Cory graphed y = 100 - 50x x to represent the percentage of battery life
remaining on his phone after x hours.
What is a reasonable domain for this situation?
Percentage of battery life remaining
A. 0≤x≤ 100
Remaining Battery Life
100
Time (hours)
hr

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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Answer:

55

Step-by-step explanation:

plug in the numbers to the equation

7(5)+5(4)=55

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

the slope is -3/0, which is undefined

Step-by-step explanation:

subtract the ys and subtract the xs and put y/x

anything divided by 0 is a math error (not to b confused with 0 divided by, which is just 0)

Hope this helps :)

Answer:

sin(3x) = sin(x + 2x)

          = sinx cos(2x) + cosx sin(2x)

          = sinx [1 - 2sin2x] + cosx [2sinxcosx]

          = sinx - 2sin3x + 2cos2xsinx

Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

Answer:

There is a negative relationship between the price of a good or service and the quantity producers will supply.

Step-by-step explanation:

Answer  :      x= \(\sqrt{2wy}\)/ y

Step-by-step explanation:

Answer:

If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.

hope it helps!!!!! :]

Answer:

y = 3x - 2

Step-by-step explanation:

y = mx + c

m = slope and c = y intercept

finding y intercept

The y intercept is the point where the line passes the y axis

Here, by looking at the graph, we can say that the y intercept is at (0,-2)

This means the y intercept (c) = -2

finding slope

Using the slope formula (y2-y1)/(x2-x1)

Where (x1,y1) and (x2,y2) are from any points on the line

The points chosen may vary however I have chosen (0,-2) and (1,1)

So we have (x1,y1) = (0,-2) meaning x1 = 0 and y1 = -2 and we have (x2,y2) = (1,1) meaning that x2 = 1 and y2 = 1

We now plug these values into the formula

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

==> plug in x1 = 0 , y1 = -2 , x2 = 1 and y2 = 1

Slope(m) = (1 - (-2) / (1 - 0)

==> remove parenthesis

Slope(m) = (1 + 2) / (1 - 0)

==> simplify addition and subtraction

Slope(m) = 3

Creating the equation

Now we plug in the values of m and c

Again we have y = mx + c

m = 3 and c = -2

y = 3x - 2

Answer:

  (d)  yes; -7

Step-by-step explanation:

The differences between terms are ...

  12 -19 = -7

  5 -12 = -7

  -2 -5 = -7

These are all the same, so this difference is "common". A sequence in which terms have a common difference is an arithmetic sequence.

This sequence is arithmetic, with a common difference of -7.

Answer:

  3x(x+5)(x-2)

Step-by-step explanation:

You want the complete factorization of 3x^3 + 9x^2 - 30x after first removing the greatest common factor.

The greatest common factor will be the lowest powers of the factors that are common to the three terms:

  3·x³

  3²·x²

  2·3·5·x

The common factors are 3 and x. Their lowest powers are 1, so the GCF is 3x.

After factoring out 3x, we have a quadratic factor:

  = 3x(x² +3x -10)

To factor this, we look for factors of -10 that have a sum of +3. Those are -2 and +5. This tells us the complete factorization is ...

  = 3x(x -2)(x +5)

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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Answer:

20

Step-by-step explanation:

2(5)+10=20

\(\huge \colorbox{pink}{Mathematics}\)

2x + 10 when x = 5

\(2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20\)

Correct me if I'm wrong

I hope it helps ^_^

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.

Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.

For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at

time t = 3.2 + (0.5 x t)

where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.

Once we have these values, we can rearrange the formula to solve for

k:k = rate of increase / original value

For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:

k = 0.5 / 3.2k = 0.15625

To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:

Mass at time t = 3.2 + (0.15625 x 8)

Mass at time t = 4.5 kg

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Answer:

2,7

Step-by-step explanation:

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

625 sq ft.

Step-by-step explanation:

25 cm is close to 25.3 so our estimate is 25 * 25 = 625.

Answer:

36 players

Step-by-step explanation:

Total players = 48

Group 1 : Group 2

1:3

For Group 1:

=48X3÷4

=12

For Group 2:

=48X3÷4

=36

Group 1 players+Group 2 players=48 players

12+36=48

Answer:

K = 1

Step-by-step explanation:

K + 2 = 3

K = 3 -2

K = 1

Answer:

K=2

Step-by-step explanation:

K+4 / 2 = 3

If you input 2 into the equation you get 3.

2+4=6

6/2 = 3

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.

Answer: It is Skewed

Step-by-step explanation: More positive space than negative. So it is positively skewed.

Answer:

C = 6.28

A = 3.14

Step-by-step explanation:

use the equations for area and circumference to solve

C = pi d

A = pi r^2

I like to remember these using the saying Cherry pie's delicious, Apple pie's are too so Cherry = pi's delicious, Apple = pi's r 2

so with the diameter of 2 plug in to get circumference

C = 3.14 (2)

C = 6.28

and the equation for area uses radius not diameter but we know that d/2=r so radius is 1, plug in to solve

A = 3.14 (1)^2

A = 3.14 (1)

A = 3.14

Hope this helps! :)