The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x. ​

Answers

Answer 1

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7


Related Questions

Please Help. It would be very helpful to me

Answers

Answer:

A) 2 inches

Step-by-step explanation:

which value from the set{2,14,16,63}makes the equation n-7=9 true

Answers

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

The base of triangle M is four times the base of tri-
angle N, while the height of triangle N is half the
height of triangle M. The area of triangle M is how
many times that of triangle N ?

Answers

Answer:

two times

Step-by-step explanation:

ΔM:  let 'h' = height; let '4b' = base

ΔN:  let 'h/2' = height; let 'b' = base

Area (ΔM) = 2bh

Area (ΔN) = bh

Consider the function and its inverse.
f(x) = x2 + 4 and f-1(x) = -x - 4
When comparing the functions using the equations, which conclusion can be made?
The domain of f(x) is restricted to x 20, and the domain of f'(x) is restricted to x2 0.
The domain of f(x) is restricted to x 20, and the domain off(x) is restricted to xs 0.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x2 4.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x s 4.

Answers

Step-by-step explanation:

it might be the last one

may it helped u

Here are 2 right triangles.
9
S
у
a. Explain how you know the right triangles are similar.
Type your response in the space below.
В І о

B

Answers

Answer:

Step-by-step explanation:

They are similar because they have two respective congruent angles

PLEASE HELP ASAP IM TIMED!!
What is the standard form of y=2(x-3)(x+5) and show your work

Answers

Answer:

o really sis/bro hsgsmhsndjd

Y = mx+c

y=(2x-6)(x+5)
y= 2x^2 + 10x -6x -30
y= 2x^2 + 4x -30

What is the value of X?

What is the relationship between the marked angles?:

Linear pair
Exterior angle of a triangle
Corresponding angles
Vertical angles
Alternate interior angles

Answers

Answer:

Vertical Angles

x = 21

Step-by-step explanation:

Vertical Angles

4x + 3 = 87

4x = 84

x = 21

Which expression is equivalent to the given expression?
3r2 + 53 - 7(x2 + 4)
A.
x2 + 4
B. -412 + 51 - 4
OC.-4.2 + 51 – 28
D.
12 + 28

Answers

Answer:

C. - 4x^2 + 5x - 4

Step-by-step explanation:

just expand the equation and you'll get C

Answer:

O C.   [tex]-4x^2+5x-28[/tex]

Step-by-step explanation:

[tex]3x^2+5x[/tex] -7(x^2+4)      Distribute

[tex]3x^{2} +5x[/tex] -7x^2-28       Multiply - 7 by 4

3x^2 [tex]+5x[/tex] -7x^2 [tex]-28[/tex]   Combine Like Terms

-4x^2 [tex]+5x-28[/tex]           Final Answer

A cylindrical flower vase has a diameter of 6cm and a volume of 171cm^(3)
Determine the height of the vase.

Answers

Answer:

h = 6.05 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

Pi, π = 3.14

Radius, r = diameter/2 = 6 cm/2

= 3 cm

Height, h = ?

Volume if the cylinder = 171 c ³

Volume of a cylinder = πr²h

171 = 3.14 * 3² * h

171 = 3.14 * 9 * h

171 = 28.26 * h

171 = 28.26h

h = 171/28.26

h = 6.0509554140127

Approximately,

h = 6.05 cm

FIND BD !!!!!!!!!!!!!!!!!!!!

Answers

BD = 2x-4

But it's also BE - CE + CD

BE is 3x-1

CE is 2x-3

CD is 2

so

BD = 3x-1 -(2x-3) +2

simplified

BD = 1x +4

since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal

2x -4 = 1x +4

let's solve for x and that put it into either of the 2 equations.

2x -4 = 1x +4

subtract 1x on both sides

x -4 = 4

add 4 on both sides

x = 8

substitute x for its value in 2x -4 = 1x +4

(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).

