What does W equal? I’m lost

Answer:

the answer is 16

by substitution

you will get the answer

Answer:

C = 100 + 0.20d

Step-by-step explanation:

Let

C = Total cost

d = distance driven(km)

$100 = fixed cost

$0.20 = additional cost

The algebraic model of the relationship:

Total cost = fixed cost + (additional cost * distance driven(km))

C = 100 + (0.20 * d)

C = 100 + 0.20d

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

=1096 more water

The value of A, B, and C is 64,37,11 respectively. So A+B+C= 112

\(\frac{2}{1+\sqrt[2]{3} }\) +\(\frac{3}{2-\sqrt{3} }\)  

This can be further simplified as follow

[  2 × (2 - √3)  +  3 ( 1 + 2√3)  ]  /  [  ( 1 + 2 √3)  ( 2 - √3) ] ( taking LCM)

[ 4 - 2√3+ 3 + 6√3 ]  /  [ 2 + 4√3 - √3 - 6 ]   ( by multiplication and addition)

[   7 + 4√3 ]  /  [ 3√3 - 4]

[   7 + 4√3 ]  × [ 3√3 + 4]   /   [  ( 3√3 - 4) (3√3 + 4 ) ]    (multiplication and division by 3√3 +4)

[ 21√3 + 36 + 28 + 16√3]  / [ 27 - 16 ]  ( normal addition)

[ 64 + 37√3]  /  11

So.....  A  = 64, B = 37  , C  =  11

So the value of A+B+C will be

A + B + C  =  112 (normal addition)

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Hannah collected more acorns than conkers.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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Taking into account the definition of a system of linear equations, the amount generated by person​ A's tour is ​$171 ​million, and the amount generated by person​ B's tour is ​$143 million.

A system of linear equations is a set of linear equations that have more than one unknown, related by the aforementioned equations and whose objective is to find out their values.

Then, solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

A + B= 314 million

B= A - 28 million

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

A + A - 28 million= 314 million

Solving:

A + A= 314 million + 28 million

2A= 342 million

A= 342 million÷ 2

A= 171 million

Substituting this value in the second equation:

B= A - 28 million

B= 171 million - 28 million

B= 143 million

Finally, the amount generated by person​ A's tour and B's tour is $171 million and $143 million respectively.

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There are 832 different three-course meals that can be ordered at the I Love Food restaurant.

Since there are 13 appetizers to choose from, 16 entrees, and 4 desserts, the number of possible three-course meals is:

13 x 16 x 4 = 832

A food restaurant is a business establishment that specializes in preparing and serving food to customers. These restaurants may offer a variety of cuisines, from traditional and regional dishes to fusion and international flavors. They are typically divided into different categories based on their menus and service styles, such as fast food, casual dining, fine dining, or ethnic restaurants.

Food restaurants are designed to provide a comfortable and enjoyable dining experience for customers, often with attractive decor, seating arrangements, and music. They employ chefs, cooks, servers, and other staff who work together to prepare and serve high-quality food and drinks. Many food restaurants offer takeout or delivery services, allowing customers to enjoy their meals at home or on the go. Some restaurants also provide catering services for events, parties, and other special occasions.

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Answer:

The last one please.

Answer:

41

Step-by-step explanation:

The total cost is the flat rate plus the cost per test

39.99 + .12 m where m is the number of messages

This must be less than or equal to 45

39.99 + .12 m≤ 45

Subtract 39.99 from each side

39.99-39.99 + .12 m≤ 45-39.99

.12 m≤ 5.01

Divide each side by .12

.12m /.12≤ 5.01/.12

m ≤ 41.75

Rounding down to the nearest integer

The maximum number of messages is 41

Option D (9) is not a probability and is not a possible answer choice for a probability question.

To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.

Therefore, P(A ∩ B) = 5/7.

Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.

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Taking out a line of credit can be beneficial for a consumer in a number of ways. Firstly, it can help them build their credit score. By consistently making payments on time, consumers can demonstrate to lenders that they are responsible borrowers, which can lead to lower interest rates and better loan terms in the future. Additionally, a line of credit can provide consumers with access to funds when they need them, which can be helpful for unexpected expenses or emergencies.

