Answer the following

Answer The Following

Answers

Answer 1

The set A satisfying the given inequality is A = (-[tex]\infty[/tex], -10].

What are some properties of an inequality relation?

Following are some facts which are true for an inequality relation:

Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

[tex]\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)[/tex]

Since y ∈ B, -2 ≤ y ≤ 7. So,

[tex]\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.[/tex]

The set {-x | inequality (1) holds ∀ y ∈ B} is [10, [tex]\infty[/tex]) i.e.

10 ≤ -x ≤ [tex]\infty[/tex].

Multiplying -1 throughout gives

-10 ≥ x ≥ -[tex]\infty[/tex].

x, thus, lies in the range A = (-[tex]\mathbf{\infty}[/tex], -10}.

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Disclaimer: The question was incomplete. Please find the full content below.

Question

Find the set A such that for x ∈ A

[tex]\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y[/tex]

∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.

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Related Questions

please help
PLEASE ​

Answers

Answer:

Step-by-step explanation:

4567890987654345678

Denver has a current temperature of -5°, while Barcelona has a current temperature of 54°. What is the difference in temperature between Denver and Barcelona?

Answers

Answer:

59°

Step-by-step explanation:

Difference=54-(-5)

=54+5=59

please help! [4 x 3⁵ - 9 x (-7)] + 3³ (-4² +2²) - 11 Give your answer in simplest form.

Answers

Answer:

Please see the question below.

Step-by-step explanation:

In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x.  I'll assume it is the variable x in my answer.

4 x 3⁵ = 972x

- 9 x (-7) = 63x

3³ (-4² +2²)  = 27 (20) = 540

-11 = -11

========

Putting it all together:

972x + 63x + 540 -11

1035x + 529

Help asap show your work!

Answers

Answer:

x = 4

Step-by-step explanation:

Solve for x
3x² - 5x + 6 = 10 - 4x​

Answers

Answer: [tex]-1, \frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]

We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].

ac = -12b = -1

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]

Use the Zero Product Property. Set each factor to zero and solve for x.

3x - 4 = 03x = 4x = 4/3

x + 1 = 0x = -1

The solutions to the quadratic are -1 and 4/3.


someone help me get outta summer school slope? And y intercept?

Answers

Okay bud I’m not sure how about it or what if we are all the good ones you have that to me and my brother wants to go buy a new one and then go back to church class today or what do you want it to be in a big deal if we can get some stuff done then I’ll do the work I have for that you don’t want to me I don’t know how you want it I know but it’s like I don’t know why I’m not

The circle above with center O has a circumference of 36. What is the length of minor arc AC? A) 9 B) 12 C) 18 D) 36

Answers

Answer:

A) 9

Step-by-step explanation:

⇒ Circumference of a Circle = 2πr

[tex]36=2\pi r[/tex]

[tex]r=\frac{36}{2} \pi[/tex]

[tex]r=\frac{18}{\pi }[/tex]

Length of arc = rθ

θ = angle AC = [tex]90^o[/tex]

Convert [tex]90^o[/tex] to radian

= [tex]\frac{90\pi }{180}[/tex]

= [tex]\frac{\pi }{2}[/tex]

length of arc = 18/π x π/2

= 9

I need more help I'm lazy (img included)

Answers

Answer:

B)20

Step-by-step explanation:

convert 900in to ft=75

1500/75=20boxes

20

There are 12 inches in a foot, so 1500 times 12 is 18000, 18000 divided by 900 is 20

Simplify the expression
-17.8a-2.4a+25-19.5

Answers

Answer:

-20.2a+5.5

subtract the values with a in it and the ones without the a together.

The driving distance between Manchester and London is 195 miles. Farid intends to travel from Manchester to London by coach. The coach will leave Manchester at 3.30pm.

Farid assumes that the coach will travel at an average speed of 50mph

A)Using his assumption, work out Faris's arrival time at London.

It actually turns out that the coach has a lower average speed.

B)Describe how this affects the arrival time

Answers

Answer:

7:24pm

Step-by-step explanation:

At 50 mph, it will take 195/50 = 3.9 hours to reach London

3.9 hours = 3 .9 * 60 = 3 hours and 54 minutes(54 = 0.9 * 60 )

3:30 + 3:34 ==> 7:24

(one way to do this is to add up the hours and minutes separately so we get 6:84) Since 84 minutes = 1 hour and 24 minutes, just add 1:24 to 6 to get 7:24

Another way to do this is to see that if the distance was 200 miles, then it would take exactly 4 hours (200/50) to reach at 7:30pm But it is short by 5 miles. At the speed of 50mph, the time taken to travel 5 miles = 60/50 * 5 = 6 minutes so deduct 6 minutes from 7:30pm to get 7:24pm

If the train is slower average speed, then the arrival time is delayed beyond 7:24pm

A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125

Answers

The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an exponential function:

[tex]\rm N = N_oe^{-kt}[/tex]

Plug N = N⁰/2

[tex]\rm N_o/2 = N_oe^{-kt}[/tex]

[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]

Solving for t:

t = 5.54 ≈ 5.5 days

Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125

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Timothy has a savings account that he started five years ago to begin saving for college. The
savings account has an interest rate of 3% and has earned $225 in interest since he began the
account. How much money did Timothy start the account with when he originally opened the
savings account?
A. $1500.00
B. $33.75
C. $7500.00
D. $3375.00
of $18

Answers

Answer:

A. $1500.00

Step-by-step explanation:

Assuming this is a simple interest savings account.

Simple interest formula

I = Prt

where:

I = total interestP = principal amountr = interest rate (in decimal form)t = time (in years)

Given:

I = $225r = 3% = 0.03t = 5 years

Substitute the given values into the formula and solve for P:

⇒ I = Prt

⇒ 225 = P(0.03 ×5)

⇒ 225 = P(0.15)

⇒ P = 225 ÷ 0.15

⇒ P = 1500

Therefore, Timothy started the account with $1500.00.

I=PRT/100P=100I/RTP=100(225)/5(3)P=22500/15P=$1500

all natural numbers (N) are integers (Z), but not all integers are natural numbers true or false

Answers

True. All natural numbers N are integers Z, but not all integers are natural numbers.

Natural numbers:

Natural numbers starts from zero to infinity are all positive.All the natural numbers are whole numbers.It is denoted by NThe set of natural numbers are N = 1,2,3, ...

Integers:

Integers are the whole numbers that contain positive numbers, zero and negative numbersIt is denoted by ZThe set of integers are Z = ... ,-3,-2,-1,0,1,2,3, ...

Since natural numbers are all positive, N is positive integers but not all integers are natural numbers.

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Help please I'll mark you as brainlist if the answer is correct

if (x + q) is a factor of two polynomials x2 + px + q and x2 + mx + n, then prove that a = n-q m-p​

Answers

If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].

x + a is factor of equations  [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]

What is a polynomial equation?

Polynomial equation is equation of independent variables.


Putting it in both the equations

[tex]x^2+px+q=0[/tex]                          
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]  

[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]

subtracting (2) from (1)

[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]

Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].

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2
3
4
5
Which distance measures 7 units?
L
M
N
-8-7-6-5-4-3-2-1012
3
the distance between points L and M
the distance between points L and N
the distance between points M and N
the distance between points M and P
5 6 7 8
TIME REMAINING
56:41

Answers

Answer:

the distance between points M and P

Step-by-step explanation:

i did it

find the gradient of the line joining the points (0,2) and (-2,-4)

Answers

Answer:

m = 3

Step-by-step explanation:

Gradient of a line is given by the formula

m= (y2-y1) /(x2-x1) which is change y divided by change in x

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

m = -6/-2

m = 3

Answer: the gradient is 3

Step-by-step explanation:

for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.

and I drew an eye! Have a nice day!

Use substitution to solve the following system of equations

2x + 3y = 18 AND X = y - 6

Answers

Answer:

y=6,x=0

Step-by-step explanation:

here's an attachment with how to solve

An equilateral triangle has the height BO= 80 cm. Considering, height BO splits the base (segment) AC into two equal segments of size x/2, find X.

Answers

Answer:

Given - an equilateral triangle

An equilateral triangle means all sides equal and all angle equal to 60°

In triangle BOA

sin 60° = OB/ AB

√3/2. = 80/AB

AB = 160√3/3

X = 160√3/3

a-3/7 devided by 3-a/21

Answers

The answer is pretty simple but I put it in a picture below

Find the measure of the remote exterior angle. m∠x=(198−5n)°m∠y=(5n+37)°m∠z=(n+7)°

Answers

The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle is given below.

The sum of the two interior angle is equal to the third exterior angle.

m∠x = (198 − 5n)°

m∠y = (5n + 37)°

m∠z = (n + 7)°

We know that

∠x = ∠y + ∠z

198 - 5n = 5n + 37 + n + 7

       11n = 154

          n = 14

Then the value of the angle ∠x will be

∠x = 198 – 5 × 14

∠x = 128°

Then the correct option is C.

The complete question is given below.

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Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?

Answers

Friday =11

Saturday =?

But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.

Saturday = 11-8

               = 3

∴ He took 3 pictures on Saturday.

       Hope this helps >3

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ftfrankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ft.

Answers

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

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Answer:

D) 37.7

Proof:

Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1

Answers

Answer:

a and b

Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2

The davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. they want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. which quadratic equation best models the situation? a = lw (15)(12) (x)(x) = (15)(12) 160 (15x)(12x) = (15)(12) 160 2(15 x) 2(12 x) = (15)(12) 160 (15 x)(12 x) = (15)(12) 160

Answers

Answer:

160

Step-Step Explaining:

So I Know This ⏩ ⏩

How many significant digits are there in the number 237.16?

Answers

Answer:

3

Step-by-step explanation:

Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i

Answers

We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.

What are complex numbers?

Complex numbers are those numbers that contain the imaginary and the real part.

We have been given (4 + 4i) - (13 + 17i) .

On removing the parenthesis

4 + 4 i - 13 - 17i.

On combine the real part and complex parts, we get

= 4 - 13 + 4i - 17 i.

= -9 - 13 i.

Therefore, The correct option is A ) -9 - 13 i.

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The largest bubblegum bubble ever blown was 23 inches in diameter. What was its circumference?.

Answers

Answer:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

Step-by-step explanation:

Formula for circumference: [tex]C=2\pi r[/tex]

Radius = [tex]\frac{d}{2}[/tex]

Altogether we get: [tex]C=2*\pi*\frac{d}{2}[/tex]

Which simplifies to: [tex]C=\pi d[/tex]

So now we can plug in 23 for [tex]d[/tex].

[tex]C=\pi*23[/tex]

Our final answer is:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

A​ _______ random variable has infinitely many values associated with measurements.

Answers

Answer:

Continuous

A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.

Use the compound interest formulas A=P1+
r
nnt and A=Pert to solve the problem given. Round answers to the nearest cent.
Find the accumulated value of an investment of $25,000 for 3 years at an interest rate of 7% if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously.

Answers

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

What is Interest ?

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

[tex]\rm A = P( 1+ \dfrac{r}{n}) ^{nt}[/tex]

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ [tex]\rm e ^{rt}[/tex]

Therefore the accumulated value for

compounded Semiannually is

[tex]\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}[/tex]

A = $30731.4

Compounded Quarterly

[tex]\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}[/tex]

A = $30785.98

Compounded Monthly

[tex]\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}[/tex]

A = $30823.14

Compounded Continuously

[tex]\rm P = 25000 e ^{ 7 * 3 }[/tex]

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

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If the nth term of a sequence is 18-8n what is the 8th term

Answers

Answer:

[tex]a_{n} =18-8n\\a_{8} =18-8(8)=-46[/tex]

Answer:

-46

Step-by-step explanation:

(hello, I just answered your previous question--some stuff will sound similar because we are applying the same concept :)  )

We know that the nth term of the sequence is 18 - 8n

the "nth" term of a sequence means that you can plug in the term place to get the term value (ex. if the nth term is n + 2, we can plug any term in {let's say, the eighth term, 8 + 2 = 10 ; to get our term's value}  )

  18 - 8n is sequence

  18 - 8(8) is 8th term

  18 - 64 is 8th term

 -46 is the 8th term

hope this helps!! :)

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This time the temperature of the water rises from13.00 C to 44.56 C.Use this information, and any other information you need from the ALEKS Dataresource, to answer the questions below about this reaction:-stirrerIs this reaction exothermic, endothermic, or neither?thermometerchemical reaction"bomb"A "bomb" calorimeter.If you said the reaction was exothermic or endothermic, calculate the amount of heat that wasreleased or absorbed by the reaction in the second experiment.2CH,(g) + 70(g) 4CO(g) + 6HO(g)Be sure any of your answers that are calculated from measured data are rounded to the correct number of significant digits.Note for advanced students: it's possible the student did not do these experiments sufficiently carefully, and the values youcalculate may not exactly match published values for this reaction.exothermicOendothermicneitherwaterkJinsulation EloloA02 C:N=ble 8.5od Soutemread, Cerirape-Nutloney Bunatmeal Sqbasted Mulruits and VeLeaweed, spispinach, boilefeat, Poultry,eef, plate steashicken, gibletamb, liver, par How much heat is required to convert 12.0 g of ice at -10.0C to steam at 100.0C. Express your answer in joules, calories, and Btu. Read the following passage:Javier trained for his first marathon for months. He learned to pace himself and to push through the pain. He developed blistersand shin splints. It broke his heart not to finish.Which revision below most effectively uses transitions to create coherence?Javier trained for his first marathon for months after he learned to pace himself and to push through the pain. Additionally,he developed blisters and shin splints. In the end, it broke his heart not to finish.Javier trained for his first marathon for months. First, he learned to pace himself and to push through the pain. Next, hedeveloped blisters and shin splints. Finally, it broke his heart not to finish.Javier trained for his first marathon for months. He leaned to pace himself and to push through the pain. But during therace, he developed blisters and shin splints. Because of that he had to stop, and it broke his heart when he couldn't finish.Javier trained for his first marathon for months. He learned to pace himself and to push through the pain. Also, hedeveloped blisters and shin splints. Similarly, it broke his heart not to finish.SubmitPassHoldDon't know answer Skip for nowSave and close The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled. help me Two boats left a base camp at bearing of S60E and S50W at speeds of 50km/h and 70km/h respectively. Find the distance between the both boats after two hours. How did John and Abigail Adams believe Thomas Paine's Common Sense influenced others?