Reginald spent 2 1/3hours doing research at the library for his science project. he spent 3/4of that time writing his notes. how many hours did he spend writing notes?
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The equivalent expression is negative eleven sixths times n minus one twelfth. Option C

Algebraic expressions are expressions that comprises of variables, terms, constants, coefficients and factors.

They are also made up of arithmetic operations such as division, multiplication, addition, subtraction, bracket, etc.

Equivalent expressions are expressions with the same solution but different arrangement of elements.

Given the expression

{ -3 1/3n + 1/6} + { 1 3/6n - 3/12 }

expand the bracket

-3 1/3n + 1/6 + 1 3/6n - 3/12

collect like terms

-10/3n + 1/6 + 9/6n - 3/12

-10/3n + 9/6n + 1/6 - 3/12

find the lowest common multiple

-20n + 9n/6 + 2 - 3 /12

-11n/6 - 1/12

Thus, the equivalent expression is negative eleven sixths times n minus one twelfth. Option C

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Using exponent properties, the simplified expression is given as follows:

-7x²y^4.

For multiplication of exponents, when two terms of same base but different exponents are multiplied, we have to do two steps:

If the exponents also have constants multiplying each other, the constants are multiplied.

For this problem, the two factors are given as follows:

-2x²y³ and 3.5x^0y.

Hence:

Multiplying each term found above, we have that that the simplified expression is given as follows:

-7x²y^4.

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Answer: 81 ==> correct answer

Step-by-step explanation:

n=number

n^2+n*2=n*11 ==> the sum of a 2 digit number and the reverse of the two digit number is a multiple of 11. For example, 21+12=33. 33/11=3, so 33 is a multiple of 11.

n*n+2n=11n

n(n+2)=11n

n+2=11

n=9

n^2=

9^2=81 ==> correct answer

An equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.

We are given that:

Dontavious has a box of colored pencils.

Dontavious uses 53 pencils.

Pencils still left in the box = 118.

Let the total number of pencils in the box be p.

So, the equation representing the situation given will be:

p - 53 = 118

As from p pencils, 53 pencils have been used and 118 pencils still remain at the end.

Therefore, we get that, an equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.

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For waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

Given that,
Discount Dumpster rents a dumpster of that size for $225 plus a charge of $ 130 per ton of waste.
Mega Dumpster rents the same size dumpster for $300, but only charges $90 per ton of waste.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
accoding to the question,
225 + 130w > 300 + w90
130w - 90w > 300 - 225
40w > 75
w > 15 / 8
W > 1.875

Thus, for waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

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The value of 9-3-3-3=0 written as division problem is the value of 0.333

According to the Honor algebra:

The symbols for variables used in algebra, which may be found in Greek and Latin literature, can be used to date the creation of algebra to the height of Greek or Latin culture.

9-3-3-3=0 as written as division

⇒ 9÷3÷3÷3 =0

⇒ 9÷3 =3÷3

⇒ 3=1

⇒ x=1/3

⇒ x=0.333

so, the value of 9 divide by 3 and divided by 3 equals to 3 divvied by 3 is the value of 0.333.

When things are more realistic, algebra becomes much more intriguing. With a two-pan balance, some mystery bags, and a ton of jelly beans, solving linear equations is much more enjoyable.

Therefore, the 9-3-3-3=0 written as division is the value of 0.333.

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The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).According to Parker, the quadrilateral ABCD is a parallelogram. Parker statement is true.

Given that

The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).

According to the statement

We have to find that the whether the quadrilateral is a parallelogram or not.

So, For this purpose, we know that the

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

From the given information:

The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).

Then

To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.

So,

Midpoint of AC = Midpoint of BD

Midpoint of A(-6,-1),C(-1.-5)  = Midpoint of B(-5,2),D(0.-2)

( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)

( -7/2 , -6/2) = (-5/2 , 0/2)

And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.

So, The given quadrilateral is not a parallelogram.

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Answer:

70

Step-by-step explanation:

We can actually solve this based on two “rules” that are present in triangles and lines.

The first rule is that the three angles inside a triangle will always add up to 180.

In this case, we have 2 out of 3 angles given like so: 52 + 58 + k = 180

Solve for k and that gives 70

Another rule that reinforces this is that a straight line will have an angle of 180 degrees. With the 180 that is given, we can solve for k again using: 110 + k = 180

Answer:

70°

Step-by-step explanation:

Total angles of a triangle = 180°

Then, 180° = 58° + 52° = k

➟ 180° = 58° + 52° = k

➟ 180° - 180° + k =180° - (58° + 52°)

➟ k = 180° - 110°

➟ k = 70°

Answer:

b

Step-by-step explanation:

Answer:

d 42.73

Step-by-step explanation:

if you were to round off the first 3 you wouldn't get 42.7 due to them not being above 5, but, if you were to round off 42.73 you would get 42.7 due to 3 being lower than 5 and it changing into 0

The option that will be the least consistent with a rising salt mass origin for the Arizona crater discussed in the textbook is C. rock layers bent backward along the rim of the crater.

It should be noted that the solidified magma that lie under the create flow will be consistent with the volcanic origin.

In this case, the option that will be the least consistent with a rising salt mass origin for the Arizona crater discussed in the textbook is the rock layers bent backward along the rim of the crater.

In conclusion, the correct option is C.

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[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{1}}} \implies \cfrac{3 +9}{-4}\implies \cfrac{12}{-4}\implies -3[/tex]

Answer:

-3

Step-by-step explanation:

ya

Answer:

Step-by-step explanation:

The domain is the set of x values and the range is the set of y values.

The area of the composite figure whose vertices have the  (2,-2), (2,1), (4,2), (6,2), (4,-1) coordinates is 6 square units

We first need to plot all the given points A  (2,-2), B (2,1), C (4,2), D (6,2)and E (4,-1) which is coordinate geometry

After joining the Points which is a pentagon and it can be divided in two shapes one is triangle CDE and a quadrilateral ABCE

Using the distance formula

BC = [tex]\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }[/tex] = [tex]\sqrt{(2-1)^{2} + (4-2^{2} }[/tex] = √5

Since BC = AE and BC ll AE , we can say ABCE is a parallelogram

area of a parallelogram = base × Altitude

                                      = 2 × 2= 4

Area of triangle CDE where CD is perpendicular and CE is the base

                        = 1/2 ( 2×2)

                        = 1/2 (4)

                         = 2 square units

So the area of ABCDE = Area of ABCE + area of CDE

                                     = 4 square units + 2 square units

                                      = 6 square units

Hence, the area of the composite figure whose vertices have the  (2,-2), (2,1), (4,2), (6,2), (4,-1)coordinates is 6 square units

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Answer:

x = 32

Step-by-step explanation:

Answer:

g=93 h=87 k=122 m=58

Step-by-step explanation:

Step-by-step explanation:

[tex]{ \purple{ \tt{(X₁ + X₂)²}}}[/tex]

This above problem is in the form of

[tex]{ \blue{ \tt{ {(a + b)}^{2}}}}[/tex]

where the expanded form of

[tex]{ \blue{ \tt {(a + b)}^{2}}} = { \green{ \bold{ {a}^{2} + {b}^{2} + 2ab}}} [/tex]

then the (X₁ + X₂)² answer will be

[tex]{ \purple{ \tt{(X₁ + X₂)²}}} = { \purple{ \tt{ {X₁}^{2} + {X₂}^{2} + 2X₁X₂}}}[/tex]

Answer:

Hello,

Step-by-step explanation:

P(n)=ax²+bx+c (quadratic sequence)

with a=1,b=1,c=13

[tex]\\\boxed{u_n=n^2+n+13}\\[/tex]

Answer:

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

Given sequence:

We can see this not AP or GP as the difference or ratio of consecutive terms is not common.

But we can see the difference between terms has common difference of 2:

and

It means the sequence is of the second degree, in other words it is quadratic.

