question is in the image, i need the method answer for part b.

the question says: "the diagram shows the position of two ships, A and B, and the coastguard station, C."

Step-by-step explanation:

we have two lines you have to draw.

one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).

the easiest is for x>5. the line function is only

f(x) = y = 3

so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).

and for x<=0 the line

f(x) = y = 4x - 3

goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.

so, the starting point (with a full dot, as x=0 is included) is (0,-3).

from there it goes sharp down and a little bit to the left.

for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).

the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.

The area of the rectangle whose length is \(\frac{7}{4}\) cm and breadth \(\frac{8}{4}\) cm is ---------- cm²

Given -:

To Find -:

Solution -:

We know,

\( ☢ \: \large\boxed{ \rm{ Area_{(rectangle)} = L × B }}\)

Where,

Substituting the values of length = \(\frac{7}{4}\) cm and breadth = \(\frac{8}{4}\) cm in the given formula

\( \large\sf{ Area_{(rectangle)} = \dfrac{7}{4} × \dfrac{8}{4}}\)

\( \rightarrow \large\sf Area_{(rectangle)} = \dfrac{7 \times 8}{4 \times 4} \)

\( \large\sf{ Area_{(rectangle)} = \dfrac{7 \times \cancel{ 8} \: ^{ \cancel{2}} }{ \cancel{4} \: ^{2} \times \cancel{4} } = \dfrac{7}{2} {cm}^{2} }\)

Area of the rectangle = \(\frac{7}{2}\) cm².

\( \underline {\rule{60mm}{2pt}}\)

The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

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The pairs of equivalent expressions matched together are;

(-14+3/2b)+(1+8/2b) = -15-5/2b

(5+2b)+(2b+3/2) = 4b+13/2

(7/2b-3)-(8+6b) = -5/2b-11

(-10+b)+(7b-5) = 8b-15

Following PEMDAS

P = parenthesis

E = Exponents

M = Multiplication

D = Division

A = Addition

S = subtraction

(-14+3/2b)-(1+8/2b)

open parenthesis

= -14 + 3/2b - 1 - 8/2b

combine like terms

= -15 + 3/2b - 4b

= -15 + (3b-8b)/2

= -15 + 5/2b

(5+2b)+(2b+3/2)

open parenthesis

= 5 + 2b + 2b + 3/2

= 4b + (10+3)/2

= 4b + 13/2

(7/2b-3)-(8+6b)

= 7/2b - 3 - 8 - 6b

= (7b-12b)/2 -11

= -5/2b - 11

(-10+b)+(7b-5)

= -10 + b + 7b - 5

= -15 + 8b

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The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.

The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.

The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:

A. It can be calculated when the data contain negative or zero values:

This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.

C. It is always the square root of the variance:

This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.

D. Its physical interpretation is not as easy as the MAD:

This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).

The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.

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Answer:

771₈ added to 511₈ equals 1,282.

Answer:

the dog has 320 bones :)

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

cause 240/4= 60 and 240+60 = 300

If a is positive, the function f(x) = \(a^x\) - 4 will never cross the x-axis.

1. We want to determine whether the function f(x) = \(a^x\) - 4 will intersect or cross the x-axis.

2. To find the x-intercepts, we set f(x) = 0 and solve for x. In this case, we have \(a^x\) - 4 = 0.

3. Adding 4 to both sides of the equation, we get \(a^x\) = 4.

4. If a is positive, raising a positive number to any power will always yield a positive value.

5. Therefore, there are no values of x that will make \(a^x\) equal to 4 when a is positive.

6. Since the function f(x) = \(a^x\) - 4 cannot equal zero, it will never cross the x-axis when a is positive.

7. In other words, the graph of the function will always remain above the x-axis for positive values of a.

8. However, if a is negative, then there will be values of x where \(a^x\) - 4 = 0 and the function crosses the x-axis.

9. Therefore, the statement that the function f(x) = \(a^x\) - 4 will never cross the x-axis is true only when a is positive.

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Answer:

=3a^3−2a^2−a−97

Step-by-step explanation:

Answer: No, it is not reasonable that 1 kilogram of coins would be worth more than a million dollars.

There are a few reasons why this is the case:

1. A kilogram of coins would contain 1000 grams. If each dollar coin weighs less than 10 grams, then a kilogram of dollar coins would contain more than 100 coins. Even if each coin were worth $1000 (which is much more than the face value of a dollar coin), 100 coins would only be worth $100,000.

2. In reality, each dollar coin is worth exactly $1. This means that a kilogram of dollar coins would be worth $1000, which is much less than a million dollars.

3. If Rena's estimate were true, then a single dollar coin would be worth more than $1000, which is clearly not the case.

Therefore, Rena's estimate is not reasonable.

Step-by-step explanation:

This is not reasonable.

Conversion could appear difficult, but this tip will make it simple for you to convert any unit. The fundamental rule is to multiply when converting from a larger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit.

We have,

A dollar coin has a mass of a little less than 10 grams.

as, 1 Kg = 1000 gm

let a dollar coin mass be x.

So, x < 10 gm

and, 100x < 1000

Now, comparing 1000000 x < 1000000 gm

1000000 x < 1000 Kg

Thus, this is not reasonable.

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It implies that when F(x) shifts 7 units to the left, we get the value equal to G. (x). As a result, the graph of G(x) is the graph of F(x) with 7 units added to the left.

The graph of g is the reflection of the graph of f. If g(x) = f(-x), then the graph of g is obtained from the graph of f by reflecting about the y-axis.

For instance, the result of multiplying f(x) and g(x) is h(x) = fg (x), or h(x)=f(x)g (x). if f is the function denoted by f(x) = x2 and g is the function denoted by g(x) = x + 3.

Therefore,

The Correct answer is : The two functions G(x) and F are provided to us (x).

We must determine which assertion most accurately contrasts the graphs of G(x) and F(x).

Suppose

F(x) = x [/ tex]

G(x) = x-7

When x = 1 is substituted

So, F(x) = 1

G(x) = 1-7 = -6

It implies that we obtain the value equal to the value of G when F(x) shifts 7 units to the left (x).

The graph of G(x) is therefore the graph of F(x) with 7 units added to the left.

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Intrinsic knowledge, also known as intrinsic value or intrinsic understanding, refers to knowledge that is valued for its inherent qualities or qualities that exist within itself. It is knowledge that is pursued or appreciated for its own sake, independent of any external factors or practical applications.

1. The specific victory condition of this game is to find an antidote for the disease before time runs out. You are given immunity from a deadly disease that causes humans to age rapidly. It is up to you alone to find the cure. The earth has been devastated by a horrible plague, causing the aging process to speed up. The population has decreased by 50%, and it’s just a matter of time before all humans cease to exist.

2. The strategy used by the film producer to get money from investors is to answer trivia questions related to popular films. This strategy requires players to apply explicit knowledge in order to advance in the game. 3. In Joseph Campbell's monomyth, the hero goes through a time of even more tests and trials during the "approach to the inmost cave". It is the stage in which the hero leaves the known world and enters into the unknown world, to accomplish the ultimate goal.

4. The given example is an example of intrinsic knowledge. Intrinsic knowledge is the type of knowledge that comes from personal experience and learning. It is knowledge that has been gained by doing something over and over again. Intrinsic knowledge is often associated with philosophical and metaphysical discussions about the nature of knowledge and its value. It is concerned with understanding the essence, truth, or meaning of certain concepts, ideas, or phenomena.

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Answer: \(\{-10, 0 \}\)

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

So, the range is \(\boxed{\{-10, 0 \}}\)

The matrix of a quadratic form is always a symmetric matrix.A quadratic form is a mathematical expression that consists of variables raised to the power of two, multiplied by coefficients, and added together.

It can be represented in matrix form as Q(x) = x^T A x, where x is a vector of variables and A is the matrix of coefficients. The matrix A is known as the matrix of the quadratic form.

To show that the matrix of a quadratic form is symmetric, let's consider the expression Q(x) = x^T A x. Using the properties of matrix transpose, we can rewrite this expression as Q(x) = (x^T A^T) x. Since the transpose of a matrix A is denoted as A^T, we can see that A^T is the same as A, as A is already a matrix.

Therefore, we have Q(x) = x^T A x = x^T A^T x. This implies that the matrix of the quadratic form A is symmetric, as A^T = A. In other words, the elements of the matrix A are symmetric with respect to the main diagonal. This property holds true for any quadratic form, regardless of its coefficients or variables, making the matrix of a quadratic form symmetric.

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Answer:

See below.

Step-by-step explanation:

You already have b correct, so let’s do d.

Remember the SOHCAHTOA rule (see image).

In this case, we can use either CAH or SOH. I’ll use CAH.

cos(45) = d/8

d = cos(45) * 8

d = 5.65 = 6

9514 1404 393

Answer:

  X.

Step-by-step explanation:

The inequalities tell you the graph is below a solid line that goes up to the right, and below a dashed line that goes down to the left. The upward sloping line has a slope of 2, so is steeper than the downward sloping line that has a slope of -1.

The colored portion will be in the bottom quarter of the X made by the crossing lines. The appropriate graph is X.

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

2/5

Step-by-step explanation:

Picking 4 cards out of 10, and as a fraction, it would be 2/5

Answer:

2/5 chance

Step-by-step explanation:

Well there 10 letters and only 4 letters are between Q and t (Q,R,S,T) so 4/10 simplified is 2/5.

