Find the twenty-seventh term of the arithmetic sequence 21, 18, 15, ...

Answer: m angle ABC = 44

m angle CAG = 54

Step-by-step explanation:

First, we have to find the percent that went to social issue on saturday

So, with this we can calculate the Sunday amount

399 people are expected to go to Social Issues

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

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Answer:

does this help in any way?

Answer:

13 days.

Step-by-step explanation:

What I did was I took 331.50 and divided that by the amount of each meal.

331.50/8.50= 39 meals

Then divide the number of meals by the number of meals per day.

39/3= 13 days.

Hello!

453 millions

= 453 000 000

Step-by-step explanation:

I don't see all the options.

I only see the options under "angles", as it seems.

anyway, the way to prove this is :

the official definition of similar triangles is :

two triangles are said to be similar if their corresponding angles are congruent (and the corresponding sides are in proportion - but that is automatically true, when all 3 angles are matching).

so, if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. we know this, because if two angle pairs are the same, then the third pair must also be equal (remember, the sum of all angles in a triangle is always 180°). When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

now, we look at the 2 triangles.

the angles QPR and STR are congruent (the same size).

we know also the angles QRP and SRT : they are both 90° and therefore congruent.

and that means that also the third angles PQR and RST are equal and therefore congruent (due to the 180° sum rule).

so, we have all 3 pairs of angles to be congruent, and the two triangles are therefore similar.

Answer:

510.1

Step-by-step explanation:

convert m to km by dividing by 1000 and add all of the numbers together

Answer:

See explanation below.

Step-by-step explanation:

1. (-1, -1) and (2, -2)

  m = -2+1 / 2+1

  m = -1/3

2. (-1, -4) and (0, -1)

  m = -1+4 / 0+1

  m = 3/1

  m = 3

3. (-4, 0) and (-2, -3)

  m = -3-0 / -2+4

  m = -3/2

4. (2, 0) and (0, -3)

  m = -3-0 / 0-2

  m = -3/-2

  m = 3/2

5. (-1, 2) and (-4, -3)

  m = -3-2 / -4+1

  m = -5/-3

  m = 5/3

6. (4, 3) and (1, -4)

  m = -4-3 / 1-4

  m = -7/-3

  m = 7/3

She will have 10 apples because there is a 2:3 ratio.

Answer:

10 apples.

Step-by-step explanation:

The exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

Given that sin θ = 12/13 and θ is in quadrant I, we can determine the values of the remaining trigonometric functions as follows:

cos θ:

In quadrant I, cos θ is positive. We can use the Pythagorean identity \(sin^2 θ + cos^2 θ = 1\) to find the value of cos θ:

\(cos^2 θ = 1 - sin^2 θcos^2 θ = 1 - (12/13)^2cos^2 θ = 1 - 144/169cos^2 θ = (169 - 144)/169cos^2 θ = 25/169\)

Since cos θ is positive in quadrant I, we take the positive square root:

cos θ = √(25/169)

cos θ = 5/13

tan θ:

tan θ is the ratio of sin θ to cos θ:

tan θ = sin θ / cos θ

tan θ = (12/13) / (5/13)

tan θ = 12/5

csc θ:

csc θ is the reciprocal of sin θ:

csc θ = 1 / sin θ

csc θ = 1 / (12/13)

csc θ = 13/12

sec θ:

sec θ is the reciprocal of cos θ:

sec θ = 1 / cos θ

sec θ = 1 / (5/13)

sec θ = 13/5

cot θ:

cot θ is the reciprocal of tan θ:

cot θ = 1 / tan θ

cot θ = 1 / (12/5)

cot θ = 5/12

Therefore, the exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

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Answer:

Step-by-step explanation:

What you can do in this case is the following rule of three to find the result:

1 light year ---> 5.88 * 10 ^ 12 miles

3.2 * 10 ^ 2 light year ---> x

Clearing x we have:

x = ((3.2 * 10 ^ 2) / (1)) * (5.88 * 10 ^ 12)

x = 1.88 * 10 ^ 15 miles

answer:

In scientific notation, approximately it is 1.88 * 10 ^ 15 miles

A total of 30 golf balls are there in the bag that weighs 1110 grams.

A total of 69 golf balls weights 2553 grams in a bag.

It is asked that how much golf balls does make 1110 grams of weight.

Let us say that the weight of one ball is X.

So, Using unitary method,

We can write,

69 times mass of one golf ball = 2553 grams.

69X = 2553

X = 2553/69

X = 37 grams.

Hence, the weight of one ball is 37 grams.

Now, let us say that Y balls weights 1110 grams,

So, we can write,

Y time weight of one ball = 1110

37Y = 1110

Y = 1110/37

Y = 30.

Hence, 30 golf balls will weight 1110 grams.

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Answer:

30

Step-by-step explanation:

Answer:

549.5 cm³

Step-by-step explanation:

___________________________________________________________

FORMULA USED IN THE QUESTION :-

Volume of a cylinder whose height is 'h' and radius is 'r' = \(\pi \times r^2 \times h\)

___________________________________________________________

According to the question ,

Height of cylinder (h) = 7 cm

Radius of cylinder (r) = 5 cm

Volume of cylinder = \(\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3\)

Answer:

12

Step-by-step explanation:

thet u go!!!!

