Question #8
Solve for x
04
01
03
2
9
7x
8
10x

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

Read more about flashbacks here:
https://brainly.com/question/26179419

#SPJ1

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

"How many sticks of gum can you eat at one time?" is the finest and most right response. Then the correct option is A.

A statistical question is one that may be addressed by gathering data from several sources.

A statistical question is one that may be addressed by gathering data and in which the data is likely to vary. This is not the same as a question with a predetermined response.

The first choice or letter A, "How many sticks of gum can you eat at one time?" is the finest and most right response among the options supplied by your query.

More about the statistical questions link is given below.

https://brainly.com/question/11253919

#SPJ1

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

for such more question on mean

https://brainly.com/question/14532771

#SPJ8

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

144

Step-by-step explanation:

Following the order of operations PEMDAS:

36 ÷ 2² × 4²

Carry out the exponents first:

⇒ 36 ÷ 4 × 16

Now carry out the operations from left to right:

⇒ 9 × 16 = 144

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

Learn more on trigonometric identity here;

https://brainly.com/question/24496175

#SPJ1

Answer:

7+1- -7

Step-by-step explanation:

i just guessed :)

Answer:

1.2 trains for $25.

Step-by-step explanation:

For 50 dollars, you could get 2.4 trains with the $25 dollar option.

For 90 dollars (an extra 40 dollars!) you only get 0.2 more trains.

If you add another $25 to the current $50 on the other option, you get 3.6 trains.

So, 1.2 trains for $25 must be the better option as you can get an extra 1 train for 15 dollars less!

Hope this helps!

Also, who buys 0.2 or 0.6 of a train? -_-

Answer:

uh it think 20 hours

Step-by-step explanation:

12+8 not sure -_-

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

Read more on volume of prism here: brainly.com/question/21012007

#SPJ1

Answer:

20, 11

Step-by-step explanation:

x=first Number

x-9=second number

above two added together=31 or

x+(x-9)=31

2x=40

x=20 first number

x-9=second number

20-9=11 second number

20 (first number) + 11 (second number)=31

31=31

Answer:

Hope this helps ;)

Step-by-step explanation:

If you stretch the square root function F(x)=√x vertically by four units, the new function can be represented by the equation:

G(x) = 4 * √x

This can be written as:

G(x) = 2 * √(2x)

Alternatively, you can write the equation as:

G(x) = √(4x)

Either way, the vertical stretch of the square root function by four units is given by the equation G(x) = 4 * √x or G(x) = 2 * √(2x) or G(x) = √(4x).

9514 1404 393

Answer:

  (8, 22)

Step-by-step explanation:

For endpoints A and B, and midpoint M, the relationship of interest is ...

  B = 2M -A

  B = 2(3, 10) -(-2, -2) = (6+2, 20+2)

  B = (8, 22)

The other end point is (8, 22).

The triangles given are of the same shape and similar.

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.

Given are two triangles, we need to determine the relation between them,

So, we are given that corresponding angles are congruent, in both the triangles,

According to the definition of similar figure, we can say that the shapes are same and triangles are similar.

Hence, the triangles given are of the same shape and similar.

Learn more about similar triangles, click;

https://brainly.com/question/14926756

#SPJ7

if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formular for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

Where A is final amount, P is initial principal balance, r is interest rate, n is  number of times interest applied per time period and t is number of time periods elapsed.

Given the data in the question;

We substitute our given values into the expression above.

A = P(1 + r/n)^(n*t)

5600 = 4000(1 + 0.055/1)^(1*t)

5600 = 4000( 1.055 )^t

( 1.055 )^t = 5600 / 4000

( 1.055 )^t  = 1.4

We take log of each sides

0.02325t = 0.1461

t = 0.1461 / 0.02325

t = 6.3

Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

Learn more about compound interest here: https://brainly.com/question/27128740

#SPJ1

Answer:

11.10

Step-by-step explanation:

√123.3 = 11.10405

Round.

11.10405 → 11.10

Best of Luck!

Answer:

base = 19.1 km

Step-by-step explanation:

start with formula:

A = bh/2

plug in what's known:

114.6 = 12b/2

114.6 = 6b

b = 114.6/6

b = 19.1

Answer:

y= -4/2x+ -4

Step-by-step explanation:

looked at the graph

Answer:

this is the ans

Step-by-step explanation:

hope it helps!!!

Answer: B. 2(x - 3)(x - 4)

Step-by-step explanation:

Answer:

5+x

Step-by-step explanation:

the variable x represents the number

five more than the number, meaning we have to add 5 to the number

5+x

Answer: x+5

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

^

The ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h

= 2(√(V/2π))/(2√(V/2π)) = 1

What is area ?

Area is a measure of the size of a two-dimensional surface or shape. It is the amount of space inside a closed boundary, such as a square, rectangle, circle, or any other shape.

A = 2πrh + 2πr²

where r is the radius of the can, h is the height of the can, and π is a constant (approximately equal to 3.14).

The volume of the can is given by:

V = πr²h

We want to find the ratio of diameter to height that minimizes the surface area of the can while holding a specific volume. We can use the volume formula to solve for one variable in terms of the other:

h = V/πr²

Substituting this expression for h into the surface area formula, we get:

A = 2πr(V/πr²) + 2πr²

Simplifying, we get:

A = 2V/r + 2πr²

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:

dA/dr = -2V/r² + 4πr

Setting this equal to zero, we get:

-2V/r² + 4πr = 0

Solving for r, we get:

r = √(V/2π)

Substituting this value of r back into the expression for h, we get:

h = 2√(V/2π)

Therefore, the ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h = 2(√(V/2π))/(2√(V/2π)) = 1

To learn more about Area from given link.

https://brainly.com/question/27683633

#SPJ1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Geneva to Sparks

2.5 in

Sparks to Melville

4 inches

Scale

1 in = 15 miles

Distance = ?

Step 02:

Distance :

Scale:

1 in = 15 miles

Geneva to Sparks

2.5 in * ( 15 miles / 1 in) = 37.5 miles

Sparks to Melville

4 inches * (15 miles / 1 in) = 60 miles

Total distance = 37.5 miles + 60 miles = 97.5 miles

That is the full solution.

Answer:

Feet / per second

4 feet/per second

Step-by-step explanation: