Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?

Answers

Answer 1

Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.

How is the temperature change computed?

The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.

The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.

Days         Temperature     Change

Monday          23°C                  0

Tuesday          14°C (23 - 9)    -9

Wednesday    21°C (14 + 7)    +7

Thursday       25°C (21 + 4)    +4

Friday            20°C (25 - 5)    -5

Overall change =                  -3°C

= 20°C - 23°C = -3°C

Learn more about subtraction operations at https://brainly.com/question/4721701

#SPJ1


Related Questions

Miss Morgan is a science teacher she found that 30% of her 120 students are athletes and Mr. Gregory is a math teacher he found that 27 or 15% of his students are athletes

Answers

Wait what’s the question?
Answer I can do all ur work for u if u want (813) 819-5978

Answer:

Mrs Morgan = The part = 36, Mrs Gregory The

whole = 180

Step-by-step explanation:

Mrs Morgan:

The part because they listed the percent and the whole of her athletes.

I 120

30 = 100

You do Cross multiplication and get 36

Therefore, It's 36

Mrs Gregory:

The whole because they listed the percent and the part of her athletes.

27 15

= 100 You do cross multiplication and get 180

Therefore it's 180

What is the equation of this graph in slope intercept form

Answers

The slope-intercept form of the two straight lines in the graph of the question are;

y = 4y = 3What is the slope-intercept form of the equation of a straight line?

The slope-intercept form of the equation of a straight line is; y = m·x + c

Where;

m = The slope of the line

c = The y-intercept of the line

The values of the ordered pair of the points on the line are in the form (x, y)

The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;

Points on the blue line graph are (0, 4), (2, 4), and (4, 4)

The slope of the blue line graph is therefore;

m = (4 - 4)/(2 - 0) = 0

The y-intercept of the blue line graph is; c = 4

The slope-intercept form of the equation representing the blue line graph is therefore;

y = 0 × x + 4

y = 4

The slope-intercept form of the equation of the blue line graph is; y = 4

Points on the red line graph are; (0, 3), (2, 3), (4, 3)

The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0

The y-intercept of the red line graph is; c = 3

The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3

y = 3

The slope-intercept form of the equation of the red line graph, therefore is; y = 3

Learn more on the slope-intercept form of the equation of a straight line here: https://brainly.com/question/1091436

#SPJ1

8. if 9(x - y) = 30, find the following.
a) 18(x - y)
b) 6x - 6y
c) 9x-9y-9

Answers

Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.

Equation : what is it?

An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.

Here,

Given : 9(x - y) = 30,

or (x-y) =30/9

To find :  

a) 18(x - y) = ?

=> 2(9(x - y))

=> 2(30)

=> 60

b)6x - 6y = ?

=> 6(x-y) = 6(30/9)

=> 2*30/3

=> 20

c) 9(x-y)-9

=> 30 -9

=>21

Therefore , the solution of the given problem of  equation comes out to be a.60 , b.20 and c.21.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is
$19 and the price for 2 cheeseburgers and 4 cups of lemonade is $18. How much
does it cost for 1 cheeseburger and 1 cups of lemonade?
*

Answers

By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2

What is a system of linear equations?

A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.

Here is an example of a system of linear equations:

3x + 2y = 19

2x + 4y = 18

This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.

From the information provided, we know that:

3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)

2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)

To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.

3x + 2y = 19

we get

[tex]x=\frac{19-2y}{3}[/tex]

substituting x in equation 2x+4y=18

we get

 [tex]2(\frac{19-2y}{3})+4y=18[/tex]

[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]

substituting y in equation 3x+2y=19

[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]

The cost of one cup of lemonade is $2

The cost of one cheeseburger is $5

To know more about the system of linear equation, check out:

https://brainly.com/question/25858757

#SPJ1

The sum of a number and 9

Answers

Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

how long will it take me to finish 25 episodes anime with over 24 minutes each episode?​

Answers

Answer:

9.583 hours

Step-by-step explanation:

multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime

It would take you approximately 600 minutes, or 10 hours, to watch 25 anime episodes that are 24 minutes each. This is based on the assumption that you will watch the episodes back to back without any breaks. If you plan to take breaks or watch the episodes at a slower pace, it will take longer.

If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?

Answers

Step-by-step explanation:

I'm pretty sure it's 19200? or maybe im writing is wrong

Answer:

After 24 years population of the city will be 27000.

exponential function.