However, there are also some potential drawbacks to taking out a line of credit. For one, consumers may be tempted to overspend if they have easy access to credit. This can lead to high levels of debt and difficulty making payments. Additionally, if a consumer fails to make payments on time, their credit score can be negatively impacted, which can make it more difficult to obtain credit in the future.

In summary, taking out a line of credit can be beneficial for consumers in terms of building credit and providing access to funds. However, it is important to use credit responsibly and make payments on time to avoid potential negative consequences.

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On simplification,  \(\frac{18x^{3}y }{3x^{3} }\) we get the final answer \(\frac{18x^{3}y }{3x^{3} } = 6y\).

Simplification is the process of substituting a mathematical expression with a simpler, usually shorter counterpart.

The given expression is \(\frac{18x^{3}y }{3x^{3} }\)      (equation 1)

To simplify this expression, need to simplify the denominator and numerator separately.

Therefore to simplify the numerator first,

\(18x^{3}y = 18 * x *x *x *y\)

Also, we  can write 18 as 6 * 3

\(18x^{3}y = 6 *3 * x *x *x *y\\18x^{3}y = 2*3*3 * x *x *x *y\)

Now simplify the denominator

\(3x^{3} = 3 *x*x*x\)

Put all the simplified values in Equation 1, and we get

\(\frac{18x^{3}y }{3x^{3} } = \frac{2*3*3*x*x*x*y}{3*x*x*x}\)

Now cancel out the similar term, and we have the final answer,

\(\frac{18x^{3}y }{3x^{3} } = 6y\)

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In the quadratic equation, the degree does not act as an important role of finding the roots

A quadratic equation is any equation that has a degree of 2

This means that the maximum number of roots the equation can have is 1

Other than that, the degree plays no role in finding the roots

Hence, the degree does not act as an important role of finding the roots

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Without the actual data or information on the relationship between the weight of yellow-spotted salamanders and the number of yellow spots on their back.

The choice of the trend line would depend on the nature of the relationship observed in the specific data set. To determine the best-fitting trend line for the relationship between the weight of yellow-spotted salamanders and the number of yellow spots on their back, we would need the actual data points and perform a regression analysis. This analysis would help identify the nature of the relationship (linear, quadratic, exponential, etc.) between the variables.

Based on the characteristics of the data, such as linearity or curvature, the most appropriate trend line could be selected. However, since we do not have access to the data or any information about the relationship between weight and spot count, we cannot determine which trend line would best fit the data without further information.

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The correct answer is B.

The notation f(3) = 1 means that the value of the function f at input 3 is 1. In the context of a sequence described by a function, this means that the third term in the sequence has a value of 1.

A function is a mathematical object that takes one or more inputs, performs a specific operation on them, and produces an output. It describes a relationship between two sets of values, often referred to as the domain and the range. Functions are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.

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The speed of the man's shadow's tip at a distance of 10 feet from the light's base is given by dy/dt = 10 ft/s.

AB is equal to 15 feet in height.

Man's height in CD is 6 feet.

From the diagram attached, if BE = y, we may use the ratio of related triangles to obtain,

15/y = 6/(y - x) (y - x)

to obtain, cross-multiply;

15(y - x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

To get, multiply both sides by 3.

3y = 5x

separating the two sides according to t provides;

dy = dt + dx = 3.

(5/3)(dx/dt dy/dt)

putting yields for dx/dt at 6 ft/s;

dy/dt = (5/3)(6) (6)

dy/dt equals 10 ft/s

One of the many real-world applications of trigonometry is the study of heights and distance. The terms height and distance are frequently used while discussing the applications of trigonometry.

The following ideas are incorporated in the trigonometry application for height and distance:

Measurement of the separation between two heavenly bodies

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The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;

y = 50x + 100    ------(eq 1)

y = 75x + 50    ------(eq 2)

A) Let the total cost of the cat tree be y

Let each additional piece added be x.

Since basic tree is $100 and each additional platform costs $50, then we can say that;

y = 50x + 100    ------(eq 1)

Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;

y = 75x + 50    ------(eq 2)

B) Subtract eq 1 from eq 2 to gte;

25x - 50 = 0

25x = 50

x = 50/25

x = 2

y = 75(2) - 50

y = $100

C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.

