If f(x)=2x and g(x) = x+5 then (fg)(x)=

The box's CA measures 4.7 cm in length.

Given data;

△ABC has a right angle at C, BC = 9.2 centimeters, and ∠A=63°

To know CA;

Let CA = x

As per the given case,

In a triangle sum of angles = 180°

90° + 63° + C = 180°

C = 27°

Now,

From the △ABC;

tan 63° = 9.2/x

x = 9.2/tan 63°

x = 4.687

x = 4.7

Therefore, the length of CA in the box is 4.7 cm

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

To graph sinusoidal functions, we need to consider the amplitude, period, key points, and transformations. Here's an example of each with the steps and a graph,

Graph y = 2sin(x)

Amplitude, The amplitude is the absolute value of the coefficient of the sine function, which is 2 in this case.

Period, The period of a sine function is given by 2π divided by the coefficient of x, which is 1 in this case.

Key Points: Identify key points by dividing the period into equal intervals and evaluating the function at those points.

Graph the function using the amplitude, period, and key points.

Example Graph, [Include a graph showing the sinusoidal curve with the appropriate amplitude, period, and key points.]

Graph y = 3cos(2x - π/4)

Amplitude, The amplitude is the absolute value of the coefficient of the cosine function, which is 3 in this case.

Period, The period of a cosine function is given by 2π divided by the coefficient of x, which is 2 in this case.

Key Points, Identify key points by dividing the period into equal intervals and evaluating the function at those points. Take into account any phase shifts or vertical shifts.

Graph the function using the amplitude, period, and key points.

Example Graph, [Include a graph showing the sinusoidal curve with the appropriate amplitude, period, key points, and transformations.]

When graphing sinusoidal functions, the amplitude determines the vertical stretching or compressing of the graph. The period determines the horizontal stretching or compressing of the graph. The key points help in plotting the shape of the graph and include the maximum and minimum points, as well as the x-intercepts. Transformations such as phase shifts and vertical shifts can further modify the graph.

By understanding the concepts of amplitude, period, key points, and transformations, we can accurately sketch the graph of a sinusoidal function. Identifying these characteristics and applying the appropriate transformations allows us to visualize the behavior of the function and analyze its properties.

Exploring the concepts of amplitude, period, key points, and transformations in depth will provide a solid foundation for understanding trigonometric functions, waveforms, and periodic phenomena. Practicing graphing different examples will enhance your skills in representing and interpreting sinusoidal functions in various contexts.

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Answer:

\(g \: y = 2x - 3 \\ \)

if you insert x and y values in equation you can find the exact equation

Based on the ratio provided, maximum number of cups of salad dressing that can be made are 16 cups (Option E)

Based on the provided information, oil, vinegar, and water are mixed in the ratio of 3:2:1 to make salad dressing. In order to make salad dressing, 3 portion oil, 2 portion vinegar, and 1 portion water is used i.e., 3:2:1. Hence, for n number of cups, the ratio is 3n:2n:1n. Which means that when n = 1, the number of cups of dressing would be 3 + 2 + 1 = 6cups.

When Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, the maximum portion of oil that can be used is 8/3 and of vinegar that can be used is 7/2. Hence the limiting factor would be oil here. Hence the value of n would be taken as 8/3 for each ingredient. Therefore, 8+16/3+8/3 = 48/3 = 16. Hence the maximum number of cups that can be made is 16 cups.

Note: The question is incomplete. The complete question is Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make a salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible? A) 12 B) 13 C) 14 D) 15 E) 16.

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Answer:

D

Step-by-step explanation:

Flip a^-n to the top to make it a^n. The zero exponent law says that anything to the power of 0 is equal to 1. Anything divided by 1 is equal to itself. Therefore: a^nx^n

Hope that helps

Answer:

The answer is d because x^n is evaluted to 30

Step-by-step explanation:

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

tan(51°) = \(\frac{h}{8}\)

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

In the given scenario, where there is a positive correlation between the number of mailboxes and the number of traffic lights in a town, the most likely lurking variable that explains the correlation is the town's population size or density.

