11. The cost of a set of DVDs can be represented by the expression C+0.25c.


Simplify the expression. Then determine the total cost of the DVDs after the markup i


the original price is $40.

Answer:

2271.12 in²

Step-by-step explanation:

      \(\sf l = length = 42 \dfrac{1}{2}=\dfrac{85}{2} \ in \\\\\\w =width = 18 \ in\\\\h = depth = 6\dfrac{1}{8}=\dfrac{49}{8} \ in\)

   \(\boxed{\text{\bf Surface area of rectangular prism = 2*(lw + wh + hl)}}\)

                                                                   \(\sf = 2*\left (\dfrac{85}{2}*18 + 18*\dfrac{49}{8 }+ \dfrac{49}{8}*\dfrac{85}{2}}\right)\\\\\\=2*\left(85*9 + 9*\dfrac{49}{4} +\dfrac{49*85}{16}\right)\\\\=2*\left(765 +110.25 + 260.3125 \right)\\\\= 2 *1135.56\\\\= 2271.12 \ in^2\)

The graph the system of linear equations on a coordinate plane is added as an attachment and the solution is (2, 2)

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=-1/2x+3 and y=2x-2

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = -1/2x + 3

y = 2x - 2

Next, we plot the graph of the system of equations

See attachment for the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (2, 2)

This means that the solution to the system of equations is (2, 2)

Recall that

y = -1/2x + 3

y = 2x - 2

Solution = (2, 2)

So, we have

2 = -1/2 x 2 + 3 = 2 --- true

2 = 2 x 2 - 2 = 2 --- true

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Answer:

It's the last option: 5^-5/6.

Step-by-step explanation:

Converting to fractional exponents:

= 5^1/3 * 5^1/2 /  5^(5*1/3)

= 5^5/6 / 5^5/3

= 5^(5/6 - 5/3)

= 5(5/6 - 10/6)

= 5^-5/6

Step-by-step explanation:

m arc AD = (2×108) - 142 = 216-142= 74°

m<A = 180-108= 72°

Answer: y=46

Step-by-step explanation:

Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.

52-6= 46

So therefore, y=46

Answer:

y=46

Step-by-step explanation:

We are given the equation:

y+6=52

and asked to solve for y. Therefore, we must isolate y on one side of the equation.

6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

y+6-6=52-6

y=52-6

y= 46

Let’s check our solution. Plug 46 in for y and solve.

y+6=52

46+6=52

52=52

This checks out, so we know our solution is correct.

The solution to the equation y+6=52 is y=46

Answer:

Well,

\(0.5(5-7x)=8-(4x+6)\\-3.5x+2.5=-4x+2\\0.5x+2.5=2\\0.5x=-0.5\\x=-1\)

Step-by-step explanation:

Hope this helps!^^

Answer: -1

Step-by-step explanation:

first you want to simplify 0.5 (5-7x) which will get you 2.5 - 3.5x

then you will do the same for the other side move the xs to one side then treat it like any other problem

Answer:

GEMDAS rate. (Abbreviation) A mnemonic used to  the order of operations in math problems; Grouping (such as parentheses), Exponents, Multiplication, Division, Addition, Subtraction.

Step-by-step explanation:

its pemdas just with a different name!!

do you still need help?

Answer:

p=‒1

Step-by-step explanation:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

i hope this helps you

Answer:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

Step-by-step explanation:

Answer:

h = 8 inches

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 24 and b = 6 , then

\(\frac{1}{2}\) × 6 × h = 24 , that is

3h = 24 ( divide both sides by 3 )

h = 8 inches

Answer:

The numbers are 37, 39 and 41.

Step-by-step explanation:

Let the smallest number be \(x\\\).

Then the other numbers will be \(x+2, x+4\) (as they are consecutive odd numbers, their difference will be 2).

As per the given statement:

LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.

i.e. five times the smaller number = \(5\times x\)

twice the larger number = \(2 \times (x+4)\)

Their sum:

The Left Hand Side becomes:

\(5x+2(x+4)\)

RHS(Right Hand Side):

33 more than six times the median number:

i.e. \(6\times(x+2) +33\)

Equating LHS and RHS:

\(5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}\)

Therefore, the numbers are 37, 39 and 41.

We need to find

The two-column proof for the given statement are as follows:

Statement           Reason

AB = 2x + 4          Given

AC = 3x                Given

AD = AC + CD     Segment addition postulate

AD = 3x + x + 4    Substitution using statements 2 and 3

AD = 4x + 4          Simplification

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places.

The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.

A line is a collection of points forming a one-dimensional geometry and infinitely in either direction. The figure below depicts a line. A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes to as a section of a line that links two places.

