Given b(x) = x+4). what is b(-10)?

The distance of the ship from point A is 39.2 km

From the question, we are to determine the distance of the ship from point A

In the diagram, the distance of the ship from point A is /SA/

Using the law of cosines, we can write that

/SA/² = 18.5² + 47.8² - 2× 18.5×47.8 cos(52°)

/SA/² = 342.25 + 2284.85 - 1088.85888526

/SA/² = 1538.24111474

/SA/ = √1538.24111474

/SA/ = 39.2204

/SA/ ≅ 39.2 km

Hence, the distance of the ship from point A is 39.2 km

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Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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The equivalent annual cost (EAC) of Model A is $2,332.60, while the EAC of Model B is $2,094.81. The EAC represents the annual cost of owning and operating the motorcycle over its expected life, taking into account the initial cost, annual maintenance costs, and the opportunity cost of capital.

To calculate the EAC, we use the formula:

EAC = (C + (M × A)) × D

Where:

C = Initial cost

M = Annual maintenance cost

A = Annuity factor

D = Discount factor

For Model A, the initial cost is $8,600 and the annual maintenance cost is $840. The expected life of the motorcycle is 6 years, so the annuity factor is calculated as follows: A = (1 - (1 + r)^(-n)) / r, where r is the discount rate (10% or 0.10) and n is the number of years (6). The annuity factor for Model A is 4.1119. The discount factor is calculated as (1 + r)^(-n), which is 0.5645. Plugging these values into the formula, we get EAC = ($8,600 + ($840 × 4.1119)) × 0.5645 = $2,332.60.

For Model B, the initial cost is $15,100 and the annual maintenance cost is $690. The expected life of the motorcycle is 10 years, so the annuity factor is calculated as A = (1 - (1 + r)^(-n)) / r, where r is 0.10 and n is 10. The annuity factor for Model B is 7.6068. The discount factor is calculated as (1 + r)^(-n), which is 0.3855. Plugging these values into the formula, we get EAC = ($15,100 + ($690 × 7.6068)) × 0.3855 = $2,094.81.

Therefore, the equivalent annual cost for Model A is $2,332.60 and for Model B is $2,094.81. Based on these calculations, Model B has a lower EAC and would be the more cost-effective choice for the family pizza parlor in terms of annual costs.

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Answer: In math End Behavior describes a graph at its end values. To explain, it is the high values and what the graph would like like as x values get very high and how it would look for the y values. Also, in terms of graph looks, this could be an exponential or logarithmic curve as values get very high. Think about End Behavior as the graphical patterns when the values get high. Hope this helps! Please give this a brainiest if this was helpful as I am one away from the next rank.

Step-by-step explanation:

Answer:I hope this helps

Step-by-step explanation:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

End behavior refers to the appearance of a graph as it is followed indefinitely in either horizontal direction. Leading coefficient POSITIVE: both "ends" are UP. Leading coefficient NEGATIVE: both "ends" are DOWN. Leading coefficient POSITIVE: left end is DOWN and right end is UP.

If the degree is odd and the lead coefficient is positive, then the right end of the graph will point up and the left end will point down. If the degree is odd and the lead coefficient is negative, then the right end of the graph will point down and the left end will point up

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer: 40°

40 * 9 =360° Each part has 40° angle

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

Answer:

C 120

Step-by-step explanation:

29 centimeters is equivalent to 11.42 inches.

To convert centimeters (cm) to inches (in), you can use the conversion factor of 0.393701. Multiply the number of centimeters by 0.393701 to get the number of inches. In this case, 29 centimeters multiplied by 0.393701 is equal to 11.42 inches.

It's important to note that this conversion is based on the International System of Units (SI) and may not be the same in other systems of measurement. Also, centimeters (cm) and inches (in) are units of length and should not be confused with other units of measurements such as mass, area and volume.

It's important to use the correct unit of measurement for the task or the context, otherwise it could lead to errors and inaccurate results. Also, it's important to make sure that the measurements are made on the same scale, otherwise the conversions may not be accurate. Centimeters are widely used in the rest of the world, while inches are mostly used in the United States and United Kingdom.

This conversion is common when measuring smaller lengths or widths, such as in clothing or paper size measurements.

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Answer:

5/8 x 3 = 15/8. If it needs to colour up then you to colour 15 of them.

22% of the population is left-eye dominant.

To find the percentage of the population that is left-eye dominant, we need to subtract the percentage of right-eye dominant individuals from 100%.

