What is are the possible products of 3x if the difference of x and 5 is equal to 3.

GIVING BRAINLIEST

Rate of change is the change in a quantity with regards to another quantity

(a) The change in the solution in the tank after 1 minute is \(\underline{-3\frac{7}{15} \ L}\)

(b) The change in the volume after 15 seconds is \(\underline{-\dfrac{13}{15} \ L}\)

(c) The solution in the tank decreases by \(-\dfrac{13}{15} \ L\) in 15 seconds

Reason:

The given parameters of the solution in the tank are;

The rate at which the solution enters the tank, V = \(16\frac{3}{4}\) liters per minute

The rate at which the solution leaves the tank = \(19\frac{4}{5}\) liters per minute

(a) The expression that represents the change in volume in the tank is given as follows;

\(16\frac{3}{4} \ L - 19\frac{4}{5} \ L = -3\frac{7}{15} \ L\)\(-3\frac{7}{15} \ L\)

The change in the volume of solution in the tank after 1 minute is \(-3\frac{7}{15} \ L\)

(b) 15 seconds = 0.25 × 1 minute

Therefore, the change in the volume after 15 seconds is \(-3\frac{7}{15} \ L \times 0.25 = -\dfrac{13}{15} \ L\)

(c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by \(-\dfrac{13}{15} \ L\)

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Answer:

\(4x^3-7x^2-23x-10\)

Step-by-step explanation:

So we have the expression:

\((4x+5)(x^2-3x-2)\)

Distribute. Multiply (4x+5) to each term:

\((x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)\)

Distribute:

\(=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)\)

Combine like terms:

\(=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)\)

Add and simplify:

\(=4x^3-7x^2-23x-10\)

And this is in descending order, so it's in standard form.

You have the following infromation:

- Each short-sleeve t-shirt costs $10

- Each long-sleeve t-shirt costs $17

If x represent the number of short-sleeve t-shirt you buy and y the number of long-sleeve t-shirt you buy, then, the total cost of the purchase can be written in the following algebraic way:

total cost of the purchase = 10x + 17y

The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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The missing dimensions from the given expression should be completed with the following:

(81.) A) 2

(82.) AD) x

(83.) E) 12

The expression as a product should be written as: DE) 2(x + 12).

In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.

In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;

        x           12

2      2x         24

Note: 2x/2 = x.

         24/2 = 12.

(2x + 24) = 2(x + 12).

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After rotating the triangle counterclockwise by 270 degrees, the new coordinates of the vertices would be (3, -1), (-4, 2), and (3, 5).

To rotate a point counterclockwise around the origin by 270 degrees, we can use the following transformation rules:

\(New_x = -y\)

\(New_y = x\)

Let's apply these rules to each vertex of the triangle and find the new coordinates:

For the first vertex (-3, 1):

\(New_x = -1\)

\(New_y = -(-3) = 3\)

So, the new coordinates for the first vertex after rotating counterclockwise by 270 degrees are (3, -1).

For the second vertex (2, 4):

\(New_x = -4\)

\(New_y = 2\)

The new coordinates for the second vertex after rotating counterclockwise by 270 degrees are (-4, 2).

For the third vertex (5, -3):

\(New_x = -(-3) = 3\)

\(New_y = 5\)

The new coordinates for the third vertex after rotating counterclockwise by 270 degrees are (3, 5).

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Answer: C

Step-by-step explanation:

The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Using a system of equations, you must rent a canoe for 4 hours for the cost of renting a canoe on River Y to be the same as renting a canoe on River Z.

A system of equations is a simultaneous equation or two or more equations set and solved concurrently.

The cost of renting a canoe on River Y = $18

The cost of renting a canoe on River Z = 10 + 2h, where h = hours

Let the cost of renting a canoe on River Y be y

y = 18 ... Equation 1

Let the cost of renting a canoe on River Z be z

z = 10 + 2h ... Equation 2

For the costs to be equal, y will be equal to z.

18 = 10 + 2h

2h = 8

h = 4

Check:

10 + 2(4)

10 + 8

18

Thus, for renting the canoe for 4 hours, the total cost on River Y and River Z will be equal and this situation is represented by Graph D.

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The shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes is a composite figure with two triangles and rectangles

Given data ,

Let the shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes be A and B

Now , on dividing the solid , we get

Two triangles on the opposite sides of the figure

And , rectangles on each adjacent sides of the figure

Hence , the congruent shape has 2 rectangles and 2 triangles

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Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

\(M = \frac{1850 + 2000}{2} = 1925\)

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.898

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

Since \(M = 75, T = 2.898, n = 18\)

\(M = T\frac{s}{\sqrt{n}}\)

\(75 = 2.898\frac{s}{\sqrt{18}}\)

\(s = \frac{75\sqrt{18}}{2.898}\)

\(s = 109.7992\)

The sample standard deviation is of 109.7992 calories.

