What is the next fraction in this sequence? Simplify your answer.
5/6, 2/3, 1/2, 1/3, ...

Answer:

Graph is below.

Step-by-step explanation:

The solutions of the equations are : x = [8 ± √ 40] / 4

Given,

Y=2x² - 8x+3

Now,

To get the solution of equation equate it to 0 .

2x² - 8x+3  = 0

By quadratic formula,

x = -b ± √ b² - 4ac/2a

Substitute the values in the formula,

x = [8 ± √ 64 - 4(2)(3)] / 2* 2

x = [8 ± √ 40] / 4

Now plot the points in the graph. The graph is attached below.

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Answer:

1/2

Step-by-step explanation:

because Mackenzie chose two candles and we are to find the probility that he selects a polka dot candle

The two functions have equivalent zeros if k = 60.

Here we have two functions which are:

f(x) = 4x - 20

g(x) = -12x + k

We want these two functions to have equivalent zeros, so first let's find the zero of f(x), we will get:

f(x) = 4x - 20 =0

4x  = 20

x = 20/4

x = 5

And that must also be a zero of g(x), then:

-12*5 + k = 0

Solving this for k.

-60 + k = 0

k = 60

That must be the value of k.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer:

a

Step-by-step explanation:

Answer:

1. (2x - 2y)² - 9

2. 99099

Step-by-step explanation:

We know the a+b formula :

(a-b)² = a² - 2ab + b²

1. 4(x-y)^2 -9

4(x² - 2xy + y²) - 9

4x² - 8xy + 4y² - 9

(2x - 2y)² - 9

2. 1001 × 99​

= 99099

1001

×  99                                                                                                                           ----------

9009

9009×                                                                                                                          -----------                                                                                                                      99099

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

The answer will be 63%.

Step-by-step explanation:

they have all ready mentioned that.

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The length of the segments AB and BC if AC = 20  then:

AB = 12cm

BC = 8cm

In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.

Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.

We know that:

a:b=c:d as a/b=c/d

AB:BC = 3:2

is AB/BC=3/2

AB=3/2*BC

AC=20=AB+BC

So,

20=3/2*BC+BC

13/2BC=20

BC=8cm

AB=20-8=12cm

The length of the segments AB and BC if AC = 20  then:

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Answer:

12

Step-by-step explanation:

9x12=108

Answer:

length is 12

Step-by-step explanation:

108 divided by 9 is 12

Answer: 1

Step-by-step explanation:  It's subtraction and add ion look at the right side

The cost of renting a kayak for 6 days is $450

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To solve this, we simply need to find the value of n and then substitute it into the function.

The given function is k(n) = 120 + 55n. The value of n is k(9 - 3) = k(6)

Let's substitute n = 6 into the function;

k(6) = 120 + 55(6)k(6) = 450

The cost of renting is $450

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The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.

In statistics, the critical value is a value that is used to determine whether to reject the null hypothesis in a hypothesis test. It is based on the chosen level of significance, which is the maximum probability of making a Type I error (rejecting a true null hypothesis). The critical value is determined by the sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.

To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.

Using a t-distribution table with 21 degrees of freedom (n-1), we find that the critical value for a 99% confidence level is approximately 2.819.

Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).

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3) We have a model that relates the number of trees and time, expressed in months (m).

This relation is:

We can find the month m where the number of trees is N(m) = 1096 as:

Answer: The number of trees will be 1096 after m = 2 months [Option A]

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

Where is the question??

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Answer and Step-by-step explanation:

There aren't any real roots.

This is because the equation isn't factorable. You would have to use the quadratic formula to find the roots, which would be imaginary roots, and not real roots.

#teamtrees #PAW (Plant And Water)

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Answer:

H0​: μ ____ ≤ 31

H1​: μ ____  > 31  

The​ z-test statistic is ____  0.0369

The critical​ z-score(s) is(are) ____ ± 2.33

Because the test statistic _____________ falls within the critical values,

______do not reject, the null hypothesis.

Step-by-step explanation:

We want to find that the average class size is 31 or less so we set up our hypothesis as

H0​: μ ____ ≤ 31

H1​: μ ____  > 31   One tailed test

Here

Sample size = n=  40

Sample mean = x`= 33.1

Standard Deviation = σ= 9

Level of significance=∝= 0.01

The​ z-test statistic is ____  0.0369

z= x`- u/σ/√n

z= 33.1-31/9/√40

z= 2.1/56.92099= 0.03689= 0.0369

Z∝ for one tailed test for 0.01 significance level is ± 2.33

The critical​ z-score(s) is(are) ____ ± 2.33

Since the calculated value falls in the acceptance region we accept H0​: μ ≤ 31 and reject alternate hypothesis H1​: μ   > 31.

Because the test statistic _____________ falls within the critical values,

______do not reject, the null hypothesis.

Answer:

l = 1.8 feet

Step-by-step explanation:

Given that,

The time period of the pendulum, T = 2.7 seconds

We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :

\(T=2\pi \sqrt{\dfrac{l}{g}}\)

Where

l is the length of the swing.

\(T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}\)

So, the length of the swing is 1.8 feet long.

Answer:5.4

Step-by-step explanation:

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

15 x 17 x 10 ft = __

Step-by-step explanation:

MMultiply the numbers and divided by 800. That should lead you! :D

Answer:

9 cans of soup and 4 frozen dinners

Step-by-step explanation:

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Answer:

y-1 = 3(x-2)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-1 = 3(x-2)