what is 8/1 times 5/2

Answer:

Step-by-step explanation:

I'm going to guess that the question is "How do you represent the distance between the left and right sides?"

The red dots are closed which means that the end points are included.

5 ≤  x  ≤  8

The length is 8 - 5 = 3

The rate of change is how much a quantity have changed relative to another,

Let:

\(P \to\) Pressure

\(V \to\) Volume

Where:

\(V(p) = \frac 1p\)

(a) Average rate of change from p = 7 to 8.

The average rate of change (m) is calculated using:

\(m =\frac{V(p_2) - V(p_1)}{p_2 - p_1}\)

So, we have:

\(m =\frac{V(8) - V(7)}{8-7}\)

\(m =\frac{V(8) - V(7)}{1}\)

\(m =V(8) - V(7)\)

Calculate V(8) and V(7)

\(m = \frac 18 - \frac 17\)

Take LCM

\(m = \frac {7-8}{42}\)

\(m = -\frac {1}{42}\)

(b) The Rate of change at p = 7

We have:

\(V(p) = \frac 1p\)

Differentiate, to calculate the rate of change of V with respect to P

\(V' = -\frac 1{p^2}\)

Substitute 7 for p

\(V' = -\frac 1{7^2}\)

\(V' = -\frac 1{49}\)

Hence, the rate of change with respect to p at p = 7 is -1/49

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Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

We will investigate how to use linear relations to determine the amount of earnings made from babysitting service.

The earnings ( y ) are expressed as a function of babysitting hours ( x ) as a linear function as follows:

a) We will use the above given linear model to determine the amount of money earned if one babysits for 4 hours.

We will declare the given variable:

The function variable ( y ) i.e the amount of earnings can be determined from the given linear equation:

The amount of money earned against 4 hours of babysitting is:

b) We will determine the number of hours off babysitting calendered for the month given that we have $210 in our bank.

We will declare the given variable:

The function variable ( y ) i.e the amount of earnings can be determined from the given linear equation:

The amount of hours accumulated for babysitting in this month is:

The distance covered by the Passenger train is 570 miles.

We have the following situation in which a passenger train left a station traveling East at 57 mph and at the same time, a freight train left the same station traveling West at 54 mph.

We have to determine - when the freight train is at 540 miles from the station, how far, in miles, is the passenger train from the station.

The time taken can be calculated using the formula -

t = \(\frac{d}{v}\)

According to question, we have -

For freight train -

Speed = 54 mph

Distance = 540 miles

Therefore, the time taken will be -

t = \(\frac{540}{54}\) = 10 hours

For passenger train -

The freight train moved for 10 hours. Since, both of them started at the same time, therefore -

d = speed of passenger train x time taken by freight train to move 10 hours.

d = 57 x 10 = 570 miles

Hence, the distance covered by the Passenger train is 570 miles.

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

when (-1, -4) is substituted into the first equation it's true

when (-1, -4) is substituted into the second equation it's true

the ordered pair (-1, -4) is a solution to the systems of equation

Step-by-step explanation:

original equation

x-y=3

multiply both sides by 7

7x-7y = 21

add 7y to both sides

7x=7y + 21

substitute into second equation

(7y+21)-y=-3

simplify

6y+21=-3

subtract 21 from both sides

6y=-24

y=-4

substitute y into original equation

x-(-4) = 3

cancel out negative signs

x+4=3

subtract -4 from both sides

x=-1

Answer: I think it’s J, because the picture is also holding the smallest finger up (the pinky) and the rest of the fingers are folded inside the palm of the hand and the thumb is folded over them, I hope this helps!!

Step-by-step explanation:

The letter J is a counter example. Option a is correct.

Letters of alphabet to be determine.

Alphabets are the sets of letters from A to Z.

Here, the little finger is up and all the finger is folded and the thumb folded over the three finger implies its 'J'.

Thus, the letter J is a counter example.

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Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Explanation:

To make things simple, I first turned the graph 90 degrees. Then, I found two points and conducted a function for this parabola. At last, i use integration to find the area under the curve.

