If f(x) = x2, g(x) = 5x, and h(x) = x + 4, find each value. 17. f[g(–2)]
a. 7 b. 10 c. 30 d. 100

Molly covered 1/2 of the total distance in the first two days.

To find the fraction of the distance Molly covered in the first two days, we need to add the fractions for each day.

On the first day, Molly covered 2/10 of the distance.

On the second day, Molly covered 3/10 of the distance.

To find the total distance covered in the first two days, we add these fractions together:

2/10 + 3/10 = 5/10

Simplifying the fraction, we get:

5/10 = 1/2

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The bisection method is an approximation method to find the roots of the given equation by repeatedly dividing the interval. This method will divide the interval until the resulting interval is found, which is extremely small.

To determine the number of iterations required for the bisection method, we need more information, such as the desired accuracy or the stopping criterion for the method. The bisection method works by repeatedly dividing the interval in half and checking if the function changes sign within the interval. This process continues until the desired accuracy is achieved.

Without knowing the specific stopping criterion, it is not possible to determine the exact number of iterations required. The number of iterations depends on factors such as the behavior of the function and the desired accuracy.

If you provide more information about the desired accuracy or the stopping criterion, I can assist you in determining the number of iterations required for the bisection method.

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Answer:

difference = \(x^2-12x\)

Step-by-step explanation:

hope this helps :)

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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The missing length indicated for 3 and 4 are The value of x is 28, the value of x is 18

What is triangle similarity rule?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal, and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "~"

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose shapes are similar to one another.

1. As we can see all the sides belongs to the same right-angled triangle

Therefore, ratio of similar sides will be equal

i.e.

\(\frac{12}{15} = \frac{x}{35}\\\\x=\frac{12}{15}(35)\)

x=28

2. As we can see all the lines with red arrows are parallel to each other

Therefore, the corresponding angles will be equal

i.e.

\(\frac{8}{24}=\frac{x}{54}\)

\(x=\frac{8}{24}(54)\)

x = 18

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Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

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To compute the triple integral of the function yze(x² + x²) over the region E, we need to evaluate the integral ∭E yze(x² + x²) dV.

The region E is described by the inequalities 0 ≤ x ≤ 5, 0 ≤ y ≤ 5, and 1 ≤ z ≤ 7. It is a rectangular prism in three-dimensional space with x, y, and z coordinates bounded accordingly. To calculate the triple integral, we integrate the given function with respect to x, y, and z over their respective ranges. The integral is taken over the region E, so we integrate the function over the specified intervals for x, y, and z.

By evaluating the triple integral using these limits of integration and the given function, we can determine the numerical value of the integral. This involves performing multiple integrations in the specified order, considering each variable separately.

The result will be a scalar value representing the volume under the function yze(x² + x²) within the region E.

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Given

LM = 9, MN = 6x, and LN = 9x

Find

LN

Explanation

as we see LN = LM + MN

so ,

so , LN = 9x = 9 * 3 = 27

Final Answer

Therefore , the length of LN is 27

Answer:

3

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer: 23 with a remainder of 4

False. The term "undisturbed" refers to the state of the soil or sediment sample before it is collected.

An undisturbed sample is one that has not been altered or disturbed in any way during the sampling process.

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n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))

       2 [cos(alpha) sin(alpha) + cos(4 alpha) sin(2 alpha) + cos(9 alpha) sin(3 alpha) + ... + cos(n^2 alpha) sin(n alpha)]

     = [sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)].

        sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)

     = (sin(2 alpha) - sin(2n^2 alpha))/(1 - sin(2 alpha))

     = (2 sin(n^2 alpha) cos(n^2 alpha))/(2 cos(alpha) - 1)

     = [sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)

        [sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)

        sin(2n^2 phi/2008) = k(2 cos(alpha) - 1)

        cos(90 - 2n^2 phi/2008) = k(2 cos(alpha) - 1)

       90 - 2n^2 phi/2008 = ±arccos(k(2 cos(alpha) - 1))

       n^2 = (2008/4phi)[90 ± arccos(k(2 cos(alpha) - 1))]

       n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))

We can find the smallest positive integer n by incrementing the value of k starting from 1 until ceil(k^2*alpha) is greater than or equal to n.

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hate to be that person but what she said

Answer: \(337.77\%\)

Step-by-step explanation:

Given

For 70 year old, premium is 79.79 per month

For 80 year old it is 349.30 per month

Percentage increase in premium costs from age 70 to 80 is

\(\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%\)

The annual yield to maturity (YTM) at that time will be 6.83%. Therefore, the correct answer is E. 6.83%.

