an aquarium holds 42 gallons of water after two minutes the aquarium has three gallons of water in it how many more minutes will it

Answer:

x=6−3y

Step-by-step explanation:

5(x+3y)=30

x+3y=6

x=6−3y

Have great day♡

Answer: x = 6 - 3y

Step-by-step explanation: 5x+15y=30

Subtract 15y from both sides.

5x=30−15y

Divide both sides by 5.

5x/5 = 30-15y/5

Dividing by 5 undoes the multiplication by 5.

x = 30-15y/5

Divide 30−15y by 5.

x=6−3y

To solve this we must be knowing each and every concept related to arithmetic sequence and its calculations. Therefore, arithmetic sequence can be defined as below.

An arithmetic sequence is a collection of integers that follow a specific pattern. It's an arithmetic sequence if you pick any number inside the sequence and subtract it from the preceding one, and the outcome remains the same or constant.

an = a₁ + (n-1) d

The common difference, indicated by the letter d, is the constant difference between all pairs of subsequent or succeeding integers in a series. To transition from one phrase to another, we employ the common difference.

Therefore, arithmetic sequence can be defined as above.

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An equation that is parallel to the line 32x-y=15 is y = 32x - 47.

y' = 4x³

m = slope of tangent line =slope of the given line = 32

y' = 32 at the tangent point

4x³ = 32

x = 2

y = 2⁴+ 1 = 17

The tangent point is (2,17)

Tangent line:

y = 32x + b

17 = 32(2) + b

b = -47

y = 32x - 47

The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.

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Answer:

1) The mistake is not following order of operations, the multiplication between the 3 and (2a - 4) in the brackets is a priority. You should of added the 8 after you resolve the bracket.

2) We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

Slope= 3/4

y intercept= (0,-3)

Step-by-step explanation:

hope it helps :)

Initial Me charges $8 per T-shirt printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

Let's examine the linear graph:

The two companies will cost the same if 10 T-shirts are purchased and the cost is 130.

The initial fee charged by Initial Me is $50.

The initial fee charged by Monogram Mania is $80.

Note: The y-intercept of the graph is the initial fee

The slope of the lines will give the cost per T-shirts (unit rate)

Initial Me: slope = (130-50)/(10-0) = 80/10 = $8

Monogram Mania: slope = (130-80)/(10-0) = 50/10 = $5

Thus, Initial Me charges $8 per T-shirt printed while Monogram Mania charges $5 per T-shirt printed.

This implies Monogram Mania charges less per T-shirt printed than Initial Me charges.

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Answer:

(-1,-1)

Step-by-step explanation:

First thing to consider: the expression is y<-2+3 not y<-2x+3

When plotting this on a graph a possible answer is (-1,-1)

Answer:

you have given wrong answer bro\sis correct it

Answer: diamond

Step-by-step explanation:

The diamond symbol is used to indicate a condition that must be tested in a flowchart. It is used to represent a decision point, where the flow of the process will depend on the outcome of the test. The diamond symbol is typically used in conjunction with other symbols, such as arrows or ovals, to show the flow of the process.

The increase in their bill when they switch from their current phone plan to the unlimited plan will be $13.99.

The cost of the current phone plan is calculated as follows:

The cost of the current phone plan = $55 + $19 + $9.50

The cost of the current phone plan = $83.50

The cost of the unlimited plan will be:

The cost of the new unlimited plan = $85 + $12.49

The cost of the new unlimited plan = $97.49

The increase in their bill will be:

The increase in their bill = $97.49 - $83.50

The increase in their bill = $13.99

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From the give expressions, the rational one are numbers 1 and 3 and the irrational ones are numbers 2 and 4 respectively

Rational numbers are numbers that can be expressed as a ratio or whole number while the irrational numbers cannot be expressed as ratios or whole numbers

The given expressions are

1)  2√9 + 8

= 2*3+8

6+8

=14     This a Rational number because it shows a whole number

2)   2√7 +8

This is irrational hence it cannot be expressed to lowest term

3)    3√18√2

= 3*√18*2

=3*√36

=3*6

=1 8

This is rational because it can be expressed to its lowers term and forms a whole number

4) 2√15√3

= 2*√45

= 2*√9√3

=2*3*√3

=6√3

This is irrational because it does not form a whole number

In conclusion, the rational numbers show whole numbers while the irrational numbers show none whole numbers

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Answer: 8 Miles is the answer

Step-by-step explanation: this is because if you pay a $5 tip that leaves you at $20 then you divide 20 by 2.50 which equals 8

8 is the answer

Graph A represents the relation as a function. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

If the number of values of the dependent variables is one for a single value of the independent. Then the relation is known as function.

If the number of values of the dependent variables is more than one for a single value of the independent. Then the relation is not function.

In graph A, for each value of 'x' the number of the value 'y' is one. Then graph A represents the relation as a function.

Then the correct option is A.

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The radius of the sphere, given the volume of the sphere and the formula for the volume, is  15. 64 mm

We are told that to find the volume of a sphere, we can use the formula :

Volume of sphere = 4 / 3 x π x r³

We are then given that volume in this instance to be 5, 100π mm³ which means that we can equate the formula to this volume to be able to find the radius.

