What is the volume of a sphere with a radius of 9.7 m, rounded to the nearest tenth of a cubic meter?

Answer:

the answer of the matrix is =b the second one

It doesn't really taste sweet because the temperature is lower hence the sugar does not dissolve properly.

A solution is composed of a solute and a solvent. The solute dissolves in the solvent. In this case, the sugar is the solute in this case. We have to also note that temperature has a huge effect on solubility of a solute.

With the iced coffee, the temperature is  lower hence the sugar does not dissolve properly therefore the coffee does not taste really sweet.

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The function of f(u) = cos(u)` and `g(x) = sin x`.

We are to write the function `y = cos(sin x)` below in the form `y = f(u)` and `u = g(x)`.

Then, we need to find `dy/dx` as a function of `x`.

Function `y = cos(sin x)` can be written as: `y = f(u)`, where `u = sin x` and `f(u) = cos(u)`.

Thus, `f(u) = cos(sin x)` and `u = sin x`.

Hence, `f(u) = cos(u)` and `g(x) = sin x`.

Now, we can apply the chain rule of differentiation to find `dy/dx` as a function of `x`.

The chain rule states that if `y = f(u)` and `u = g(x)`, then `dy/dx = dy/du * du/dx`.

Here, `f(u) = cos(u)` and `g(x) = sin x`. Thus, `dy/du = -sin(u)` and `du/dx = cos x`.

Therefore, `dy/dx = dy/du * du/dx = -sin(u) * cos x = -sin(sin x) * cos x`.

Thus, `dy/dx = -sin(sin x) * cos x`.

Hence, the functions `f(u)` and `g(x)` are: `f(u) = cos(u)` and `g(x) = sin x`.

Therefore, we have `y = cos(sin x)` in the form `y = f(u)` and `u = g(x)`.

Finally, `dy/dx` as a function of `x` is `-sin(sin x) * cos x`.

Thus, `f(u) = cos(u)` and `g(x) = sin x`.

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Answer:

39200000

Step by step explanation is in the photo

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.

Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.

Condition to be determined that proves triangles to be congruent by HL.

HL implies the hypotenuse and leg pair of the right-angle triangle.

Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.

Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.

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In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.

XZ ≅ EG and ∠X ≅ ∠E

B.

XZ ≅ EG and YZ ≅ FG

C.

XZ ≅ FG and ∠X ≅ ∠E

D.

XY ≅ EF and YZ ≅ FG

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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The area of the regular octagon with sides four times as large is 400 cm².

The area of a regular polygon is directly proportional to the square of its side length. If the side length of a regular octagon is multiplied by a factor of k, then the area of the new regular octagon will be multiplied by a factor of k^2.

In this case, the side length of the original regular octagon is multiplied by a factor of 4. Therefore, the area of the new regular octagon will be multiplied by a factor of (4^2) = 16.

Given that the area of the original regular octagon is 25 cm², the area of the new regular octagon will be:

Area of new octagon = Area of original octagon * (factor)^2

= 25 cm² * 16

= 400 cm²

Therefore, the area of the regular octagon with sides four times as large is 400 cm².

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The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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Step-by-step explanation:

Distance= ✓(-2-0)²+(8+1)²

=✓(4+81)

=✓85

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Answer: 4

Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4

The scale factor for the given dilation is 3

Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.

If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as :  (x, y) → (k x, k y).

The scale factor ,k  = coordinate of image / coordinate of original

Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure

Scale Factor = coordinate of image / coordinate of original

                    = OA' / OA = 9/3 = 3

Therefore, the scale factor for the given dilation is 3.

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Answer:

2nd option

Step-by-step explanation:

kf(x) scales the graph of f(x) in the vertical direction.

• k > 1 stretches

• 0 < k < 1 compresses

Here k = 2 , thus a vertical stretch

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

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here \(\sqrt{x-1}\) has a < 0 then a shift of 1 unit to the right

Answer:

Chicken

Step-by-step explanation:

When the chicken gets rolled in the batter. it gets fried after.

To find where the line crosses the x-axis, we need to find the value of x the line crosses the x-axis at the point   \((-5/3, 0).\)

a) The gradient of a line is the coefficient of the x term in its equation in the form y = mx + c, where m is the gradient. Therefore, the gradient of the line with equation \(y = 3x + i is 3\)  .

b) Since the line passes through the point (2, 11), we can substitute these values into the equation  \(y = 3x + i\) to find the value of i:

\(11 = 3(2) + i\)

\(11 = 6 + i\)

\(i = 11 - 6\)

\(i = 5\)

Therefore, the equation of the line can be written as   \(y = 3x + 5.\)

c) The value of k in the equation   \(11 = 6 + k\) is simply the y-intercept of the line. From the equation \(y = 3x + 5\)  , we can see that the y-intercept is 5. Therefore, k = 5, and the equation of the line is \(y = 3x + 5.\)

d) To find where the line crosses the x-axis, we need to find the value of x when y = 0. Substituting y = 0 into the equation \(y = 3x + 5\)  , we get:

\(0 = 3x + 5\)

\(x = -5/3\)

Therefore, the line crosses the x-axis at the point  \((-5/3, 0).\)

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a) The gradient of the line is 3.

c) The Value of k is 6.

d) The line crosses the y-axis at (0, 5).

