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3 years ago

Find the percent of change from 15 books to 20 books. I AM SO LOST

Mathematics

2 answers:

vivado [14]3 years ago

4 0

Answer:

33.3333333333

Step-by-step explanation:

masha68 [24]3 years ago

3 0

Answer:

33.3333% increase

Step-by-step explanation:

simplify....

15:20

Calculate percentage change

from V1 = 15 to V2 = 20

(V2−V1) |V1| ×100

= (20−15) |15| ×100

= 515×100

= 0.333333×100

= 33.3333%change

= 33.3333%increase

It's an increase cuz your going up and not going down a number

Hope this helped a little!

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

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3 years ago

What dose an expression n+3 represent

babunello [35]

The expression (n+3) represents the measure of an exterior angle of a regular octadecagonal.

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3 years ago

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Admission to a home and garden show cost $7 per person during the week and $9 per person on the weekend. During one week of the

bulgar [2K]

For b) you already have two possibilities, since you have the intercepts.
(20358, 0) and (0,15834) are two possible points, although not very likely. 

Solve for y: y= (-7/9)x + 15834 

Any multiple of 9 will give whole number answers. 

Let x= 9 
Then y= (-7/9)(9)+ 15834 
Y= 15827 

If you want more reasonable answers, let x= 9000 
Then y= (-7/9)(9000)+ 15834 
Y= 8834

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3 years ago

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What does it mean when a number is out of the parenthesis? Example 3($28+$32)-$10=

777dan777 [17]

When the number is out of parenthesis it means it is multiplying the number between the parenthesis
example - 3 ( 28 + 32 ) => 3 ( 60)
which means 3 * 60 = 180

Note:- you cannot multiply the numbers when they are 3 ( 28 + 32 ) because you have to use PEMDAS ( order of operation ) to solve the problem where P = parenthesis , E = exponents, M = multiplication, D = divide , A = addition , S = subtract.

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3 years ago

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

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Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

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