2*8 -4 = 1*8 +4

12 = 12

seems true

BD is safely 12

Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15

Answers

Answer:

The answer is D (6).

hope this helps!

Ok if I have 159 booklets to do and I do 12 in a year how many years will it take to finish all the booklets?

Answers

Answer:

13.25 years

Step-by-step explanation:

Take the number of booklets and divide by the number of booklets per year

159/12

13.25 years

Which exponential equation correctly rewrites this logarithmic equation? log6 18=x

Answers

Given:

The logarithmic equation is:

[tex]\log_618=x[/tex]

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

[tex]\log_bm=x\Leftrightarrow m=b^x[/tex]

We have,

[tex]\log_618=x[/tex]

Here, [tex]b=6, m=18[/tex]. Using the above property of logarithm, we get

[tex]18=6^x[/tex]

Therefore, the required exponential equation is [tex]18=6^x[/tex].

Answer:

the awnser is acctully 6^x =18

Step-by-step explanation:

Select the correct answer.


Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?

A.
Shape 1 and shape 2 are not congruent.

B.
A translation will prove that shape 2 is congruent to shape 1.

C.
A rotation and a translation will prove that shape 2 is congruent to shape 1.

D.
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Answers

you need to put a photo of the shapes.

A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63° with the wall ,find the distance between the foot of the ladder and the wall

Answers

Answer:

13.62 m

Step-by-step explanation:

We are to determine the value of the adjacent side given the value of the hypotenuse

we would use cos to determine this value

cos 63 = adjacent / hypotenuse

0.45399 = x / 30

x = 30 x 0.45399 = 13.62

Cecily claims that the equation y = mx + b, where b is a real number,
represents a function whose graph is a line. Which statement BEST
classifies this claim?

Cecily's claim is true only when b is zero.

Cecily's claim is true for all values of b.

Cecily's claim is not true for any value of b.

Cecily's claim is true only when b is not zero

Answers

Answer:

Cecily's claim is true for all values of b.

Step-by-step explanation:

Cecily's claim is true for all values of b.

If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).

Cecily’s claim is true for all values of b
I know someone already answered but I needed the points

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

In the equation, 5 is subtracted from both the sides

what is 2(j-4)>=-6? solve the inequality for j

Answers

Answer:

J >= 1 or j is greater than or equal to 1

Step-by-step explanation:

Write equation:

2(j-4)>= -6

1. Distribute:

2j - 8 >= -6

2. Add 8 on both sides:

2j -8 +8 >= -6 + 8

2j >= 2

3. Divide 2 on both sides:

2j/2 >= 2/2

j >= 1

There ya go! Hope this helps, have a good night or day! ;)

HELPPPP Trigonometry QUESTIONS

Answers

Answer:

Step-by-step explanation:

for the right side :

its a triangular prism and the volume is 4 x 8 x 10 = 320.

the SA is 10x4 divided by 2 x 2which is just 40.

8x5x2= 80 and

10x10= 100,  so

the SA of the right figure is 220 in^2

In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.

Answers

Answer: 237,500 total decrease

Step-by-step explanation:

Substitute 8 for x and evelute the expression below (x-+6)-2 ?

Answers

( -8 + 6 ) - 2
= - 4
(8- + 6 ) - 2
= 0

Please please help me
I really need help

The questions are
1)Calculate the perimeter of this figure.
2)Calculate the area of the shaded region.

Answers

Answer:

(1) 102.55 in

(2)  316.69 in²

Step-by-step explanation:

Applying (1)

a² = b²+c².............. Equation 1

Given: a = 25 in, b = 20 in,

25² = 20²+b²

b² = 25²-20²

b² = 225

b = √225

b = 15 in

b = diameter of the semicircle

The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in

Therefore,

P = 37+25+17+23.55 = 102.55 in

(2) Applying,

A = Area of the tripezium- area of the semi circle

A = [h(a+b)/2]-πh²/8.............. Equation 2

Given; h = 15 in, a = 17 in, b = 37 in

A = (15(17+37)/2)-(3.14×15²/8)

A = 405-88.31

A = 316.69 in²

1
If f(x) = 3x + 2 and g(x)=x+1, which expression is equivalent to (fog)(x)?

Answers

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

Answer:

3(x+1) + 2

Step-by-step explanation:

what is the first 50 digitizes of PI

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196

Step-by-step explanation:

1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9

What is the solution to the system of equations graphed below?

