Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

Answer:

common ratio is 9

mark me brainilest:)

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x

=3.14 * 3.14 * 3.14 * x * x * x * x

=30.959144 * x^4

=30.959144x^4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

30.959144(x^4)

Answer:

1/5

Step-by-step explanation:

there are 10 in total which means for every toy there is a 10 percent chance. Because he has 2 taxis, there would be a 20 percent chance which equals 1/5

Answer:

It's Positive

Step-by-step explanation:

Step-by-step explanation:

put 8 in both boxes

then it's

40-2(7)

40-14 = 26

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm

[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm

The surface area of a cylinder

We know the formula of surface area of a cylinder is –

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)

= [tex] \frac{220}{7} [/tex](5 + 10)

= [tex] \frac{220}{7} [/tex] × 15

= [tex] \frac{220 \: × \: 15}{7} [/tex]

= [tex] \frac{3300}{7} [/tex]

= 471.43 cm²

Answer:

b

Step-by-step explanation:

i took the test

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Answer:

More Expensive

Step-by-step explanation:

If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Answer:

C

Step-by-step explanation:

The surface area can be found through the formula

SA=2A+(a+b+c)h

in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.

Answer:

8

i hope this will help you

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Answer:

-1

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -x + 7

    m = -1

Answer:

B

Step-by-step explanation:

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

From the given logarithmic values the value of log45 derived as 0.1590.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ2

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

Answer:

edfghjnsdfghjkm

Step-by-step explanation:

Answer:

(10x+2)−(2x−7)

Step-by-step explanation:

(10x−2)−(−2x+7) = 10x−2+2x-7

(10x+2)−(2x−7) = 10x−2−2x+7

(7x−5)−(5x−4) = 7x−5− 5x+4

Answer:

Steps:

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180