Determine whether the ordered pair (coordinate) is a solution to the inequality.
2. 2x + 3y > -8,
(3,-6)

Answers

Answer 1

Answer:

The ordered pair is not a solution to the inequality.

Step-by-step explanation:

Given expression;

     Inequality :

         2x + 3y > -8

 

Ordered coordinate pair = (3, -6)

Solution:

If the ordered pair is a solution of the inequality, then it must be true that expression on the left -hand side is greater than -8;

So, the values we get on the right-hand side should be -7, -6 on and on.

  x  = 3 and y = -6

Input the parameters into the inequality;

     2(3) + 3(-6)

  = 6 - 18

   =  -12

   -12 is less than -8 and this is not correct for the expression.

The ordered pair is not a solution to the inequality.


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7. Danielle is creating a scale drawing of her room. The rectangular room measures 20 1/2 ft. by 25 ft. If her drawing uses the scale where 1 inch represents 2 feet of the actual room, will her drawing fit on an 8 1/2 in. by 11 in. piece of paper?
.

Answers

I am going to have to go with answer A

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .

Answers

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

Given

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

To know more about Flux click the link given below.

https://brainly.com/question/5932170

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?

In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D. Rewr

Answers

Complete question :

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Length of trail = 3/4 of a mile.

Time taken = 1/6 of an hour

A) unit rate will be expressed in:

Length of trail = miles

Time taken. = hour

= miles per hour (mph)

B) Jogging rate :

Length of trail / time taken

3/4 miles ÷ 1/6 hour

3/4 * 6/1

18/4 = 4 2/4 = 4 1/2

Answer:

3/4/3/6  miles per hour

Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT

Answers

7% is equal to 0.007

The decimal equivalent of 7% is, C. 0.07.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know, Percentages and decimals are related to each other.

Decimals can be converted into percentages by multiplying them by 100

and vice versa.

Given, We have to find the decimal equivalent of 7%.

The decimal equivalent of 7% is,

= 7/100.

= 0.07.

Q. Which of the following is equal to 7%?

A. 7.

B. 0.7.

C. 0.07.

D. 7%.

learn more about percentages here :

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A 40-foot powerboat is for sale by the owner. How long is the boat to
the nearest yard?

Answers

40 divided by three is 14 so I believe the answer is 14

PlSSSSSS HELP multiple choice

Answers

letter b is the correct answer.

Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places (e.g. 90.2353).) g

Answers

Answer:

The answer is "75.627"

Step-by-step explanation:

Please find the correct question in the attached file.

The mean displacement force among all connectors throughout the population calculates the point estimation.

[tex]\bold{ \bar x= \frac{\text{Sum of observation}}{\text{Amount of observations}}}[/tex]

   [tex]= \frac{1966.88}{26}\\\\=75.627[/tex]

find the value of x
PLEASE HELP!!!

Answers

X=21 first you subtract out the numbers you have from the total so 180-(3+9) which is 168 so you know 5x+3x=168 so you simplify first add your 5x+3x so 8x=168 then you want to get x by itself so you divide out the 8 so 8x divided by 8 is just x and what you do to one side you must do to the other so 168 divided by 8 is 21

What is 1.6 + 4x > 14.

Answers

Answer:

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

Step-by-step explanation:

is 1/4 a repeating decimal​

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is a repeating decimal

Explain how to use the distributive property to find an expression that is equivalent to 20+16.​

Answers

Step-by-step explanation:

distributive property is a*(b+c) = a*b + a*c

20+16 = 4* (5+4)

solve for the x variable .

Answers

Answer:

x=15

Step-by-step explanation:

plz mark as brainliest

hope it helped u

Answer:

ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15

Is a 70 a bad grade on a math test?

