simplify and answer
step by step
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Answer:

708 books on each shelf!!?!!

Step-by-step explanation:

1,845 + 4,527 = 6372

6,372 ÷ 9 = 708

If I am right, please give me brainliest!!!!

- Hermionia

9514 1404 393

Answer:

  11. y = -1/4x² +1

  12. y = 1/6(x -3)² +5/2

Step-by-step explanation:

Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.

The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...

  y = 1/(2(b-d))(x -a)² +(b+d)/2

__

11. For (a, b) = (0, 0) and d = 2, the equation is ...

  y = 1/(2(0-2))(x -0)² +(0+2)/2

  y = -1/4x² +1

__

12. For (a, b) = (3, 4) and d = 1, the equation is ...

  y = 1/(2(4-1))(x -3)² +(4+1)/2

  y = 1/6(x -3)² +5/2

__

The attachments show the graphs of these. You can verify the graph by noticing ...

  a) the vertex is halfway between the focus and directrix

  b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve

Step-by-step explanation:

4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).

Answer:

thats a lot hold up

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

Answer:

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is: [tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}[/tex]

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13[/tex]

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5[/tex]

So, the mean absolute deviation of the following set of data is 4.5

Answer:

The volume of the resulting cylinder is 385 cm³

Step-by-step explanation:

The formula of the rule of a cylinder is V = π r² h, where

When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder

∵ ABCD is a rectangle

∵ It is folded where AB coincides with DC

∴ AB is the height of the resulted cylinder

∴ BC is the circumference of the base of the resulted cylinder

∵ AB = 10 cm

∴ h = 10 cm

∵ BC = 22 cm

∴ The circumfrence  of the base = 22 cm

∵ The circumference of a circle = 2 π r

→ Equate the rule by 22 to find r

∴ 2 π r = 22

∵ π = [tex]\frac{22}{7}[/tex]

∴ 2 × [tex]\frac{22}{7}[/tex] × r = 22

∴ [tex]\frac{44}{7}[/tex] r = 22

→ Divide both sides by [tex]\frac{44}{7}[/tex]

∴ r = 3.5 cm

→ Use the formula of the volume above to find the volume of the cylinder

∵ V = [tex]\frac{22}{7}[/tex] × (3.5)² × (10)

∴ V = 385 cm³

∴ The volume of the resulted cylinder is 385 cm³

Answer:

B. 11

Step-by-step explanation:

We can try it for each

10*2+5=25

25-10=15❌

11*2+5=27

27-11=16 ✔

12*2+5=29

29-12=17❌

6*2+5=17

16-6=11❌

So it's B

Answer:

just use the pie sign in your calculator

pi = 3.1415926535898

This is something you either memorize, have on a flashcard, or just let your calculator handle the details. The digits of pi are effectively random and do not repeat with a known pattern.

Answer:

$150

Step-by-step explanation:

Given

Delivery amount = $120

Percent tip on the delivery amount = 15%

Tip amount = 15% * 120

Tip amount = 0.15 * 120 = $30

Total money paid = Delivery amount + Tip

Total money paid  = $120 + $30

Total money paid = $150

hence the total money you will give the delivery boy is $150

Answer:

The answer is "The first choice"

Step-by-step explanation:

In the given question the first choice is correct because When the zero assumption was valid, it would have been at least as bad to also be 2% to demonstrate a discrepancy as observed difference.

Answer:

The distance between the two jets is approximately 2.947 kilometers.

Step-by-step explanation:

From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:

[tex]\vec r = (r, \theta)[/tex] (1)

Where:

[tex]r[/tex] - Distance of the jet from the origin, measured in kilometers.

[tex]\theta[/tex] - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.

To transform polar coordinates into rectangular coordinates, we use the following expressions:

[tex]x = r\cdot \cos \theta[/tex] (2)

[tex]y = r\cdot \sin \theta[/tex] (3)

And lastly, we determine the distance between the two jets ([tex]d[/tex]), measured in kilometers, by the Pythagorean Theorem:

[tex]d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}[/tex] (4)

If we know that [tex]r_{2} = 4\,km[/tex], [tex]\theta_{2} = 150^{\circ}[/tex], [tex]r_{1} = 2\,km[/tex] and [tex]\theta_{1} = 195^{\circ}[/tex], the distance between the two jets is:

[tex]d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}[/tex]

[tex]d \approx 2.947\,km[/tex]

The distance between the two jets is approximately 2.947 kilometers.

Answer:

1. 18(2+3)

2. Dylan needs 1.375 more liters

Step-by-step explanation:

1. 36 and 54

2x3x3x2 =36

54 = 2x3x3x3

common factor = 3x3x2 or 18.

1. 18(2+3)

2.5-1.125

2.5000

- 1.125

1.375

Hope this helps!

Btw, i answered your question before!

Answer:

Step-by-step explanation:

(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1

y - 0 = -1(x + 2)

y = -x - 2

slope is -1

Answer:

(c) is correct.

Step-by-step explanation:

When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.

In this given figure,

Line TW and RU cross each other at Q, it means

[tex]\angle RQW=\angle TQU[/tex] (vertically opposite angles)

Hence, the correct option is (c).

Answer:

1 - 5

2 - 7

Step-by-step explanation:

Plug the x values into the equation.

I can't see to do all of them, so I'll just do the first two.

1. y=2(1)+3

= 2 + 3 = 5

2. 2(2) + 3

= 4 + 3= 7

Answer:

approximately 84.5

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

60*0.15 is 9

Hope this helps plz hit the crown :D

Good Morning :^)

Question:

Yesterday, Bethany sent 60 text messages. She said that 15% of those

messages were to her best friend. How many text messages did Bethany

send to her best friend yesterday?

Well, let's figure this out!

Y is 15% of 60

Equation: Y = P% × X

First Step: Solve our equation for Y

Y = P% × X

Y = 15% × 60

Second Step: Convert percent to decimal:

p = 15%/100 = 0.15

Y = 0.15 * 60

Y = 9

Answer: Yesterday, Bethany sent 9 text messages to her best friend.

Step-by-step explanation:

A. Absolute value is the sign of the number.

Answer:

X=1

Step-by-step explanation:

-10x-2=-3x-9

-10x-2+2=-3x-9+2

-10x=-3x-7

-10x+3x=-3x-7+3x

-7x=-7

Then divide both sides by -7

x=1

Answer:

35%

Step-by-step explanation:

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

Answer:

0.0001825

Step-by-step explanation:

First you find out what 10 to the -4th power is after that you multiply the decimal shown (1.825) you start moving the number behind the decimal and you have your answer 0.0001825

Answer:

0.0001825

Step-by-step explanation:

Answer:

sorrie

Step-by-step explanation:

nothing here ;)

Answer:

with what I'm here to awnser

Step-by-step explanation:

3x-5y =13......eq(1)

x+4y=10....eq (2)

multiply the eq 2 with 3

then it becomes,

3x+12y=30

Subtracting eq2 from eq 1

3x-3x-5y-12y=13-30

-17y=-27

y=1.588

x+6.352=10

x=3.648

Answer:

i am very positive that the answer is 6'1

Answer:

a.

Step-by-step explanation:

its 8 hope this helps!

Answer:

B (x=10)

Step-by-step explanation:

A) Distribute 4 to x and -6 (basically multiply 4 to x, then 4 to -6)

B) (Resulting equation): 4x-24=16

C) Add +24 to each side of the equation

D) (Resulting equation): 4x=40

E) Divide each side by 4 in order to isolate the x variable

F) (Resulting equation): x=10

Answer:

hi

Step-by-step explanation: