Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog.

A long rectangle is the top section. 2 smaller rectangles are the bottom section.

The top section represents
.
The bottom section represents
.
The equation is

Answers

Answer 1

answer;

1. the top section represents, 23 pounds. (d)

2. the bottom section represents, 5 + 1/3f. (a)

3. the equation is, 23 = 1/3f + 5. (b)

hope this helps!

Answer 2

1/3x+5=23 is equation to represent the dogs’ weights and weight of Luisa' dog is 54 pounds.

What is Equation?

Two or more expressions with an Equal sign is called as Equation

Let f represent the weight of Luisa’s dog.

Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog.

Luisa' dog weight: x pounds

One-third of the weight of Luisa’s dog: 1/3x pounds

5 pounds heavier than one-third of the weight of Luisa’s dog : 1/3x+5

Fabiola's dos weight: 1/3x+5pounds that is 23 pounds.

1/3x+5=23

Subtract 5 from both sides

x/3=18

x=54 pounds

Hence, 1/3x+5=23 is equation to represent the dogs’ weights and weight of Luisa' dog is 54 pounds.

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Related Questions

The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:

All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)

a
All teachers in the school

b
All boys in each grade

c
All students in the speech club

d
All students in each grade

Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)

a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school

b
Yes, it is a valid inference because he asked all 26 students in his science class

c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class

d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
A researcher posts a magazine advertisement offering $30 in exchange for participation in a short study. The researcher accepts the first three people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)

a
It is not a valid sample because it is not a random sample of the population.

b
It is a valid sample because the first three people were selected to participate.

c
It is a valid sample because money was offered to participants.

d
It is not a valid sample because it is only a short study.

Answers

Answer:

Q1: D

Q2: D

Q3: B

Step-by-step explanation:

Q1: It says it in the question.

Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.

Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.

D, D,B, that’s what I think is right

pls help its over due

Answers

Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.

___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.

Answer:

The correct answer is 7

Which number describes the median of the data given in the table?
Responses
A 24.224.2
B 2323
C 2222
D 2828
Question 2
Which number describes the range of the data given in the table?
Responses
A 66
B 2323
C 2222
D 28

Answers

The number which describes the median of the data given in the table is 23. option B.

The number which describes the range of the data given in the table is 6. Option A.

What is the median and range of the data given in the table?

Arrange the average gas mileage in ascending order

22, 22, 23, 26, 28

The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.

The median is 23

Hence, the range of the data set refers to the difference between the highest and lowest data.

= 28 - 22

= 6

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At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084

Answers

Answer: 3,380

Step-by-step explanation: THIS IS MY GUESS.

Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.

Answer 3380
Explanation
We will find the ratio of 54 36 and 60 which is 9:6;10
So now total attendance is 8450.
So 8450 * 6 / 15= 3380

A decagon is a 10-sided figure.
Divide the decagon into triangles.

Answers

120 triangles can be divided from a decagon

Answer:

8 triangles

Step-by-step explanation:

Caden rolls two fair number cubes numbered from 1 to 6. He first defines the sample space, as shown below:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 6? (5 points)

a. 5 over 36
Selected:b. 6 over 36This answer is incorrect.
c. 7 over 36
d. 8 over 36

Answers

Answer:

B. 6 over 36

Step-by-step explanation:

As we are given the sample space, the events that sum to 6 are:

{(1,5), (2,4), (3,3),(4,2),(5,1)}

Let n(S) be the number of items in sample space

n(S) = 36

Let E be the event the sum is 6

Then,

n(E) = 6

So,

P(Sum of two cubes is 6) = n(E) / n(S)

= 6/36

So, the correct answer is:

B: 6/36

Answer:

B. 6 over 36

Step-by-step explanation:

HELPP!!

The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.

The probability is?

Type an integer or a fraction

Answers

Answer: 7/16

Step-by-step explanation:

Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.

What could thy answer be?

Answers

Answer: 36

Step-by-step explanation:

There are a total of 36 numbers, you can find that out by multiplying 6 x 6.

There is only 1 number pair can has a sum of 2 which is 1,1

Answer = 1,1 since 1,1 is the only pair that is able to add to become 2.

HELPP PLEASE!!!!!!

The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 2 at least once.

The probability?

Type an integer or a fraction

Answers

In the table, there are 16 possible outcomes shown. We want to find the outcomes that have at least one “2” in them. There are 4 outcomes with a “2” in them in the column of 2, and in the row of “2” there are 3 more outcomes. (excluding the outcome we already counted)
This means there are 7 outcomes that have at least one “2” in them, and there are 16 total outcomes.
That means the probability of the spinner landing on 2 at least once is 7/16.

whats the surface area? sorry if im annoying

Answers

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Step-by-step explanation:

SA=2B+Ph

Find the area of each face. Add up all areas.

The stem-and-leaf plot below shows the percentage scores on a recent sixth-grade science test.

Use the stem-and-leaf plot to determine the mode of the test scores.

Answers

If 8 | 2 = 82%, then the mode is 74%.

7 | 4 appears the most often.

Cube Roots of Negative Numbers.
Thank you!♡

Answers

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

PLS HELP MEEE All of the number sentences are true except.

7 3 = 343
4 2 = 16
6 3 = 18
11 2 = 121

Answers

Answer:

I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!

The answer is 6 3= 18

7x7x7=343
4x4=16
6x6x6=216
11x11=121

Compare the two groups of data. Which statement is true?
A. On average basketball players are 4 inches taller than baseball players
B. On average basketball players are 9 inches taller than baseball players
C. On average basketball players are 2 inches taller than baseball players
D. On average basketball players are 3 inches taller than baseball players

Answers

Answer: A

Step-by-step explanation:

If you graph the difference, it is 4 inches since you are looking at the middle of the graph

Your answer would be A. On average basketball players are 4 inches taller than baseball players

Identify all of the quadratic functions

Answers

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1

100 PTS PLS HELP PLS PLS PLS PLSPLSPLPLSSPLSPLSLS

Answers

Answer:

D

Step-by-step explanation:

Lets go through each answer choice and check if it is correct.

A: False. 50% of 70 is not 31.

B: False. 17% of 70 is not 17.

C: False. The fraction 8/70 does not simplify to 2/25.

D: Correct. The fraction 14/70 simplifies to 2/10.

Answer:

The answer is D, On average, 2 out of 10 adults visited the museum most frequently.

Step-by-step explanation:

You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.

Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
Responses
A 39.139.1
B 44.044.0
C 39.039.0
D 35.235.2
E 39.2

Answers

Answer:

 

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

Which of the following is a statistical question that can result in numerical data?

How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?

Answers

Answer: First, Second and Third.

Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.

The students can do 10 miles each week.

Your grandparents could have 20 pets.

The data can be plotted into a graph and this would count as statistical/numerical data.

Write each expression without the absolute value symbol. |7-(12-x)|

Answers

The expression without the absolute value symbol is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

What is the absolute value function?

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.

The expression for this problem is given as follows:

7 - (12 - x).

The critical value of x is obtained as follows:

7 - (12 - x) = 0

7 - 12 + x = 0

x = 5.

Hence the expression is given as follows:

If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.

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1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm?

Introduction to Perimeter & Area of Polygons

Answers

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Work out the area of the trapezium
(some please help, i forgot how to do this )

Answers

Answer:

48cm

Step by step:

The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.

Answer:

The area of the Trapezium is 48cm².

Step-by-step explanation:

A trapezium has a pair of Parallel Lines.

Let’s mark the line that is on the top as A and the bottom one as B.

Length of line A (Base 1) = 7cm

Length of line B (Base 2) = 9cm

Height of Trapezium = 6cm

Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height

                                                 = {( 7cm + 9cm ) / 2} * 6cm

                                                 = ( 16cm / 2 ) * 6cm

                                                 = 8 cm * 6cm

                                                 = 48cm²

The area of the Trapezium is 48cm².


Hope my answer helps you ✌️

Mark BRAINLIEST

PLS HELPPPPPP *100 POINTS***

Answers

Answer:

6.9 if a triangle pyramid

Step-by-step explanation:

If triangle pyramid,

1/3(b)(h)

1/3(200)(h)=460

h=6.9

if it is a pyramid then 6.9

Please help I'll give u brainleist!

Answers

Answer:

Step-by-step explanation:

probability you roll a one is 1/6

probability you roll an 8 is 0/6

add them and the answer is 1/6

The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8

Answers

Answer: 8 people will go to e

Step-by-step explanation: it goes in order

8 goes to each I’m pretty sure

PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST


1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?

2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?

3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?

4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram

5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?

6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?

7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle

8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?

9. What is the area of a square with a perimeter of 44 mm?

10. What is the area of a square with a perimeter of 55 cm

Answers

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

E e. E e e e er e. E. E. E e e e e e enenendind d. Basically luffy’s Brain is dying

Help Please
find the solution to this system of equations

Answers

Answer:

-8x + 4y = 24 ----> 2x - y = -6

-7x + 7y = 28 ----> -x + y = 4

-------------

x = -2, y = 2

X= -2 y= 2 is the answer

Find the surface area of the square pyramid shown. Label the net to help you.


I have to show work

Answers

Answer: 40 inches squared

Labels are in the pictures

Step-by-step explanation:

To find the surface area, find the area of each side.

Square (base) : side * side = 4*4 = 16

Triangle (sides) : (base * height)/2

Assuming each side is a isosceles triangle, the base 4/2 = 2

(2*6)/2 = 12/2 = 6

Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.

6*4 + 16 = 24+16 = 40

can someone help me please? I know that I will be using the theoretical probability equation, but I just don’t know what to do

Answers

Answer:

Step-by-step explanation:

Hi there,

We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.

