A sundae bar has five toppings to choose from. Any number of toppings can be
chosen. How many different sundaes are possible?

Answers

Answer 1

Answer: 32

Step-by-step explanation:

When given a question where there is a distinct set of items to choose from, the total number of configurations is equal to 2 to the power of number of different choices. Since there are five different choices, the number of different sundaes is equal to 2^5 or 32 sundaes.


Related Questions

A glide reflection is a composition of a line reflection and a translation that is parallel to the line of reflection. Unlike some composition of transformations, a glide reflection IS ____________________. Therefore, the line reflection and translation can be done in any ____________.

Answers

Answer:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

Step-by-step explanation:

Transformations can be written as operators that act on functions or shapes.

For example, we can define the horizontal translation operator as:

T(k)

And if we apply this to a function, we get:

T(k)[ f(x) ] = f(x - k)

Now, the operators are not necessarily commutative.

This means that if we have two operators:

K and L

is not the same:

K[ L[ f(x) ]]

than:

L[ K[ f(x) ]]

An example of this can be a reflection across the y-axis and a horizontal translation, that composition is non-commutative.

Now, let's go to our case.

A glide reflection is commutative, so we can perform the transformations in any order, then the statement is:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

real life example of point in geometry

Answers

Answer:

A location of a place in the Map. The tip of a needle.

Step-by-step explanation:

Definition, Example In geometry, a point is defined as an exact position or location on a plane surface. It is denoted by dot (.) Take a sharp pencil and make a dot on a paper. In the above image,the point is indicated as A. Needle is the best example where you can see the point in the top edge.

Pleaseeee helpppppp please please pleaseeee someone

Answers

Answer:

10

Step-by-step explanation:

(5x - 16) = 34

x = 10

En una clase de matemáticas hay 3 niñas y 3 niños del séptimo grado y 7 niñas y 5 niños del octavo grado. La maestra elige al azar un estudiante del
séptimo grado y un estudiante del octavo grado en la clase para una competencia. Cuál es la probabilidad de que los estudiantes que ella seleccione sean
Escribir la respuesta como una fracción en forma reducida.
ninas?

Answers

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Solve for x
Please help me with this

Answers

Answer:

hope this helps you look it once.

Answer:

x = 16, x = 17

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is

[tex]\frac{x+8}{20}[/tex] = [tex]\frac{2x-5}{22.5}[/tex] ( cross- multiply )

20(2x - 5) = 22.5(x + 8)

40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )

17.5x - 100 = 180 ( add 100 to both sides )

17.5x = 280 ( divide both sides by 17.5 )

x = 16

----------------------------------------------------------------

[tex]\frac{2x+8}{28}[/tex] = [tex]\frac{5x-4}{82-28}[/tex] = [tex]\frac{5x-4}{54}[/tex] ( cross- multiply )

28(5x - 4) = 54(2x + 8)

140x - 112 = 108x + 432 ( subtract 108x from both sides )

32x - 112 = 432 ( add 112 to both sides )

32x = 544 ( divide both sides by 32 )

x = 17

Use the information given to write the equation of the circle

Center: (-9, -3), Point on Circle: (-11,2)

Answers

x²+ y²+ 20x + 8y - 84 = 0 is equation of the circle .

What is a circle, exactly?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the center.

                    The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric about the center for all angles.

the equation of the circle with center (-10,-4) and a point on the required circle is (4,-2).

Clearly, radius of the circle will be distance between the center and the point on the circle.

    r = √( -10 - 4 )²+ ( -4 + 2 )²

     r =  √196 + 4

     r =  10√2

We know that circle with center at (h.k) and radius r has the equation

       ( x - h )² + ( y - k )² = r²

We have circle with radius 10√2    and center at (-10,-4) and its equation will be

        ( x+ 10 )² + ( y + 4)²= ( 10√2)²

     x²+ y²+ 20x + 8y - 84 = 0

Learn more about circle

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Answer:

Radius

r=11

Diameter

d=22

Circumference

c=22π

Area

a=121π

Standard form equation

(x+9)^2+(y-3)^2=121 is the awnser you most likley are looking for

Expanded form equation

x^2+y^2+18x-6y-31=0

❗️❗️❗️please answer fast‼️‼️‼️‼️

Answers

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.



identify whether the given pairs of events in a roulette game are mutually exclusive. Drag the items on the left to the correct location on the right.

mutually exclusive events

1 to 12 and red

not mutually exclusive

events

1 to 12 and 25 to 36

1 to 18 and odd

black and red

even and black

Answers

Answer:

Correct

not mutually exclusive events 1 to 12 and red

Correct

mutually exclusive events 1 to 12 and 25 to 36

Correct

not mutually exclusive events 1 to 18 and odd

Correct

mutually exclusive events black and red

Correct

not mutually exclusive events even and black

Step-by-step explanation:

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

Sandy paid $27 for her new sweater. If the sweater was on sale for 25% off, what was the original price?​

Answers

Answer:

The answer is $36

Step-by-step explanation:

Took the Star Math Test

Answer:

$36

Step-by-step explanation:

100% - 25% = 75%

75% as a decimal = 0.75

75% = 27

75% as a decimal = 3/4

So 3/4 x = 27

27 x 4 = 108

108 / 4 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

17) Evaluate D(4)
Please help

Answers

Answer:

D(4) = 6

Step-by-step explanation:

Using the blue graph, find the y value when x =4

the y value is 6 when x=4

D(4) = 6

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

pls help c:

Answers

B) 1/9

[tex]\\[/tex]

[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]

[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.

[tex]\\[/tex]

[tex]\red\bigstar[/tex]The probability of getting a consonant

[tex]\pink\implies[/tex] 2/6 = 1/3

[tex]\\[/tex]

[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]

[tex]\rule{300px}{.7ex}[/tex]

[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]

Option B is correct - 1/9

Is 5x^2-8x+4/x+11x^5/2 a polynomial? True or False. Justify your answer

Answers

Answer:

false..................

HELP ASAP WILL AWARD BRAINLIEST ! find the product of the binomials f(x) and g(x). write your answer in standard form

Answers

Answer:

y=x^2 -5x+4

Step-by-step explanation:

F(x)= -x+1

G(x)-x+4

(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4

Answer:   x^2 - 5x + 4

=======================================================

Explanation:

The f(x) function goes through (0,1) and (1,0). It's slope is

m = (y2-y1)/(x2-x1)

m = (0-1)/(1-0)

m = -1

The y intercept is b = 1 because this is where the blue line crosses the y axis.

We go from y = mx+b to y = -1x+1, or simply y = -x+1.

So f(x) = -x+1

Through similar steps, you should find that g(x) = -x+4

Both f(x) and g(x) have the same slope, which makes them parallel lines.

-----------------------------------

Once we know what f(x) and g(x) are, we multiply them out like so:

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( -x+1 ) * ( -x+4 )

f(x) * g(x) = w(-x+4) ..... let w = -x+1

f(x) * g(x) = -xw + 4w ... distribute

f(x) * g(x) = -x( w ) + 4( w )

f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1

f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more

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

You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.

hhhhheeeelppppp !!!!!

Answers

Answer:

attached above is the answer

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Can someone help me pleaseeee!!!:(

Answers

Answer:

Step-by-step explanation:

math is a thing pls like this it was meaningful ;;;;;;;;;0

Answer:

Step-by-step explanation:

Nah

Help!!! I’ll give brainliest
The width of Gabby's backyard is 4 meters shorter than its length, and its area is equal to 120 square meters Which equation can be used to find the possible values for the length of Gabby's backyard, x?

Answers

Answer:

B

Step-by-step explanation:

What is the difference between a 30° angle and a -30° angle?
Please provide a complete sentence or two.

Answers

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

Sylvie is going on vacation. She has already driven 63 miles in one
hour. Her average speed for the rest of the trip is 58 miles per
hour. How far will Sylvie have driven 5 hours later?

Answers

Answer:

353 miles

Step-by-step explanation:

58 x 5 = 290

290 + 63 = 353

I need help please
Which table represents a linear function?

Answers

The first one I believe.

xHelp I need help on this math question I think its easy for others.

Answers

Answer:

1) D

2) A

Step-by-step explanation:

I hope this helps.

5x-1/5=7/3
Find The LCD That would eliminate the fractions

Answers

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

WHAT IS THE MEASURE OF ANGLE F?

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

Find the area of the shaded region. Round your answer to the nearest tenth.

PLS HELP

Answers

You have to find the area of the circle and then subtract it from the area of the rectangle and the area of the rectangle is 1120 and then the area of the circle is 113.04? I think. So then I think it would be 1006.96

A=1006.96

Please hurry! Please help!

Answers

i believe the answer is 4
the answer is 4 hope helps

Which angle is coterminal with a 110° angle?
O A. An angle measuring 460°
O B. An angle measuring -110°
C. An angle measuring 290°
O D. An angle measuring 470°

Answers

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

What are coterminal angles?

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

Learn more about coterminal here

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Estimate 11.14+9.543 by first rounding each number to the nearest tenth.

HELP PLSZZ

Answers

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.


Factor by grouping.

6p2 – 17p – 45


(2p – 9)(3p – 5)


(2p + 9)(3p – 5)


(2p – 9)(3p + 5)


(2p + 9)(3p + 5)

Answers

Answer:

C

Step-by-step explanation:

hope this helps with the work don't know how I keep finding your questions

Write equation of a line through the points (4,2) and (6,-4)

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

the measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth interior angle?
please help it’s due soon and show the work!!

Answers

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

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