Can someone help with explanation?

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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The exponential function illustrated as f(x)=50(1.02)^x has a growth rate of 2%.

The exponential function is a mathematical function that is represented by e^x. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

In this case, the function is given as:

f(x)=50(1.02)^x

It should be noted 1 + 2% = 1.02 which us the value in the parentheses.

In conclusion, the growth rate is 2%.

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The solution set of the equation will be x = - 1, or x = - 11.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

To solve the equation x² + 12 x = -11, you can calculate this using the following steps:

x² + 12  x = -11

x² + 12 x + 11 = 0

(x + 1)  (x + 11) = 0

1. x = - 1

2. x = - 11

Therefore, solution set of the equation will be x = - 1, or x = - 11.

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Answer:

n=15, 35/28=15/12

Step-by-step explanation:

28/12=2.33

35/2.33= 15

The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)

Answer:-2,6

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

All of a triangles angles equal 180 degrees. We know that one angle is 48 degrees and 1 angles is 90 degrees. We just have to subtract 138 from 180 to get 42.

Answer:

x = -4 or 2

Step-by-step explanation:

Let the number be x.

x² + 2x = 8

Subtract 8 to both sides

x² + 2x - 8 = 0

Using mid-term break method

=> 4 × -2 = 8 (side-term), 4 - 2 = 2 (mid-term)

So, we can break the mid-term into 4 and -2.

x² + 4x - 2x - 8 = 0

Take common

x(x + 4) - 2(x + 4) = 0

Take (x+4) common

(x+4)(x-2) = 0

Either

x + 4 = 0       OR      x - 2 = 0 (Zero's method)

x = -4            OR       x = 2

\(\rule[225]{225}{2}\)

Examining the function  -9x² + 7x the parabolic curve is opening downwards and the y intercept is 7/9 and 0

The sign of the x2 coefficient determines whether a parabolic curve opens upward or downward in this scenario.

In this function, the coefficient of x2 is a and is -9.

Rising downwards results from a negative coefficient, while opening upwards from a positive coefficient

The intercept of y

-9x² + 7x = 0

x(-9x + 7) = 0

x = 0

-9x + 7 = 0

-9x = -7

x = 7/9

Therfore, Examining the function  -9x² + 7x ,  0 and 7/9 is the y intercept.

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Answer:

\(5 \frac{5}{6} \)

Step-by-step explanation:

\(3 \frac{1}{2} \times 1 \frac{2}{3} \\ = 5 \ \frac{5}{6} \)

Convert the fractions to improper fractions.

3 1/2 = 7/2

1 2/3 = 5/3

7x5=35

2x3=6

35/6 or 5 5/6

---

hope it helps

Answer:

4

Step-by-step explanation:

-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8

EXPLANATION:

The first thing to do is graph the given points of the equation to find the position of the angles.

A=(3X+13)

B=(5X+9)

Both equations to find the angle z should give me a total of 180 degrees

By adding and joining both equations, we have the following:

Now plugging the value of x into the first equation to find the angle A gives us:

To check if the measure of angle A is correct, we must also replace x in the second equation to find the value of angle B, which has to give us exactly what is missing to complete the 180 degrees.

Answer:

20 to 70 songs as a percent increase is 250%

Step-by-step explanation:

The old number (x, and in this case, 20) is subtracted by the new number (y, 70). The difference of x-y is divided by x (20). The quadrant is multiplied by 100, giving you the answer (250%).

Answer:

the answer would be c=81x^28-n I hope it helps!

Answer:

c=81x^28-n

Step-by-step explanation:

\(c=81x^{28-n}\)

Answer:

30g of Sugar

Step-by-step explanation:

200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)

40g of sugar in the sugar water, 10 g taken. 40-10=30

Hope this helps!

:)

A constant function is a function that returns the same output every time it is called, regardless of the input. In this case, we want to create a constant function that returns an infinite list of all the natural numbers starting at 0.

Here's an example of how you could implement the nats function in Haskell:

makefile

Copy code

nats :: [Integer]

nats = [0..]

The [0..] syntax creates an infinite list that starts with 0 and continues indefinitely. Every time the nats function is called, it returns this same infinite list, so it's considered a constant function.

Another way to write the nats function is to use the iterate function, which generates a list by repeatedly applying a function to an initial value.

makefile

Copy code

nats :: [Integer]

nats = iterate (+1) 0

In this case, iterate (+1) 0 generates a list by repeatedly adding 1 to 0. The first element of the list is 0, the second element is 0 + 1 = 1, the third element is 1 + 1 = 2, and so on. This generates an infinite list of all the natural numbers starting at 0, which is exactly what we want.

In either case, you can take any number of elements from the nats list by using the take function. For example, take 5 nats would return the first 5 elements of the nats list, which would be [0, 1, 2, 3, 4].

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Answer:

14÷2=7

7 is your answer. hope this helps

Ashley and her sister decide to split the cost of dinner , which is $14 . How much will each sister pay?

$7

look at the attached picture :)

Answer:

the answer of the value of ten is 10000

Step-by-step explanation:

Answer:

Well the answer to the line is 55,000

Step-by-step explanation:

Not sure how to explain this. But if you count over to ones tens hundreds thousands and then ten thousands you should be at 55,000.

Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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the series is conditionally convergent.
Part 1:

a. By the limit comparison test, let b_n = 1/n^2. Then, taking the limit of a_n/b_n as n approaches infinity gives:

lim (n->inf) a_n/b_n = lim (n->inf) (n^2)/(3^n) = 0

Since the limit is finite and nonzero, both series either converge or diverge together. Since the series b_n converges, the series a_n also converges.

b. By the divergence test, if the limit of a_n as n approaches infinity does not equal zero, then the series diverges. Here, lim (n->inf) a_n = 1, which is not equal to zero. Therefore, the series diverges.

Part 2:

a. Since the series a_n converges by the limit comparison test, it is absolutely convergent by definition.

b. The series a_n converges by the alternating series test because it is ultimately decreasing and the limit of the absolute value of a_n as n approaches infinity is zero.

c. The series diverges by the divergence test since the limit of a_n as n approaches infinity does not equal zero.

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The statement that describes the end behavior of the graph f(x) = -4x³ + 28x² + 32x + 64.

The graph increases to left and decreases to right.

The end behavior of a polynomial function is given by the limits of the function as x approaches infinity, meaning that only the term with the highest exponent is considered for the calculation of the limit.

In this problem, the function is defined as follows:

f(x) = -4x³ + 28x² + 32x + 64.

Considering only the highest exponent, we have that:

f(x) = -4x³.

Hence the behavior of the graph of the function at the left tail is given as follows:

lim x -> -∞ f(x) = -4(-∞)³ = -4 x (-∞) = ∞.

(increases to the left).

At the right tail, the behavior is given as follows:

lim x -> ∞ f(x) = -4 x (∞)³ = -4 x (∞) = -∞.

(decreases to right).

The problem is incomplete, hence we suppose that it asks for us to describe the end behavior of the graph.

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Answer:b

Step-by-step explanation:

The binomial (x+5) is not a factor of f(x) = x³ + 4x² + 7x + 6 because the quotient has a remainder of 0

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

Prove that (x+5) is not a factor of f(x) = x³ + 4x² + 7x + 6

This means that

Divisor = x + 5

Dividend = f(x) = x³ + 4x² + 7x + 6

Using the synthetic division, we have the following setup

-3 |    1     4    7     6

Bring down the first factor

-3 |    1     4    7     6

         1

Multiply by -3

-3 |    1     4    7     6

              -3

         1    

Repeat the above steps as follows

So, we have

-3 |    1     4    7     6

              -3   -3   -12

         1     1    4     -6

The last number represents the remainder of the division

This means that

Remainder = -6

A remainder not equal to 0 means that the divisor is not a factor

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Answer:

m= =3/2

Step-by-step explanation:

(9,4) (7,7)

m= y2-y1/x2-x1

m=7-4/7-9

=3/-2

=-3/2

Answer:

8.075 original, rounded 8.01

Step-by-step explanation:

8.5%=0.085 x 95 = 8.075 or 8.01 rounded

Answer:

3 scoops of flour

Step-by-step explanation:

Three scoops of flour because 24/2 is 12 so for every 12 cookies she needs 1 scoop of flour. With this information we can get 3 scoops as our answer. I hope this helps!