Find the length of diagonal BC of ABCD to the nearest hundredth.

Step-by-step explanation:

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Step-by-step explanation:

[tex] = \frac{1}{5} + \frac{1}{10} \\ [/tex]

Now make the denominator same...

[tex] = \frac{1}{5} \times \frac{2}{2} + \frac{1}{10} \\ [/tex]

[tex] = \frac{2}{10} + \frac{1}{10} \\ [/tex]

[tex] = \frac{3}{10} \\ [/tex]

:)

..

Answer:

  [c] The value of w cannot be a negative number.

  [d] Substitution is used to replace the variable l with a value of 20.

  [e] The subtraction property of equality is used to isolate the term with the variable w.

Step-by-step explanation:

     To figure out which steps of the solution are true, let us solve.

2 l plus 2 w equals 62 -> 2l + 2w = 62

----

2l + 2w = 62

2(20) + 2w = 62  <- Substitution is used to replace the variable l with a value of 20.

40 + 2w = 62

2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.

w = 11

     This means that the value of w is not 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.

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The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.

When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.

Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.

The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).

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Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{50}{360}[/tex]

   = π × 7.13² × [tex]\frac{5}{36}[/tex]

    = 50.8369π × [tex]\frac{5}{36}[/tex]

    ≈ 22.2 ft² ( to the nearest tenth )

Answer:

A) y = 1 - 2x

Step-by-step explanation:

Substitute the points given into all of the equations

Let's take point (1, -1)

A) y = 1 - 2x

-1 = 1 - 2(1)

-1 = 1 - 2

-1 = -1 ✓

B) y = -x - 1

-1 = -1 - 1

-1 =  -2 ✘

C) y = x - 2

-1 = 1 - 2

-1 = -1 ✓

D) y = 2x - 1

-1 = 2(1) - 1

-1 = 2 - 1

-1 = 1 ✘

So far, lines A and C can be possible solutions. Let's try point (2, -3)

A) y = 1 - 2x

-3 = 1 - 2(2)

-3 = 1 - 4

-3 = -3 ✓

C) y = x - 2

-3 = 2 - 2

-3 = 0 ✘

Thus, line A is the correct answer

The maximum number of songs she can download while still remaining within her budget is x <= 21

The given parameters are:

One-time fee = $12.99

Rate = $0.65 per song

Budget = $27

The inequality is then represented as:

One-time fee + Rate * x <= Budget

So, we have:

12.99 + 0.65x <= 27

Subtract 12.99 from both sides

0.65x <= 14.01

Divide both sides by 0.65

x <= 21.55

Round down

x <= 21

Hence, the maximum number of songs she can download while still remaining within her budget is x <= 21

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Answer:

$100

Step-by-step explanation:

It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100

Answer:

$100

Step-by-step explanation:

From the graph we see that each card costs $20.

Answer:

See below

Step-by-step explanation:

4(x + 5) = 9x + 4x − 34

4x + 20 = 9x + 4x − 34   [Distributive]

4x + 20 =  13x − 34         {Combine Like Terms]

4x - 13x + 20 = 13x - 13x − 34  [Subtractive:  -13x both sides]

-5x + 20 = - 34            [Combine Like Terms]

-5x + 20 - 20 = -34 - 20     [Subtractive:  - 20 both sides]

-5x  = -54               [Combine Like Terms]

x = -54/-5             [Division Property:  divide both sides by -5]

x =  - 10 4/5            

Answer: Writing an equation in function form. You want to remove the x term from the side y is on and move it to the other side of the equal sign. To do this either add or subtract the x term from both sides. Next divide by the coefficient of the y term. Now your equation is in function form.

explanation: like 57 * Y =142500

what is the number for Y if u don't know u could divided 142500 by 57 and it equals? 2500;) hope I helped

Answer:

253=232×k

Step-by-step explanation:

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Solution :-

Here we have been given with two equations :

¤ From Equation No.1 :

>> x = -5y

¤ In Equation No.2 :

Substituting the value of x which we got above as -5y here.

>> 3y + 2(-5y) = -21

>> 3y + 2 × (-5y) = -21

>> 3y - 10y = -21

>> -7y = -21

>> 7y = 21

>> y = 21 / 7

>> y = 3

¤ Finding out value of x :

>> x = -5y

>> x = -5(3)

>> x = -15

Answer:

magnitude of a shown vector is

[tex]4 \sqrt{5} [/tex]

Answer:

72

Step-by-step explanation:

I got to get some bread for you guys

Answer:

I'll do it the answer is truthfully 72 if you don't think go check my page

Answer:

Carla

Step-by-step explanation:

First we need to find the hourly rate for Annette

Take the dollars earned and divide by the number of hours

30/2 = 15 dollars per hour

Now we can find the hourly rate for Carla

96/6 =16 dollars per hour

Carla has the higher hourly rate  since she earns more per hour

Step-by-step explanation:

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Answer:

r = 5

Step-by-step explanation:

The zeroes ( where the function intersects the x - axis) are equi-distant from the vertex line of symmetry

vertex 2,4      to  get to  -1 , 0    you have to go three units in the negative x direction .....  the other zero is on the OTHER side of the vertex 3 units which would be    5,0       so   r  = 5

Here is a graph to look at:

(i) The area of the cross section ABCDEFG is 1771.6cm³

(ii) The volume of the concrete lab is 212592 cm³

(iii) the total surface area of the concrete slab is 30284 cm²

(iv) The mass of the concrete slab is 40746.8 kg/m³.

Given, dimensions are 120 cm by 60 cm by

40 cm.

(i) area of cross section = 40 × 60 ₋ π(60 ₋10 ₋ 10)/2 . 1/2

                                     = 1771.6 cm³

(ii) the volume of the concrete slab = 40 × 60 × 120 ₋ 1/2 π((60 ₋ 10   ₋10)/2)² . 120

= 212592 cm³

(iii) The total surface area is:

=40 × 120 × 2 ₊ 60 × 120 ₊ 1771.6 × 2 ₊ 10 × 120 × 2 ₊ 1/2 π(60 ₋ 10 ₋10) × 120

= 30284 cm²

(iv) Mass of the concrete slab given density is 2300 kg/m³

Mass = Volume × density

Mass = 17.716 m³ ×  2300

         = 40746.8 kg/m³

Hence we get the mass as 40746.8 kg/m³.

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Answer:

Step-by-step explanation:

Answer:  Volume

Step-by-step explanation:

Answer:

y=9+3x

Step-by-step explanation:

It starts with y=.

Then you have to put the 9 for the streaming service.

Then you add.

You multiply by 3 for all the x in the household plan.

Answer:

y = 9 + 3x

Step-by-step explanation:

$9 per month for a single user

$3 per month for additional users

Find monthly cost, y, where additional cost is represented by x

The cost for a single user = fixed cost (It remains constant)

The cost of the additional user = variable (It increases with the number of users)

The monthly cost increases with the number of additional users

The monthly cost = cost of single user + the cost of additional users

y = 9 + 3x

Answer:

Step-by-step explanation:

m∠5 + m∠6 = 180° - This is true because the exterior angle and interior angle form a linear pair, and are thus supplementary.

m∠2 + m∠3 = m∠6 - This is true by the exterior angle theorem.

m∠2 + m∠3 + m∠5 = 180° - This is true because the interior angles of a triangle add to 180 degrees.

The three right options are:

m∠5 ₊ m∠6 = 180° which represents a linear pair.

∠2 ₊ ∠3 = ∠6 showing the exterior angle property of triangle.

m∠2  m∠3  m∠5 = 180° as the sum-triangle

sum-triangleproperty.

