Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.

6, 14, 6, 18, 9, 9, 12, 10, 11, 15
Which statement is true about the number of books packed to a box?

Answer:

Pentagonal Pyrimid

Step-by-step explanation:

Ignore the negative sign, since that only affects the sign of the final product

3415₇ × 432₇

You can compute the product by considering the digit expansion, by which I mean first expanding each number as sums of powers of 7:

3415₇ = 3000₇ + 400₇ + 10₇ + 5₇

(It's the same thing as writing, for example, the decimal 3415 as 3000 + 400 + 10 + 5, just in a different base.)

Similarly,

432₇ = 400₇ + 30₇ + 2₇

Then apply the distributive property:

= (3000₇ + 400₇ + 10₇ + 5₇) × (400₇ + 30₇ + 2₇)

= 3000₇ × (400₇ + 30₇ + 2₇)

… + 400₇ × (400₇ + 30₇ + 2₇)

… + 10₇ × (400₇ + 30₇ + 2₇)

… + 5₇ × (400₇ + 30₇ + 2₇)

= {12}00000₇ + {9}0000₇ + 6000₇

… + {16}0000₇ + {12}000₇ + {8}00₇

… + 4000₇ + 300₇ + 20₇

… + {20}00₇ + {15}0₇ + {10}₇

where I use the curly braces to indicate products (written in base 10) of digits that exceed 6. Anything in these braces needs to be properly converted to base 7. For example,

{12}₇ = 7 + 5 = 15₇

So you would have

= 1500000₇ + 120000₇ + 6000₇

… + 220000₇ + 15000₇ + 1100₇

… + 4000₇ + 300₇ + 20₇

… + 2600₇ + 210₇ + 13₇

Add everything up:

• In the 7⁰ place,

3₇

• In the 7¹ place,

1₇ + 1₇ + 2₇ = 4₇

• In the 7² place,

2₇ + 6₇ + 3₇ + 1₇ = {12}₇ = 15₇

• Carry the 1 (underlined). In the 7³ place,

2₇ + 4₇ + 1₇ + 5₇ + 6₇ + 1₇ = {19}₇ = 25₇

• Carry the 2. In the 7⁴ place,

1₇ + 2₇ + 2₇ + 2₇ = {7}₇ = 10₇

• Carry the 1. In the 7⁵ place,

2₇ + 1₇ + 5₇ + 1₇ = {9}₇ = 12₇

• Carry the 1. In the 7⁶ place,

1₇ + 1₇ = 2₇

So, we end up with

3415₇ × 432₇ = 22045543₇

and thus

3415₇ × (-432₇) = -22045543₇

Answer:

Answer:

x=4

Step-by-step explanation:

By SAS we know that

[tex]\triangle ABE \sim \triangle ADC[/tex]

by a ratio of

[tex]1:2[/tex]

so we have

[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]

Answer: 6600

Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

​

start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.

\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd

Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54

Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

​

x

​

=$1.54

=

0.055

$1.54

​

=6600

Answer:

Its either 60.625 or 90

Step-by-step explanation:

((2470 - 470)/16) - 35

(2000/16) - 35

125 - 35

90

90 is true if you made a mistake in adding two 470's, but if this is the actual equation, it is 60.625

(or when you follow the order of the numbers it becomes the 61 number)

Answer:

-5

Step-by-step explanation:

The equation given is written in slope-intercept form (y = mx + b). In this form, 'm' represents the slope of a line and 'b' represents the y-intercept of the line. Since the equation asks for the slope, we can simply look at the value of 'm' in the equation. Then, we will find the slope.

slope - intercept form

y = mx + b

given equation

-y = -5x + 9

values

m = slope = -5

b = y-intercept = 9

Answer:

Dimensions of the box:

x =  1,26  ( the side of the square base )

h = 2,52   the heigh of the cube

Step-by-step explanation:

V(b)  = x² *h      x is the side of the square base, and h the heigh of the cube

The surface area of such cube is:

Area of the base   A(b)  = x²

Lateral area is  4*x*h

A(c) = x²  +  4*x*h

Now   x² * h  = v = 4 m³       ⇒  h = 4/x²   and

A(x)   =  x²   +  4/x

Tacking derivatives on both side of the equation:

A´(x)  =  2*x - 4/x²

A´(x) = 0       2*x  - 4/x²  =  0        ⇒   2*x³  -  4   = 0

x³  = 2

x  = 1,26 m

And  h = 4/(1,26)²        ⇒     h  =  2,52 m

How do we know the value of  x  =  1,26 is for a minimum value of A(x)

We find the second derivative of  A(x)

A´´(x)  =  2  -  (-4*2*x/x⁴)

A´´(x)  =  2  + 8/x³       is positive  A´´(x)  >  0

Then function A(x) has a minimum value at x = 1,26

Answer:

Adélie penguins= 826,680

Step-by-step explanation:

Giving the following information:

Total penguin population= 1,503,054

Adélie penguins= 55%

To calculate the number of Adélie penguins, we need to use the following formula:

Adélie penguins= total penguin polulation*proportion of Adélie penguins

Adélie penguins= 1,503,054*0.55

Adélie penguins= 826,680

its not 65% americans like all

The standard error of the sample proportion is 0.0002275

The standard error of a proportion p in a sample of size n is given by:

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

Now it is given that,

Number of people selected is 1000.

So, sample size, n 1000

Americans prefer chocolate = 65%

Thus, proportion, p = 0.65

So, standard error of a proportion is given as,

[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]

[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]

[tex]S= 0.0002275[/tex]

this is the required standard error of the sample proportion.

Thus, the standard error of the sample proportion is 0.0002275.

To learn more about standard error of a proportion visit :

https://brainly.com/question/24292958

#SPJ2

Step-by-step explanation:

The correct answer is: Point B.

The easiest way to solve this is to make the fraction, 3/5, to a decimal.

3/5 = 0.6

Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: rate this 5 stars or your gay

Step-by-step explanation:

Just do it

Answer:

She received $18.11

Step-by-step explanation:

25.63-7.52= $18.11

Answer:

8. $18.11

10. 71

Step-by-step explanation:

25.63 - 7.52 = 18.11

90 - 19 = She is old. JK

90 - 19 = 71

Answer:

1. 400 ÷ 4 = 100

2. 320 ÷ 4 = 80

3. 360 ÷ 9 = 40

4. 5000 ÷ 5 = 1000

5. 3000 ÷ 5 = 600

Answer:

1:100

2:80

3:40

4:1000

5:600

Step-by-step explanation:

Answer:

4x and -2x

Step-by-step explanation:

Answer:

The like terms are 4x and 2x.

Step-by-step explanation:

4x and 2x have x as their variable.

Answer:

x=14

Step-by-step explanation:

this is you're answer please thanks me

Answer:

5 pennies

3 dimes

Step-by-step explanation:

Answer:

3 dimes and 5 pennies

Step-by-step explanation:

Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.

Hope this helps!

Answer:

Step-by-step explanation:

500×30=15000

Not exactly correct.

y=mx+b Slope is m and y intercept is b.

So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.

Thus, your equation is y=7x+4

[tex]\underline{Hope\;it\;helps\;out!}[/tex]

Answer:

See Explanation

Step-by-step explanation:

Class size = 200 - 150 = 50

Class mark = (150 + 200)/2 = 350/2 = 175

Lowe limit = 150

Upper limit = 200

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

Answer:

The answer is Seven plus Four A.

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

Answer:

a. 1.2

Step-by-step explanation:

From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

Correct Answer is B

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (−3,−10)

Focus: (−3,−[tex]\frac{39}{4}[/tex])

Axis of Symmetry: x = −3

Directrix: y = −[tex]\frac{41}{4}[/tex]

x               y

-5             -6

-4             -9

-3            -10

-2             -9

-1              -6