Answers

(1, 2) because that's where the lines intersect!

Answer: (1, 2)

Step-by-step explanation:

The solution of the systems of equations graphed can be found where the two linear lines intersect. In this graph, the lines intersect at 1 in the x-axis (the line with arrows that runs from left to right" and at 2 in the y-axis (the line with arrows that runs north to south).

Question 10 of 10 To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step? A. Replace y with f-1(x). B. Subtract 1 from both sides of the equation. C. Solve the equation for y. O D. Solve the equation for x. SUBMIT

Answers

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

A motor has an internal resistance of 12.1 Ω. The motor is in a circuit with a current of 4.0 A

What is the voltage?

HELP PLEASE

Answers

Answer:

48.4 volts

Step-by-step explanation:

by using the formula :

V = I × R, we get :

V = 4.0 × 12.1 = 48.4 volts

Which is the x-intercept of f(x) = log6(2x) – 1?

Answers

Answer:

Hope this helps!

Please mark brainliest!

x-intercept(s):  

(1/log(36),0)

y-intercept(s):

(0,−1)

Someone help I have been stuck on this for 30 min

Answers

Answer:

fcuck off nobdy caresd XD

Step-by-step explanation:

just give me brainliest, too poor to even be good at life LOL  JiEW

EDIT BCS YALL ARE GAEY A F

cuanto me da como resultado

Answers

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Other Questions
A railway station measures 200 meters in length. How long is it? A. 10,000 cm B. 12,000 cm C. 15,000 cm D. 20,000 cm How much stronger is a magnitude 8 earthquake than a magnitude 5 earthquake?A. 1000B. 30C. 3D. 10 Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right. Unit Test Unit Test Review Active 1 2 3 4 Discuss how chemistry is involved when searing or flambeing meat. I A field is a rectangle with a perimeter of 1100 feet. The length is 300 feet more than the width. Find the width and length of the rectangular field "i donot practice "goldsmith once said ;" imake it rule to precribe only for my friends .""pray"dear doctor ,"said beauclerk ," alter your rule ,and prescribe only for your enemies." Can someone summarize this for me i just need like 2 or 3 sentencesI left the woods for as good a reason as I went there. Perhapsit seemed to me that I had several more lives to live, and could notspare any more time for that one. It is remarkable how easily andinsensibly we fall into a particular route, and make a beaten trackfor ourselves. I had not lived there a week before my feet wore apath from my door to the pond-side; and though it is five or sixyears since I trod it, it is still quite distinct. It is true, Ifear, that others may have fallen into it, and so helped to keep itopen. The surface of the earth is soft and impressible by the feetof men; and so with the paths which the mind travels. How worn anddusty, then, must be the highways of the world, how deep the ruts oftradition and conformity! Fastest Woman in the World Wilma Rudolph crouched at the starting line, every muscle in her lean, 5-foot-11-inch body poised 1 for the race. The starter gave the signal, and Wilma took off. Did this young woman from Tennessee have the strength and determination to win the Olympic gold medal? Everything in Wilmas life had prepared her for this moment. But Wilma wasnt an ordinary athlete. Mylifewasnt like the average person who grew up anddecided to enter the world of sports, she said. Sick All the Time Wilma Rudolph was born on June 23, 1940. She weighed four and a half pounds. No one expected her to survive. I was sick all of the time when I was growing up, Wilma wrote in her autobiography,Wilma. Wilma was the 20th of 22 children. In America in the 1940s, segregation 2 kept black and white people from being treated the same. Because the Rudolphs were African American, only one doctor in their town would care for Wilma. Her mother helped by using home remedies to nurse Wilma through measles, mumps, chicken pox, scarlet fever, appendicitis, and double pneumonia. I think I started acquiring a competitive spirit right then and there, a spirit that would make me successful in sports later on... I was going to beat these illnesses no matter what. Wilma fought her hardest childhood battle against polio, a disease that crippled 3 her left leg. Mrs. Rudolph found a black medical college in Nashville, 50 miles away. Twice a week, for several years, Wilma and her mother took the bus to Nashville. At home, Wilma and her family massaged and exercised her weak leg to strengthen it. After several months, the hospital fitted Wilma with a brace. The brace went on... and I lived with that thing for the next half-dozen years... When I was six,I started treatments... that lasted until I was tenyears old.Sending Back the Brace I was nine and a half years old when I first took off the brace... Ill never forget it. I went to church, and I walked in without the brace... Id say it was one of the most important moments of my life, Wilma wrote. Although she used the brace on and off for three more years, she practiced until she could finally walk without it. When Wilma was 12, her mother wrapped up the brace and sent it back to the hospital. That summer, Wilma went to a local playground and saw kids playing basketball. She fell in love with the game and decided she would play no matter what. Off and Running In the fall, Wilma entered seventh grade and joined the basketball team. For the next three years, she practiced hard. Finally, in tenth grade, Wilma got the chance to be part of the starting team. She began to set state records for scoring. Ed Temple, the womens track coach at Tennessee State University, saw Wilma play. He invited her to come to Tennessee State during the summers so he could coach her in track. Wilma learned fast. In 1956, at the age of 16, she ran her first Olympic race at the games in Australia and won a bronze medal in the 4x100-meter relay. Not About to Lose Wilmas time to shine came four years later. At the 1960 Olympics, she won gold medals in the 100-meter dash and the 200-meter dash. She had one event left as the last leg of a four-woman relay team, all from Tennessee State. As the third woman on the team ran toward her, Wilma reached for the baton and nearly dropped it. Her team was suddenly in third place. Wilma was not about to lose. With a final burst of speed, Wilma raced ahead of the competition, becoming the first American woman to win three gold medals at one Olympics. The little girl who couldnt walk had become the fastest woman in the world. Helping Others After the Olympics, Wilma decided that she wanted to help children overcome their difficulties byparticipating in sports. 4 Through her teaching andthe foundations she established, she helped countless children overcome all kinds of obstacles, just as she had. 1)PART A: Which statement identifies the central idea of the text? A)Wilma was able to overcome illness and injury to become a top athlete.B)Without the support of her family, Wilma would have never made it to the Olympics. C)Wilma was lucky that her injuries didn't keep her from winning in the Olympics. D)Racial discrimination kept Wilma from getting the help she needed for her illnesses. Which of these is an example of flashback in the passage? A. Ali disappearing among the people in the science fair B. Jade not speaking a single dialogue in the passage C. Ali commenting on the fact that Sai is very smart D. Sai thinking about her first science experiment who painted the mona lisa Do you think Japane se Americans were affected by this? How and why? An epistatic allele in labrador retrievers ensures that ee lab pups are yellow. Two other alleles control coat color, where black is dominant to brown. What portion of yellow pups would you expect from a parental cross where one parent was yellow (Bbee) and the other was heterozygous why did President Ronald Reagan encourage Congress to increase defense spending Find the missing length indicated. Hey can someone help me out? based on this expert which statement is the most accurate assessment of churchill's use of rhetoric? Which sports-training principle refers to how long the body takes to heal and rest before being ready to "work" again?A. recovery periodB. injury preventionC. frequencyD. specificity help What element provides strength to the exoskeleton of Clams and oysters Find the distance from the person to the tower, given that the nested triangles are similar.PLEASE HELP ASAP!!!!! due in 5 minutes what is the meaning of haggling in marketing