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Answer:

B. (f-g)(x)=4^x-1-2x+11

(f-g)(x) = (4^x-1+6) - (2x-5)

apply like terms while retaining order of operations

6 - (-5) = 11

4^x - 1 - 2x + 11

Step-by-step explanation:

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

x=4 y=5

Step-by-step explanation:

Answer:

y = 1/2x - 1

Step-by-step explanation:

When you put all three equations from the question into a graph and then input the equation i just gave you it will be perpendicular to line B & C, also it will be parallel to line A. Finally you can check yourself that it also has a y-intercept of (0,-1) & an x-intercept of (2,0). Hopefully this helps out & gets brainliest. xD

Answer:

solution

here,

Step-by-step explanation:

f={(2,1/2), ( 3, 1/3) , (4, 1/4)}

Range = { / (\ frac 12\) , \ (\ frac 13\) ,

\( \ frac 14\ )}

Inverse function ( f-^1 ) = {( 1/2, 2) ,( 1/3 ,3) , 1/4, 4 )} is the required answer

Answer:

3 tiles

because 1/4+1/4+1/4=3/4

I hope this helps you!

9514 1404 393

Answer:

   5

Step-by-step explanation:

The diagram shows that 4y = 20.

Then y is one of 4 equal parts, so y = (1/4)(20) = 5.

The value of y is 5.

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = \(\sqrt[3]{x-1} + 4\) Is f⁻¹(x) =  (x - 4)³ + 1.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = \(\sqrt[3]{x-1} + 4\)

y =  \(\sqrt[3]{x-1} + 4\)

Calculate the inverse of the function as shown below,

Replace x with y,

x = \(\sqrt[3]{y-1} + 4\)

x - 4 = \(\sqrt[3]{y- 1}\)

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

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The amount the is truly consumed is always larger than what is stated on the FFQ. Hence, it is the incorrect statement for the indicated correlation.

What is correlation?

To represent the relationship between continuous variables, correlation is utilized. A numerical value called the correlation illustrates the connection between two variables. The sign affects the kind of relationship that exists between the variables. A direct or positive association would result if the sign is positive. It would be detrimental otherwise.

The correlation is a number which indicates relationship between two variables.

A correlation is used to test the relationship between continuous variables.

A correlation coefficient has a value between -1 and 1 this means there is a perfect negative or positive correlation. These are very high correlation examples.

A positive correlation does not imply that what is truly consumed is always larger than what is stated on the FFQ.

A positive correlation coefficient only implies that with a change in diary readings, the food questionnaire reading will also change in the same manner.

However, this does not reflect anything on the true consumed values and therefore, it cannot be judged whether the truly consumed amount will be larger or not.

The provided options are analyzed by the fact that the positive correlation means the change in the variables is direct rather than indirect.

The positive correlation means the direct change in the variables. Hence, the option is an incorrect one.

The correlation only represents whether the two variables have a positive or negative relationship. It does not tell anything about whether one value is greater or not.

Since,  r > 0 the amount the is truly consumed is always larger than what is stated on the FFQ.

Hence, it is the incorrect statement for the indicated correlation.

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Answer:

x=38

Step-by-step explanation:

let we say the supplimentary y then

y+83=180

y=180-83

y=97x+y=125 b/c y and x are remote angles then

97+x=125

x= 125-97

x=28

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

Answer:

1=yes

2=no

3=no

4=no

5=yes

6=yes(im not sure on this last one)

Step-by-step explanation:

If no vertical line can intersect the curve more than once, the graph does represent a function.

Answer:

Graph 1= It's a function

Graph 2= No

Graph 3= No

Graph 4= No

Graph 5= Yes

Graph 6= Yes

Step-by-step explanation:

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

The function in terms of balance of the savings account is B(a) = 200 - 5a.

A formula known as an equation uses the equals sign to express how two expressions are equal. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfil the equality are known as the equation's solutions.

Let the number of months be represented as a.

The fee that would be deducted ever month can thus be represented as 5a.

The initial deposit in the bank is $200, and if we include the deduction the equation is as follows:

B(a) = 200 - 5a

Hence the function in terms of balance of the savings account is B(a) = 200 - 5a.

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Answer:

x=5 y=-5

Step-by-step explanation:

There are 2042975 32-bit strings with exactly 23 ones and 9 zeros.

What is the best way to start this question?

We have 32 bits in a 32-bit string. Out of these, there are 23 ones and 9 zeros. We need to count the number of 32-bit strings that have exactly 23 ones and 9 zeros.

We need to find out how many ways we can place 23 ones and 9 zeros in a 32-bit string. There are a total of 32 positions, and we need to select 23 of them for ones, the rest will be zeros.

Therefore, the answer is the number of ways we can choose 23 positions out of 32 positions.

We can calculate this using the binomial coefficient.

Combination = 32C23 = 32! / (23! * 9!) = (32 * 31 * ... * 10 * 9!) / (23 * 22 * ... * 1 * 9!) = 16,777,216 / 3,628,800 = 4.62015

Therefore, there are 4.62015 * 10^6 32-bit strings with exactly 23 ones and 9 zeros

. As we cannot have a fractional number of strings, we round this up to get the final answer.

Therefore, there are 2042975 32-bit strings with exactly 23 ones and 9 zeros.

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