1 in = 2.45 how many centimeters equal 13 in

Answer:

1) y = (x-3)²-12

2) y = 5(x-2)²-9

Step-by-step explanation:

Given the quadratic expressions

y=x²-6x-3

We are to transform it in the form y=ax²+bx+c

y=(x²-6x)-3

Complete the square of the expression in parenthesis

y = (x²-6x + (6/2)² - (6/2)²)-3

y = (x²-6x+3²-3²)-3

y = (x²-6x+9-9)-3

y = (x²-6x+9)-12

y = (x²-3x-3x+9)-12

y = x(x-3)-3(x-3)-12

y = (x-3)(x-3)-12

y = (x-3)²-12

Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12

For the quadratic equation

y=(5x²-20x)-5

y = 5(x²-4x)- 5

Complete the square of the expression in parenthesis

y = 5(x²-4x+4-4)- 5

y = 5(x²-4x+4)-9

y = 5(x-2)²-9

Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9

Answer:

$15 dependant variable, month is the independent variable

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

Answer:

B. -2

Step-by-step explanation:

A relation that is not a function would have one x-value having two different corresponding y-values.

If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways

Answer:

sum of interior angle of polygon = (2N-4) X 90 where N =number of sides

so (2N-4)x90=1980

therefore N=13.

therefore polygon has 13 sides

Answer:

To know how many sides has this polygon, knowing the sum of their interior angles, we can use this expression:

b = (n-2) * 180

Where b is the sum of the interior numbers and n the number of sides.

Knowing this, we can replace, as we kno w it

b = (n-2)) * 180

1980 = (n-2)*180

We can know solve the equation

We can use this distributive property to operate the parenthesis, which says that if we find this expression a(b+c), we can operate doing ab+ac, and, if we substract, we can also use it, as a(b-c) = ab-ac

1980 = (n-2)*180

1980 = 180n - 180*2 = 180n - 360

1980 = 180n - 360

1980 + 360 = 180n

[tex]\frac{1980+360}{180} = n.[/tex]

13 = n

So we know the polygon will have 13 sides..

Answer:

Total different numbers = 400

Step-by-step explanation:

Assume;

Smallest number bigger than 7999( multiple of 5) = 8,000

largest 4 digit number multiple of 5) = 9,995

Computation:

a = 8,000

d = 5

an = 9,995

an = a + (n-1)d

9,995 = 8,000 + (n-1)5

1,995 = (n-1)5

399 = n-1

n = 400

Total different numbers = 400

Answer:

400 words in 10 minutes

Step-by-step explanation:

If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.

Answer: There were 741 books in the library a year later.

Step-by-step explanation:

Given: Total books in library = 570

Number of books increased by 30%.

One year later, Number of books in the library = (Total books in library) + 30% x (Total books in library)

= 570 + (0.30) x (570)

= 570 (1+0.30)

= 570 (1.30)

= 741

Hence, there were 741 books in the library a year later.

Answer:

2

Step-by-step explanation:

substitute x=0 and find y

Answer:

2.50C +5.00A=95

Step-by-step explanation:

In this equation, C represents the number of children attending and the A represents the amount of adults attending.

Answer:

F(2)=3

Step-by-step explanation:

Answer:

The equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Step-by-step explanation:

Chad and Eric left a 20% tip after having lunch at a restaurant.

Cost of Chad Lunch = $10

Let Cost of Eric's lunch = x

So, Total cost of Chad and Eric's Lunch = x+10

Now, they left a 20% tip

it means 20% of total cost of lunch

20% can be written as 0.2

So, 0.2 of total cost of lunch is tip of the meal

We can write: 0.2 of (x+10)

or 0.2(x+10)

Looking at options, considering $5 was the amount of tip, the final equation will be:

[tex]0.2(x+10)=5[/tex]

So, the equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Answer:

5/13

Step-by-step explanation:

by using SO TO CA

H A H

sin can be obtained

Answer:

It's a.

Step-by-step explanation:

15s*3+180＝225

30s*3+180＝270

60s*3+180＝360

30s*3+180＝270

Given:

The function is

[tex]f(x)=\log_5(x)[/tex]

To find:

The graph of the given function.

Solution:

We have,

[tex]f(x)=\log_5(x)[/tex]

At x=1,

[tex]f(1)=\log_5(1)[/tex]

[tex]f(1)=0[/tex]        [tex][\because \log_a(1)=0, a>0][/tex]At x=5,

[tex]f(5)=\log_5(5)[/tex]

[tex]f(5)=1[/tex]      [tex][\because \log_aa=1][/tex]

So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.

Therefore, the correct option is A.

Answer:

168

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]

(a) Surface area of the bobble,

[tex]s=4\pi r^2[/tex]

So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]

The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]

By using equation (i)

The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]

[tex]=(1.04^2-1)\times 100[/tex]

=8.160%

Therefore, the percentage change in the surface area is 8.160%

(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]

So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]

Percentage change in the volume =

[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]

[tex]=(1.04^3-1)100[/tex] [by using equation (i)]

=12.486%

Therefore, the percentage change in the volume is 12.486%.

Answer:

Step-by-step explanation:

5 miles = 8 km

Then:

Then 27.4 miles is:

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

e. After another 10 years (on the top of 5 given) the investment will be:

f. After 20 years the value of investment will be:

Answer = 33.75%

Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.

.45*75 = 33.75 of the original 100 Applicants have enrolled.

Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24