The perimeter of the triangle and the perimeter of the square are equal. Create and solve an equation to find the value of x.

7 + 3 × (2 × 8) is the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 × (2 × 8) + 7.

Given, 3 × (2 × 8) + 7

Following the application of the Commutative property of addition, which stipulates that altering the order of addends does not affect the result.

The expression will be,

7 + (2 × 8) × 3

Then, using the associative principle of multiplication, which states that how elements are arranged in a multiplication issue does not affect the product.

The expression will be,

7 + 3 × (2 × 8)

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Invasive weed grows at a rate of 0.0011 ft per minute a day

In the above question, it is given as

Invasive weed grows really fast and the rate of its growth is being provided as follows

The rate at which the weed is growing a day is = 1.65 ft

We need to find the, rate at which this weed is growing per minute

So, to do this, we'll find the growth in 1 min

In 24 hours growth is = 1.65 ft

Conversion factors

We know, 1 hour = 60 minutes

In 1 min growth is = [tex]\frac{1.65}{24 . 60}[/tex]

Here, we have multiplied with 60 in the denominator to convert hours into minutes  

After solving the fraction we'll get

Growth in 1 min of the weed = 0.0011 ft

Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day

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The Domain of the linear function with no restriction is  (-∞,∞)

A linear function is of the form  f(x)  = ax+ b, where a and b are constants , x is independent variable and the graph of such function is a straight line.

Domain of f is the set of all values of x for which function f is defined.

Given that the linear function has no restrictions , means the values of the function can be from anywhere of real line.

-∞  < f(x) < ∞

⇒ -∞  < ax+ b < ∞    , where a≠0

⇒  -∞- b  < ax+ b-b  < ∞ -b

⇒  -∞  < ax < ∞      ( adding or subtracting anything from infinity does not  

                                  make any difference)

⇒ -∞  < x < ∞  

Thus the domain of the linear function which has no restriction is (-∞,∞)

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All of them would be the answer.

The left side and right side of every equation should be equal. It is essential that both parties are on an even playing field. An equation must contain the following elements: coefficients, variables, operators, constants, terms, expressions, and an equals sign. Any one, some, or all of these terms may circle the equal sign in an equation.

Rule of Thumb for Equation Solving:

Here, we will put the values of x and y coordinates in the equations:

5=3+2

6=4+2

7=5+2  

8=6+2

Hence, the right and left side of the equation is equal.

Thus, all of them are correct answers. It would just be all of them.

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Using it's concept, the probabilities are given as follows:

b) P(B|C) = 0.1429.

c) P(not A|B) = 0.8.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item b, the conditional probability can be written as follows:

P(B|C) = P(B and C)/P(C).

From the diagram, we have that:

Hence:

P(B|C) = 0.05/0.35 = 0.1429.

For item c, the conditional probability is:

P(not A|B) = P(not A and B)/P(B).

From the diagram, these probabilities are:

Hence:

P(not A|B) = 0.20/0.25 = 0.8.

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Step 1:

Sum the numbers

Step 2:

Express the number in Hundreds, Tens, and Ones

3 has a value of 300

6 has a value of 60

1 has a value of 1

Therefore, to express 361 in hundreds, tens and ones

Answer:

Step-by-step explanation:

if they are working 7 days a week, lunch will cost $2,275

hope this helped :)

we know that

YZ=RV+VQ ----> by addition segments postulate

substitute given values

30=RV+15

so

RV=30-15=15 ft

that means

Point V is the midpoint of the segment RQ

triangle RPQ is an isosceles triangle

mFind out the value of angle x

tan(x)=4/15 ------> by TOA

x=tan^-1(4/15)

x=14.93 degrees

The angle x is not between 18 - 27

therefore

Gina's books has 349 fewer pages than Terri's, if Gina's books has 597 pages, Terri's books have 946 pages. In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

The most commonly studied operations are the binary operations (i.e., the operations of arity 2), such as addition and multiplication, and the unary operations (i.e., the operations of arity 1), such as additive inverse and the multiplicative inverse. An operation of arity zero, or nullary operation, is constant. The mixed product is example of operation of arity 3, also called ternary operation.

Generally, arity is taken to be finite. However, the infinitary operations are sometimes considered, in which case "usual" operations of finite arity are called finitary operations.

A partial operation is defined similarly to operation, but with partial function in place of a function.

Gina's book = 597 pages

Terri's book= (597+349) pages

                   = 946 pages

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A = (-3, 1)

B = (2, -2)

First we will calculate the slope of the line

The slope is negative

Now, we are gonna calculate the equation, with (2, -2)

Given

The function,

To find:

The maximum or minimum value of the function, and where does it occur.

Explanation:

It is given that,

That implies,

Set g(x)=y.

Then,

Here, a=1>0.

Then, the parabola opens up.

And, k is the minimum functional value, it occurs when x = h.

Therefore,

1) g(x) has a minimum value.

2) g(x)'s minimum value is -4.

3) And it occurs at x = -2.

ANSWER

C. 6x - 16y = -10

EXPLANATION

An equation or a pair of equations has infinite solutions when all numbers are solutions of the equation(s).

The left and right hand side of the equation(s) are the same.

So, we have to look for the equation such that the case happens.

To do that, we have to simply look for an equation that is identical to the given equation:

3x - 8y = -5

By observing keenly, we see that the identical one is:

6x - 16y = -10

Divide both sides by 2, we have that:

3x - 8y = -5

Let us try to solve these equations:

3x - 8y = -5

3x - 8y = -5

Subtract the second from the first:

3x - 8y = -5

- (3x - 8y = -5)

0 + 0 = 0

=> 0 = 0

We see that both sides are identical.

So, the answer is option C.

The value of g for the given conditions is obtained from linear equations as 2000.

A linear equation in one variable has only one variable of order 1. It has the formula ax + b = 0, where x is a variable. There is only one solution to this equation.

The initial amount is given as g.

400 pounds is added.

2 times 600 pounds is taken out.

The remaining amount is 1200 pounds.

Form a linear equation from the given constraints.

g+400-2(600)=1200

Solve the linear equation using basic mathematical functions.

g+400-1200=1200

g=2400-400

g=2000

So, the value of g is obtained using the linear equation as 2000.

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Answer

Amount invested at 6% interest = 17,000

Explanation

The simple interest on an invested principal (P), at a rate, R, for a period of time, T, is given by

Simple Interest = (PRT/100)

Let the amount invested at 6% be x

Let the amount invested at 7% be y

Sum of these amounts is $41,000

x + y = 41000

Simple Interest on x for 1 year

SI = (x × 6 × 1/100) = 0.06x

Simple interest on y for 1 year

SI = (y × 7 × 1/10) = 0.07y

Sum of annual interest = $2,700

0.06x + 0.07y = 2700

Now, we have a simultaneous equation

x + y = 41000

0.06x + 0.07y = 2700

Solving this simultaneously,

x = 17,000

y = 24,000

Hope this Helps!!!

Answer:

the y intercept is -3. it is -3 because it goes through the point (0,-3)

Answer:

The perimeter of the parallelogram is;

Explanation:

Given the figure of a parallelogram in the attached image.

With sides;

The perimeter of a parallelogram can be calculated using the formula;

substituting the given sides;

Therefore, the perimeter of the parallelogram is;

If we mutiply a positive number with a positive or negative sign we get the answer as number with sign.

If we mutiply a negative number with sign the answer will be,

Thus, if we mutiply a negative to a positive number the sign gets reversed.

We have to find the length of AR.

It will be the same as the length of AS, as they are both radius of the circle:

AS is the hypotenuse of a right triangle with legs AT and TS.

Also, TS has half the length of SQ, so we have:

We then can calculate AS as:

Answer: AR = 10

The rate of the given amount 0.001744%

What is Simple Interest?

Simple interest is a quick and easy way to calculate interest on a loan. Simple interest is the daily interest rate multiplied by the principal multiplied by the number of days until the next payment.

