In solving for the inverse function for y = sqrt(3x + 2) - 1 , which of the following represents the first step?

The nth term of the sequence 4/5, 1/5, 1/20. 1/80..... is an = 4/5(1/4)^(n - 1)

The definition of the function is given as

4/5, 1/5, 1/20. 1/80.....

The above definitions imply that we simply multiply 1/4 to the previous term to get the current term

Using the above as a guide, we have

First term, a = 4/5

Ratio, r = 1/4

So, we have the following equation

an = 4/5(1/4)^(n - 1)

Hence, the value of the nth term is an = 4/5(1/4)^(n - 1)

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Answer: 25 times 50 = 1,250 inches every inch is 50 miles on the second map

Step-by-step explanation: hope i could help you

Answer:

(4 * 8y) - (4 * 12)

Step-by-step explanation:

We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"

Therefore :

(4 * 8y)(4 * -12)

Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :

(4 * 8y) - (4 * 12)

Answer:

y = 1/2

Step-by-step explanation:

I hope this helps you with the question

Answer:

Hey there :)

h ( x ) = f [ g ( x ) ]

To find h ' ( x )  

We do → f ' [ g ( x ) ] × g ' ( x )  

This is called the chain rule

Given;

g ( 1 ) = 2  →  f ' ( 2 ) = 5

g ' ( 1 ) = 6

Apply the formula

h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )

          = f ' ( 2 ) × 6

          = 5 × 6

h ' ( 1 ) = 30

If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.

To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by \(\(h'(x) = g'(f(x)) \cdot f'(x)\)\).

Let's use the table of values to find h'(1):

1. f(1) = 3

2. g(f(1)) = g(3) = 2

3. f'(1) = 2

4. g'(f(1)) = g'(3) = 9

Now, we can find h'(1) using the chain rule:

\(\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\]\)

Therefore, the value of h'(1) is 18.

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Its speed is 2.5 km/min

Step - by - Step Explanation

What to find?

Speed of the horse.

Given Parameters:

Distance = 20 km

Time = 8 minutes

The speed of the horse can be calculated using the formula below:

Substitute the values into the formula and simplify.

Hence, its speed is 2.5 km/min

The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.

To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.

The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.

The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].

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Answer:

your just asking the same question over and over again

Step-by-step explanation:

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Here are the steps in factoring the given polynomial.

Disregard -16 because it has already been factored out. Focus on the quadratic equation inside the parenthesis.

1. Find the factors of the constant term -4 that add up to the middle term -3.

a. -1 and 4 → sum is 3

b. -4 and 1 → sum is -3

2. As we can see above, the factors of -4 that add up to -3 are -4 and 1. Hence, the quadratic equation can be factored to:

So, the polynomial expression when factored is f(x) = (-16)(x - 4)(x + 1).

The solutions to the nearest tenth are x = -0.1 and x = 1.3

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

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16

Answer:

The probability of selecting a peach is 8/14, or approximately 0.57.

The probability of not selecting a peach is 6/14, or approximately 0.43.

The total of these two probabilities is 1, because any given selection must either be a peach or not a peach.

The probability of selecting a plum cannot be determined because the number of plums in the bowl is not specified.

The sum of the probabilities of selecting a peach and a plum cannot be determined for the same reason as in 4.

Step-by-step explanation:

Represented in BCD as "0010 0101"

What is binary code decimal pattern?

A binary number is a number that has been stated using the base-2 or binary numeral system, which employs just two symbols, often "0" and "1."

Yes, that's correct! Binary coded decimal (BCD) is a way of representing decimal numbers in a binary format. In BCD, each digit of a decimal number is represented by a unique pattern of four ones and zeros. For example, the decimal number "25" can be represented in BCD as "0010 0101".

BCD is often used in digital systems to represent decimal numbers because it is easy to convert between BCD and decimal representations and because it can be easily manipulated using digital logic circuits. However, BCD has some limitations compared to other binary representations of decimal numbers, such as excess 3 code or binary-coded decimal interchange code (BCDIC).

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9680 smart phones of total 20465 sold smart phones would be made by Apple.

Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.

Here given that in the US 47.3% of smart phones sold are made by Apple.

And in one day 20465 phones are sold.

So,

Out of 100 sold smartphones, 47.3 phones are made by Apple.

then out of 1 sold smartphone 47.3/100 phones are made by Apple.

Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.

Since number of sold smart phone cannot be in decimal number in real, it always a whole number.

Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.

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Answer:

no fred is not correct

Step-by-step explanation:

so u say

5/8×6/1

then u say 5×6=30

then u say 8×1=8

then u say 30÷8= 3.75

so yr answer is =3.75

hope u understand

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

b = 30 km is the answer

Step-by-step explanation:

a = 72 km

b = ?

c = 78 km

According to the Pythagoras theorem,

a² + b² = c²

72² + b² = 78²

5184 + b² = 6084

b² = 6084 - 5184

b² = 900

b = 30 km

∴ b = 30 km is the length of the missing leg

The coordinates of X in the pre-image of the figure is (3.2, 0.6) if the  transformation rule is T_(-5.2, 1.4)(x, y)

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the figure.

The transformation rule is T_(-5.2, 1.4)(x, y)

X'(-2, 2)

Before the transformation:

X = (-2+5.2, 2-1.4)

X = (3.2, 0.6)

Thus, the coordinates of X in the pre-image of the figure is (3.2, 0.6) if the  transformation rule is T_(-5.2, 1.4)(x, y)

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

a. 40С10 * 20С10 / 60С20

b. 1 + (40)(20) + (40C2)(20C2) / 60С20

Step-by-step explanation:

Total number of application = 60

Total number of application from east = 40

Total number of application remaining = 20

Number of ways of selecting 20 applicant = 60C20 (Sample space)

a. Probability of 10 are from East.

= (10 from east) * (10 from remaining)

= 40С10 * 20С10 / 60С20

b. Probability of Not more than 2 are from East.

= P(x≤2)

= P(x=0) + P(X=1) + P(X=2)

= [40С0 * 20С20 / 60С20] + [40С1 * 20С19 / 60С20] + [40С2 * 20С18 / 60С20]

= 1 + (40)(20) + (40C2)(20C2) / 60С20

The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.

Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.

In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.

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Answer:

-18

Step-by-step explanation:

5(-3)+3-6

-15+3-6

-12-6

-18

Answer:

-6

Step-by-step explanation:

plug in the values and then solve with pemdas

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 following are the answer to this question:

Step-by-step explanation:

In the question some data is missing, which is defined in the attached file please find it.

The table for point a:

plot for the Stem-and-leaf:

0             3    4    5     7                                         4

1              2    2    4    4   5   7     7                        7

2             0    3    4     4   5   8                              6

3              3    4    7     9                                        4  

4               1  

In point b:

Its distributed skewed is correct because in its points 1 is a tail on its right side.

please find the attached file.