PLEASE ITS ALREADY LATE AND I NEED TO TURN IT TODAY
Example 1 Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8
hours per day, 5 days a week. Analyze Fatima's potential earnings for the 12 weeks she interns at the
company this summer.
A. Write a function rule to model
the situation
B. Identify the independent
variable
C. Identify the dependent
variable
f(x) =

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

Answer:

B. <TSN and <ISW

C. <KSW and <NST

Answer:

D. ∠ISN and ∠TSW

Step-by-step explanation:

The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.

The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.

Hope this helps!

If not, I am sorry.

Answer:

25c+5d

Step-by-step explanation:

First, write out the equation as you have been given in the problem:

\(5(3c-[d-2(c+d)])\\\)

Next, distribute the -2 to the set of parenthesis containing "c+d" and combine any like terms that you can:

\(5(3c-[d-2c-2d])\\5(3c-[-2c-d])\)

Then, distribute the "-"to the "-2c-d" in the brackets and combine and like terms that you can:

\(5(3c+2c+d)\\5(5c+d)\)

Finally, distribute the coefficient 5 to the terms inside the parenthesis:

\(25c+5d\)

Therefore, 25c+5d is you simplified answer to the problem.

Answer:

Step-by-step explanation:

To calculate the surface area of an A-frame tent with a rectangular floor, you need to find the area of each of its three faces: the front, the back, and the roof.Assuming that the A-frame tent has a symmetrical design, the front and the back will be identical triangles with a base of 6 feet and a height of 4 feet. To find the area of one of these triangles, you can use the formula for the area of a triangle: A = 1/2 * base * height. Therefore, the area of one of the triangular faces is:A_front/back = 1/2 * 6 ft * 4 ft = 12 ft²The roof of the A-frame tent is also a triangle, but with a base of 9 feet and a height that is half of the tent's height (since the tent is symmetrical). So, the height of the roof triangle is 2 feet, and its area is:A_roof = 1/2 * 9 ft * 2 ft = 9 ft²To find the total surface area of the tent, you simply need to add up the areas of the three faces:Total surface area = 2 * A_front/back + A_roof

= 2 * 12 ft² + 9 ft²

= 33 ft²Therefore, you would need at least 33 square feet of canvas to make the A-frame tent described.

2025.8 = x  the cost of tuition as a function of x, the number of

years since 1990.

Linear function C(x) would be,

C(x) = 96 + 5(x - 1990)

(x is the year)

Now for x = 2002

C(2002) = 96..+ 5( 2002 - 1990)

C(2002) = 96 + 5(12)

C(2002) = 96 + 60

C(2002) =156

In year 2002 tution fee will be $238 per credit hour.

Now cost C(x) = 156

So,

456 = 98 + 10(x - 1990)

456- 98 = 10 (x - 1990)

358 = 10(x - 1990)

358/10 = x - 1990

35.8 + 1990 = x

2025.8 = x

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The algebraic expression to represent how much she earns over 5 weeks is 5(b + 25)

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

In this problem, Maddy can rewrite how much she earns over the period of 5 weeks as

5(b + 25)

We can also rewrite this as a general expression for the total number of weeks by adding a variable

n(b + 25)

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1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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One of the features of interactive model of communication is "Feedback where a recipient of communication such as a listener provides a response to a message, often to indicate understanding after a message has been received."

The Feedback is one of the key features that makes the Interactive Model of Communication different from the Linear Model  based on Shannon and Weaver's mathematical model .

The Feedback allow a reciprocal exchange of messages between the sender and receiver, making communication a dynamic and interactive process.

In the Interactive Model, the feedback enables the receiver to provide feedback to the sender, which allows clarification, confirmation, and correction of messages.

The given question is incomplete , the complete question is

One of the features of the interactive model of communication that is discussed by Turner and West which makes it different from the linear model that was based on Shannon and weaver's mathematical model of communication is ?

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The sixth term of the arithmetic progression is 94.

An arithmetic progression is a sequence of numbers such that the difference between any two successive members of the sequence is a constant.

Let's call the first term of the arithmetic progression "a" and the common difference "d". Then the nth term of the progression can be found using the formula:

an = a + (n-1)d

We know that the sum of the first four terms is 14, so we can set up the following equation:

a + (a+d) + (a+2d) + (a+3d) = 14

We also know that the sum of the first eight terms is 108, so we can set up another equation:

a + (a+d) + (a+2d) + (a+3d) + (a+4d) + (a+5d) + (a+6d) + (a+7d) = 108

Now we can use the first equation to substitute for the first four terms of the second equation:

14 + (a+4d) + (a+5d) + (a+6d) + (a+7d) = 108

This gives us:

a + 4d = 94

So the sixth term can be found by substituting n = 6 into the first formula:

a + (6-1)d = a + 5d = 94

Therefore, the sixth term of the arithmetic progression is 94.

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The solution to the differential equation dy/dx = y^2+25 with the initial condition y(2) = 0 is y(x) = -5/x + 25/x^2. To find this solution, we can use the method of separation of variables.

First, we need to separate the variables by rewriting the differential equation as dy/y^2+25 = dx. Then, we can integrate both sides to get ∫dy/y^2+25 dx = ∫dx.

The left-hand side is equal to 1/y + 25/y^2 and the right-hand side is equal to x. By equating the two sides, we get the following equation: 1/y + 25/y^2 = x.

We can then solve this equation for y to get y = -5/x + 25/x^2.

Finally, we can use the initial condition y(2) = 0 to check that our solution is correct. When x = 2, y = -5/2 + 25/4 = 0, so our solution is correct.

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Answer:

x= 15

Step-by-step explanation:

Step 1- Subtract 25 to both sides.

5x+25= 100

    -25    -25

Step 2- Divide both sides by 5.

5x= 75

5     5

x= 15

The value of x for the equation 5x + 25 = 100 is 15.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

5x + 25 = 4 is an equation

We have,

5x + 25 = 100

Subtract 25 on both sides.

5x = 100 - 25

5x = 75

Divide both sides by 5.

x = 15

Thus,

The value of x is 15.

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Answer: The answer is 2.6 gallons

Step-by-step explanation:

10 liters contain 2.6 gallons.

Given that,
3 liters is approximately 0.78 gallons,
To determine how many gallons are in 10 liters to be .

In mathematics, it deals with numbers of operations according to the statements.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here, the volume of 3 liters is approximately equal to 0.78 gallons. So,
3 liters = 0.78 gallons
dividing by 3 both sides
1 liter = 0.78 / 3 gallons
Multiply by 10 on both sides
10 liters = 10 * 0.78 / 3 gallons
10 liters = 2.6 gallons

It implies a volume of 10 liters contains 2.6 gallons

Thus 10 liters contain 2.6 gallons.

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Answer:

8099.6 square feet

Step-by-step explanation:

The surface area of a cylinder is equal to the sum of the areas of the two circular ends plus the lateral surface area. The lateral surface area of a cylinder is equal to the circumference of the base times the height of the cylinder.

The circumference of the base of the cylinder is equal to 2πr, where r is the radius of the base. In this case, the radius of the base is 4 feet, so the circumference of the base is 2π(4) = 8π.

The surface area of the cylinder is then:

2πr^2 + 2πrh

= 2π(4^2) + 2π(4)(3)

= 32π + 24π

= 56π

To convert from square feet to square inches, we multiply by 12^2:

56π * 144 = 8096π

The surface area of the cylinder is approximately 8099.6 square feet to the nearest tenth.

Answer:

Supplementary angles

Step-by-step explanation:

The two angles combined form a line and their measures add to 180°.

Answer: Supplementary angles

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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the fisherman released 5 fish into the lake.To determine the initial population of the fish, we need to find the value of b in the model equation P(x) = 5b^x when x = 0 (i.e., at the time of introduction).

When x = 0, we have:

P(0) = 5b^0 = 5

So, the initial population of fish in the lake was 5. This means that the fisherman released 5 fish into the lake.

Note that the model assumes exponential growth, which may not be accurate in the long term. Factors such as competition for resources, predation, and disease can all affect the growth rate of a population. Additionally, introducing non-native species into an ecosystem can have significant ecological consequences and is often illegal due to the potential harm to native species and their habitats.

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The equation of the line tangent to the curve \(\(x^2y^2 = 10\)\) at the point (3, 1) is y = 1.

To find the equation of the line tangent to the curve \(x^2y^2 = 10\) at the point (3, 1), we can use implicit differentiation.

Let's start by differentiating both sides of the equation with respect to x:

\(\[\frac{d}{dx}(x^2y^2) = \frac{d}{dx}(10)\]\)

Using the chain rule, we can differentiate the left-hand side as follows:

\(\[\frac{d}{dx}(x^2y^2) = 2x \cdot y^2 \frac{dy}{dx} + x^2 \cdot 2y \frac{dy}{dx}\]\)

Simplifying the right-hand side, we get:

\(\[2xy^2 \frac{dy}{dx} + 2x^2y \frac{dy}{dx} = 0\]\)

Now let's substitute the given point (3, 1) into the equation. We have x = 3 and y = 1:

\(\[2(3)(1)^2 \frac{dy}{dx} + 2(3)^2(1) \frac{dy}{dx} = 0\]\)

\(\[6 \frac{dy}{dx} + 18 \frac{dy}{dx} = 0\]\)

Combining the terms, we get:

\(\[24 \frac{dy}{dx} = 0\]\)

Dividing both sides by 24, we obtain:

\(\[\frac{dy}{dx} = 0\]\)

This equation tells us that the slope of the tangent line at the point (3, 1) is zero, indicating a horizontal line.

Now, we need to find the equation of this horizontal line. Since the slope is zero, the line is of the form y = c, where c is a constant. Since the line passes through the point (3, 1), we know that y = 1.

Therefore, the equation of the line tangent to the curve \(x^2y^2 = 10\) at the point (3, 1) is y = 1.

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Answer:

x     y

0    28

1     24

2    20

3    16

4    12

5     8

6     4

7     0

8     -4

9     -8

10    -12

Step-by-step explanation:

Not sure how many you needed, but I graphed it out here is the table from 1-10 on it.

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The ball was in the air for 2.0 seconds before the juggler caught it. This can be answered by the concept from Force and motion.

The ball was thrown upward by a juggler from a height of 4 feet with an initial velocity of 25 feet per second. It was caught by the juggler 5 feet above the ground. The question is asking for the duration for which the ball was in the air before the juggler caught it, rounded off to the nearest tenth of a second.

To solve this problem, we can use the formula h = vit + 1/2at^2, where h is the height of the ball at time t, vi is the initial velocity, a is the acceleration due to gravity, and t is the time in seconds. At the highest point, the velocity of the ball is 0, and the height is given by h = 4 + vit - 1/2gt^2. Solving for t, we get t = (v - sqrt(v^2 - 2gh))/g, where g is the acceleration due to gravity (32.2 ft/s^2) and v is the initial velocity (25 ft/s). Substituting the values, we get t = (25 - sqrt(625 - 2(32.2)(-4)))/32.2 = 2.0 seconds (rounded off to one decimal place).

Therefore, the ball was in the air for 2.0 seconds before the juggler caught it

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

Step 1: $2,322

Step 2: $774

Step-by-step explanation:

795+776+751= 2322

2322÷3=774

Answer:

In the normal ax² + bx + c format, this equation is expressed as:

12.716x² - 17.204x + 9.81 = 0

If we solve for x, it is approximately equal to both 178 and -0.43

Step-by-step explanation:

Let's reformat to ax² + bx + c = 0:

\(1.1(3.4x - 2.3)^2 = 15.5\\1.1(11.56x^2 - 15.64x + 5.29) = 15.5\\12.716x^2 - 17.204x + 5.819 = 15.5\\12.716x^2 - 17.204x + 9.81 = 0\\\)

And now let's find the value of x

\(1.1(3.4x - 2.3)^2 = 15.5\\(3.4x - 2.3)^2 = 15.5 / 1.1\\(3.4x - 2.3)^2 = 14.09\\3.4x - 2.3 = \sqrt{14.09}\\3.4x = 2.3 \pm \sqrt{14.09}\\x = \frac{2.3 \pm 3.75}{3.4}\\x = (1.78, -0.43)\)

Answer:

12.716x^2 -17.204x -9.681=0

Step-by-step explanation:

23

Explanation

Complementary angles are pair angles with the sum of 90 degrees, so we can say that

are complementary angles, therefore

Step 1

so,we need to equals to 90 and solve for x

so, the answer is

23

I hope this helps you

Answer:

60

Step-by-step explanation:

To check: half of 60 is 30, if 10 people leave that's 20, one third of 60 is 60/3  which = 20  

The room hold 60 people when it is full.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that room is 1/2 full of people. After 20 people leave, the room is 1/3 full.

The half of 60

60/2 =  30,

And if 10 people leave that's 20, one third of 60

60/3 = 20  

So, there are 60 people total.

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Answer:

18 ft = 6 yds

3 ft = 36 inches

Step-by-step explanation:

We know that 3 ft = 1 yd

Divide 18 ft by 3

18 ft /3 ft = 6 yds

We know that 1 ft = 12 inches

3 ft * 12 inches /ft = 36 inches

Answer:

\(\large \boxed{18 feet = 6 yards}\)

\(\large \boxed{3 feet = 36 inches}\)

Step-by-step explanation:

1 foot = 1/3 of a yard

Multiply both sides of this equation by 18

\(\large \boxed{18 feet = 6 yards}\)

1 foot = 12 inches

Multiply both sides of the equation by 3

\(\large \boxed{3 feet = 36 inches}\)

Hope this helps!