Which functions represent exponential growth?

y = f(x)

y = h(x)

y = g(x)

y = k(x)

Answer:

80 ways

Step-by-step explanation:

The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.

In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:

8 * 10 = 80

There are 80 ways to combine appetizers and the main course

Final answer:

A person can order from a restaurant 120 different two-course meals using the Fundamental Counting Principle, as there are 10 appetizers and 12 main courses to choose from.

Explanation:

The question is asking how many different two-course meals can be ordered if a restaurant offers 10 appetizers and 12 main courses. According to the Fundamental Counting Principle, if there are separate events and the first event can occur in 'm' ways and the second in 'n' ways, then the events together can occur in a total of m x n ways.

Using this principle:

Number of ways to select an appetizer = 10

Number of ways to select a main course = 12

Therefore, the total number of two-course meal combinations = 10 appetizers x 12 main courses = 120 combinations

So, a person can order 120 different two-course meals from this restaurant.

Answer:

y= -6x^3

Step-by-step explanation:

Look at the points on the graph and plug into the equations

when x = -1, y must equal 6

(-1)^3 = -1

(-1) x (-6) = 6

y= -6x^3, equation represents the transformed function.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Look at the points on the graph and plug into the equations

when x = -1, y must equal 6

(-1)^3 = -1

(-1) x (-6) = 6

Hence, y= -6x^3, equation represents the transformed function.

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Answer:

2162 miles

Step-by-step explanation:

The equation of the circumference of a circle is d*pi = Circumference. Knowing this, We can do a one step equation and divide be pi on both sides to find the diameter. All you have to do is plug the numbers in and divide 6790 by 3.14 to find 2162. (Rounded to the nearest mile)

Final answer:

To find the diameter of the moon, use the formula for circumference. Given the circumference of the moon, substitute the value into the formula to find the radius. Multiply the radius by 2 to find the diameter. Round the result to the nearest mile.

Explanation:

To find the diameter of the moon, we can use the formula for circumference: Circumference = 2πr, where r is the radius. Given that the circumference of the moon is about 6,790 miles, we can rearrange the formula to solve for the diameter. Since diameter is twice the radius, we have Diameter = 2r. Substitute the given circumference value into the formula to find the radius. Then multiply the radius by 2 to find the diameter. Round the result to the nearest mile.

Step 1: Circumference = 2πr

Step 2: Given circumference = 6,790 miles

Step 3: Solve for r: 6,790 miles = 2πr

Step 4: Divide both sides of the equation by 2π: r ≈ 1,080 miles

Step 5: Multiply r by 2 to find the diameter: Diameter ≈ 2 * 1,080 miles ≈ 2,160 miles

Therefore, the diameter of the moon, rounded to the nearest mile, is approximately 2,160 miles.

Answer:

B

Step-by-step explanation:

Simplify the equations into standard form

(2x^2+x+3) + (x^2+3x+2)

Then add

3x^2+4x+5

Answer:

All Real Numbers

Step-by-step explanation:

edg answer D

This is the correct answer.

Answer:

All Real Numbers

Step-by-step explanation:

Answer:

The sum of the angles in the triangle is 180°.

The three angles are adjacent and form a straight

The third angle is 45°.

There is a pair of congruent angles.

Step-by-step explanation:

The diagram is missing but we can dwell on the limited information to answer.

We know angles in a triangle add up to 180°.

Therefore when we cut all these angles and arranged them on a straight line, their sum should be 180°.

Since the three angles are on a straight line they are adjacent.

Since the diagram is missing, these are the truth statement we have for now.

Answer:

The sum of the angles in the triangle is 180°.

The three angles are adjacent and form a straight angle.

The third angle is 45°.

There is a pair of congruent angles.

Step-by-step explanation:

Sorry is late I just took the assignment

Answer:

2.1375 bottles of paint

Step-by-step explanation:

cardboard length = 14 1/4 ft, which is equivalent to (4*14 + 1)/4 = 57/4 ft

cardboard width = 6 ft

Rectangular cardboard area = length * width = 57/4 * 6 = (57*6)/4 = 342/4 ft²,  which can be simplified dividing numerator and denominator by 2: 171/2 ft²

If 1 bottle of paint covers an area of 40 square feet, then to paint 171/2 square feet the following proportion must be satisfied:

1  bottle of paint / 40 square feet = x bottles of paint / (171/2) square feet

x = (1/40) * (171/2) = (1*171)/(40*2) = 171/80 or (160 + 11)/80 = 160/80 + 11/80 = 2 11/80 or 2.1375 bottles of paint

Answer:

105 = (w+8) *w

w = 7 cm

l = 15 cm

Step-by-step explanation:

Area of a rectangle is

A = l*w

l = w+8

105 = (w+8) *w

Distribute

105 = w^2 +8w

Subtract 105 from each side

105-105 = w^2 +8w -105

0 =w^2 +8w -105

Factor

What 2 number multiply to 105 and add to 8

15*-7 = -105

15-7 = 8

(w+15) (w-7) =0

Using the zero product property

w+15 =0               w-7 =0

w=-15                      w=7

impossible

not negative

w =7

l = 15

Answer:

Width: w

Length: w + 8

w(w + 8) = 105

w² + 8w - 105 = 0

w² + 15w - 7w - 105 = 0

w(w + 15) - 7(w + 15) = 0

(w + 15)(w - 7) = 0

w = -15, 7

width = 7cm

length = 7+8 = 15cm

Answer:

m=7

Step-by-step explanation:

m=5-(-2)/-3-(-4)

m=7/1

m=7

Answer:

The slope of the two points would be 7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1/3x30 is 10 which would be 10 spoons

1/2x20 is also 10 which would be another 10 spoons

10+10 equals 20

you have 21 spoons which means that you will have enough spoons of sugar to make all 50 cupcakes

Answer:

Yes as the small cupcakes would need 10 spoons (=1/3 of 30) where the large cupcakes would need 10 spoons of sugar (=1/2 of 20).

Step-by-step explanation:

30 x 1/3 = 10

30 x 1/2 = 10

10+10 =20

= 20 spoons of sugar makes 10 of each size cupcakes, so 21 spoons mentioned in the question would be enough.

Given:

Image of the figure

To find:

The area of the figure.

Solution:

The image is splitted into two shapes.

One is rectangle and the other is trapezium.

Reference image for answer is attached below.

Rectangle:

Length = 10 cm

Width = 2.8 cm

Area = length × width

        = 10 × 2.8

Area = 28 cm²

Trapezium:

Top base = 6 cm

Bottom base = 10 cm

Height = 7.2 - 2.8 = 4.4 cm

Area = [tex]\frac{1}{2} \times\left(b_{1}+b_{2}\right) \times h[/tex]

        [tex]$=\frac{1}{2} \times(6+10) \times 4.4[/tex]

        [tex]$=\frac{1}{2} \times 16 \times 4.4[/tex]

Area = 35.2 cm²

Area of the figure = 28 cm² + 35.2 cm²

                             = 63.2 cm²

The area of the figure is 63.2 cm².

Answer:

Step-by-step explanation:

I'm not sure if this is right, but if your run the same amount I would multiply 1.23×2 which then equals 2.46.

An exterior angle is the sum of the two opposite inside angles:

Angle 3 = 50 + 55 = 105 degrees.

Answer:105

Step-by-step explanation:

EDGE 2020 Its correct

Answer:

The variable, the number of puppies, is modeled by an orange x tile. Giving away 1 puppy is modeled by 1 blue – tile. The expression that represents the situation is x – 1.

Step-by-step explanation: its a simple response

Answer:

Sample Response: The variable, the number of puppies, is modeled by an orange x tile. Giving away 1 puppy is modeled by 1 blue – tile. The expression that represents the situation is x – 1.

Step-by-step explanation:

say thank you please!!!!!!

Answer:

Cardinals, Bulldogs, then Tornado

Step-by-step explanation:

Answer:

16 x 10

160 seconds - 2 min 40 sec

2 min 40 sec + 1 min

3 min 40 sec

Step-by-step explanation:

It's a quadratic with a positive x² coefficient, so a CUP, with a minimum

f(x) = 2x² -12 x + 13

= 2(x² - 6x) + 13

= 2(x - 3)² - 2(9) + 13

f(x) = 2(x - 3)² - 5

Since x-3 is always zero or positive the least value is

f(3) = -5

Answer: -5

Answer:

Not an answer but this is the figure to anyone who's nice enough to help :)

Step-by-step explanation:

so the answer is of option B

Answer:

-23.04 i think

Step-by-step explanation:

Answer:

3:5 (or 3/5)

Step-by-step explanation:

The ratio of area is equal to (ratio of perimeters)^2

That means...

(18:50) = (a:b)^2

This simplifies to:

(9:25) = (a:b)^2

Which means...

3:5 = a:b

Answer: y = x + 1/3

Step-by-step explanation:

Hi, to answer this question we have to write equations with the information given:

The amount of blackberries that each one ate:

Nate (x)= x ounces

Emily ate ⅓ more than that. So, we have to sum the amount eaten by Nate(x) and 1/3.

Mathematically speaking:

Emily (y) = Nate + 1/3  

y = x + 1/3

Feel free to ask for more if needed or if you did not understand something.

Answer:

number 7 is D i believe

Step-by-step explanation:

Answer:

the above images shows the answer to the question

The probability that both Jim and Sue will pass the driving test is 0.42. The probability that only one of them (either Jim or Sue) will pass the driving test is 0.46.

This question falls under probability in Mathematics. To solve for these probabilities, we multiply the individual probabilities together.

a) The probability that both Jim and Sue will pass the driving test is found by multiplying the two probabilities together: 0.7 (Jim's probability) * 0.6 (Sue's probability) = 0.42. So, the probability that both will pass is 0.42.

b) The probability that only one of them will pass the driving test is found by adding the probability of the two independent events: Jim passes and Sue fails, or Sue passes and Jim fails. Jim passing and Sue failing would be 0.7 * (1 - 0.6) = 0.28. Sue passing and Jim failing would be 0.6 * (1 - 0.7) = 0.18. Adding these together, the probability that only one of them will pass is 0.28 + 0.18 = 0.46.

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Answer:

Wouldn't it be 0 because its the most frequent number there

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

there are four 0's but the other's do not have that many.

Answer:

plz give branliest

A

C

E

Are correct

Step-by-step explanation:

so if they are diagonals,

Answer:

I think it's the  third one

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Answer:

b, sinks

c, more dense

e, holds less water vapor

Step-by-step explanation:

hope this helps!!

Answer:

i need branliest

sinks

is more dense than warm air

holds less water vapor than warm air

Step-by-step explanation:

cold air is more dense so it is heavier so it sinks

water vapor is lighter than air, so cold has less of it

Answer:

I'd say around eighty people. Hope that helps.

Step-by-step explanation:

The right circular cone will have a volume of 667.4 cubic inches.

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Volume of a solid is measured in cubic units.

As per the given data:

height of the cone ([tex]h[/tex]) = 15.8 inch

diameter of the base ([tex]d[/tex]) = 12.7 inch

volume of a right circular cone = [tex]\frac13\pi r^2h[/tex]

Where radius ([tex]r[/tex]) = [tex]\frac{d}{2}[/tex] = [tex]\frac{12.7}{2}[/tex] = [tex]6.35[/tex]

volume =  [tex]\frac13\times\pi\times (6.35)^2\times15.8[/tex]

=  [tex]\frac13\times\frac{22}{7}\times (6.35)^2\times15.8[/tex]

= 667.4 cubic inches

The volume of the right circular cone will be 667.4 cubic inches.

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