Use the simple interest formula to determine the missing value. p=?, r=6%, t=9 months, i=81

Step-by-step explanation:

42x=252

x=252/4

x=6

well hope that helps

Answer: Answer is the steps

Step-by-step explanation:

Step 1:  Richie rewrite the equation as 24x + 18(x-2) =216

Step 2: Richie  applied the distributive property to eliminate the parentheses  and got the equation  24x + 18x - 32 = 216

Step 3: Richie combine like terms  to get the equation 42x -36 =216

Step 4: Richie added 36 to both sides to get the new equation 42x = 252  

Richie was not done solving for x so in

Step 5: Richie should have divided both sides by 42 to get  the final answer

x = 6.

Answer:

1009479

Step-by-step explanation:

637,391 + 372,088 = 1009479

Answer:

the answers 1009479

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial volume of the rectangular room = Length * Width * Height

V = LWH .............1

If the width is doubled then new width W2 = 2W

If the length is increased by 48%, the new Length L2 = L + 0.48L = 1.48L

If the height is increased by 18%, the new height H2 = H + 0.18H = 1.18H

The new volume after increasing all the dimensions will be;

V2 = L2W2H2

V2 = (1.48L)(2W)(1.18H)

V2 = 3.4928LWH ................2

Now we will divide equation 2 by 1 to have;

V2/V = 3.4928LWH/LWH

V2/V = 3.4928

V2 = 3.4928V

This means that the volume of the room has increased by the factor of 3.4928.

Answer:

Step-by-step explanation:

(10-5)/(4+2) = 5/6

y - 5 = 5/6(x + 2)

y - 15/3 = 5/6x + 10/3

y = 5/6x + 25/3

Answer:

2501/50

Decimal:50.02

Step-by-step explanation:

5 × 10 + 2× 1/100

5 × 10 = 50

2 × 1/100 = 1/50

50 + 1/50

50×50. 1

_____ + ___

50. 50

50 × 50 + 1 = 2501 meaning 2501 over 50 is your answer

Answer:

100

Step-by-step explanation:

Hope this helped! ;)

Excuse me, is this I ready because you know you can get  reported right... just try your best, it's not a real grade! :)

& possibly delete this question because a bot can track and report this to your school. People at my school did that and got in 3 days detention...

The required number is 4.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The sum of a number and six is ten.

let the number be x.

So, x + 6 = 10

Now, solving for x

x = 10 - 6

x = 4

Hence, the value of x is 4.

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Answer: no

Step-by-step explanation:

Answers:

The term "root" is another way of saying "zero of a function"

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

Explanation:

To find the roots, we need to solve f(x) = 0 for x

f(x) = 0

5x/(x^2 - 25) = 0

5x = 0*(x^2-25)

5x = 0

x = 0/5

x = 0

Plugging x = 0 into f(x) leads to f(x) = 0.

The root is x = 0 meaning the x intercept is at 0 on the x axis number line. This is the origin (0,0).

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

To find the vertical asymptotes, set the denominator equal to 0 and solve for x

x^2 - 25 = 0

x^2 - 5^2 = 0

(x-5)(x+5) = 0 ... difference of squares rule

x-5 = 0 or x+5 = 0

x = 5 or x = -5

If either x = 5 or x = -5, then then the denominator x^2-25 is zero

We cannot divide by zero, so these values are excluded from the domain, and this produces the vertical asymptotes.

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

The horizontal asymptote is y = 0 because the degree of the numerator is 1, while the degree of the denominator is 2. The denominator's degree is larger, which leads to y = 0. The rules for finding the horizontal asymptote are

For those rules above, m and n are the degrees of the numerator and denominator respectively. The a,b refers to the leading coefficients of the numerator and denominator.

The asymptotes and zero of the function are ±5 and 0 respectively

Given the function below;

[tex]f(x)=\frac{5x}{x^2-25}[/tex]The vertical asymptotes occur at the point where the function goes large that is the denominator is zero.

If the denominator is zero, hence;

x^2 - 25 = 0

x^2 = 25

x = ±√25

x = ±5

Hence the asymptotes of the function is ±5

For the zero of the function;

[tex]\frac{5x}{x^2-25}=0\\5x = 0\\x = 0\\[/tex]

Hence the zero of the function is 0

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Answer:

  z = 5/2y -1

Step-by-step explanation:

We observe that z has ...

To solve for z, we undo these operations in reverse order.

  [tex]\dfrac{2}{5}(z+1)=y\qquad\text{given}\\\\z+1=\dfrac{5}{2}y\qquad\text{multiply by 5/2}\\\\\boxed{z=\dfrac{5}{2}y-1}\qquad\text{subtract 1}[/tex]

Step-by-step explanation:

Above is the solution....

Answer:

The  points are

        [tex]t_1 =  0.7433[/tex]

        [tex]t_2 = -0.299[/tex]

Step-by-step explanation:

From the question we are told that

   The  first equation is  [tex]x(t) = 3t^3 -2t^2-2t -4[/tex]

     The second equation is  [tex]y(t) =  3t^2 -2t -2[/tex]

Now differentiating the first and second equation

        [tex]\frac{dx(t)}{dt} =  9t^2 -4t-2[/tex]

and

      [tex]\frac{dy(t)}{dt} =  6t-2[/tex]

Now

     [tex]\frac{dy(t)}{dx(t)}  =  \frac{\frac{dy(t)}{dt} }{\frac{dx(t)}{dt} } = \frac{9t^2 -4t-2}{6t-2}[/tex]

at critical point

     [tex]\frac{dy(t)}{dx(t)}  = 0[/tex]

=>   \frac{9t^2 -4t-2}{6t-2}=0[/tex]

=>   [tex]9t^2 - 4t-2 = 0[/tex]

solving using quadratic formula we have that

     [tex]t_1 =  0.7433[/tex]

and [tex]t_2 = -0.299[/tex]

Answer:

  1/2 liter

Step-by-step explanation:

If she starts with 1 1/2 liters and removes 1/4 liter, the remaining amount is ...

  (1 1/2) -(1/4) = 1 2/4 -1/4 = 1 1/4 . . . liters.

The brother drinks 2/5 of that, so drinks ...

  (2/5)(1 1/4 L) = (2/5)(5/4 L) = 2/4 L = 1/2 L

Rosanne's brother drinks 1/2 L of the lemonade.

Answer:

20%

Step-by-step explanation:

Total = 45

Absentees = 9

Percentage  = (No. of absentees / total) × 100

                    = 9 / 45 × 100

                    = 0.2 × 100

                    = 20%

Answer:

20% of the children are absent

Step-by-step explanation:

Number of children absent = 9

Total children in the class = 45

Percent of absent children / total children is defined as the quotient 9/45 multiplied by 100. That is;

[tex]\frac{9}{45} \,*\,100 = 0.2 \,*\,100=20\,%[/tex]

SO the percentage is 20%

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

Answer:

The radius of [tex]x^{2}+y^{2}-18\cdot x - 14\cdot y +124 = 0[/tex] is [tex]\sqrt{6}[/tex].

Step-by-step explanation:

The given expression must be converted into the standard form of a circle, which is described by:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Location of center, dimensionless.

[tex]r[/tex] - Radius, dimensionless.

The expression is modified algebraically as follows:

1) [tex]x^{2}+y^{2}-18\cdot x - 14\cdot y +124 = 0[/tex] Given

2) [tex](x^{2}-18\cdot x)+(y^{2}-14\cdot y)+124 = 0[/tex] Commutative and associative properties.

3) [tex](x^{2}-18\cdot x+81)+(y^{2}-14\cdot y +49)+124 = 81+49[/tex] Commutative and associative properties/Compatibility with addition

4) [tex](x-9)^{2}+(y-7)^{2} + 124 = 130[/tex] Perfect square binomial/Definition of sum

5) [tex](x-9)^{2}+(y-7)^{2} = 6[/tex] Compatibility with addition/Existence of additive inverse/Modulative property/Result

Given that [tex]r^{2} = 6[/tex], the radius of the circle is [tex]\sqrt{6}[/tex].

Answer:

The Commutative Property is a property that states the order of the numbers in addition and multiplication don't matter. 2+3+7 = 7+2+3

Step-by-step explanation:

7(c+3)+ -4(3c-2)

Distribute the 7 and the -4 to each of their parentheses.

7c+21-12c+8

You can use the Commutative Property to move the terms to places where they can be easily simplified.

