What is one similarity and one difference between the parent radical and
exponential functions?

Answer:

6 hamburgers.

9 pops.

Step-by-step explanation:

18 divided by 3 = 6

18 divided by 2 = 9

Answer:

6 hamburgers. 9 pops.

Step-by-step explanation:

18 divided by 3 = 6

18 divided by 2 = 9

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:

Slope. y2 – y1 / x2 – x1 = slope.

Step-by-step explanation:

like  for example find the slope of (6,5) (3,6)

remember (x,y)

(x1,y1)(x2,y2)

x1 which is 6

x2 is 3

y1 is 5

y2 is 6

so 6-5/3-6

6-5=1

3-6=3

so slope is rise/run

so rise = 1

run = 3

so the answer would be 1/3

Step-by-step explanation:

Slope, at its core, can be very simple both graphically or mathematically.

Mathematically:

Lets say we have a random straight line that goes through the points (2, 5),     (6, 15), (4, 10), and (20, 50).

Take any two points on that line.

I will use (2, 5) and (4, 10) for the sake of simplicity.

The slope formula is \(\frac{y_2-y_1}{x_2-x_1}\) where point 1 is (x2,y2), and point 2 is (x1, y1).

Thus, the slope is (4-2)/(10-5), or 2/5

The equation that could model the given situation is y = -x + 30.25. The correct option is B. y = -x + 30.25

From the question, we are to determine the equation that could model the given situation

The perimeter, P, of a rectangle is given by the formula,

P = 2(l + w)

Where P is the perimeter

l is the length

and w is the width

From the given information,

The perimeter of a rectangular room is 60.5 feet.

∴ P = 60.5 feet

Also,

x is the width of the room and y is the length of the room

That is,

l = y

and

w = x

Thus,

The equation becomes

60.5 = 2(y + x)

2(y + x) = 60.5

Divide through by 2

y + x = 30.25

y = -x + 30.25

Hence,

y = -x + 30.25 is the equation that might be used to model the circumstance.

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Step-by-step explanation:

area of a circle

A = pi x r^2

r=9

Two hundered five thousand, twenty-eight and one half

Answer: 166 Soft Drinks

Step-by-step explanation:

250 ÷ 1.50 = 166

Answer:

z(43)x(−5−2)y(4−2)

=−602xyz

Step-by-step explanation: HOpe this help , pls mark me as brainlisti

Answer:

Answer below

Step-by-step explanation:

Answer:

Step-by-step explanation: No f(x) is not an inverse of g(x)

The equation of a curve which intersects at right angles every curve of the family y = 1 / x + k is: y = x^3 / 3. The correct option is D.

The given equation:

y = 1/x + k.

And since y’ = –1 / x^2

So, the desired curve satisfies:

y’ = x^2

From the given equation we get:

dy / dx = –1 / x^2

any suitable function would have the negative reciprocal slope, so:

df / dx = x^2 / 1 = x^2

So, f(x) = x^3 / 3

Hence, the equation that intersects at right angles of  y = 1 / x + k is y = x^3 / 3.

Generally, an intersection curve consists of the common points of two transversally intersecting surfaces, which means that at any common point the surface normal are not parallel. This restriction excludes cases in which the surfaces are touching or have surface parts in common.

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This retirement planning scenario involves saving a fixed amount per year, earning a specified interest rate, and determining the final retirement account balance, lump-sum investment amount, annual withdrawal in retirement, and required interest rate for a specific savings goal. The details are as follows:

a. retirement account balance of approximately $536,144.37

b. The lump sum required would be approximately $60,319.79.

c. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d.  It would take approximately 16 years until the savings are depleted.

e. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

a. The retirement account balance on the day of retirement can be calculated by using the formula for the future value of an ordinary annuity. In this case, saving $4,500 per year for 35 years with an annual interest rate of 5.5% will result in a retirement account balance of approximately $536,144.37.

b. To achieve the same retirement savings goal with a lump-sum investment today, the present value of an ordinary annuity formula can be used. The lump sum required would be approximately $60,319.79.

c. Assuming a retirement duration of 17 years and a desire to exhaust the savings with the 17th withdrawal, the annual withdrawal can be calculated using the formula for the annuity payment. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d. If the decision is made to withdraw $90,000 per year in retirement, the number of years until the savings are exhausted can be determined using the formula for the number of periods in an annuity. It would take approximately 16 years until the savings are depleted.

e. If the maximum affordable annual saving is $900 and the goal is to retire with $1,000,000, the required interest rate can be calculated using the formula for the rate of return. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

These calculations provide insights into the financial aspects of retirement planning and can help individuals make informed decisions about their savings, investments, and withdrawal strategies based on their specific goals and constraints.

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The sample proportion of boys born in China cannot be considered a good estimator of the population proportion of boys born worldwide. This is because the sample is biased and not representative of the world population.

The geneticist has only collected data from one country, which means that the sample does not reflect the diversity of the world population. There are many factors that can influence the proportion of boys born in a country, such as cultural and social factors, genetics, and environmental factors.

The proportion of boys born in China may not be representative of other countries. To obtain a good estimator of the population proportion of boys born worldwide, a representative sample from different countries and regions would be necessary.

This would ensure that the sample is diverse and reflects the different factors that influence the proportion of boys born in different parts of the world.

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Answer:252

Step by step explanation:

db

Answer:

Se conoce como abscisa (vocablo derivado del latín abscissa, “cortada”) a una coordenada de dirección horizontal que aparece en un plano cartesiano rectangular y que se expresa como la distancia que existe entre un punto y el eje vertical. El denominado eje de abscisas representa al eje de coordenadas horizontal

Step-by-step explanation:

porque si

The probability of selecting no more than 2 defectives in a sample of 10  a) without replacement is 0.36077 and b) with replacement is 0.14093

a)

Here it is given that the objects are selected without replacement one after the other and the box contains only 20 items

Here we can see that the no. of items i.e the population is finite and the items are selected one after another without replacement.

Hence, this is a case of Hyper-Geometric distribution.

For a Hyper-Geometric distribution

P(X = x) = \(\frac{^{k}C_x X ^{N-k}C_N-x }{^{N}C_n }\)

where,

N = The Population

n = no. of samples selected

k = no. of success.

Here

k = no. of defectives present

= 20% of 20

= 20/100 X 20

= 4

n = 10

N = 20

x = 2

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

Therefore we get

⁴C₀ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₀₎ / ²⁰C₁₀     +     ⁴C₁ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₁₎ / ²⁰C₁₀  +

⁴C₂ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₂₎ / ²⁰C₁₀

= ⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

ᵇCₐ = b!/(b - a)! X a!

Therefore,

⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

= 0.04334 + 0.24768 + 0.06975

= 0.36077

b)

Here the sample is selected with replacement

There are 4 defective and 16 non-defective items

Let A be the event of selecting not more than 2 defectives with replacement

According to the problem, 2 out of 4 defectives are selected while the rest are not defective.

Hence n(A) =  n(getting 0 defective) + n(getting 1 defective) + n_getting 2 defectives)

= 16¹⁰    +    4 X 16⁹   +     4² X 16⁸

= 1443109011456

Similarly, the total no. of ways to choose an item is

n = 20¹⁰

Probability of any event

= no.of favorable outcomes/total no. of outcomes

Hence, P(A) = n(A) / n

= 4² X 16⁸ / 20¹⁰

= 0.14093

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The equation of a plane passing through three points can be found using the point-normal form of the equation for a plane.

First, find two vectors that lie in the plane by subtracting one point from the other two points. Then, take the cross product of these two vectors to find the normal vector to the plane.

Using the normal vector and one of the points, the equation of the plane can be written as:

(ax - x1) + (by - y1) + (cz - z1) = 0

where a, b, and c are the components of the normal vector, and x1, y1, and z1 are the coordinates of the chosen point.

To find the specific values for a, b, c, and the chosen point, substitute the coordinates of the three given points into the equation. Then, solve the resulting system of equations for the variables.

Once the values for a, b, c, and the chosen point are determined, the equation of the plane passing through the three points can be written in point-normal form as described above.

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Answer:

The answer is:

x y

−14 6

0 0

14 −10

Mark as Brainliest!

Answer:

x y

−7 2

0 −2

7 −6

Step-by-step explanation:

Trust me the other guy is wrong i took quiz

Answer:

61.97 feets

Step-by-step explanation:

Using trigonometry :

Horizontal distance between the person and building,

Let distance = d

Tan 15 = 15 / d

0.2679491 * d = 15

d = 15 / 0.2679491

d = 55.980781

To obtain the height, h :

tan 40 = (h-15)/d

d = 55.98

h-15 = 55.98 (tan 40°)

h - 15 = 55.98 * 0.8390996

h - 15 = 46.972797

h = 46.972797 + 15

h = 61.972797

h = 61.97 feets

Answer:

each cd is 14.60

Step-by-step explanation:

45.30-1.50= 43.80

43.80÷3=14.60

Answer:14.30

Step-by-step explanation:

$14.30 per CD and .50 tax per Cd

Answer:

Step-by-step explanation:

Answer:

.899

Step-by-step explanation:

Answer:

1478 is the answer

have a fang-tastic day <3

Step-by-step explanation:

Answer:

1478

Step-by-step explanation:

lol have a good day/night!!

Answer: 33

Step-by-step explanation:

Answer:

-0.13157894736

Step-by-step explanation:

Yhey have infinitely many solutions, since any point on the line satisfies both equations.

Given the system of equation in the question;

y = -2x + 2

2y + 4x = 4

To find the number of solutions, we can solve for y in the first equation and substitute it into the second equation:

y = -2x + 2

Plug y = -2x + 2 into the second equation.

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

Simplify and solve for x.

-4x + 4 + 4x = 4

4 = 4

Since this equation is always true.

Option C) infinitely many solutions is the correct answer.

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to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

Here we have;

Location of island = 15km west

Location of tent = 2 km south of point on shoreline

Running speed of visitor = 8 km/h

Swimming speed = 1 km/h

Distance of island from tent = \(\sqrt{15^2 +2^2}\) = 15.13

Since, time = distance/speed, it will take 15.13/1 hours or 15.13 hours to swim directly to the island.

However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;

15/8 Hr + 2/1 hr = 31/8 hours or 3.875 hours only.

Therefore, to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

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Answer:

1 2/7

Step-by-step explanation:

5/7+3/7+1/7=9/7=1 2/7

Answer:

9 , 1 , - 7

Step-by-step explanation:

Substitute the given values of w into the expression and evaluate

w = - 8 : - 2(- 8) - 7 = 16 - 7 = 9

w = 4 : - 2(4) - 7 = 8 - 7 = 1

w = 0 : - 2(0) - 7 = 0 - 7 = - 7

To indicate that a function is non-decreasing in a specific domain, we need to show that the function's values increase or remain the same as the input values increase within that domain. In other words, if we have two input values, say x₁ and x₂, where x₁ < x₂, then the corresponding function values, f(x₁) and f(x₂), should satisfy the condition f(x₁) ≤ f(x₂).

One common way to demonstrate that a function is non-decreasing is by using the derivative. If the derivative of a function is positive or non-negative within a given domain, it indicates that the function is non-decreasing in that domain. Mathematically, we can write this as f'(x) ≥ 0 for all x in the domain.

The derivative of a function represents its rate of change. When the derivative is positive, it means that the function is increasing. When the derivative is zero, it means the function has a constant value. Therefore, if the derivative is non-negative, it means the function is either increasing or remaining constant, indicating a non-decreasing behavior.

Another approach to proving that a function is non-decreasing is by comparing function values directly. We can select any two points within the domain, and by evaluating the function at those points, we can check if the inequality f(x₁) ≤ f(x₂) holds true. If it does, then we can conclude that the function is non-decreasing in that domain.

In summary, to indicate that a function is non-decreasing in a specific domain, we can use the derivative to show that it is positive or non-negative throughout the domain. Alternatively, we can directly compare function values at different points within the domain to demonstrate that the function's values increase or remain the same as the input values increase.

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1) Point slope form equations are written according to this general formula:

2) Since we've got the slope and one point we can plug them into the formula:

That yields the equation of the line y=4/3x -4 (slope-intercept form). So in Point Slope form, the answer is:

(y-0)=4/3(x-3)