We can therefore find the radius to be:

5, 100 π = 4 / 3 x π x r³

r ³ = 5, 100 π / ( 4 / 3 x π )

r ³ = 5, 100 / ( 4 / 3 )

r ³ = 3, 825

r = ∛ 3, 825

r = 15. 64 mm

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The price after the discount but before tax including 35% will be $26.65.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Price tag = $41

35% on $41 will be given as,

⇒ (35/100)41 = $14.35

Price after discount = price tag - discount

⇒ $41 - $14.35 = $26.65

Hence "The cost will be $26.65 after the discount but before the 35% tax.".

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Answer: y= -2x+8

Step-by-step explanation:

For 0.50 the value of P(1 − p) maximized.

The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.

The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.

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Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and  0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.

a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.

b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)

Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,

P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228

P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392

P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269

P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093

P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016

P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011

d) The mean and standard deviation of the distribution is given by:

mean = n*p = 5*0.256 = 1.28

standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995

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The measure of each of the angle of a rectangle is 90 degrees.

A rectangle is a four-sided shape with four right angles. Each angle measures 90 degrees, meaning that the sum of the angles of a rectangle is 360 degrees. This is true regardless of the size or proportions of the rectangle.

Each angle of a rectangle can also be referred to as a right angle.

A rectangle is a four-sided shape with four right angles, making each of its angles 90 degrees. This is the measure of each of the angles of a rectangle - 90 degrees.

The four angles fit together perfectly to form a rectangle, making it a very useful shape for construction and design.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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If you purchase a reciprocal membership from the two museums, you can visit both at no charge.

Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.

As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.

This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.

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if the diameter is 8 meters, then its radius is half that, or 4 meters.

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=12 \end{cases}\implies V=\pi (4)^2(12)\implies V=192\pi[/tex]

The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,

⇒ V = 96π m³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Diameter of a right circular cylinder = 8 meters

And, Height of a right circular cylinder = 12 meters

Now, We know that;

The volume of a right circular cylinder is,

⇒ V = πr²h

Here, Diameter of a right circular cylinder = 8 meters

Radius = 8 / 2 = 4 m

Thus, We get;

⇒ V = πr²h

⇒ V = π × 4² × 12

⇒ V = 96π m³

Thus, The volume of a right circular cylinder with a diameter of 8 meters and a height of 12 meters is,

⇒ V = 96π m³

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The number represented in the statement is 19/2

From the question, we have the following parameters that can be used in our computation:

Mathematical statement

The mathematical statement is represented as:

-5 is reduced by 2, the result is 26 less than twice the opposite of the number.

Represent the number with x

So, we have

-5 is reduced by 2, the result is 26 less than twice the opposite x

Express reduced by as subtraction

This gives

-5 - 2, the result is 26 less than twice the opposite x

Express the result as an equation

-5 - 2 = 26 less than twice the opposite x

less than here means minus

So, we have

-5 - 2 = -2x - 26

Evaluate the like terms

2x = 19

Divide by 2

x = 19/2

Hence, the number is 19/2

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Answer:

-------------------------------

John types at a rate of 16 words per minute.

With the stable rate, in 4 minutes he types:

=====================================================

Explanation:

The segment (4x-9) units long is the midsegment of the triangle. This is because each endpoint is a midpoint of the slanted sides.

One property of midsegments is that it is half as long as the side parallel to it.

The (4x-9) side is half as long compared to the 6x side.

Rephrased another way: The 6x is twice as long compared to (4x-9)

We'll use this to set up the equation to solve for x.

6x = 2*(4x-9)

6x = 8x-18

6x-8x = -18

-2x = -18

x = -18/(-2)

x = 9 is the final answer

The equation representing the data is N=12×3ⁿ Where n is the number of months.

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

Given here, A population of mice has a growth factor of 3. after one month, there are 36 mines. after 2 months, there are 108 mice.

let n be the number of months and N be the number of mice after n months

thus , N=36

⇒ 36=12×3¹

N=108

⇒108=12×3²

Therefore for any n the Number of mice is N=12×3ⁿ

Hence, The equation representing the data is N=12×3ⁿ Where n is the number of months.

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Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in the standard form. It involves expression numbers as the product of a number between 1 and 10 and a power of 10. This notation is commonly used by scientists, mathematicians, and engineers.

a. 4.327 x 103

b. 9.8435 x 102

c. 4.5 x 10-3

d. 6.2487 x 102

e. 1.357 x 10-1

f. 9.8180004 x 10-1

When a number is too big or too small to be stated in the conventional form, it can be written using scientific notation.. It involves expressing numbers as the product of a number between 1 and 10 and a power of 10. For example, a number like 4.327 x 103 would be written as 4,327 in standard form. Similarly, 9.8435 x 102 would be written as 984.35 in standard form. While 4.5 x 10-3 would be written as 0.0045 in standard form and 6.2487 x 102 would be written as 624.87 in standard form. Additionally, 1.357 x 10-1 would be written as 0.1357 in standard form and 9.8180004 x 10-1 would be written as 98.180004 in standard form. Scientists, mathematicians, and engineers frequently employ scientific notation.

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