The main advantage of boxplots over stemplots and histograms is:.

Answer:

27.25408 grams

Step-by-step explanation:

For each year, we subtract 8% of the sugar content. Therefore, for the first year, we subtract 8% from the original sugar content of 35 to get

sugar content - 8% of the sugar content = 35 - 8% of 35 = 35 - 0.08 * 35 = 1 * 35 - 0.08 * 35 = 0.92 * 35. It can therefore be concluded that subtracting 8% of the sugar content is the same as multiplying the current sugar content by 0.92. We do this every year, so the second year is (0.92 * 35) * 0.92 and the third year is ((0.92 * 35) * 0.92) * 0.92 = 27.25408 grams

A pattern develops, and that is that we multiply by 0.92 each year. Therefore, for x years, we multiply by 0.92 x times or 0.92ˣ as a whole. Therefore, our equation can be written as 0.92ˣ * original amount = 0.92ˣ * 35

Answer:

x< 1/2 is the answer

Answer:

9

Step-by-step explanation:

6a=54

a=54/6

a=9

Answer:

5b+3n=30

Step-by-step explanation:

trust me

By maxima and minima concept, p = $12.50 gives the maximum revenue as $312.50

Expression to model number of backpacks = -2p + 50

As we know that

Revenue collected = Price of a backpack * Number of backpacks

If price  = $9

Number of backpacks = -2*9+50 = 32

Revenue collected = 9 * 32 = 288

If price  = $10

Number of backpacks = -2*10+50 = 30

Revenue collected = 10*30 = 300

If price = $11

Number of backpacks = -2*11+50 = 28

Revenue collected = 11 *28 = 308

If price = $12

Number of backpacks = -2*12+50 = 26

Revenue collected = 12* 26= 312

If price = $13

Number of backpacks = -2*13+50 = 24

Revenue collected = 13 * 24= 312

Since revenue at p=12 and p=13 is the same, it means by the first derivative principle max revenue will be at an average of  points p=12 and p=13

Average value = (12+13)/2 = 12.5

It says that if we get the maximum value at a point, the function value at the same distance in its neighborhood will be equal.

Revenue at p=12.5:

12.5* [-2*12.5+50] = 312.5

Therefore, p = $12.50 gives the maximum revenue as $312.50.

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Answer: 8/15

jk^2+kl^2=lj^2

jk^2+16^2=34^2

jk^2+256=1156

jk= sqrt(1156-256)

jk=sqrt(900)

jk=30

tan J= KL/JK

= 16/30

=8/15

Step-by-step explanation:

Answer:

1 and 1/2 multiplied by 2

1 and 1/2 doubled

Answer=3

Since 1 and 1/2 are equal to 1.5, you can add 1.5 to 1.5 to successfully multiply it, getting 3.

Step-by-step explanation:

Step-by-step explanation:

35 × 14 = 476

476 × 4 = 1904 yd

14 × 14 = 196

196 × 2 = 392 yd

now,

392 yd + 1904 yd = 2296 yd². ans.

hope this helps you !

Answer:

  2

Step-by-step explanation:

To find the number corresponding to a percentage, multiply the base value by the percentage.

  10% of 20 = 0.10 ×20 = 2

2 people picked vanilla cupcakes.

Answer:

  ₹4700

Step-by-step explanation:

The interest, rate of interest, principal, and period of time are related by the simple interest formula. An unknown value can be found using this formula with the known values filled in.

  I = Prt . . . . interest on principal P at annual rate r for t years

  ₹1222 = P(0.065)(4) . . . . . using the given values

  ₹1222/0.26 = P = ₹4700 . . . . divide by the coefficient of P

The principal that earns the given amount of interest is ₹4700.

Answer:

first option

Step-by-step explanation:

x² - 8x = 3

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex]

then

x = 4 - [tex]\sqrt{19}[/tex] , x = 4 + [tex]\sqrt{19}[/tex]

Answer:

Step-by-step explanation: convert .215(x+1.862)(x-2.862)to the required form: 43x2- 200 43x200-57287223 50000000 answers is the last part.

See the image below.

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

[tex]\rm\longrightarrow 10^{x-10}-8=51.7 [/tex]

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

[tex]\rm\longrightarrow 10^{x-10}= 51.7+8 [/tex]

Simplify,

[tex]\rm\longrightarrow 10^{x-10}= 59.7 [/tex]

Now take log to the base 10 on both sides ,

[tex]\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) [/tex]

Recall that [tex]log\ m^n = n\ log m [/tex] .So ;

[tex]\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) [/tex]

Again recall that [tex] log_a a = 1[/tex] .So ; here [tex]log_{10}10[/tex] becomes 1 .