Given,

the interior angles of the triangle are 2,3,5

the exterior angle at ∠2 is ∠1.

the exterior angle at ∠3 is ∠4.

the exterior angle at ∠5 is ∠6.

Now, take into account a triangle with external angles as ∠1 , ∠4 and ∠6.

Apply the exterior angle property of a triangle.

The sum of the opposing internal angles determines the outer angle of a triangle.

For exterior ∠1 we get

∠1 = ∠5 ₊ ∠3

Similarly, for exterior ∠4 we get

∠4 = ∠5 ₊ ∠2

Then for exterior ∠6 we get

∠6 = ∠2 ₊ ∠3

∴ through the exterior angle property we get the correct option as

m∠6 = m∠2 ₊ m∠3

Now we know the sum-triangle property that sum of the angles in triangle is equal to 180°

∴ m∠2 ₊ m∠3 ₊ m∠5 = 180°

We know the linear pair property i.e, If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.,

∴ m∠5 ₊ m∠6 = 180°

Hence we get the statements which match the diagram are:

m∠5 ₊ m∠6 = 180°

m∠2 ₊ m∠3 ₊ m∠5 = 180°

m∠6 = m∠2 ₊ m∠3

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The surface area of the composite figure is given by 730 sq.in

Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.

It is given in the question to determine the area of the composite figure

Area of Cube is

Area = 6 * side²

Area = 6 * 4² = 96 sq.in

The surface area of the cuboid is equal to

Sum of surface area of all the sides

As the opposite sides are same

7x10x2 + 15x10x2 + 7x15x2

650 sq.in

As the surface area of the base of the cube is counted twice

Therefore it will subtracted from the total

96 + 650 - 4*4

=730 sq.in

Therefore the surface area of the composite figure is given by 730 sq.in

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The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

[tex]\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)[/tex]

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

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Range is the set of all values which the given function can output. The correct option is A.

Since y is the output for the given function, and the only outputs that can be seen for the function are 0, 2, and 4. Therefore, the range of the function is {0,2,4}.

Hence, the correct option is A.

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Answer:

please see analysis

Step-by-step explanation:

Reason

1.) given

2.) definition of amptimentaly angle LS

3.) substitution property

4.)definition of amptimentaly angle

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 7x (6/7, -1/4)

we can plug in the point (6/7, -1/4)

-1/4 = 7(6/7)

-1/4 = 6

-1/4 does not equal 6 so this point is not on the line

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Answer:

I did 700 - 15% times that answer by 6 and u get that big answer.

The required amount Ahmet needs to pay after 6 years is $1619.14.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a  , n = compounding frequency

Here,

From the given data,
P = 700, r = 15% and t = 6 (n =1)

Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14

Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.

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Answer:

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Step-by-step explanation:

Parent function:  [tex]f(x)=x[/tex]

The graph of the parent function is a straight line graph that intersects the axes at the origin (0, 0) and has a positive slope of 1 unit.

To determine the sequence of transformations, find the equation of the transformed function in slope--intercept form.

Slope-intercept form of a linear function:  [tex]f(x)=mx+b[/tex]

(where m is the slope and b is the y-intercept)

To calculate the slope of the transformed function, choose two points on the line and use the slope formula:

[tex]\implies \sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-(-1)}{1-0}=-3[/tex]

The y-intercept (where the line crosses the y-axis) of the transformed function is (0, -1).

Therefore the equation of the transformed function is:

[tex]g(x)=-3x-1[/tex]

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Comparing the transformed function's equation with the parent function:

[tex]\begin{cases}f(x)=x\\g(x)=-3x-1\end{cases}[/tex]

Transformations

1.  Reflection in the y-axis:

    [tex]f(-x)=-x[/tex]

2.  Vertically stretched by a factor of 3:

    [tex]3f(-x)=-3x[/tex]

3.  Shifted 1 unit down:

    [tex]3f(-x)-1=-3x-1[/tex]

Summary

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

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