To calculate the YTM, we can use the bond pricing formula and solve for the interest rate that equates the present value of the bond's future cash flows to its current price.

In this case, the bond has a face value of $1000, a coupon rate of 6% per year (semiannual payments), a time to maturity of 28 years (since two years have passed), and a current price of $900.

By plugging these values into the bond pricing formula and solving for the YTM, we find that the annual YTM at that time is 6.83%.

The YTM represents the total return an investor can expect to earn from holding the bond until maturity, considering both the coupon payments and any capital gains or losses from buying the bond at a price different from its face value. In this scenario, the YTM reflects the yield an investor would earn if they purchased the bond at $900 and held it until maturity.

Therefore, the correct answer is E. 6.83%.

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The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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The point does the graph of the line y=2x−6 cross the y-axis will be (0, -6). Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given as,

y = 2x - 6

At the y-axis, the value of the variable 'x' becomes zero. Then we have

y = 2 (0) - 6

y = - 6

The point does the graph of the line y=2x−6 cross the y-axis will be (0, -6). Then the correct option is C.

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assuming she can keep up this pace

it will take her 10 minutes or 1 /6 of an hour to run a mile

please give brainliest

Answer:

#3) 2/5×2= 4/5 full bucket per one hour.

Answer:

B - StartFraction 78 minus 87 over 8 minus 2

In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

Answer:

\( - 3x - 4y ^{2} \)

Step-by-step explanation:

\( - 3 - 2 ^{2} y ^{2} \)

\( - 3x - 4y ^{2} \)

Gwen's total sales and costs would be; 50 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider that x represent the number of pounds of soap that she makes and eventually sells.

we are given that Gwen intially spent $96 to purchase soap-making equipment, and the materials for each pound of soap cost $9. This means that the total cost of making x pounds of soap would be;

9x + 96

thus her revenue for x pounds of soap would be

25 × x = 25x

If she eventually sells enough soap to cover the cost of the equipment, then we get;

9x + 96 = 25x

25x - 9x = 96

x = 96/16

x = 6

she would need to sell make and sell 6 soaps.

The cost would be 9x + 96 = 150

The total sales would be;

25 x 6 = 150

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while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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The remainder when the original number is divided by 130 is 0 using Chinese Remainder Theorem.

To solve this problem, we need to use the Chinese Remainder Theorem. Since the number has a remainder of 3 when divided by 10 and a remainder of 3 when divided by 13, we can write it as:

x ≡ 3 (mod 10)
x ≡ 3 (mod 13)

To find the solution, we can use the following steps:

Step 1: Find a solution to each congruence.

For the first congruence, we can see that x = 13k + 3 is a solution, where k is an integer. This is because any number of the form 13k + 3 will leave a remainder of 3 when divided by 10.

For the second congruence, we can use the same method and find that x = 10m + 3 is a solution, where m is an integer.

Step 2: Combine the solutions using the Chinese Remainder Theorem.

To combine the solutions, we need to find a number that satisfies both congruences. One way to do this is to use the equation:

x = aM(y)(b) + bM(x)(a)

where a = 10, b = 13, M(a) = 13, and M(b) = 10. Plugging in these values, we get:

x = 10(13)(y) + 13(10)(x)

Simplifying this equation, we get:

x = 130y + 130x - 130x + 130y

x = 260y

So any number of the form 260y will satisfy both congruences.

Step 3: Find the remainder when divided by 130.

To find the remainder when divided by 130, we can simply take the remainder of 260y when divided by 130. Since 260 is a multiple of 130, we know that the remainder will be 0. Therefore, the remainder when the original number is divided by 130 is 0.

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Answer:total amount of money that he should pay if he has not used his duty free exemption is $98

Step-by-step explanation:I did this before

The length of segment MN is 6 units.

To find the length of segment MN, we can use the distance formula in coordinate geometry.

The distance formula calculates the distance between two points (x₁, y₁) and (x₂, y₂) on the coordinate plane.

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Given the endpoints of segment MN as M(3, 2) and N(9, 2), we can substitute the coordinates into the distance formula.

d = √((9 - 3)² + (2 - 2)²)

d = √(6² + 0²)

d = √(36 + 0)

d = √36

d = 6.

Therefore, the length of segment MN is 6 units.

It's important to note that the y-coordinates of points M and N are the same (both 2), indicating that the segment lies horizontally along the x-axis.

The difference in the x-coordinates (9 - 3 = 6) gives us the length of the segment.

In this case, since the y-coordinates are the same, the segment has no vertical height and is simply a horizontal line segment with a length of 6 units.

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