Simplify 4ab(5a²b²+2ab-3)​

Answer:

4th answer

(-8 divided by -4)

Step-by-step explanation:

First , Let's find the value of (-18) divided by (-9)

Before that we have to know,

\(\frac{(+)}{(-)} =(-)\)

\(\frac{(-)}{(-)} =(+)\)

\(\frac{(+)}{(+)} =(+)\)

\(\frac{(-)}{(+)} =(-)\)

Now let's find for the answer for the above

\(\frac{(-18)}{(-9)} =2\)

And now let's find which expression has the same value as the question

#1

\(\frac{(-18)}{2} =(-9)\)

#2

\(\frac{(-12)}{3} =(-4)\)

#3

\(\frac{(-10)}{5} =(-2)\)

#4

\(\frac{(-8)}{(-4)} =2\)

So, it's clear for you that only the 4th expression will the same answer as the question.

Hope this helps you.

Let me know if you have any other questions :-)

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

It is given to us that -

A basketball player claims to make 47% of her shots from the field

The player takes sets of 10 shots

Assuming that her claim is true, a total of 25 repetitions of a simulation were performed

The number of makes in each set of 10 simulated shots was recorded on the dot plot

We have to suppose this player attempts 10 shots in a game and makes only 3 of them.

For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.

From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -

P (x = 3) = 3/10 = 0.33 = 33%

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

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9/15 is cooler than 10/15 since the greater the number, the hotter it is.

Kelvin, denoted by the sign K, is the SI unit of temperature according to the International System of Units. In science and engineering, the Kelvin scale is widely recognized or employed. However, the Celsius or Fahrenheit scale is typically used to measure temperature around the world. Temperature is a unit of measurement that can be expressed on a variety of scales, including Fahrenheit and Celsius. Temperature shows the direction of the spontaneous movement of heat energy, i.e., from a hotter body (one with a higher temperature) to a colder body (one at a lower temperature).

2/3 is equal to 10/15

3/5 is equal to 9/15

9/15 is cooler than 10/15 since the greater the number, the hotter it is.

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The experimental probability of each event is as follows:

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows:

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For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

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Selma uses a jogging trail that runs through a park near her home ...

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Keith is saving money for a car. He has saved the same amount ...

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The Janitor used 8/15 of the bottle

How to calculate the amount of the solution of the bottle used ?

The Janitor has 3/5 of a spray bottle solution

He uses 1/9 of the solution in a day

The amount of solution used can be calculated as follows

3/5 × 1/9

= 3/45

= 1/15

The initial amount  in the bottle is

3/5 - 1/15

= 8/15

Hence the amount of solution he has used is 8/15

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-n=2-7

-n=5

¿¿¿¿¿2♡♡\¡\¡|¡|

mtmtmtmtmntt

tntntnntntjtjjt

5ntj5j5jj5jt

5

ththtmt

my

y

y

y

y

y

y

y

y

y

y

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

Answer:

Make 2 rectangles and find perimeter and then divide by 2.

Step-by-step explanation:

Hope that helps.

Answer:

$48.5

Step-by-step explanation:

Given data

Number of purses= 14+2= 16

Cost of 14 purses= $50

Cost of 2 purses= $38

Let us use the weighted cost method

Mean cost = (14*50+ 2*38)/16

Mean cost = (700+ 76)/16

Mean cost = 776/16

Mean cost =$48.5

By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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The percentage of B5 produced from coconut oil is 0.045 X% of the imported diesel fuel. The percentage of E10 produced from molasses and cassava is 0.1143 Y% of the imported petrol.

To calculate the volume of B5 (a biodiesel blend of 5% biodiesel and 95% petroleum diesel) that can be produced from the coconut oil produced in Fiji, we need to know the total volume of coconut oil produced and the conversion efficiency of the trans-esterification process.

Let's assume that the volume of coconut oil produced in Fiji is X million litres, and the conversion efficiency is 90%. Therefore, the volume of biodiesel (CME) that can be produced from coconut oil is 0.9X million liters. Since B5 is a blend of 5% biodiesel, the volume of B5 that can be produced is 0.05 × 0.9X = 0.045X million liters.

