for the function f(x)=x2 3x, simplify each expression as much as possible

Hi

if she recieived 13 bills and 4 are 10 $? then we have 13-4= 9 20$ bills

so 4x10 +9x20 = 40+180 = 220

So yes it's true

No, a reaction does not occur when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. To determine if a reaction occurs between chromium(II) bromide (CrBr2) and aluminum acetate (Al(CH3COO)3).

We need to consider the solubility rules and potential chemical reactions between the ions. According to the solubility rules, bromides (Br-) are generally soluble in water, and acetates (CH3COO-) are also soluble. Therefore, both chromium(II) bromide and aluminum acetate will dissociate into their respective ions when dissolved in water.

The ions present in chromium(II) bromides are Cr2+ and Br-. The ions present in aluminum acetate are Al3+ and CH3COO-. When these solutions are combined, there are no double replacement reactions or precipitation reactions that occur between the ions.

Since there is no reaction between the ions, we can conclude that no new compounds or products are formed. Hence, the answer is that no reaction occurs when aqueous solutions of chromium(II) bromide and aluminum acetate are combined. As no net ionic equation is required in this case, the explanation above is sufficient to state that there is no reaction between chromium(II) bromide and aluminum acetate.

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Answer:

C= 0 K= 273.15

C =100 K = 373.15

C= 25 K= 298.15

K = 325 C= 51.85

K = 188.15 C = -85.15

Step-by-step explanation:

Use K = C + 273.15 and plug in values of celsius, For example on the first question plug in C = 0 and add 273.15. To get Celsius you’re given Kelvin so subtract 273.15.

\(y = -\dfrac 25 x +1~~~......(i)\\\\\\y = 3x-2~~~......(ii)\\\\\\\text{Substitute}~ y = 3x -2~ \text{in equation (i):}\\\\\\3x -2 = -\dfrac 25 x +1\\\\\implies 3x + \dfrac{2x}{5} = 1 +2\\\\\implies \dfrac{17x}{5} = 3\\\\\implies 17x = 15\\\\\implies x = \dfrac{15}{17}\\\\\\\text{Substitute}~ x = \dfrac{15}{17}~ \text{in equation (ii):}\\\\\\y = 3\cdot \dfrac{15}{17} -2 = \dfrac{45}{17} - 2 =\dfrac{11}{17}\\\\\\\text{Hence,}~~ (x,y)= \left(\dfrac{15}{17}, \dfrac{11}{17} \right)\)

Answer:

The Chain Rule can also help us deduce rates of change in the real world. From the Chain Rule, we can see how variables like time, speed, distance, volume, and weight are interrelated. A horse is carrying a carriage on a dirt path.

One real-life application of the chain rule is the study of motion in a car that is traveling along a curved path.

The chain rule is a fundamental concept in calculus that enables us to calculate the derivative of composite functions.

Composite functions are functions that are constructed by combining two or more functions. The chain rule tells us how to calculate the derivative of a composite function by breaking it down into simpler parts.

One real-life application of the chain rule is in physics, specifically in the study of motion.

For example, suppose we have a car that is traveling along a curved path. We want to know the rate at which the car is changing its speed at a particular point on the path. To do this, we need to find the derivative of the car's speed with respect to time.

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The question seems incomplete, the complete question would be as:

Write a real-life application of the chain rule.

Answer:

This doesnt give enough things to answer

The coordinates of point P are (39/7,-2/7), and point Q is the same as point P.

Given equations are,

\(2x - 3y = 12---(1)\)

\(x + 2y = 5---(2)\)

Let's use the method of substitution:

\(x = 5 - 2y---(3)\)

Substitute the value of x in Equation 1.

\(2(5 - 2y) - 3y = 12\)

Solve the equation for y.

\(10 - 4y - 3y = 12\)

\(- 7y = 2\)

\(y = - 2/7\)

Substitute the value of y in equation 2.

\(x+ 2(- 2/7) = 5\)

\(x - 4/7 = 5\)

\(x = 5 + 4/7\)

\(x = 39/7\)

Therefore, intersection point P and point Q coordinates are (39/7, - 2/7).

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Answer: the common factor is 1

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

What is the answer Choices? message me and ill answer.

Step-by-step explanation:

Answer:

Answer:

60 sweatshirt

Or

45 jackets

Step-by-step explanation:

Total amount = $1,440

Sweatshirts = $24

Jackets = $32

What is the greatest number of sweat- shirts or jackets the team can purchase?

The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt

= $1,440 / $24

= 60

The greatest number of jackets the team can purchase =Total amount / cost of jackets

= $1,440 / $32

= 45

Therefore, the greatest number of sweat- shirts or jackets the team can purchase is

60 sweatshirt

Or

45 jackets

Step-by-step explanation:

Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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Solution

Standard form

Now, rewrite the given equation

factorise

The final answer

Hence, the length of the curve defined by the parametric equations x = 4sin^2(t) and y = 4cos^2(t) over the interval 0 ≤ t ≤ 5π is 20π units.

To find the distance traveled by the particle, we need to calculate the length of the curve defined by the parametric equations x = 4sin^2(t) and y = 4cos^2(t) over the given time interval 0 ≤ t ≤ 5π.

We can use the arc length formula to calculate the length of the curve. The arc length formula for a parametric curve defined by x = f(t) and y = g(t) is given by:

L = ∫[a, b] √[f'(t)^2 + g'(t)^2] dt

where f'(t) and g'(t) are the derivatives of f(t) and g(t) with respect to t.

Let's start by finding the derivatives of x and y with respect to t:

x = 4sin^2(t)

x' = d/dt(4sin^2(t))

= 8sin(t)cos(t)

= 4sin(2t)

y = 4cos^2(t)

y' = d/dt(4cos^2(t))

= -8cos(t)sin(t)

= -4sin(2t)

Now, let's calculate the length of the curve using the arc length formula:

L = ∫[0, 5π] √[x'(t)^2 + y'(t)^2] dt

= ∫[0, 5π] √[16sin^2(2t) + 16sin^2(2t)] dt

= ∫[0, 5π] √[32sin^2(2t)] dt

= ∫[0, 5π] √[32sin^2(2t)] dt

= ∫[0, 5π] 4√[2sin^2(2t)] dt

= 4∫[0, 5π] √[2sin^2(2t)] dt

= 4∫[0, 5π] √[2(1 - cos^2(2t))] dt

= 4∫[0, 5π] √[2(1 - (1 - 2sin^2(t))^2)] dt

= 4∫[0, 5π] √[2(2sin^4(t))] dt

= 4∫[0, 5π] √[8sin^4(t)] dt

= 4∫[0, 5π] 2sin^2(t) dt

= 8∫[0, 5π] sin^2(t) dt

We can use the trigonometric identity sin^2(t) = (1 - cos(2t))/2 to simplify the integral further:

L = 8∫[0, 5π] sin^2(t) dt

= 8∫[0, 5π] (1 - cos(2t))/2 dt

= 4∫[0, 5π] (1 - cos(2t)) dt

= 4∫[0, 5π] dt - 4∫[0, 5π] cos(2t) dt

The integral of dt over the interval [0, 5π] is simply the length of the interval, which is 5π - 0 = 5π. The integral of cos(2t) over the same interval is zero since the cosine function is periodic with period π.

Therefore, the length of the curve is given by:

L = 4(5π) - 4(0)

= 20π

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Answer:

35.6 minutes

Step-by-step explanation:

The average (aka mean) of a set of values is defined as the sum of the values divided by the total number of values.

Step 1:  Find sum of values:

According to the dot plot: person talked 0 minutes

Now we can find the sum using addition and multiplication:

Sum = (1 * 0) + (2 * 10) + (2 * 20) + (4 * 30) + (3 * 50) + (4 * 60)

Sum = 0 + 20 + 40 + 120 + 150 + 240

Sum = 570

Step 2:  Find the total number of values present.

To find the total number of values, we add up the total number of people present:

Total = 1 + 2 + 2 + 4 + 3 + 4

Total = 16

Step 3:  Determine average by dividing sum of values by total number of values.  Then round to the nearest tenth:

Average = 570 / 16

Average = 35.625

Average = 35.6

Thus, the average number of minutes spent talking on a cell phone was about 35.6 minutes

The different two-letter initials can people have using the upper case characters in the English alphabet is 676 (if no specifications are given)

The question has not specified other conditions so we have assumed it by cases and solved it

Case 1 -

“Everything” allowed, means that we are considering solutions like “AA” and “BA, AB”

If this is the case then there are => 26 x 26 = 676 Combinations,

Case 2-

No repetition allowed

Here, we are excluding cases like “AA, BB” etc so here we have

26 x 25 = 650 as our answer

Case 3-

no repetition allowed + unique set every time, So

here we will have ²⁶C₂ (this is basic combinatorics formula )

= (26 x 25)/2

= 325 combinations possible

Case 4 -

Repetition allowed + unique set every time

here we will assume along with the uniqueness of each combination we will add Repeated combinations, Here we have “AA, BB, CC,……..ZZ” 26 new combinations along with unique ones So,

²⁶C₂+ 26 = 325 + 26 = 391 possible cases.

and I would recommend adding more detail to your question specifying the conditions in a better way, but the technically correct answer to your questions if no conditions are CASE 1.

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The correct option is A) quantitative data.

The stem-and-leaf plot is used to display the distribution of quantitative data.

Stem-and-leaf plots are very useful graphical techniques to represent data of numeric values. It is a way to represent quantitative data graphically with precision and accuracy, and its detailed structure can show the distribution of data.

Each number in a data set is split into a stem and a leaf, where the stem is all digits of the number except the rightmost, and the leaf is the last digit of the number.

Then the stems are listed vertically, and the leaves of each number are listed in order beside the corresponding stem, allowing you to view the overall shape of the data and identify outliers and patterns.

Thus, stem-and-leaf plot is used to display the distribution of quantitative data.

Therefore, the correct option is A) quantitative data.

The stem-and-leaf plot is used to display the distribution of quantitative data.

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Answer:

x=57

Step-by-step explanation:

63+60= 123

A triangle is 180 degrees

180-123= 57

x=57

Answer:

pretty sure x = 57

Step-by-step explanation:

60 + 63 = 123

180 - 123 = 57

Answer:

\(\boxed{ 8 + x}\)

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

Answer:

x + 8 is the meaning.

Step-by-step explanation:

“more” means addition. Take the number as “x”, so it will be x + 8.

That's the answer.

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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Answer:

314.16

Step-by-step explanation:

Because we have the radius given to us by BC, we can simply input it into the formula to find the area of a circle, pi(r)^2.

After we insert the given radius, we have pi(10)^2.

We can simply input it into our calculator to find the answer.

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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For the probability of 90% that it will take at least 68.195 minutes long to assemble an electronic component.

As we have the time it takes to assemble an electronic component is normally distributed.

Mean time, \( \mu\) = 17.2 minutes

Standard deviations, \( \sigma\)

= 3.1 minutes

We have to determine probability is 90% that it will take at least how long to assemble a component. Now, from the standard normal distribution table value of Z - score for 90% is equals to the 1.645.

Using the Z- score formula in normal distribution, \(Z = \frac{ X - \mu}{\sigma }\)

=> 1.645 = ( X - 17.2 )/3.1

=> X - 17.2 = 31 × 1.645

=> X = 17.2 + 50.995

=> X = 68.195

Hence, the required at least the long to assemble a component is equals to the 68.195.

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To be honest, I don't think it has anything to do with the exponent part at all. Instead, I think it has to do with the fact that integers are inherently easier to grasp compared to fractions (which is exactly what rational numbers are).

For instance, it's much easier to say 2+3 = 5 than it is to say 1/2 + 1/4 = 3/4

So going back to the exponent example, it's easier to say

x^2*x^3 = x^(2+3) = x^5

than it is to say

x^(1/2)*x^(1/4) = x^(1/2+1/4) = x^(3/4)

So that's my opinion as to why rational exponents are more tricky to grasp compared to integer exponents. Of course, everyone learns math differently so maybe some find fractions easier than others.

The remaining values for proportion is \(\frac{5}{x} = \frac{16}{12.5}\)

What is Proportional values?

 Any relationship that always has the same ratio is referred to be proportionality. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.

Here in given question sizes of beams are proportional to each other. Then,

Size of gray beams ∝ size of black beam

=> \(\frac{width of black beam}{width of gray beam} = \frac{lenght of black beam}{lenght of grey beam }\)

Black beam lenght=16 feet, width=5 feet

Grey beam lenght =12.5 feet. then,

=> \(\frac{5}{x } = \frac{16}{12.5}\)

Therefore the remaining values for proportion is \(\frac{5}{x} = \frac{16}{12.5}\)

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Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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Answer:

A, B, C

Step-by-step explanation:

Velocity is the only option that has both distanace and direction.

Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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