Given that 78% of the population is right-eye dominant, the percentage of left-eye dominant individuals can be calculated as:

Left-eye dominant percentage = 100% - Right-eye dominant percentage

Left-eye dominant percentage = 100% - 78%

Left-eye dominant percentage = 22%

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Answer:

Last choice

Step-by-step explanation:

These lines are presented in y = mx+b form where  m = slope b = intercept

Soooo:

y = (-1) x + 1        slope = - 1     intercept = 1

y = 2 x+4            slope = 2     intercept = 4

Where the two graphs cross is the 'solution'

Answer:

Los números son 81 y 243.

Step-by-step explanation:

Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales que relacionan incógnitas entre sí.

Una solución de un sistema es una asignación de valores para las incógnitas que hace  verdadera cada una de las ecuaciones. Esto es, en los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso las variables o incógnitas son los números "x" e "y".

Un tercio es la tercera parte de una cantidad y se calcula dividiendo por 3, mientras que un cuarto es la cuarta parte de una cantidad y se calcula dividiendo por 4.

Si un cuarto de la suma de dos números es 81 y un tercio de su diferencia es 54, el sistema de ecuaciones queda definido como:

\(\left \{ {{\frac{x+y}{4} =81} \atop {\frac{x-y}{3} =54}} \right.\)

Resolviendo por el sistema de sustitución, en primer lugar se debe despejar o aislar una de las incógnitas de una de las ecuaciones. En este caso, aislando la incógnita "x" de la primer ecuación se obtiene:

x +y= 4*81

x= 324 - y

Sustituyendo la expresión obtenida en la segunda expresión:

\(\frac{324-y-y}{3} =54\)

Resolviendo se obtiene:

324-y-y= 3*54

324 - 2*y= 162

-2*y= 162 - 324

-2*y= -162

y= (-162)÷ (-2)

y= 81

Reemplazando este valor obtenido en la expresión x= 324 - y se obtiene:

x= 324 - 81

x= 243

Los números son 81 y 243.

The distance between the two towers is 30 meters, and the height of the second tower (Tower B) is 90 meters.

We have two towers. Let's call the first tower Tower A, and the second tower Tower B. The height of Tower A is given as 30 meters. The angle of elevation of the top of Tower A from the foot of Tower B is 60 degrees. The angle of elevation of the top of Tower B from the foot of Tower A is 30 degrees. Our goal is to find the distance between the two towers and the height of Tower B.

In triangle ABC, where A is the foot of Tower A, B is the top of Tower B, and C is the top of Tower A:

tan(30 degrees) = AB / BC

Since tan(30 degrees) = 1 / √3, we can rewrite the equation as:

1 / √3 = AB / BC

Cross-multiplying, we get:

BC = AB * √3

In triangle ABC:

tan(60 degrees) = AC / BC

Since tan(60 degrees) = √3, we can rewrite the equation as:

√3 = AC / BC

Substituting the value of BC from Step 3:

√3 = AC / (AB * √3)

Cross-multiplying, we get:

AC = AB * 3

We have two equations:

BC = AB * √3

AC = AB * 3

Dividing equation 2 by equation 1:

AC / BC = 3 / √3

Simplifying, we get:

√3 = 3 / √3

Cross-multiplying, we get:

3 = 3

Since 3 = 3 is a true statement, we can conclude that the two towers are at the same distance as their heights. Therefore, the distance between the two towers is 30 meters.

Using the value of the distance between the towers (30 meters), we can substitute this value into one of the previous equations to find the height of Tower B. Let's use equation 2:

AC = AB * 3

Substituting AB with the distance (30 meters):

AC = 30 * 3

Simplifying, we find:

AC = 90 meters

Therefore, the height of Tower B is 90 meters.

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Answer:

what did you put for question 2 and 3?

Step-by-step explanation:

2.If the values for length and area are plotted, what would the graph look like?

3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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The gun will need to turn at a rate of approximately 0.32 radians per second to accurately track the aircraft.

To determine the rate at which the gun needs to turn to track the aircraft, we can use the concept of angular velocity. Angular velocity is defined as the rate of change of the angle with respect to time.

In this scenario, the gun needs to track the aircraft, which is moving in a straight-line path directly overhead. The gun needs to match the angular position of the aircraft to ensure accurate tracking.

The angle between the gun and the vertical axis can be calculated using trigonometry. We can use the fact that the elevation of the aircraft from the ground remains constant at 160 ft.

The tangent of the angle between the gun and the vertical axis is given by the ratio of the vertical displacement (160 ft) to the horizontal displacement (the distance covered by the aircraft per unit time, which is 500 ft/s).

Tangent of the angle = vertical displacement / horizontal displacement

Tangent of the angle = 160 ft / 500 ft/s

Using inverse tangent (arctan) function, we can find the angle in radians:

Angle = arctan(160/500) ≈ 0.3198 radians

Since the gun needs to track the aircraft as it moves, it needs to turn at the same angular velocity as the aircraft. Therefore, the gun needs to turn at a rate of approximately 0.32 radians per second to accurately track the aircraft.

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Answer:

21.6

Step-by-step explanation:

119 = 5x + 11

119 - 11 = 5x

108 = 5x

108÷5 = x

21.6 = x

hope this helped you.

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thank you and have a great day ahead :D

The remainder when x³- 3x² + 5x - 7 is divided by x - 2 is -1.

What is Remainder theorem?

The polynomial remainder theorem, also known as little Bézout's theorem, is an algebraic application of Euclidean polynomial division. It says that f is equal to the remainder of dividing a polynomial f(x) by a linear polynomial (x-r) is f(r).

Given:  \(f(x) = x^3 - 2x^2 + 5x - 7\)

We have to find the remainder of polynomial f(x) when divided by (x - 2).

By using the Remainder theorem, the remainder of f(x) when divided by

(x - r) is f(r).

Here we have to find the value of f(2).

Plug x = 2 is given polynomial f(x).

\(f(2) = (2)^3 - 3(2)^2 + 5(2) - 7 \\f(2) = 8 - 12 + 10 - 7\\f(2) = -1\)

Hence, the remainder when x³- 3x² + 5x - 7 is divided by x - 2 is -1.

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Complete question:

When x³- 3x²+ 5x - 7 is divided by x - 2 then the remainder is?

The -1 part is not inside the natural log.

==============================================

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

Answer:

Quadrant 4

Step-by-step explanation:

Csc = 1/sin

Cos is positive in quadrants 1 and 4

Sin is negative in quadrants 3 and 4

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

Answer: i think c but it might not be right

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

It is stated that the population mean is 3.37, which represents the average GPA of all students at the university in that year.

In the given scenarios:

American households' Halloween spending:

Sample Mean: $58 per household

Claimed Population Mean: $52

In this case, the sample mean represents the average spending per household obtained from the survey conducted in 2008 on 1,500 households. This sample mean is $58. It is a representative value calculated from the data collected in the sample of households.

On the other hand, the claimed population mean refers to the average spending per household in the entire population of American households. In this case, it is claimed or known that the population mean is $52, which represents the average Halloween spending in 2007.

The researchers conducted the survey in 2008 to determine if there was any change in Halloween spending compared to the claimed population mean of $52.

Average GPA of students at a private university:

Sample Mean: 3.59

Claimed Population Mean: 3.37

Here, the sample mean is the average GPA calculated from the data collected in the survey on a sample of 203 students from the university in the spring semester of 2012. The sample mean is 3.59, representing the average GPA of the sampled students.

The claimed population mean, on the other hand, refers to the average GPA of all students at the private university in 2001. It is stated that the population mean is 3.37, which represents the average GPA of all students at the university in that year.

The survey conducted in 2012 aimed to determine if there was any change in the average GPA compared to the claimed population mean of 3.37 in 2001.

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B is therefore represented by the expression: b = 2a + 2c.

An algebraic equation known as a trinomial has three non-zero elements and more than one variable. Examples include: x² + 5y - 25, a³ - 16b + 10, etc. Due to their three elements, these are trinomials.

Let's assume that the factorization of the trinomial ax² + bx + c is of the form (mx + p)(nx + q), where m, n, p, and q are integers.

Expanding this expression using FOIL, we get:

mnx² + (mq + np)x + pq

We know that this expression is equal to ax² + bx + c, so we can equate the corresponding coefficients:

mn = a

mq + np = b

pq = c

Since a and c are positive prime numbers, they have exactly two factors each (1 and themselves). Therefore, m and n must each be equal to either a or 1, and p and q must each be equal to either c or 1.

If m and n are both equal to a, then their product mn is equal to a², which is not prime (since a is prime and greater than 1). Therefore, one of m and n must be equal to 1, and the other must be equal to a. Similarly, one of p and q must be equal to 1, and the other must be equal to c.

Without loss of generality, assume that m = 1 and n = a, and that p = c and q = 1. Then we have:

mn = a

mq + np = a + c

pq = c

Substituting these values into the expression mn + mq + np + pq, we get:

a + a + c + c = 2a + 2c

Therefore, the expression that represents the value of b is:

b = 2a + 2c

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Answer:

51

Step-by-step explanation:

midpoint = (50 + 52)/2

= 102/2

= 51

Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e)  6200cm = 6200x cm. f)  403 kg = 40x kg.

a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.

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Answer:

no

Step-by-step explanation:

"in order for a relation to be a function, each x must correspond with only one y value. If an x value has more than one y-value associate with it"