7c-12c+21+8

Simplify.

-5c+29

Problem 1

Imagine a rectangle that is 2 by 3. You would have an area of 2*3 = 6 and it is the same as saying 3*2 = 6. The order of multiplication doesn't matter. Visually, we can rotate the rectangle to have the shorter side be horizontal and then make it vertical, and the area is still the same. All we're doing is shifting things around.

Another example is say you had a marching band with 10 rows and 2 columns. That gives 10*2 = 20 people total. Then we could easily form the same number of people into 2 rows and 10 columns. The order of rows and columns doesn't matter because we get the same total number as a result.

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

Problem 2

7(c+3) + -4(3c-2) ..... is the original expression

7(c+3) - 4(3c - 2) .... adding a negative is the same as subtracting

7*c + 7*3 - 4*3c - 4*(-2) .... distributive property

7c + 21 - 12c + 8 .... multiply

(7c-12c) + (21+8) .... group like terms

-5c + 29 ... combine like terms

The original expression simplifies to -5c+29

Answer:

Week 3.

Step-by-step explanation:

Add up the hours for each week.

Week 3 is the highest at 36 hours.

Answer:

week 3

Step-by-step explanation:

week 3. it totals for 36 hours in this week

Answer:

FG = 18

Step-by-step explanation:

to find the length FG

FG + 31 = 49

FG = 49 - 31

FG = 18

Answer: -32, -11, 5, 31, 33

Answer:

-32, -11, 5, 31, 33

Step-by-step explanation:

The smallest one is -32. I know this because it's:

The next one is -11. -11 is the next smallest because it's:

The third one is 5. It's the third greatest because it's:

The fourth one is 31. It's the fourth greatest because it's:

The last one is 33. It's the greatest because it's:

Answer:

(3/2)x - 14

Step-by-step explanation:

If two lines are perpendicular, their slopes are mathematically negative reciprocals of one another.

Here the given line is y = (-2/3)x; the slope is -2/3, and the negative reciprocal of that is 3/2.  The desired line will have this slope 3/2.

Using the slope-intercept form of the equation of a straight line, y = mx + b, we write out

-8 = (3/2)(4) + b, obtaining -8 = 6 + b, or b = -14.

The desired equation is (3/2)x - 14.

Answer:

(a)

L is not reflexive, L is anti-reflexive  

L is not symmetric.

L is not anti-symmetric

L is transitive.  

(b)

D is reflexive

D is not symmetric.

D is anti-symmetric

D is transitive.

Step-by-step explanation:

a)

Given that;

domain of the given  relation L is the set of all real numbers

For x , y ∈ R , xLy if x less than y.

relation L, where xLy if x less than y, For x, y ∈ R

so For every x ∈ R, it is then false that x less than x.  

That is (x, x) does not belongs to L.

∴ L is not reflexive, L is anti-reflexive.

For every x,y ∈ R, if (x,y) ∈ L (i.e. x < y), then (y, x) does not belongs to L, since it is false that y < x.

∴ L is not symmetric.

For every x ∈ R, we can say  its  false that x less than x. That is (x, x) does not belongs to L.

∴ L is not anti-symmetric.

For every x,y,z ∈ R, if (x, y) ∈ L(i.e. x < y) and (y, z) ∈ L(i.e. y < z), then (x, z) ∈ L, since it is true that x<z when x<y and y<z.

∴ L is transitive.  

b)

Also lets consider a relation D, where xDy if there is an integer n such that y = xn, For x, y ∈ Z.

Now

For every x ∈ Z, it is true that x = x × 1. That is (x, x) belongs to D.

∴ D is reflexive,

For every x,y ∈ Z, if (x,y) ∈ P (i.e. y=x × n), then (y, x).

if (x,y) ∈ D, then there exist an integer n such that y=x × n.

Then x = y × (1/n).

Thus, (y,x) does not belongs to D, since 1/n is not an integer, but it is a real number.

∴ D is not symmetric.

For every x,y ∈ Z, if (x,y) ∈ D (i.e. y=x × n), then (y, x) also belongs to D only when x=y. where n=1.

∴ D is anti-symmetric.