White socks: 2 pairs x 2 = 4 total white socks

Black socks: 4 pairs x 2 = 8 total black socks

Blue socks: 1 pair x 2 = 2 total blue socks.

Now, you add up the total amount of individual socks in the drawer.

4+8+2 = 14 socks.

We are trying the find the probability that he is going to pick a black sock.  The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.

8 black socks  /  14 total socks

Now that we have this fraction, we need to simplify it.  The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).

What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.

I hope this helps, let me know if you have questions :)

the table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.

The probability is?

LOOK AT THE PICTURE AND PLEASE HELP!!

Answers

Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.

Step-by-step explanation:

100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!

Answers

Answer: x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees.

This means that

x+(2/3)x=18


The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.

Answer:

x=108 degrees

Step-by-step explanation:

We know that since ST is a line, it equals a total of 180 degrees.

Let's write an equation:

[tex]180=x+\frac{2}{3}x[/tex]

simplify

[tex]180=\frac{5}{3} x[/tex]

divide both sides by 5/3

108=x

So, x=108 degrees.

Hope this helps! :)

Other Questions
a(n) __________ is any class from which attributes can be inherited. Assume the United States economy is in short-run macroeconomic equilibrium at an output level greater than potential output. do any of the organisms have the same number of differences from human cytochrome c? in situations like this, how would you decide which is more closely related to humans? The menu at a lunch counter includes a variety of sandwiches, salads, and drinks. The menu also allows a customer to create a "trio," which consists of three menu items: a sandwich, a salad, and a drink. The price of the trio is the sum of the two highest-priced menu items in the trio; one item with the lowest price is free. For 4-6 find the measure of each segment in kite ABCD if AE=7 AB=12 and DE=22 Round to the nearest tenth Real World Scenario: Sara and Kim are both three years old. Both have recently talked to their parents about doing chores around the house to earn some money. Both Sara and Kim's parents have agreed to start giving them a constant allowance every week. Sara currently has $1 in her piggy bank. Her parents have agreed to give her $.60 per week for doing her chores. Kim currently has $2.20 in her piggy bank. Her parents have greed to give her $.20 per week for doing her chores.What equation and graph help support scenario? Sodium hypochlorite (NaClO) is used as a common disinfectant. It decomposes in a first-order process with a rate constant of 0.10 s1. How long would it take for an initial concentration of 0.20 M to decrease to 0.07 M? briefly explain why you are applying to this specific position and how your experience, enthusiasm and skills relate to the role. by reducing the discount rate, the central bank the supply of money. this type of policy is known as monetary policy. T/F. The lowest contribution margin per scarce resource is the most profitable. Describe one cause of the urbanization of Texas that occurred during or after World War II cite one reason why ceramic materials are, in general, harder yet more brittle than metals. Rank the following steps of blood flow starting and ending the cycle with the circulatory blood entering the right atrium.Blood moves up through the pulmonary artery. Blood circulates to the body, becomes deoxygenated, and returns via the veins. Blood reaches the lungs and receives oxygen. Blood returns to the left atrium. Blood passes through a valve and enters the right ventricle. Blood passes through a valve and enters the left ventricle. Blood moves through the aorta. Deoxygenated blood enters the right atrium from the venae cavae. how does the phrase protected by a marble wall in paragraph 7 affect the mood of passage 1? Find dr/d theta for r = cos theta cot theta. Choose the correct answer. A. dr/d theta = -cos^2 theta (csc theta + 1) B. dr/d theta = -cos theta (csc^2 theta + 1) C. dr/d theta = -cos theta (csc theta + 1) D. dr/d theta = -csc theta (cos^2 theta + 1) Use the dot product to determine whether the vectors areparallel, orthogonal, or neither. v=3i+j, w=i-3jFind the angle between the given vectors. Round to the nearest tenth of a degree.u=4j,v=2i+5jDecompose v into two vectorsBold v Subscript Bold 1v1andBold v Subscript Bold 2v2,whereBold v Subscript Bold 1v1is parallel to w andBold v Subscript Bold 2v2is orthogonal tow.v=2i 3j,w=2i+j Solve the recurrence with initial condition a0 = 5, and relation an = 3an1 (n 1). The following table gives the total area in square miles (land and water) of seven states. Complete parts (a) through (c).State Area1 52,3002 615,1003 114,6004 53,4005 159,0006 104,4007 6,000Find the mean area and median area for these states.The mean is __ square miles.(Round to the nearest integer as needed.)The median is ___ square miles. .If a scientist wants to study the generation of ATP from macromolecules via glycolysis in a cell-free extract, which kind of molecule is MOST important to have in that extract?A. proteinB. lipidC. carbohydrateD. glucose VJessica deposited $3,500 into a retirement account. Jessica earned 3. 5% annual simple interest on the money in the account. She made no additional deposits or withdrawals. What is the amount of interest earned on her retirement account in dollars and cents at the end of 7 years? Record your answer in the boxes to the right. Be sure to use the correct place value