To calculate the total volume of E10 (a gasoline blend of 10% ethanol and 90% petrol) that can be produced from the molasses and cassava, we need to know the total volume of molasses and cassava produced and the conversion efficiency of ethanol production.

Let's assume that the total volume of molasses and cassava produced is Y million liters, and the conversion efficiency is 80%. Therefore, the volume of ethanol that can be produced is 0.8Y million liters. Since E10 is a blend of 10% ethanol, the total volume of E10 that can be produced is 0.1 × 0.8Y = 0.08Y million liters.

The percentage of B5 produced from coconut oil is (0.045X / 100) × 100% = 0.045 X% of the imported diesel fuel.

The percentage of E10 produced from molasses and cassava is (0.08Y / 70) × 100% = 0.1143 Y% of the imported petrol.

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The complete question is:

A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.

a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and cassava that the country produces annually. Express your results as the percentages of the respective imported fuel.

Step-by-step explanation:

\((x - 2)(x + 3) = \\ {x}^{2} + x - 6\)

standard form

\( {x}^{2} + x - 6 = 0\)

function form

\(f(x) = {x}^{2} + x - 6\)

y-intercept = -6

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Answer:

22

Step-by-step explanation:

Mean basically just means average. To find the mean, add the numbers together and divide them by the number of numbers.

17 + 20 + 17 + 33 + 22 + 23 = 132

After that, divide by 6 since there are 6 numbers

132 ÷ 6 = 22

-------

Have a good day :)

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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The image point of (3, 3) is (3/n, 3/n).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

Given point (3, 3).

Let n be the scale factor.

The image of (3, 3) after dilation,

by a scale factor of n centered at the origin will be,

= (3/n, 3/n).

= (3/n, 3/n).

Therefore, (3/n, 3/n) is the image point.

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The minimum possible value of f(6) − f(1) is 15 and the maximum possible value of f(6) − f(1) is 25.

Suppose that 3 ≤ f '(x) ≤ 5 for all values of x. We are required to find the minimum and maximum possible values of f(6) − f(1).

Now, let us solve this problem by applying the Mean Value Theorem (MVT).

Using the Mean Value Theorem, we know that there exists a value c in (1, 6) such thatf'(c) = [f(6) - f(1)] / [6 - 1].

Given that 3 ≤ f '(x) ≤ 5 for all values of x.

We are to find the minimum and maximum possible values of f(6) − f(1).

Now we have to solve the problem by applying the Mean Value Theorem.

Using the Mean Value Theorem, we know that there exists a value c in (1, 6) such that

f'(c) = [f(6) - f(1)] / [6 - 1]

Since 3 ≤ f '(x) ≤ 5 for all values of x, 3 ≤ f'(c) ≤ 5.

Hence, we have 3 ≤ [f(6) - f(1)] / 5 ≤ 5

Multiplying by 5, we get 15 ≤ f(6) - f(1) ≤ 25.

So, the minimum possible value of f(6) − f(1) is 15 and the maximum possible value of f(6) − f(1) is 25.

Since 3 ≤ f '(x) ≤ 5 for all values of x, 3 ≤ f'(c) ≤ 5.Hence, we have 3 ≤ [f(6) - f(1)] / 5 ≤ 5

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Answer:

1. 1.267

2. 3 places

3. To the right

4. I think 10 to the first power

5. 1.267 x 10 to the third power

Step-by-step explanation:

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

Total 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

In the given question, we have to find how many "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

The given word is INQUISITIVE.

The total alphabets in the word INQUISITIVE is 11.

Let us first count the words without U and then insert U wherever applicable.

Now without U we have total 10 alphabets and the alphabet I is repeated by 4 times.

So permutations is 10!/4! = 151,200

Now we need to put U, we can see its 11 alphabets but U should not follow Q so it becomes 10 alphabets.

Hence, Total number of words = 151,200*10

Total number of words = 1,512,000

Hence, 1,512,000 "words" can be formed by rearranging INQUISITIVE so that U does not immediately follow Q.

