Marie is buying an ice-cream sundae. There are 3 sizes of sundaes, 15 different ice-cream flavors, and 5 different toppings. How many ways can Marie choose a sundae?

Answers

Answer 1

225 different ways, because 3 x 15 x 5 = 225.

Answer 2

Since each size of sundae has 15 flavor choices, we can find the number of combinations by multiplying the size of sundaes with the different ice cream flavors. The same rule can be applied to the number of different toppings, so you can set up this equation:
[tex]3 \times 15 \times 5 = 225[/tex]
Multiplying them out, you can see that there are 225 different combinations of sundaes

Related Questions

Anyone know this geometry question? Will give brainiest

Answers

If AC must be parallel with BD and m∠6 is doubled, m∠3 must be doubled too.

This is because of the following rule:
When two lines are parallel, which is the occasion with AB and CD, then the corners in which the intecepting parallel lines (AC and BD) stand must be the same. So corner 6 is equivalent to corner 3, corner 1 and corner 5. Corner 2 and corner 4 are equivalent too.

Write the function associated with the graph below

Answers

That's a positive slope... I don't know if that's the kind of answer you're looking for, but it's a start I guess.

Since the value of the function is decreasing exponentially as x decreases ,

The function is of the form [tex] y=ae^{bx}+c,b>0 [/tex].

Since the curve passes through (0,6),

[tex] 6=ae^{0}+c,6=a+c [/tex],

Since the curve passes through (-1,0),

[tex] 0=ae^{-b}+c [/tex].

Since [tex] y=-3 [/tex] is a horizontal asymptote,

[tex] -3=ae^{-\infty}+c,c=-3 [/tex]

From the above 3 equations,

[tex] c=-3,a=9,9e^{-b}=3,e^b=3,b=\ln 3 [/tex].

Therefore, the required function is

[tex] y=9e^{\ln 3 x}-3\\
y=9*3^{ x}-3 [/tex].

It can be verified that the curve [tex] y=9*3^{ x}-3 [/tex] passes through [tex] (-2,-2) [/tex].

How much does the school have to charge for each candy bar to make a profit of 10 dollars per box?

Answers

the complete question is
A school purchases boxes of candy bars.
• Each box contains 50 candy bars.
• Each box costs $30.
How much does the school have to charge for each candy bar to make a profit of
$10 per box?

step 1
charge for each box $10
so
the new box cost $10+$30=$40

step 2
divide the new box cost to total candy bars
$40/50=$0.80

the answer is
the school have to charge for each candy bar $0.80

A. (-3,-5)
B.( -2,-2)
C. (4,9)
D.(13,5)

Answers

12. The inverse relation has the x- and y-values swapped.

The appropriate choice is ...
D. (13, 5)

20 points!
Looking at circle O, ∠BOC is a(n)
Please contact your teacher immediately if you do not see the image.

Question options:

minor angle

central angle

inscribed angle

major angle

Answers

Central angle. It is in the center

Short Answer B
A central angle is one that goes through the center of a circle. It's two ends are the endpoints of the chord BC which you should draw on your sheet.

If you do, we can talk about the other answers.
An inscribed angle is one that has it's vertex on the circumference. <BAC is an example. A is the vertex.

A major angle is the part above BC that goes around the circle such that the angle is larger than 180 degrees. It is described above by BAC going clockwise. It is associated with the arc of a circle.

A minor angle is the angle not included in the major angle. In this case it is the angle formed by sweeping around from B to C underneath the chord BC

Find the approximate surface-area-to-volume ratio of the Moon. The radius of the Moon is 1,080 miles. A. 0.0009 B. 0.0028 C. 360 D. 3,240

Answers

we know that
surface area of a sphere=4*pi*r²

volume of a sphere=(4/3)*pi*r³

the ratio surface area to volume
=4*pi*r²/[(4/3)*pi*r³]-----> 3/r----> 3/1080-----> 0.0028

the answer is
the option B. 0.0028

What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter.
A. 1,100 square meters
B. 1,112 square meters
C. 2,507 square meters
D. 2,605 square meters

Answers

we know that
[surface area of the cone]=pi*r²+pi*r*l
where
r is the radius
l is the slant height
l²=h²+r²
h=43 m
r=14/2---> 7 m
l²=43²+7²----> l²=1898--------> l=43.57 m
[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²

the answer is the option
B. 1,112 square meters

Which of the following gives all of the coefficients of the algebraic expression -2x^2 +17-15x+7xy

Answers

The coefficients of the algebraic expression -2x² + 17 -15x + 7xy are -2, 17, -15 and 7

How to determine the coefficient of the expression

From the question, we have the following parameters that can be used in our computation:

-2x² + 17 -15x + 7xy

Consider an expression represented as

Where A is a constant and x is the variable

The coefficient of the expression is A

Using the above as a guide, we have the following:

The coefficients of the algebraic expression are -2, 17, -15 and 7

Question

Which of the following gives all of the coefficients of the algebraic expression -2x^2 +17-15x+7xy

a. 2, 17, 15 and 7

b. -2, 17, -15 and 7

c. -2, -17, -15 and 7

d. -2, -17, 15 and 7

After creating a new email address, Gareth initially receives n emails per year. The number of emails received increases by 7% each year after that. The following expression represents the number of emails received after x years.

x(1 + 0.07)^x

Which of the following best represents the expression?

the product of the number of emails received initially and one plus the factor of increase raised to the number of years that the amount of emails Gareth received has increased

the product of the number of emails received initially and the factor of decrease raised to a period of x years

the product of the number of emails received initially and one plus the factor of decrease raised to the number of years that the amount of emails Gareth received has increased

the product of the number of emails received initially and the factor of increase raised to a period of x years

Answers

The correct answer is Option A.

The formula to find the number of emails x years after making the email account is:

[tex]N(x)= N_{o}(1+0.07)^{x} [/tex]

where, [tex] N_{o} [/tex] is the number of emails in the first year.

So, the number of emails x years after creating the account is the product of [tex] N_{o} [/tex], the number of emails in first year, and (1+0.07)^x, the sum of 1 and rate of increased raised to the number of years.

Hence option A is the correct answer.

Answer:

The correct answer is Option A.

Step-by-step explanation:

What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

Answers

To solve this problem you must apply the proccedure shown below:
1. You have to find the radius of convergence of the following Maclaurin series:
[tex](2x)/(1+ x^{2} ) [/tex]
2. Let's take the denominator and find the roots:
[tex]1+ x^{2} =0[/tex]
[tex] x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\ x2=-i[/tex]
3. The roots are [tex]x1=i \\ x2=-i[/tex] and the distance from the origin is [tex]1[/tex].
Therefore, the answer is: [tex]1[/tex]

The radius of convergence of the maclaurin series is 1 unit.

It is given that maclaurin series [tex]\rm \frac{2x}{(1+x^2)}[/tex]

It is required to find the radius of the convergence of the maclaurin series.

What is maclaurin series?

It is defined as the expansion of a function that provide the approximation of the given function at any point of function.

We have:

[tex]\rm \frac{2x}{(1+x^2)}[/tex]

To find the radius of convergence of the maclaurin series, we must find the roots of denominator hence:

[tex]\rm 1+x^2= 0\\\\\rm x^2 = -1\\\\[/tex]

From the complex number: the roots are imaginary:

[tex]\rm x_1 = i\\x_2 = -i[/tex]

i is the iota

and the distance from the origin (0,0) is 1.

Thus, the radius of convergence of the maclaurin series is 1 unit.

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What is the value of 3x^2 - 5xy + 5y^2 for x = -6 and y = 2?

A. -68

B. -4

C. 188

D. 208

Answers

If you put in x for -6 and y for 2, you get 3(-6)^2 - 5(-6)(2) + 5(2)^2.

Simplifying all the numbers, it's 3(36) + 30(2) + 5(4), and then 108+60+20. Going along, you get 188

Please help me with 8, 9, and 10 thanks! Show work too

RANDOM ANSWERS WILL BE MODERATED!

Answers

In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15

9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7

10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36

Tom caught 4 fish and his son caught 12 fish.The number of fish that Tom caught was what percent of the total number of fish?

Answers

total number of fish = 12+4= 16
tom % of fish = 4 divided by 16 = 0.25 =25%

Tom caught 25% of the fish.

Help Please
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.

Enter your answers in the boxes to complete the two-way table based on the given data.
First picture is how they want you to put the answers in & the second one is the grid with the numbers

Answers

The two way table is attached.

According to the Venn diagram, 4 people own a car and a truck. 15+4=19 people own a car, and 4+9=13 people own a truck. This leaves us 36-(15+4+9)=36-28=8 people that do not own a car or a truck.

We put 8 in the Don't Own a Truck row under the Don't Own a Car column.
We put 4 in the Own a Truck row under the Own a Car column.
We put 19 in the Total row under the Own a Car column.
We put 15 in the Don't Own a Truck row under the Own a Car column.

We put 13 in the Own a Truck row under the Total column.
We put 9 in the Own a Truck row under the Don't Own a Car column.
We put 23 in the Don't Own a Truck row under the Total column.
We put 8 in the Down Own a Truck row under the Don't Own a Car column.

We put 36 in the Total row under the Total column.
We put 17 in the Total row under the Don't Own a Car column.

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

2a

2b

2c

The eccentricity

Answers

The figure below shows the representation of this problem. We know from mathematics that an ellipse is a curve in a plane surrounding two focal points called F1 and F2, such that the sum of the distances to the two focal points is constant for every point on the curve. So, for the figure If you add the lengths of the focal radii of an ellipse will produce a constant value equal to 2a that is the line in red.

Equation of an ellipse

→having center (0,0) , vertex ([tex](\pm a ,0)[/tex] and covertex [tex](\pm b ,0)[/tex] and focus [tex](\pm c ,0)[/tex] is given by:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2}=1[/tex]

As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = [tex]F_{1}[/tex]

Distance from (-a,0) to (c,0) is = a + c = [tex]F_{2}[/tex]

[tex]F_{1} + F_{2} =[/tex] a -c + a +c

= a + a

= 2 a →(Option A )

What’s the answer for this question:)

Answers

For this case we have the following function:
f (x) = x + 4 if -4 <= x <3
f (x) = 2x-1 if 3 <= x <6
We observe that the function is defined from x = -4 (including it) to x = 6 (without including it).
Therefore, the domain of the function is:
[-4, 6]
Answer:
[-4, 6]
option 3

How would I find the diameter?

Answers

By measuring the width of the circle or sphere radius is half of the diameter

Express answer in exact form.

Find the area of one segment formed by a square with sides of 6" inscribed in a circle.

(Hint: use the ratio of 1:1:√2 to find the radius of the circle.)

Answers

Answer:

A = { 9/2 π - 9 } in^2

Step-by-step explanation:

I just did this

Hope this helps !

Final answer:

To find the area of the segment, subtract the area of the triangle from the area of the sector.

Explanation:

To find the area of one segment formed by a square with sides of 6 inches inscribed in a circle, we need to find the area of the sector formed by the circle and subtract the area of the triangle formed by the diagonal of the square.

First, find the radius of the circle using the given square. The diagonal of the square is equal to the diameter of the circle. Using the Pythagorean theorem, we have: r = s×√2/2 = 6×√2/2 = 3√2 inches.Next, find the area of the sector. The formula for the area of a sector is: A = (θ/360) × π r2. Since the square is inscribed in the circle, the angle θ is 90 degrees. Plugging in the values, we have: A = (90/360) × π (3√2)2 = π (9/2) square inches.Finally, find the area of the triangle. The diagonal of the square divides it into two congruent right triangles. The area of one of the triangles is: A = (1/2) b h = (1/2) × 6 × 6 = 18 square inches. Since there are two triangles, the total area of the two triangles is 36 square inches.To find the area of the segment, subtract the area of the triangle from the area of the sector. The area of the segment is: A = π (9/2) - 36 = (9π/2) - 36 square inches. This is the exact form of the area of one segment formed by the square inscribed in the circle.

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What is the focus of the parabola? [tex]y= \frac{1}{4} x^{2} -x+3[/tex]

Enter your answer in the boxes.

(__ , __)

Answers

we know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)

Write the equation of a horizontal line that passes through the point (3, -3).

Answers

check the picture below.

solve for z (attachment)

Answers

By similar triangles
                      z / 4 = (16 + 4)/z
                      z^2 / 4 = 20
                     z^2 = 80
                           z = 4√5
Therefore the answer to this question is z = 4√5.

Look at the picture.
[tex]\Delta ABD\ and\ \Delta BCD\ are\ similar,\ therefore:\\\\\dfrac{y}{4}=\dfrac{16}{y}\ \ \ \ |cross\ multiply\\\\y\cdot y=4\cdot16\\\\y^2=64\to y=\sqrt{64}\to y=8[/tex]
Use Pythagorean theory:
[tex]z^2=4^2+8^2\\\\z^2=16+64\\\\z^2=80\to z=\sqrt{80}\\\\z=\sqrt{16\cdot5}\\\\z=\sqrt{16}\cdot\sqrt5\\\\\boxed{z=4\sqrt5}[/tex]

After a 40% discount an item costs $360. what is the original cost

Answers

Original Price = Final Price / (100 - Discount)

So...

OP = 360 / 100 - 0.40
OP = 360 / 0.60
OP = 600

The original price is $600.

To check, do 600 - (600 * 0.40) in a calculator. You get 600 - 240 = 360, the discounted cost.

Answer:

It is $600

Step-by-step explanation:

hope it helps, murdle

The solution to 15 a2 − 1 = 5 2a − 2 is a = . The extraneous solution is a = .

Answers

For this case the correct expression is:
15 / (a ^ 2 - 1) = 5 / (2a - 2)
Rewriting we have:
3 / (a ^ 2 - 1) = 1/2 (a - 1)
6 / (a ^ 2 - 1) = 1 / (a - 1)
6 (a - 1) = (a ^ 2 - 1)
6 (a - 1) = (a-1) (a + 1)
(a + 1) = 6
a = 6-1
a = 5
Answer:
The solution is:
a = 5

Answer:

5 and 1

1 is extraneous

Step-by-step explanation:

If and represent rational expressions and b0 and y0, what is true of their product? Check all that apply.

Answers

Their product will be rational. Can I see the answer options?

Correct options are Options B, D, E. The product of two rational expressions (a/b) and (x/y) is a rational expression, specifically the ratio of ax and by, or equivalently ax/by. Incorrect options include ay/bx and a/y(x/b).

To determine the product of two rational expressions (a/b) and (x/y), where b ≠ 0 and y ≠ 0, let's explore the given options. Here are the truths about the product:

The product is a rational expression: When you multiply two rational expressions, the result is also a rational expression. This follows from the definition of rational expressions, which are ratios of polynomials.

The product is the ratio of ax and by: Mathematically, multiplying the numerators and denominators of the two rational expressions gives us (ax)/(by).

The product is equivalent to ax/by: This restates the above ratio in a simplified expression form, confirming that the multiplication results in (ax)/(by).

As we can see, the other expressions mentioned (ay/bx, a/y(x/b), a/(y(x/b))) are not correct representations of the product. Correct options are Options B, D, E.

Complete question:

If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.

A. The product is equivalent to ay/bx

B. The product is a rational expression.

C. The product is equivalent to a/y(x/b)

D. The product is the ratio of ax and by.

E. The product is equivalent to ax/b(y)

Use the grouping method to factor the polynomial below completely.

x3 – 4x2 + 3x – 12

A. (x2 + 4)(x – 3)
B. (x2 – 4)(x + 3)
C. (x2 – 3)(x + 4)
D. (x2 + 3)(x – 4)

Answers

After factor simplification of the polynomial, The answer is D

The answer is d
Hope that helped!!!!!!

A quilt is in the shape of a regular pentagon. It is made from 5 pieces of fabric that are congruent triangles. Each triangle has an area of 16 inches.What is the area of the quilt?

Answers

Multiply 16 × 5 because each triangle is 16 inches and you have 5 triangles.

16 × 5 = 80

The area of the quilt is 80 inches².

Final answer:

The area of the quilt, which is a regular pentagon made from five congruent triangles, is 80 square inches, determined by multiplying the area of one triangle (16 inches) by five.

Explanation:

The area of the quilt which is in the shape of a regular pentagon can be determined by calculating the area of the five congruent triangles that make up the pentagon. Since each triangle has an area of 16 inches, we can find the total area by simply multiplying the area of one triangle by the number of triangles.

To calculate the total area of the quilt:

First, determine the area of one triangle, which is given as 16 inches.Next, since there are five congruent triangles in the pentagon, multiply the area of one triangle by 5.The total area of the quilt would be 16 inches (per triangle) × 5 triangles = 80 inches.

Therefore, the total area of the quilt is 80 square inches.

For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph?

Answers

For this case we have the following function:
f (x) = x2
We apply the following transformation:
Vertical expansions and compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
f (x) = (1/2) * x2
Answer:
is compressed vertically by a factor 1/2

how do you convert cos(x) into sin(x) and tan(x) ?

Answers

since tan x = sin x / cos x, we could write:

tan x
cos x = ---------- In other words, rewrite "cos x" in an expression as

tan x
-----------
sin x

The square root of 53 lies between which two numbers?

Answers

The square root of 53 lies between 7 and 8.

There are a couple ways to find this. You could...
A. Use a calculator and simply find the square root of 53 (7.280...) OR
B. You could square each number (1^2, 2^2, 3^2...) until you get the closest 2 numbers (one less than and one greater than) to 53 (7^2 = 49) and (8^2 = 64).

I hope this helps!

What is -2(3x+12y-5-17x-16y+4) simplified?

-40x+8y+2

28x+8y+2

28x+6y+2

-28x-8y+2

Answers

[tex] -2(3x+12y-5-17x-16y+4) [/tex]

Combine like terms:
[tex]=-2(-14x-4y -1)[/tex]

Distribute 02:
[tex]=28x + 8y + 2[/tex]

A simplified expression involves rewriting an expression in a simpler form

The simplified expression is: 28x+8y+2

The expression is given as:

-2(3x+12y-5-17x-16y+4)

Collect like terms

-2(3x-17x+12y-16y-5+4)

Evaluate the like terms

-2(-14x-4y-1)

Open the bracket

28x+8y+2

Hence, the simplified expression is: 28x+8y+2