Step-by-step explanation:

in picture

An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________







(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________

Answers

a) The angular speed of the saw blade in radians per minute is;

460.77 radians per minute.

b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min

How to find angular and linear speed?

a) Angular speed is defined as the speed of the object in rotational motion

The formula of the angular speed is; ω = θ / t

where;

ω is the angular speed

θ is the angular rotation

t is the time taken.

We are given;

In one revolution, the angle made is 2π radian.

In 4400 revolutions = 2π * 4400 radian

= 8800π radians

We know that ,

1 hour = 60 minute.

Thus;

Angular speed = 8800π/60

= 460.77 radians per minute

b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;

s = rω

where;

s is the linear speed

r is the radius

ω is the angular speed.

radius = 8 ¼ -inch/2 = 33/8 inches

Conversion from inches to feet gives;

33/8 inches = 0.34375 ft

Thus;

s =  0.34375/460.77

s = 7.46 * 10⁻⁴ ft/min

Read more about Angular and linear speed at; https://brainly.com/question/29345009

#SPJ1

Pls help! Step by step:)

Answers

Answer:

x = 15

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

x = 15

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

From inspection of the given right triangle:

a = 9b = 12c = x

Substitute the given values into Pythagoras Theorem and solve for x:

[tex]\implies 9^2+12^2=x^2[/tex]

[tex]\implies 81+144=x^2[/tex]

[tex]\implies 225=x^2[/tex]

[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]

[tex]\implies x=15[/tex]

how to figure out how many data points are in a data set

Answers

Answer:

Step-by-step explanation:

read the data numbers

What are the exact values of a and b ?

CORRECT ANSWER

PROVIDE EXPLANATION

Answers

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

What is the sum of 15 and the product of 5 and v

Answers

Answer:

15+5=v

Step-by-step explanation:

Solve

1. Add the numbers

15+5 = v

20 = v

2. Move the variable to the left

20 = v

v = 20

3. Solution

   v = 20

Write a piecewise-defined function for this graph please!

Answers

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that passes through (-3, 1) and (2, -2) is given as,

(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)

y + 2 = - (3/5)x + 6/5

y = -(3/5)x - 4/5

The equation of the line that passes through (2, -2) and (4, 3) is given as,

(y + 2) = [(3 + 2) / (4 - 2)](x - 2)

y + 2 = (5/2)x - 5

y = (5/2)x - 7

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

100 POINTS!!! Please help.

Answers

Answer:

[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Step-by-step explanation:

Given expression:

[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]

Simplify:

[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]

[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]

[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

it's none of the above its 27.5


Before hibernation, a bear weighs 990 pounds. Its weight decreases
by 32% during hibernation. How much does the bear weigh when
it comes out of hibernation? Show your work.

Answers

Answer:316.8

Step-by-step explanation:

Answer:316.8

Step-by-step explanation:

Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.

Answers

The given polynomial is a factor of P(x) because P(-5)=0.

From the remainder theorem, how do you derive the factor theorem?

The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).

How can you tell if P(x) is a factor of X C?

The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.

To know more about Remainder Theorem visit:-

brainly.com/question/9160275

#SPJ1

To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?

(b) How much interest did Donna pay on the loan?

Answers

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

What exactly does a down payment mean?

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

To know more about down payment visit:-

brainly.com/question/29075522

#SPJ1

There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80

2
SEE ANSWERS
Unlocked badge showing an astronaut’s boot touching down on the moon
See what the community says and unlock a badge.






Log in to add comment




Expert-Verified Answer
10 people found it helpful
author link
amitnrw
Genius
40.2K answers
707.6M people helped
Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80

To keep reading this answer, download the free app
Join millions of students having fun with homework
4.6






VIEW ANSWER IN-APP


THANKS
10





4.5
(8 votes)
Find Math textbook solutions?

SEE ALL

Class 12

Class 11

Class 10

Class 9

Class 8

Class 7

Class 6

Class 5

Class 4

Class 3

Class 2

Class 1
ncert class 9 mathematics
NCERT Class 9 Mathematics
619 solutions
ncert class 8 mathematics
NCERT Class 8 Mathematics
815 solutions
ncert class 7 mathematics
NCERT Class 7 Mathematics
916 solutions
ncert class 10 mathematics
NCERT Class 10 Mathematics
721 solutions
NCERT Class 6 Mathematics
1230 solutions
ML Aggarwal - Understanding Mathematics - Class 9
2080 solutions
Xam Idea Mathematics 10
2278 solutions
ML Aggarwal - Understanding Mathematics - Class 8
2090 solutions
R S Aggarwal - Mathematics Class 8
1963 solutions
R D Sharma - Mathematics 9
2199 solutions
SEE ALL

Advertisement
Answer
4 people found it helpful
author link
anshugang
Expert
255 answers
76.6K people helped

UNLOCK


THANKS
4





4.0
(4 votes)
Advertisement
Still have questions?