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Answer:

D)

A=23.5 in^2

Step-by-step explanation:

d*\(\pi\)*m*/360

A=16*\(\pi\)*168/360

A=23.5 in^2

The calculated value of the area of the circle with radius 7 feet is 153.93 square feet.

To find the area of a circle with radius 7 feet, we can use the formula A = πr^2, where A is the area and r is the radius.

Substituting the given value of radius, we get:

A = π(7)^2

Simplifying this expression, we get:

A = 49π square feet

Evauate the expression

So, we have

A = 153.93 square feet

Therefore, the area of the circle with radius 7 feet is 153.93 square feet.

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P(x) =   =0.1033 , X has a Poisson distribution with a mean of 6.

Describe the Poisson distribution using an example?

Given mean =6

λ=6

To find the probability us ethe below formula

P(X=0)=60 e-6/0!=0.0025

P(X=1)=61e-6 /1!=6e-6 =0.0149

P(X=2)=62e-6 /2!=0.0446

P(X<=2)=P(X=0)+P(X=1)+P(X=2)

        =0.0025+0.0149+0.0446

P(X<=2)   =0.062

P(X=4)=64e-6/4!

            =64e-6  /4.3.2.1

         =64e-6 /24

      P(X=4)  =0.1339

P(X=8)=68 e-6/8!

     =4163.351816/40320

    =0.1033

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The complete question is -

Suppose X has a Poisson distribution with a mean of 6. Determine the following probabilities: P(x = 0) = P(x le 2) = P(x = 4) = P(X = 8) = Round your answers to four decimal places (e.g. 98.7654).

(a), occupation is a categorical variable, and correlation measures the linear relationship between two quantitative variables, so calculating a correlation between age and occupation is not appropriate. Secondly, in statement (b), student ratings of faculty teaching and ratings by other faculty members may have a curved relationship, and correlation only measures linear relationships.(c), the variables "sex" and "cell phone color" are both categorical, and correlation is only applicable to quantitative variables..

(a) There is a high correlation between the age of American workers and their occupation.

- The blunder here is that occupation is a categorical (nominal) variable, not a quantitative variable. Correlation measures the strength of the linear relationship between two quantitative variables, so it cannot be calculated between age and occupation.

- Furthermore, even if occupation were a quantitative variable, the relationship between age and occupation is unlikely to be linear. It may have a more complex or curved relationship, which correlation does not capture.

(b) We found a high correlation (r = 1.17) between students' ratings of faculty teaching and ratings made by other faculty members.

- The mistake in this statement is that student ratings of faculty teaching are typically based on ordinal scales, not nominal scales. Correlation calculations are appropriate for quantitative variables, but not for categorical variables or ordinal scales.

- Additionally, a correlation coefficient (r) cannot exceed 1 in absolute value. The range for correlation coefficients is always between -1 and 1, inclusive. Therefore, a correlation of 1.17 is impossible.

(c) The correlation between the sex of a group of students and the color of their cell phone was r = 0.29.

- Similar to the previous statements, the blunder here is that both variables, "sex" and "cell phone color," are categorical variables. Correlation is only applicable to quantitative variables, so it cannot be calculated between these variables.

- As the variables are categorical, they do not have a numerical relationship that correlation can measure. Therefore, stating a specific correlation coefficient (r = 0.29) between these variables is incorrect.

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The weight gained by the spot dog during his time is 57/2 ounces.

An operation is a function in mathematics that converts zero or more input values, also known as "operands" or "arguments," into a clearly defined output value. The operation's complexity is determined by its operand count.

The most frequently studied operations are unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication. The nullary operation, also known as an operation of arity zero, is a constant. A ternary operation, also known as an operation of arity 3, is an example of the mixed product.

Given that, spot the Dog gained 4 3/4 ounces each week for the first 6 weeks of his life.

Convert the mixed fraction into improper fraction:

4 3/4 = 19/4 ounces

The weight gained for 6 weeks is:

19/4 (6) = 114/4 = 57/2

Hence, the weight gained by the spot dog during his time is 57/2 ounces.