The lurking variable in this case refers to a variable that is not directly measured or observed but can influence or explain the relationship between the variables of interest. In this situation, it is reasonable to assume that the population size or density of a town could be the lurking variable that is driving the correlation between the number of mailboxes and the number of traffic lights.

A larger or denser population in a town would generally lead to increased residential areas, resulting in a greater need for mailboxes. Additionally, a higher population density often corresponds to increased traffic congestion and safety concerns, necessitating the installation of more traffic lights.

While the number of mailboxes and traffic lights are directly correlated, it is likely that the underlying factor influencing both variables is the population size or density of the town.

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we have that

The rule of the reflection over the line y=-x

is giving by

(x,y) -------> (-y,-x)

we have the coordinates

(0,0)

(7,-3)

(-1,-4)

Apply the rule of reflection

(0,0) ------- (0,0)

(7,-3) -----> (3, -7)

(-1,-4) ----> (4,1)

therefore

the answer is

?=3

the coordinates of triangle are

(0,0)

(7,-3)

(-1,-4)

you must apply the rule of reflection at each coordinate

(0,0) ------- (0,0)

(7,-3) -----> (3, -7)

(-1,-4) ----> (4,1)

The question ask for the number where the sign ? is

In this location there is the number 3

The expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z').

(a) To expand the function f = y'x + x'z with respect to x, we use the distributive property and apply De Morgan's law to simplify the expression:

f = y'x + x'z

  = x'y + x'z

  = (x'y)'(x'z)'    [Using De Morgan's law]

  = (x + y')(x + z')   [Using De Morgan's law again]

(b) Designing the function using a 2-to-1 multiplexer for the case of expanding f with respect to x involves using the inputs x, y, and z as the select lines of the multiplexer. The inputs x + y' and x + z' will be connected to the data inputs of the multiplexer, and the output of the multiplexer will be the expanded function f.

(c) Similarly, for expanding f with respect to y, the expansion is:

f = y'x + x'z

  = xy' + x'z

  = (xy')'(x'z)'    [Using De Morgan's law]

  = (x' + y)(x + z')   [Using De Morgan's law again]

For this case, the inputs x', y, and z will serve as the select lines of the 2-to-1 multiplexer. The inputs x' + y and x + z' will be connected to the data inputs, and the output of the multiplexer will represent the expanded function f.

In both cases, the 2-to-1 multiplexer is used to implement the logic function by selecting the appropriate data inputs based on the select lines, which are derived from the expansion of the function with respect to the corresponding variable.

In conclusion, the expansion of the function f = y'x + x'z with respect to x yields (x + y')(x + z'), and the expansion with respect to y gives (x' + y)(x + z'). By utilizing 2-to-1 multiplexers, the expanded functions can be designed by connecting the appropriate data inputs to the multiplexer based on the select lines derived from the expansions. This allows for the implementation of the logic functions using multiplexers, providing a compact and efficient circuit design.

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Answer:

Yes it is congruent by HL

Two processes are ,independent assortment and crossing over or recombination.

independent assortment

Independent assortment is the process where the chromosomes move randomly to separate poles during meiosis. A gamete will end up with 23 chromosomes after meiosis, but independent assortment means that each gamete will have 1 of many different combinations of chromosomes.

Crossing over or Recombination

Crossing over is a cellular process that happens during meiosis when chromosomes of the same type are lined up.

It refers to the exchange of genetic material between non-sister chromatids of homologous chromosomes. It occurs at the pachytene stage of prophase 1 in meiosis 1. It is the event that leads to recombination.

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Answer:

I think the answer is 20

Answer:

-44

Step-by-step explanation:

Using distribute property of multiplication

=> \(7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}\)

(\(7\sqrt{5}\) will be cancelled with each other)

=> 5 - 49

=> -44

Answer:

D

Step-by-step explanation:

If the bulk density of the potting soil is 0.0018 pound per square inch, it suggests that the soil is suitable for root growth, and the plant should grow well in it assuming all other factors are favorable.

