The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?

Answers

Answer 1

Answer:

Maximum: 756

Minimum: 600

Step-by-step explanation:

A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:

(1+3+5+8+10)(2+4+6+7+9)

For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:

(1+2+3+4+5)(6+7+8+9+10)=600

Hope this helps!


Related Questions

Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?

Answers

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

What must be true in order for line A to be parallel of line b?

Answers

Answer:

Its the first option.

Step-by-step explanation:

if they are both 180° then they can both go on forever without touching each other.

Answer:

c or (5x-54)°=(3x+16)°

Step-by-step explanation:

Since they are alternate angles, they must be equal. Alternate angles are always equivalent, and since you can't choose more than one answer, then they can't equal 180° or 90°.

Which expression is represented by the number line?

A number line going from negative 4 to positive 4. An arrow goes from negative 2.5 to negative 1, from 0 to 3, and from 3 to negative 2.5.
3 – 5.5 – 1.5
3 – 5.5 + 1.5
3 – 2.5 – 1
3 – 2.5 + 1

Answers

Answer:

3 – 5.5 + 1.5

Step-by-step explanation:

The number line described above is 3 – 5.5 + 1.5

Starting from our midpoint '0'

It moves 3 units to the right direction = +3

Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5

Therefore, we finally have ;

+3 - 5.5 + 1.5

Answer:

B) 3 - 5.5 + 1.5

For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.

If a total of N1294 was

collected, calculate the value

of x *

Answers

Answer:

142

Step-by-step explanation:

5*(x+60)+2*x=1294

5x+5*60+2x=1294

7x+300=1294

-300       -300

        7x=994

x=994:7

x=142

142

Step-by-step explanation:

5(60+x) +2(x) = 1294

300+5x+2x= 1294

7x= 994

X= 142

Can i get help please??…………

Answers

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

Answer:

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

which expression shows the first step in dividing 5x + 3 by x?

Answers

First you need to make table value
Second y=5x+3
Y is your output and x is your input

A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053.


Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

129.46
130.00
130.66
134.59

Answers

Answer: 130.66

Step-by-step explanation:

Answer:

$31.88

Step-by-step explanation:

on edge 2020

what is the slope of the line shown below (4,8) (2,2)

Answers

Answer:

slope = 3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= (8-2)(4-2)

= 6/2

= 3

Answer:

If those are 2 points on the line, then the slope is 3.

Step-by-step explanation:

slope is rise over run.  (8-2)/(4-2) = 6/2 = 3

ill give Brainliest!!

Answers

Answer:

A

Step-by-step explanation:

1st graph is the same for all choices.

3d graph is horizontal line y=50 or C(x) = 50.

It is A or B choices.

We have white circle , that means value of x is not included x > 6.

It is A.

We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.

Answer:

It's the first option.

Step-by-step explanation:

Note that the filled circles means that the value is included in the inequality  and the clear circle means it is not.

For the first 2 Gb  ( 0 to 2 inclusive) used,  the cost is $15.

Then for x > 2 up to and including x = 6 ( that is 6 Gb used)  it rises at a rate of 5 dollars per Gb + $10,  so its 5x + 10 for 2 < x <= 6.

Then the cost stays at $50.

when 7 is subtracted from 3 times a certain number , the result is 28. What is the number

Answers

7 multiply by three u get 21 then add it to the number 28 add u get the answer 49

i need help, please..

Answers

Answer:

£1.31

Step-by-step explanation:

5:7:12

5x+7x+12x= 21624x= 216x= 9

small : medim : large = 45 : 63 : 108

45y+63*2y+108*3y= 648.45y(45+126+324)= 648.45495y= 648.45y= 648.45/495y= £1.31 profit for small cake

Answer:

£1.31

Step-by-step explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

Answers

A whole number constant could have been subtracted from the exponential expression.

Answer:

It's B

explanation

find the value of k for which the quadratic equation 2x^-kx+=0 have equal roots​

Answers

Answer:

I'll email it to you

Rewrite the fraction in the sentence below as a percentage. Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .

Answers

Answer:

shawty a lil baddie

Step-by-step explanation:

i like ur mom bro

The percentage of salad bars offered to customers in 1998 is; 70%.

What is the percentage?

The percentage refers to the value of a variable contained in a whole number.

The percentage is the ratio that a variable is contained in another.

Percentages, which are over 100, are depicted using the percentage sign (%).

Data and Calculations:

We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .

7/10 salad bars were offered to customers,

The conversion to percentage = 70% (7/10 x 100)

Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.

Learn more about percentages at ;

brainly.com/question/24304697

#SPJ2

The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help

Answers

c should be the correct answer

The second and fifth term for the given sequence are 6 and 48 respectively and a₆ > 50.

What is an inequality expression?

An inequality expression refers to the relation between an algebraic expression to some known value that contains inequality sign. Unlike an equation it can have a range of values inside an interval.

The given problem can be solved as,

(a) The nth term of the sequence is given as aₙ = 3n²/2

Then, substitute n = 2 to get second term as below,

a₂ = (3 × 2²)/2 = 6

(b) The fifth term is obtained as,

a₅ = (3 × 2⁵)/2  = 48.

(c) The inequality expression for the given case can be written as,

3n²/2 > 50

⇒ 3n² > 100

⇒ n² > 33.33

This is possible only for n = 6.

Hence, the second and fifth terms are 6 and 48 respectively. And, the 6th term will be the first to be greater than 50.

To know more about inequality expression click on,

https://brainly.com/question/29989669

#SPJ3

Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)

Answers

s = number of states visited

d = number of days

6d = number of states visited after d days pass by, excluding the first 2 visited

6d+2 = total number of states visited, including the 2 originally visited

Answer:       s = 6d+2

The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is not a pearl?

Answers

Answer:

1/3

is the answer

please mark me as a brainliest

I think it’s 1/3 because it completes it

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?

show work pls!

Answers

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

Can someone help me with this question?
It's geometry.
Will mark you as brainliest if answer is correct.

Answers

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Give the singular form :
1 . Bodies
2. Joys
3. loaves
4. coolies
5. keys
6. bushes
7. sheep
8. watches
9. storeys
10 . rays
11. feet
12. wives
13. children
14. lilies
15. fairies
Brainliest to whoever answers best and with a good explanation .
Thanks!! ​

Answers

Answer:

Given below hope it helps!

Step-by-step explanation:

The steps for changing from plural to singular are:

If there is an (s) after the word remove

If there is an ies after the word remove and add y

If there is ves remove and add f or fe

However there are a few exceptions and I will point it out in the answer:-

1) body

2) joy

3) loaf

4) coolie

(In this cooly won't make sense so we just remove the s)

5) key

6) bush

7) sheep

(The singular of sheep is also sheep)

8) watch

9) storey

10) ray

11) foot

(The singular is foot because no other rule applies to this word, this is an exception)

12) wife

13) child

(This is an exception too where we remove ren)

14) lily

15) fairy

URGENT PLEASE HELP ME I SUCK AT GEO

Answers

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

8 miles OR 8.0 miles

Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

Answers

Answer:

The satisfied table of the given function[tex]y = log_{b} (x)[/tex]

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function [tex]y = log_{b} (x)[/tex]   if b >1

Given first table

i)

put x = [tex]\frac{1}{8}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{8} )[/tex]

[tex]y = log_{2} (2^{-3} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]

y = -3

ii)

put x = [tex]\frac{1}{4}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{4} )[/tex]

[tex]y = log_{2} (2^{-2} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]

y = -2

iii)

put x = [tex]\frac{1}{2}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{2} )[/tex]

[tex]y = log_{2} (2^{-1} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

[tex]y = log_{2} (1 )[/tex] = 0

y = 0

v)

put x = [tex]2[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (2 )[/tex]

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Given:

The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].