Answer:

C. Customers' brains tend to notice the first digit first

Hope this helps!

Today, a detergent was promoted at $7.99 in a supermarket shop. Because customers' brains tend to notice the first digit first, the business decided to market the detergent in this way.

Brand promotion uses a variety of tools and techniques to sell your brand while showcasing a company's character, values, and objectives.

It may not necessarily entail outright advertising for the goods or services provided, but it always works to get people to support the brand.

The store chooses to advertise the detergent this way so that customers' brains tend to notice the first digit first.

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-12x+3y=24

(get y alone on the left)

3y=12x+24

(divide by 3)

y= 4x+8

Answer:

If you want to know laps per minute it is 5 laps / 6 min = 0.83 laps per min

Step-by-step explanation:

Answer:

  (d)  vertical angles theorem

Step-by-step explanation:

Vertical angles have a common vertex and are formed from opposite rays.

__

Angles RQT and PQS share vertex Q, Rays QR and QP are opposite, creating line RP. Rays QT and QS are opposite, creating line ST. Hence angles RQT and PQS are vertical angles. The vertical angles theorem says those angles are congruent.

The area of the regular hexagon is 509.2 square units (to the nearest tenth).

The formula for the area of a regular polygon is:

\(\boxed{\text{Area}=\frac{\text{r}^2\text{n sin}\huge \text(\frac{360^\circ}{\text{n}}\huge \text) }{y} }\)

where:

From inspection of the given regular polygon:

Substitute the values into the formula and solve for area:

\(\text{Area}=\dfrac{14^2\times6\times\text{sin}\huge \text(\frac{360^\circ}{6}\huge \text) }{2}\)

        \(=\dfrac{196\times6\times\text{sin} (60^\circ)}{2}\)

        \(=\dfrac{1176\times\frac{\sqrt{3} }{2} }{2}\)

        \(=\dfrac{588\sqrt{3} }{2}\)

        \(=294\sqrt{3}\)

        \(=509.2 \ \text{square units (nearest tenth)}\)

Therefore, the area of the regular hexagon is 509.2 square units (to the nearest tenth).

The best estimate of the average change in mood rating linked with an additional hour spent playing sports is 1.5 points, according to the presented linear function.

Modeling a linear function involves:

y = mx + b

The slope, or m, measures how quickly y changes when x changes by one.

The value of y at x = 0 is represented by the y-intercept, or b.

In the given problem

The amount of time they invested in sports is x.

Their mood score is y.

The required equation is ,

y =1.5 + 5

Given that the slope is m = 1.5, the best estimate of the average change in mood rating resulting from an extra hour spent playing sports is 1.5 points.

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Answer:

x=3.6, y=-2.5

Step-by-step explanation:

we have:

5x+4y=8

10x-4y=46

add across to get rid of y (5x+10x=15x, 4y+(-4)=0y, 8+46=54:

15x=54

dividing both sides by 15

x=3.6

input x=3.6 into any of the first two equations, I'll use the first:

5x+4y=8

5(3.6)+4y=8

18+4y=8

subtract 18 on both sides

4y=-10

y=-10/4=-2.5

y=-2.5

Answer:

a = 5.07

Step-by-step explanation:

Here, we want to get the value of the side marked a

What we have is a right triangle

so, to find the value of a, we are to use the correct trigonometric ratio

The angle given faces a, which makes a the opposite

the side measure faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the two is the sine

The sine is the ratio of the opposite to the hypotenuse

mathematically;

sine 25 = a/12

a = 12 * sine 25

a = 5.07

The approximate volume of the circular holding tank is 14.3 cubic meters.

To find the volume of the circular holding tank at the sewage treatment facility using the formula V = Ch/47, where V is the volume, C is the circumference, and h is the height. You've provided the height as

h = 3.2 meters and the circumference as C = 210 meters.

To find the approximate volume, follow these steps:

1. Plug in the given values for C and h into the formula:
V = (210 meters) × (3.2 meters) / 47

2. Multiply the circumference and height together:
V = 672 meters² / 47

3. Divide the result by 47:
V ≈ 14.3 cubic meters

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Therefore , the solution of the given problem of arithmetic mean comes out to be  option A an=3+2(n-1).

The usual values of a list are determined by adding up every single integer one of the items on the list, which are frequently referred to as the organization's objectives. The number of list items with the highest abundance is then used to adjust these average values. Mathematical growth trends are similar. The number 21 turns into seven by adding three to the true means of the digits 5, 7, and 9, which is 4.

Here,

The following is the formula for the general word "an" in an arithmetic sequence:

=> a = a1 + (n - 1)d

where the first term is denoted by a1, the term number is n, and the common difference is d.

A1 = 3 and A11 = 23 are provided. To determine the common difference, we can use the method for the eleventh term:

=> a11 = a1 + (11 - 1)d

=> 23 = 3 + 10d

=>  d = 2

Inputting this number of d into the general term's formula yields the following results:

=> a = 3 + (n - 1)2

The right response is therefore: an=3+2(n-1).

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Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)