The line's equation is y = 3x + k,

a) Compare this with the standard equation of line y = mx + c

where 3 is the coefficient of x.

The slope or gradient of a line is represented by the coefficient of x in its equation.

As a result, the gradient of the line y = 3x + k is 3.

b) We now know that the line goes through the point. (2, 11). Using the equation y = 3x + k, we can find the value of the y-intercept (k) at this moment. When we substitute x = 2 and y = 11 into the equation, we get:

11 = 3(2) + k

When we simplify the right side, we get:

11 = 6 + k

c) When we subtract 6 from both sides, we get:

k = 11 - 6 = 5

As a result, the equation of the line is as follows:

y = 3x + 5.

d) So, the y-intercept value is 5, indicating that the line crosses the y-axis at the location. (0, 5).

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Answer:

1/2 is the simplest form of 3/6

1/2 and 2/4 are equivalent fractions

3/12 and 1/4 are equivalent fractions

1/2 and 5/10 are equivalent fractions

i am not completely sure about the improper fractions. sorry

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

i took the test hope you pass

Answer: 9

Step-by-step explanation:

\(g(-5)=\frac{-5}{5}=-1\\\\(f\circ g)(-5)=f(g(-5))=f(-1)=-3(-1)+6=\boxed{9}\)

Answer:

$45

Step-by-step explanation:

3x4=12

15x3=45

Answer:

True

Step-by-step explanation:

If the velocity of the fisherman is 4.00 m/s when he jumps into the boat, then the final velocity of the fisherman and the boat is 1.78 m/s.

Momentum is a vector quantity, which means that it has both magnitude and direction.

We can solve this problem using the law of conservation of momentum, which states that the total momentum of a system is conserved if there are no external forces acting on it.

The system's starting momentum is determined by:

p1 = m1v1

where p1 is the initial momentum of the fisherman, m1 is his mass, and v1 is his initial velocity. Since the boat is initially at rest, its momentum is zero. As a result, the system's overall initial momentum is:

p1tot = p1 + p2 = m1v1

where p2 is the initial momentum of the boat and is equal to zero.

When the fisherman jumps into the boat, the system becomes a closed system with no external forces acting on it. As a result, the system's overall momentum must be conserved.

p1tot = p2tot

where p2tot is the final momentum of the system. The system's final momentum is determined by:

p2tot = (m1 + m2)vf

where m2 is the mass of the boat, and vf is the final velocity of the boat and the fisherman.

We can rearrange these equations to solve for the final velocity vf:

p1tot = p2tot

m1v1 = (m1 + m2)vf

vf = (m1v1)/(m1 + m2)

Substituting the given values, we get:

vf = (80.0 kg)(4.00 m/s)/(80.0 kg + 100.0 kg)

vf = 1.78 m/s

Therefore, the final velocity of the fisherman and the boat is 1.78 m/s.

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F'(8) = 450 and G²(8) = 202,500.

To find F'(8) and G²(8), we need to apply the chain rule and use the given information about f(x). Let's start with F(x) = f(f(z)). Since F(x) is composed of nested functions, we can use the chain rule to find its derivative. Applying the chain rule, we have:

F'(x) = f'(f(z)) * f'(z)

Now, we need to find F'(8). From the information given, f'(8) = 15. To find f'(z), we can use f'(5) = 5, since f(5) = 3. Using the chain rule, we can calculate f'(z) as follows:

f'(z) = f'(5) * f'(z)

      = 5 * f'(z)

Since f'(8) = 15, we can substitute these values into the equation for F'(x) to find F'(8):

F'(8) = f'(f(z)) * f'(z)

     = f'(f(8)) * f'(8)

     = f'(3) * 15

     = 5 * 15

     = 75

Thus, F'(8) = 75.

Next, we need to find G²(8). Given that G(x) = F²(x), we can express G²(8) as (F²(8)). Using the chain rule, we can calculate (F²(x))' as follows:

(F²(x))' = 2 * F(x) * F'(x)

Substituting F(x) = f(f(z)) and F'(x) = F'(8) = 75, we can find (F²(8))':

(F²(8))' = 2 * F(8) * F'(8)

        = 2 * f(f(8)) * F'(8)

To find f(f(8)), we can substitute f(8) = -5 into f(x):

f(f(8)) = f(-5)

       = 5(-5)²(1-4(-5))³

       = 5 * 25 * 9

       = 1125

Plugging in the values, we can calculate (F²(8))':

(F²(8))' = 2 * 1125 * 75

        = 2250 * 75

        = 168,750

Finally, to find G²(8), we square (F²(8))':

G²(8) = (F²(8))'²

      = 168,750²

      = 202,500

Therefore, G²(8) = 202,500.

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Standard deviation and median are less affected by extreme scores, while mode is not affected at all since it represents the most frequently occurring value.

The measure of variation affected most by a few extreme scores is the range, as it considers only the difference between the highest and lowest values in a dataset. However, the mean can also be influenced by extreme scores, causing it to deviate from the central tendency. Standard deviation and median are less affected by extreme scores, while the mode is not affected at all since it represents the most frequently occurring value.

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The measure of variation affected most by a few extreme scores is the range. The range is the difference between the

highest and lowest values in a data set. Extreme scores significantly increase the range, making it a sensitive measure

of variation.

The measure of variation that is affected most by a few extreme scores is the standard deviation.

The reason for this is that the standard deviation is calculated by taking the square root of the sum of squared

deviations from the mean, and the squared deviations from the mean are particularly sensitive to extreme scores.

On the other hand, the mode, range, median, and mean are less affected by a few extreme scores.

The mode is simply the most frequently occurring value in a dataset and is not affected by extreme scores.

The range is the difference between the highest and lowest values in a dataset and can be affected by extreme scores, but only to a limited extent.

The median is the middle value in a dataset, and it is also not affected by extreme scores unless they are extreme

enough to change the position of the middle value.

The mean is the average value in a dataset, and while it can be influenced by extreme scores, its effect is typically less

pronounced than on the standard deviation.

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Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

If A is a subset of B, it does not necessarily mean that A is a proper subset of B. The union of any set A and its complement is indeed the universal set.

1. False: If A is a subset of B, it does not necessarily mean that A is a proper subset of B. A proper subset is a subset that contains some, but not all, elements of the superset. In other words, if A is a proper subset of B, it means that there exists at least one element in B that is not in A. However, if A is simply a subset of B, it is possible for A and B to have the same elements, making them equal sets.

For example, let's consider two sets:

A = {1, 2}

B = {1, 2, 3}

In this case, A is a subset of B because every element in A (1 and 2) is also in B. However, A is not a proper subset of B since there are no elements in B that are not in A. Therefore, statement 1 is false.

2. True: The union of any set A and its complement is indeed the universal set. The complement of a set A, denoted as A', consists of all elements that are not in A but are in the universal set U. When we take the union of A and its complement, we are effectively combining all elements from A and all elements not in A.

Let's consider a set A and its complement A' within a universal set U. The union of A and A' is denoted as A ∪ A' and can be represented as U. This is because every element in the universal set U is either in A or not in A (in A').

For example, let's consider the following sets:

U = {1, 2, 3, 4, 5}

A = {1, 2}

The complement of A, A', would be {3, 4, 5}. The union of A and A' (A ∪ A') is {1, 2} ∪ {3, 4, 5}, which is equal to U: {1, 2, 3, 4, 5}. Thus, the union of any set A and its complement is indeed the universal set. Therefore, statement 2 is true.

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Answer:

the slope is b: -1/2

rise/run is an easy way to do it. Count the number of x-units between points and the number of y-units. in this case its 6 x-units and 3 y-units. y is rise and x is run, so it'll be 3/6 or 1/2 and it's negative because it's decreasing left to right.

Answer:

No

Step-by-step explanation:

In ΔABC, we see that the line that shows congruent is on a side with a right angle, but in ΔDEF we see that the congruent line is on the opposite side of the right triangle.

If my answer is incorrect, pls correct me!

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

-Chetan K

The three main examples of parallel lines are railway track, sidewalk edges and ladder rails

Given,

Parallel lines;-

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

We have to the examples of parallel lines;

Here,

Examples of parallel lines in real life are railroad tracks, sidewalk edges, ladder rails, endless rail tracks, opposing sides of a ruler, opposite edges of a pen, and eraser

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89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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Answer:

The triangle one is 80mm and parallelogram is 24 in.

Step-by-step explanation:

Answer:

it is 38.74

Step-by-step explanation:

kekdjfjaksodkfjaj

Answer:

131.63

Step-by-step explanation:

Sample method: Use properties of operations. Let x represent the markup.

​

            x98.75=33.3100                             Write the proportion.

            x98.75=0.333                              Divide 33.3 by 100.

98.75 · x98.75=(0.333)∙98.75               Multiplication Property of Equality

                      x=32.88                              Simplify.

​

Add the markup to the wholesale cost.

The selling price is  $98.75+$32.88  or $131.63.