h(x) = (gof)(x) =1/(x+3) ²

Let
Which of the following could be a possible decomposition of h(x)?

Answer:

From top to bottom

9

27/2

108/6

135/3

Step-by-step explanation:

Find how much is in 1 hour (unit rate)

Do 9/2 x 3=27/2

27/2 x 2/3=54/6=9

4/3 x 27/2= 108/6

Notice how all are solved with the unit rate

The area of the Rhombus ABCD is 1.2 square meter.

What is Rhombus?

A quadrilateral with four equal-length sides is known as a Rhombus in plane Euclidean geometry. Another name for this shape is an equilateral quadrilateral because all of its sides are equal in length.

Let ABCD be the given Rhombus of Perimeter = 52 cm.

Since all the sides are equal to each other.

Therefore, each side of Rhombus measures = 13 cm

So,

AD = CD = 13 cm and AC = 24 cm.

Area of the triangle ACD = √[ s (s - a) (s - c) (s - d) ] ….. Heron’s Formula.

where s = semi-perimeter,

a, c, and d are side measures.

s = (1/2) [ 13 + 13 + 24 ] = 25

Area (A) = √[ 25 (25 – 13) (25 – 13) (25 - 24) ] = 60

Hence Area of the entire Rhombus = 2 * 60 = 120 cm²

Convert 120 cm^2 into meter square

⇒ 120 cm^2 = 1.2 m^2

Hence, the area of the Rhombus ABCD is 1.2 square meter.

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Answer:

See below

Step-by-step explanation:

Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)

Answer: 7e-5 millimeters, and the nanometer scale is more appropriate

Step-by-step explanation: PLEASE MARK ME BRAINLIEST!!!!!!

-divide the length value by 1e+6

-The millimeter scale and the centimeter scale are two huge, while the nanometer scale is too small. The nanometer scale is often used to measure atoms and viruses.

Answer:

a) The length of the virus in millimetres is 0.000 07 mm.

b) Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Step-by-step explanation:

SI is the abbreviation for The International System of Units.

The SI base unit for length is metres (m).

Milli and nano are SI prefixes used to form decimal multiples or submultiples of SI units.

Therefore, to convert nanometres to millimetres, multiply the nanometres by 10⁻⁶:

So 70 nanometres is:

Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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The distance of the shortest path in miles using the nearest neighbor technique can be found by applying the following steps:
1. Start at the bakery and find the nearest market.
2. Move to that market and find the nearest market from there.
3. Repeat step 2 until all markets have been visited once.
4. Find the distance from the last market back to the bakery.
5. Add up all the distances to get the total distance of the shortest path.

It is important to note that the nearest neighbor technique does not always guarantee the shortest possible path, but it is a simple and efficient way to find a relatively short path. The distance of the shortest path will depend on the specific locations of the bakery and markets, so it is difficult to provide an exact answer without more information. However, by applying the nearest neighbor technique as described above, you can find the distance of the shortest path for your specific scenario.

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Step-by-step explanation:

Exponential growth means that there is a growth and on a graph the line would be going on a slight slope up and then go on a higher slope angle and so on (image shown below)

Exponential decline is the opposite of growth where the decline becomes bigger and bigger

(image shown below)

Linear is where there is no change in increase or decrease (image shown below)

Answer:

D. y-9 = 2(x-1) (This is wrong dont use lol)

Answer:

C is your correct answer.

Step-by-step explanation:

Point Slope Formula:

y - y1 = m(x -x1)

Your Coordinate Points: (-2, 3) and (1,9)

The first "y" is 3 so the y1 should be 3.

The First "x" is -2 which is what x1 should be.

**But -x1 and -2 have to be + because negative and negative should cancel out and become an addition problem.

Point Slope Form Right Now:

y - 3 = m ( x + 2)

We're missing the "m" which is the slope.

Here's the specific formula:

y2 - y1/ x2 - x1

The "y2" is 9

The "y1" is 3

The "x2" is 1

The "x1" is -2

Now, do 9-3 over 1- (-2)

9-3 = 6 and 1-(-2) = 3

6/3 should be the answer for slope but it needs to be simplified

So, do 6 divided by 3 which is 2.

2 is your slope.

Plug it in and finalize!!

y - 3 = 2 ( x + 2)    

**The answer is C but the writing of the answer choice is wrong.

Answer:

Step-by-step explanation:

\(5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)\)

Answer:

Step-by-step explanation:

Answer: 15x−35+20y

Step-by-step explanation:

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:

8/35

Step-by-step explanation:

area = length x width

area = 2/5 cm x 4/7 cm

area= 8/35 cm

Answer:

I think it would be 8/35.

hoped it helped

Answer: k = √27-i

Step-by-step explanation:

Answer:  -3

please please mark as brainliest

Answer:

5/2

Step-by-step explanation:

We can use the slope formula

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

A  has points ( -2,0) and (0,5) as points on the line

m = ( 5-0)/( 0 - -2)

     ( 5-0)/( 0 +2)

  = 5/2

The lines B and C are parallel so they have the same slope 5/2

Answer:

8595

Step-by-step explanation:

This question can be solved in 2 ways

1. the same number of bottles were sold for 3 days. So, the number of bottles sold  can be multiplied by 3

2,865 x 3 = 8595

2. the bottles sold on Friday, Saturday and Sunday are added together

2,865 + 2,865 + 2,865 =  8595

The sum of all possible x-coordinates that satisfy the given conditions is 666.

