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

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

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

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.

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

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

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 = .

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

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.

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

Please help me ASAP, thanks!

Answers

The answer is option c
I hope this helps!

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

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

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

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.

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

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!

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]

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

Answers

Answer:

I'll email it to you

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

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:

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 ;

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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

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

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

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.

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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

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 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.

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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

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