Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of the function.

Answers

Answer 1

The function is given by

[tex]\\ \tt\hookrightarrow D(p)=1500-25p[/tex]

Price must be greater than 0

[tex]\\ \tt\hookrightarrow 1500-25p\geqslant 0[/tex]

[tex]\\ \tt\hookrightarrow 1500\geqslant 25p[/tex]

[tex]\\ \tt\hookrightarrow p\leqslant 60[/tex]

Now

[tex]\\ \tt\hookrightarrow D_f\in (-\infty,60][/tex]


Related Questions

URGENT
answer choices.
Z

W

Y

X

Answers

Answer:

the answer is X.

Step-by-step explanation:

the line is located where it hits the most points on the graph.

A watermelon weighs 12 kilograms. How many pounds does it weigh

Answers

Answer:

Approximately 26.4 pounds

Step-by-step explanation:

1 kilogram is approximately 2.2 pounds.

12 * 2.2 =

26.4

Answer:

it weighs 33.0693

Step-by-step explanation:

multiple the mass value by  2.205

Find the inverse of each function.

Answers

as you should know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

[tex]\stackrel{f(x)}{y}=\sqrt{x}-5\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt{y}-5}\implies x+5=\sqrt{y} \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^{-1}(x)}{y}[/tex]

Glenda is at a restaurant eating a meal that costs $30. She has a discount coupon that gets her 10℅ off the cost. If she pays the water tip of 8℅ of her bill, how much is she spending on dinner including tip?​

Answers

Answer:

29.4

Step-by-step explanation:

The meal costs $30
Minus discount (10%) costs $27
Then she pays the bill (8%) which equals 2.4
So the answer is 27 + 2.4 = 29.4

Answer:

firt step you subtract 10 from 30 you will have 20 the second step you multiple 30 ×by 8% you will have 2.4

is the answer

In your own words what would the steps be to solve by graphing.

Answers

Answer:

Graph the first equation.

Graph the second equation on the same rectangular coordinate system.

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system. If the lines intersect, identify the point of intersection. ...

Check the solution in both equations.

Step-by-step explanation:

The table provides various values, including all zeroes, of a tangent function f(x) on the interval [-pi, pi]

What is the period of the function?
a) 4pi
b) 2pi
c) pi
d) pi/2

Answers

The period of the tangent function is given by:

b) 2pi

What is the period of a function?

It is the distance between the repetition of the function. If a function is defined on an interval and said to be periodic, the period is the length of the interval.

In this problem, the interval is [tex][-\pi, \pi][/tex], and after that the values will start repeating, hence the period is:

[tex]p = \pi - (-\pi) = 2\pi[/tex]

Thus option b is correct, as the period is of [tex]2\pi[/tex].

You can learn more about period of a function at https://brainly.com/question/16818112

Use the law of sines to find the value of y. Round to the nearest tenth. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 1. 4 units 1. 6 units 2. 5 units 2. 6 units.

Answers

The law of sines to find the value of y , round to the nearest

For :-StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction will be option (2) 1.6 units

i.e.   y = 1.586 ≅ 1.6 units

Given:

Use right angled triangle with angles A,B&C with sides are a,b&c where a = 2 and b = y

The Sine rule,

 [tex]\dfrac{a}{\rm \sin A}=\dfrac{b}{\rm \sin B}=\dfrac{c}{\rm \sin C}[/tex]

[tex]\rm \angle A = 75\textdegree\; and\; \angle B = 50\textdegree[/tex]        

We will put the value of these angles in this formula i.e Law of Sine ,

       [tex]\rm 2 \times \sin 50\textdegree = y \sin 75\textdegree\\\\\rm 2 \times 0.766 = y \times0.9659\\\\ y = 1.586 \cong 1.6\;units[/tex]

Therefore, StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction will be option (2) 1.6 units

i.e.   y = 1.586 ≅ 1.6 units

Learn more about Properties of triangles here:https://brainly.com/question/14812565

(a) Write 54.2% as a fraction.
Give your answer in its simplest form.

Answers

Answer:

Ans.=250 21/50

Step-by-step explanation:

54.2%=542/100

=271/50

=250 21/50

to get any percent value to a decimal or fraction format, we simply divide it by 100, first off let's make 54.2 to a fraction and then divide by 100.

[tex]54.\underline{2}\implies \cfrac{542}{1\underline{0}}~\hspace{10em}\cfrac{542}{10}\div 100\implies \cfrac{542}{10}\cdot \cfrac{1}{100}\implies \cfrac{271}{500}[/tex]

A box of chocolates shaped like a regular hexagon is placed snugly inside of a rectangular box as shown in the figure.If the side length of the hexagon is 4 inches, what are the dimensions of the rectangular box? (30°-60°-90° )

Answers

A regular hexagon has 6 congruent sides.

The dimension of the rectangle is 8 inches by [tex]4\sqrt 3[/tex] inches

How to determine the length of the rectangle

Start by calculating the value of x using the following cosine ratio

[tex]\cos(60) = \frac{x}{4}[/tex]

Make x the subject

[tex]x = 4 * \cos(60)[/tex]

Evaluate cos(60)

[tex]x = 4 * 0.5[/tex]

[tex]x = 2[/tex]

So, the dimension of the rectangle is:

[tex]Length = 2x + 4[/tex]

[tex]Width = 2x\sqrt 3[/tex]

This gives

[tex]Length = 2 * 2 + 4[/tex]

[tex]Length = 8[/tex]

[tex]Width = 2 * 2\sqrt 3[/tex]

[tex]Width = 4\sqrt 3[/tex]

Hence, the dimension of the rectangle is 8 by [tex]4\sqrt 3[/tex]

Read more about hexagons at:

https://brainly.com/question/2264170

can someone answer this for me im really bad at math 6x+17

Answers

Answer:

It cannot be answered if we don't figure out what x means. IF we knew what X is we can multiply 6 by x and then add 7.

an example would be if x was 3. we could figure out the answer by just doing (6*3)+7=25

help me please and thank

interval notation:

number line:

steps:​

Answers

Answer:

x ∈ ∅

Step-by-step explanation:

Solve each inequality and find the common set:

2x - 5 > - 11 ⇒ 2x > 5 - 11 ⇒ 2x > - 6 ⇒ x > - 3-10x - 6  ≥ 44 ⇒ - 10x ≥ 6 + 44 ⇒ - 10x ≥ 50 ⇒ x ≤ - 5

Solution interval:

x ∈ ∅

There is no solution to system to show on the number line

15 decreased by n

The expression is

Answers

Step-by-step explanation:

the expression of 15 decreased by n =15-n

~~ Find the value of x ~~

3^x = 9² ​

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]3^{x} =9^{2}[/tex]

[tex]3^{x} = 81[/tex]

[tex]xln(3) = ln(81)[/tex]

x = [tex]\frac{ln(81)}{ln(3)}[/tex]

x = 4

Answer:

x = 4

Step-by-step explanation:

[tex]3^{x} =9^{2}[/tex]

if:

[tex]9^{2} =3^{4}[/tex]

then:

[tex]3^{x} =3^{4}[/tex]

[tex]x=4[/tex]

Hope this helps

How do I solved this?

Answers

Answer: I believe it is D.

Step-by-step explanation:

WILL BRAINLIST!!
Without Using a calculator Evaluate
-81+203²

Answers

Answer:

41128

Step-by-step explanation:

Given: -81+203²

-81 + (203)(203)

-81 + 41209

41128

Answer:

41128

Step-by-step explanation:

[tex]=-81+203^{2} \\\\=203^{2}-81\\\\=41209-81\\\\=41128[/tex]

Which values are the result of cubing a rational number? Check all that apply.

15
27
36
64
125
216

Answers

Answer:

b, d, e, f

Step-by-step explanation:

bc

A recipe calls for fruit and nuts in the ratio of 8:5. If 160g of fruit is used what weight of nuts is required?​

Answers

160/8 = 20
20*5 = 100g of fruit

Answer:

100g of nuts

Step-by-step explanation:

Data :

 Ratio 8:5

Friut is  160 g

Now

160÷8 = 20

So 1 ratio is equal to 20g

20 × 5 = 100

Reflect triangle A in the line y= 1 . PLEASE I GIVE S LOT OF POINTS !!!!

Answers

Try flipping the triangle then matching it too the other side, where mah points at?

Describe the relationship between BOC and COD what is the sum of their angle measures

Answers

Answer: <BOC and <COD are supplementary. The sum of their angle measures is 180 degrees.

Step-by-step explanation:

Since angles BOC and COD both form a horizontal line (line BOD) when added together, the two angles are supplementary. Supplementary angles always equal 180 degrees when added together because they form a straight line, or half of a circle.

Therefore, <BOC and <COD are supplementary, and the sum of their angle measures is 180 degrees.

I hope this helps!

Put in ascending order

1.2, 0.2 ,1.22, 0.12, 0.002

Answers

0.002, 0.12, 0.2, 1.2, 1.22

have a nice day!

Question 2

Part A
Now you’ve written three equations that compare three different pairs of players. Which of the equations from question 1, parts B, C, and D, have no solution? Pleaseeee help I'll give brainliest.

Answers

make it clear and defined words

Answer:

Part B: 5y − 1 = 5y + 1

Step-by-step explanation:

5y − 1 = 5y + 1

5y − 5y = 1 + 1

0 = 2

Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders. What is the probability that an 8th grader will be selected?

Answers

The probability that an 8th grader will be selected from selection of a student for the considered case is 1/3

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, it is given that:

Twelve students have an equally likely chance of being selected in a drawing at school.Out of those 12, number of 7th grader = 8Out of those 12, number of 8th grader = 4

To find: Probability that an 8th grader will be selected

Take an event E as:
E = event of selecting an 8th grader.

Then, as there are 4 such students, so event E can be done in 4 ways.

Total students are 12, so selecting a student (whether E occurs or not) is do-able in 12 ways.

As all the students are equally likely, we can use the above definition of probability of an event E, and therefore, we get:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{4}{12} = \dfrac{1}{3}[/tex]

Thus, the probability that an 8th grader will be selected from selection of a student for the considered case is 1/3

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

what is the 3rd nth term in 3n+2

Answers

The third nth term in 3n+2 is 11

Answer:

3rd term is 11

Step-by-step explanation:

1st term: 3(1)+2 = 3+2 = 5

2nd term: 3(2)+2 = 6+2 = 8

3rd term: 3(3)+2 = 9+2 = 11

What do you think the difference is between a discrete random variable and a continuous random variable.

Answers

Answer:

Step-by-step explanation:

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring. ... A discrete random variable X has a countable number of possible values. Example: Let X represent the sum of two dice.

An equation is... ____________.

Answers

Answer:

a mathematical sentence thar has an equal sign

Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is StartFraction 3 Over 32 EndFraction of the bottle of juice and StartFraction 9 Over 64 EndFraction of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y? x minus y = 192 and StartFraction 9 Over 64 EndFraction x StartFraction 3 Over 32 EndFraction y = 42 x minus y = 192 and StartFraction 3 Over 32 EndFraction x StartFraction 9 Over 64 EndFraction y = 42 x y = 192 and StartFraction 9 Over 64 EndFraction x StartFraction 3 Over 32 EndFraction y = 42 x y = 192 and StartFraction 3 Over 32 EndFraction x StartFraction 9 Over 64 EndFraction y = 42.

Answers

that just started to confuse me

Answer:

A. x-y=192 and 9/64x+3/32y=42

Step-by-step explanation:

i got it right dw

WILL GIVE BRAINLIEST IF CORRECT ANSWER!!!!!!

Find the length of side x to the nearest tenth.

Answers

Answer:

4 units

Step-by-step explanation:

Consider the property of the 30x60x90 degree right triangle.

It has side with ratio:

a : b : c = 1 : √3 : 2, where a and b are legs and c- hypotenuse

According to the picture we have:

x : 8 = 1 : 2x = 8/2x = 4

How do you write 7.1 × 10^2 in standard form?

Answers

Hey there!

7.1 × 10^2

= 7.1 × 10 × 10

= 7.1 × 100

= 710


Therefore, your answer is: 710


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

710

Step-by-step explanation:

how do you know that 10x97.35 is not 9735

Answers

Because you only move the decimal(.) once because there is only one 0.

frank began to wash his car at 5:30am and ended at 7:05 am how long did he take to wash his car

Answers

Answer:

Timespan is 1 hour(s) and 35 minute(s).

Step-by-step explanation:

Hope this helps

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