Answer:

TV,VT

Step-by-step explanation:

They both have a straight angle

Answer:

QV

Step-by-step explanation:

If you need an explanation, LMK

The volume of the new box is 30 units^3.

We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5,2,1 or 10,1. Since we can try each one separately, we can express the factored form as follows:

                                       (5x-p)(2x-q)(x-r)

Due to the fact that p, q, and r must multiply to 6, they must be either 3,2,1 or 6,1,1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.

When we multiply the x-terms and attempt (5x-2)(2x-1)(x-3), the answer is 29. Try adding the x^2 terms together; they equal -39. Consequently, the roots are \(\frac{2}{5} , \frac{1}{2} and 3.\) Now if you add 2 to each root, you get the volume is

=> \(\frac{12}{5} X \frac{5}{2} X 5 =30\)

Therefore, The volume of the new box is 30 units^3.

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Displacement is defined as the difference between the initial position of the particle at the start of the interval and its final position at the end of the interval.

In order to answer the given question, "Estimate the displacement of the particle on the interval [2,5] given the graph of f," we would need to see the graph of f in question. Without this information, we cannot provide a specific answer to the question.

However, in general, to estimate the displacement of a particle over a given interval, you would need to find the difference between the initial position of the particle at the start of the interval and its final position at the end of the interval. This is known as the particle's displacement.

To calculate the displacement of the particle, you would need to know its position at the beginning and end of the given interval. Depending on the situation, this could involve calculating the area under a curve, finding the slope of a line, or using other mathematical methods to determine the particle's position at various points in time.

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Work Shown:

s = side length = 15 inches

SA = surface area of the cube

SA = 6s^2

SA = 6*15^2

SA = 6*225

SA = 1350

The surface area is 1350 square inches.

Note the formula has us compute the area of each square face, which is s*s = s^2. Then we multiply by 6 since there are 6 identical square faces on the cube.

Answer:

1350 \(in^{2}\)

Step-by-step explanation:

A cube has six sides. To find the area of a square, multiply the length by itself:

15 x 15 = 225

Since each side is the same (because the box is a cube), simply multiply 225 by 6 (the number of sides on a cube):

225 x 6 = 1350

Answer:

17.74

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Answer:

f ( - 2 ) =  - 12

Step-by-step explanation:

f ( - 2 ) = - 3 ( -2 )^2

then you do the exponent first so

- 3 ( 4 )

now you multpily the - 3 and 4

you get - 12

Step-by-step explanation:

Similar figures have different side lengths but corresponding angles are congruent.

The figure you sketch will have side length:

When k > 1, you sketch a larger figure, when 0 < k < 1, you sketch a smaller figure than pictured.

See attached, the two figures, one has side of 18 when k = 1.5, another one has side of 6, when k = 0.5

The number 0.0098 has two significant digits.In scientific notation, it can be written as 9.8 x 10^(-3), where the digits 9 and 8 are significant.

The leading zeros before the 9 do not contribute to the number of significant digits. Therefore, the correct answer is option a. 2.

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i) The equation of the line that is perpendicular to the line and passes through the point (-5,6) is 5y = -2x + 20.

ii) The equation of the line that is  parallel to the line and passes through the point (-5,6) is 2y = 5x + 27

y = 5/2 x + 5

Here compare with y = mx+c, then the slope is 5/2.

i) perpendicular to the line and passes through the point (-5,6). Then slope is

m₁ * m₂ = -1

5/2 * m₂ = -1

m₂ = -2/5

The equation of the line will be one point and one slope:

(y-y₁) =  m₂ (x-x₁)

(y - 6) = -2/5 (x + 5 )

5(y - 6) = -2(x+5)

5y - 30 = -2x -10

5y = -2x -10 + 30

5y = -2x + 20

ii) parallel to the line and passes through the point (-5,6). Then slope is

m₁ =  m₂

Hence, m₂ = 5/2

The equation of the line will be one point and one slope:

(y-y₁) =  m₂ (x-x₁)

(y - 6) = 5/2 (x + 5 )

2y - 12 = 5x + 15

2y = 5x + 27

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The probability that the sample mean score is less than 567 is 0.1075.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will approach a normal distribution as the sample size increases.

First, we need to standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

z = (567 - 572) / (127 / sqrt(72)) = -1.24

Next, we need to find the probability that a standard normal random variable is less than -1.24. This can be done using a standard normal table or a calculator.

Using the TI-84 Plus calculator, we can find this probability by using the command "normalcdf(-E99,-1.24)" which gives us 0.1075 (rounded to four decimal places).

Therefore, the probability that the sample mean score is less than 567 is 0.1075.

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