Given,

Principal = $5000

Interest = $157

Time = 18years

The formula for simple interest:

I = P x R x T

157 = 5000 x R x 18

R = 157 / 5000 x 18

R =0.001744%

Hence, the annual rate of interest is 0.001744%

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When pH is 2, the hydrogen ion concentration in [tex]litre^{-1}[/tex] is [tex]10^{-2}[/tex]

The pH value of water indicates how acidic or basic it is. The negative log of the hydrogen ion concentration is defined as pH. The pH scale starts from 0 and ends at 14. A pH of 7 is considered neutral because pure water has a pH of exactly 7. Acidic values are less than 7; basic or alkaline values are greater than 7.

Given that,

pH = 2 for HCl acid

We know that,

The relation between concentration of acid and pH is,

pH = -log[[tex]H^{+}[/tex]]

2 = -log[[tex]H^{+}[/tex]]

[tex][H^{+} ][/tex]  = [tex]10^{-2}[/tex]

Hence, the hydrogen ion concentration in a solution with a pH of 2 is [tex]10^{-2}[/tex].

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The equation has no solution.

How to find the solution of the given equation?

-r + 23 = -7r +  3(2r + 8)

Applying distributive property A(B+C) = AB+AC

⇒  -r + 23 = -7r + 6r + 24

Combining like terms,

⇒  7r - 6r -r = 24 - 23

⇒  7r - 7 r = 1

⇒  0 = 1

L.H.S ≠ R.H.S

Since the two sides are unequal , there is no solution.

What is the distributive property ?

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Taking into account the definition of a system of linear equations, the system of equations that represents the total amount of money you spent on hotdogs and hotdog buns at each store is

10x + 8y= 80

11x + 7.50y= 81.50

A system of linear equations is a set of linear equations that have more than one unknown, appear in several but not necessarily all of the equations, and are related by the equations.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

10x + 8y= 80

11x + 7.50y= 81.50

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The mean (or average) is given as:

where xi is the value of each data and n is the total number of data. In this case we have:

Therefore the average is 1 hour 4 minutes and the answer is B.

(a)

Graphing the function from x = 0 to x = 10:

b)

Evaluate the function for x = 5

Answer:

$2901.41

c)

Let's solve the following inequality:

so:

Approximately after 8.2 years.

d)

Let's solve the previous equation in order to find the rate y:

The depreciation rate is approximately:

It depreciates 22% per year

If we replace with 10:

10 is a solution.

Let's try with 11:

11 is not a solution.

WIth 12:

12 is not a solution

WIth 13

13 is not a solution.

Therefore, the solution to this equation is 10

y=4x equation represents a proportional relationship between x and y.

Form the question

Only B doesn't have constant

y=4x

x=y/4

So option 2 is correct.

The formula y=kx y = k x can be used to describe a proportional relationship, where k is the constant ratio.

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, diagrams, and equations can all be used to depict proportional relationships.

The graph of a straight line through the origin with a slope equal to the unit rate can be used to depict a relationship where two quantities are related proportionally. is equal to k, where k is the unit rate, for each point (x, y) on the graph.

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If function f(x) = √(x + 1) - 5 is translated three (3) units to the right and two (2) units up, the equation which represents g(x) is: D. f(x) = √(x - 2) - 3

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

Translating f(x) = √(x + 1) - 5 three (3) units to the right and two (2) units up, we have:

f(x) = √(x + 1) - 5

f(x) = √(x + 1 - 3) - 5 + 2

f(x) = √(x - 2) - 3

In Geometry, g(x - 3) simply means shifting a graph three (3) units to the right while adding two (2) to the function simply means moving the graph up.

In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 3 units to the right and 2 units up.

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Answer:

4x_7+x=6 4x_x=7+6 3x=13 x=13÷3

SOLUTION

The probability of an event occuring is found using the formula

There is only "one" 4, in a die, out of a total of "six" numbers labelled 1 to 6.

So, possible outcome = 1

Total possible outcome = 6, since the die was tossed once.

Probability becomes

Hence the answer is

Answer:

There is a chance it could happen. Rare occurrence though.

Step-by-step explanation: