The table to the right shows the volume discounts offered by a​ company, where x is the volume of a purchase in dollars. Assume that the volume discounts in the table apply to the entire purchase. That​ is, if the volume x satisfies $300≤x<$1,000​, the entire purchase is discounted 4%. Answer ​a) and ​b) below.
$300≤x<$1,000
$1,000≤x<$3,000
$3,000≤x<$5,000
$5,000≤x
4%
5%
6%
10%

Volume Discount
(Excluding tax)
Volume($x)
Discount Amount
Question content area bottom
Part 1
​a) If x is the volume of a purchase before the discount is​ applied, write a piecewise definition for the discounted price​ D(x) of this purchase.
D(x)= x if 0≤x<300 enter your response here if 300≤x<1,000 0.95x if 1,000≤x<3,000 enter your response here if 3,000≤x<5,000 0.90x 5,000≤x

Answer:

(-9) Simplify is just 9

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

5 x 5 = 25

25 - 7 = 18

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 20÷100×100 =20

[tex]\boxed{\begin{minipage}{5cm}20\:percent\:of\:100\:is\:20, or one-fifth \\ of 100. \end{minipage}}[/tex]

Answer:

no solution

Step-by-step explanation:

2|x-1|=½X+8

|x-1|=x+1

2(x+1)=½X+8

2x+2=½X+8

multiple both side by 2

4x+4=x+16

4x-x=16-4

3x=12

x=4

Answer:

-8

Step-by-step explanation:

Substitute -8 for x

h(-8) = ((-8)² + 3(-8)) ÷ (4(-8) + 27))
         = (64 - 24) ÷ (-32 + 27)
         = 40 ÷ -5
         = -8

Reroll 6’s = 26 times

Failed turn on 6's = 21 times

If the initial roll is a 6, the question enters an unending cycle. Reroll till it isn't 6, or simply treat it as a failed round since the roll was legal and didn't result in a pair of twos.

The likelihood of each number being rolled is the same.

If the first roll is n, there are (6 - n) options for the greater number. Thus p = 1/(6 - n) for a specific (possible) result such as n + 2.

Then,

p(2 apart) = p(1, then 3) + p(2, then 4) + p(3, then 5) + p(4, then 6)

Reroll 6’s:

p(2 apart) = (1/5)(1/5) + (1/5)(1/4) + (1/5)(1/3) + (1/5)(1/2)

p(2 apart) = (1/5)(1/5 + 1/4 + 1/3 + 1/2) = 0.25666…

So for 100 times, we will get 26 times 2 apart

Failed turn on 6:

p(2 apart) = (1/6)(1/5) + (1/6)(1/4) + (1/6)(1/3) + (1/6)(1/2)

p(2 apart) = (1/6)(1/5 + 1/4 + 1/3 + 1/2) = 0.2138

So for 100 times, we will get 21 times 2 apart

To know more about Probability, refer to this link :

https://brainly.com/question/5086238?referrer=searchResults

#SPJ1

Answer:

x = 11

Step-by-step explanation:

If given angles m∠A = (3x +22)° and m∠B= (7x – 22)°, the value of x is 11.

Vertical angles are formed by the intersection of two lines. They are opposite to each other and have equal measures. In this case, we have two vertical angles, ∠A and ∠B.

Given that m∠A = (3x + 22)° and m∠B = (7x - 22)°, we can set up an equation based on the fact that vertical angles are equal.

(3x + 22)° = (7x - 22)°

To solve for x, we can simplify the equation:

3x + 22 = 7x - 22

Next, we can isolate the variable x by moving the terms containing x to one side of the equation:

3x - 7x = -22 - 22

-4x = -44

Finally, we divide both sides of the equation by -4 to solve for x:

x = -44 / -4

x = 11

To learn more about angles click on,

https://brainly.com/question/28821906

#SPJ2

Answer:

Step-by-step explanation:

white cops

Answer:

25

______________________________________________________

[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
Learn more about PEMDAS:
https://brainly.com/question/10850764

Have a WONDERFUL day! (:

The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

Here,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

We have to find the value of given expression.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

To solve, we get;

⇒ ( 19 - 4 )² ÷ (34 − 5²)

⇒ ( 15 )² ÷ (34 − 25)

⇒ 225  ÷ 9

By divide,

⇒ 25

Hence, The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

Learn more about the mathematical expression visit:

https://brainly.com/question/27984898

#SPJ2

The diameter of the circle whose circumference is 47.1cm comes out to be 15cm

Let us assume the diameter of circle whose circumference be x

The formula for circumference of the circle is 2 r

As we are already been provided with the circumference of the circle in the question as 47.1 cm

The radius of circle is half of the diameter of the circle

So, the radius of the circle is x/2

 2 r = 47.1

We will use the value of as 3.14 as provided in the question

2 3.14 x/2 = 47.1

3.14x= 47.1

X=47.1/3.14

X= 15cm

So, the diameter of the circle whose circumference is 47.1cm comes out to be 15cm

The correct question is What is the diameter of a circle whose circumference is 47.1 cm? use 3.14 for pi and enter your answer as decimal

To know more about circumference - https://brainly.com/question/4268218

#SPJ9

On solving the linear equation, There are in total 24 unshaded squares and 16 shaded squares.

Ax+By=C is the usual form for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).

squares, where x= number of squares

2x = shaded squares

Number of unshaded squares = 3x.

This is due to the fact that there are 3 times as many unshaded squares as there are shaded squares (2 times more unshaded = 3*). (shaded)

Overall, there are 40 squares (5 * 8), therefore 40 total squares—shaded and unshaded—are present.

2x+3x = 40

5x = 40

x = 40/5

x = 8

There are 3×8 = 24 unshaded squares

8×2 = 16 shaded squares in all.

Therefore, you may shade in 8 squares whatever you choose.

To learn more about linear equation from given link

https://brainly.com/question/2030026

#SPJ9

Answer:

  -19/60

Step-by-step explanation:

You want the rational number halfway between -1/3 and -3/10.

The average of two numbers is the number halfway between them. It is their sum, divided by two.

Effectively, you are being asked for the average of -1/3 and -3/10.

  [tex]\text{average }=\left(-\dfrac{1}{3}-\dfrac{3}{10}\right)\times\dfrac{1}{2}=-\dfrac{1\cdot10+3\cdot3}{3\cdot10\cdot2}=\boxed{-\dfrac{19}{60}}[/tex]

Answer:

m+6n+5

Step-by-step explanation:

Let's simplify step-by-step.

m+8+6n−3

=m+8+6n+−3

Combine Like Terms:

=m+8+6n+−3

=(m)+(6n)+(8+−3)

=m+6n+5

Answer:

[tex]lcm = 420[/tex]

[tex]hcf = 21[/tex]

Answer:

Volume = 4 cubic units

Hope this helps :)

Step-by-step explanation:

Formula for Volume of a Rectangular prism = l × w × h

1. Substitute the letters l, w, h with the numbers.

V = 1 × 1 × 4

V = 1 × 4

V = 4 cubic units

The equation:[tex]53 = 8x + 5[/tex]

Get 5 to cross over the = sign so it meets its kind which is 53 and then changes to minus(-) due to the equality sign.

[tex]53 - 5 = 8x⟹ 48 = 8x[/tex]

Now divide both sides of the equation by 8 to find the value of x

[tex] \frac{48 }{8} = \frac{8x}{8} [/tex]

[tex]6 = x[/tex]

Therefore:

[tex]x = 6[/tex]

The sampling techniques are given as follows:

a) stratified sample.

b) simple random sample.

c) cluster sample.

d) systematic sample.

e) convenience sample.

Samples may be classified as:

Then:

More can be learned about sampling techniques at https://brainly.com/question/25122507

#SPJ1

Answer:

Just plug-in the variable associated with the question.

Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6

4) w(x) = 3x - 1 --> replace the x with -8

6) k(n) = 3n² - 1 --> replace the n with 4

8) g(a) = -2a² + 5 --> replace the a with 9

For example, for number 8, the answer would be -157 if you plug in the value.

g(9) = -2(9)² + 5

        = -2(81) +5

        = -165 + 5

        = -157

Answer:

B, -6+4

Step-by-step explanation:

By using the distributive property on -(-4) you multiply the negative by -4, which makes it a positive, aka +4

- a negative x a negative = positive

- negative x positive = negative

- positive x positive = positive

Therefore, you get -6+4.

The graph cannot be used to complete the table of values and the missing value of a is 7

The graph represents the given parameter

There are no points plotted on the graph

This means that the table of values cannot be completed

Hence, the graph cannot be used to complete the table of values

The table represents the given parameter

On the table, we have the following points

(x, y) = (0, -2), (2, 4), (3, a)

Also, we have that the points fall on a line

This means that the points make a linear equation

By analyzing the x and y values, we can see that

As x increases by 2, y increases by 6

This means that as x increases by 1, y increases by 3

So, when x = 3, the value of y is

y = 4 + 3

Evaluate

y  = 7

Rewrite as

a= 7

Hence, the missing value of a is 7

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

Answer:

y = 1/3x - 3

Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer:

4.47 OR,. 4 whole 8/17

4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76

Step-by-step explanation:

[tex] \frac{76}{17} [/tex]

By dividing;

=4.47

Recall the Weierstrass product definition of the gamma function,

[tex]\displaystyle \frac1{\Gamma(z)} = ze^{\gamma z} \prod_{n=1}^\infty \left(1+\frac zn\right) e^{-z/n}[/tex]

from which we can obtain the log-gamma (i.e. logarithm of gamma) function,

[tex]\displaystyle -\ln\Gamma(z) = \ln(z) + \gamma z + \sum_{n=1}^\infty \left(\ln\left(1 + \frac zn\right) - \frac zn\right)[/tex]

where [tex]\gamma[/tex] is the Euler-Mascheroni constant.

Let [tex]z=1[/tex], so that

[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n - \ln\left(1 + \frac 1n\right)\right)[/tex]

Recall the power series

[tex]\displaystyle \ln(1 + x) = - \sum_{n=1}^\infty \frac{(-x)^n}n[/tex]

Along with the definition of the Riemann zeta function,

[tex]\displaystyle \zeta(a) = \sum_{b=1}^\infty \frac1{b^a}[/tex]

we find that

[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n + \sum_{m=1}^\infty \frac1m\left(-\frac1n\right)^m\right) \\\\ ~~~~ = \sum_{n=1}^\infty \sum_{m=2}^\infty \frac1m \left(-\frac1n\right)^m \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m}m \sum_{n=1}^\infty \frac1{n^m} \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m \zeta(m)}m[/tex]

so the original sum's value is [tex]\boxed{\gamma\approx0.577216}[/tex].

There are 18 more servers than cooks at Bruno's burgers when the ratio is 2 : 5.

We are given that the ratio of cook to server in Bruno's Burgers is given by 2 : 5

We also know that the total number of cooks and servers = 42

Now, let number of cooks be 2 x and the number of servers be 5 x

So, ATQ, we get that:

2 x + 5 x = 42

7 x = 42

x = 42 / 7

x = 6

Number of cooks = 2 x = 2 (6) = 12

Number of servers = 5 x = 5 (6) = 30.

Difference = 30 - 12 = 18

Therefore, we get that, there are 18 more servers than cooks at Bruno's burgers when the ratio is given as 2 : 5.

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ9

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is defined by:

f(x) = |x|.

And has vertex at (0,0).

After a translation, the absolute value function is given by:

g(x) = |a(x - h)| + k.

The vertex is at: (h, k).

In this problem, the function is:

g(x) = |-0.5(x + 3)| - 1.

Hence:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

In the given function, the Statement B and C are correct.

According to the statement

We have to find that the y-values of the two functions.

So, For this purpose, we know that the

Function is an expression, rule, or law that defines a relationship between one variable and another variable

From the given information:

The given functions are:

f(x) = -5* +2 and g(x)=-5x² +2

In these functions, we see that the when we solve these functions

Then

The maximum y-value of f(x) approaches 2.

And when we solve the function g(x) then g(x) has the largest possible y-value.

Then the statements in the two functions are the Statement B and C correct.

So, In the given function, the Statement B and C are correct.

Learn more about Function here

https://brainly.com/question/24349828

#SPJ9