50:57
If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?
O 6
o 18
O 30
0 36

Answer:

D

Step-by-step explanation:

The y coordinate on the graph can be any number under 0, as the horizontal asymptote is 0.

We are given the following equation system:

The slope-intercept form of a linear equation is the following:

Taking equation (1):

Now we solve for "y". To do that we add 4x to both sides:

Now, taking equation (2):

Adding 8x to both side:

Dividing both sides by 8:

The graph of both equations are the following:

Since the graphs of each line do not have the same slope, they are a consistent system and are independent. The solution is the point where the two lines intercept, that is (x,y) = (-6,-8).

Answer:

c

Step-by-step explanation:

12/18 = 2/3

Answer:c

Step-y-step explanat:c

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

Answer:a

Step-by-step explanation:trust me bro

So, the question says you'll need three containers of water per concentrated mix. The ratio of water to concentrated mix will be:

3:1

Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

#SPJ1

Answer:

A equilateral

Step-by-step explanation:

hey, its equilateral because all sides of the triangle are the same length

Answer:

A-40

B-140

C-140

Step-by-step explanation:

b and c are supplementary angles to angle 40.

Therefore 180-40= 140.

and opposite angles in a quadrilateral are congruent to each other.

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

40

Step-by-step explanation:

The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is  1

The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:

R = (f(b) - f(a))/(b - a)

Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:

g(-1) =  -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35

g(-9) = -(-9)² -9*-9 + 27 = 27

Replacing that in the formula we can get the rate of change is:

R = (35 - 27)/(-1 + 9) = 8/8 = 1

Learn more about rates of change.

https://brainly.com/question/8728504

#SPJ1

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

Learn more about simplification here: https://brainly.com/question/28008382

#SPJ1

The image point of the coordinate X after the rotation is (-1, 5).

When a point is rotated 90° clockwise around the origin, the new point will be formed by switching the x and y-coordinates and then negating the new x-coordinate.

So for point X (-5, -1), the new x-coordinate will be -1, and the new y-coordinate will be -(-5) = 5, giving the new point (-1, 5).

Therefore, after a rotation of 90° clockwise, point X (-5, -1) will be at the new location (-1, 5).

Read mroe about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Problem 1

With simple interest, we take a percentage of the loan amount (or deposit depending how you frame things) to determine the interest paid or earned.

The simple interest formula is

i = P*r*t

Let's look at an example: You deposit $100 into an account earning 5% simple interest. You want to know how much interest you earn over 2 years.

i = P*r*t

i = 100*0.05*2

i = 10

You've earned $10 in simple interest. Notice how this is 10% of the original deposit ($100). You can think of the 5% interest rate doubling to 10% because we're working over a 2 year period.

---------------------------------

Compound interest is where we can't take a simple percentage of the deposit. This is because we must use this formula

A = P*(1+r/n)^(n*t)

variables are:

An example: You deposit $100 at an interest rate of 5%. The interest is compounded quarterly (4 times a year). How much interest have you made in 2 years?

The input values will be

So,

A = P*(1+r/n)^(n*t)

A = 100*(1+0.05/4)^(4*2)

A = 110.448610118141

A = 110.45

i = interest

i = A - P

i = 110.45 - 100

i = 10.45

You've made $10.45 in interest over the two year period.

As you can see, we used an exponential function to determine compound interest. Whereas with simple interest, the function was linear. Exponential functions grow much faster compared to linear functions.

======================================================

Problem 2

Savings accounts offer higher interest rates, which encourages people to save their money (hence the name). Checking accounts on the other hand are used to write checks and are there for immediate withdrawals of cash. Checking accounts are also used for debit cards, such as for online shopping.

Both types of accounts are useful in their own different ways. Linking them together is handy to quickly move money without having to deal with tons of paperwork and/or lots of time spent.

======================================================

Problem 3

APR = annual percentage rate

APY = annual percentage yield

The APR value is often the stated item on a loan, since it is the smaller of the two values. When it comes to savings accounts in banks, they tend to state the APY value since it is larger.

Let's look at an example:

The APR is 5% and the money is compounded monthly (12 times a year). Compute the APY.

----------

Solution:

The formula we use is

y = (1+r/n)^n

where y is the APY and r is the APR

In this case we have

Giving us the following

y = (1+r/n)^n - 1

y = (1+0.05/12)^12 - 1

y = 1.05116189788173 - 1

y = 0.0512

Then multiply that by 100, aka move the decimal point two spots to the right, to arrive at an APY of approximately 5.12%

This example demonstrates how compound interest slightly bumps up the amount of return. We've gone from 5.00% to 5.12%

This slight increase is because the money is compounded 12 times a year. Each time we compound, we're adding to the pile ever so slightly. There's a limit to this process (see the continuous compounding interest formula); i.e. we can't grow the APY forever.

If we were using simple interest, then the APY formula shown above would not apply. For simple interest situations, the APY and APR are the same value.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

Learn more about parabola here:

https://brainly.com/question/28094027

#SPJ1

Answer:

give it

Step-by-step explanation:

Answer: 18x -15 -y =0

Step-by-step explanation:

because linear equations in two variables are always in the format of ax+by+c=0

where a,b and c are constant terms

in this case a = 18; ax= 18x

b= -1 , by= -y

c= 15

Answer:

90x + 75 = 90x + 12, they don't intersect

Step-by-step explanation:

18x + 15 - y = 0

5y = 90x + 12

1. We will be using substitution, to do so, bring y to the other side in the first eqaution.

18x + 15 - y = 0

18x + 15 = y

2. Now plug in 18x+15 into the second equation

5(18x + 15) = 90x + 12

3. Distribute and solve for x

90x + 75 = 90x + 12

Because the slopes are the same (90x) this means that the system does not have an intersect.

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Answer:

-13 = x

Step-by-step explanation:

:))

Answer: x = 13

Step-by-step explanation:

First subtract -4 on both sides because your adding by 4

-x + 4 = -9

    -  4    -4

The 4 - 4 cancels out

So, -9 - 4 is -13

Then we change the sign because we cannot leave x negative.

-x = -13

x = 13  

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

Read more on function here: https://brainly.com/question/10687170

#SPJ1

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Step-by-step explanation:

1. 1/9 of 450

of is multiply

1/9 × 450

= ???

2. 15/60 = decimal number

change number to percentage = ???

I dont know what 3 is

put answers to 1 and 2 in comments i will mark if u don't understand comment

please mark brainiest