nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings​

Answer:

The correct option is;

C. The rate at which the account is increasing

Step-by-step explanation:

The given parameters are;

The rate at which the compound interest on the savings account is compounded = quarterly

The expression given by her banker to find the amount in the account after t years = 4,200(1.05)^(4t)

Therefore, the 1.05 = The rate at which the account is increasing

Answer:

f(-3) = -16

Step-by-step explanation:

Given piecewise function is,

f(x) = 5x - 1       If x < -2

        x + 3       If x ≥ -2

We have to find the value of he function when x = -3

Since x = -3 is less than x = -2,

Piece of the function to be considered,

f(x) = 5x - 1

f(-3) = 5(-3) - 1

f(-3) = -16

Answer:

B

Step-by-step explanation:

The equivalent expression is [tex]16x^{8}[/tex]. So, the correct option is B.

Given:

The given expression is:

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0[/tex]

To find:

The equivalent expression.

Explanation:

We have,

[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8}[/tex]

On simplification, we get

[tex]=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})[/tex]

[tex]=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})[/tex]

[tex]=12(x^{8})(5)[/tex]

[tex]=16x^{8}[/tex]

Therefore, the correct option is B.

Learn more:

https://brainly.com/question/23916512

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

Answer:

7/13

Step-by-step explanation:

Let's call x= numerator

We know that :

Denominator= x+6

And

(numerator +2)/(denominator +2) = 3/5

So

(x+2)/(x+6+2)=3/5

(x+2)/(x+8)=3/5

(x+2)*5=(x+8)*3

5x+10=3x+24

2x=14

x=7

In the end

Numerator= x =7

Denominator=x+6 = 13

So the original number is 7/13

I hope this helps, have a beautiful day

Answer: {-8/15, -0.51, 0.51, 8/15}

Answer:

gang wars

Step-by-step explanation:

Answer:

y = 30x + 20

y = $200

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

= 620 miles

Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours

Answer:

Magnetic induction

Step-by-step explanation:

The process of making a nail magnetic called magnetic induction.

When one initiates a process that will make a nail magnetic, this process is known as magnetic induction

Magnetic induction:

When a nail is made into a magnet, it is usually done with the use of electricity. This process of magnetic induction is very important as it is used in the production of electricity.

In conclusion, this process is known as magnetic induction.

Find out more at https://brainly.com/question/2292919.

Answer:

y = -6/5x + 3

Step-by-step explanation:

y = mx + c (or b, depending on where you're from)

Slope = m = -6/5

y = -6/5x + c

You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3

Therefore, the equation is y = -6/5x + 3

Hop this helps

Answer:

8/9,1/2,49/100,11/20, 1/13

Step-by-step explanation:

Here, we want to list the numbers in ascending order

From the smallest to the highest

So we have;

8/9,1/2,49/100,11/20, 1/13

The key to this can be expressing the numbers in their decimal forms

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Use the formula for |A| <= B which is: -B <= A <= B

For this example you would do:

1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6

2. first do the math for -6 <= 2x-8 which is 1 <= x

3. then do the math for 2x - 8 <= 6 which is x <= 7

4. Put that together and you get 1 <= x <= 7

Good luck on the other questions!

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

Answer:

17

Step-by-step explanation:

Answer:

yes if decimals aren't included

Answer: implicit

Step-by-step explanation:

What rule would I need to find the derivative of an inverse function?

Answer:is 18 yd the radius

Step-by-step explanation:

if so its 113.1

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

If: x = 6

Expression: 8 + x

8 + x

= 8 + 6

= 14

Answer:

For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13

Step-by-step explanation:

For the first triangle,

cos(45°)=7/hypotenuse

hypotenuse×cos45=7

hypotenuse×√2/2=7

hypotenuse=14/√2=7√2

We can now find the adjacent side using Pythagorean theorem,

√(7√2)²-7²=7

For the second triangle,

cos(30°)=adjacent/hypotenuse

but cos 30=√3/2

√3/2=adjacent/26(cross multiply and simplify)

26√3/2=13√3

To find the opposite length,

√(26)²-(13√3)²=13

Answer:

side xy

Step-by-step explanation:

the shortest side is across from the smallest angle.

using the fact that all angles in a triangle add up to 180 degrees, we can figure out that angle z is 30 degrees

therefore, the opposite side from the smallest angle (angle z) is xy

It helps if you draw the triangle out or try to visualize it

Hope this helps:)

Answer:

a=9

Step-by-step explanation:

a^2+b^2=c^2

a^2+5.6^2=10.6^2

a^2+ 31.36=112.36

-31.36           -31.36

a^2=81

a=[tex]\sqrt{81}[/tex]

a=9

Answer:

9in

Step-by-step explanation:

is a right triangle so you can use Pythagorean Th.

(10.6)²= (5.6)² + a², subtract (5.6)² from both sides

(10.6)²- (5.6)² =  a²

81 =a², squareroot both sides

√81= √a²

±9 = a we only consider the positive solution because we use it for measurements so a=9