How would two billion, nine hundred seventy-six million, twelve thousand, eight be written

Answer:

Step-by-step explanation:

{7,11,13}

Given:

Fixed cost = $150

Additional cost = $22.50

To find:

The equation that showing the cost of the gala depends on the number of attendees.

Solution:

Let x be the number of attendees and y be the cost of the gala.

Total cost = Fixed cost +Variable cost

We have,

Fixed cost = $150

Variable cost = Additional cost × Number of attendees

                      = [tex]22.50\times x[/tex]

                      = [tex]22.50x[/tex]

Total cost of gala is:

[tex]y=150+22.50x[/tex]

Therefore, the required equation is [tex]y=150+22.50x[/tex].

Answer:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

Step-by-step explanation:

Given

The attached tables of f(x) and g(x)

Required

A new table

For both tables, the x-values are the same.

So, the new table is as follows:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values

After the division, we have:

[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]

By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).

We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).

To do this, let's find each value of that quotient and see which table contains them.

for x = -8 we have:

Then the quotient is:

g(-8)/f(-8) = 54/-6 = -9

There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

Answer:

9/49

Step-by-step explanation:

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

Replace the bead

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

P( green , replace, green) = 3/7 * 3/7 = 9/49

Answer:

437.9

Step-by-step explanation:

Volume is pi*r^2*h=pi*(49)*9=437.9

Answer:

4/5 foot

Step-by-step explanation:

Add the lengths together

1/2 +3/10

Get a common denominator

1/2 *5/5  + 3/10

5/10 + 3/10

8/10

Simplify the fraction by dividing the top and bottom by 2

4/5

[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]

[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]

Now , simplifying the fraction in simplest form.

[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]

Christian have 4/5 foot of tape have now.

Answer:

49

Step-by-step explanation:

the number is "ab" (2 digits).

ab - 10 = 3×(a+b)

a number is actually the sum of multiplying the digits with their associated powers of 10.

a×10 + b - 10 = 3a + 3b

7a - 2b = 10

b-1 = 2×a

b = 2a + 1

7a - 2×(2a+1) = 10

7a - 4a - 2 = 10

3a = 12

a = 4

b = 2×4 + 1 = 9

Answer:

75%

Step-by-step explanation:

9 ÷ 12 = 0.75

0.75 x 100 = 75 = 75%

Answer:

3/4

Step-by-step explanation:

Experimental probability, is the probability determined according to the results of an "experiment" or a trial. In Carla's "experiment", she attempted 12 total shots and made 9 shots. The probability that she made a shot would be 9/12, or 3/4.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

x^ (-19/3)

Step-by-step explanation:

x ^ (-10/3)  ÷ x^3

We know a^b ÷ a^c = a^(b-c)

x ^ (-10/3)  ÷ x^3 = x^(-10/3 - 3) = x^(-10/3 - 9/3) = x^ (-19/3)

Answer:

-6

Step-by-step explanation:

you have to divide both sides by -13

-13x/-13=78/-13

x=-6

remember that the sign also matters.

I hope this helps

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

2x-24

I think that you changes the problem...

you went from a derivative to an inverse ???

y = 1/2x + 14

x = 1/2 y + 14

2x = y + 24

y = 2x-24

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex] (x) = 2x - 28

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 14 ( multiply through by 2 to clear the fraction )

2y = x + 28 ( subtract 28 from both sides )

2y - 28 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = 2x - 28

Step-by-step explanation:

According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.

Thus far, the radius is equated to half the diameter.

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

Answer:  A. 300 m

Work Shown:

L/100 = 15/5

5L = 100*15

5L = 1500

L = 1500/5

L = 300

Answer:

C

Step-by-step explanation:

substitute 2.1 for 't' in the given equation

h = 113.391

Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Step-by-step explanation:

Answer:

eşnatto eşmatoroorlfld

Answer:

Now , Piyush age =3+Honey age

Step-by-step explanation:

Honey age=x

Piyush age=y

1 year ago,Honey age=x-1

Piyush age=y-1

the ratio of Honey and Piyush age=2:3

x-1:y-1=2:3

x-1/y-1=2/3

3(x-1)=2(y-1)

3x-3=2y-2

3x-2y= -2+3

3x-2y=1 eq _1

after 5 years from now,

Honey age=x+5

Piyush age=y+5

the ratio of them=4:5

x+5/y+5=4/5

5(x+5) =4(y+5)

5x+25=4y+20

5x-4y=20-25

5x-4y=-5 _eq2

eq1and 2_

5x-4y= -5

3x-2y= 1

-

2x-2y=-6

x-y =-3

-y=-3-x

y=3+x

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

Answer:

Jack

Step-by-step explanation:

convert the fractions to decimals to determine the person that painted the larger part of the wall

5/8 = 0.625

7/12 = 0.583

the fraction Jack painted is larger.

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

Answer:

C

Step-by-step explanation:

the center is (-7,5) and the radius is 2

Answer:

6 -8n

Step-by-step explanation:

2/3 (9-12n)

Distribute

2/3 *9 - 2/3 *12n

6 -8n

Answer:

Answer is 3.398

Step-by-step explanation:

Solve by putting into calculator.

Answer:

a and b) 256

c) 5

d) 400

e) 10

Step-by-step explanation:

160(2) - 16(2)² = 320 - 64 = 256

h(2) = 256

find zeros

0 = -16x²-160x

0 = -16x(x-10)

-16x=0    x = 0

0 = x-10   x = 10

Δx₁,x₂ = 10/2 = 5    max height is at x = 5

find max height using x-value:

-16(5)²+160(5) = -80 + 480 = 400

for e) use second root (x = 10)