the nth term of 1,3,5,7, … is

Answer:

27

Step-by-step explanation:

3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.

Hope that helped!

The reasons that can be used to complete the two column table used to prove the required expressions are;

1. ∆ABD Cong. ∆CBE Side-Angle-Side, SAS, rule of congruency

2. ∆ABC cong. ∆EDC Angle-Side-Angle, ASA, rule of congruency

1. Statements Reasons

1) <A = <C Given

2) AB = BC. Congruent sides of isosceles triangle

3) AE Cong. DC. Given

4) AE = DC. Definition of congruency

5) ED Cong. ED. Reflexive property of equality

6) AE + ED = DC + ED Addition property of equality

7) AE + ED = AD, DC + ED = CD Addition property of equality

8) AD = ED, Substitution property of equality

9) AD Cong. ED Definition of congruency

10) ∆ABD Cong. ∆CBE Side-Angle-Side, SAS, rule of congruency

2. Statements Reasons

1) AB || DE Given

Midpoint of BD = C Given

2) <ABC Cong. <EDC Alternate angles formed by parallel lines

3) BC Cong. CD Definition of midpoint

4) <ACB Cong. <DCE Vertical angle theory

5) ∆ABC cong. ∆EDC Angle-Side-Angle, ASA, rule of congruency

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Answer:

73.21 m

71.68°

Step-by-step explanation:

Like the question has stated, we're to solve this using Pythagoras theorem.

Pythagoras theorem states that

opp² + adj² = hyp²

From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.

Succinctly put, we have

69.5² + 23² = hyp²

4830.25 + 529 = hyp²

hyp² = 5359.25

hyp = √5359.25

hyp = 73.21 meters.

Therefore, the length of the cable is 73.21 meters long.

To get the angle, we use the formula

Sin Φ = opp/hyp

Sin Φ = 69.5 / 73.21

Sin Φ = 0.9493

Φ = sin^-1 0.9493

Φ = 71.68°

Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°

Answer:

a: (2, 8) it's where the loop is

b: x = 2 its where the U would fold over itself

c: (0,0)

d: (0,0) , (4, 0)

e:

domain- (negative infinity, infinity)

range- (negative infinity, 8)

the answers that you did that i can see are right! don't be embarrassed to not be sure of your answers.

We can find the formula of y like this:

first we can add 33 on both sides of the equation:

y-33+33=5(x-3)+33

Then:

y+0=5(x-3)+33

And finally:

y=5(x-3)+33

The estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution is 3.5 and the quantify the uncertainty of your estimate by giving the standard deviation of the distribution is 1.64.

As per the question given,  

Imagine you're in Portland, Oregon, and a rainstorm has just passed through, causing a power outage in 7% of the households in the city. Now suppose you take a random sample of 50 households to see how many of them were affected by the outage. How can you estimate the number of households in the sample that lost electricity, and how certain can you be of your estimate?

By using the binomial distribution with parameters n=50 and p=0.07, we can calculate that the average number of households in a random sample of 50 that lost electricity is 3.5. This means that we can expect around 3 or 4 households in the sample to have been affected by the power outage on average.

But we don't just want to know the average - we also want to know how much variation we can expect in our sample. By calculating the standard deviation of the distribution, we can see that the number of households that lost electricity in a sample of 50 is likely to vary by around 1.64 on average.

Of course, it's important to keep in mind that these calculations assume that our sample is random and representative of the population of Portland households, and that there are no dependencies or correlations between households that could affect the probability of losing electricity during the rainstorm. But armed with this information, we can make a reasonable estimate of the number of households affected by the power outage and have a sense of how uncertain our estimate is likely to be.

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

150.5

Step-by-step explanation:

order the numbers lowest-highest:

111, 129, 144, 149, 152, 162, 166, 171

find the number exactly in the middle of the sequence

Answer:

150.5 is the answer

Step-by-step explanation:

You put them in order of smallest to largest

111,129,144,149,152,162,166, 171

Then you pick the middle one

150.5

The cost of students ticket is $37.5and the cost of general admission is $187.5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Assume s be the students tickets cost and g be the general admission cost.

From the given information,

⇒  s + g = 225             ..(1)

 5s + 7g = 1500         ..(2)

From equation (1),

s = 225 - g

Plug the value of s in equation (2)

5(225 - g) + 7g = 1500

1125 - 5g + 7g = 1500

                  2g = 1500 - 1125

                  2g = 375

                    g = 187.5

Plug g = 125 in equation (1),

s + 187.5= 225

        s = 225 - 187.5

        s = 37.5

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Answer:

14sqrt3

Step-by-step explanation:

So its a 30-60-90 triangle. This means the height is 14sqrt3

The teacher puts the names of all the students in a box and mixes them up, is a fair and unbiased method for choosing the five students.

A fair and impartial method of selecting the five kids is Option 1, where the teacher puts all of the students' names in a box and mixes them up. No matter where they are in the classroom or what gender they are, this system guarantees that every student has an equal chance of getting selected.

The fairest and most impartial way to select the five students who will be featured on the bulletin board is Option 1, where all of the kids' names are placed in a box and mixed up.

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The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

$10.50

Step-by-step explanation:

$39.90 ÷ 3.8 pounds

= 10.50263157894735

after rounding, your answer must be 10.50

hope this helps.

Answer:

standard form means that the terms are ordered from biggest exponent to

lowest exponent. The leading coefficient is the coefficient of the first term in a

polynomial in standard form . For example, 3x^4 + x^3 - 2x^2 + 7x.

Answer: The answer is 74

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are \((3n-28)^\circ$ and 83^\circ.\)

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

\((3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37\)

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

6.300

Step-by-step explanation:

Answer: What is "A" rounded to the nearest thousandth? answer: 6.340

What is "A" rounded to the nearest hundredth? Answer: 6.300

Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.

Hope this helps, I'm doing math too, just taking a break to help someone else out.

Answer:

you just answered your own question

Answer:

Total periodic pension costs (TPPC) is equal to the contributions plus change in the pension liability during the year. Each period, the periodic pension cost is recognized in profit or loss (P&L) and/or in other comprehensive income (OCI).

Answer:

3.46

Step-by-step explanation:

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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Answer:

7.22

Step-by-step explanation:

Use a calculator

Answer:

19 x 0.38 = 7.22

Step-by-step explanation:

if the number you are multiplying by is smaller than 1, it's always smaller than the beginning number.

May I have brainliest please? :)

9514 1404 393

Answer:

  28 feet

Step-by-step explanation:

Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...

  (25+r)² = r² + 45²

  625 +50r +r² = r² +2025

  50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides

  r = 28 . . . . . . . . . . . divide by 50

The radius of the pond is 28 feet.

Answer:

10.80

Step-by-step explanation:

Sales price x sales tax rate = sales tax

180 x .06 (6%) = 10.80

The amount of sales tax for the clothing that costs $180 is $10.8.

Given that,

Cost of a clothing = $180

We have to find the sales tax amount.

Sales tax is calculated as a percentage of the sales price.

Here,

Sales tax percentage = 6%

In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.

Sales tax amount = 6% of 180

                             = (6/100) 180

                             = 0.6 × 18

                             = 10.8

Hence the sales tax amount is $10.8.

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