FIND MORE ANSWERS


ASK YOUR QUESTION
New questions in Math
(3) How many square tiles of length 20 cm can be placed on a floor 7 m long and 4 m wide?​
find the 18th term of the Arithmetic progression given 5,8,11,14,...​
-4 se bade koi do purnank likhiye
A dealer sold three-fourths of his article at gain of 20% and the remaining at cost price. Can you find the gain earned by him in the whole
3/5 of 8kg of 350gm ​

Previous

Next
Ask your question

Company
About Us
Blog
Careers
Advertise with us
Terms of Use
Copyright Policy
Privacy Policy
Cookie Preferences
Help
Signup
Help Center
Safety Center
Responsible Disclosure Agreement
Community
Brainly Community
Brainly for Schools & Teachers
Brainly for Parents
Honor Code
Community Guidelines
Insights: The Brainly Blog
Become a Volunteer
Get the Brainly App

(opens in a new tab)
(opens in a new tab)
Brainly.in

WE'RE IN THE KNOW

(OPENS IN A NEW TAB)

Answers

Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.

Define mean.

Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.

Given:

Grades received:

X   f   fi   xi

0-20,     10  15   150

20-40,  30  18   540

40-60, 50 21   1050

60-80, 70 29 2030

80-100 90 p   90p

Total: 3770 + 90p + 83p

Mean (3770 plus 90 pi)/(83 plus pi) = 53

=> 3770 + 90p = 83 * 53 + 53p

=> 37p = 629

=> p = 17

17 students received scores in the 80–100 range.

f = 29 and modal class 60-80

minimum of modal class 60

=> 60 + 20 * 8/20

=>68

68 is the modal marks value.

=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300

=> 100/2 = 50

60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.

To know more about mean visit:

https://brainly.com/question/30094057

#SPJ1

Show that 100 divided by 20 is 5, using at least five daily life examples.​

Answers

Answer:

true

Explanation

1. if a man has a hundred apples and like to share between 20 men. this has to be equal.

5 to 1man.

•50 POINTS HELP• guessers will be reported.

If P=(4,7), Find: D2 (p)

Answers

The  answer is distance from P to l. is equal to square root of 2

Find the distance from P to l ?

Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)

Find the slope of line l we have the points (0, -3) and (7,4)

m=(4+3)/(7-0) m=7/7 m=1

Find the equation of the line perpendicular to the line l that passes through the point P

Remember that

If two lines are perpendicular, then the product of their slopes is equal to -1, the slope of the perpendicular line is

m=-1 .Find the equation in point slope form

y-y1=m(x-x1)

(x1,y1)=P(4,3)

substitute

y-3=-1(x-4)

y-3=-x+4

y=-x+7

m=1 (see the step 1)

and we have the point (0,-3) -----> y-intercept

so the equation of the line l is

y=x-3

Find the intersection point line l and its perpendicular line

y=x-3 ------> equation A

y=-x+7 -----> equation B

solve the system of equations

Adds equation A and equation B

2y=-3+7

2y=4

y=2

substitute in equation A

2=x-3 x=2+3 x=5

the intersection point is (5,2)

Find the distance between point (5,2) and point P(4,3)

Remember that, this distance is the distance from P to l.

the formula to calculate the distance between two points is equal to

we have

(x1,y1)=(5,2)

(x2,y2)=(4,3)

substitute in the formula

therefore

The  answer is distance from P to l. is equal to square root of 2

To learn more about point slope refer:

brainly.com/question/24907633

#SPJ1

Which of the following is most likely the next step in the series?
ООО
О А.
B.
О с.
O D.

Answers

Answer: C

Step-by-Step Explanation:
In the first image, you only see one line going to the right
In the second image, you see one line going to the right and one line going down
In the third image, you see one line going to the right and one line going to the left

The pattern is one line going to the right and a second line rotating around the center point. The reason you only see one line in the first image is because it is both overlapping lines.

The next step in the series is, shown in Option C.

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

There are three steps are shown.

Now, In first step, only one line shown.

In second line the line is left to first line.

And, So on.