To find:

The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Explanation:

It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then

[tex]y=\log_2 x[/tex]          ...(i)

Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{8}[/tex]

[tex]y=\log_2 \dfrac{1}{2^3}[/tex]

[tex]y=\log_2 2^{-3}[/tex]

[tex]y=-3[/tex]

Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{4}[/tex]

[tex]y=\log_2 \dfrac{1}{2^2}[/tex]

[tex]y=\log_2 2^{-2}[/tex]

[tex]y=-2[/tex]

Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{2}[/tex]

[tex]y=\log_2 2^{-1}[/tex]

[tex]y=-1[/tex]

Substitute [tex]x=1[/tex] in (i), we get

[tex]y=\log_2 1[/tex]

[tex]y=0[/tex]

Substitute [tex]x=2[/tex] in (i), we get

[tex]y=\log_2 2[/tex]

[tex]y=1[/tex]

The table of values is:

[tex]x[/tex]     [tex]y[/tex]

[tex]\dfrac{1}{8}[/tex]     [tex]-3[/tex]

[tex]\dfrac{1}{4}[/tex]     [tex]-2[/tex]

[tex]\dfrac{1}{2}[/tex]     [tex]-1[/tex]

[tex]1[/tex]     [tex]0[/tex]

[tex]2[/tex]     [tex]1[/tex]

Therefore, the first option is correct.

Learn more:

https://brainly.com/question/7975040

2x + 12 = -2(4-2x)
X=10
X=-10
X=-5
X=5

Answers

Answer:

[tex] \boxed{x = 10} [/tex]

Step-by-step explanation:

[tex] = > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10[/tex]

The first one is x=10

Can someone please help me??

Answers

Answer:

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]

Answer:

1) D.

2) A

Step-by-step Explanation:

1) [tex]7^{-2}[/tex]

= [tex](\frac{1}{7})^2[/tex]

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

= [tex](\frac{3}{2})^{3}[/tex]

Please help me ASAP, thanks!

Answers

The answer is option c
I hope this helps!

Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Which polynomial is in standard form?

Answers

Answer:

B

Step-by-step explanation:

When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!

Anybody wanna play fn, , or sea of thieves?

Answers

Answer:

Nope

Step-by-step explanation:

Please we are not here to joke.find some where else to do such but not here

Answer:

Meh

Step-by-step explanation:

F) 77.1%

Thanks if you helped me

Answers

Answer: 43.5

Step-by-step explanation:

185/425

divide them, you should get 0.435

move it to the left 2 times and thats your answer

Other Questions
Which nation established a protectorate in Korea? What does William Wordsworth mean by "heads" in the following bolded line? I wandered lonely as a cloud That floats on high o'er vales and hills, When all at once I saw a crowd, A host, of golden daffodils; Beside the lake, beneath the trees, Fluttering and dancing in the breeze. Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in a sprightly dance. The waves beside them danced; but they Out-did the sparkling waves in glee: A poet could not but be gay, In such a jocund company: I gazedand gazedbut little thought What wealth the show to me had brought: For oft, when on my couch I lie In vacant or in pensive mood, They flash upon that inward eye Which is the bliss of solitude; And then my heart with pleasure fills, And dances with the daffodils. A. Nature B. Hair C. Flowertops D. Faces What is the difference between a heart attack and cardiac arrest?How do you determine if a bandage is too tight on the arm of an unresponsive victim?When shock occurs, how does the body prioritize the need for blood?, why?Each question needs to be 3+ sentences can someone write a horror story for me 200 words and there needs to be a scary house in it if you write a story i love you! Question 7 of 10The coefficient of kinetic friction between a couch and the floor is 0.4. If thecouch has a mass of 35 kg and you push it with a force of 200 N. what is thenet force on the couch as it slides?O A. 337 NB. 143 NO C. 343 NO D. 63 N Conduct research to find something interesting that proves protists are necessary. What did the Corps of Discovery set out to do?A. Explore the area covered by the Louisiana PurchaseB. Discover gold in CaliforniaO C. Scout the land for the FrenchD. Explore the Atlantic coastline Real Estate One conducted a recent survey of house prices for properties located on the shores of Tawas Bay. Data on 26 recent sales, including the number of bathroom, square feet and bedrooms are below.Selling Price Baths Sq Ft Beds160000 1.5 1776 3170000 2 1768 3178000 1 1219 3182500 1 1568 2195100 1.5 1125 3212500 2 1196 2245900 2 2128 3250000 3 1280 3255000 2 1596 3258000 3.5 2374 4267000 2.5 2439 3268000 2 1470 4275000 2 1678 4295000 2.5 1860 3325000 3 2056 4325000 3.5 2776 4328400 2 1408 4331000 1.5 1972 3344500 2.5 1736 3365000 2.5 1990 4385000 2.5 3640 4395000 2.5 1918 4399000 2 2108 3430000 2 2462 4430000 2 2615 4454000 3.5 3700 4Action:Use the data above and multiple regression to produce a model to predict the average sale price from other variables. Comment on the following:a. Regression equationb. R, R2 and 1-R2, adjusted R2c. Standard error of estimated. Report the t's for each value and the corresponding p-valuese. Overall test of hypothesis and decisionf. Use a .05 level of significance. Cite which variables are significant and which are not significant, based on the t values and p values for each independent variable. Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 percent are returned. If eight rings are sold today, what is the probability that fewer than three will be returned William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?1.25p0.97.51.25p+0.97.51.25p+0.97.51.25+0.9p7.5 Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement: Sales $ 1,535,000 Variable expenses 553,150 Contribution margin 981,850 Fixed expenses 1,080,000 Net operating income (loss) $ (98,150) In an effort to resolve the problem, the company would like to prepare an income statement segmented by division. Accordingly, the Accounting Department has developed the following information: Division East Central West Sales $ 355,000 $ 660,000 $ 520,000 Variable expenses as a percentage of sales 53 % 23 % 41 % Traceable fixed expenses $ 296,000 $ 331,000 $ 202,000 Required: 1. Prepare a contribution format income statement segmented by divisions. 2-a. The Marketing Department has proposed increasing the West Division's monthly advertising by $28,000 based on the belief that it would increase that division's sales by 16%. Assuming these estimates are accurate, how much would the company's net operating income increase (decrease) if the proposal is implemented Mass is the amount of what Remembering the Battle of Bunker Hill what did general Harry and his troops do Which is the equation of a line that has a slope of One-half and passes through point (2, 3)? what battle showed that the continental army could win the American Revolution?a: Saratoga b: Lexington c: Yorktown d: Duquesne What do you think Obama meant when he called certain values the quiet force of progress? Which of these values do you think are most important, and why? Yael is writing an essay about the development of folktales. Read the excerpt from her essayEvery culture throughout time has had its own folk tales,which were first transmitted from person to person with thetechnology available at the time. Folk tales began as anoral tradition. With the invention of written language, folktales were recorded by community scribes, until 1450,when the printing press was invented. The result was awider distribution of folk tales, which were collected inbooks.Based on the beginning of Yael's essay, how does thestructure support her central idea?Yael gives details in order of importance, which does notsupport her central idea by showing development.Yael gives details in order of importance, which supportsher central idea by showing development.Yael gives details in chronological order, which does notsupport her central idea because it does not showdevelopmentYael gives details in chronological order, which supportsher central idea by showing development. If you prepare a solution by adding sufficient amount of solute so that after heating and cooling the solution there is a visible amount of solid solute left in the bottom of the beaker, the solution would be considered ________. Really easy math question! Which of these students are most likely in need of professional mental health services? Check all that apply.Melanie is struggling to control angry outbursts and rage toward family and strangers.Alonso is having trouble concentrating on his school work while he waits to find out how his father's surgery went.Darius is less interested in spending time with friends and has stopped participating in activities he once enjoyed.Cody began dieting to make weight for wrestling, but now he struggles with his body image and is continuing toeat less and less.van is feeling nervous and anxious before a mid-term exam at school after she recently received a C on anessay