Write 762,508
in expanded form using exponents

Answer:

[tex]\frac{7}{1}[/tex]

Step-by-step explanation:

Answer:

7/1

Step-by-step explanation:

hope this helps♡

The cost of ordering 26 shirts will be 430.8 dollars.

As the name suggest piecewise a piecewise function behaves differently for different domains or we can say that a function which has different parts.

According to the question given we have to write piecewise functions for ordering custom shirts.

Here y is the cost in dollars and x is the no. of shirts and also given that a 20 dollar processing fee is need for all orders and it is our constant in the function.

For 0 to 24 shirts or when 0<x≤24 and x ∈ N.

f(x) = 17x + 20.

∴Domain of the function is (0,24] and range of the given function is [37,428]

For 25 to 49 shirts or when  25≤x≤29 and x ∈ N.

f(x) = 15.80x + 20.

∴ Domain of this function is [25,49] and range of the function is [415,794.2].

For 50+ shirts or when x≥50 and x ∈ N.

f(x) = 14x + 20.

∴ Domain of this function is [50,∞) and range of this function is [720,∞].      

Now we have to determine the total cost of ordering 26 shirts for this we'll use f(x) = 15.80x + 20 because 26 lies in the domain of this function.

∴ f(x) = 15.80x + 20 for x = 26 it will be

f(26) = 430.8 dollars.

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Answer:

3

Step-by-step explanation:

Because C is 1 and D is 4, so 4-1=3.

Answer:

[tex]6x^8y^5[/tex]

Step-by-step explanation:

[tex]3x^2y^4 \times 2x^6y \text{ // We should remind ourselves of the rule: }a^m \times a^n = a^{m + n}\\\\\to (3 \times 2)(x^2 \times x^6)(y^4 \times y^1)\\\\\to 6(x^{2 + 6})(y^{4 + 1})\\\\\\\to 6x^8y^5[/tex]

a) The coordinates of P and Q are; P = (0 , 4) , Q = ( -3 , 0).

b) The graph of  points P and Q is plotted.

c) The line 3y - 4x = 12 for values of x from -3 to 3 is drawn.

The equation of line is given as;

3 y - 4 x = 12

a) To calculate the coordinates on the line are P and Q.

Let x = 0  

3 y - 4 × 0 = 12

3 y + 0 = 12

y = 4

So, points P = (0 , 4)

Now, For y = 0;  

3 × 0 - 4 × x  = 12

0 -  4 × x  = 12

x = - 3

So, points Q = ( -3 , 0)

Thus, points are P = (0 , 4) , Q = ( -3 , 0)

b) points P and Q on the graph.

The graph of the points P and Q for the coordinates of  P = (0 , 4) , Q = ( -3 , 0) is plotted.

c) Draw the line 3y - 4x = 12 for values of x from -3 to 3.

The straight line for the values of  x are drawn.

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Answer:

2+2=4, not 6

Step-by-step explanation:

Based on the fact that Lila made a chart that had 8 rows and 4 columns, the number of spaces in the chart is 32 spaces.

Lila can use 8s factors or 4 factors to solve because both 8 and 4 are factors of 32.

The number of spaces can be found by the formula:

= Number of rows x Number of columns

= 8 x 4

= 32 spaces

Factors of 8 and 4 can be used for 32 because when a number is a factor of another number, then all the factors of the first number, are also the factors of the other number.

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It should be noted that the the characteristics of perfect square trinomial include:

A perfect square trinomial is a special polynomial consisting of three terms.

A perfect square trinomial is created by multiplying a binomial to itself.

Two of the terms in a perfect trinomial are perfect squares.

They can be used to solve quadratics by completing the square

It should be noted that a perfect square trinomial is an algebraic expression that is of the form ax² + bx + c, that has three terms.

It should be noted that it is obtained by the multiplication of a binomial with itself.

For example, it should be noted that x² + 6x + 9 is a perfect square polynomial that is obtained by multiplying the binomial (x + 3) by itself.

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What are the characteristics of perfect square trinomial

Answer: Day 50

:-]

Step-by-step explanation: 20/0.4

Step-by-step explanation:

she starts with 20 pounds of rice (1 bag).

every day she uses 0.4 pounds.

to have 1.6 pounds left means she used 20-1.6 = 18.4 pounds.

so, the question really is : how many days until she used 18.4 pounds ?

that is

18.4 / 0.4 = 46

that means at the end of day 46 she will need to order a new bag.

Answer:3 and 1/4 +1 is 4 and 1/4 assuming the and means plus then it’s

4 and 3/4

Does this help?

Step-by-step explanation:

The lengths of the 3 parts of the board x,y,z would be 7 inch, 14 inch, and 35 inch.

If 3 pieces of 56 in. board have been cut into the ratio x: y: z,

The second piece y equals 2x and,

The third piece z equals 5x.

Now calculate the value of x:

x + y + z = 56

x + 2x + 5x = 5

8x = 56

x = 7 inches

Then, 2nd piece;

2x = 2(7)

2nd piece = 14 inches.

Now, the 3rd piece;

5x = 5(7)

3rd piece = 35 inches.

As a result, the lengths of the 3 parts x,y,z are 7 inches, 14 inches, and 35 inches, respectively.

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5x5=25 , 25x5= 125.

5x5=25, 25x5= 125, 125x5=625, 625x5=3125, 3125x5=15625, 15625x5= 78125.

Answer:

5^10

Step-by-step explanation:

When multiplying exponents with the same base, we add the exponents

5^3  * 5^7

5^(3+7)

5^10

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

To determine the length of the rectangle, first plug the given values into the formula above and solve for x.

P = 2( l + w )

132 = 2( 3x + x )

Apply distributive property

132 = 2(3x) + 2(x)

132 = 6x + 2x

132 = 8x

8x = 132

x = 132/8

x = 16.5

Now, the length of the rectangle will be;

Length l = 3x

Length l = 3( 16.5 )

Length l = 49.5 inches

Given the perimeter, the numerical length of the rectangle is 49.5 inches.

Hence, option 3) 49.5 inches is the correct answer.

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Using an exponential function, it is found that 48 new seniors will know the winner of the homecoming king election on the fourth day.

For this problem, we have that:

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

For this problem, the parameters are given as follows:

Hence the number of seniors that know the result on day x is given by:

[tex]y(x) = 3(2)^x[/tex]

On day 4, the amount is:

y = 3 x 2^4 = 3 x 16 = 48.

48 new seniors will know the winner of the homecoming king election on the fourth day.

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The number of units sold decreased and it decreased by

%decrese =4.23%

This is further explained below.

Generally, the equation for is  mathematically given as

Number of sold 450 units in 2011

431 units in 2012

No of Sold units decrease, so the Percentage decreased.

[tex]\% \text { decrease } &=\frac{450-431}{450} \times 100 \\\\&=\frac{19}{450} \times 100 \\[/tex]

=4.23%

In conclusion, the percentage decrease is

%decrese =4.23%

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CQ

A vacuum cleaner dealership sold 450 units in 2011 and 431 units in 2012. Find the percent increase or decrease in the number of units sold.

Did the number of units sold decrease or increase?

What percent did it it decrease or increase?

Answer: 1.66

For next time you can use calculator

Answer:

1.666

Step-by-step explanation:

5/6 × 2=5/3

=1.6666...

or you can use your calculator

The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: the x-intercepts are 3 and 4

The vertex is the lowest point on the curve

we know that

The equation of a vertical parabola in vertex form is equal to

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

where

(h,k) is the vertex of the parabola

if a>0 -----> then the parabola opens upward (a vertex is a minimum)

if  a<0 -----> then the parabola opens downward (a vertex is a maximum)

In this problem we have

y = [tex]x^{2}[/tex] - 7x +12

a = 1

so

the parabola opens upward (a vertex is a minimum)

Find the x-intercepts of the quadratic equation

Equate the equation to zero

y = [tex]x^{2}[/tex] - 7x +12

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}[/tex] - 7x = -12

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]x^{2}[/tex] - 7x + 12.25 = -12 + 12.25

[tex]x^{2}[/tex] - 7x + 12.25 = 0.25

Rewrite as perfect squares

[tex](x-3.5)^{2}[/tex] = 0.25

square root on both sides

(x - 3.5) = (+/-) 0.5

x =3.5(+/-) 0.5

x = 3.5+0.5=4

x = 3.5-0.5=3

therefore

the x-intercepts are 3 and 4

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a variety of seemingly unrelated mathematical descriptions, all of which may be shown to define the same curves.

One definition of a parabola includes a line and some extent  (the focus) (the directrix). The directrix isn't the main focus. The locus of points therein plane that is equally spaced apart from the directrix and the focus is known as the parabola. A right circular conical surface and a plane parallel to a different plane that is tangential to the conical surface intersect to form a parabola, which is additionally known as a conic section.

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Answer:

-4

Step-by-step explanation:

We can use the slope formula: [tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]

this formula is really just representing: [tex]\frac{\Delta y}{\Delta x}\\[/tex] or in other words, change in y/change in x

The slope formula is calculating that difference by subtracting the y and x-values.

By just looking at the tables we can easily see that from x=6 to x=8 there is a change in 2

and from y=-16 to y=-24 there is a change in -8

So plugging this into the slope formula we get [tex]\frac{-8}{2}=-4[/tex]

= 0.45

= 9/20

= (9 x 10)/(20 x 10)

= 90/200

= (1 x 100)/(2 x 100)

= 100/200

= 9/200

= 1.25

= 5/4

= 3/2

= 63/50

Answer:

8

Step-by-step explanation:

hope i help

Answer:

8 is the gcf

welcome

The values of the trigonometry will be:

If cosθ = 5/13, sin θ = 12 / 13.

If cosθ = 4, sec θ = 1/4.

Adjacent = 5

Opposite = 12

Hypothenuse = 13

It should be noted that cosθ = 5/13. This implies that adjacent / hypothenuse = 5/13.

The sin θ will be:

= Opposite / Hypothenuse

= 12 / 13

When cosθ = 4, sec θ will be the reciprocal. This will be = 1/4.

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Answer: the answer is 1/16

Answer:

9^7  

Step-by-step explanation:

9 to the 7th power

Answer:

-5, 1

Step-by-step explanation:
For every [tex]a[/tex] and [tex]x[/tex], the two numbers that are [tex]x[/tex] away from [tex]a[/tex] are [tex]a - x[/tex] and [tex]a + x[/tex].

Therefore, the two numbers that are 3 away from -2 are [tex]-2 - 3 = -5[/tex] and [tex]-2 + 3 = 1[/tex]