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

We have,

There are different types of mixed measures, but one common one is the mixed number and fraction form.

To convert 44 oz. to a mixed number and fraction, you need to divide the total amount by the size of each unit in the mixed measure and express the result as a whole number and a fraction.

For example,

If the units are cups and there are 8 oz. in a cup, then:

= 44 oz ÷ 8 oz / cup

= 5.5 cups

So

44 oz. is equivalent to 5 cups and 12 oz.

or

44 oz. =  \(5\frac{4}{8}\) cups = 5 1/2 cups

Thus,

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

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The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

To answer this question, we need to perform a hypothesis test to determine whether the sample data supports the claim that the variance in the number of patients seen per day is equal to 10.

The null hypothesis is that the variance is equal to 10:

H0: \(\sigma^2 = 10\)

The alternative hypothesis is that the variance is not equal to 10:

Ha: \(\sigma^2 \neq 10\)

The level of significance is set at 0.10. To calculate the test statistic, we first need to find the sample variance. Using the formula for the sample variance, we get:

\(s^2 = (\sum(x_i - mean)^2)/(n-1) = (104.22)/8 = 13.03\)

The test statistic is calculated as follows:

\(t = (s^2 - 10)/(10/\sqrt{9}) = (13.03 - 10)/(1) = 3.03\)

We can now use Table 3 from Appendix B to determine whether the test statistic is significant at the 0.10 level of significance. Looking at the critical values for a two-tailed test with 8 degrees of freedom and a significance level of 0.10, we find that the critical value is ±2.306. Since our test statistic of 3.03 is greater than 2.306, we reject the null hypothesis.

The conclusion is that the sample data does not support the claim that the variance in the number of patients seen per day is equal to 10.

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Answer:

Carrie/Kerry had 14 coins last month.

Step-by-step explanation:

10*14=140

Answer:

RV = VT

...............

Answer:

$5.88 Divided by 12 = $0.49

$10.20 Divided by 20 = $0.51

So Turbo Taste costs $0.02 more.  

I hope this helped.

Herb spent 55 hours at the library.

Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total time spent in the Library = 1/6 + 1/4 + 1/2

Total time spent = 11/12 x 60 mins

Total time spent = 55 hours

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Answer:

2311.68 dollars

Step-by-step explanation:

12 900  *  7  * .0256 =

London paid interest of $2311.68 at the end of the loan.

Simple interest is interest that is only calculated on the initial sum (the "principal") borrowed or deposited.

The basic simple interest formula looks like this:

Simple Interest = Principal Amount × Interest Rate × Time

Given,

Principal amount = $12900

Rate of interest = 2.56%

Time = 7 years

Simple interest = Principal amount × Rate of interest × Time

                         = ($12900 × 2.56 × 7)/100

                         = ($33024 × 7)/100

                         = $231168/100

Simple interest = $2311.68

Hence, $2311.68 is amount of interest London paid at the end of the loan.

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The term which is not undefined term is Point.

A ray is a line with a single fixed beginning point and no endpoint. A ray is a segment of a line with a fixed starting point but no fixed end point.

It can extend indefinitely in one direction, or a ray is a line segment with a single endpoint and infinite length in one direction. A ray's length cannot be determined.

A line can continue in any direction indefinitely but has no breadth and is one-dimensional. A point is a location-based 0-dimensional mathematical object.

Thus, point is not an undefined term.

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The value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

There are four vertices and four sides.

Every vertex has an angle of 90 degrees.

Equal and parallel opposed sides are bisected by a diagonal.

We know that the diagonals of a rectangle bisect each other.

Thus, for the quadrilateral to be a rectangle we have:

BE = ED

3x + 1 = 5x - 3

1 + 3 = 5x - 3x

4 = 2x

x = 2

Hence, the value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

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Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

The probability distribution for the number of empty balls is,

I.(3, 0, 0), II.(0, 3, 0) and III.(0, 0, 3).

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

The binomial probability is \(^nC_xp^{n-x}q^x\).

Given, Each of the three balls is randomly placed into one of three bowls.

Therefore, It can be I.(3, 0, 0), II.(0, 3, 0) and III.(0, 0, 3).

So, The probability distribution would be, P(1) + P(2) + P(3).

= 1/3 + 1/3 + 1/3.

= 1.

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The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation:

Answer:

speed

Step-by-step explanation:

hope this helps

Answer:

First, we can write a fraction as a/b

Where a is the numerator, and b is the denominator.

A proper fraction is a fraction where the numerator is smaller than the denominator.

Using only the given numbers (only once per fraction), some examples of proper fractions are:

3/5

3/8

5/8

3/85

3/58

5/83

5/38

8/35

8/53

You can see that in all of them the denominator is larger than the numerator.

The improper fractions are those where the numerator is equal or larger than the denominator.

The 9 examples using the given numbers are:

5/3

8/5

8/3

35/8

38/5

53/8

58/3

83/5

85/3

9a^2 - 9

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