What is ratio of women to men?

The ratio of women to men will be ; 30 : 60 = 1 : 2.

To find the length of AB and BC we need to relate them using the equations.

AB + BC = 20 ft (from the diagram) ----------- (Equation 1)

∵ AB : BC = 1 : 4

 ⇒ 4AB = BC

Substituting,  BC = 4AB into equation 1.

AB + 4AB = 20 ft

5AB = 20 ft

AB = 4 ft

Plugging AB = 4 ft into equation 1.

4 + BC = 20

BC = 20 ft - 4 ft

BC = 16 ft

Thus, the value of sides AB = 4 ft and BC = 16 ft , and here AB and BC are in ratio 1:4.

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Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: C = 2πr

where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14159), and r is the radius of the circle.

Given that the radius of the circle is 7ft, we can substitute this value into the formula and get: C = 2π(7ft) C = 14πft

So the circumference of the circle in terms of π is 14πft.