[tex]\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ [/tex]

[tex]\rm\longrightarrow (x-10)= log_{10}(59.7)[/tex]

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

[tex]\rm\longrightarrow x -10 = 1.7759 [/tex]

Add 10 to both sides ;

[tex]\rm\longrightarrow x = 10+1.7759 [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

[tex]\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}[/tex]

[tex]\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} [/tex]

Answer:The numbers are 48 and 40

Step-by-step explanation:

Answer:

The two numbers are 48 and 40

Step-by-step explanation:

Solve for the unknown numbers by representing them with two different variables.

I chose X and Y.

Solve using simultaneous equations and you will get 48 and 40

Hope that helps :)

Answer:

19.3 cm to 3 sig figs

Step-by-step explanation:

See attached image.

Answer:

6^-2

Step-by-step explanation:

To answer this, you need to know one basic law of indices:

x^-n = 1/x^n

So here 1/36 is the same as 36^-1.

Then we can simply sqr root 36 to give (6^2)^-1.

When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.

So the answer is 6^-2.

80 = 3x - 4

84 = 3x

x = 28

Answer:

2 gallons

Step-by-step explanation:

4 quarts = 1 gallon

2 pints in a quart

2 cups in a pint

8 ounces in a cup

1/2 gal of orange juice

1/4 gal of milk

1 gal of chocolate milk

1/4 of lemonade

so in total you get 2 gallons! :)

Answer:

Yes, death opened the eyes of Ponyboy from the book 'The Outsiders' by S.E Hinton. The death of Johnny makes Ponyboy realize that death can happen to anyone at any time, and that he needs to live life while he can. When Johnny talks to Ponyboy at the hospital about how disappointed he was that he didn't have enough time to see everything he wanted to see, Ponyboy realizes he needs to live life to the fullest. Likewise, when Dally is shot by the police officers, Ponyboy realizes how precious and fragile life is. He feels sad about how Dally died, and how tragic it was. This is how death opened the eyes of Ponyboy in the book, The Outsiders by S.E. Hinton.

The phone number is in Maintenance rehearsal.

Maintenance rehearsal is a rehearsal technique that involves straight repetition of data values or information(s) to memorize and remember them.

This rehearsal technique is often referred to as rote rehearsal. The repetition of the digits of a phone number by Alex again and again while he is getting out his phone to enter it into his contacts is an example of maintenance rehearsal.

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Answer:

1st and 6th option, 35 adult tickets

Step-by-step explanation:

So we know adult tickets are x and children tickets are y.

The total number of tickets is 57, so

x + y = 57

The adult tickets are worth 6 and the children's tickets are worth 2.50.

The total cost is 265.

6x + 2.5y = 265

Now, the system of equations.

6x + 2.5y = 265

-6x - 6y = -342

-3.5y = -77

y = -77/-3.5

y = 22

Plugging y back in

x + 22 = 57

x = 35 adult tickets sold

* $265 worth of tickets were sold

* Adult tickets cost $6

* Child tickets cost $2.50

* 57 tickets were sold

Let x represents the number of adult tickets sold and y as the number of child ticket sold

Which squations equation represents the scenerio? select 2 options

so ,the equations would be

⤿ x + y = 57 ✓

⤿ 6x + 2.5y = 265 ✓

x + y = 57.....(1)

6x + 2.5y = 265.....(2)

Multiplying equation 1st by 6

we get,

6x + 6y = 342 ...(3)

subtracting equation (3) by equation (2)

we get,

6x + 6y = 342

-6x + 2.5y= 265

_____________

ㅤㅤ 3.5y =

ㅤㅤ y = 77/3.5

ㅤㅤ y = 22

_______________

______________________________

_______________________________

_______________________________

Answer

B.105 in 3

Step-by-step explanation:

7 x 5 x 3 = 105

Answer:

B)  Branch A is an exponential function, Branch B is a linear function

Step-by-step explanation:

Branch A is an exponential function as it doubles each week.

Let y = number of visitors

Let x = number of weeks

[tex]y=20(2)^{x-1}[/tex]

Branch B is a linear function as it increases by 4 each week:

Let y = number of visitors

Let x = number of weeks

[tex]y=4x + 16[/tex]

Answer:

x coordinate: 2

y coordinate: -3

explanation:

[tex]\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}[/tex]

solve them by combination:

[tex]\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} x +2x= 1+4[/tex]

[tex]\rightarrow \sf 2.5x=5[/tex]

[tex]\rightarrow \sf x=2[/tex]

Find y:

[tex]\sf y = -2x + 1[/tex]

[tex]\sf y = -2(2) + 1[/tex]

[tex]\sf y = -3[/tex]

Answer:

s=32

Step-by-step explanation:

[tex]\frac{-5}{-5}(s -30) = \frac{-10}{-5}[/tex]

Divide both sides by -5

s-30=2

Add 30 to both sides

[tex]s-30+30=2+30[/tex]

s=32

Answer:

[tex]\displaystyle 6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 9}{-1 + 2} = m; \boxed{6 = m}[/tex]

I am joyous to assist you at any time.