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Answer:

8√2

Step-by-step explanation:

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Janet can simplify and solve the resulting equation to find the Value(s) of y.(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

To solve the equation y + y^2 - 5 / (y^2 - 1) = y^2 + y + 2 / (y + 1), Janet needs to get rid of the denominators in order to simplify the equation and solve for y. One way to do this is by multiplying both sides of the equation by the common denominator of all the fractions involved.

In this case, the common denominator is (y^2 - 1)(y + 1). So, Janet should multiply both sides of the equation by (y^2 - 1)(y + 1) to eliminate the denominators.

Multiplying both sides by (y^2 - 1)(y + 1) yields:

(y^2 - 1)(y + 1) * (y + y^2 - 5) / (y^2 - 1) = (y^2 - 1)(y + 1) * (y^2 + y + 2) / (y + 1)

By multiplying, we cancel out the denominators:

(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

Now, Janet can simplify and solve the resulting equation to find the value(s) of y.

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Answer:

a. (7, 27) Polly was incorrect.

b. (3, 1) Polly was correct.

Step-by-step explanation:

a.

y = 4x - 1

2x - y = -13

We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.

2x - y = -13

2x - (4x - 1) = -13

First distribute the negative sign across the parentheses.

2x - 4x + 1 = -13

Combine like terms.

-2x + 1 = -13

-2x = -14

Divide both sides by -2.

x = 7

Now that we know x, plug its value into one of our original equations.

y = 4x - 1

y = 4(7) - 1

Solve.

y = 28 - 1

y = 27

Our solution is (7, 27).

Let's check our answer by plugging both values into one of our original equations.

2x - y = -13

2(7) - 27 = -13

Solve.

14 - 27 = -13

-13 = -13

Your solution is correct.

Polly's solution was (-2, -9), which is incorrect.

b.

3x + 6y = 15

-2x + 3y = -3

Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.

We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.

-2x + 3y = -3

-2(-2x + 3y = -3)

4x - 6y = 6

Write the equations together.

3x + 6y = 15

4x - 6y = 6

Now we can see that the y variable will cancel out.

Apply the elimination method.

3x + 6y = 15

4x - 6y = 6

________

7x = 21

Divide both sides by 7.

x = 3

Now that we know x, plug its value into one of our original equations.

3x + 6y = 15

3(3) + 6y = 15

Solve.

9 + 6y = 15

6y = 15 - 9

6y = 6

y = 1

Our solution is (3, 1).

Let's check our answer by plugging both values into one of our original equations.

-2x + 3y = -3

-2(3) + 3(1) = -3

Solve.

-6 + 3 = -3

-3 = -3

Your solution is correct.

Polly's solution was (3, 1), so she was correct.

Hope this helps!

The value that makes the expressions equivalent is 6, as 5+6=11, 11+6=15 and 15+6=30.

Value is the worth of something in terms of the amount of other things for which it can be exchanged or in terms of some medium of exchange. It is also seen as a measure of the usefulness or desirability of something. Value is often subjective, based on personal opinion and preferences, and can change over time. Value can also be seen as an intangible quality of a product or service that makes it desirable, such as convenience, reliability, or customer service.

This is known as a linear sequence, where the difference between each number is the same. In this case, the difference is 6. To find the equivalent expression, you must add 6 to each number in the sequence.

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The value that makes the expressions equivalent is 6, as 5+6=11, 11+6=15 and 15+6=30.

Value is the worth of something in terms of the amount of other things for which it can be exchanged or in terms of some medium of exchange. It is also seen as a measure of the usefulness or desirability of something. Value is often subjective, based on personal opinion and preferences, and can change over time. Value can also be seen as an intangible quality of a product or service that makes it desirable, such as convenience, reliability, or customer service.

This is known as a linear sequence, where the difference between each number is the same. In this case, the difference is 6. To find the equivalent expression, you must add 6 to each number in the sequence.

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Complete questions as follows-
What value makes the expressions equivalent?
6(3x+5) and 15x+□+3x

A. 5
B.11
C.15
D.30