Let's consider two triangles, Triangle A and Triangle B, with areas A and B, respectively. The base of Triangle A is x units long, and its height is y units. Triangle B has a base of y units and a height of x units.

The area of a triangle is given by the formula A = (1/2) * base * height. Therefore, the area of Triangle A is A = (1/2) * x * y, and the area of Triangle B is B = (1/2) * y * x. Since multiplication is commutative, we can simplify the expressions as A = B = (1/2) * x * y.

We are given that A + B = 108. Substituting the values of A and B, we get (1/2) * x * y + (1/2) * x * y = 108. Simplifying the equation, we have x * y + x * y = 216, which further simplifies to 2 * x * y = 216.

To find the sum of all possible x-coordinates, we need to consider the factors of 216. The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216. Since x * y = 216/2 = 108, we can deduce that for each factor of 216, there is a corresponding value of y that satisfies the equation.

The sum of all possible x-coordinates would be the sum of all the factors of 216, which is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 108 + 216 = 666.

In summary, the sum of all possible x-coordinates that satisfy the given conditions is 666.

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Yes.

The data are from a random sample, meeting the Randomization Condition.

The data have at least 10 successes and 10 failures, meeting the Success/Failure Condition.

The population is much larger than the sample, meeting the 10% Condition. A

It is reasonable for the research team to use a Normal model for the sampling distribution of the sample proportion.

A Normal model for the sampling distribution of a sample proportion, three conditions must be met:

The Randomization Condition, the Success/Failure Condition, and the 10% Condition.

The Randomization Condition is met as the sample is selected randomly from a much larger population of adults.

The Success/Failure Condition is also met because the sample size is large enough (n = 1900) for us to expect at least 10 successes (those who are pessimistic about the future of marriage and family) and 10 failures (those who are optimistic about the future of marriage and family).

The sample proportion of pessimistic adults is 34%, which corresponds to 646 successes in the sample.

The 10% Condition is also met as the sample size (n = 1900) is less than 10% of the total population of adults.

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The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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Answer:

-4 - 52 i

Step-by-step explanation:

Hope this helps :)

Answer:

----------------

Use triangle sum theorem:

Equation 1:

Equation 2, find m∠D

According to property of isosceles triangle, we know that:

and

Substitute these into equation 2:

Substitute this into equation 1 and find the value of x:

The solution to the system of equations is:

x1 = (-1542/171) + (179/57)x3

x2 = (-481/171) - (38/171)x3

x3 is free

x4 = (23/57)x3 - (8/57)

(a) The augmented matrix of the system is:

[  0  -3  -6   4 |  9 ]

[ -1  -2  -1   3 |  1 ]

[ -2  -3   0   3 | -1 ]

[  1   4   5  -9 | -7 ]

Using row operations, we can find its row-reduced echelon form (RREF):

[ 1  4    5    -9 | -7 ]

[ 0 -3   -6     4 |  9 ]

[ 0  0 23/3 -19/3 |  8 ]

[ 0  0    0     0 |  0 ]

(b) From the RREF, we have the following system of equations:

x1 + 4x2 + 5x3 - 9x4 = -7

-3x2 - 6x3 + 4x4 = 9

(23/3)x3 - (19/3)x4 = 8

Solving for x4 in terms of x3, we get x4 = (23/57)x3 - (8/57).

Substituting this into the equation for x2, we get -3x2 - 6x3 + 4[(23/57)x3 - (8/57)] = 9, which simplifies to -171x2 - 342x3 + 92x3 - 32 = 513.

So, x2 = (-481/171) - (38/171)x3.

Finally, substituting x4 and x2 into the equation for x1, we get:

x1 = -1 - 4(-481/171 - (38/171)x3) - 5x3 + 9[(23/57)x3 - (8/57)]

  = (-1542/171) + (179/57)x3

Therefore, the solution to the system of equations is:

x1 = (-1542/171) + (179/57)x3

x2 = (-481/171) - (38/171)x3

x3 is free

x4 = (23/57)x3 - (8/57)

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Answer:

Second choice
∠BCA ≅ ∠DCA

Step-by-step explanation:

This logically follows from the fact that both ∠BCA and ∠DCA are right angles from the previous step. And the reason given is "All right angles are ≅)

So they are congruent

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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1.5 half lives times 5730 years per half life is 6590 years.

Fraction:  A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Fraction still left equals 0.5n, where n is the total number of half lives that have already passed.

Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,

n = log 0.5 + log 0.45

-0.347 = -0.301n

Half lives for n = 1.15 have passed.

1.5 half lives times 5730 years per half life is 6590 years.

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6590 years are equal to 1.5 half lives times 5730 years per half life.

What does "fraction" mean?

A fraction is a number that is expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Where n is the total number of half lives that have already occurred, the fraction of time left is equal to 0.5n.

Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,

n = log 0.5 + log 0.45

-0.347 = -0.301n

Half lives for n = 1.15 have passed.

1.5 half lives times 5730 years per half life is 6590 years.

Answer:

C

Step-by-step explanation:

Answer:

c is right answer... I am sure

Answer:

1/4

Step-by-step explanation:

Answer:

15/60 simplified equals:

1/4

Step-by-step explanation:

In the fraction 15/60, 15 is the numerator and 60 is the denominator.

When you ask "What is 15/60 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 15 and 60, which is 15.

Then, we divide both 15 and 60 by the greatest common factor to get the following simplified fraction:

1/4

Answer:

Rotation does not change lengths.