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Answer:

i think b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

slope = m = rise/run

slope/m= 50/2 = 25

so it has to have 25x in the answer which is C

it has nothing adding to it because it's y-intercept is 0 which doesn't need to be written

Total amount of money invested = $20000

Interest on the $20000 investment = (11/100) x 20000

Interest on the $20000 investment = $2200

Let the amount invested with 8% interest be m

Interest on the 8% investment = (8/100) x m

Interest on the 8% investment = 0.08m

Let the amount invested with 12% interest be n

Interest on the 12% investment = (12/100) x n

Interest on the 12% investment = 0.12n

The total amount invested is $20000

m + n = 20000.............(1)

Total interest is $2200

0.08m + 0.12n = 2200........(2)

Make m the subject of the formula in equation (1)

m = 20000 - n.............(3)

Substitute equation (3) into equation (2)

0.08(20000 - n) + 0.12n = 2200

1600 - 0.08n + 0.12n = 2200

0.04n = 2200 - 1600

0.04n = 600

n = 600/0.04

n = 15000

Substitute n = 15000 into equation (3)

m = 20000 - 15000

m = 5000

The amount Paul invested at 8% interest i

Answer:

y=x2 -10

Step-by-step explanation:

it is because x is squared

The value of s'(3) would be 2.

What is a function?

In mathematics, a function is a relation between a set of inputs (also called the domain) and a set of possible outputs (also called the codomain) with the property that each input is related to exactly one output.

Since p(s(x)) = x for all x, then we can differentiate both sides with respect to x using the chain rule to obtain:

p'(s(x)) * s'(x) = 1

Now, let x = 5 in the above equation to get:

p'(s(5)) * s'(5) = 1

Since p(5) = 3 and p’(5) = 1/2, we have:

p'(s(5)) = p'(3) = 1/p”(5) = 2

Substituting this back into the previous equation, we get:

2 * s'(5) = 1

Therefore, s'(5) = 1/2.

Finally, since s’(3) = [s’(5) / p’(3)]^-1, we have:

s’(3) = [1/2 / 2]^-1 = 2.

Hence, the value of s'(3) would be 2.

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In trigonometry, it should be noted that the value of sin(-5pi/6) is -0.5.

In order to find the value, we can use the following steps:

Draw a unit circle and mark an angle of -5pi/6 radians.

The sine of an angle is represented by the ratio of the opposite side to the hypotenuse of the triangle formed by the angle and the x-axis.

In this case, the opposite side is 1/2 and the hypotenuse is 1.

Therefore, sin(-5pi/6) will be:

= 1/2 / 1

= -0.5.

We can also use the following identity to find the value of sin(-5pi/6):

sin(-x) = -sin(x)

Therefore, sin(-5pi/6)

= -sin(5pi/6)

= -0.5.

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Recall that the function represented by the graph of the function h(x) reflected over the x-axis is:

Also, recall that the graph represented by the graph of the function h(x) translated n units up is:

Therefore, the function represented by the graph of

after a reflection over the x-axis followed by a translation of n units up is:

Using the commutative property of addition we get:

Answer: Second option.

In a course, your instructional materials and links to course activities are found in a Learning Management System (LMS).

The learning management system (LMS) is the platform where you can access all the necessary instructional materials and links to course activities for your course.

An LMS is a software application that provides an online space for instructors and students to interact and engage in educational activities. It serves as a centralized hub where course materials, assignments, discussions, and other resources are organized and made available to students.

When you enroll in a course, your instructor will usually provide you with access to the specific LMS being used for the course. The LMS may have a unique names. Once you log in to the LMS using your credentials, you will find various sections or tabs where you can access different course materials.

Typically, the course materials section within the LMS contains resources like lecture notes, presentations, textbooks, articles, or videos that are essential for your learning. These materials are often organized by modules or topics to help you navigate through the course content easily.

Additionally, the LMS will provide links to various course activities. These activities may include assignments, quizzes, discussions, group projects, or online assessments. Through these links, you can access and submit your assignments, participate in discussions with your classmates, take quizzes, and engage in other interactive elements of the course.

Overall, the LMS acts as a virtual classroom, bringing together all the necessary instructional materials and course activities in one place, making it convenient for both instructors and students to facilitate learning and collaboration.

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Complete Question

Fill in the blanks :

In a course, your instructional materials and links to course activities are found in ________________.