Answer:

Step-by-step explanation:

Product means multiply.

-300

Answer:

5/2 (2.5) --> 2

Step-by-step explanation:

2x-3=2

   +3 +3

2x=5

/2   /2

x= 5/2 (2.5)

(You just get x alone like other problems, I think anyways.)

manyy is really short time samma basyo is really an amazing

Answer:

Eggs: 25 cents ea.

Pounds of peanuts: $2.50 ea.

Rolls of toilet paper: 50 cents ea.

Apples: 35 cents ea.

Step-by-step explanation:

This is assuming you meant $3 for 12 eggs, and $2 for 4 rolls of toilet paper.

For the eggs, I did 3 / 12 = .25 (aka 25 cents);

For the peanuts: 7.50 / 3 = $2.50;

For the toilet paper: 2 / 4 = .50 (aka 50 cents);

For the apples: 3.50 / 10 = .35 (aka 35 cents).

Hope this helped ~

:D

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

the answer is A.

Step-by-step explanation:

took the test just now

The right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns a 5.5% commission on all sales.

The expression for the salary can be written as below:-

Salary = 2,500 + (0.055)(6,300)

Here part 2500 will be the fixed salary and (0.055)(6300) will be commission part.

Therefore, the right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

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For the system of equations, there are infinitely many solutions exist.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equations are,

⇒ - 2x + 2y = 10  .. (i)

⇒ y = x + 5  .. (ii)

Here, From (i) equation,

⇒ - 2x + 2y = 10

Take 2 as common,

⇒ 2 (- x + y) = 10

⇒ - x + y = 5

⇒ y = x + 5

Which is same as equation (ii).

Hence, There are infinitely many solutions exist.

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Answer:

3n-8

Explanation:

multiply n by 3 then subtract 8

Answer:

3 - 8 x n

Step-by-step explanation:

8 less than 3 -> 3 - 8

Times a number, n -> x n

Expression -> 3 - 8 x n

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

(-2,5)

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

We know that mid - point of a line segment divides it into two equal parts, that is it divides the segment in the ratio of 1 : 1, so let's find the coordinates of the mid point of line segment joining points (-9 , 3) and (5 , 7).

let the coordinates of the points be x and y, now

Using section formula :

value of x :

value of y :

So, coordinates of the point which is midpoint of the given line is :

\( \boxed{ \boxed{ (7, 2)}}\)

Answer:

23,7777

Step-by-step explanation:

because 13% died

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

5,6,7 because they are in line with the letter

Answer:

4

Step-by-step explanation:

12−8

=12+−8

=4

It is true that when difference on dependent variable is attributed to effect of that variable through statistical hypothesis testing then it is unlikely that the difference would occur by chance alone

A formal assertion about the nature of a phenomenon made within the constraints of a statistical model is known as a statistical hypothesis.

Statistical hypothesis is a description of the makeup of a population. A population parameter is frequently used to express it.

There are two statistical hypotheses used in hypothesis testing. The above-described null hypothesis (H0) is the first.

If it turns out that the null hypothesis is statistically invalid, an alternative hypothesis (Ha) for each H0 will be given preference. Depending on the research hypothesis, the Ha may be directed or nondirectional.

About the statement in the question,

It is improbable that an observed difference between two groups on the dependent variable would occur by chance alone when the difference is explained by the effect of the dependent variable through statistical hypothesis testing.

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The probability is approximately 0.1667 or 16.67%.

The number of executives who satisfy both requirements must be determined, and that number must be divided by the total number of executives.

We can see from the information provided that there are five CEOs who are under the age of 55 and have held prior positions in finance.

There are 30 executives in all.

The likelihood that the executive is under 55 years old and that their previous employment was in finance is as follows:

Probability = Number of executives under 55 years with previous position in finance / Total number of executives:

Probability = 5 / 30 = 1/6 ≈ 0.1667

Therefore, the probability is approximately 0.1667 or 16.67%.

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