zoe is 16 years old her brother is 3 years older then half her age . wright a numerical expression for her brother lukes age

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

m=3, or in y-intercept form, y=3x-3

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

The correct answer is option d.1350 inches.There are 1350 inches of water in 45 inches of dry powdery snow.

The water equivalent ratio for dry powdery snow is 30:1, meaning that for every inch of snow, there is an equivalent of 30 inches of water. To determine the amount of water in 45 inches of dry powdery snow, we need to multiply 45 by the water equivalent ratio of 30:1.

45 inches of snow multiplied by the water equivalent ratio of 30:1 gives us:

45 inches x 30 inches of water per inch of snow = 1350 inches of water.

Therefore, there are 1350 inches of water in 45 inches of dry powdery snow.

The correct answer is option d. 1,350 inches.

In summary, when given the water equivalent ratio for dry powdery snow and the depth of snow, we can calculate the equivalent amount of water by multiplying the depth of snow by the water equivalent ratio. In this case, multiplying 45 inches by the water equivalent ratio of 30:1 gives us 1350 inches of water.

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Functions are used to represent graphs, and vice versa.

The function represented by the graph is \(f(x) =- |x + 4| + 3\)

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

\(f(x) =a |x - h| + k\)

Where

\(Vertex = (h,k)\)

The vertex is the minimum or the maximum point on the graph.

So, we have:

\(Vertex = (-4,3)\)

The function becomes

\(f(x) =a |x + 4| + 3\)

The function also passes through the point (-1,0).

So, we have:

\(0 =a |-1 + 4| + 3\)

\(0 =a |3| + 3\)

Remove the absolute bracket

\(0 =3a + 3\)

Subtract 3 from both sides

\(3a =- 3\)

Divide both sides by 3

\(a =- 1\)

Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)

\(f(x) =- |x + 4| + 3\)

Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)

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Answer:

0

Step-by-step explanation:

Answer:

0

I hope this helps!

Answer:

A and 1/3

Step-by-step explanation:

Answer:

3.49 liters of paint in each container

Step-by-step explanation:

So he started off with 8.65 + 8.09 which is 16.74. Then he poured it equally into 4 containers and had 2.78 leftover. so you tak 16.74 - 2.78 which is 13.96. Lastly you divide 13.96 by 4 which is 3.49

I believe this is correct!

Answer:

3.49 liters per container

Step-by-step explanation:

First we need to find the total amount of paint

8.65+8.09=16.74(total amount of paint)

Now subtract 2.78 from 16.74 and then divide that by 4

16.74-2.78=13.96

13.96/4=3.49

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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The fact that Maria runs of a mile every 8 minutes means that we runs faster.

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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The function that is positive for the entire interval [-3, -2] is:

The function has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0). This means that the function is positive for the entire interval [-3, -2] because it is above the x-axis for this interval.

To further explain, a function is positive when its value is above the x-axis on a coordinate plane. In this case, the first function has a minimum value of (0, -3) which means that it is below the x-axis at this point. However, it crosses the x-axis at (-3, 0) and (3, 0), meaning that it is above the x-axis for the entire interval between these two points, including the interval [-3, -2].

The other functions are not positive for the entire interval [-3, -2] because they either have minimum values that are below the x-axis within this interval, or they cross the x-axis within this interval, meaning that they are not positive for the entire interval.

In conclusion, the function that is positive for the entire interval [-3, -2] is the first one because it is above the x-axis for this entire interval.

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Answer:

PQT and TQS

Step-by-step explanation:

they must supplement each other to get the 90

Answer:

putting the value of z

8(4) - 3

32 - 3

=29

Step-by-step explanation:

Answer:

75 inches is bigger than 2 yards.

Step-by-step explanation:

One yard is 36 inches long two is 72, 75 is greater than 72.

Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

The quadratic inequality is given as follows:

y ≤ 2/3(x + 9)² - 27.

The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:

y = a(x - h)² + k

a is the leading coefficient of the equation.

In the context of this problem, the vertex is at point (-9, -27), hence the parameters are as follows:

h = -9, k = -27.

Hence the rule is:

y = a(x + 9)² - 27.

When x = 1, y = 39.67, hence the leading coefficient is calculated as follows:

39.67  = a(1 + 9)² - 27

100a = 66.67

a = 2/3

Hence the inequality is:

y ≤ 2/3(x + 9)² - 27.

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A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Answer:

77.5

Step-by-step explanation:

55 and 100 average provides comprehensive information about what is the average of 55 and 100, and how it is being calculated mathematically. To calculate the average, the given quantities 55 and 100 can be of any physical quantity but both should have been expressed in the same measurement units.

55 and 100 average:

= (55 + 100)/2,

= 155/2,

= 77.5

The main difference between the SSS and SAS postulates is the type of information used to determine congruence

The SSS (Side-Side-Side) and SAS (Side-Angle-Side) postulates are two methods used in geometry to determine if two triangles are congruent.

The SSS postulate states that if two triangles have all three sides in the same measures, then the two triangles are congruent.

The SAS postulate states that if two triangles have two sides and the included angle (the angle between the two sides) in the same measures, then the two triangles are congruent.

The main difference between the SSS and SAS postulates is the type of information used to determine congruence. The SSS postulate uses the lengths of all three sides of the triangles to determine congruence, while the SAS postulate uses the lengths of two sides and the measure of the included angle.

Both the SSS and SAS postulates can be used to determine if two triangles are congruent, but they are not interchangeable. The SSS postulate can only be used if the two triangles have all three sides in the same measures, and the SAS postulate can only be used if the two triangles have two sides and the included angle in the same measures.

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The pattern of error seems to be adding 4 and subtracting 10 in each calculation.

In the first example, the student adds 4 to the correct sum of 10 and 6, resulting in 14 instead of the correct answer of 16. In the second example, the student subtracts 10 from the correct difference of 11 - 5, resulting in 1 instead of the correct answer of 6.

From these examples, we can observe a consistent pattern in the errors made by the student. Specifically, the student is adding 4 to the correct sum and subtracting 10 from the correct difference. This suggests that the student may have misunderstood or misapplied the rules of addition and subtraction.

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Answer:

45 sandwiches

Step-by-step explanation:

create a proportion from sandwiches to people equals sandwiches to people

21/14 = s/30

21/14 can be reduced to 3/2

let 's' = # of sandwiches

3/2 = s/30

cross-multiply to get:

2s = 90

s = 45

y = 2√10......... or y=√40

Answer:

y=5

Step-by-step explanation:

Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.

Answer:

2.25

Step-by-step explanation:

If you divide any of the bigger numbers on the bottom by the bigger numbers on top, you would get 2.25 no matter what.

Answer:

C

Step-by-step explanation:

\(x = 180 - (50 + 62) = 180 - 50 - 62 = 68\)

The frequency of oscillation for the spring with the constant value of 2.5×10⁴ is 0.0012

The term frequency is defined as the number of waves that pass a fixed point in unit time and it is also known as the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Here we have given the following values,

Spring constant = 2.5 × 10⁴

And the weight of the cart = 1.4 kg

Now, we have calculated the value of the frequency of oscillation as,

=> v = 1/T

Here T refers the time period.

Where it can be rewritten as,

=> 1/2π x √(k/m)

Now, we have to apply the values on it then we get

=> 1/2π  x √(1.4/2.5 x 10⁴)

=> 0.1592 x 0.0074

=> 0.0012

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The reduction of the quadratic equation (v² - 7v - 30)/(v² - 5v - 24) is; (v - 10)/(v - 8)

We are given the equation;

(v² - 7v - 30)/(v² - 5v - 24)

Let us simplify the numerator into its' factors to get;

v² - 7v - 30 = (v + 3)(v - 10)

Similarly for the denominator, we have;

v² - 5v - 24 = (v - 8)(v + 3)

Thus, our equation gives;

(v² - 7v - 30)/(v² - 5v - 24) = [(v + 3)(v - 10)]/[(v - 8)(v + 3)]

⇒ (v - 10)/(v - 8)

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