For every x,y,z ∈ Z, if (x,y) ∈ D (i.e. x × n1= y), and (y,z) ∈ D (i.e. y × n2 = z), then (x,z)∈ D.

if (x,y) ∈ D, then there exist an integer n1 such that y=x × n1.

if (y,z) ∈ D, then there exist an integer n2 such that z=y × n2.

Thenz = (x × n1) × n2 ⇒ z=x × (n1 × n2).  

where (n1 × n2) is an integer. Thus (x,z) ∈ Z

∴ D is transitive.

Answer:

is number 6

Step-by-step explanation:

the greatest common factor is the largest common factor of those.

The greatest common factor of 18 and 30 is 6.

To find the greatest common factor (GCF) of 18 and 30, we can list their factors and identify the largest factor they have in common.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors between 18 and 30 are 1, 2, 3, and 6.

The largest common factor is 6.

Therefore, the greatest common factor of 18 and 30 is 6.

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Answer:  4n-3

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

Explanation:

day 1 = 1 sold

day 2 = 5 sold

day 3 = 9 sold

day 4 = 13 sold

Each time we're going up by 4. This is effectively the slope of the line since it represents the rate of change. The starting amount sold (1) is the y intercept

So we go from y = mx+b to y = 4x+1

Afterward, replace x with n to get 4n+1

On day n = 0, we have 4n+1 = 4(0)+1 = 1 sold. While this is correct, it doesn't really help to start with day 0 and it's better to start with day 1 instead.

What we can do is replace n with (n-1) and then simplify

4(n-1)+1 = 4n-4+1 = 4n-3

Now plugging in n = 1 leads to 4n-3 = 4(1)-3 = 1

Plugging in n = 2 leads to 4n-3 = 4(2)-3 = 5

and so on.

Answer:

The digit in the ones spot will come out to be 4.

Step-by-step explanation:

Since the  are both an even number of ten, and you're subtracting 6, their both gonna come out to have a 4 in the ones spot in the number answer.

Well 50 is just 10 x 5 so...

if you solve 10 + 6 = 16 then you can do 50 + 6 = 56

Answer:

plane EHV

Step-by-step explanation:

To find the other name of plane T, we have to find any three non-collinear points on the plane T.

It means we have to find any three points which lie on the plane T but in a single straight line.

From the given figure it is clear that points E, H and V lie on plane T and they are not collinear.

Therefore, the other name of plane T is plane EHV.

Note: There are many other possible names of plane T, EHV is one of them.

Answer:

7x.

Step-by-step explanation:

Seven times a number = 7x.

An algebraic expression for the given statement is 7x.

The given statement is seven times a number.

We need to write an algebraic expression for the given statement.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Given that, use the variable x to represent the unknown number.

Now, seven times a number=7x

Therefore, an algebraic expression for the given statement is 7x.

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Answer:

6 times

Step-by-step explanation:

Turn that fraction into a decimal. 3/4=0.75

Divide!

4.5/0.75=6

A number 4.5 is 6 times of number 3/4.

We have to given that,

To find how many times does 3/4 go into 4.5.

Let us assume that,

x times does 3/4 go into 4.5.

Hence, It can be written as,

⇒ x × 3/4 = 4.5

Solve for x,

⇒ 3x /4 = 4.5

⇒ 3x = 4.5 × 4

⇒ 3x = 18

Divide by 3;

⇒ x = 18/3

⇒ x = 6

Therefore, 4.5 is 6 times of number 3/4.

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Answer:

  1.2144xx

Step-by-step explanation:

The multiplier of value for the first year was (1 +38%) = 1.38.

The multiplier of value for the second year was (1 -12%) = 0.88.

Then the multiplier of value for the two years was ...

  1.38×0.88 = 1.2144

The value of the stock after 2 years was ...

  1.2144xx

_____

Comment on the variable

We have used the variable given in the problem statement (xx). If you intend something different, replace xx with the variable you intend.

Answer:

(1,2), (2,4), (3,6), (4,1), ( 5,3), (6,5)

Step-by-step explanation:

Given the first two solutions of the n-Queens problem for n = 6

The solution requires that no two queens share the same row, column, or diagonal and each variable lies in the domain [1,6] (6 rows).while finding a solution we must ensure that no two queens are not placed on the same row and in the same diagonal

hence the first two solutions can be expressed as :

(1,2), (2,4), (3,6),(4,1),( 5,3), (6,5)