What is the answer

45w + 123.95 = 753.95

Answer:

27.4 km

Step-by-step explanation:

vertical line- y

17 km/y= tan 54

y= 17/tan 54= 25.2 km

25.2/x= cos 23

x= 25.2/cos 23= 27.4 km

Answer:

\(\mu = 101, \sigma =12\)

And we want to find the percentage of no more than 125. We can use the z score formula given by:

\( z =\frac{X -\mu}{\sigma}\)

And using the value given we got:

\( z=\frac{125-101}{12}=2\)

From the empirical rule we know that within two deviations we have 95% of the values and in the tails 5%.

So we want the percentage below 2 deviations above the mean and the percentage would be (100- 2.5)=97.5%.

Step-by-step explanation:

We know the following parameters:

\(\mu = 101, \sigma =12\)

And we want to find the percentage of no more than 125. We can use the z score formula given by:

\( z =\frac{X -\mu}{\sigma}\)

And using the value given we got:

\( z=\frac{125-101}{12}=2\)

From the empirical rule we know that within two deviations we have 95% of the values and in the tails 5%.

So we want the percentage below 2 deviations above the mean and the percentage would be (100- 2.5)=97.5%.

Total number of outcomes for randomly choosing a vehicle = 25

What is outcome of an event?

Suppose an event is happening. The results which are possible in that event is known as outcome of that event.

Number of sportscar a car dealership has = 12

Number of sports utility vehicle a car dealership has = 6

Number of luxury car a car dealership has = 7

Total number of outcomes for randomly choosing a vehicle

                                                                                  = 12 + 6 + 7 =              

                                                                                  =  25

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An interval variable is one that has numerical values and still makes sense when you average the data values. This type of variable is used in statistics and data analysis to measure continuous data, such as temperature, time, or weight.

Interval variables are based on a scale that has equal distances between each value, meaning that the difference between any two values is consistent throughout the scale.

Interval variables can be used to create meaningful averages or means. The arithmetic mean is a common method used to calculate the average of interval variables. For example, if a researcher is studying the temperature of a city over a month, they can use interval variables to represent the temperature readings. By averaging the temperature readings, the researcher can calculate the mean temperature for the month.

In summary, interval variables are essential in statistics and data analysis because they can be used to measure continuous data and create meaningful averages. They are based on a scale with equal distances between each value and are commonly used in research studies.

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The correct answer is: No, neither method shows that factors are necessary or sufficient.

The methods of agreement and difference are both used in causal inference to analyze the relationship between factors and outcomes. However, neither method alone can determine whether factors are necessary or sufficient conditions.

The method of agreement examines cases where the outcome occurs and compares the presence or absence of different factors. If a factor is consistently present in all cases where the outcome occurs, it suggests that the factor may be related to the outcome. However, this method does not provide information about whether the factor is necessary or sufficient.

On the other hand, the method of difference compares cases where the outcome occurs and cases where it does not, identifying factors that are present in the former but absent in the latter. This method helps identify factors that are associated with the outcome, but it also does not establish whether the factors are necessary or sufficient conditions.

To determine whether a factor is necessary or sufficient, additional evidence and reasoning are required. Additional experiments, data analysis, or theoretical considerations are needed to establish the causal relationship and determine the nature of the factor's influence on the outcome. Hence, "No, neither method shows that factors are necessary or sufficient" is the correct option.

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Answer:

1. x=60

2.x=5

3.x=8

4.x=10

Step-by-step explanation:

im assuming you want to find x value for each.

Answer:

1. 60

2. 5

3. 8

4. 10

Step-by-step explanation:

1. 115+(x+5)=180

x=60

2. 180-136=7x+9

35=7x

x=5

3. 37=6x-11

6x=48

x=8

4. 180-142=2(x+9)

38=2x+18

20=2x

x=10

Answer:

  (a)  A two column table with five rows. ... The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

You want to know which table shows a relation with zero slope.

When a graph has zero slope, it is a horizontal line. Every y-value is the same.

The table demonstrating zero slope will have all y-values the same:

  The second column, y, has the entries, 2, 2, 2, 2

Answer:

So the answer is 2^-3

Step-by-step explanation:

The principle is the same no matter what the base.

Log_2 (7) + Log_2(3/28) - Log_2(6)

+ means multiply

- means divide

Log_2(7 * 3/28 /6)

Log_2(7/6 * 3/28)

Log_2(1/2 * 1/4)              3 divides into 6 twice. 7 divides into 28 four times

log_2 (1/8)

This is equivalent to 2^(-3)

The number to multiply with 3 / - 12 to get 5 / 3 is - 20 / 3.

Let's express the expression into an equation before finding the value you can multiply - 3 / 12 to get a product of 5 / 3.

Therefore, let the number be x

Hence,

3 / -12 × x = 5 / 3

multiply both sides of the equation by - 12

3x = 5 / 3 × - 12

3x = - 60 / 3

3x = -20

divide both sides by 3

x = - 20 / 3

Therefore, the number to multiply is - 20 / 3.

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Answer:

See below

Step-by-step explanation:

Quarters= 25(x)

Nickels =5(x+16)

25x+5(x+16)=590 (no decimal)

If you solve for x, you’ll get the number of quarters.

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (9, 9)

Point (6, 4)

Step 2: Find slope m

The reciprocal (inverse or indirect quote) for the given exchange rates is as follows:

USO/DKK: The reciprocal exchange rate is 0.1557 DKK/USO.

GBP/NZD: The reciprocal exchange rate is 0.4898 NZD/GBP.

USO/INR: The reciprocal exchange rate is 0.0226 INR/USO.

To calculate the reciprocal quote, we take the reciprocal of the given exchange rate. For example, for USO/DKK with an exchange rate of 6.4270 DKK per USO, the reciprocal is 1 divided by 6.4270, which equals 0.1557 DKK per USO.

Similarly, for GBP/NZD with an exchange rate of 2.0397 NZD per GBP, the reciprocal is 1 divided by 2.0397, which equals 0.4898 NZD per GBP.

Finally, for USO/INR with an exchange rate of 44.333 INR per USO, the reciprocal is 1 divided by 44.333, which equals 0.0226 INR per USO.

These reciprocal quotes represent the inverse of the original exchange rates.

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Complete question: Calculate the reciprocal (inverse or indirect quote) for the following currency pairs:
1. USO/DKK: 1/6.4270 or DKK/USO: 1/350
2. GBP/NZD: 1/2.0397 or NZD/GBP: 1/0.7000
3. USO/INR: 1/44.333 or INR/USO: 1/44.333

Answer:

True statement: B) m∠STP=90°

To answer this question, we need to take into account the reflection over the y-axis is given by the following rule:

If (x, y) is reflected over the y-axis, then the image is (-x, y).

Then, from the graph, we have that the coordinates are:

B(5, 5)

S(2, 2)

I(5,0)

Then, the image across the y-axis is:

B(5, 5) ---> Ry-axis ---> (-5, 5)

S(2, 2) ---> Ry-axis ---> (-2, 2)

I(5, 0) ---> Ry-axis ---> (-5,0)

Then, the rule for the new image is (-x, y).

Answer:

10^2  10^3  10^5

Step-by-step explanation:

NP i did the test Before

Therefore, the equation in the form of y = mx + b that represents this linear function is: y = -3.2x + 0.1

To write an equation in the form of y = mx + b for a linear function, we need to find the slope (m) and the y-intercept (b).

We can use any two points from the given set of points to find the slope:

m = (y2 - y1) / (x2 - x1)

Let's use the first and second points:

m = (-5.5 - 2.5) / (1.75 - (-0.25))

m = -8 / 2.5

m = -3.2

Now, we can use the slope and one of the points to find the y-intercept:

y = mx + b

-5.5 = (-3.2)(1.75) + b

b = -5.5 + 5.6

b = 0.1

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Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

To calculate the real GDP in 2020 using 2020 as the base year, we need to multiply the quantities produced in 2020 by the prices in 2020.

From the table, we can see that in 2020, the quantity of cameras produced is 20, the quantity of legal services is 100, and the quantity of books is 150.

The corresponding prices for cameras, legal services, and books in 2020 are $50, $200, and $10 respectively.

To calculate the real GDP, we multiply the quantities produced by their corresponding prices:

Real GDP = (Quantity of cameras in 2020 * Price of cameras in 2020) + (Quantity of legal services in 2020 * Price of legal services in 2020) + (Quantity of books in 2020 * Price of books in 2020)

Real GDP = (20 * $50) + (100 * $200) + (150 * $10)

Simplifying the equation:

Real GDP = $1000 + $20,000 + $1500

Real GDP = $22,500

Therefore, the real GDP in 2020, using 2020 as the base year, is $22,500.

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In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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Answer: At 12:00 p.m., the minute hand points straight up at (0,10).

At 12:05 p.m., the minute hand has rotated 30 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(30) = 8.66

y = 10 * sin(30) = 5

So, the coordinates would be approximately (8.66, 5).

At 12:45 p.m., the minute hand has rotated 180 degrees. The tip of the minute hand would be approximately:

x = 10 * cos(180) = -10

y = 10 * sin(180) = 0

So, the coordinates would be approximately (-10, 0).

At 12:55 p.m., the minute hand has rotated 330 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(330) = -5.77

y = 10 * sin(330) = -8.66

So, the coordinates would be approximately (-5.77, -8.66).

Step-by-step explanation:

The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.

To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.

Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:

$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.

Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.

Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.

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After simplification solution of expression are,

⇒ √15x²

We have to give that,

An expression to simplify,

⇒ √3x × √5x

Now, We can simplify as,

⇒ √3x × √5x

⇒ √3 × √5 × x × x

⇒ √15 × x²

⇒ √15x²

Therefore, The solution is,

⇒ √15x²

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Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

Answer:

27

Step-by-step explanation:

Let x be the vertical distance

sin4 = x/387

x ~= 26.995775534 = 27 (cor to nearest foot)

Answer:

y = 2x - 9

Step-by-step explanation:

y= mx + b

plug in slope

y = 2x + b

plug in points

1 = 2 (5) + b

simplify

1 = 10 + b

subtract 10 each side

-9 = b

plug in to original equation

y=2x - 9

Answer:

b

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

\(5^{3}\) × \(5^{4}\)

=\(5^{(3+4)}\)

= \(5^{7}\)

Answer:56

Step-by-step explanation:

1. Therefore, the sequence is geometric.

2. Therefore, the sequence is arithmetic.

3. Therefore, the sequence is neither arithmetic nor geometric.

4. Therefore, the sequence is geometric.

5. Therefore, the sequence is neither arithmetic nor geometric.

For the arithmetic, geometric, and harmonic sequences, a collection of sequences and series formulas is provided below. The sequence and series formulas presented here contain formulas for determining the sum of the n terms in a series as well as the nth term of the sequence.

A common difference exists between two succeeding terms in an arithmetic series. There is a typical ratio between succeeding terms in a geometric series.

1. Given sequence is 27, 9, 3, ...

As the difference between the number is large.

So, we will check for geometric sequence.

\(r = \frac{27}{9} = \frac{3}{3} = \frac{1}{3}\)

Therefore, the sequence is geometric.

2. Given sequence is 4, 8, 12, ...

As we can see there is uniform difference of 4

Therefore, the sequence is arithmetic.

3. Given sequence is 50, 56, 60, ...

As the difference between the number is not uniform.

So, we will check for geometric sequence.

\(r = \frac{50}{56} \neq \frac{56}{60}\)

There, the sequence is neither arithmetic nor geometric.

4. Given sequence is 36, 12, 4, ...

As the difference between the number is large.

So, we will check for geometric sequence.

\(r = \frac{36}{12} = \frac{12}{4} = 3\)

Therefore, the sequence is geometric.

5. Given sequence is 4, 24, ...

The number of terms is very less and hence we can't decide.

There, the sequence is neither arithmetic nor geometric.

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Answer:

3.61

Step-by-step explanation:

There is many way how to get the length of a triangle. You can use many method but to your question the best method to use is Law of sine and cosine Side Angle Side triangle formula. This formula is this one (a^2 = b^+c^2-2bc*cos(angle)). So if your fill it up it would be (a^2 = 3^2+4^2-2*3*4*cos(60)). The answer would be 3.61

Answer:

Step-by-step explanation:

Let a=3, b=4 and angle C=60.

By law of cosines:

\(c^2=a^2+b^2-2ab cos C\)

Substitute the given values:

\(c^2=3^2+4^2-2(3)(4)cos(60)\)

Solve to get c=3.61.

Therefore, the length of the third side is 3.61.