In general it is of the form:

Use the terms of the given sequence to work out unknown coefficients.

t₀ = 15 - (4 - 2) = 15 - 2 = 13

It gave us the value of c.

t₁ = 15

t₂ = 19

Compare the last two equations and solve for a and b:

Then

So we know the coefficients:

The nth term equation is:

Answer:

A translation 4 units right and 5 units down followed by a rotation of 90 degrees clockwise about the top left vertex of triangle 2

Answer: 12

add 12 to the left side to cancel out the -12 then add 12 to 24 to get 36, then divide 3x from 36 to get 12 (x=12)

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

The most recent month's raw resources supply operations for Fairfield Business are listed here:

Beginning raw materials $ 20,000

Purchases of raw materials 90,000

Raw materials issued

Materials requisition 1445 25,000 For Job 101

Materials requisition 1446 35,000 For Job 102

Request for Materials 1447 30,000 used for a variety of jobs

The direct material cost is given as,

The direct raw materials used are the sum of the Materials requisition 1445 For Job 101 and Materials requisition 1446 For Job 102.

Direct raw materials used = $25,000 + $35,000

Direct raw materials used = $60,000

The indirect material cost is given as,

Amount to add to the Manufacturing Overhead account = Indirect materials used = $30,000

The ending balance is given as,

Ending raw materials balance = Beginning raw materials + Purchases of raw materials - Direct raw materials used - Indirect materials used = $20,000 + $90,000 - $60,00 - $30,000 = $20,000

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

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The length of the sides are solved to be

Given data

perimeter of a right angled triangular park is 120m

area is 600m^2

Perimeter of triangle = b + h + √(b^2 + h^2)

Area of triangle = 0.5 * b * h = 0.5bh

120 = b + h + √(b^2 + h^2)   equation 1

600 = 0.5bh                          equation 2

form equation 2

bh = 1200

from  equation 1

120 - b - h = √(b^2 + h^2)  

( 120 - b - h )^2 = (b^2 + h^2)

( 120 - b - h ) * ( 120 - b - h ) = (b^2 + h^2)

14400 - 120b - 120h - 120b + b^2 + bh - 120h + bh + h^2 = (b^2 + h^2)

14400 - 240b - 240h  + b^2 + 2bh + h^2 = b^2 + h^2

14400 - 240b - 240h  + 2bh = 0

and bh = 1200

14400 - 240b - 240h  + 2 * 1200 = 0

14400 - 240b - 240h  + 2400 = 0

16800 - 240( b + h ) = 0

16800 = 240( b + h )

b + h = 70

b = 70 - h

and bh = 1200

h ( 70 - h ) = 1200

70h - h^2 = 1200

h^2 - 70h + 1200 = 0

h = 40 or 30

if h = 30

and bh = 1200

b = 1200/30

b = 40

the hypotenuse is solved from Pythagoras

hypotenuse =  √(b^2 + h^2)

hypotenuse =  √(40^2 + 30^2)

hypotenuse = 50

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The domain of the given function f(x)= 1/2x-1  is ( -∞ , 1/2) ∪ (1 /2 , ∞) .

We have given an function f(x)= 1/2x-1 .

To find the domain, we'd like to appear at the values of the freelance variables that area unit allowed to use as explained on top of, i.e. no zero at all-time low of the fraction and no negative sign within the root.

    2x - 1 ≠ 0

      2x ≠ 1

       x ≠ 1/2

Domain is given by ( -∞ , 1/2) ∪ (1 /2 , ∞) .

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The complete question is given below :

Find domain of the function f(x)= 1/2x-1

It should be noted that sbsolute risk is the probability of an event.

It should be noted that absolute risk is used for the number of events which occurred in a group which is divided by the number of people in that group.

The response variable is the focus of a question in the experiment and an explanatory variable is one which explains changes in that variable.

The types of bar graph include:

The steps involved for the pie chart include:

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Answer:

[tex] {2 }^{2} \times 3 {}^{1} \times 5[/tex]

Answer:  √20

Step-by-step explanation:

The square root of 20 is 4.47213595 which is a decimal and not a whole number.

The area of rectangle  is 1.42×2=2.84

Given,

The area of rectangle is 1.42×2=2.84

The length of rectangle is 1.38×.98=1.3524

A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter.

The rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°.

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Answer:

y= -6/7x+8

Step-by-step explanation:

7x-6y=13

6y=7x-13

y=7/6x-13/6

a perpendicular line has the x-axis as the reciprocal and the opposite

so

y= -6/7x+b

and to find b you take the x-axis, in this case, it is 14, multiply 14 by the slope which is -6/7. 14x-6/7= -12

-12 plus what number is -4? it's 8! -12+8=-4 b=8

so you get y=-6/7x+8

hopefully this helped :)