To determine how well a plant will grow in a soil with a desired bulk density of 0.0018 pound per square inch, the soil scientist needs to compare the bulk density of the potting soil to this desired value.

1. First, the soil scientist needs to measure the weight of the soil sample. This can be done using a scale or balance.

2. Next, the soil scientist needs to measure the volume of the soil sample. This can be done by using a graduated cylinder or a displacement method.

3. Once the weight and volume of the soil sample are known, the bulk density can be calculated by dividing the weight of the soil sample by its volume.

4. If the calculated bulk density matches the desired value of 0.0018 pound per square inch, it indicates that the soil is suitable for root growth.

5. A lower bulk density indicates that the soil is lighter and provides more space for roots to grow and spread, leading to better plant growth.

6. On the other hand, a higher bulk density indicates that the soil is denser and may restrict root growth and nutrient uptake, resulting in poorer plant growth.

Therefore, if the bulk density of the potting soil is 0.0018 pound per square inch, it suggests that the soil is suitable for root growth, and the plant should grow well in it assuming all other factors are favorable.

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B. It is the amount of three-dimensional space inside the solid.

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.

It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.

In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.

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Answer:

Below in bold.

Step-by-step explanation:

Surface area

= 2pi r h + 2 pi r^2

=  2 * 3.14 * 12 +  2* 3.14 * 2^2

= 100.48.

The actual answer is 5z(x +2y) the other guy is wrong

Answer:

Linear

Step-by-step explanation:

Answer:

Not a function  

Step-by-step explanation:

wdym it is D not a function

The components of the displacement gradient tensor (∇u), linear strain tensor (∇ε), strain components at point P(2l, 2a, 2a), strain along direction n = [1, 1, 1]⁺, and shear strains along directions n1 = [3, -4, 0]⁺ and n2 = [4, 3, 0]⁺ at point P can be determined using the given expressions and coordinates.

The components of the displacement gradient tensor (∇u) can be found by taking the partial derivatives of the displacement vector (u) with respect to the coordinate variables (x, y, z):

(∂u/∂x) = (2A/1) {a^2X2 + (X1^2 - X1)X2 - (X3^2 + X2X3)}

(∂u/∂y) = (2A/1) {a^2X1 + (X1^2 - 1)X2 - (X1^3 + X2X3)}

(∂u/∂z) = (2A/1) {(1 - X1)X2X3}

The components of the linear strain tensor (∇ε) can be obtained from the components of the displacement gradient tensor (∇u) using the formula:

(∂εij/∂xi) = (1/2) * [(∂u_j/∂xi) + (∂u_i/∂xj)]

To evaluate the strain components at point P(2l, 2a, 2a), substitute these coordinates into the expressions derived in step 2.

To find the strain along the direction n = [1, 1, 1]⁺, calculate the dot product of n with the strain tensor (∇ε):

Strain along n = n · ∇ε · n = ε11 + ε22 + ε33

To find the shear strain associated with the directions n1 = [3, -4, 0]⁺ and n2 = [4, 3, 0]⁺ at point P, calculate the dot product of n1 and n2 with the shear strain tensor (∇γ):

Shear strain along n1 = n1 · ∇γ · n1 = γ11 + γ22 + 2γ12

Shear strain along n2 = n2 · ∇γ · n2 = γ11 + γ22 + 2γ12

Evaluate the expressions using the derived components from step 2 at point P to find the desired strain values.

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A right triangle ABC is formed when we join three points around a lake. Length of the side AC = 6 miles. Length of the side BC = 2 miles. We have to find Length of side AB.Using Pythagorean theorem for Right triangle ABC , Right angled at B→AB² + BC²= AC²→ AB² + 2²= 6²→ AB² = 36 - 4→ AB²= 32→ AB = √ 32→→AB = 5.66 (approx)Option (B) AB = 5.66 is Right choice.