Answers

Answer:  in my opinion is better than an F

Step-by-step explanation:

A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi

Answers

Answer:

1639.91

Step-by-step explanation:

to work out surface area of a cylinder u do

A=2πrh+2πr2

hope this helps :)

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answers

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

If a1=2 and an=an-1+5 then whats the value of a5

Answers

Answer:

a5=10

Step-by-step explanation:

a1=2 a2=4 a3=6 a4=8 a5=10

The value of the 5th term of the arithmetic sequence will be 22.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

The value of the first term is 2. Then the value of the 5th term is calculated as,

a₂ = a₁ + 5

a₂ = 2 + 5

a₂ = 7

a₃ = a₂ + 5

a₃ = 7 + 5

a₃ = 12

a₄ = a₃ + 5

a₄ = 12 + 5

a₄ = 17

a₅ = a₄ + 5

a₅ = 17 + 5

a₅ = 22

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

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Which expression is equivalent to |-5| + |-3|

Answers

Answer:

5+3

Step-by-step explanation:

5+3

Answer:

5+3=8

Step-by-step explanation:

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

can anyone help with the vertical angles

Answers

Answer:

a

Step-by-step explanation:

do the ones that are congruent and right in front of eachother

Answer: Choice A

[tex]\angle JLK \ \ \& \ \ \angle MLN\\\\\angle JLM \ \ \& \ \ \angle KLN[/tex]

See the diagram below. I've marked the angles in question using different colors. Angles JLK and MLN are in red. Angles JLM and KLN are in blue.

Vertical angles are opposite one another when we have an X shape like this. Vertical angles are always congruent.

Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Gshhebehbebe hebebeb bebebeb benenne hwbebeb hebebvecehalonw wine wow. Nennen


Robert bought a 6 pack of cans of iced tea for $2.70. About how much is the unit cost for each can of iced tea?

Answers

Answer:

.45$

Step-by-step explanation:

2.70 ÷ 6

Answer:

$0.45

Step-by-step explanation:

If 6 cans of iced tea costs $2.70,

1 can would cost ($2.70 ÷ 6)

Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please

Answers

Answer:

what questions need to be done? We need to know the problems before we answer them. :/

A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions the student gets correct. (a) Find P(X = 3). (b) Find P(X > 2). (c) To pass the test, the student must answer 7 or more questions correctly. Would it be unusual for the student to pass? Explain.

Answers

Answer:

1)0.2502

2)0.475

3)0.003505

Step-by-step explanation:

Total No. of question n= 10

There are four choices in each question

So, Probability of success [tex]p = \frac{1}{4}[/tex]

Probability of failure q  = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]

We will use binomial over here

[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]

1)

[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]

2)  [tex]P(X > 2)=1-P(X\leq 2)[/tex]

P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))

[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]

[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]

P(X>2)=0.475

3)

[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]

help me idk what it is​

Answers

the answer is the bottom one on the first row

it should be the top right answer.
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28

So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15

A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.

Answers

Step-by-step explanation:

let chairs be C and sofas be S

The objective function is

Maximize

90C+75S=P

The constraints are

carpentry

3C+2S=66------1

finishing

9C+4S=180-----2

upholstery

2C+10S=200-----3

C>0, S>0

The linear programming is

3C+2S=66

9C+4S=180

2C+10S=200

Mackenzie has one candy bar to share equally with her best friend. What portion of the candy bar does Mackenzie give to her best friend.

Answers

Answer:1/2

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation: if each of you get part of the candy bar and you need to share it equally, both of you get 1/2 of it.

40,984 rounded to the nearest ten thousand

Answers

Hi friend! Hope this helps!

40,000.

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

Answer:

the second one

Step-by-step explanation:

i did it in my head and double checked :)

Answer:

Store Z has the best sale price of $28

Step-by-step explanation:

Starting Price = $35

Store X offers 15% off = only 5.25$ off (0.15 * 35 = 5.25, 35 - 5.25 = 29.75) Final Price = $29.75

Store Y offers $5 off = only 5$ off (35 - 5 = 30) Finaly Price = $30

Store Z offers 1/5 off = only 7$ off (1/5 = 0.20, 0.20 * 35 = 7, 35 - 7 = 28) Final Price = $28 (BEST PRICE)

HELP WILL MARK BRAINLIEST

Answers

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

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