An ice cream store has 12 different flavors of ice cream, 5 toppings, and 3 types of cones. How many different combinations can they make?

Answer:

[tex] {y}^{2} + \frac{4}{y} = 2 \\ {y}^{3} + 4 = 2y \\ {y}^{3} - 2y + 4 = 0 \\ y = - 2, \: \: \: \: 1 + i[/tex]

Answer:

10,935

Step-by-step explanation:

lvl 1: 15 x 3=45

lvl 2: 45 x 3=135

lvl 3: 135 x 3=405

lvl 4: 405 x 3=1215

lvl 5: 1215 x 3=3645

finally lvl 6: 3645 x 3=10,935

Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

A geometric progression is a series in which every number is the product of the previous number and a common ratio.

The first term of a geometric progression is represented as a.

The common ratio is represented by r.

The n-th term of a geometric progression (aₙ) is determined by the formula,

aₙ = arⁿ⁻¹.

We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.

We are asked to find the points she will earn when she completes level 6.

The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.

In this geometric progression, a = 15, and r = 3.

We need to find the point collected by Taylor when she completes level 6.

This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:

aₙ = arⁿ⁻¹.

∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.

∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

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Answer:

D

Step-by-step explanation:

If it is September, then it is my birthday

The converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have a statement:

"If it is my birthday, then it is September"

As per definition, the converse of the statement says antecedent and effect reversed is known as a converse statement.

We can converse the given statement as follows:

If it is September, then it is my birthday.

Thus, the converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

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Answer:

Here

Step-by-step explanation:

So, AKH would be also 65 as well as AKX

Answer:

29.11

Step-by-step explanation:

This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.

Answer:

distributive

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4^0

Any number raised to the 0 power is 1.

Answer:

1

Step-by-step explanation:

Anything raised to  0  is  1.

Answer:

Step-by-step explanation:

They are vertical

Given:

Steven wrote this equation:

[tex]4\times 18=418[/tex]

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

[tex]4\times 18=418[/tex]

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

[tex]4\times 18=4\times (10+8)[/tex]

[tex]4\times 18=4\times 10+4\times 8[/tex]

[tex]4\times 18=40+32[/tex]

[tex]4\times 18=72[/tex]

Therefore, the correct product is 72.

Answer:

6 ounces

Step-by-step explanation:

Create a proportion where x is the number of ounces per 1 mile:

[tex]\frac{4.5}{0.75}[/tex] = [tex]\frac{x}{1}[/tex]

Cross multiply and solve for x:

4.5 = 0.75x

6 = x

So, the answer is 6 ounces

6 ounces

Step-by-step explanation:

Let the unknown number be x

[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]

Now simply use cross multiplication to solve it

[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]

Now make x as the Subject

[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]

So the answer is

6 ounces

Answer:

B

Step-by-step explanation:

The question says reflection across y = 1 so first find this line on the graph. It will be a horizontal line.

The Y axis is the vertical axis and so the 1 is the line right above the X axis.

So to reflect, it will be the same number away from the line when reflected as when it began on the opposite side of the line. So, S is one under the reflection line so it will be one above making its new point ( 2 , 2 )

Q is right on the line so it will not move.

R is two above the line so it will now be two below the line to have ( 3 , - 1 )

Answer:

D.

[tex]y = - 4x - 5[/tex]

Step-by-step explanation:

This is because the slopes are the same

Answer:

m = [tex]\frac{y+4}{x+5}[/tex]

Step-by-step explanation:

y-(-4) = m(x-(-5))

Simplify, distribute the negative sign outside of the parenthesis, remember negative times negative equals positive

y + 4 = m (x + 5)

Inverse operations, divide the equation by the value inside of the parenthesis

[tex]\frac{y+4}{x+5}[/tex] = m

Answer:

m=y+4x/x+5 your welcome !!

Answer:

See attached

Step-by-step explanation:

The proof is in the attached picture.

Answer: 30

Step-by-step explanation:

there are 5 fifths in 1 hinting the name fifths

So that means there are 30 fifths in 6

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

Work Shown:

7(-2-7k) + 4

7(-2) + 7(-7k) + 4

-14 - 49k + 4

-49k + (-14+4)

-49k - 10

In the second step, I distributed the outer 7 to each term inside. From there, I grouped and combined like terms, which were the -14 and 4.

Answer:

Step-by-step explanation:

17.63+145.86+52.91=206.40

i have no clue what you really need the question is unclear

Answer:

I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.

Hope this answer is right !

Answer:

Option B

Step-by-step explanation:

Given expression in the picture is,

[tex]13a^2-\frac{1}{4}(8a^2-12)+5a[/tex]

[tex]=13a^2-\frac{1}{4}(8a^2)+\frac{12}{4}+5a[/tex] [Distributive law]

[tex]=13a^2-2a^2+3+5a[/tex]

[tex]=11a^2+5a+3[/tex]

Therefore, Option B will be the correct option.

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

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

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

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

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10

Answer:

11 2/3

Step-by-step explanation:

2 1/3 * 5

Change the mixed number to an improper fraction

2 /13 = ( 3*2+1)/3  = 7/3

7/3 * 5/1

35/3

Now change it back to a mixed number

3 goes back into 35 11 times with 2 left over

11 2/3

Answer:

11 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

7/3 * 5/1  

Applying the fractions formula for multiplication,

7*5 = 35, 3*1= 3  overall= 35/3

Simplifying 35/3, the answer is

= 11 2/3

Answer:

273.

Step-by-step explanation:

Volume = length x width x height

Volume = 8.4 x 6.5 x 5

Volume = 273

Answer:

Trangle B and D

Step-by-step explanation:

They look more than 90 degrees

Answer:

[tex] \cos( {x}^{2}y ) = {y}^{2} \\ \frac{d( \cos( {x}^{2}y) ) }{dx} = \frac{d( {y}^{2}) }{dx} \\ (2xy + {x}^{2} \frac{dy}{dx} ).( - \sin( {x}^{2} y) ) = 2y \frac{dy}{dx} \\ \frac{- 2xy \sin( {x}^{2}y ) - {x}^{2} \sin( {x}^{2} y) }{2y} = \frac{dy}{dx} \\ [/tex]

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

[tex]A=P(1+\frac{r}{100})^n[/tex]

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

[tex]P=\$39000\\r=2.2\%\\n=4yrs[/tex]

Putting values in above equation, we get:

[tex]A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9[/tex]

Hence, $42546.9 will be the earning in 4 years.

Answer:

A. y^3 + 27

Step-by-step explanation:

Ed22

Answer: A. y3+27

Step-by-step explanation:

Answer:

223hjvfcnv5ctdydxrxr hgho8

Answer:56.548

Step-by-step explanation:

The formula for this is A=2πrh+2πr2

so A = 2π0.75(10) + 2π0.75(2)

So our surface area is 56.548

Answer:

$127.75

Step-by-step explanation:

Multiply the cost by the area to find the total cost