Answer:

AB+ BC^2= AC

AB^2+ 2^2= 6^2

AB^2 = 36 - 4

AB^2= 32

AB = sqrt 32

AB = 5.66 (approx)

Option (B) AB = 5.66 is Right choice.

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

Given,

\(3x - 2y = 5\)

\(xy = - 2\)

Now,

\((3x - 2y) {}^{2} = (5) {}^{2} \\ \)

Use the algebraic identity ⇻ (a - b)² = a² - 2ab + b²

\((3x - 2y) {}^{2} = (5) {}^{2} \\ 3x {}^{2} - 2 \times 3x \times 2y + 2y {}^{2} = 5 {}^{2} \\ 9 {x}^{2} - 12xy + 4y {}^{2} = 25 \\9x {}^{2} + 4y {}^{2} = 25 + 12xy \\ 9x {}^{2} + 4 {y}^{2} - 1 = 24 + 12xy\)

✐ So, the value of 9x² + 4y² - 1 is 24 + 12xy

Now,

xy = - 2

So, 12xy = 12 × - 2 = - 24

•°• 24 + 12xy

= 24 + (-24)

= 24 - 24

= 0

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

No triangles: angle 30°,85°,60° and sides 2,8,10

One triangle: sides 7,24,25

many triangles: angle 5°,15°,160° and angle 45°, 45°, 90°

A triangle is a geometric shape that is formed by connecting three points in a plane with straight lines. It has three sides, three angles, and three vertices (or corners). The sum of the angles in a triangle is always 180 degrees. Triangles are classified based on the lengths of their sides and the measures of their angles.

Sum of angles should not be equal to 180°

Sum of two sides of triangle is not always greater than third side.

30°+85°+60°=175°<180°

Hence, this angle do not form triangle

2+8=10

Hence, this sides do not form triangles.

Sum of two sides of triangle is always greater than third side.

7+24>25

Hence, this sides do not form triangles.

Sum of angles should be equal to 180°

5°+15°+160°=180°

Hence, this angle  form triangle

45°+45°+90°=180°

Hence, this angle  form triangle.

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The complete question is:

Image is attached below.

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

Danny owns 15 shirts.

Step-by-step explanation:

We know

Danny has 6 orange-colored shirts; this is 40% of the shirt he owns.

How many shirts does Danny own?

We Take

(6 ÷ 40) x 100 = 15 shirts

So, Danny owns 15 shirts.

Answer:  15 shirts

Step-by-step explanation:

Step 1: We know that Danny has 6 orange shirts, which is 40% of the total number of shirts he owns.

Step 2: To find out the total number of shirts Danny owns, we can use the following formula:

Total number of shirts = (Number of orange shirts ÷ Percentage of orange shirts) × 100

Plugging in the values, we get:

Total number of shirts = (6 ÷ 40) × 100 = 15

Therefore, Danny owns a total of 15 shirts.

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

Answer: R12.20

Step-by-step explanation:

VAT in South Africa is 15% so if the flat rate is R93.57, the VAT amount can be found by finding the pre-tax flat rate:

93.57 = x + 0.15x

1.15x = 93.57

x = 93.57/1.15

x = R81.37

VAT is 15% of R81.37:

= 15% * 81.37

= R12.20

Simple random sampling is usually done without replacement, which means that a subject cannot be selected for a sample more than once. So, the correct answer is A.

Simple random sampling is a statistical method of obtaining a sample from a population in which every individual in the population has an equal chance of being selected.

In other words, the sample is drawn randomly and without any bias.

The sampling process involves the selection of a group of people or items from a larger population, based on a set of criteria that is typically random.There are two types of simple random sampling, with and without replacement.

In sampling without replacement, each member of the population is only sampled once.

This is because the selection of one individual removes it from the population, and it cannot be selected again. In sampling with replacement, each member of the population can be sampled multiple times because the selection of an individual does not remove it from the population.

However, simple random sampling is usually done without replacement, which means that a subject cannot be selected for a sample more than once.

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