Hence, The next step in the series is, shown in Option C.

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER

Answers

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

What is Elimination Method?

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

Learn more about Elimination Method here:

https://brainly.com/question/14619835

#SPJ1

Express The Ratio 36 : 42 In it's Simplest Form ? ​

Answers

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

What is the meaning of conditionally promoted in school​

Answers

Conditionally promoted is the status of a learner who did not meet expectations in at most two learning areas

PLEASE HELP

Consider the two circles shown


To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.


What are the values of t and s

Answers

Answer:

t is 13

scale factor is 7/4

What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?

Answers

Answer:

y = 1/3x - 7

Step-by-step explanation:

start with the point-slope form:

(y-y1) = m(x-x1)

substitute the values of (x,y) into the formula:

(y-(-5)) = 1/3(x-6)

y+5 = 1/3x - 2

now write in slope-intercept form:

y = 1/3x - 2 - 5

y = 1/3x - 7

Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X

Answers

For the given graph, the domain and range of the relation equals [-4, 6].

What in mathematics is a relation?

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.

To learn more about relations from given link

https://brainly.com/question/29236632

#SPJ1

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer is vertical and 128 degrees

Step by step

Vertical angles are opposite each other.
Vertical angles are congruent, or the same

Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D

Answers

The correct option regarding which of the sentences represents a trigonometric identity is given as follows:

b. None of the equations are identities.

What is a trigonometric identity?

A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]

The first relation is given as follows:

[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]

The tangent and secant equations are given as follows:

tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).

Hence:

4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)

4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)

4cos(x)tan(x)sec(x) = 4tan(x).

Meaning that the first statement is not an identity.

The second relation is given as follows:

[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

With a single denominator, we have that:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

The secant identity is given as follows:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

Hence:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]

Is also a false statement, hence neither is an identity and option B is correct.

Missing Information

The statements are given by the image presented at the end of the answer.

More can be learned about trigonometric identities at https://brainly.com/question/7331447

#SPJ1

Other Questions
The area of a sector of a circle is 18 pie cm. The radius of the circle is6 cm. The angle in the sector is Solve the following system of equations graphically on the set of axes below.y = x + 8y = -1/2x+5Plot two lines by clicking the graph. Click a line to delete it. What does r equal?Answer: r = ________ If the area of Square 3 is 80cm and the area of square 2 is 100cm, what is the area of square1 Summarise they called us enemy Nucleus plays an important role in cellular reproduction and cellular functions How do you solve a math problem step by step? Who was the longest-lived emperor in Chinese history? How many years did he reign? What increases genetic variance? A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season. Write f(x)=1/2x^2+1/2x-10 in intercept form. Then find the x-intercepts, the vertex, and the axis of symmetry of the graph of f. What were the steps that led America to enter World War I ? In Obergefell v. Hodges, the Supreme Court went against prior precedent to issue a ruling that seeks to make the US a more fair and just society. This is an example of:Judicial RestraintJudicial ActivismJudicial ReviewJudicial Neglect In the evolution of life on Earth, which one of the following traits must have evolved last (meaning most recently): O sexual reproduction; centromeres associated with DNA; O self-defense mechanisms; multicellularity; O locomotion; mitosis. Many scientists claim that the synthesis of the first organic molecules from inorganic precursors was possible because of the highly reducing atmosphere found on primitive Earth. Which of the following is an appropriate null hypothesis that could be used when investigating the claim 5. What is one sign of a wellness approach to life? A deep indentation found along the medial plane that separates the right and left cerebral hemispheres is called the Upon arriving in Russia, Joan Walker learned that companies in the country had a strong custom of employing members of the same family. Vandelay has an anti-nepotism policy, prohibiting the employment of members of the same family. Joan has heard that her new Russian secretary, Svetlana, may recommend her husband for a position in the company's production crew. Under the principles of ISCT, if Joan concludes that hiring family members does not violate any hypernorms, she should: O Not prohibit her secretary's husband from being considered for the production job in light of Russia's cultural norms, even though the norm of allowing members of the same family to be employed violates the company's stated policy. Prohibit her secretary's husband from applying because company policies should always prevail over the laws and customs of the country in which the company is doing business. O Not prohibit her secretary's husband from applying for the production job, but tip off the production foreman that the application should be rejected without serious review. Recommend that Vandelay discontinue doing business in Russia because the country's business-practice norms are inconsistent with those of American companies. ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that BCDCBE What is the significance of the bird of prey imagery?